diff --git "a/data/dm_maths/full_data_1/1135_11255.jsonl" "b/data/dm_maths/full_data_1/1135_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1135_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) -1 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 5, 3, 119 in descending order.\nAnswer: 119, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4476, -4, -1 in increasing order.\nAnswer: -4476, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**3 - 3*r**2 + 4*r + 3. What is the units digit of h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2935469 or 2935464?\nAnswer: 2935464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epm when three letters picked without replacement from armtmpe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60900212 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 209230002 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 - 9\/(-2). Let t be 324\/(z\/1) + -3. Suppose -4*l + t = -110. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.011, 4, -2\/15, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2061 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 952216092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 265\/11*l + 150\/11*l**3 + 1\/11*l**5 + 472\/11*l**2 - 56\/11*l**4 + 0 = 0?\nAnswer: -1, 0, 5, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-12)\/4 + 1). Is 5327\/14 + h\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 times 14214?\nAnswer: 13531728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40052 + 150091. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {m: 1, o: 1, e: 4, y: 2, x: 7, p: 3}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69 - -5?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/115)\/((-60)\/50)*8\/(-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7517417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31383 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from accdaca. What is prob of picking 1 c and 1 a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13831.\nAnswer: 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 3*d + 2*d)*(1 + 6286*d - 3 - 6305*d) to the form a + b*d**2 + u*d and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**5 + 1024*r**4 + 10608*r**3 - 42184*r**2 - 10612*r + 41160 = 0?\nAnswer: -245, -14, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d + 2*n - 53, 3*n - 3 = 0. Let m = 49 - d. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 54 = -r + 3*t, 5*t = -3*r + 195. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:20 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3509457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**3 - 2*i**2 - 3*i + 15. Let y(z) = -7*z**3 - 4*z**2 - 7*z + 30. Let c(l) = 7*g(l) - 3*y(l). Differentiate c(x) with respect to x.\nAnswer: -21*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d + 14*d + 4*d in the form m*d + s and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7651003337?\nAnswer: 23, 257, 1294367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(18\/3688) - 4. Suppose 0 = 7*o - 3*o - q. What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 25\/17, -0.4 in increasing order.\nAnswer: -5, -0.4, 25\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.9 + -1.9. Let y = 20 - i. Let h = -8 + y. Which is the closest to 0.2? (a) 1 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/320 and -35\/576?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1066700 (base 9) to base 15\nAnswer: -b58d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/406017 or -1?\nAnswer: -4\/406017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*l - 30, -4*h - 4*l + 3*l = -21. Suppose -2*v + 3*v = h. Let c(d) = d**3 - 5*d**2 - 6*d + 2. Determine c(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 4:08 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(19\/4)*b\/(b*b**45\/b*b) assuming b is positive.\nAnswer: b**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(133) - sqrt(133)*5)*-3)\/(sqrt(7) + (sqrt(700) + sqrt(700)*-1 - sqrt(700)) + sqrt(7) + -4*sqrt(7)*1).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2 + 2 - 3 + 5*b + 0 + 2. Determine h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -18. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 - 235 = 134*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 35.9. Let q = 5.74 - -0.26. Let s = q + m. Which is the biggest value? (a) s (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/12 (b) -15 (c) 4 (d) -22 (e) -8\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 226 and 16329743.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297965 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 3*f + f. Let u(a) = -3*a**2 + 1. Let o(c) = 4*c**2. Let d(j) = -2*o(j) - 3*u(j). Let k(r) be the first derivative of d(r). Calculate k(q(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17918 and 50065.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + (-385)\/(-33))*3\/(-22) and (-33)\/36 + 2*1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/7, -4.2, -3\/8, -0.39 in ascending order.\nAnswer: -4.2, -0.39, -3\/8, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 874 = -4*y, 37 = 5*w + 12. What is the greatest common divisor of y and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 12*a**2 + 9*a + 16. Determine b(-10).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16e + 4?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a - 15. Let y = a + -2. What is the lowest common multiple of 3 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 3*h**2 - 6*h**2)*(-984*h + 1976*h - 277 - 998*h).\nAnswer: 6*h**3 + 277*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {k: 2, q: 7, c: 1}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 376. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6058828 by 118.\nAnswer: 51346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4 = -3*t + t, -4*a - 4 = 4*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 539198 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2. Let k(u) = -u**2 + u**2 + 0*u**2 - 3*u**2 - 2. Suppose 0 = -6*p + p - 4*j + 5, 5*p - 5 = 4*j. Give p*k(x) - 4*o(x).\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -52. Let g be 32\/6 - (12\/9 + c). Suppose 0 = -5*l - z + 539 + 465, g*l + 4*z = 800. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - d + 1. Let j(w) = 2*w**3 - 3*w**2 - 3*w + 5. Calculate -j(r) + 3*z(r).\nAnswer: -2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59511219 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4197 and -1.9986.\nAnswer: -8388.1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (141\/54)\/(2\/(9\/(-4)*-16))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 662442375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.055*-99.\nAnswer: 5.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(2\/27)*h**(2\/3)*h\/(h\/(h*h*h\/h**(-1))) assuming h is positive.\nAnswer: h**(128\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -22. Suppose 4*y = 6 + i. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 12 + 21)*(1 - 1 + z).\nAnswer: 79*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 0*k**2 + 2*k**2)*(-7*k**2 + 5*k**2 + 0*k**2) + (148*k - 148*k + 13*k**2)*(-3*k - 3*k + k)*(4*k + k - 3*k).\nAnswer: -136*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 373452203 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 1\/((-25)\/(-10) - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.755 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 + 150. Let y = -2 - 0. What is the nearest to y in -4, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from {y: 10, w: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -8*z + 9*z. Let i be -4 - -58 - 4\/(-2). What is the highest common factor of z and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/4*f**3 + 7\/2*f - 17\/4*f**2 + 2 = 0. Calculate f.\nAnswer: -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 7 - (-29 - -19)) + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 4*s + 4. Let b be 4\/((-16)\/12) - -5. Suppose 0 = -o + 2*v - 2, b*o + v - 3*v = 4. What is c(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaahaappahhhh. What is prob of sequence hhph?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/5 + 4608*p**2\/5 - 4593*p + 5735.\nAnswer: -(p - 1147)*(2*p - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -430\nAnswer: -19\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(3243\/188)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1071)\/70380*-92*2*-1.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226\/(-1 - 12\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78220189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {a: 3, x: 1, r: 2, k: 3, v: 1, d: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-7 - -9))*-4 - 0\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 38 = -2*o, t = -7*o + 2*o - 14. Let w = -6 + t. Suppose 0 = -w*c - 2*c + 166. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10704 or 1.3?\nAnswer: 10704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 1\/6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyt when four letters picked without replacement from ttytyyt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/3)*t*t*t\/(t*t**2))\/(t**(-1))**(-18) assuming t is positive.\nAnswer: t**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (3 - 4 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 56 + 16)*(0*j - 5*j + 2 + 3*j)*(1 - 12 - 15 + (3 - 2 - 3)*(5 - 4 + 0)).\nAnswer: 3864*j - 3864","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15*r**3 + r**2 - 3*r + 7. Is 11 a factor of k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/(-10))\/((-80)\/10*(-22)\/(-264)).\nAnswer: -99\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - l - 32, 3064*k - 3058*k = 5*l + 104 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(sqrt(245) + (sqrt(245) + -1)*3 + sqrt(245) + -4))**2.\nAnswer: -11900*sqrt(5) + 154281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9199 - 9184. What is the remainder when 254 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - -3.93. Let y = 3 - g. Let n = -0.02 - 0.98. Which is the nearest to n? (a) y (b) -5\/4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 22. Suppose -9*i + 4*i = -35. Let a be c(i). Suppose 3*l - 2 = 2*l. Solve -u = -l*k - 2*u - 3, -5*u = 3*k - a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 195871.\nAnswer: 2154581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30036.\nAnswer: 2, 3, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/25, -1\/2, -1, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1054440 and 3232.\nAnswer: 4217760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - (-65)\/10)*16 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, j: 4}. What is prob of sequence jjpj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n = -9. Suppose 73 = 5*d + j, -4*j + 9 = -n. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 2*m**2 + 0*m**2)*(-129 - m + 298*m**2 - 143 + 270).\nAnswer: 298*m**4 - m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174 + 174 - 440*l)*(5*l - 62*l - 24*l).\nAnswer: 35640*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-6) - 2 - 333\/(-27). What is the highest common factor of v and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 + 68*s**2\/5 - 458*s\/5 - 528\/5.\nAnswer: -2*(s - 24)*(s - 11)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32a9a + -2045?\nAnswer: 30a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from eeeeejjejeeeeeeeej.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17759770*d - 35519214*d + 17759444*d - 111*d**2.\nAnswer: -111*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -74. Which is the nearest to 0.2? (a) -3\/4 (b) -2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6563, -6482, -6401?\nAnswer: -6320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l - 162 = -88*l. Suppose 84 = l*m - 50*m. Solve 0*v - 10 = 5*v - 2*y, 5*y + m = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 103.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0226124 rounded to three dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 + 274. Let a = h - 184. Let q = 1.9 - -8.1. What is the nearest to q in 3\/5, a, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 + (-3 + 2 + 3)*(0 - 12 + 1))*(16 + 1 - 1)*(q - 3 + 3).\nAnswer: -320*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*4\/(-3). Suppose z*s = s. Which is smaller: -1\/3 or s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540122 is divided by 341?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2\/3, -54, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2458 - 2402. Calculate the lowest common multiple of 196 and m.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -366*p*s**2*v**2 + 16148*p*s**2*v - 2*p*s*v - 25*v**2 wrt v.\nAnswer: -732*p*s**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*y**2 - 174*y**2 + 7 + 4*y - 5 - 18*y.\nAnswer: -604*y**2 - 14*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 17*i + 45. Is g(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-2)*r*r)\/r)**40)**(-2\/9) assuming r is positive.\nAnswer: r**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4365.9992696 - 4366. Round b to 5 decimal places.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -755, -1048, -1189, -1172?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -23*h**3 - 8*h + 11. Let t(r) = -15*r**3 - 5*r + 7. Let n = 17 + -9. Let o(z) = -90*z - 1715. Let b be o(-19). What is b*k(c) + n*t(c)?\nAnswer: -5*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 4 in decreasing order.\nAnswer: 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2. Let c(l) = -589*l + 19. Let p(j) = 98*j - 3. Let u(n) = -3*c(n) - 19*p(n). Calculate u(y(r)).\nAnswer: -380*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9 + 2*b + 9 + 10 - 29 - 6*b**2. Let a(r) = 11*r**2 - 3*r + 1. Calculate -3*a(w) - 5*k(w).\nAnswer: -3*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -694, -1054?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41231 (base 10) in base 11?\nAnswer: -28a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + k + 9146 = 0, -2*d - 4*k + 2321 = -1355. What are the prime factors of d?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -24*r**2 - 3*r - 4. Let d be u(-3). Let i = d + 3167\/15. Which is the second smallest value? (a) i (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 22*q + 616. What is the remainder when 792 is divided by g(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 + 9*h + 24)*(-53*h**3 + 30*h**3 + 25*h**3 - 8*h)*(-3 + 7 - 2) as p*h**3 + i*h**4 + g*h + m*h**2 + l and give m.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**4\/12 - 7*b**3\/6 - 3*b**2\/2 - 2*b. Let d be n(-7). What are the prime factors of -19*(2 + d) - 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12225 (base 6) to base 10.\nAnswer: -1817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 42 = 6*m, 3*m - 26 = -13*q + 11*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -110010111?\nAnswer: 110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002058499 rounded to 6 dps?\nAnswer: 0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooaooooaooaoaoooaoo. Give prob of sequence oaoa.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3128897003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -8\/57 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(108)*1)\/sqrt(9)) + (2*sqrt(13)*-6)**2 + -2.\nAnswer: sqrt(13) + 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (351\/(-45))\/(-13)*5*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 2*u**2 + 1\/2*u**4 + u**3 + 1\/20*u**5 + 16*u + 0. Let b be q(-5). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2 - f. What is o(2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*c - 71, -4*c + 147 = 4*v - 9*v. Suppose -7*p + 5*p + c = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x - 1. Let c(v) = 3*v**3 - 8*v**2 - 8*v + 9. Let h(t) = -c(t) + 4*m(t). Let i be h(-7). Solve -3*f - i - 24 = -5*u, -2*f - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118955376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - q**2 - 2*q. Let y be k(2). Let v = y - 10. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -14, -7, 495?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.1 - -25. Which is the third biggest value? (a) -2.1 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31130 and 65400?\nAnswer: 203590200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:42 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 14. Calculate w(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 761*x**4 + x + x**3 - 1 + x + 758*x**4 to the form w*x**2 + k*x**3 + n*x**4 + j*x + y and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 829, 1052, 1155, 1144?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25794.93t?\nAnswer: 25794930000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - (-1354 - ((-1)\/1)\/(-1)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 3:03 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.7 in -8, 3, 0.5, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 7 - 7. Put 6, n, 5 in ascending order.\nAnswer: n, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30372646 + 5?\nAnswer: -30372641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 20*l + 123. Calculate m(-27).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 29a7a0 (base 16) to base 3\nAnswer: 12010200200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 3*p - 5*p)*(13 - 111 + 4).\nAnswer: 752*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -86553 greater than -86447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 52, 45, 24, -17, -84, -183, -320?\n\"Answer: -b**3 + 2*b**2 + 2*b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 621.102228 to zero decimal places.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.82*16.5.\nAnswer: 13.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -403, -802, -1203, -1606, -2011?\n\"Answer: -x**2 - 396*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 32*u**2 + 44*u + 330. Calculate w(-33).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1365318752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/7 - 377336*f**3\/7 + 269540*f**2 + 9433400*f\/7 - 47168250\/7 = 0. Calculate f.\nAnswer: -188673, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.2 and 3790 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -8. Suppose u - w = 33. Let b = u + 4. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 119930 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 243*l - 3633. Let m be n(-16). Let g(u) = -u**3 - 6*u**2 + 5*u - 6. Let a(y) = -y**3 + y**2 + 1. Calculate m*g(j) - 6*a(j).\nAnswer: 7*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 1, b: 1, s: 10, z: 1, u: 5}. What is prob of sequence zbss?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-8))\/(2\/(-8)). Let w(z) = 2*z - j*z - 2*z + 2*z**2 - 7. Calculate the remainder when w(5) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -567.4 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 6 - 876\/7. Let i = l - -130. Let h be 2\/1 - (0 - -2). Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 1.49967212.\nAnswer: 1.99967212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -5*p + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 3*f - f)*(12*f**2 + 16*f - 10*f**2 + 16*f).\nAnswer: 6*f**3 + 96*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/27 + ((-78)\/9)\/13. Factor 0 - w*u**2 - 8\/9*u + 4\/9*u**3.\nAnswer: 4*u*(u - 2)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016806 to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29794 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.09, -2\/11, 3\/8 in decreasing order.\nAnswer: 3\/8, 2\/7, 0.09, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -17. Let u = n - 20.7. What is the third smallest value in 1, u, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44791541 to the nearest integer?\nAnswer: 6693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 59156888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 3, w: 6, z: 1}. Give prob of sequence zpx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284160 and 7770.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 - 76.5. Let z = u + 16.4929. What is z rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (1*sqrt(300) - sqrt(300)) + (1*(sqrt(300) + -2 + sqrt(300)) - sqrt(300)))*-1)**2 + 4.\nAnswer: 40*sqrt(3) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/7 (b) 3\/79 (c) 10 (d) 20725 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 834*l - 909.\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = 4*x + 60. Let q be 4\/6 - x\/9. List the prime factors of -2*(1 - q\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10428 divided by -4856.\nAnswer: 2607\/1214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from urukkkuukrurrrr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:45 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.722054 years in centuries?\nAnswer: 0.09722054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxywcvy. Give prob of picking 1 x and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -185, -147, -95, -23, 75, 205, 373?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/3*((-48)\/112)\/((-2)\/(-7)). Which is the nearest to -1? (a) 11 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-2\/5)*z**(-11)*z*z*z**6\/(z*z*z\/((z\/((z**(-1)\/z*z)\/z)*z)\/z)*z) assuming z is positive.\nAnswer: z**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*2)*6 + sqrt(132) + (sqrt(132)*2 + sqrt(132) - sqrt(132))*6)\/((sqrt(48)\/sqrt(4) + sqrt(12))*-5*-5).\nAnswer: 31*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 + -218. Let b = 106 + -102. Solve 3*j + 13 = c*h - h, h = b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 590482 and 36613.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*k + 4*k. Let b = k + 17. Calculate the smallest common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4002 (b) 0.02 (c) 1\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12390000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 2724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*g = -4286 + 6497 - 25377 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, t: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**3 + 2*q**2 + 6*q + 6. Let n(a) = 13*a**3 + 3*a**2 + 11*a + 11. Let u(b) = -11*j(b) + 6*n(b). Suppose o + o = 8. Calculate u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 352212*w - 2817504 = 0. Calculate w.\nAnswer: -117396, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/30 - 1509*o**2 - 3. Let m(l) = -2520*l. What is d(m(s))?\nAnswer: -12700800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20886064 to the nearest integer?\nAnswer: 4570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2610 and 366.\nAnswer: 159210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -17. Let m(x) = 5 + 4*x + 1 + u. Determine m(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 11\/6*c**3 + 0 - 234*c + 1\/2*c**2 - 11\/10*c**5 + 0*c**4 + 1\/6*c**6. What is the second derivative of g(u) wrt u?\nAnswer: 60*u**2 - 132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 2*c + 12*y, -117 = 3*c + 5*y - 50 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 1141121444?\nAnswer: -1141121441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 101816507?\nAnswer: -101816510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/6)\/(a**(-3\/2)*a)*a\/a**(1\/8)*a*a*a*a*a**(1\/3) assuming a is positive.\nAnswer: a**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 28*h - 101. Let u be -2*(h\/9 + 0)\/1. Which is smaller: -5.9 or u?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c - 5*c)*(-2*c + 1 - 1) - 5004 + 2505 - c + 89*c**2 + 2496.\nAnswer: 103*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m. Let c(j) = -615*j - 2. Calculate h(c(f)).\nAnswer: 1230*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 21222220000202?\nAnswer: 21222220001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 309*v**3 + 19251312*v**2 + 299848529697*v - 5822308806.\nAnswer: 3*(v + 31151)**2*(103*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, 2, -3, -1\/4, -1.9 in increasing order.\nAnswer: -4, -3, -1.9, -0.5, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-12)\/8*(-104860)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2373 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three halves of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103068 and 8?\nAnswer: 206136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1950 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 448 - 237. Let u = t + -127. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -40. Let a = w + -9. Suppose -2*h + h = -a. Solve -5 = -0*q + q + 2*m, q - 10 = h*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h - 14. Let s(u) = 15*u - 25. Let f(q) = -13*q + 25. Let t(l) = -3*f(l) - 2*s(l). Let n(o) = 11*g(o) - 6*t(o). Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**8))\/k*k*k\/((k**(-1\/5)*k)\/k)*k**(-1\/7)*k\/(k*((k**7\/k)\/k)\/k)*k**(-5)\/((k\/(k**(-2\/9)*k))\/k)*(k*k*k\/k**(-6)*k)\/(k**(-3)*k) assuming k is positive.\nAnswer: k**(-997\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1718, -2062, -2636, -3440, -4474, -5738?\nAnswer: -7232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -33, -1\/3, -9, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 7:06 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 10. What is the remainder when 12 is divided by 19\/3 + s\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in 2\/5, 0, 4938, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 6*b**2 - b. Let c be v(-6). Let f(s) = 8*s + 5. Let t(l) = -7*l - 4. Give c*f(n) + 7*t(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 15. Let z = d + 19. Solve -3*o = q - 9, -q + 5*q = o + z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14189 and 6247214?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 249079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36021 + 1b?\nAnswer: -36005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -1. Let t = 0 - 0.5. Let l = t + 0.3. Which is greater: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:03 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i - 2. Let k be (-1)\/(-3) + (-5)\/(-3). Suppose 3*d - 5 = k*d. Let a be c(d). Solve -8 = a*l - 7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -756\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 - 258*y - 15*y**3 + 15*y**4 + 258*y - 5*y**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -321 + -1?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 47*i - 268. Does 17 divide m(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 1 n when three letters picked without replacement from oooovoookvonovvoo?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700070?\nAnswer: 2, 5, 7, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*1155\/180*(-48)\/(-66)\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**0*w*w*w**(-5\/6))\/((((w**(3\/5)\/w)\/w)\/w)\/w**(-2)))**17)**(-29) assuming w is positive.\nAnswer: w**(-23171\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 9*x**2 + 9*x + 6. Let s be i(8). Let b = s + -13. Does b = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453718289 to the power of 1\/3, to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3234 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21a6 (base 13) to base 4\nAnswer: 1021123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = -0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpcu when four letters picked without replacement from iiippiigpgpciiipucpp?\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1194*l + 49. Let v be g(-2). Let k = 578 - v. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -63. Let x be (-780)\/(-26) - 0\/(t\/(-2)). Calculate the greatest common divisor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 47960\/(-408)) + 4\/34. Which is smaller: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1518 and 127\/714?\nAnswer: 180642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 4, -10, -2\/7, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*k + 55, -4*h = 5*k - 6*h - 49. Solve -z + 17 = 3*r, -2*z + k = -z + r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*y**2 + 35*y**2 - 1.\nAnswer: 37*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6401*g + 7473*g - 1566*g + 554*g in the form c + b*g and give b.\nAnswer: 12862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 15 + 20. Let s = -4 + 6. What is the remainder when j is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*l + x, 5*x + 24 = -l - 4. Let m be (1\/2)\/(l\/(-162)). Suppose 3*f = 4*k + m, 3*f + 8*k = 5*k + 48. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840852520 divided by -210213130.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**(2\/73)*h*h))\/(h\/(h\/h**(-26)*h)) assuming h is positive.\nAnswer: h**(1896\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11200263 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57599.61 millilitres?\nAnswer: 57.59961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 23, 5966, -4 in increasing order.\nAnswer: -4, 3, 4, 23, 5966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 264?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, -139947, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 10. Let u be (0 - (-1 + 1))\/2. Suppose 15 = 5*g - u*g. Solve -m = -g*c + c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8538, -8450, -8298, -8070, -7754, -7338, -6810?\n\"Answer: 2*m**3 + 20*m**2 + 14*m - 8574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*v + 57*v + 1. Let q = -0.633 - -0.633. Which is the fourth smallest value? (a) v (b) q (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 2*s - 5. Calculate i(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/266744061 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-245)\/280)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7921872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 12) to base 5\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 0.5, -14, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3832862 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*b + 43*b + 2448 = 65*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 + -297 + -6 + 84?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(44) + -2*(sqrt(275))**2.\nAnswer: -552 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 229 - 184. Let q = 61.6 - v. Round q to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40.6*-38\nAnswer: 1542.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 12.9. Let y = 30.68 + 0.32. Let p = 31.06 - y. Which is the nearest to q? (a) p (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*h = -6*u + 75, 0 = -4*u - 2*h + 110. Suppose 4*k = 87 + u. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4733 - 0.2267. What is the fourth smallest value in -2\/7, k, -2.4, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-20))\/(12\/10). Let j = 1505\/292 - 358\/73. Which is the nearest to 0.1? (a) z (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 7*s**2 + 6*s - 116. Determine a(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + -9 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + a)*(-115*a + 211*a - 61 - 97*a).\nAnswer: -a**2 - 61*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Suppose 0*h - 2*h = -2*f + 6, h = a. Suppose f*n + 0*n = -5*k + 15, 5*n + 4*k = 21. Solve -n*i - 26 = -1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 132.84558 and -0.1.\nAnswer: -13.284558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 349 and 0.03.\nAnswer: 10.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2. Let p(u) = -u**2 - 1. Suppose -126*y + 72 = -90*y. Give y*p(f) + q(f).\nAnswer: -7*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, -2\/37, -59, 0.4 in descending order.\nAnswer: 5, 0.4, -2\/37, -0.1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -0.42 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = -2*z, -3*z = -2*g - 1 - 6. Let x(b) = 6*b + 7. Let t(l) = -6*l - 6. Suppose 301*w + 277*w + 434 = 3324. Determine g*x(s) + w*t(s).\nAnswer: -6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91610 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 47 + -15 + -28?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 20*n**3 - 3*n**2 + 171*n - 341. Determine c(2).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - 6. Suppose -5*q + 3*q + 5*x = -20, 0 = 3*q + j*x + 16. Suppose 5*k + 5*g = 25, -5*k + q = g - 13. Solve -k*a - 8 = -0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 4*u**2 + u**2 + (0*u - 11*u + 3*u)*(6*u - u - 2*u).\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2112)\/(-24))\/616)\/((-4)\/3920*-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1621.3 or 83?\nAnswer: -1621.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -35*t + 708. Let b be a(20). Let h = 72 + -102. Does 24 divide (-8 + b\/2)*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 210?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330265024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -19672, 1, 0, -5, -12, -2 in increasing order.\nAnswer: -19672, -12, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7680502099.\nAnswer: 2293, 3349543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -65. Let l be (-1)\/(-4) - (-595)\/(-28). Let k = i + l. What is the highest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eetxiciaaxctiteaitxc. What is prob of picking 1 x and 1 i?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**3 - 125*h**2 + 28*h + 103. Let f be q(31). Let l = 0 - -1. Sort 3, f, 4, l in decreasing order.\nAnswer: f, 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 - 15*r**4 - 63*r**3 - 81*r**2.\nAnswer: -r**2*(r + 3)**2*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6566938.8 and -5?\nAnswer: 32834694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144477*r + 342*r**3 + 2945*r**3 + 6*r**2 + 9 + 144477*r + 1147*r**3 wrt r?\nAnswer: 26604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -9230227.\nAnswer: -9230221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -14\/5 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v = -3*v - 1368 - 816. Let f = -32 + 77. What is the remainder when v is divided by f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-3 - 7 - 1)*(2*d + d - 2*d) + (2 - 5 + 2)*(-1 + 1 + 2*d) + 2 - 2 - d + 0*d + 3*d - 2*d - 15*d - 9*d - 15*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -47727878950873 - -4\nAnswer: -47727878950869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 31*a - 3. Suppose -z + 5*g - 14 = -0*z, 0 = z - 2*g + 14. Let q = z + 17. What are the prime factors of k(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2457961*i**3*j**3 - 10*i**3*j**2 - 1198*i**3 + 77*i**2 - 2*j**5 wrt j.\nAnswer: -14747766*i**3 - 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1902*u - 1900*u + 3803*u. Let k(x) be the second derivative of -4*x**4\/3 + 2*x. Determine k(m(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 86 - 24 = 0. Suppose -19*q = -6*q - 39. Solve q*y - x - 10 = -0, -5*y - x + r = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.05 - 23.05. What is the biggest value in 0.3, 9, -2, j, -2\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*6\/72*-2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let p = -28704 - -26348.2. Round p to the nearest 10.\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1239 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7959 and 10612.\nAnswer: 31836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 - 1175*p**4 + 344487*p**3 + 440919*p**2 - 27910008*p - 28005264 = 0. What is p?\nAnswer: -9, -1, 9, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 2*n**2 + n + 9. Let c be t(-3). What is the third smallest value in -1, c, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*m = 3*f + 497, 4*m = -4*f + 1024. What are the prime factors of f?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103 + 33*i**3 - 5*i**3 - 8*i**3 - 9*i**3 - 13*i**3 to the form m*i**2 + x*i + g + d*i**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2768851*f - 5537702*f + f**3 + 2768851*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*o**3 - 20707*d*o**2 - 24*d*o + 2*o**3 - 12*o**2 + o - 2435 wrt o?\nAnswer: -6*d*o - 41414*d + 12*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9606.\nAnswer: 2, 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1889*u - 1900*u + 7*u**3 + 3789*u.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 4*m + 3*m)*(0*m**2 + m**2 + m**2) + (47 + 111 + 12)*(-7 + m**3 + 7).\nAnswer: 164*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113002 - 10111?\nAnswer: 102231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 0. Is 4\/f - 28\/(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*i + 9 - 89*i - 98*i.\nAnswer: 11*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 8685*d + 732888.\nAnswer: 3*(d - 2808)*(d - 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 38, -1 in ascending order.\nAnswer: -11, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/70*90\/(-12) - (-68)\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 16. Suppose 16*h = 12*h + 544. Let o = -76 + h. What is the greatest common divisor of n and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-6)*(-5 + 5\/(-2)). Let t = y - 24. Let l be 8\/(-12)*t*6\/8. Are -3.6 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -127, 5, -12, 4 in decreasing order.\nAnswer: 5, 4, 2, -12, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1642197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -243 and 0.1.\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -570*o**4*x**2 - 14201*o**4 + 143192*o**2 + 13*o*x**2 + 5*x**2 wrt o?\nAnswer: -13680*o*x**2 - 340824*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 150 + 1b3?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95 by -5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 850046?\nAnswer: -5\/850046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33.1 and 72.2?\nAnswer: -2389.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/1080*384 - (-3)\/15 - 60\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 87*u - 20*u - 67*u + u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3324.97 + 3325. Which is the nearest to -4\/5? (a) -0.5 (b) 5 (c) -5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 106\/525 and -2\/2625.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36 - 38)*(-2 + -3). Solve 0 = t*d - 111 + 101 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28332 + -87?\nAnswer: 28234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**4 + 1 + 342*d**2 + 349*d**2 + 14*d**3 - 1043*d**2 + 354*d**2 to t*d + k*d**3 + h + z*d**4 + i*d**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*n - 10, n + 3*r = -2*n - 12. Sort 5, n, 539 in descending order.\nAnswer: 539, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -70646*y**2. Let d(x) = -3*x. Give t(d(j)).\nAnswer: -635814*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 672.79993006 + -672.8. Round s to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53173263 to the power of 1\/2, to the nearest integer?\nAnswer: 7292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/48*-4*4\/10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100110 (base 2) in base 8?\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 38 = -17*w. Let g(d) = 2*d**2 - 5*d + 2. Determine g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 6*h + 3*h)*(-h + 4*h - 4*h)*(7424 - 7424 + 66*h**2).\nAnswer: 66*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*h + 7*h - 73 + 2079 for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2)*(-1 - -2). Suppose n*r = r + 203. Suppose 0 = -5*c + 33 - r. Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 33*b**4 - 14*b**4 - 20*b**4 + b to u*b**2 + p*b**4 + j*b**3 + k + o*b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 23*k + 17833*k**2 + 81 + 17832*k**2 - 35664*k**2. Determine g(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(70) - (sqrt(70) + sqrt(70) + sqrt(70)*2 + sqrt(70)))\/sqrt(10)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*p + 1)*(2 - 2 + 2*p)*(1 - 3 + 3)*(6*p**3 - 3*p**3 - p**3).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403136 is divided by 25195.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118003533 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041972280.\nAnswer: 2, 5, 26049307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1336958\/9, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) -0.1 (c) -0.2 (d) 57658 (e) 0 (f) 6\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d - 55. Let v = 25809 - 25818. Determine q(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3332 is divided by 625?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**3 - 5*p**2 + 7*p + 11. Let a(x) be the second derivative of -x**5\/5 + x**4\/3 - x**3 - 5*x**2 + 5*x. Let y(b) = -6*a(b) - 5*i(b). Give y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - 9) + 2\/(-12). Is p greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 189.83, 5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -121*a. Let q(t) = -198*t**2 + 48*t**2 + 157*t**2. Calculate m(q(g)).\nAnswer: -847*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 4, w: 3, q: 3}. What is prob of sequence qen?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = h - 0*p, 0 = -3*h + p + 6. Let u be (2 - h)\/(-1 - -2). What is the second derivative of -3*l + 2*l - 2*l**2 + u*l**2 wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43654783?\nAnswer: 37, 1179859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150351697.\nAnswer: 150351697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101101 + 1011010110?\nAnswer: 111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 36\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -853*i - 5314. What is the remainder when x(-7) is divided by 139?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 20*u**2 + 114*u + 2285. Give p(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose 6 = w + j, 3*w - 24 = i*j - 9*j. Let r(y) be the third derivative of y**5\/60 - y**4\/12 + y**3\/3 - 2*y**2. Calculate r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**4\/8 + 2*n**3 - 44*n**2. Let j be v(-2). What is the tens digit of (-508)\/(-3)*j\/(-24)*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 28*o - 79 = 29*o, -v - 91 = 5*o. Do v and 56 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 2)*(-2*r - 2*r + 3*r)*(5 - 5 - 12)*(2*r + 2*r**3 - 2*r).\nAnswer: -120*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 22.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(1\/16)\/u))\/u)**(1\/3)\/(u\/(u\/u**(2\/5)*u))**(4\/33))**(2\/43) assuming u is positive.\nAnswer: u**(137\/56760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -27?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.162710117 + -0.07\nAnswer: -0.232710117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -161*u**2 + 3*u + 1. Calculate m(1).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (3 - 5) - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/3 + 14*t**2\/3 + 34*t\/3 + 6 = 0. Calculate t.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/8 + -7)*1\/(14\/(-8)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 7*a - 1. Let o be m(-3). Suppose 0 = -o*n + 26 + 442. What is the tens digit of n\/4*(-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463 = -44*y + 155 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 53*l - 1. Let a(z) = -1387*z - 9712. Let p be a(-7). Let y(f) = 52*f - 1. What is p*y(r) + 4*x(r)?\nAnswer: 56*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykb when three letters picked without replacement from {y: 1, a: 1, b: 1, k: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2644*h**2 - 2645*h**2 + 7934*h**2 - 2649*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -539 - -563. Solve 31*f - 30*f - 4*r + 12 = 0, -2*f + d = 4*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 4 + 11202\/(-1866). Let s = i + -9945\/2177. Which is the third smallest value? (a) -2\/15 (b) s (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12734 times 4098?\nAnswer: 52183932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + (sqrt(2057) - (sqrt(2057) + 2)) - 2*sqrt(2057)*-2)**2.\nAnswer: -616*sqrt(17) + 32958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.834589923 to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11107 - 787*i - 11107)*(-2*i**4 - 2*i**4 + 0*i**4).\nAnswer: 3148*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 24*w + 45 = 0. Let o(z) = -2*z - 7*z + w*z + 1 + 3*z**2. What is o(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -41, 0.3, -4, -443?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1593692.45 rounded to the nearest 100?\nAnswer: -1593700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1467*z + 1838*z - 2233*z)*(-3 - 7*z + 3)*(2 + 0 - 3) to the form w*z + m*z**2 + h and give m.\nAnswer: 7504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18325216727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Solve j = 9*i - 4*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -1486?\nAnswer: -1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwini. Give prob of sequence iuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 + (13 + (9 - 19) - -14)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23930776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3 - n**2 - 2 - 3 + n. Let y be k(14). Let u = y - -286. Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41979\/10 + -4191. Find the common denominator of -23\/7 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let g(q) = 9*q**2 - 8*q - 8. Let s(z) = -3*z**2 + 3*z + 3. Let o(d) = -3*g(d) - 8*s(d). What is p(o(j))?\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4212 and -5\/117?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12487660 and -0.3.\nAnswer: 3746298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**5\/30 - x**4\/4 + 9*x**2. What is the second derivative of d(i) wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -26*t**2 + 136*t + 549. Give k(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2572.1112 months to decades.\nAnswer: 21.43426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1557, 2053, 2885, 4053?\n\"Answer: 168*l**2 - 8*l + 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/6862730 and 22\/2491125.\nAnswer: 6691161750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7502911.999868 - -7502833. Let b = -0.098 - 78.902. Let u = h - b. What is u rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 893974, 1787886, 2681798?\n\"Answer: 893912*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 19*u - 42*u + 2*u**2 + 21*u. Let p = 2 - 0. Give f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79201232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 109*c - 6586. Let m(v) = -3*v - 21. What is x(m(o))?\nAnswer: -327*o - 8875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from anqqnabnssnqsgg.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*(-9 - 209\/(-33)). Let k = 0 + 4. Suppose k = -c - 1. Which is greater: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1496\/(-55))\/(-17)*(-17395)\/497?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -510\/4907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-12))\/(1\/(-4)). Suppose -8*k - 126 = 994. Let c be (-18)\/48 + k\/(-32). Let o(b) = -3*b**2 - 6*b + 2. Let m(p) = p**2 + p - 1. Give c*m(f) + r*o(f).\nAnswer: f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 11. Let f be ((-6)\/s)\/(2\/15). Which is the biggest value? (a) 0.5 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-36)*f**(15\/2)\/f*f assuming f is positive.\nAnswer: f**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - 7432\/6)*132\/(-10). Calculate the greatest common divisor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/(2501\/82)*42\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-767)\/(-41064)*16*(-6)\/(-26).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + u + 15\/2.\nAnswer: -(u - 5)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(176))**2 + (sqrt(396)*2 + -3)**2.\nAnswer: -72*sqrt(11) + 12857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (26 - 44)*(-2)\/(-4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 12}. Give prob of sequence rcrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062 divided by -18?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w = -4*j - 134, -66 = 2*j - 2*w. Let p = 41 + j. Let k(r) = -p + 2*r + 5 + 0. What is k(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -274\/13*m + 2\/13*m**2 + 0 = 0.\nAnswer: 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127161153 is divided by 5607.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 444852, 1779395, 4003626, 7117545, 11121152?\n\"Answer: 444844*q**2 + 11*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18)\/(((-56)\/(-7))\/(-16))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.39995 or -542.8?\nAnswer: 0.39995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -8*t + 488 - 472, 0 = -5*q - 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(-5)\/30*-16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.008? (a) 0 (b) 0.12 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -2, -3\/2, 5, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 85, 90, 99, 112?\n\"Answer: 2*s**2 - s + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*j - 67*j + 30*j - 247 - 346 + 126 in the form l*j + o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 10 = -2*k, -3*k + 2*k - 5 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.06 or -4360?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77*a**4*s - a**2 + 1013*s wrt a?\nAnswer: -308*a**3*s - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 + 116. Let o(z) = m - 8*z**2 + 2*z**2 + 11*z + z**3 - 4 - 6*z**2. Determine o(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 105 - 3*v - 105. Let t be (-3)\/1*(-78)\/18. Let n(y) = 197*y - 197*y + t*y**2. Determine n(f(s)).\nAnswer: 117*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 478\/(-10)*(-13125)\/22400?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 1)*(-3*a + 0*a + 4*a) + 1 - 1 + a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1053 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38\/5 - 332\/45. Which is the nearest to -1? (a) r (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -676*x**5\/7 - 492934*x**4\/7 - 89661394*x**3\/7 + 72832834*x**2\/7 + 16789270*x\/7 + 532900\/7 = 0.\nAnswer: -365, -2\/13, -1\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3593\/10797 + 2\/3599. Let c(o) = -3*o. Let l be c(-4). Suppose 36 + l = -4*v. Is z at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4280, -8384, -12352, -16190, -19904, -23500, -26984, -30362?\nAnswer: -33640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28175 + 100739. Round s to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 618 = 16*m. Find the common denominator of 27 - 22 - m\/4 and 109\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -11 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-4 - (10 + -7)) + 1 + -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**4 + 151*z**3 - 258*z**2 + z + 3. Let q(v) = -v**4 + 2*v**3 + v**2 + 1. Let o(d) = -3*q(d) + u(d). Find the third derivative of o(f) wrt f.\nAnswer: -96*f + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0108 - -41.5892. Let b = l + -44. Round b to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Let p = 43 - 15. Suppose -2*n = b*n - p. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(18) + sqrt(108)\/sqrt(6) + sqrt(18) + sqrt(18))\/sqrt(9)) + sqrt(24)\/sqrt(12) + -5 + (2*5*-5*sqrt(6)\/sqrt(3))**2)*-6.\nAnswer: -29970 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - 1)*(-6)\/(-6). Let a = -4 - g. Find p such that 4 + 11*p**a - p**2 + 2*p**2 - 7 - 9*p = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23533305 times -11?\nAnswer: -258866355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s = -175. Let r = s - 7. Let d = r - 32. Which is the nearest to d? (a) 2 (b) 0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -74. Solve -4*x - 16 = 4*c, 0 = x - f*x - 2*c - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {j: 2, d: 2, f: 1, u: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1673769458 to the nearest integer?\nAnswer: 40912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*o - 30*o + 145*o - 16*o - 9*o - 11*o - 8*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*s - 3, -486*s + 489*s = 4*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 1310024?\nAnswer: 1310024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 47. Let f be (-26)\/(-6) - (c + 11 + -3). Suppose -4*z - 3*i - 12 = 0, -z = i + 5 - 1. Is z equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -15 - (176 + -155).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3)\/(24518\/(-4903) + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90566 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -13*x**2\/2 + 355. Let s(v) = 2*v + 62. Determine s(d(l)).\nAnswer: -26*l + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*g + 4. Let x be -1 + 2 + 1 + g. What is the remainder when 2\/4 - (-162)\/x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 86423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 4. Let b be 1*(0 + h)*14. Let n(i) = 6*i + 50. Let r be n(-11). Is b >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11 at least 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 + 115.3. Let v = o + -7. Let i = v + 0. Is 1\/2 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85.20346l?\nAnswer: 85203.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 take away -509061101?\nAnswer: 509060725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17478090 to the power of 1\/2, to the nearest integer?\nAnswer: 4181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9420225 and 29670?\nAnswer: 18840450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 1989, 4814, 8771, 13866, 20105, 27494, 36039?\nAnswer: 45746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 2 + 10*k**2 - 13*k**2 - k - 4*k + 4*k**2 in the form t + g*k**2 + p*k**3 + z*k and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, 2\/7, -3, 36?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = 5*o. Let d be o*(-3)\/6 + 43. Suppose -m + 3*m - 4*w = d, -2*m + 3*w = -39. Solve -m = -0*q - 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2, 0, -5, 4 in increasing order.\nAnswer: -5, -2, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 424200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 7, 17 in ascending order.\nAnswer: 7, 17, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/(-9)*17\/(1224\/54)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -248, -219, -190, -161?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 0*b**3 + b - b**2 + 6*b**2 - b**3. Calculate the remainder when r(4) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2137*c - 7641. What is the units digit of d(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74.68918 - -0.41118. Round v to one decimal place.\nAnswer: -74.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + ((sqrt(3) - (-1 + sqrt(243))) + (-2 + sqrt(3))*-3)**2)*1.\nAnswer: -154*sqrt(3) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 9?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 504370?\nAnswer: -3\/504370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1)\/(4\/(-12)). Suppose 0 = -5*d - 4*s + 12, 9 + 0 = u*d + 3*s. Suppose d*o = 4*o + 2*w - 398, 4*w - 408 = -4*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**4\/24 + 149*t**3\/6 + 4*t**2. Is h(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20)\/(46\/(-184))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2123 + 6056. What are the prime factors of i?\nAnswer: 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3864 rounded to 2 decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 3*m + 45. Suppose m*j = 5*j + 48. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-156))\/(2055\/3288).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14)*21\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -713 + 1330. What are the prime factors of r?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312202 (base 4) in base 14?\nAnswer: 2a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Let o be c(4). Solve -o + 4 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32114 (base 12) to base 7\nAnswer: 362623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/54 - (-496)\/18. Suppose q*u = 40*u. Suppose 5\/4*t - 5\/4*t**2 + u = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1548, -3073, -4580, -6069, -7540, -8993, -10428?\nAnswer: -11845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 436 = -5*l - 7*n, n + 175 = -2*l. Suppose 5*b = -5*v - 755, 0 = -5*b + 3*v - 5*v - 743. Let g = l - b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 - -271. Let m be 10\/(-2 + 15\/6). Suppose -2*z = -z + q*f - 28, 0 = -4*f - m. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 697\/(-615) - (-2)\/15. What is the closest to c in 120, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -35653063?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - (1 + -5)) + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3020 and 16.\nAnswer: 12080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 5*v - 5*o - 444, 2*v - 2*o - 156 = 0. What is the remainder when 3107 is divided by v?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 2\/79 (c) -7 (d) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*l + 3 = -3*l, -q = 5*l - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/154 and (-13 - 13273\/(-754))*2\/(-42)?\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 455 = -58*l. Let r(v) be the third derivative of l*v**2 + 0 + 0*v + v**3 - 1\/2*v**4. Find the first derivative of r(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68821.1 minus 0.5?\nAnswer: 68820.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znnz when four letters picked without replacement from nznnz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 164*m + 2259. Give h(41).\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:04 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100579905*q**4 - 140922390*q**2?\nAnswer: -2413917720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 910595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(72) - (-5 + sqrt(72)))**2 - -2*(sqrt(2) + 5 + -2)).\nAnswer: 2*sqrt(2) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 187178.8mg in nanograms?\nAnswer: 187178800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4494.2902 + 4490.4. What is t rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 3*p. Let g = 11 + -15. Let y be v(g). Suppose -48 = -y*t + 12. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 10. Let h(u) = u + 7. Let m be h(i). Solve m = -4*f + f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -749619?\nAnswer: -67465.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303 + 0?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*((q**(-1\/10)*q)\/q)\/q)\/(q**(-6)\/q*q**2) assuming q is positive.\nAnswer: q**(79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 57 + 0 + 20*l**3 + 8*l - 57 - 27*l + 76*l**3.\nAnswer: 96*l**3 - 19*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/2 + 352*l - 36897\/2 = 0.\nAnswer: -753, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 3:17 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 56*o + 299. What is the remainder when g(29) is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyy. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -9\/2, 5, -2617?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18298594 and 13166.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 + 930*s**3 - 90507*s**2 + 2138220*s + 61387200 = 0 for s.\nAnswer: -16, 105, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*k - 2*d, 0 = 2*k + 3*d + d - 22. Let c = 1 + -6. Let g = k + c. Let y(t) = t**3 + t - 6. Calculate y(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 9*n - 17. Let i(q) = -4*q + 8. Let c(m) = 3*a(m) + 7*i(m). Is c(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 5*f - 31, f = i - 7. Solve -i*s + 12 = -2*j, -j + 5*s - 1 = 14 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/220, -1\/4, 1\/26 in ascending order.\nAnswer: -1\/4, -1\/220, 1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53356.1l in millilitres?\nAnswer: 53356100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5586*j**5 + 4*j**4 + 44*j**3 + 67973*j**2 - 2947*j?\nAnswer: 335160*j**2 + 96*j + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -18. Let n = -5 + d. Suppose 0 = -0*z + n*z. Solve -3*v - 2*s = 11, v + s - 2*s - 3 = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355 - 0.058706274.\nAnswer: -355.058706274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -73.543 and -0.87338.\nAnswer: -74.41638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: a41 (base 13) to base 6\nAnswer: 12023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2\/4 - 2112585*d\/4 - 2112575\/2.\nAnswer: -5*(d + 2)*(d + 422515)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2439058775 to 4 dps.\nAnswer: -3.2439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.703 rounded to 1 decimal place?\nAnswer: 29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2382266, -9529067, -21440400, -38116265, -59556662?\n\"Answer: -2382266*c**2 - 3*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, l: 1, t: 2, m: 1}. What is prob of picking 2 h and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/29 - 129\/232. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(2\/3)\/i*i)*i)**(-44))**12\/((i\/(i\/i**3)*i\/(i*i\/(i\/i**(-1))))\/(i*i\/(i**4*i)*i*i*(i*i\/(i*(i*i**(-4))\/i))\/i)) assuming i is positive.\nAnswer: i**(-705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 + i + 14. Let f(p) = -141*p - 6. Determine f(y(k)).\nAnswer: 423*k**2 - 141*k - 1980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 2, s: 1, c: 1}. Give prob of sequence rf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 4. Let i(s) = 2*s**2 + 3. Let h(d) = -4*i(d) - 3*z(d). Let x(t) = 2*t**2 + 50*t. Calculate h(x(m)).\nAnswer: -8*m**4 - 400*m**3 - 5000*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)*k)\/k)**(1\/10)*k**(-1\/7)*(k**15\/k*k)\/k assuming k is positive.\nAnswer: k**(464\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 641?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25286602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 125\/20)*3\/15. Put 1, l, -3 in ascending order.\nAnswer: -3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2955, -5916, -8879, -11844, -14811?\n\"Answer: -z**2 - 2958*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37031, -148124, -333279, -592496, -925775, -1333116?\nAnswer: -1814519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(-25)\/4*1977948\/(-3885255)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1062230\/19 greater than or equal to -55908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 124404343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2086 * -1\nAnswer: -0.2086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1553, -3114, -4677, -6242, -7809?\n\"Answer: -j**2 - 1558*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*u - 2695 - 7471 = 323*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.29979mm to centimeters.\nAnswer: 5.929979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -637*r**2 - 338692 + 338693 - 446*r**2 to the form c*r**2 + x*r + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**6\/30 - 11*x**5\/15 - 70*x**4\/3 - 152*x**3 + 508*x**2 - 5. Let h(a) = 0. Calculate a.\nAnswer: -6, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2. Let v(t) = -623579*t. Determine f(v(z)).\nAnswer: -1166552307723*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0061 (b) -4\/13 (c) -0.4 (d) -7 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -6.87.\nAnswer: -1.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141 + 141 - 79*x**4 - 1455*x**4)*(-7 + 0 - 12).\nAnswer: 29146*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/4 + -3\/8. What is the fourth biggest value in 4, 0, o, 4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1428374 by 8.\nAnswer: -714187\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2144.3906 or 2\/5?\nAnswer: -2144.3906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 27 - 9503*r - 31 - 19 in the form f*r + w and give f.\nAnswer: -9503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1201, 4804, 10805, 19204, 30001, 43196?\nAnswer: 58789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -346232162 - 3?\nAnswer: -346232165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -7*h**2 - 5*h + 77 + 34 + 26*h**4 + 3*h + 0*h**2. What is the second derivative of s(g) wrt g?\nAnswer: 624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 12*b**2 + 26*b + 66. Calculate the lowest common multiple of 240 and i(-9).\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(15)\/(3*sqrt(3)))**2.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**3*d*y**2 - 3*c**3*d*y - 3*c**3*x*y - c**2*d + 2*c*d*x + 3*c*x*y**2 wrt c?\nAnswer: -24*d*y**2 - 18*d*y - 18*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 4*m + 1 = -8*m, 2*l = 4*m + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*z + 0*z = 3*z - 24, 0 = -37*z + 41*z - 8 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-1)\/sqrt(6) + (sqrt(11) + sqrt(55)\/sqrt(20) + sqrt(11) - sqrt(11)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (sqrt(288) + -1 + 1 - sqrt(288))) + sqrt(288)*-1 + -5 + sqrt(288))*6)**2*-1.\nAnswer: -11268 + 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p + 428*p + 2572 = 7580 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 31*q + 31. Calculate k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 11*d + 12. What are the prime factors of k(-16)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219356 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p + 5. Let g be b(5). Let q = 32 - g. Solve -5*m = 3*z - 7, m - q*m = -2*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4012 - 3532. Sort 3, 5, c in descending order.\nAnswer: c, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1555*j - 444738. Calculate f(-286).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1295442, 2590930, 3886462, 5182038?\nAnswer: 6477658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -1 (c) -2\/39 (d) 5\/2 (e) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 6, i: 4}. What is prob of picking 3 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*r + 5, 5*r - 37 = -0*p - 4*p. Suppose 9 = b + q, -p*b - 5*q + 31 = -q. Suppose 4*o - 216 = -b*l, 21 = 3*l - 4*o - 115. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**6\/10 - c**4\/2 + 3*c**2\/2 - 3*c - 1. Let m(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 126 = y + 5*g, 424 = 4*y - 4*g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 892, 905, 932, 979, 1052, 1157, 1300, 1487?\nAnswer: 1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -2 - (3 - 22). Suppose -4*n + z = -2*n. Solve 2*q = 4*d - n, d + 0 = -4*q - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -99431\nAnswer: -4\/99431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (1 + -2) - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 2:32 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00215844 to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 10 - 5 = 15 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 + 2*d**2 + 2 + 0*d**2)*(4*d**2 + d**2 - 3*d**2) in the form f*d**2 + t*d**3 + i*d**4 + q*d + l and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.24 + -4.24. What is the nearest to -2 in a, 1, -0.3, -0.07?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**2\/2 + 17*q + 1736. Calculate o(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11 = -o - 4, -b + o + 10 = 0. Let w(z) = z**3 - 4*z**2 - 3*z - 5. Let t be w(b). Suppose t*p = 7 + 13. Solve 0 = p*x - 5*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.629 rounded to one dp?\nAnswer: 176.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1173195 and 157\/48546?\nAnswer: 7039170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8058166.\nAnswer: 2, 19, 212057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56965*a**3 - 7674*a**3 + 9920*a**3 - 65222*a**3.\nAnswer: -119941*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3456, -3432, -3408, -3384?\n\"Answer: 24*c - 3480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31758 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1229, 2456, 3683, 4910?\nAnswer: 6137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.911199 tonnes in milligrams?\nAnswer: 5911199000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1898488 to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395488 is divided by 226?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4200.\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 12 = 0, -2*z - 16 = 5*v + 3*z + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 - 7218 + 7218.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 1. Let m be t(2). Suppose -3*b + 6 = 2*l - 5, -2*b + 5*l = -m. Suppose 2*w = -5*n + 95, 6*w - 120 = b*w - 3*n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 36*h**3 + 293*h**2 - 42*h - 419. What is d(-8)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 4*r + 2*r**4 - r**3 - 23*r + 13*r to the form s*r**3 + i*r**2 + y*r**4 + b*r + v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 46. Let z be -4 + 2 + (-3)\/p. Are 1\/5 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 531423801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j = 35. Suppose u - 479 = -4*a, 4*a - 475 = 2*u - j*u. Suppose 0 = 19*x - 23*x + a. Solve y = -3*n + 14, 0*n + 5*n + 3*y - x = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3 + 688352*l**2 - 17896645*l + 116327094 = 0.\nAnswer: 13, 688326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7158 and 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-400))\/(14\/560).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182*c**5 - c**2 - 15 wrt c.\nAnswer: -10920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*y - 3 = -27, 0 = 4*g - y - 9. Let i be 2 - 1 - g*-1. Suppose 1 = -q - 4*u, -4*u - i - 6 = 0. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*s + 12, 22 = -5*x + 3*s - 0*s. Let i be 4\/8 - 3\/x. Factor -2\/3*n**i + 2\/3*n + 2\/3 - 2\/3*n**3.\nAnswer: -2*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 961560, 1923134, 2884708, 3846282, 4807856, 5769430?\nAnswer: 6731004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17982032 rounded to the nearest 100000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6544 and 38\/409.\nAnswer: 6544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaajjjajaaaaaajajaa?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfccahffbabc. What is prob of sequence fcf?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -56. Calculate the least common multiple of u and 104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 32*b**2 + 10*b - 13. Let k(l) = 11*l**2 - 3*l + 4. Give -7*k(d) - 2*s(d).\nAnswer: -2*d**3 - 13*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 4*q**2 + 4*q - 4. Give o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1379*x**5 + 5*x**2 + x**2 - 5*x**2 + 131*x**5 + 27 wrt x?\nAnswer: -74880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l - 4. Let k(r) = -3*r**2. Determine w(k(m)).\nAnswer: -51*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/((-1008)\/40))\/(10\/(-12)). Let a = 0 + -0.3. Put h, a, 0 in descending order.\nAnswer: h, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18504763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(2\/3)\/v*v)\/v*v*v*v)**(2\/73)\/(v**1)**(-2) assuming v is positive.\nAnswer: v**(466\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-52))\/(-4*(-3)\/(-6))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 2. Let b = q + -23. Is (3 + 34)\/(b*(-1)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4608914 and -8764.7.\nAnswer: 4600149.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3113751 kilograms?\nAnswer: 311375100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4772, 5, -18, -69, -2, -1 in descending order.\nAnswer: 5, -1, -2, -18, -69, -4772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 653 or 652?\nAnswer: 653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*l + 4 = -0*u, -2*u + 4*l + 4 = 0. Suppose -9*b + 17*b - 18456 = u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 3.05. Suppose 2*b + 28 = -5*b. What is the nearest to k in -2\/13, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 times -2.348?\nAnswer: -3298.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/15 + 10*i**4\/9 - 14*i**3\/9 - 13*i**2. Find f such that p(f) = 0.\nAnswer: -7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-7 - 0 - -8). Let x be 3\/6 - 27\/(-2). Suppose -3*t - 6 = h - t, i = -h + 2*t + x. Solve 0 = -p + 3*p - h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7624 = -586*f + 3*r, -9*f + 17*f + 41 = 11*f - r for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f + 17. Let x = 94 - 89. Suppose -35 = -z + 3*y, -7*z + 106 = -x*z + 3*y. What is the remainder when z is divided by t(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0431*-0.36\nAnswer: 0.015516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 37494666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1 - 17 = 0, 18*j + 21*j + 2*j + 105 = -2*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 42414*x**3 + 476739549*x**2 + 572646258900*x + 182286451822500.\nAnswer: (x + 657)**2*(x + 20550)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 9*i**2 - 6*i - 12. Let f be k(8). Solve 5 = 5*z + f*q + q, -z + 5*q = -19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 451 or 452?\nAnswer: 452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5876.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0036 + -0.0104. What is the closest to 2 in 5, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*n + 3 = f, -f - n = -14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 3*l**4 + 55 + 4*l + 3*l**4 + 7*l**4 - 56 + 2*l**2 - 7*l**4 as c*l**3 + m*l + r*l**4 + y + j*l**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 95?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266 - -190. Let q = j - -234. Suppose 3*b + n = q, 4*n = 1 - 17. Calculate the remainder when b is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = f + 4*q - 54, -2*q - 270 = -5*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-374 - (-22)\/(-132)*(-9)\/2). Do f and 373 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*t + 1 - 1 + 83*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 8. Let m be (-25)\/(-15) - 4\/q. Put m, -4, 4 in decreasing order.\nAnswer: 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -5*v + 26, 0 = 6*j - 3*v - 134 + 67 + 76 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 4*k + 3*k**3 - 10 - k**3 in the form c + b*k + j*k**2 + o*k**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25982 + 0.2.\nAnswer: -25981.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(60\/25))\/((-193)\/2316).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 2. Let k(o) = -o**2 - 2. Let g(u) = -2*k(u) - 3*y(u). What is g(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.5 (b) -3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + f - 6*f + (-1 + 3 - 3)*(1 + 2*f - 1) - f + 2 - 2 + f - 1 + 1 + 7 - 232*f - 9 - 33*f as y*f + l and give y.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112691.\nAnswer: 112691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * -0.065341\nAnswer: 0.1241479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 637804809 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 241188269 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4012 (base 9) to base 3\nAnswer: -11000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/24)\/((-322)\/(-92))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187711 = 2358*i + 3287 for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibtz when four letters picked without replacement from {z: 6, i: 1, t: 1, m: 1, j: 3, b: 5}.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -1 + 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0*g - g)*(-21*g + 2*g - 3*g)*(5*g**2 + 0 + 0).\nAnswer: 110*g**4 + 220*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-376)\/9306*(-18)\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4000, -32208, -108848, -258136, -504288, -871520?\n\"Answer: -4036*h**3 + 44*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 2*k - 4 + 5 + 2*k - 4 + 4 + (5*k - 4*k - 3*k)*(4 - 4 - 1).\nAnswer: 6*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2456639 is divided by 480?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 17 (b) 0.2 (c) 20\/647\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9117 - 72935\/8. Determine f, given that n*f**2 + 2 + f = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:08 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 13\/(65\/90)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**20)*d\/(d**(-2\/27)*d) assuming d is positive.\nAnswer: d**(-538\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8793164447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 21463070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -427*z**5\/20 + 659*z**4\/12 - z**2 - 7*z + 32. Find the third derivative of l(u) wrt u.\nAnswer: -2562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -837 or 464923?\nAnswer: 464923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732163853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**4 - 158335*a**3 - 1128386*a**2 wrt a.\nAnswer: -144*a - 950010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence een when three letters picked without replacement from nseeeessesesese?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 5, o: 2}. Give prob of sequence wo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 805, 1207, 1607, 2005, 2401, 2795?\nAnswer: 3187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-13)\/y*y**(2\/45)*((y*y*y**(1\/5))\/y)\/(y\/y**(-4\/11)) assuming y is positive.\nAnswer: y**(-6989\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835*w - 597*w + 519*w + 834*w.\nAnswer: 1591*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/15 - (-1)\/3. Let o be (2\/6)\/(20\/45). Put -0.5, x, o in descending order.\nAnswer: o, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 347*v**2 - 78 - 687*v**2 + 339*v**2. Let n(l) = -7*l + 1. Determine n(d(g)).\nAnswer: 14*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = 653 - 689 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2403003\/1534 - -3133\/2. Is 1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -23978*o + 143778. Determine u(6).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 6*x)*(-x**3 - 4*x**3 + 3*x**3) + 130*x**4 + 161*x**4 - 234*x**4.\nAnswer: 61*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*v**2 - 58*v**3 - 271*v**2 + 115*v**2.\nAnswer: -58*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14312 (base 10) to base 2.\nAnswer: -11011111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1748 divided by -874.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2661 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -87a (base 11) to base 15\nAnswer: -4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*h + 2345 = 61*h. Let t = -284 + h. List the prime factors of t.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a**2 - 4*a + 12. Let d be r(5). Suppose -30 + l**2 + 5*l**3 + 67*l + 9*l**2 - d*l = 0. Calculate l.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*a + 12 = -0*n, -32 = 4*n + 4*a. Let j(u) be the first derivative of u**3\/3 + 7*u**2\/2 - 7*u + 1. What is j(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 21. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44553 + 10959 + 11677 - 5*g**3 + 10950 + 10967.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 3}. What is prob of sequence zc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from luw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/6)*c)\/(c\/(c*c**(-5)*c))*(c\/((c**(-1)*c)\/c))\/((c\/c**(-1\/4))\/c*c))**(-10\/17) assuming c is positive.\nAnswer: c**(65\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242336.\nAnswer: 2, 3, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/3 (b) 0.3 (c) 220 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*a - 19617 = -8744 for a.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 5*f + 167, 3*d - 5313083*f + 5313087*f = -0*d - 239 for d.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -3*d + 25\/7*d**3 + 176 - 3\/7*d**4 + 33\/7*d**2. Let x(u) = 0. What is u?\nAnswer: -1, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 22*g + 68. Let z be (22\/10 + g)\/(49\/245). Sort -1, -18, z in decreasing order.\nAnswer: z, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 140*z - 1132. What is p(131)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 62.\nAnswer: -7, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -1, -2 in ascending order.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14015616?\nAnswer: 2, 3, 17, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 844610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -664 divided by -6?\nAnswer: 332\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) + 3*sqrt(297) + sqrt(297) - sqrt(297))\/sqrt(9)*-5*3)\/(sqrt(704)*-1*2*1).\nAnswer: 15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/25)*b\/b**7*b**(-3)\/b*b**(-4)*((b*b\/((b\/(b*b*b\/(b**(-4)*b)*b*b))\/b))\/b**(2\/7))**9 assuming b is positive.\nAnswer: b**(13011\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -760*m. Let l(g) = -7*g**2. Give u(l(j)).\nAnswer: 5320*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**2 - 2*w**3 + 5*w**3 + 2 + 1 + 2*w. Let m(s) = 8*s**3 + 12*s**2 + 6*s + 10. Let i(y) = -11*c(y) + 4*m(y). Suppose 4*v - 25 = -v. Calculate i(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2655, -7083, -13283, -21255, -30999, -42515, -55803?\nAnswer: -70863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 5*h + 21)*(0 + 3 - 2)*(-2*h + 2*h - 2*h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 895*z - 6730*z - 514*z.\nAnswer: -z**2 - 6349*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.395198 and -1.5.\nAnswer: -1.104802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -18*k**2 + 14*k + 3*k**2 + 6 - 27 - k**3. What is the remainder when 43 is divided by b(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) + (-26)\/(-7). Let t(g) = g**3 - 3*g**2 - 5*g + 4. Let v be t(a). Let h = 15 + v. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47.965, 85, 2 in decreasing order.\nAnswer: 85, 2, -47.965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -72*d + 1113. Calculate c(15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:59 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + 75. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - -144. What is the greatest common factor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43*2\/2*((-1214)\/(-6677))\/((-4)\/22)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9 + 425195.\nAnswer: 425196.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m + 16 - 16 + 20*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3924.072um?\nAnswer: 0.003924072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 - -293. Suppose -a*q = -143*q + 84800. What is q rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 12. Let k be l(3). What is the tens digit of 6 + -1 + k - -132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/3, 0.09, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 + 1470*k**3 + 2965*k**2 - 1470*k - 2960 = 0. What is k?\nAnswer: -2, -1, 1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149227691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:46 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + i**2 - 2. Let s be p(-2). Let n be 34\/8 + s\/(-40). Solve 0 = -5*r - l + 4, 3*r - n*l + 6*l - 8 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -218.944099 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1932 and 9724492.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126510770.\nAnswer: 2, 5, 17, 37, 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.684659 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*-6*2\/(-9). Let k be 75\/20*4\/10. Let y = 130 - 648\/5. Sort l, y, k.\nAnswer: y, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8444619.3 and 4.\nAnswer: 33778477.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19) + -2 + 0 + -5)**2.\nAnswer: 28*sqrt(19) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34908*s**3 - 33474*s**2 wrt s.\nAnswer: 209448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 13*c**2 + 1. Let b(k) = k**2. Let v(x) = 4*b(x) - q(x). Let g(n) be the third derivative of n**4\/12 + n**2 - 3647*n. Give g(v(w)).\nAnswer: -18*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvkvkllvlllbllbbbbkl. What is prob of picking 1 l, 2 b, and 1 v?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526794246?\nAnswer: 2, 3, 11, 886859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2494532 to the nearest 10000.\nAnswer: -2490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a = -3*y + 2938, a = y - 980. Let s be (2\/12)\/1 - y\/(-66). What is the greatest common divisor of s and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -43\/4 (c) 7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51150 = -49*o + 60*o. What are the prime factors of o?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*l + 44, 5*r + 2*l = 4*l + 84. Solve 12*a - r*a = 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, a: 10, t: 1}. What is prob of sequence arra?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**3\/6 - x**2\/2 + x. Is m(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-110)\/(-50) - ((-1308)\/15)\/4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggee when four letters picked without replacement from gegeeeegggggggeggeg?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.9236ml?\nAnswer: 0.0209236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-20 - -24) + (0 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - 23550\/(-14) - 522\/(-609)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.620139ml in litres?\nAnswer: 0.001620139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 2*r**3\/3 - 3*r**2 - r - 4. Let g be (-1)\/2*122\/9 + 64\/(-288). Let w(y) = -3*y**2 + 11*y + 1. What is g*x(a) - 4*w(a)?\nAnswer: -2*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 37*y - 116. What is a(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 15. Suppose y*l - 8877 = 3817. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-294)\/63)\/(44485\/1230)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/30)\/((-1)\/2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 3*r**2 + 7*r. Let a be j(-5). Suppose -d + 3 = -a. Suppose d = -l + 4*l. Calculate the remainder when 11 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2 - 98052*h + 98049 = 0.\nAnswer: 1, 32683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose s = d*s. Factor -2\/5*k**3 + 2\/5*k**5 + 0*k - 2\/5*k**4 + s + 2\/5*k**2.\nAnswer: 2*k**2*(k - 1)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15414 (base 6) in base 12?\nAnswer: 156a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 - 18)*(3*h - 2*h - 2*h)*(6*h**2 - 4*h**2 - 4*h**2).\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7910276, 7910283, 7910294, 7910309, 7910328?\n\"Answer: 2*t**2 + t + 7910273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, 0, 0.8 in ascending order.\nAnswer: -1, 0, 0.5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + 22\/(-28). Let h = -25922\/7 - -3703. Sort h, 2, t in increasing order.\nAnswer: t, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9.06 (b) 2 (c) -5353 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 203*t - 1234. Let r(a) = 135*a - 822. Let u(n) = -7*r(n) + 5*s(n). Let j be u(6). Suppose 15 = -p + 6*p. Sort p, -4, j.\nAnswer: -4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4066701 hours?\nAnswer: 1464.01236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - -1.3. Let b = f - 0.05. Let w = b + -1. What is the nearest to w in 0.4, 3, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -61, -147, -267, -421, -609?\n\"Answer: -17*d**2 - d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*a - z + 6*z, 2*a - 3*z = 7. Suppose 4*v = -2*n + 874, 3*v + a*n - 673 = 4*n. Calculate the highest common factor of v and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 54*r**2 - 50*r - 276. Let c be o(55). Let j be (-3)\/4 + 19\/38. What is the fourth smallest value in -5, j, -0.145, c?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(468) - 2*sqrt(468))*6 + 4 + 1 + sqrt(468) + 4*(sqrt(468) + 1*sqrt(468) + 5) + -1)**2.\nAnswer: 720*sqrt(13) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 4*u - 4. Let w be l(5). Let t be (0 + -2 - -2)*w. Suppose -5*j + 22 = 3*y, y - 3*j = j + 13. Solve -2*m - 2 = 4*p, t = -m + 3*p - y - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 15.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 234627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -741 - 1715 = -8*h. Let p = h + -290. What is the remainder when p is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 42*f + 10. Suppose -5*i - 15 = -4*x + 14, 0 = -3*i + 3*x - 18. Let o be l(i). What is o rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605073748 to the power of 1\/2, to the nearest integer?\nAnswer: 40063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14135071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmimmmmmigm. Give prob of picking 2 m.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 198. Let r = -30 - y. Does 35 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u**2 + 2*u - 2. Let n be z(1). Suppose -11 = -s - 0*s. Solve 3*d - h = -3*h + s, -2*d + h + n = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 27947 = 59*d - 20*d. What is the smallest common multiple of 1 and d?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (0 - 0))*(-105)\/(2100\/(-113480)). Which is smaller: -5673 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-4 - -3) + 3 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 9*p**5 - 240*p**4 + 1677*p**3 - 1014*p**2 = 0.\nAnswer: 0, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.592 + 1.592. Let k = -0.3 + -2.7. Let u = k - -2.9. Which is the fourth biggest value? (a) i (b) u (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 59*(-366)\/53985*18\/(-4). Find f, given that 54\/5 - o*f + 3\/5*f**3 - 12\/5*f**2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - 63 - (-19 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v + v - 6*v)*(-4 + 2 + 3 - 2 + 1 - 1 + (-3 + 0 + 4)*(-3 + 3 + 1) + 1 - 5 + 2 + 1 - 4 + 5 - 4 + 2 + 1) to the form x*v + t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39746 divided by -167?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 200.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2757 and 15?\nAnswer: 13785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 5*c + 4. Let m be g(-3). Let z be 4 + (-3 - -2) + m. What is the derivative of -3 - 4*r**3 + z + 4*r**3 + 2*r**3 wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + -6*(sqrt(1440) + sqrt(1440) + -1*sqrt(1440) + sqrt(1440)))\/((sqrt(3025)*-3 + sqrt(3025))\/sqrt(5)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + v**4 + 3*v**4 + (-v - 3 + 3)*(v**3 + 2*v**3 - 5*v**3) - 157*v**4 + 247*v**4 + 429*v**4 + (4*v - 2*v - 4*v)*(-3*v + 3*v + v**3).\nAnswer: 521*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -1\/2*x**2 + 0*x - 1. Let l(d) = -d. Calculate l(w(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 349\/71979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 924. Let q = 20752\/7 + -3428. Let o = q + t. Is o not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**2 - 14*a + 2. Let u be x(6). Let m = 226 - u. Do m and 92 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 3, f: 1, x: 1, p: 1}. What is prob of sequence pzl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o = -20 + 112 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 241 in increasing order.\nAnswer: -2, 1, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -13\/982 (b) 5\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/379?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 f when three letters picked without replacement from bbfbrqrrrqb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*a**4 - 2*a + 4*a - 2*a**2 + 6*a**4 + 8 + 22 + 38*a**4 wrt a.\nAnswer: 888*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/9 + 6080*c\/3 + 18236\/9.\nAnswer: 4*(c + 1)*(c + 4559)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4 + 24. Let m be (-5)\/(q\/8) + -1. What is the greatest common factor of 8 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30213*q**2 + 7924*q**2 + 124 + 122 - 246 in the form l + a*q**2 + t*q and give a.\nAnswer: -22289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-95)\/190).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2505\/14 + -1280\/7. Calculate the common denominator of f and ((-8)\/(-40))\/((-44)\/730).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*u + d - 7, -u + 4*d = 9. Let t = 14 - u. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 187, 4, 17223.\nAnswer: 2, 4, 187, 17223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-4) + 3\/(-6). Suppose d*h = 3*h + 32. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325271?\nAnswer: 325271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-8)\/72). Let o = u + 23. Solve -6*i + i - o = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*m**5 + 249050*m**4 + 5341895*m**3 + 28367680*m**2 - 6279900*m = 0 for m.\nAnswer: -1038, -11, 0, 10\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from hch?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 + -211. Suppose -20 = -v*r + r. Are -10 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1346 + 3404067?\nAnswer: 3402521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-12)*-530*22\/330?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -8, 710?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 2*h**2 - h. Let p be m(1). Suppose -7*k = -p*k - 40. What is the greatest common factor of k and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 398 + 368 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35600 divided by 200.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y**3 - y**2 - y + 1. Let f be c(1). Is 17 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) 1122.2 (b) 16 (c) 0.2 (d) -4 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/20 + 599*n**4\/12 - 133*n**3\/2 - 5519*n**2. Factor b(x).\nAnswer: -(x - 399)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 13 = -0*m - m, 0 = -5*y + 4*m + 30. Suppose 0 = -t - y*t + 57. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 525, 1048, 1571, 2094, 2617, 3140?\n\"Answer: 523*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.52 (b) -1 (c) 3 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8341754 take away 0.11478?\nAnswer: 0.7193954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:35 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*g**3)*(1 + 6 + 1) - g - 97*g**3 + 32*g**3 + 258 + 63*g**3.\nAnswer: -18*g**3 - g + 258","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034049912 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/3*15\/(-135)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8347.707km in nanometers?\nAnswer: 8347707000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooiiioii. Give prob of sequence ooio.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14786*m**2 + 5*m + 5. Let y be p(6). Let d be 40*y + 0 + 3. Let x = d + -12193243. What is x rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2 - -1 - 6. Let c(k) = k - 1. Let h(t) = 2 - 3 + 3*t + 3 - 1. Let b(s) = -6*s - 1. Let p(i) = -3*b(i) - 5*h(i). Determine v*c(q) + 2*p(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60139 - 41210. List the prime factors of y.\nAnswer: 23, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1, 0.102, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 8687.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328230150?\nAnswer: 2, 3, 5, 167, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -157*g**4 + 95*g**3 + 59*g**2 + 13*g. Let i(p) = p**4 + p**3 - p**2 + p. Suppose 0 = -6*y + y + 25. Let o(u) = y*i(u) - c(u). Factor o(z).\nAnswer: 2*z*(z - 1)*(9*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14377 - -14542. Solve 33*s - 88*s = h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 161142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 109 + 2*(-5)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*b**4 - 64\/7*b**3 - 768\/7*b**2 - 4096\/7*b - 8192\/7.\nAnswer: -2*(b + 8)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -16603.\nAnswer: -16606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4752 + 4771. Sort 1, c, 0.3, -5.\nAnswer: -5, 0.3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-3)*(-228)\/(-190))\/(-1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -169077, -337797, -506517, -675237, -843957, -1012677?\n\"Answer: -168720*u - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16035003?\nAnswer: 3, 197963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 1 f when three letters picked without replacement from {f: 13, c: 5, w: 1, t: 1}.\nAnswer: 13\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 275 = 4*w, -5*w - 24 + 103 = -i. Let g be -3*(-426)\/14 + 6\/(-21). Let k = i + g. Solve 6*m + 20 = k*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9779 - 9764. Which is the nearest to 1\/5? (a) -6 (b) 0.7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215402263 to the power of 1\/2, to the nearest integer?\nAnswer: 14677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*x - 189 = -37, f - 64 = 5*x. What is the remainder when f is divided by (-308)\/(-26) + (-18)\/(-117)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 39 = -15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-20))\/((-1)\/3)*(-880)\/(-2376)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1303216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*p - 5 = 0, 5*n + 7 = -5*p + 2. Let t be ((-2)\/(-40))\/((-4)\/10). Is n < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 27. Suppose c + 3*c + 2 = -2*v, -5*v = o. Suppose g = 1 + 1. Calculate the remainder when c is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2410, 11074, 25504, 45700, 71662, 103390?\nAnswer: 140884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p - 31. Let n be j(-4). Which is the nearest to -1\/4? (a) -1\/4 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164\/(-492)*60\/(-16)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6396998513 + -2.6397. Round o to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 78335318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1108*m**2*v**2 - 2*m**2*v - m**2 + 3*m - 6*v**2 + 103334*v wrt m.\nAnswer: 2216*m*v**2 - 4*m*v - 2*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 7*f - 6. Let l(q) = -7*q**2 + 0*q**2 + 2 - 2*q**3 - 2*q + 3*q**2. Let k be l(-2). Determine v(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 7*w**2 + 2*w - 6. Let j be i(6). Let g = j + 47. Calculate the remainder when 49 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrjrrrrrrrrjrrrrrr?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**3 - 5*p**2 + p - 3. Let l be m(-5). What is the first derivative of 32*b**4 + 22 + 617*b**3 - l*b**3 wrt b?\nAnswer: 128*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 226, 806, 1944, 3826, 6638, 10566, 15796?\n\"Answer: 31*g**3 - 9*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (455\/546)\/((-78)\/(-108)*30)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/118607 + 666334061\/1541891. Factor -212\/13*f - k - 2\/13*f**2.\nAnswer: -2*(f + 53)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4974 and 54.\nAnswer: 44766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 - 13 = 5*t, -7 = 5*n + 4*t. Is 1\/3 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: (22\/(-308)*4)\/(10*2\/7)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + -1 + 5 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(10)*-1*-6) + (sqrt(12) + sqrt(192)*4)\/sqrt(6))**2.\nAnswer: 10609\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, d: 5, a: 4, f: 1, o: 1}. Give prob of picking 1 d, 1 a, 1 f, and 1 s.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 1\/47, -0.4, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 9*i + 32. List the prime factors of x(-14).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 877*b**5 - 2*b**4 - 1264*b**3 - 113940632*b.\nAnswer: 17540*b**3 - 24*b**2 - 7584*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -3346?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1436, -346, 0.2 in increasing order.\nAnswer: -346, -0.1436, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/(-126))\/19*24\/(-20)*-5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -984 - -988. Solve -3*g + 2 = -5*m + 29, b*m = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 33. Let w(t) = -t - 6. Let z be w(-6). List the prime factors of h(z).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + 8*i + 13. Let r(m) = -m**2 - m - 1. Let a(s) = 6*r(s) + x(s). Let v be a(3). Solve 3*o - 26 = v*b, -3*o - 11 - 3 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 26*l**2 - 18*l + 372. Determine q(-27).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24, -6, 24, 66, 120, 186?\n\"Answer: 6*f**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (50\/(-90))\/((-5)\/24). Let i be 0 - 17\/(-9) - 2. Which is the second smallest value? (a) -4\/3 (b) i (c) t (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 19*u**4\/6 + 11*u**2 - 35*u. Find the first derivative of d(o) wrt o.\nAnswer: 76*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000553690062 rounded to six dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 15*d**2 + 18*d - 29. Let l be x(16). Suppose 0 = 2*o + l*h - 6536, o = -3*o - 3*h + 13078. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 3\/259 (b) 0.2 (c) -3 (d) -3\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -144404, -278161, -411916, -545669, -679420, -813169?\n\"Answer: t**2 - 133760*t - 10645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1012)\/(-4554))\/((-4)\/(-2178)) is divided by 113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 37876552*n - 89664574463044.\nAnswer: -4*(n + 4734569)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 230132112121?\nAnswer: 230132112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 85*q = 0. Solve q*z - 5*w = -5*z - 15, z - 5*w + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1129183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d - 50*d**2 + 24*d**2 + 25*d**2 - 5. Let z be p(-2). Let t be 3 + -1 - (-7 + 1). Solve -z*x = x - t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -46 + 37*c + 182*c - 51*c. What is the tens digit of u(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78083076.\nAnswer: 2, 3, 1811, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19729485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147.8 + -147.644. What is l rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15420046, 15420004, 15419962, 15419920, 15419878?\nAnswer: 15419836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((1 - 3)\/2). Suppose 282 = -5*g + 4*f, -3*g - 2*g - u*f = 264. Let v = g + 301. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 2*r + 8, -3*r + 134*g + 8 = 132*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 41 + 34 + 39 + 2309*x - 146 to the form n + t*x and give t.\nAnswer: 2309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2688 - 1263. Let z = k + -343. Let c = 2253 - z. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/8391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5 + 342*a**4 - 18628*a**3 + 313884*a**2 + 18630*a - 314226 = 0.\nAnswer: -1, 1, 33, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/18*(-16)\/108.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218 - -124. Let x = -93.99999931 - k. Round x to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2240 (b) 2\/21 (c) -0.3 (d) -2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2140, 4289, 6428, 8551, 10652, 12725?\nAnswer: 14764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q + 23. Let a(s) be the first derivative of -s**4\/4 + 3*s**3 + 9*s**2\/2 + s + 13. Let i be a(10). Let m be h(i). Put -4, 7, m in descending order.\nAnswer: 7, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmmvmvvvvmvvvvv. Give prob of picking 2 v.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7345 + -7196.08. Let p = 221 - 72. Let q = z - p. Which is the third biggest value? (a) 0.3 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + g - 21 = 4*u, -g + 5*u = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Let u(m) = m**3 - 3*m**2 - m - 4. Let s be u(r). Solve -d = d - s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 16, 5.\nAnswer: -7, -2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Let q(v) = 2*v - 27. Determine y(q(j)).\nAnswer: -8*j**2 + 216*j - 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*r. Let h(s) = -s**3 - s**2 + s + 4. Let q be h(r). Let p be (-2)\/8 + 39\/60. What is the nearest to 2\/3 in -1\/7, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**3 - 5*q**2 + 2*q. Let b(s) = -7*s**3 + 8*s**2 - 3*s. Give 5*b(j) + 8*m(j).\nAnswer: 5*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067314?\nAnswer: 2, 53, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 10*p + 19*p)*(0 - 3 - 3)*(18*p - 13*p - 7*p + 19).\nAnswer: 48*p**2 - 456*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 4*g - 0*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469 divided by 1019?\nAnswer: -469\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b)**45*b\/(((b\/b**(2\/9))\/b)\/b)*(b*b**(3\/7))\/b assuming b is positive.\nAnswer: b**(5837\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 30 + 14 = 0. List the prime factors of (-2)\/t + (-157)\/(-4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 31 = 11. Let h = n + -27. Round h to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -65, -1, -6, 4, -4, -5.\nAnswer: -65, -54, -6, -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7690\/3 or -2564?\nAnswer: -7690\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -844*b**2 - 868*b**2 + 1652*b**2 to the form c*b**2 + q + u*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 197 = 113. Solve -y - 2*f = -f, -a*y - 7 = -3*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.5, 0.3, 43, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 6. Solve -3*z + x*f - 24 = -0*f, 0 = -3*z + f - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 11*q + 18. Let b be f(-14). Is 6\/b + (-61)\/(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -541*v**5 + 6*v**4 - 7*v**2 + 1518190*v + 2 wrt v?\nAnswer: -10820*v**3 + 72*v**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)\/p**(-5\/6)*(p**(-2\/7))**(-38) assuming p is positive.\nAnswer: p**(281\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1105.82*-1.\nAnswer: -1105.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 410861289 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202705 is divided by 16887?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -48 + 15*d + 49 + 8*d. Let c be p(1). Suppose 3*z - 6 = c. Solve -n - z = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 486, 732, 980?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45948891 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2171856 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 538*f - 20868.\nAnswer: -2*(f - 222)*(f - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2 - x - 18. What is i(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12138)\/(-26) + (-24)\/(-156) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123168 - 15175. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 146341?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 19 + 23 + 5*v)*(1 - 1 + 2*v).\nAnswer: 20*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 8359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*t - 16 = 0, -5*n + 43 = -60173*t + 60177*t for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84027 or -84026?\nAnswer: -84027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:46 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.54 minus 7.27?\nAnswer: 39.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 g when three letters picked without replacement from {b: 6, o: 3, v: 2, g: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -30 + 226 + -212.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 761631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Suppose 5*k - 10 = -5*d, -k = -0*k + r. Let c be (-15)\/(-2) + d\/(-2). Solve 2*x = y + 6, 0 = -2*y - 0*y - 2*x + c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11603*o + 11595*o + 99 = 23189*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281 + -269. Let p(x) = -12*x**2 + 3 - 16 + x**3 + x + x. What are the prime factors of p(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 11*c - 7. Let w be h(-7). Let u = 20 - w. Are u and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a - 11. Suppose -j + 23210 = 4*w + a*j, 0 = 2*w - 3*j - 11594. What is w rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*87007\nAnswer: -435035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 456871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Let t = x + 1. Which is the second biggest value? (a) t (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 3, 652, 7, 1, 5 in descending order.\nAnswer: 652, 19, 7, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12133103200 (base 4) to base 16\nAnswer: -19f4e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-274 + -2)\/(-3))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15266499 and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9836538m?\nAnswer: 983653.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14\/g)\/(g\/((g**38*g)\/g))*g**(-8)*g*g**35\/g assuming g is positive.\nAnswer: g**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -14. Let z = 63802\/41 + -1556. Let p = 71\/205 - z. Put c, 0.4, p in decreasing order.\nAnswer: 0.4, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 - 13*y - 13. Give k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/3? (a) 0.22 (b) -15 (c) -201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*sqrt(176) + 4 + 4 + sqrt(176) + sqrt(176)*-2 + 1*sqrt(176)*-3 + sqrt(176))**2*1.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -14\/15*w**3 + 0*w - 1\/2*w**4 + 112 - 2\/25*w**5 - 3\/5*w**2. Suppose u(v) = 0. What is v?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(48\/20)\/(6\/(-20)). Suppose t = -4*g - 12, 2*g = -5*t - g + r. Solve 0 = -t*a + 1 + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 1125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18496 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3068 and 676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 27, -349347, 2, -2\/9.\nAnswer: -349347, -3, -2\/9, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/4 - 5*a**3 - 111*a**2 - 304*a + 1088.\nAnswer: (a - 34)*(a - 2)*(a + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2891 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -56*m - 7. Let t be b(2). Let d = t - -67. Let z = -41 - d. Calculate the remainder when 32 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 48*q = 945 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*v - 29. Solve 3*y - l + 13 = -2*l, 3*l = v*y + 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0*x**2 - 2 + x**2 + 5. Let s be 33\/27 - (-4)\/(-18). Let u = 2 - s. Let y(c) = -c**2 - 1. Determine u*b(l) + 2*y(l).\nAnswer: -l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (64\/(-192))\/(1\/(-21267))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -180, -375, -648, -999, -1428?\nAnswer: -1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 - 245*n**2 - 10*n. Let z(d) = 3*d**3 + 368*d**2 + 14*d. What is -7*l(w) - 5*z(w)?\nAnswer: -w**3 - 125*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 2*r - 13. Suppose -4*j - 4*a + 11 - 3 = 0, 4*j - 2 = -a. Suppose 7*p + p - 432 = j. What is the smallest common multiple of c(3) and p?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -3. Let q = j + -6.77. What is q rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 c when three letters picked without replacement from cclwcgwccgcacc?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 375*g + 24628. Give i(-66).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 7. Let c be t(-6). Let p(n) = -c + 0 + 2 + 3*n + 0. Let s be p(-1). Is s at least as big as -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 100*f + 3. Let i(d) = d + 1. Let l be i(-4). Let g(o) = 25899*o + 776. Let j(q) = l*g(q) + 776*x(q). Does 25 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) + -6*sqrt(9)*-2).\nAnswer: sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510a9 (base 13) to base 4.\nAnswer: -203123311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 588?\nAnswer: 5\/588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 2*r**7\/245 - 9*r**6\/280 + 3*r**5\/70 - r**4\/56 - 4*r**2 + 3. Let i(u) be the second derivative of p(u). Solve i(h) = 0 for h.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 17184 + 3848. Let i = 245 + b. Is -2*5\/((-30)\/i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q - 393 = 471 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z - 20. Let j(d) = 3*d - 162 + 162. Let t(p) = p + 2*p - 2*p. What is z*t(n) + j(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9396 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -11, 2.\nAnswer: -11, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-6) + -5)\/(-15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*(d**(-6)\/d)\/d*d)*d**(-5))\/(d*(d\/(d*d**(-1)))\/d*d*d\/((d\/(d\/d**(-9)))\/d)) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -236, 9, 4, 2 in descending order.\nAnswer: 9, 4, 2, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 475583166893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*m**2 - 591*m**2 + 769*m**2 - 222*m**2.\nAnswer: -533*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 3*h**3 - 247*h - 249*h + 2*h**4 + 494*h to the form k*h**2 + o*h**4 + d*h**3 + y + c*h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 12*f**2 - 22*f - 104. Let k be j(-13). Let q(n) = -n**2 + 13*n - 6. What is q(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49990900 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.27 + -2.97. What is the fourth biggest value in 31, -3, -1, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 41*f**2 - 87*f - 2. Let h be v(-43). Let -2555*r - 5*r**3 + h*r**2 + 319*r**2 + r**3 - 2752*r - 2793*r = 0. Calculate r.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 14*j - 7. Let g be t(15). What is the third derivative of -11*f**2 - g*f**5 - 625*f**4 + 625*f**4 wrt f?\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32193 - -32194. Sort 7, 5, p, -2, 19 in increasing order.\nAnswer: -2, p, 5, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65514 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 625712 by -312856.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 423370 + 107?\nAnswer: 423477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, z: 1, y: 1, u: 2, n: 3}. Give prob of sequence yuz.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l + 8. What is d(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.817048 decades in centuries?\nAnswer: 0.3817048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (4 + 14 + -10)) + (-23 - -1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11014 + 12126. What is the greatest common divisor of f and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 2*i**2 - 2*i**2. Let y(b) = -b. Let a(o) = 5*o**2 - 4*o. Let t(s) = a(s) - 4*y(s). Give t(m(w)).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*k + 231*k - 146342 = 3295*k + 58478 for k.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911*z**2 + 184 + 200 - 383.\nAnswer: -911*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*o - 2068 = -o, -3*o + 2578 = 5*b. Let f = 725 - b. Calculate the greatest common factor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:52 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-1344)*-8)\/(-3*21\/(-28))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.4055 months in millennia?\nAnswer: 0.006117125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 7*o + 357. Let j(z) = 2*z**2 + 5*z - 255. Let v(p) = 5*d(p) + 7*j(p). Let a(c) = 440*c**2 - 3. Calculate a(v(k)).\nAnswer: 440*k**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 58 = -61. Let q = 1.1 - -2.9. Which is the second biggest value? (a) q (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 times -0.7\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 16\/36 + 25061\/171?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16842 divided by -14.\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 6:07 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 276*p**2 + 559*p. Let z(a) = -a**3 + 3*a. Let w(i) = -n(i) - 3*z(i). Solve w(g) = 0.\nAnswer: -71, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 474 by 3.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/20)\/((-4)\/(-40)). Let w be 564\/44 - 5\/((-110)\/g). Suppose -120 = n - w*n. Solve 0 = i + i - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let c(f) = f. Let o(l) = 2*c(l) - 3*h(l). Let z(w) = w**2 - 8*w + 2. Let b be z(8). Let q(i) = -12 + 12 + i**b. Determine o(q(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1331010*i**4*p + 2*i**3*p**2 - 4*i*p**2 + 11*i*p - i - 193*p**2 - 8*p wrt i?\nAnswer: -15972120*i**2*p + 12*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 4) in base 3?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 103*o**2 + 0*o - 181*o**2.\nAnswer: -78*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a week in hours?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.8146 millennia in months?\nAnswer: 11361775.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38890607293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 562991184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 309 in descending order.\nAnswer: 309, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -524423 + -5?\nAnswer: -524432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 - 2*b**2 + 3*b + 1. Let n(k) = -k - 5. Let t be n(-1). Let d be j(t). Sort 0, 2, d.\nAnswer: 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 2. Let v be p(-3). Let c(r) = -3 - 2*r - v*r**2 + 6*r**2 + 3*r**2. Let s be c(3). What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 70.8. Let h be (2\/5)\/((-1)\/(-1)). Let r = -8\/45 + h. Put -2, r, w in ascending order.\nAnswer: -2, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z - 10. Suppose 6*j - 3*j - 25 = -2*h, -3*h = -3*j + 15. Let i(r) = r**2 - 6*r + 6. Calculate the remainder when d(j) is divided by i(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -406 - (-2 + 5 - -1). What is j rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from uuuczoeuoczooe?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 23*h + 6. What is the tens digit of r(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 5)*(4*n + 3 + 5 - 9).\nAnswer: -16*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6142\/610) + 3457\/127909?\nAnswer: -6\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**5 + 204*b**4 + 3459*b**3 - 606*b**2 - 9996*b + 6936 = 0.\nAnswer: -34, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268825 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/1119 - 397\/3357. Sort -0.3, 4, n, 108.\nAnswer: -0.3, n, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*a - 214 = 0, -c - 2*a = 4*c - 267. Suppose -3*h + c + 49 = 2*i, 0 = 2*i - 4*h - 116. What is the smallest common multiple of 22 and i?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2 + 267*o - 4482 = 0.\nAnswer: 18, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -15. What is the second smallest value in -0.01, i, 0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23823 is divided by 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4894 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -d + 2. Let p be (-4 + d)\/(4\/3). Factor 1\/3*f**p + 0 + 2\/3*f + f**2.\nAnswer: f*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.049 - 6.999. Is d > -299\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29687\/198 + 1394\/9. What is the common denominator of o and 117\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/15? (a) 0.5 (b) -0.3 (c) -389 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -5*a + 6*p - 4*p, -3*p = 4*a - 215. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y. Let n(r) = -4*r + 1. Suppose 10*p + 25 = 15. Let f(v) = 9*v. Let d be f(-1). Let l be 30\/4*(-6)\/d. Give l*z(g) + p*n(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 94, 390, 1016, 2140, 3930, 6554?\n\"Answer: 28*j**3 - 3*j**2 + 109*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*n = -2, -t + 22 = -3*t - 4*n. Let m = 3.1 - 3. What is the nearest to m in t, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 5*i**2 + 5*i**2 - 9*i**3 - i to the form k*i**3 + q + l*i**2 + f*i and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 - 494. Let g be (y\/(-6))\/((-10)\/(-15)). Suppose 887 = 9*k + g. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 1, l: 1, z: 1, k: 1}. What is prob of sequence glk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/11, 0.1, -2\/39, -5 in descending order.\nAnswer: 0.1, -2\/39, -2\/11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50425120 (base 7) to base 10.\nAnswer: 4191523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 34, -3\/5, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*y**5 - 23*y**3 + 7*y - 10.\nAnswer: 140*y**3 - 138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -2*q - 107. Let y = q + 222. Suppose -6*a = -2*a - y. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1. Let v(r) = -9*r**3 - r**2 - r - 1. Let g be v(-1). Let x(d) = g - d + 3*d - d - 2*d. Give 6*f(w) - x(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 3)\/(3\/24*-2). Solve -i = -4*y, 0 = -3*h - 5*y - 1 + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -76 - -1500 - (-3 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 112344?\nAnswer: -112334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 4 = 4*c. Solve -4*p = -c*p - l + 14, -p + 2 = -l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -55, -91, -143, -217?\n\"Answer: -f**3 + f**2 - 22*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96706277 - -206951439269\/2140. Let c = -141\/107 - o. What is the common denominator of -44\/15 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51867188861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-28)\/(-126))\/((-24)\/9) + 28806\/72.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) 3\/5 (c) 1\/2 (d) 1\/4 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13074*k**2*n**2 + 94*k**2 - 6544*k*n**3 + 2613774 wrt n.\nAnswer: -26148*k**2*n - 19632*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -41, 5 in descending order.\nAnswer: 5, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 407*v**2 + 14998*v + 1772. What is h(-441)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -3*i - 22, -3 = 2*r + 3*i. Suppose -3*a + r*q - 14 = -83, 3*a = -2*q + 74. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**3 - 306390*y**2 - 4700169180*y - 196867004040 = 0?\nAnswer: -30618, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1722 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.5817 - -0.5817. Which is the second biggest value? (a) v (b) -5\/8 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2 + 28. Let d be (-1)\/4*-2*o. Suppose 0*g = -d*g + 3365. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101 (base 6) in base 5?\nAnswer: -10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqoq when four letters picked without replacement from {q: 17, o: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 134610 + 134610. Let u(f) = -2*f - 130. Determine u(r(p)).\nAnswer: -2*p - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1294728 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1119 - 0.2.\nAnswer: -0.3119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 5\/4, 62.5 in decreasing order.\nAnswer: 62.5, 2, 5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2100 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + 5634\/(-1890)*(0 + 1)).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-4 + (-5 - -13)) - 3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/45*-6*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94447)\/((-19)\/(-1) - -1). Let l = -4721 - x. Calculate the common denominator of ((-363)\/24)\/((-20)\/(-8)) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38949, 77901, 116853, 155805, 194757, 233709?\n\"Answer: 38952*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 - 24*i**2 + 24*i + 83. What is l(8)?\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**4 - l + l + (-l**3 + 0*l**3 + 2*l**3)*(7*l - 3*l - 3*l) - 5*l + 5*l - 4*l**4.\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 66*v**4 - 4089*v**3 - 1727736*v**2 - 78783525*v - 3577500 = 0.\nAnswer: -75, -1\/22, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3059957785 - 3059957785 - 6*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, b: 1, l: 4}. Give prob of sequence bl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 98 + 12. Let n be 3\/1 - -68 - 4. Suppose -2*p = 5*q - 4*p - n, 3*q = 3*p + 42. Calculate the remainder when s is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 2) + 12 - (0 + 0 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 18 = 2*n - 13, -4*n = 2*d - 86. Suppose 2*c - 2 = -3*m - 2, -27 = 5*c - 6*m. Sort n, 3, -1, c in increasing order.\nAnswer: c, -1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/7)\/((-5165)\/7231)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1125.\nAnswer: 1\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2252524 (base 6) to base 16\nAnswer: -1c504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/10)\/p**4)\/(p**1*p)**49)\/((p**(1\/7)\/p*p*p)\/(p\/(p**(8\/5)\/p)*p))**21 assuming p is positive.\nAnswer: p**(-963\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211 divided by -5.\nAnswer: -211\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -15534593.\nAnswer: 4\/15534593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2902*w + 938*w - 1859*w.\nAnswer: 1981*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39606, -39579, -39552?\n\"Answer: 27*s - 39633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-105)\/75*20\/(-8) + -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**8)\/k*k\/((k\/k**(1\/10))\/k)*(k*k**(1\/4)*k*k)**(15\/7)*(k\/k**(1\/11)*k**(-4))**(1\/91) assuming k is positive.\nAnswer: k**(607\/20020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 91 (b) -0.03 (c) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-509 - p + 429 - p)*(-2022 + 1903 + 1209) to the form c*p + g and give g.\nAnswer: -87200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 - -36.33. Round p to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 10 + 3*h**3 + 8*h**2 + 2*h - 2*h**3. What is the tens digit of p(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 20. Give h(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - z**2 + 2 - z - z**4 - 1 - 2*z**3 to the form b + d*z**3 + f*z**4 + y*z + x*z**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v + 49. What is g(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 4*q**3 + 3*q**3 + 2 + 2*q**3 - 2 - 2*q**3 + 2*q**3 - q**3 + 0*q + 0*q - 3*q**3 + (2*q**2 - 2*q**2 + 2*q**2)*(q - q - 2*q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 31*k**2 + 7*k - 192. What is the remainder when q(16) is divided by 262?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 902823, 902809, 902795, 902787, 902791, 902813?\n\"Answer: h**3 - 6*h**2 - 3*h + 902831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -22.4?\nAnswer: -27.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*w + 31*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*m**2\/8 + 899490*m + 2398641\/8 = 0. What is m?\nAnswer: -1\/3, 799547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -14, -75, -192, -383, -666?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o + 2540 - 968. Let w = o - -137. Let v(y) = -y**2 + 5*y + 2. Let b be v(4). Calculate the highest common factor of b and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 4. Let a(j) = 5*j - 4*j + 2*j - 3 + 0*j. Suppose -2*i - 2*i - 2*m + 16 = 0, i - 4 = m. Give i*a(d) - 3*x(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-37)\/1)\/(-1) + 1. Let s = -2 + u. Let a(i) = i**2 + 10*i + 13. Let w be a(-9). What is the highest common divisor of s and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14647955683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = 39*q - 8*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -5*x**9\/168 + 7*x**5\/20 + x**2. What is the third derivative of c(i) wrt i?\nAnswer: -1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/75 and -1\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3029150320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 273, 280, 287, 294, 301?\n\"Answer: 7*w + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7907, -7926, -7959, -8000, -8043, -8082, -8111?\n\"Answer: v**3 - 13*v**2 + 13*v - 7908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.25161 * -0.13\nAnswer: 0.0327093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 11. Let f(m) = -2656908*m**2. Determine r(f(b)).\nAnswer: -5313816*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(390\/(-156)). Is -185 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/204 and 167\/114750.\nAnswer: 229500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 7) + (-1)\/(-4). Which is the closest to -0.1? (a) j (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 4 - 4 + (1 + 3 - 3)*(-3*l + l + l) - 13*l + l - 2*l + (3*l + 2*l - 6*l)*(-3 - 1 + 3) - 2*l + 3*l + 0*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y**2 - y**2 - y**3)*(-3*y**2 + 3*y**2 - 2*y**2) + y**5 - y**5 - y**5 - 56*y**5 - 1550*y**4 + 1550*y**4)*(-2 - 5 + 1).\nAnswer: 330*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26014)\/64446 - 14\/(-21). Let f = -1\/467 + d. Is f at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/8 + 11501*i**2\/8 - 2023415*i\/8 + 89689483\/8.\nAnswer: -(i - 11323)*(i - 89)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4009*o**2 + 4*o - 5. What is the tens digit of d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 1, v: 2, d: 1, n: 1}. Give prob of sequence zn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**3 + 18*x**2 - 12*x - 6. Let c(h) = 2*h**3 + 2*h - 1. Let m(t) = -6*c(t) + u(t). Solve m(s) = 0 for s.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.108287 rounded to one dp?\nAnswer: 29.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 6*d + 3. Give q(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16971073)\/(-28) + (12\/(-16))\/(-3))\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*4*(-7)\/84\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 4, 18, 36?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**4 + 257720*h**3 - 4122429*h**2 - 4315721*h - 1095038 = 0. Calculate h.\nAnswer: -1\/2, 17, 64414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -263, -245, -227, -209?\n\"Answer: 18*o - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 663, 664, 665?\n\"Answer: r + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j + 28*j - 13*j - 3595126. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 507*y - 8368. Let s be h(-16). Solve u - m = s, 4*m - 6 = u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 122221000211102212?\nAnswer: 122221000211102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -22. Calculate the remainder when 85 is divided by o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 4331552231?\nAnswer: 4331552230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -735*l**3*s**2*t - 2*l**3*s**2 - 2*l**3*s + 5*l*s**3 - 2*s**3*t wrt t?\nAnswer: -735*l**3*s**2 - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 2.1. Let r = 1.8 - b. Let z = 0.08 - -0.12. What is the nearest to -0.1 in -0.5, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*u = 42, -q - 3*u - 105 = -6*q. Let k = 40 - q. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15763269 and 4348488.\nAnswer: 126106152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**3\/3 - 3*w - 1. Let z = 30745 + -30741. Let g(i) = -i**2 - 4. Determine z*t(r) - 3*g(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 2923333?\nAnswer: 2923337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*h + 6, -4*h + v = -4*v - 10. Let b be h - (21 - -2)*-1. Suppose -b = -2*p - 5. Solve -7*z + j - p = -3*z, 4*z + j = -7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = -2*i - 16, -4*r + i + 23 = 0. Let u(c) be the first derivative of c**4\/4 - c**3 - 5*c**2\/2 + 2*c + 4. Does 27 divide u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-3 + (-3)\/(-3)). Put -3, -5, j in descending order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.909 + -17. Round s to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = -3*u, 0 = -7*k + 2*k + 2*u - 6. Let z(i) = i**3 + 18*i**2 + 19*i + 37. Let s be z(-17). Solve k = 7*w - s*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 0*q + 4. Let u(l) = l**2 + 2*l + 1. Let i be u(-1). Suppose -q*c + c + 156 = i. Calculate the greatest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200304631 (base 7) in base 5?\nAnswer: 10431103321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175255*f**3 - 372*f - 323*f + 695*f.\nAnswer: 175255*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*o + 3*o. Suppose -c + 8 = -j, 3*j + o = -5. Solve 4 = -c*y + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96 in -2, 1\/4, 734, 0.5, -5\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168*g*m**2 + 2*g*m - 6716*g + 4*m**2 with respect to m.\nAnswer: 336*g*m + 2*g + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + (39 - 5) + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -112*x + 103*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/sqrt(2) + -2 - sqrt(2) - (-5*(sqrt(2) + sqrt(6)\/sqrt(3)))**2) + 1*sqrt(2)*-2*2)*-6.\nAnswer: 24*sqrt(2) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2. Let q = -93 + 102. Let h(o) = -q*o + 8*o - 7*o + 0*o. Give h(n(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51164*x - 50082*x - 83314 = 0 for x.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 7*q - 3. Let c(l) = l**3 - 5*l - 2. Let y(t) = 7*c(t) - 5*s(t). What is the derivative of y(z) wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4403.\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1337637, 1337658, 1337711, 1337808, 1337961?\nAnswer: 1338182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 561339 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24453 - -118453. What is i rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + o - 36. Let w be n(0). Let u = 61 - w. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c + 6. Let d be t(15). Suppose -p - d + 175 = 0. Solve p*k + 3*v - 2*v = -18, 4 = -2*k + 2*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -20, -36, -56?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + -354. Let p = 232 + b. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150159*t = 150158*t + 4*f + 88, 0 = 3*t - f - 22 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3657 + 0.0343. What is the third smallest value in p, -7, 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + k + 12 = -0*k, 3*c + k = 12. Suppose -2*s - 22 = -3*a - 0*s, -24 = -5*a - c*s. What is the least common multiple of 2 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 360, 730, 1104, 1476, 1840, 2190?\n\"Answer: -v**3 + 8*v**2 + 353*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 + 0*l**4 + 0*l**4)*(8*l - 4*l - 10*l).\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25296 and 1904?\nAnswer: 177072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1144807\/4104240 - -4\/17101. Calculate the common denominator of 121\/24 and h.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + (-1 - -8) - 12\/(-1). What is the units digit of (-16)\/u*(-70)\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*v - 16 = 73*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -408 - -408.0000546. What is v rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(833))*-5 + -4)**2 + -5*4*(sqrt(833) + 0 - sqrt(833))**2.\nAnswer: 1330*sqrt(17) + 21186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/((g\/(g*g**(-2\/55)))\/g)*g)\/g))**(-18\/5) assuming g is positive.\nAnswer: g**(954\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 + -145. What is the first derivative of -11 + 4*r**3 - 48*r**2 + 0 + g - 3*r**3 wrt r?\nAnswer: 3*r**2 - 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a18 + -1?\nAnswer: -1a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1027 >= -6167\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = 2*v - 6, -v + 6 = 5*g. Let t be (g - 9)\/((-15)\/30). Suppose 17*d - 4 = t*d. Solve -5*j = -d - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 2\/3*n**3 + 0*n + 1\/30*n**5 + n**2 - 1 + 1\/4*n**4. Let v(q) be the second derivative of s(q). Factor v(p).\nAnswer: 2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -1. Let r = i - -0.3. Let q = -0.064 + -0.936. Is q at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5077.15983 rounded to the nearest ten?\nAnswer: -5080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1240716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/260 and 4995\/468 + -10 + 0.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 6*g + 7. Let b be o(5). Let i be (-8 - -9)\/((-1)\/2). Let k be 1*2*(9 + i + 0). Solve -c + 5*w = -0*c, 0 = b*c + 4*w - k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53751*k - 107488*k + 53739*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Determine r(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21 - 22)*-57)\/(4\/18 - (-121)\/(-99)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 3 + 17 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 4*d + 366. Suppose -5*o = 2*x - 109, 3*o - x = -0*o + d. What is the greatest common divisor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-30)\/135). Let h(t) be the first derivative of 2 - t**3 + k*t**4 + 0*t**2 + 0*t. Find the third derivative of h(o) wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216231 is divided by 13971.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a decade in years?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 12*k + 8. Let t be x(8). Suppose -3*o - 2*s + 87 = 0, -4*o + 4*s + t = -32. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1002*k - 3997*k + 1477*k - 3114*k)*(-2 + 4 - 3) + (-k + 3*k - 3*k)*(-3 - 4 + 6) in the form j*k + s and give j.\nAnswer: 4633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = -5*t - 16, -5*t = -5*h. Let w = 10 - 5. Let i(q) = q**2 + 29*q + 53. Let r be i(-27). Sort r, w, t in ascending order.\nAnswer: t, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 31. Suppose -744 = -s*o - 5*w, -553 = -3*o - 2*w - 3*w. Suppose 4*k = -2*c + c + o, -2*k + 5*c + 101 = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0234369+-218\nAnswer: -218.0234369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 5. Let n be a(-6). Let t = -11 - n. Calculate the common denominator of ((-294)\/16)\/((-9)\/t) and 3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 366 + -364. What is the third derivative of 4691*b**6 + b**f - 14 - 4589*b**6 + 3 wrt b?\nAnswer: 12240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -397 + 401. Let p = 2.92 - -0.08. What is the third smallest value in m, p, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496434 to the power of 1\/2, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)\/q**(-3\/7))\/(q\/q**0)**1)\/((q**(-1\/2)\/q)**(-3\/17)*q**1\/q*q\/(q**(-1)\/q)) assuming q is positive.\nAnswer: q**(-8693\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n**2 + 500*n + 385. What is j(57)?\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 245*q**3 + 10*q**2 + 7*q - 4. Let r be y(5). Let p be r\/21 + 3*(-8)\/(-84). Let s = p - 994. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 180*h + 203*h - 351*h. Solve -t = -4*n + h*n - 5, 21 = -5*t + 3*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1804*c**3*l**2 + 52*c**3*l - 206*c**2*l wrt l?\nAnswer: 3608*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11301101 + 302123?\nAnswer: -10332312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -573 + 645. Suppose -j = -18*u - 36. Solve -s + 4 = s - u*x, 24 = -2*s - 5*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 604014*k**2 - 15*k - 16. Let a be j(-8). Suppose -26*b - a = 5*b. Round b to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 416?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 439535611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39399168 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 2 - (2 + 13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -2 - (-19)\/(-6). Is z < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4438946468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154 - -191. Let r(f) = 6*f - 195. Let d be r(k). Calculate the highest common factor of d and 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006084 rounded to four decimal places?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4 + 2 - z**3 + 1 - 6 + z**2. Is 13 a factor of k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3382*d**3 - 24*d**2 - 245*d - 218?\nAnswer: 20292*d - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {c: 7, o: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12111 - -2101102?\nAnswer: 2120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = 5. Let r(z) = 18*z**3 - 5*z + 5. Calculate the remainder when r(1) is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404*t + 2597 = -487*t + 93365 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77489292 a multiple of 2045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(-8) + 4\/16. Let m = t + -3. Solve 0 = -2*v + 5*v - w - 1, m*w + 17 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-14 + (4 - -1) + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 28 - 52. Does 28 divide (-10170)\/(-24) + (-1)\/(-4) - n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 2*w**2 - 2*w**2)*(-5*w**2 + 3*w**2 - 2*w**2) - 4*w**2 + 0*w**5 - 2*w**5 + 2*w**2.\nAnswer: -10*w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, -30, -75, -120, -165, -210?\n\"Answer: -45*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 939 = 115*g - 296 - 605. Solve -7*k = -3*k + 2*v + 16, 0 = 4*k + v + g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**4 - 3*c**3 - 6*c**2 - 4*c + 3. Let i(b) = -22*b**4 + 34*b**3 + 66*b**2 + 44*b - 34. Let j(y) = -68*a(y) - 6*i(y). Factor j(p).\nAnswer: -4*p*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12157600 to the nearest one hundred thousand.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144998*a**2*h - a*h + 45465*a wrt a.\nAnswer: 289996*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -v**4 - 79262405*v + 105557455?\nAnswer: -4*v**3 - 79262405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282 - -190. Let c = q - -102. What is the remainder when 27 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 0*q**3 + 3*q**3 - 2*q**3 - 15*q**3 - 2*q**3 + q**3 + 0*q**3 + 0*q**3 + (-4*q - q + 3*q)*(q**2 + 3*q**2 - 3*q**2) - q**3 + 2*q**3 - 2*q**3.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3586\/7 + -511. Let m = 71\/98 + -541\/196. Let o = m + f. Put o, 2\/5, 1 in increasing order.\nAnswer: o, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - 2*x)*(-7*x**2 + 9 - 9).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 31 = -4*j - 3, 4*j + 4*p - 12 = 0. Suppose -2*x = j*w - 59, -w - 3*x - 5 = -2*w. Suppose 0 = -7*t + w*t - 396. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Let k(g) be the first derivative of 2 - 1\/6*g**4 + g**2 + 0*g + 0*g**3. Let z(r) be the second derivative of k(r). Give z(q(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u - 3*j - 5, 0 = 2*u + 4*j + 4. Suppose -9*q + 18 = -6*q. Suppose u*v + q*f - 3*f + 7991 = 0, f = 3. Round v to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 363876*r**3 - 186906*r**2?\nAnswer: 2183256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2327 and 56027?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4 - 1 - 4 + 2 - h**3 + 6*h**2. Let g(b) = 3*b**3 - 17*b**2 + 20. Calculate -6*g(c) - 17*r(c).\nAnswer: -c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408632.9 months in millennia?\nAnswer: 117.386075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -3, 8, -737 in decreasing order.\nAnswer: 8, -3, -4, -5, -737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y + 165 = -27 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 15*c + 3. Let b(o) = 8*o - 2. Let s(q) = 5*b(q) + 3*r(q). Is s(4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 677836?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -31.\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3289 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239850673 to the power of 1\/2, to the nearest integer?\nAnswer: 35212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -244 + 244.4. Which is bigger: -16 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 - 4?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3464 + 306\/(-32 + 14) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.2102093?\nAnswer: -0.8408372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.65 + 16. Let m = r - -0.55. Is 0.1 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37693\/6 (b) 147 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 624a17 - -1?\nAnswer: 624a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3)*(8800\/112)\/55?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3024, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.91 - -40.91. Let g = h + -42. What is the smallest value in -1\/3, g, 35?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 609844 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104165 - -152068. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 12*y - 8. Let m be g(11). Suppose -m*w = -w + 4000000. What is w rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/5)\/p*p\/p**(-16)*(p*p**(-35)*p*p)**(3\/7) assuming p is positive.\nAnswer: p**(94\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 336.2 + -373.2. Which is bigger: 38 or z?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f**2 + 2*f - 4. Let a be x(-3). Suppose -5*l + a = 2*r, 4 = 2*l - 4. What is the derivative of -4*k**3 + 3*k**r - 15 + 0*k**3 - 4*k**3 wrt k?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 + 10*g - 1. What is c(8)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3871 + -1251. What is the remainder when i is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 4 - 4)*(1057*y + 138 - 138) - 6*y**3 + 2*y**3 - y**3.\nAnswer: -3176*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**3\/3 - n**2\/2 - 2. Let j(i) = i**3 + 11*i**2 + 8*i - 1. Let r(b) = j(b) + 6*v(b). Give r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/6)\/((-2)\/(-6)). Let m(l) be the third derivative of l**4\/8 - 2*l**3\/3 - 3*l**2. What is the remainder when 15 is divided by m(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -128, -992, -3302, -7772, -15116, -26048, -41282?\n\"Answer: -119*g**3 - 9*g**2 - 4*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50706 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**2 - 94*p - 42. What is the remainder when 357 is divided by n(15)?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11294 divided by 1374?\nAnswer: 5647\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -14457, -1 in ascending order.\nAnswer: -14457, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 8*b + 5. Let o be j(8). What is the units digit of o + -7 + (6 - 1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 4) to base 12.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.0161 - 0.1321. Round m to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 24*o + 142. Let l be c(8). Calculate the highest common factor of l and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -28*z - 38*z + 6*z - 35*z + 17. Let m be v(-1). What is the highest common factor of 140 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 2 = -11*o. Solve o*p + 2*p - 2*h + 16 = 0, 2*h + 5 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 + 196. Let v(l) = -l**2 - 8*l + 1. Let s be v(-7). Calculate the greatest common divisor of s and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 5*i**3 - 3*i**3 + (i**2 + 3*i**2 - 2*i**2)*(-5*i + 3*i + 0*i) + i**3 - i**2 + i**2 - i**3 - 4*i**3 + 4*i**3 - 237*i**3 + 559 - 559.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3509 = r, 139*r + 3*z - 24509 = 132*r. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -250, -14, 1 in decreasing order.\nAnswer: 5, 1, -14, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 4*k + 3. Let g be y(-4). Suppose c - g = -3*m, 1 + 0 = -4*m - 3*c. Solve -2*r + 0*q + 8 = -4*q, 0 = -3*r - m*q - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 28. Suppose -4*u + 18 = -4*n + 54, -5*u + 11 = 2*n. Let f = n + l. Sort 3, f, -2 in ascending order.\nAnswer: f, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 1, z: 1, h: 1, w: 1}. Give prob of picking 1 z, 1 w, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**4 - 13*j**4 + 2*j**3 - j + 6*j**2 - 3*j + 2*j as v*j**2 + a*j + q*j**4 + s*j**3 + k and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 7*p + 4. Let s be x(-5). Suppose g + 11 - s = 0. Solve 14 - 3 = 5*r - 2*f, -3*f = -r - g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.4, -1\/7, 2, -462, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-13)*(c\/(c*(c**(-1\/3)*c)\/c))**(-22)*(c**(1\/3))**24*(c\/c**(-1\/5)*c)\/c**(1\/9) assuming c is positive.\nAnswer: c**(124\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 160*d - 5943. Calculate r(36).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = -3*u, -3*s = -3*u. What are the prime factors of (0 - 0 - s) + 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 4*z - 1. Calculate i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23739 by -451.\nAnswer: 579\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 272*g - 276*g = 46, z - 4*g - 37 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 279, 489, 897, 1569, 2571, 3969?\nAnswer: 5829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c + 60. Let f(t) = -3*t**2 + 206*t + 4*t**2 - 207*t + 13. What is the remainder when f(6) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3 + 83. Calculate the least common multiple of i\/(-3)*(-144)\/20 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/18*(-3)\/(-2). Let y be (-4)\/(-4 + k + 1). Let m be ((-24)\/(-684))\/(2\/((-18)\/15)). Which is the smallest value? (a) -0.5 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223664 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 707\/35 + 2\/(-10). Suppose -5*j - 48 = -2*u - 5, -u = -j - a. Let g = 8 + u. Calculate the least common multiple of g and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44854, -44857, -44862, -44869?\nAnswer: -44878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4172 + 2.4842. Let h = -0.067 + i. Sort 1, h, -0.5 in ascending order.\nAnswer: -0.5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*x**3\/3 + 305*x**2\/3 + 256*x\/3 + 52\/3 = 0. What is x?\nAnswer: -2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 1.5506719?\nAnswer: 13.5506719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.66 + 0.86. Sort -0.3, -1, x in decreasing order.\nAnswer: x, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28.1 at most 205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:31 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/15 - x**4\/6 + 2*x**3\/3 - 700*x**2. Let y(b) = -b**2 + b - 1. Determine j(g) + 5*y(g).\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27332 - 27331.966891. Round o to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -4*w + 148. Let n be w\/(-182) + (-2)\/(-13). What is the closest to n in -5, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3844245833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from kkkkkkkkskkksks.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - j + 127. Suppose -5*m = 4*a + 15, -3*a + 12 = 5*m + 27. Is q(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -243? (a) 2\/13 (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 + 139.58. Let n = q + 1.52. Let b = 1.05 + -0.05. What is the biggest value in n, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(4))\/sqrt(12) - (sqrt(5) - sqrt(20)\/(sqrt(64) - sqrt(4))).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 2*y - 1. Let g(n) = -n**3 - 19*n**2 - n - 17. Let r be g(-19). Give m(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -4.5?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-135)\/(-9)*1\/(3\/(-13)). Let v = 108 + s. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 65, -4, -56, 3 in increasing order.\nAnswer: -56, -4, -3, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4*(-4012)\/(-51). Which is greater: 2\/9 or n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237 + 94*a + 100*a - 192*a to r + s*a and give r.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 4*l. Let q be m(-3). Let y = 20\/21 - 22\/21. Let f = -4.9 + 4.8. Which is the closest to f? (a) q (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639127.\nAnswer: 31, 53, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arradtrrq. What is prob of picking 1 q and 2 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4*v + 116 = 10*m, 75 = 3*m - v. What is the smallest value in m, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12153 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 - 7 = 0. Find the third derivative of 4*b**3 + 14*b**6 + 13*b**2 - 4*b**3 + 8*b**u wrt b.\nAnswer: 2640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 - -4?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)**(-1\/10)\/(m**(2\/7))**12)**(-29) assuming m is positive.\nAnswer: m**(3683\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 11 - -4) + (-10 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 2*x**4\/3 - 5*x**3\/3 + x**2. Let i be (-6)\/(-9)*9\/2. Let n(d) = 3 - 24*d - 3*d + 22*d. Calculate i*m(y) + 10*n(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14364035 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -69. Suppose 13*v + d = 18*v. Let z(c) = 2*c - 5. Determine z(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*n = -24, -n = -5*q - 2*n + 12. Let y be 2\/(1 + 5) + 5\/3. Suppose -q*g - y*g = -125. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3221167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:28 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -45. Suppose -2*c - 3*g + a = -g, -4*c + 71 = 3*g. Solve 2*m = -4*s - 20, -4*s - m = -6*m + c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(15)\/sqrt(5))**2 + -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/3 + 64*z**4\/3 - 48854*z**3\/3 + 97508*z**2\/3 - 16240*z = 0. What is z?\nAnswer: -174, 0, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49767454 to the power of 1\/2, to the nearest integer?\nAnswer: 7055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 8. Let y(x) = x + 19. Let d be y(-13). Let a be l(d). Suppose -2 = 2*s + 6. Sort s, 5, a.\nAnswer: s, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 29658176?\nAnswer: 266923584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720764 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.254 + 0.246. Sort 6\/13, p, 5 in increasing order.\nAnswer: 6\/13, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 21. Let z be f(10). Suppose 3*u - 2 = 5*c + 3, -10 = -2*c. What is the remainder when u is divided by ((z - -39)\/(-5))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 54*x**2 - 9*x**2.\nAnswer: -68*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1617*w - 4 + 0 + 2098*w + 7083*w + 1.\nAnswer: 7564*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/945 and -97\/210.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-7))**(20\/3))**33)**(-2\/3) assuming r is positive.\nAnswer: r**(3080\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 15. Let v = 1 + n. Suppose -f - 150 = -v*f. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 24085, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/5, -8\/7, 0.06, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - a + 0 + 0*a + a - 2*a + (a - 3*a + 3*a)*(-2 + 0 - 1) + 0*a - a + 2*a + a - 2 + 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4145 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45957701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = 3*o - 5*o - r, 3*o - 717 = -2*r. Let w = o - 44. List the prime factors of w.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 369111 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1016 and 0.08054.\nAnswer: 81.82864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 64, 70, 40, -38?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3055*w + 3045*w - 27 = -x, -w = 4*x + 97 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-11)\/((-88)\/180))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-4)\/8) - -53. Suppose -b = 4*o - 9*o. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102945.\nAnswer: 3, 5, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 173*n**7\/35 + 457*n**4\/24 - n**3\/6 + 769*n**2. What is the second derivative of p(u) wrt u?\nAnswer: 12456*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*v + 2*r - 0*r, -5*v + r - 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27637537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 302068 divided by 13\nAnswer: 23236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4241748 or -4241540?\nAnswer: -4241748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 18 = 3*b. Let q be (-9)\/18 + (-18)\/(-4) - 0. Suppose -q = -j + 17. Solve -b = 4*o - j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Suppose -8*t - 45 = -45. Solve -y*p + 10 + 15 = t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7 - s + 0*s**2 + 0*s**3 - 5*s**2 - s**3 + 6*s. Let o be y(-6). Let w(p) = 2*p. Let r(u) = -u. Calculate o*r(b) + 6*w(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*a = 376*a - 49*a + 1652. Let k(t) = t + 23. Calculate k(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12210321112 + 1?\nAnswer: 12210321113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 3*u)*(-2*u - 3 + 3).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895*a + 22296 - 76027 - 23343 = 29*a for a.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -813.62638 to 1 dp.\nAnswer: -813.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = 2*f, -f - 4*f + u = -21. Let h(z) = -z**3 + 5*z**2 - 3*z - 6. Give h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14841.5 + 14842. What is the second smallest value in -3\/8, s, 6.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 88, 131, 174, 217, 260?\n\"Answer: 43*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 8039 (c) -4 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4*a - 22734 = -22902 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(1 - -2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 256705.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.9 (b) -2.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13617 divided by 801\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b + 120. Suppose -2*c + b = 6*c. Solve 5 = 4*u - l, 10 + 1 = u + c*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2815540 minus 78?\nAnswer: -2815618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*o - 3 - 50, 0 = 4*o - t - 56. Let y = o + -9. Put -11, 1, y in decreasing order.\nAnswer: y, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**(-1))\/m))**(-1\/27)\/(m**(-1\/3))**(-11\/4))\/(m**6\/m*m\/(m\/m**(2\/9)))**(3\/17) assuming m is positive.\nAnswer: m**(-3511\/1836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 210 = 56. Let a(w) = -17 + w**3 - 8 + 14*w + 10*w**2 - 2*w**3 + 0*w**3. What is the lowest common multiple of 8 and a(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-40))\/((-2)\/4)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13230 + 3?\nAnswer: -13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.4597 + 33.358. Let r = 52 + -56.1. Let f = n - r. What is f rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, 24 = 7*l - 3*l + 5*j. Let d(o) = o**3 + 18*o**2 + 70*o + 7. What is the lowest common multiple of l and d(-11)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9224 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.55 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Let g = -9 - -15. Is g > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 272 = -o, 4*y + 4*o = 3*o - 358. Let t = y - -96. Calculate the remainder when 10 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*o**2 + 332*o**4 - 161*o**4 - 164*o**4 + (4*o + 2*o**3 - 4*o)*(2*o + 0*o + 0*o).\nAnswer: 11*o**4 - 30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4 + 28*s**3 + 38*s**2 - 252*s - 261 = 0 for s.\nAnswer: -3, -1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 9:15 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**5\/20 - s**4\/2 + s**3\/6 - s**2 + 12*s - 59. Let v(j) be the first derivative of a(j). Give v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let f(k) = 113*k - 91*k**2 + 114*k - 227*k. What is z(f(r))?\nAnswer: -182*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = t + 1, 2*t - 10 = 0. Let f(q) = -q**3 - 2*q**2 + q. Let p be f(u). Let s = p - 3. Solve 3*b + 3*y = -24, -s*b + y - 10 = 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/60)\/(7\/(-30) + 6\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 + 4*i**2 + 11*i - 4. Let h(v) = 35*v**3 + 49*v**2 + 133*v - 49. Let s(n) = 4*h(n) - 49*m(n). What is the second derivative of s(r) wrt r?\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 9*q - 9. Suppose j + 1043 = 3*m, q*j - 347 = -m + 3*j. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045752 < 1045755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 - 2*u + (1 - 1 - 2)*(-12*u - 6*u + 5*u))*(6 - 5 - 11) in the form w + h*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*n - 162. Let q = -41 - -57. What is the remainder when q is divided by (4\/6)\/(4\/n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.15 and -424192.\nAnswer: -424192.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6308*z**3 - 12. Let a(l) = -132475*l**3 + 250. Give -6*a(c) - 125*k(c).\nAnswer: 6350*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o**2 - 2*o. Let z(n) = -4*n**3 - 6*n**2 + 7*n - 1. Let u be z(-4). Let l(q) = 71*q**2 - u*q**2 + 70*q**2 + 2*q. Calculate 6*l(s) + 7*v(s).\nAnswer: -3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {z: 1, a: 5, g: 1, m: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-45724)\/(-6) - (-4)\/3.\nAnswer: 2, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1924 + 1929. Solve 4 = -4*f, 5*f = -3*j + j + t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.166 and 9.\nAnswer: -1.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 370096, 370106, 370116?\n\"Answer: 10*s + 370086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 5*b**2 - 3. Let m be x(-5). Let u = 11 - m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6389\/28710 + 1\/3190. Let g = -9.7 - -1.7. Let o(h) = h**3 - 8*h**2 + 7*h + 4. Let t be o(7). Sort 2, t, q, g in ascending order.\nAnswer: g, q, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894 a factor of 140885190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 + -58. Suppose 0 = 4*n + b + 7. Is 14 a factor of ((-20)\/(-15))\/((-1)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 37. Suppose 4*g + 249 + 67 = b. Let f = -69 - g. What is the smallest common multiple of 16 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + -25 + 10 + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798190.\nAnswer: 2, 5, 19, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -419646, -391 in descending order.\nAnswer: 0, -4, -391, -419646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from pzzskqqap?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:39 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -682 + 104344\/153. Let i = 112 - 112. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127305 divided by -123?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25.6*-18.859\nAnswer: -482.7904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 19. Suppose -5*y - 4*p = -223, -4*y - n*p - 55 = -235. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 + n + 19. Let j = 13 + -21. Is c(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380911 is divided by 1380883.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(3\/10))**(-2) assuming d is positive.\nAnswer: d**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -29*y + 27. What is the hundreds digit of s(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 2. What is the remainder when h is divided by (-3)\/(-9)*(-2 - -35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 31*t - 273. Is b(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**7\/5040 + l**6\/180 + l**5\/5 + l**2. Let r(c) be the third derivative of v(c). Give r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 6*b**2 + 8*b - 7. What is the units digit of d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*n + z + 42, 6 = 2*z. Let y be 2\/(-11 - n) + 3*1. Put y, 17, 0, -2 in descending order.\nAnswer: 17, y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-20))\/((-81)\/45 - -2). Which is the closest to 3? (a) -0.3 (b) r (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a91 - 4?\nAnswer: -1a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.557 and -461.\nAnswer: -460.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 20. Determine d(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 226634.1 milligrams?\nAnswer: 226634100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + (-13 + (10 - 10) - 21)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -383*y**2 - 2*y + 5. Let k be p(-7). Let t be k\/(-22) - 8\/44. Let a = 1319 - t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -62. Suppose -3*h = -z*h. Suppose c = -5*r + 19, 2*r + 3*c = -2*c + 3. Solve -3*o = 5*l - r - 3, 3*l + 3*o - 9 = h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2 = 4*t - 50, -4*v = -t + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 2, 1 in decreasing order.\nAnswer: 23, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**3 + d**2. Determine q(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*g + 37*g + 90 = -81*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274213?\nAnswer: 274213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 - 103712*q - 672261184 = 0. What is q?\nAnswer: -12964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(3*sqrt(78) + sqrt(78)) - sqrt(78))\/(3*sqrt(486)))**2.\nAnswer: 325\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - y + 6*y = 6, 5*q = -2*y + 10. Let z = -128 + 224. Suppose -g = -7*g - z. Which is greater: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -14*r + 2221. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 77*r - 176*r + 24*r - 823. What is s(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 4*w - w**3)*(4*w - 6*w + w) + w**4 + 3*w**4 - 2*w**4 + 3*w**4 - 4 + 4 + 0*w**4 - 3*w**4 + 4*w**4 - 73 + 73 - 76*w**4.\nAnswer: -69*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**5 - 25 + 8*b**4 + 25 + 3*b**5 + b**5 - 3*b**5 + (-b + 1 - 1)*(-3*b**4 + 3*b**4 - b**4) + 0*b**4 + 0*b**4 + b**5.\nAnswer: -4*b**5 + 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 351\/20 or 18?\nAnswer: 351\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/13, -9, -5, 2\/15, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 9*m + 8*m - 24*m + 15*m + 0*m.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnsqaaqannnnaaqan. What is prob of picking 1 q, 1 a, and 1 n?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 1. Let n(x) = 8*x**2 + 5*x + 3. Let o(b) = n(b) - 2*u(b). Let s(a) = 6*a - 77 + 7*a**2 + 154 - 76. What is 6*o(w) - 5*s(w)?\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (74\/(-6))\/((-3)\/9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2) + 0)*2. Let w = 0 + 0.4. Which is the nearest to s? (a) w (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 114. Let n(h) = 57. Let l(o) = -4*n(o) - 2*r(o). Let v(d) = -63*d**2 + 12*d. What is l(v(t))?\nAnswer: 252*t**2 - 48*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5029 + -4966. What is the lowest common multiple of j and 648?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 328*m**3\/13 + 3030*m**2\/13 - 3358*m\/13 = 0. Calculate m.\nAnswer: -1679\/164, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 9*n**2 + n + 10. Let c be p(-9). Let q(o) = 2*o. Let t be q(c). Is 2 != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 23*h**2 - 11*h - 13. Let i be m(11). Let d be 4\/(-4)*3 - i. Let c be ((-13)\/d*4)\/(-2). Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123440 (base 5) to base 10\nAnswer: -4870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 12*z - 28. Let p be m(-9). What are the prime factors of (424 + p)\/3 - 1?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:16 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 10. Let y = -6 + u. Is (-634)\/(-8) + y\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1698 + 2?\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3336665 decades?\nAnswer: 3.336665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 555 and 2895.\nAnswer: 107115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -2.169\nAnswer: -2.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5 + 38*l**4 - 92*l**3 - 164*l**2 + 90*l + 126 = 0. Calculate l.\nAnswer: -21, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 10623.76 nanograms?\nAnswer: 0.01062376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, and 1 r when three letters picked without replacement from {r: 1, b: 9, e: 2, v: 2}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 277*o. Let q(f) = f**3 - 134*f. Calculate -7*q(u) + 4*v(u).\nAnswer: -3*u**3 - 170*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/600084 and 173\/75960?\nAnswer: 6000840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34e + 228c9?\nAnswer: 22c17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -19*x**2 - 1\/110*x**5 - 2\/1155*x**7 + 1\/33*x**3 - 1\/132*x**4 + 0 + 0*x + 1\/132*x**6. Find f such that l(f) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 - 4*o + 4. Let q be p(-5). What are the prime factors of q\/60 - 1254\/(-15)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 37 = 4*k - 136, -4*k = f - 57. Let g(y) = 15*y - 239. Calculate g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126785690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 - -89. Suppose -2*y + k*t = -1828, -4*y = 107*t - 104*t - 3656. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 0 + 34\/11*u**3 + 2\/11*u**4 - 2016\/11*u - 48\/11*u**2 = 0.\nAnswer: -12, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18682)\/((-18)\/4 - 651\/(-186)).\nAnswer: 2, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -3\/5, 42?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 683, 1001, 1299, 1571?\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (8 - 11)) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22239 by 5.\nAnswer: -22239\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -8*h**5\/7 - 1615*h**4\/7 - 6175*h**3\/7 - 7340*h**2\/7 - 396*h = 0.\nAnswer: -198, -2, -1, -7\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, e: 2, s: 2, m: 2, u: 4}. Give prob of picking 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 58*c**3 - c. Let l be a(-1). Let p = 229\/4 + l. Let y = -6 - -5.7. Sort 0.1, y, p in decreasing order.\nAnswer: p, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w, 0*s + 16 = 4*s + 4*w. What is the units digit of (s - 32\/4) + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:16 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 1 = -14*a. Solve -a*p = -p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*z**5\/9 - 28*z**4 - 478*z**3\/9 - 24*z**2 = 0. Calculate z.\nAnswer: -1, -4\/5, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10998702 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(500)\/sqrt(10))\/(3*sqrt(1210)).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k - 2. Let v(g) = -6*g - 3. Let i(j) = 6*v(j) - 5*x(j). Suppose 0*c = -5*c - 2*s - 66, c + s = -15. Let m be i(c). Solve m*q - 25 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -809365854 minus -1004?\nAnswer: -809364850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from {c: 1, v: 2, m: 2, j: 1, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -22*j - 98. Put -4, 0, j in descending order.\nAnswer: 0, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-23 - -8) + -28 + 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*c + 13, -2*w + c + 23 = 6. What is the smallest common multiple of 9 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 + 14*p + 5. Suppose -24 = 8*q - 5*q. Let z(x) = 5*x + 4. Let a(o) = -o**3 - 1. Let j(i) = 2*a(i) + z(i). Give q*j(d) + 3*w(d).\nAnswer: -2*d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*y - 167*y - 33*y)*(y + 3*y - y).\nAnswer: -837*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1525 + 2?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(99) + 0) + sqrt(99) + 6*(sqrt(99) + sqrt(99) + sqrt(99)*-2) + 1 + ((sqrt(99) - (sqrt(99) + sqrt(99)*2))**2 - sqrt(99)) + 3 + 4.\nAnswer: 3*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 30 + -4 + (-2 - 3 - -3) - -8?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 524*z**2 + 16*z + 35. What are the prime factors of m(-2)?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5422 + 5459. What is the remainder when 441 is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 394.9999787 - 395. Round p to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(0*d - 4 + 3 - 8*d) to s + t*d and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 2:53 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -67*c**2 - 3*c - 5. Let z(w) = 34*w**2 + w + 2. Give -3*f(a) - 7*z(a).\nAnswer: -37*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181 - 178. Let b(s) be the third derivative of 1\/6*s**c - 3*s**2 - 1\/12*s**5 + 0 + 0*s**4 + 0*s. What is the derivative of b(i) wrt i?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + q - 1 = -0, 0 = j - 5*q - 19. Let o be (-1)\/((-59)\/15 + j). Let b = o - -17. Solve -4*n - v - 2 + 9 = 0, b*n - v + 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2036077 and -0.177?\nAnswer: 360385.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*s**3 + 8*s**3 - 4*s**3 + 6*s + 10*s wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123650 a multiple of 454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0164767614 to five decimal places.\nAnswer: -0.01648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86090666*k**3 + 86245133*k.\nAnswer: -516543996*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7342518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-48)*-2 - (-1)\/(-3)*12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/5 + 618*k**2\/5 + 14184*k\/5 + 5184.\nAnswer: 3*(k + 2)*(k + 24)*(k + 180)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10186 - 5*q**2 + 32*q**6 + q - 10186 wrt q.\nAnswer: 3840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 91756 (b) -2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -37*w**3 - 9064*w**2 + 248*w + 245. Calculate v(-245).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/2*(-13)\/((-390)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 2. Let b(m) be the second derivative of -8*m**4 - 39*m**2\/2 + 105*m. Determine -117*a(q) - 6*b(q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-5)\/9)*8\/6. Let p(k) = -12*k - 4*k**2 + 10 - 4*k**2 + 0*k**2 + 9*k**2. Calculate p(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 35*n**3 - 35*n**2 - 75*n - 45. Let p(k) be the second derivative of k**5\/10 - k**3\/6 - k**2\/2 + k + 185. Let z(a) = 20*p(a) - q(a). Factor z(l).\nAnswer: 5*(l + 1)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4 - 1180*p**3 + 69620*p**2 = 0. What is p?\nAnswer: 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.637\nAnswer: -1.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.6 + 22.6. Let q = -101 + 504\/5. What is the closest to 2\/7 in 3, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 5*j**2 + j - 5. Give c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 4. Let w be m(7). Suppose 2*l + 1 = w. Suppose -l*z = 3*f - f + 14, 2*z + 8 = -2*f. Let d(s) = -s**2 + 1. Calculate d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -10. Let q = 12 - t. Calculate the least common multiple of q and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1214 divide 38079302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*c - 291*c + 1127*c - 284*c - 286*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43206374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 4*d = -1157056. Suppose 448256 = -g - d. Let a = -19092888 - g. Round a to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197742722 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 14 - 60)*(0*g + 2*g - 4*g) - 16*g + 36*g - 13*g in the form u*g + c and give u.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (345\/(-46))\/((149\/1043)\/((-4)\/14))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 55 = -r, -5*m + r - 56 = 4*r. Let t = 6 - m. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3418*q = 3*k + 3407*q + 17, 0 = 4*q - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708014, 708016, 708020, 708026?\nAnswer: 708034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-1 - (-240)\/16. Suppose 12 = 17*j - i*j. Put 1, -2, j in descending order.\nAnswer: j, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 1 + 1)*(-8 - 33*j + 8 + (1 + 0 - 2)*(j - 2*j + 2*j))*(-1 - 3 + 1) to the form k*j**3 + d + a*j + s*j**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-22)\/(a\/(a\/a**(-3\/19)))*a**(-3)\/(a\/a**33) assuming a is positive.\nAnswer: a**(136\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {n: 3, p: 4, j: 2, t: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -3*j**2\/2 + 9. Let y(s) = -4*s**2. What is h(y(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*p**3\/4 + 3933*p**2 - 10452*p + 6960.\nAnswer: -3*(p - 580)*(3*p - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59954695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42.17766m?\nAnswer: 42177660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Let n(g) = -3*g + 31. Suppose -2*f - 2*c + 26 = 0, 16 - 62 = -4*f - 2*c. Let m be n(f). Put j, -1, m in decreasing order.\nAnswer: m, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38391.\nAnswer: 3, 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 7*y = -168. Let f(h) = h**2 - h + 8. What is the least common multiple of y and f(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -82. Let q = 91 - o. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-1218)\/32) + 92\/(-1472)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1039, -2902, -4765, -6628?\nAnswer: -8491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -38*y**2 - 585*y - 2364. What is n(-4)?\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33 + 112*l + 11 - 48 + 4*l**2 + 112.\nAnswer: 4*(l + 1)*(l + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21743160 or 21743157?\nAnswer: 21743160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 3. Let a(t) = 5*t - 2. Let k(u) = 27*u - 10. Let h(i) = -11*a(i) + 2*k(i). Suppose -3*s + 12 = -6*s. Calculate s*h(x) + 3*m(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36 + 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 = 88*a - 116*a - 1161 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + q)*(7 + 7*q - 7)*(-1571 - 1853 - 161 - 1830 - 2815).\nAnswer: 57610*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + -45. Let j be -2*(r - 8\/2). Round j to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -33. Let v(i) = 2*i**3 + 0*i**2 - 8*i**3 - i**2. Let z be v(-1). Solve -l + 0*f = z*f - b, -5*f + 7 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgi when three letters picked without replacement from xxxiigxxwxxwxchxxxw?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21668 + 37739 = -485*x + 19152 for x.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -21 + 103 + -9 - (-2 + -6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/343 and -74\/441.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 148\/28 + (-4)\/14. Let f(u) = 2*u - 11. Let b(x) = x - 6. Let y(d) = -5*b(d) + 2*f(d). Determine y(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 118932 divided by -844\nAnswer: -29733\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j - 1 + 11*j + 410*j**2 - 379*j**2 + 1085*j**2.\nAnswer: 1116*j**2 + 24*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23881597.9800271 - 23881596. Let b = k - 1.98. Round b to six decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5750.274ml to litres.\nAnswer: 5.750274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.075 - 0.225. Let d be ((-21)\/28)\/(2\/(-32)). Which is the nearest to -5? (a) 3 (b) z (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 579*z**2 + 932*z - 72007. Calculate t(144).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 7*l - 6. Let k be m(-9). List the prime factors of ((-8)\/(-6))\/(k\/198).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1632, -0.035, -0.4 in increasing order.\nAnswer: -0.4, -0.035, -1\/1632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 88, 98, 122, 166, 236?\n\"Answer: b**3 + b**2 + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -174bb5 (base 12) in base 16?\nAnswer: -624b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + 2. Calculate the remainder when s is divided by -5 + 1 + 25 + -3 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5682725?\nAnswer: 5, 23, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1693795 or -1693784?\nAnswer: -1693784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 2. Suppose 5*k - 3*k = 8. What is the remainder when t(-3) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Suppose d - 5 = -3*l, -l - 2*l - 4*d = -20. Solve l = -v*t + 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54.1 * 0.07\nAnswer: -3.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-2 - 1 + 1)*(-5*n - 12*n - 40*n)*(-3 + 1 + 3).\nAnswer: 228*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -31. Let b = q - -18. What is the units digit of 1866\/36 - b\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 + 7*q - 6. Let j be n(-6). Is 1\/(-2*(-2)\/j) - -194 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + v)*(3*v**3 - 3*v**3 + 4*v**3)*(0*v + 5*v - 3*v).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -101?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 + 3\/3. Let k = -20982 + 20998. Solve -k = -4*l, 22 = f*q - q + 4*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 179\nAnswer: -35.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56\/93 or 0?\nAnswer: -56\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1*5 + (sqrt(1584) - sqrt(1584)*3) + sqrt(1584) + -3 - 2*(3 + 2*(-1 + sqrt(176))))**2.\nAnswer: 880*sqrt(11) + 85209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -88750672 and -6?\nAnswer: 88750666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23125176 is divided by 555.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((432\/(-105))\/(-18))\/(284\/(-2982)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -39*x - 49. Let i(z) = 16*z + 26. Let l(n) = 5*i(n) + 3*q(n). Give l(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39302*o - 34464?\nAnswer: -39302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + (sqrt(1053) + 0 - sqrt(1053)) - (sqrt(1053) + -1 + -3) - (-3 + 2*sqrt(1053)*-3 + 4))*2)**2.\nAnswer: -9000*sqrt(13) + 2632600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.4. Let m = f - 0.61. Let z = -3.88 + -0.12. Which is the biggest value? (a) m (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p - 5*p = -558 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, z: 1, t: 4, m: 2}. What is prob of sequence wz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x + 1. Give o(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*t + 4. Let f be -91 + (t + -2 - 1). Let o = f + 141. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49758.5 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2099 - -4182. Let r(d) = 658 + 694 - 6*d + 686 - f. Let x(j) = j. Give x(r(w)).\nAnswer: -6*w - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 125*z - 9*z**4 + 264*z - 141*z in the form y*z + t + j*z**4 + i*z**3 + w*z**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 125914518.\nAnswer: 125914516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as 2.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-10)*35\/(-2). Is -4 + a\/(-1) + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000000 + -100?\nAnswer: 110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/225 and 37\/435.\nAnswer: 6525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -15 (b) -46.7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 311*r - 18464. Give c(231).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-3 + 5 - -1) + 18. Suppose -6 = -2*f + 4. Solve k + f*i - a = 0, 2 = -2*k + 4*i + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 11 + 3 + 8*x**3 - 6 - 2*x**3 + 2.\nAnswer: 2*x**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1961225 divided by -1.\nAnswer: 1961225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4560494.\nAnswer: 2, 19, 43, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -60*p**2 + 3*p - 2. Let a(q) = -119*q**2 + 5*q - 4. Give 4*a(j) - 7*m(j).\nAnswer: -56*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 51.5\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388 + 390. Let d(c) = -2*c + 8. Determine d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3002 - -3?\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 2, -5, -26, -67, -134?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12933, -12937, -12941, -12945, -12949?\n\"Answer: -4*b - 12929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7*f + 3*f + 24 = 0, 4*z + 14 = 2*f. Let q be (-5)\/(315\/27)*(-21)\/60. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z**3 - 11*z**2 - 4*z - 1. Let r(j) = -16*j**3 - 22*j**2 - 9*j - 2. Let s(t) = -5*f(t) + 3*r(t). Is s(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56743 and 7291.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8480?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 43875 divided by -15188\nAnswer: -43875\/15188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 2. Let h be f(2). Suppose 0 = -5*v + 5*b + 232 - 647, 4*b = v + 77. Let r = -85 - v. Solve 5*s - h*q + 15 = r, -s - 3*q = q + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3333022113 (base 4) in base 11?\nAnswer: -654260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**4\/12 + t**3\/3 + 8*t**2. Give r(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23468*p**2 + 11763*p**2 + 11688*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2043, 2147, 2253, 2361, 2471, 2583?\n\"Answer: l**2 + 101*l + 1941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 629, 1260, 1891, 2522, 3153, 3784?\n\"Answer: 631*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 442904953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 8:38 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2899a (base 11) to base 4.\nAnswer: 12103032312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 17*l**2 + 6*l + 6. Let a(u) = -u**2 - u - 1. Give -6*a(c) - q(c).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/7, -57523?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 41322966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.8. Let r = v + 1. Let l = 684 + -684. Which is the closest to l? (a) r (b) -4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 9. Let a(l) = 8*l**2 - 95*l - 7. Let g be a(12). Suppose -i = 3*i + 8. Let z(w) = w - 4. Give g*z(o) + i*x(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514610, -515113, -516478, -519137, -523522, -530065?\nAnswer: -539198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15599042 is divided by 588.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66689406 a multiple of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 2431478 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 10*u + 5. Let n be z(10). Suppose n*l + 11 = -2*s + 2, 0 = -5*s + 3*l + 24. Suppose 4*v - 142 = -2*m, 2*m - 4*v + 65 = s*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31 (b) 25382\/9 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 + 6 = 2*t, t - 2*r + 2 = 0. Is 50 a factor of -2*(-75)\/t*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -841553?\nAnswer: 841566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -24. Let x(y) = -43*y + 1. Suppose -4*i + 5*v + 6 = 0, -2*v - 13 + 10 = -i. Let t be x(i). What is the greatest common divisor of z and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 1, 71, -0.6, 11\/10?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + -2.94. Let k be (-1 - (-25)\/10)*5\/(-15). Which is the smallest value? (a) k (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:10 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -105. Let i(n) = a + 2*n - 2 - 4 + 3. What is i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 19*h**2 + 44*h + 486. Determine v(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 26*o**2 - 29*o + 8. Let n be r(27). Let f(m) = m**3 - 4*m**2 - 9*m + 8. Let z be f(7). Let g = z + n. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.179 and 143934.\nAnswer: -313632.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6 + 15 - 46*g**2 - 12*g + 47*g**2. Let d be s(10). Is d <= 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -31\/3, 5, 4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 0.38973448.\nAnswer: 0.08973448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-904)\/21696)\/(9\/24).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -20 + 25 + -29.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a kilogram in grams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-4)*s)\/s)\/s*s*(s**15*s)\/s*s)\/((((s*s**(-16))\/s)\/s)\/(s*s**(1\/21)*s)) assuming s is positive.\nAnswer: s**(694\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 90058 and -9.\nAnswer: -810522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12471850 rounded to the nearest ten thousand?\nAnswer: 12470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9108936 and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404884796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 22 + 2*b**2 - 8.\nAnswer: 2*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25965286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16360 + 16549. What is the highest common divisor of 5373 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - y - 11 = 0, -4*y + 15 = 27. Find the third derivative of -2*j + 127*j**5 + 170*j**l + 122*j**5 + 2*j - 2*j**4 - 242*j**5 wrt j.\nAnswer: 420*j**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 19*v + 7278. List the prime factors of l(-75).\nAnswer: 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in 3, -2, -875?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 30*d + 30 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70257420 and 135.\nAnswer: 210772260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 47 - (-337 - -317) - -13\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9198074 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(((y**11\/y)\/y*y)\/y))\/y)\/((y**(-3)\/y)\/y) assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-16))\/((-16)\/128). Suppose 19*m + i = 18*m. Let r(a) = a**3 + 6*a**2 + a - 7. Determine r(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1562742124.\nAnswer: 2, 390685531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74.83 + -0.17. Let n = h - -75.0037. What is n rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -9 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 8*b**2 - 4*b - 7. Let i be d(6). What is the third derivative of -i*f - f**2 + 41*f - 5*f**5 wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 61. Let d be (-1)\/5 + l\/10. Let m(t) = -t**3 - 2*t**2 - 4*t - 3. Does 9 divide m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 9*w**2 + 15*w + 13. Determine z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 656360 and 4270?\nAnswer: 4594520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 57\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let r(g) = 307587*g - 16308. Let o(l) = 453*l - 24. Let i(y) = -2718*o(y) + 4*r(y). Determine i(j(k)).\nAnswer: -906*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 5211 (b) -1\/10 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1, -0.06, 5\/3, -1\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8*w + 1 + 0.\nAnswer: -8*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 2, r: 2, t: 4}. Give prob of picking 1 t and 1 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 + -78. Which is the closest to -1\/2? (a) -1 (b) q (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 107 = -3*m. Calculate the common denominator of 0 + (72\/m - 0) and -32\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-16)*m\/(m*m\/m**6)*(m\/m**18)\/(m**(-4)\/m*m) assuming m is positive.\nAnswer: m**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - -1 - (4 + (-7 - -6)). Suppose -94 = -4*u + 98. Suppose -4*y + u = 3*j + y, a = -4*j + 5*y + 64. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 88928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3586007 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**3 - 2*r**3 - 3*r**3 - 9*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -27*y - 19. Let l(s) = -28*s - 19. Let v(o) = 6*b(o) - 5*l(o). Suppose 2*g = 2*f + 12, -6*f + 2*g - 20 = -2*f. What is the units digit of v(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from nznddzdd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**18)**(2\/9))**(-49) assuming q is positive.\nAnswer: q**(-1862\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 8*p**2 + 27*p + 84. Determine a(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5254*p - 20. Let b(f) = -2627*f - 12. Determine 5*b(c) - 3*w(c).\nAnswer: 2627*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 + (-5240)\/(-12). Suppose 7*y - 250 = d. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/25*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8841 + -8841.4. Sort 4, n, 9, 1\/52, 0.5 in descending order.\nAnswer: 9, 4, 0.5, 1\/52, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46032 and 585264.\nAnswer: 4096848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17713\/476 - -261\/7. Let y = 3\/17 + j. Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7 - (5 + (-73758)\/5950)) + 2\/(-7) and -11\/5.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aee when three letters picked without replacement from {l: 5, e: 7, a: 1}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -234716*l**3*y**2 + l**3*y + 396*l**3 - l**2*y**2 - 66761*l**2*y + 610*y**2 wrt l?\nAnswer: -1408296*y**2 + 6*y + 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, k: 5}. Give prob of sequence kfkk.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 5, y: 3, g: 4}. Give prob of picking 1 h and 1 b.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 85, -4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*f**3 - 37466*f**2 - 10573639*f + 3024098.\nAnswer: (f - 5621)*(f + 269)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 10*u - 10 = 0. Let p(c) = -c**2 - 3*c + 15. Let t be p(u). Which is greater: 13\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n + 20. Give g(-15).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 37 = 4*c, -p + 19 = 2*c - 10. Suppose c*t = 14*t - 98. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835.03625 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 31*a**2 + 34*a + 49. Let l = 17156 - 17188. Calculate d(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(8\/8208 - 0) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -396.\nAnswer: -4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/4, 0.1, 1\/5, 2\/17523, 2\/3?\nAnswer: 2\/17523","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 10*z**2 + 4*z - 3 + 2 - 29*z. Let f be w(-6). Solve 2*p = 5*b + 29, -b + 0*b = f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 3:25 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z + 6\/13*z**2 + 32\/13.\nAnswer: 2*(z - 8)*(3*z - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 + 8*q - 6. What is the units digit of y(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + -2. What is the units digit of (-50)\/p + 309\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.2. Suppose -684417*s + 272 = -684281*s. What is the fourth smallest value in -0.2, 0.4, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r = -96*r + 684 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-2*t + 2*t - 3*t) + (1 - 4*t - 1)*(-31 - 37 - 52).\nAnswer: 483*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 370*d - 736.\nAnswer: -(d + 2)*(d + 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -10. What is the smallest value in z, -2, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 9346\/625 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*b = 109*b + 18. Let o = 14 + -7. Suppose i - 30 = -4*v, 2*i - 3*v - 56 = -o*v. What is the smallest common multiple of b and i?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 360.49293 milliseconds?\nAnswer: 0.000000596053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(288)\/sqrt(4)) + 1 + -2*sqrt(7) + -3.\nAnswer: -11*sqrt(7)\/6 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 - 7*o + 7. Let n = -259 + 264. Let v(l) = -4*l**2 + 5*l - 5. Let t(c) = n*k(c) + 7*v(c). Let a(f) = -31*f. Calculate a(t(j)).\nAnswer: -62*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -33. Suppose 3*y = 2*x - 5*x - 9, c*x = -3*y - 5. Solve x*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j + 2*j**2 - 12*j - 469*j**4 - j**3 + 2*j to d*j**4 + l + u*j + h*j**3 + g*j**2 and give d.\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve h + 6 = -y, -3*h - 81*y = -76*y + 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1900) + 1))**2*5*5.\nAnswer: 18000*sqrt(19) + 1710900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/156989 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**8\/28 - 43*r**7\/42 + r**4\/6 + 2*r**3\/3 + 9*r + 2. Find the third derivative of h(d) wrt d.\nAnswer: 240*d**3 - 2580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, -7, -5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1147 by -1.\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*r = 72*r + 110*r + 9709 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -2\/13, 117?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 15. Let g = -50 - -103. Let h = g - 52.5. What is the closest to -0.3 in m, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -35*o + 7. Let l be h(-3). Suppose -p = -l - 21. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9673 + 9673.012112. What is t rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1599.63 + -1580. Let l = -0.63 + n. Let x = l + -19.168. What is x rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**0\/t)\/t))\/t*t*t**(-1\/5)*t*(t*t**(1\/3))\/(t\/(t\/t**(1\/8))))\/(t\/(t*t**7)*t*t**(-1\/4))**(-6) assuming t is positive.\nAnswer: t**(-3899\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 37*d**2 - 1. Suppose 9*m - 2*m - 133 = 0. What is the remainder when n(1) is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3410948803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*q - 24, 4*q + 16 = -0*q. Suppose -d + 17 = 3*c, -25 + 9 = -s*d - 2*c. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 50*p - 8. Suppose -h + 2 = 0, -14*h + 9*h = 5*y + 115. Calculate d(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551 is divided by 205.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vau when three letters picked without replacement from liivluiavll?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58143?\nAnswer: 3, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1492, -1494, -1496, -1498, -1500, -1502?\n\"Answer: -2*x - 1490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1906*p**4*y**2 - 5*p**2 - p*y**2 + 78*p*y wrt p?\nAnswer: -45744*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 20*1\/(-4) + 10 + (-3192)\/(-640)\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 8:05 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -4 (c) 0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14075 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453453493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Which is smaller: 34 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 25 - (-7 + -16 + 29)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 2. Let z be o(-5). Let j be z\/35 - 1678\/(-10). Let d be 1 + (2 - -19) + 2. What is the greatest common factor of d and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 3*i**2. Determine n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1475*y**2 + 2*y - 2. Let u(d) = 23601*d**2 + 33*d - 33. What is 33*p(z) - 2*u(z)?\nAnswer: 1473*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g - 3. Let r be l(4). What is the common denominator of 24\/r + 4\/14 and 9\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 238*b**2 + 42*b - 5. Let x(m) = -2*m**3 + 475*m**2 + 70*m - 9. Give 5*i(a) - 3*x(a).\nAnswer: a**3 - 235*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 - 2)*(6 + -5))\/(221\/26). Sort -2, k, 2, 2\/19 in ascending order.\nAnswer: -2, k, 2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/52366 + 2278031\/5760260. What is the common denominator of 9\/425 and y?\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1719 + 861 - 10*j**2 + 858.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -5. Let m be (-497)\/(-5) - 2\/c. What is the greatest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/15 + 4)\/(11016\/3240).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8)\/(60\/800) + -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7801*u + 72*u**2 + 7801*u. Let o(r) = -2*r. Calculate o(w(j)).\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -857 (b) 0.09 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 7. Let i(w) = 111*w - 10. Let q(p) = 582*p - 51. Let g(y) = 21*i(y) - 4*q(y). Calculate -6*b(v) - 7*g(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47107.\nAnswer: 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 8*k + 4. What is l(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -500 - -501. Let n(a) = a**3 + a + 1. Let d(f) = -11*f**3 - f**2 - 5*f - 3. Let i be ((-9)\/12)\/(-3)*-4. Let y(t) = i*d(t) - 4*n(t). Determine y(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 0.5 (b) 0.2 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from tqxiigqiqiix?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/2 - 1)\/(-1). Let d(g) = g**2 + 6*g - 2. Suppose -3*o + 18 - 6 = 0. Calculate the smallest common multiple of o and d(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 15. Let h be p\/(-4)*(4 + -6). Suppose 0 = 4*l + h - 389. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547938, -547957, -547976, -547995, -548014, -548033?\nAnswer: -548052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 8:49 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -60893*m + 5621*m**2 + 60893*m + (m + 0*m - 3*m)*(-2*m + m + 2*m) as o + v*m + j*m**2 and give j.\nAnswer: 5619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (11 - -2)) + 2 - (13 - 3 - -98)\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/31 (b) 8 (c) -4\/7 (d) -523 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8789.9953016 - 8790. Round x to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*o = 98*o + 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 2)*(6*h + 12*h + 23*h) - 3*h + 3*h - h)*(-3*h - 3*h - h) in the form t*h**2 + a + n*h and give t.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 5*h**2 + 10*h - 43. Determine a(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 6 - 4*m**2 + m**2 - 15 - m. Suppose f - 14 = -o, -4*o + 47 = -2*f + 3*f. Suppose 4*y = o*y. Give u(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195600*y**2 + 8*y**3 + 195600*y**2.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = 160 - 2144. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164601, -166541, -168477, -170409, -172337, -174261, -176181?\nAnswer: -178097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = -3*h + 7*h, 2*r = 0. Let y(k) = -70*k + 1. What is the tens digit of y(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89768196 is divided by 29922732.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*s + 6, -4*u + s + 18 = -s. Let i = -5 + u. Let k be 940\/(-680) - i\/2. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14942\/(-3133))\/(6\/78).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 9 = 3*c, 10*a = -3*c + 11*a + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -4. Let f = -5 - -9. Let w = -5 + f. What is the second smallest value in m, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -11*r**6\/120 - r**5\/5 - 11*r**2. What is the third derivative of c(v) wrt v?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/35*5*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110664 or 111878?\nAnswer: 110664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**5*(b*(b\/(b\/b**(-2\/37)))\/b)\/b*b assuming b is positive.\nAnswer: b**(-150\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 10*o + 15)*(3*o**3 + 3*o**4 - 5*o**3 + 14*o**3)*(-3 - 1 + 2).\nAnswer: 60*o**5 + 240*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-268)\/(-201)*((-1)\/(-4))\/(10\/(-8))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 1) + (-242 + 238 - (-13 - 0)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 85, 325, 725, 1285, 2005, 2885?\n\"Answer: 80*g**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/90 and 69\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.4 - -25. Let y = 872581 + -872579.5999905. Let f = h + y. Round f to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324 + 1754. Calculate the smallest common multiple of 572 and z.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-11))\/((-2)\/(-22)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r + 3*t + 234, 214 = -3*r + t. What is the common denominator of 61\/3 and r\/3 + (8 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 11:12 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, -10, -434, -1026?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 1670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5653, -11299, -16947, -22597?\nAnswer: -28249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7215*v - 7875*v + 3084*v = 1284642 for v.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 266 + 1c92a1?\nAnswer: 1c9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from oezmmgzymyz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -707\/5 + 142. Let n = -0.8 + 0.3. Let d = -0.05 - -1.05. Sort j, n, d in decreasing order.\nAnswer: d, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*i + 9, -3*i = -5*s - 4 - 11 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 22 + 2*f - 13 - 4 - 10*f - 14. Let z(u) = -12*u - 14. What is 8*h(g) - 5*z(g)?\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s - s + 3*s)*(-3 + 2*s + 3*s + 4)*(-3*s - s - 9*s) to m + j*s**3 + b*s**2 + o*s and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17402 and 495026.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Suppose 4*m - 2*i - 35 = -7*i, 5*m - 16 = p*i. Factor 32*a**3 - 16*a**4 + 56*a + 2*a**m - 16 - 76*a**2 + 0*a**5 - 16*a**3 + 34*a**3.\nAnswer: 2*(a - 2)**3*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 25, -3*d - 2*q + 21 + 1 = 0. Suppose 0 = 4*u - 12 + d. Determine z, given that 0 + 4 + u*z - 3 + z**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9406 is divided by 2348?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -1, -2, 5 in descending order.\nAnswer: 61, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*d = -8433 - 3399 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1014 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5 + 57\/((-115710)\/2576)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 27*d - 2. Let x(n) = -8*n**2. Determine x(u(g)).\nAnswer: -5832*g**2 + 864*g - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q - 24. Let f(n) = -47*n**2 + 2*n. Give r(f(l)).\nAnswer: -470*l**2 + 20*l - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -48, 2\/13, 0.2, 0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.66 + -0.37. Let v = d - -0.03. Let r = 6 + v. What is the second biggest value in 0, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108794225 - 0.4.\nAnswer: 108794224.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -0.43. Let f = 0.13 + v. Which is the third biggest value? (a) -1 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48403, 96799, 145195, 193591, 241987?\n\"Answer: 48396*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 19 (b) 2\/9 (c) -3 (d) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3\/4 + 441303*u**2 - 19416243*u + 213574680 = 0. What is u?\nAnswer: 22, 588360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 25?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 7 + (-9 + 0 - -74).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:13 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -29, -54, -87, -128, -177?\n\"Answer: -4*p**2 - 5*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 5 (c) 0 (d) -0.008 (e) -0.238 (f) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iflgilellllg. Give prob of picking 2 l and 1 f.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12414 is divided by 194?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*s - 15, 3*l - 6 = -3*s + 9. Let g = 3.3 - 0.3. Sort s, 0.3, g.\nAnswer: s, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*16\/768*8\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**4 + 0*y + 0*y)*(3 + 0 - 4)*(2 + 12 - 10) in the form g*y**4 + b*y**3 + u + i*y**2 + v*y and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7386246 and 21483?\nAnswer: 81248706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 106496?\nAnswer: 106501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -370 and -0.02.\nAnswer: -370.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 10*z**2 - 14*z - 36. Calculate the least common multiple of 39 and t(-10).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -104)*(-220)\/1100*(-39)\/(-9).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 57, 105, 193, 333?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**2 - 47*s**2 + 10*s**2)*(-2*s + s + 0*s) + 3*s**3 + 0 + 0 - 1 + 1 + s**3 + (2*s + 3 - 3)*(s - 2*s**2 - s) - 27*s + 27*s + s**3.\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4995905 is divided by 172272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by -350?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 118. What is the remainder when 9\/12 - (-4624)\/64 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/32 and -15\/22432.\nAnswer: 22432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m - 5. Let w be (-101)\/(-4) - (-9)\/(-36). Suppose -3*l - d = -w, -2*l = l - 4*d - 50. What is the remainder when l is divided by h(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057251 is divided by 1099?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 394\/(-66) + 4)*-3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -0.021\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 23 + 92 - 2*u - 33 - 38 - 5*u**2 in the form d*u + y*u**2 + g and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355473 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a - 110. Suppose -a = -3*n - 4*f, -4*n + 3*n = -2*f - 5. Calculate the remainder when 24 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-3 + sqrt(76))*3)\/(sqrt(16)\/sqrt(4)*2).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 1:23 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1761\/4, -187, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1000)\/(-20))\/(13\/26*5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.732 and -0.27.\nAnswer: 3.43764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 12*k**2. Let d(f) = -9*f - 3*f**2 + 4*f + 2*f - 4*f**2 + f. Calculate q(d(w)).\nAnswer: 588*w**4 + 336*w**3 + 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10832, 10527, 10022, 9317, 8412, 7307, 6002?\nAnswer: 4497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 4*h + 22, 14*h = -4*q + 15*h - 22 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31972 and 455601?\nAnswer: 1822404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**4 + 7393253*i**2 + 20305793 with respect to i.\nAnswer: -8*i**3 + 14786506*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247 + 742. Let h = -3446 + 3461. What is the highest common factor of h and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in -0.7, 251, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-3))\/((-4)\/30). Let b = 362 - 337. Let t = b - n. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 8*n + 26*n - 10*n - 1332.\nAnswer: 15*n - 1332","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*o = h + 32, -3*o - 3 = -5*h. Suppose 0 = 19*k + 14*k - 5*k. Solve k = -h*s - 11 + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/66 and (-117700)\/(-256740) - (-1)\/(-2).\nAnswer: 25674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 - -321.76. Let h = q + 2.24. Let x = 0 + -0.2. Which is the nearest to -1? (a) x (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36494 is divided by 158?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*y + 43150, -66859 = -4*h - 2*y + 19491. Let c = h - 11585. What is c rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 17 = b, 4*b - 26 = -w. Is 1577 + -4 + w + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2348, 2343, 2336, 2327, 2316, 2303, 2288?\nAnswer: 2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + o - 3*o + 2*o. Let z(i) be the first derivative of i**4\/6 - i - 1. Let j(p) be the first derivative of z(p). Determine j(n(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 + 2*z**2 + z**2. Let g(b) = -2*b - 14 + 14. What is j(g(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**2\/2 - 13467*o - 60453363\/2 = 0.\nAnswer: -4489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/41235 and -67\/24?\nAnswer: 329880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172 - -100. Let w = -214\/3 - d. Solve 2\/3*f + 2\/3*f**2 - w - 2\/3*f**3 = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 160*w**3 + 4*w - 5*w.\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(sqrt(8)\/sqrt(4) + -5).\nAnswer: -2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) 5 (b) 2\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17315\/12 - -1441. Let s = -75719\/18 - -4208. Calculate the common denominator of w and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/31 (b) 2857171 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1924161935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 2785, 9324, 22003, 42856, 73917?\nAnswer: 117220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kookkookkkoo. What is prob of sequence ok?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 0*t = -5*u - 35, -4*u - 40 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/(12 + (-516)\/48)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 2220?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**17)**(2\/3)*o*(o\/(o**(-3\/5)*o))\/o*o*o*o*o**(-2\/47) assuming o is positive.\nAnswer: o**(11438\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2706119\/3181416 - -1\/36568. Calculate the common denominator of k and 31\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 61 - (-5 + -3) - (0 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 25*w - 24. Is 22 a factor of j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4238 + -4193. Let g = -52 + 151. What is the least common multiple of v and g?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 785 - 400. Let j = -36 + 71. What is the greatest common factor of h and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84544 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 2400.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2054, 3871, 5690, 7511, 9334, 11159, 12986?\n\"Answer: j**2 + 1814*j + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u + 6. Let z(j) be the third derivative of 0*j - j**2 - 1\/6*j**4 + 0 - 5\/6*j**3. What is 3*t(d) + 4*z(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 - 96*a = 0. Calculate a.\nAnswer: -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1027, 4, 432.\nAnswer: -1027, 4, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:42 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 0.4, 0.02, -373 in ascending order.\nAnswer: -373, -4\/5, 0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6345 divided by 705.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amrvaavvayvo. Give prob of picking 1 r, 1 m, and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-8 + 5 + -3 + 6)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (1 - 4) + 5. Suppose o = -3*n + 3*i + 2, -2*i = 4*n - 16. Calculate the least common multiple of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -5*j - 158. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 t when three letters picked without replacement from {y: 1, m: 5, g: 6, t: 1, w: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.2 (b) 1\/11 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 804735.5s?\nAnswer: 804735500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k, -u + 6*k + 16 - 4 = 9*k. Suppose -24 = -3*o + 3*h, 3*o - 3*h - 16 = 2*h. Let m = u - o. Put m, -1, -3, 2 in descending order.\nAnswer: 2, m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/5 + 1)*8\/(-7*(-42)\/(-245)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2 - t + 3. Let r be p(1). Let y = 2 + r. What is the nearest to y in -20, 0.5, 4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1\/2, -0.136, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 10*h + 13. Let c be k(9). Suppose m + 5*v - 5 = 6*m, -5*v + 5 = 4*m. Let t = -24 + 44. Solve m*d = -c*d - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**4 - 2*a + 1. Let r(b) = 111*b**4 - 2*b**2 + 17*b - 5. Let u(m) = r(m) + 5*z(m). What is the third derivative of u(t) wrt t?\nAnswer: 2424*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*o - 42, o + 3*m - 46 = -4*o. Let h = 16 - o. Solve 18 = 4*d + u, 0 = h*d + 3*u + 3 - 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-14)*32\/(-12). Let b = -27 + 28.52. Let f = b - -0.48. What is the biggest value in f, -1\/2, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2. Let j be (5\/2)\/(3\/6). Suppose -j*r = -0*r, 3*p = -r + 18. Let t(w) = -p + 6 + w**2. Determine q(t(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 149*u**4\/12 - 569*u. Let f(h) = -4*h**2. Determine y(f(q)).\nAnswer: 2384*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:15 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 - 494 = -6*m. Let b(v) = v - 13. Calculate b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -6. Let o = 13 - p. Suppose -4*r - 2*d - 3*d + 164 = 0, o = 2*r + 3*d - 84. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 9*g + 14. Let j be v(-7). Suppose 10*s - 8*s - 16 = j. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:12 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -417.9362 + -0.0638. What is the second biggest value in q, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/64818 and 5\/3228?\nAnswer: 34872084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58422 and 8827.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 18 = -10*v. Let r = -0.1 + 0.1. Let w = r - -0.1. Sort -0.3, v, w.\nAnswer: v, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-138)\/(-7))\/(9\/42). Let v = 95 - z. Solve v*s = -3*s + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2122680 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*k + 13 + 91 = 0, 4*s + 2*k - 388 = 0. Suppose -10*p - s - 272 = 0. Let b = p - -122. Calculate the highest common divisor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 32, 33, 34?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**4\/12 + y**2\/2 - 15*y. Calculate r(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/43*(-83)\/((-1660)\/(-30))*12\/(-9)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3530955511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 9*v**2 - 5*v + 8. Let s be m(4). Suppose s*f + c = 1, -2*c = -f - 2*f + 9. Let a be 2 + 0 + -4 + 2. Put -7, f, a in decreasing order.\nAnswer: f, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*40\/(-10)*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000874152 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xitimxmcctiimmmmct. What is prob of picking 1 i, 1 c, and 2 m?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4784 is divided by 164?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4989 - 4965 = 0. Let s(l) = -14*l. Let j be (39\/4)\/((-3)\/(-4)). Let v(h) = -7*h. Calculate j*v(o) + t*s(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = -0*n. What is the nearest to n in -3\/7, 0.5, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1 = -i + 21, 0 = 4*i + k - 118. Let m = 88\/3 - i. What is the nearest to -2 in m, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jop when three letters picked without replacement from {p: 1, z: 1, b: 1, i: 3, o: 1, j: 5}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -174599, -349204, -523809, -698414, -873019?\n\"Answer: -174605*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*d + d - 205, 4*u - 3*d = 164. What is the highest common divisor of u and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133\/((-260680)\/(-3360)) + 494\/14 + 1\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5 - 22328*h**4 - 178683*h**3\/2 - 55859*h**2\/2 + 106099*h - 33504 = 0.\nAnswer: -3, -2, 1\/2, 11168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6400372.\nAnswer: 2, 11, 145463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-36))\/((-45)\/90)*46?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from yllfyyyyyllyyylyyll?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*t + 5*o, -2*o - 21 = 5*t + 2*o. Let i(j) = -9*j + 5. Let c be i(t). Suppose -8*p + c = -3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332441 is divided by 253?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (24\/((-2016)\/(-140)))\/(310*(-4)\/(-24))\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -23. Suppose l + r*l - 20 = 0. What is the first derivative of -4*j**l - 6 + 1 - 1 + 7 wrt j?\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiii when four letters picked without replacement from {x: 1, i: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004173312948 to seven decimal places.\nAnswer: -0.0000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3156.9 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 + 0.38. Let z = 0.04 - -1.46. Let t = z - -0.5. Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 80*k**3 + 3*k**2 + 3*k - 14. Let j(u) = -4*u**3 - u**2 - u + 3. Determine c(z) + 3*j(z).\nAnswer: 68*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from wwffffufuffufuff?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 7906.\nAnswer: 284616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1082286, -2164575, -3246864?\nAnswer: -4329153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 + 3*m - 4. Let c(r) = -r**3 - 3*r**2 + 5*r + 7. Let l be c(-4). Suppose -l*x + 3 = -4*x. Let t = x - 2. What is p(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let f = 9 - 8. What is the least common multiple of r(f) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.23 - -34377030.\nAnswer: 34377069.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -424, -858, -1292?\n\"Answer: -434*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/((-28985)\/(-62)))\/((-15)\/(30\/4)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3324132 + -333102?\nAnswer: -4212234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154 + 156 + 45*z - 130*z - 3*z + 0*z - z + (4*z - 4*z + z)*(1 - 1 + 1) - 10*z - 7 + 7*z + 4 to g + i*z and give i.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14 + 6 = 0. Suppose o + o**4 - 3*o**3 - p*o + 0*o + 3*o**2 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/6 + 37*y\/3 - 1369\/6 = 0. What is y?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 3. Suppose 0 = -g - 5*p + 26, 11*g + 3*p = 6*g + 42. Let h(v) = -v**2 + 11*v - 17. Let t be h(g). Suppose 3*i = 22 - t. Determine k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 667*p**3 - 684*p**3 - 1021*p**3.\nAnswer: -1038*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 14 + 1 - 3 + 6. Let r be b(15). Suppose r*c - 2*j = 72 - 4, 3*j - 107 = -5*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -6 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*y**2 - 197*y**2 + 806*y**2 - 205*y**2 - 205*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7 (base 14) in base 12?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(3*c - c - 4*c) - c + 0*c + 0*c + 0 + 0 - c + 0 - c + 0 - 13 - 22*c + 38*c - 18*c.\nAnswer: -7*c - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 7*t + 107. Let h = 179 - t. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123 - -59. Let x = -33 + 103. Let d = x + m. Calculate the least common multiple of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 55. Let l = m - -27. Suppose 28 = l*g - 96. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 21*k + 19. Let x be l(9). Suppose 25 - x = -4*n. What is the least common multiple of n and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 257*r - 90. Let f be n(12). Let h = -12043\/4 + f. What is the common denominator of h and -81\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 + 88830552*b + 657572247385392 = 0.\nAnswer: -14805092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -174*p**2 - 27*p. Let h(v) = -25*v**2 - 4*v. Give 27*h(m) - 4*i(m).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 1. Let l(w) = 1 + 4*w + 5*w - 5*w. Calculate 5*b(p) + 4*l(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -7057, 3.\nAnswer: -7057, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 42*t = 91723. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 494 and 90703834?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 12*w. Let r be y(12). Suppose 2*v + r*v = 0. Suppose -2*i = -v*i - 470. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eepe when four letters picked without replacement from ezzxzzeezzegexp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*-2 - sqrt(175))*2 - ((sqrt(7) + 0)*1 + sqrt(7) + sqrt(28)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4 and (-6)\/(-27) - 12012\/8856.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**8\/84 + j**7\/21 - j**6\/15 + j**5\/30 - j**2 + 37*j + 29. Let h(k) be the second derivative of d(k). Factor h(p).\nAnswer: -2*p**2*(p - 1)**2*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6*s + 21 = -4*s, 3*p + 2*s - 11 = 0. Which is the nearest to 2? (a) p (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 5206976?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 0.193?\nAnswer: 0.193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-4*sqrt(448)).\nAnswer: -sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-2 + 1) - -301*7\/245?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvjjkp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 4. Let w be d(3). Let s(h) = h**2 + 4*h + 7. What is the remainder when (6\/13)\/(26\/169) + 3 + (-37)\/(-1) is divided by s(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5571 - 2320. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -73.925?\nAnswer: -73.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4382.457077 and -27.835.\nAnswer: 4354.622077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 88, -100, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -258456.72 rounded to the nearest one thousand?\nAnswer: -258000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-235)\/1692 - 3\/27. Which is the closest to 0? (a) -2 (b) y (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72441, -144886, -217331, -289776?\nAnswer: -362221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9111 and -15613.\nAnswer: 142250043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 85358*c - 3243620. Calculate d(38).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 136, 216, 298, 382?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 203*c + 534*c + 2987, 4*c + 90 + 112 = -5*r + 251 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4700+-364\nAnswer: -5064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5930870*x**2 + 17392065*x wrt x?\nAnswer: -11861740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = 0, 0 = 5*y - 5*g - 5 - 5. Suppose -3 = q + 1, q - 8 = -y*d. Suppose -14 = -o - t - d, -5*o = -5*t - 40. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-7 + -9 + 20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -72\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/34 + -1\/85. Suppose i = u - 2*i + 12, -u + 4*i = 17. Suppose -2*t - u = t. Does d = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = x + 4*x. Let g = 102 - 73. Suppose -2*h + 25 = -g. Calculate the remainder when h is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -14, 15, 2\/7, -17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {b: 4, v: 1, k: 6, h: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 28 = 0, -6*x + 0*x - 3*c + 5*c + 34 = -8*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57305*c**3*w**3*x - 4*c**3*w**2*x - 2*c**3*x + 1517*c**2*x - c*w**2 + w**3*x + 2*w*x wrt w?\nAnswer: -343830*c**3*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = -1. Let p = 160.7 - 151. Let w = p - 2.7. What is the smallest value in 3, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqzz when four letters picked without replacement from {g: 2, q: 1, m: 1, z: 2, e: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 0*o + 10*o. Let i(s) = -2*s + 6. Let b(y) = 21*y - 36*y - 34 + 26*y. Let x(d) = -6*b(d) - 34*i(d). Give g(x(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 6:22 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.064 + -51.936. Let r = c - -52.5. Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493\/60535 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/3)\/(j**(-11)*j)*j**10*j\/j**8)**24 assuming j is positive.\nAnswer: j**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/955? (a) 0.4 (b) 0.045 (c) -1794\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9371919 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: Calculate 7 - (4 + (-1 - -4) + -13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/(-9) + 7 + -1. Which is smaller: y or 35?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -5, -99 in decreasing order.\nAnswer: 5, -1, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07985 times -3.9?\nAnswer: 0.311415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 580640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:50 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -2 - (421 - 439).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 738605 (base 10) to base 5\nAnswer: 142113410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - g**3)*(0 - 5 + 2) - 6*g**2 - 2*g**3 + 6*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 10*y**2 + 8*y + 7. Let u be -4 + (-8)\/((-10)\/(-5)). List the prime factors of z(u).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8145*z - 1900. Let i be k(8). Round i to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-15)*2\/(-8)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165495 and 6402880?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -582, 41, 662, 1281?\n\"Answer: -n**2 + 626*n - 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-6)\/(-54)*-2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d\/d**(-2\/11)*d))\/d)\/(d**(2\/17)*d*d*d*d))**(12\/5))**(-1\/9))**(-15) assuming d is positive.\nAnswer: d**(-4712\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 60\/((-6240)\/598)*4\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 700 - 17. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/(1\/1) + (-1248)\/(-156) and 838.\nAnswer: 5028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Suppose 0 = -i - c*i. Solve 0 = 5*n - i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-200))\/(30\/(-8))*1550\/(-248).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -3\/5 (c) -8\/11 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*l - 279*l = -518 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 6.\nAnswer: -5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + -0.5. Let t = 1.1 + b. Let a = t - 0.4002. What is a rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 4*h + 160. Let a be (4 + -3 - 37)*3\/2. Let n = h + a. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1625.7 to the nearest 10.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 52 = 11*w. Solve 0 = -2*f - u - 11, -u = -2 + w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33052 is divided by 1580?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -29075*g**3 - 2*g**2 + 3*g + 4. Let n be k(-1). Suppose 5*l + p - n = 0, -4*p = -3*l - 6*p + 17443. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13986.088 times 0.11?\nAnswer: 1538.46968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, 3\/5, -1 in increasing order.\nAnswer: -4, -1, 3\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 81*a**2 - 2945*a - 55814. Let d(y) = 17*y**2 - 589*y - 11163. Let i(s) = -14*d(s) + 3*z(s). Differentiate i(p) wrt p.\nAnswer: 10*p - 589","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4 + 0*w + 11*w + 7*w + 8. What is the tens digit of h(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 6*h**2 - h - 5. Suppose 4 = 6*f + 40. Let r be o(f). Solve -5*s = -4*s + r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -319*n + 41. Is o(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**7\/980 - y**6\/420 - 8*y**3\/3 + 2*y**2 + 34. Let m(f) be the third derivative of n(f). Factor m(r).\nAnswer: 6*r**2*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-11) + 30\/(-165).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:23 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 9*o**2 - 5*o + 31. Give k(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = -v - 2, 2*v = d - 15. Suppose 0 = -5*l + 10, -l + 3*l - 24 = -d*c. Solve y = -y - c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 1, w: 1, m: 2, n: 1, g: 2}. What is prob of picking 1 y, 1 w, and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2367 + -2368. What is the third biggest value in 0, x, 6.6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 divided by 3.\nAnswer: 406\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqa when three letters picked without replacement from {a: 2, q: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 10:15 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and -7*4\/(-28)*8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0*h**2 - 7*h + 509 - 499 - h**2. Does 4 divide z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 33 = -56 - 15 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10032*i + 14288*i + 17137*i.\nAnswer: 21393*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.567582 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 14908cdb?\nAnswer: -14908d00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2\/f)**42*f**(1\/3)*f**(-1\/2))**(-26))**(3\/44) assuming f is positive.\nAnswer: f**(-3263\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 25439*b - 25437*b - 1, 5 = -4*g - 5*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2093*i + 2560*i + 200079 = 0 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**3 + 2*d**3 + 0*d**3)*(-1861*d - 8659*d + 2645*d - 8861*d + 2000*d - 15803*d) as k + c*d**2 + p*d**4 + x*d**3 + b*d and give p.\nAnswer: -30539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - h + 4*h + 27 = 0, 5*h + 9 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120192 and 10944984.\nAnswer: 175119744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-151)\/80 + 3 + -1)*67*(-155)\/(-6231)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1399044005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*y - 4212 = 129*y + 206*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-15))\/(8\/((-12)\/3))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49336225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3871863 smaller than 42590490\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*t + t. Let l be (3 - 7) + t + -1. Find the third derivative of -13*i**4 + 14*i**l - 17*i**2 + i**4 + 3*i**4 wrt i.\nAnswer: -216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -52 + (-29 - -77)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90201, -90031, -89861?\nAnswer: -89691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - (-3)\/6. Let m be (y - (-6)\/(-3))\/(-1). Differentiate 2 - 2*j - 4 + m with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10005906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-456*q**2 - 32388 + 32388)*((0 + 5 + 0)*(3 + 0 - 1) - 3 + 2 - 1).\nAnswer: -3648*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/3)*r)\/r**(2\/13)*(r\/(r*r\/(r*r**(-3\/2))))**(-11) assuming r is positive.\nAnswer: r**(1379\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.986 - 32.986. Let s be 16\/(-10) + (7 - 5). Sort q, s, 8.\nAnswer: q, s, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let r = -965 - -971. Let y(z) be the first derivative of 0*z + 9\/2*z**2 - r. Determine n(y(k)).\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1503 + -1505. Suppose -5*o - 11 = 3*x, -4*o + 3*o = -3*x + 13. Let n be -2 + (36\/11)\/x. Which is bigger: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02196 - -0.17804. Which is the nearest to 1? (a) -3\/2 (b) -5 (c) -0.02 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20030 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 10560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 20530?\nAnswer: -20534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/7405 and 16\/45.\nAnswer: 66645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 - 23*h**2 - 2*h**3 + 4*h + 1 + 34*h**2. Let b be l(3). Solve -b*z = -6*q + q + 21, 8 = -z + 4*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -82*u + 79*u + 673, -3*u - 4*t + 658 = 0. Let -222*n**3 + 8*n**2 + n + u*n**3 - 13*n = 0. Calculate n.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-150))\/(((126\/(-27))\/14)\/(-1))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -380\/3*v + 5\/6*v**2 + 14440\/3 = 0.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4722.9 - 4723. Which is the nearest to 0.1? (a) z (b) 0 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1287 or -1286?\nAnswer: -1287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3*-3*(-5)\/(-15))\/((-237)\/(-395))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from jxxzzxfxxszaz?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-70))\/(30\/(-24))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1375\/77 + 2\/14. Suppose 22*f - 20*f - w = 0. Calculate the greatest common divisor of 333 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11\/(-390))\/(-2 + (-678)\/(-165) - 2) and 113\/18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -100101101 (base 2) in base 8?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 - (6 - (23 + -1 + -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9323 is divided by 2309.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(25704\/(-112)))\/(21\/(-54)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -962*x**4 + x**3 + 943*x**2 + 5*x?\nAnswer: -23088*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 14*q**2 - 34*q - 19. Calculate r(-14).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-37)\/((-148)\/32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 516\/254917 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3563 divide 310412123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1879 - -1922. Solve -40 - 3 = f*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132695588?\nAnswer: 2, 199, 166703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10034\/124817 + 4\/1621. Let o = z + 351\/1540. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 6*y - 8. Let o be s(-3). Let b = 194 - 61. What is the remainder when b is divided by o*(1 - 4) - -37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 - 4*i**3 + 15*i**2 + 18*i = 0. What is i?\nAnswer: -6, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31773 = 1411*r + 14790 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 25*r**2 - 3*r + 826. Calculate the lowest common multiple of 66 and q(26).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - v**2 + v + 60. Give r(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*y = 31, 0 = -0*h + 4*h - 4*y - 32. Factor 138*z + 3211*z**h + 72*z + 1170*z**2 + 8 + z - 47*z + 2197*z**4.\nAnswer: (z + 1)*(13*z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 47*o**2 - 59*o - 10523. What is l(52)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -1.9. Let z = t + 0.1. Let m be (-2)\/(-4)*4\/10. Which is the closest to 1? (a) z (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5513 and 1639.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Suppose -40*s + s + 7488 = 0. Let h(k) = 193 + 21*k + 5*k - s. Give r(h(f)).\nAnswer: -52*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000846504 rounded to 6 decimal places?\nAnswer: -0.000847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11123022123 (base 4) in base 13?\nAnswer: -3aa310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:21 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 1:23 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + n - 4*n - 2*n + 5*n - 3 - n + 3 + 3*n + 0*n - 5*n + (-n + n - n)*(-4 + 3 + 2) - n - 2*n + 2*n)*(7*n**2 - n**2 - n**2).\nAnswer: -35*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (18\/32)\/((-105)\/(-180)*-8) and 99\/196.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776212 is divided by 767.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 89, 61, 37, 23, 25, 49, 101?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1914042*w**3 - 1914042*w**3 + 2768*w**4)*(3 - 5 + 4) to x*w**3 + d*w + u*w**4 + g*w**2 + p and give u.\nAnswer: 5536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-232)\/(-40) - 2\/(-10). Suppose n - i*n - 145 = 0. Let k = n - -30. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 10) + (6 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 0*x - 1\/2*x**4 - 102 - 11\/3*x**3 + 118*x**2. Find the second derivative of s(k) wrt k.\nAnswer: -12*k - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -0.12 (c) -3 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 323*n**4\/4 + 43*n**3\/3 - 6*n**2 - 1272. What is the third derivative of l(h) wrt h?\nAnswer: 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/4)\/(3\/(-2)))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13132 - -3?\nAnswer: 13140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3686*q - 76344 = -505*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/((-7)\/(-21)*-15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 375 = 385, 0 = -5*b + 3*j + 46. Let x = 13 + 11. Calculate the highest common factor of x and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41384178 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.13, 0.01, -1, -0.3 in decreasing order.\nAnswer: 1.13, 0.01, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*i - 2770 = 0, -i = 1 + 1. What are the prime factors of k?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3824124144.\nAnswer: 2, 3, 79669253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**4 - 3*d**4 + d**4)*(26*d + 26*d - 3 - 54*d).\nAnswer: -8*d**5 - 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 12*j = 3*n + 14, -2*j + 16 = -3*n. Solve -8 + 4 = j*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 10021?\nAnswer: 10028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddds when four letters picked without replacement from ssdsddssds?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6004 divided by 6.\nAnswer: -3002\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34 + (2 - 3\/1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3 + 0 - 10. Is 9 a factor of 1*(3 + -4)*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*j - 8 + 45, 4*u + 54 = 2*j. Calculate the greatest common factor of 171 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**5 + 3*i**4 - 29*i**3 + 3*i**2 + 25*i - 6 = 0.\nAnswer: -3, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*2)\/sqrt(10) - 4*(sqrt(45)\/sqrt(3))\/sqrt(5).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1832 by 2.\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 4 - (10 + -7) - -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*l - 10 - 12. Solve o - 3 = l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 14*z + 10. Let f be m(-13). Which is the closest to 1? (a) f (b) -0.5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1161 + -1165. Let o = 3 + -2.2. Let g = o + -0.8. Which is the closest to -1? (a) g (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 1, t: 3, f: 4}. Give prob of picking 2 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4556 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/405)\/(1\/9). Let u(d) be the third derivative of 0*d - 8\/3*d**3 + 0 - p*d**5 + 13*d**2 + 0*d**4. Differentiate u(q) wrt q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1947400 and 185640?\nAnswer: 99317400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6203652 milligrams to kilograms.\nAnswer: 0.0000006203652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 555*x**2 - 61*x + 30. List the prime factors of n(-4).\nAnswer: 2, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**4\/12 + 2594*s. Let f(d) = 4*d - 1 - d + d + 2*d. Determine f(k(u)).\nAnswer: 6*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98\/9*z + 2\/9*z**3 - 44\/3 + 32\/9*z**2.\nAnswer: 2*(z - 1)*(z + 6)*(z + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3090339.\nAnswer: 3, 7, 83, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + j + 298 = 0, -4*c = -3*j - j - 400. Factor -18*u**2 - c + 58 - 40*u + 32*u**2 - 13*u**2.\nAnswer: (u - 41)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 306465253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 4*l - 69. Let k = -4 + 14. What is the remainder when r(k) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123469 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -5.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/9, -3\/4, 29, 3, -1\/3?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30726238511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xem when three letters picked without replacement from {x: 5, m: 3, e: 7, j: 4}.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 11*v**2 - 5*v - 54. Let y be -1*(0 - 1)*-11. Let j be i(y). Solve 5*a - 2*c - j = 10, 3*a - 4*c = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51347.1 - -4.\nAnswer: 51351.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 11*u - 60. Suppose -5*s + 2 = x, -4*s = -4*x + u - 2. Solve 0*d + 41*d**2 - 48*d**x - 2*d**3 + 2*d - 2 - 9*d = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 14*o + 8. Let w be -24*(4\/30 - 42\/90). Let j(y) = -5*y - 3. What is w*j(a) + 3*q(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301511?\nAnswer: 17, 37, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**0\/((d*(d\/(d**(-2\/7)*d)*d)\/d*d)\/d*d)**43 assuming d is positive.\nAnswer: d**(-688\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -92190*u + 50. Suppose 3 = -5*q - 22. Let g be d(q). What is g rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1663*d**2 - 84*d - 57*d + 129*d - 1676*d**2.\nAnswer: -13*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93750067 is divided by 3910?\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2245 is divided by 838.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 905564970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240564?\nAnswer: 2, 3, 20047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0958 minus -4907?\nAnswer: 4906.9042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1*6 + sqrt(78) + sqrt(78))\/(2*sqrt(384) + sqrt(384) + sqrt(384)))**2 - ((sqrt(104)\/(sqrt(32)\/sqrt(4)) - (sqrt(52) + -5)) + -4)**2.\nAnswer: -211\/16 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 8*l**2 + 17*l - 8. Determine f(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*d = 54675 - 54965, 0 = -3*u + 3*d - 210 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2910*s**4 - 6368*s**2?\nAnswer: 69840*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 14 - 11 - 4 + 4*c + 4*c**2. Suppose -b + 3 = -0*b. Is s(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6718 = 3*c, 0*c + c - d = 2238. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/120299 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b - 12 = 0. Suppose 0 = m + m - b. Let n(o) = -4*o**2 + o - 1. Let q be n(1). Sort q, m, 1 in descending order.\nAnswer: m, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2811977838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -551d + 2?\nAnswer: -551b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:17 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 79860000 to the nearest one million.\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.19 and 84303.97.\nAnswer: 84303.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 7*u - 2 + 0)*(-57*u**2 + 19*u**2 - 22*u**2 + 3*u).\nAnswer: -240*u**3 + 132*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 5*w**2 + 3*w - 2. Let h be i(5). Suppose 0 = 3*l - 2*k - h, 4 = l - 3*k + 2*k. Suppose l*a - 10 = 65. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/4)\/(5\/(-20)). Let n be (-68)\/144 + (-2)\/o. Sort -2\/15, n, -3\/2 in decreasing order.\nAnswer: -2\/15, n, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a**2 - 567*a + 1192*a - 625*a.\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 6. What is the remainder when ((-16)\/5)\/(8\/(-20)) is divided by j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3955, 7908, 11863, 15820, 19779?\n\"Answer: u**2 + 3950*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64383523, -128767048, -193150573, -257534098?\n\"Answer: -64383525*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101 and 70675457.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*c - 216000000 = 138*c. Round c to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.07 - -0.07. Let f = -35.5 + 36. Is p greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -344\/809 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/70*-15)\/(2\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 595601295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001181 rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 12:30 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1428 divided by -204.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 - 202. Let t = -17.5 - -48.3. Let m = f + t. What is the biggest value in -0.5, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {i: 1, v: 3, o: 1, b: 1, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -21*k + 106 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 366 + -372. Which is the closest to -2? (a) 1.5 (b) 1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1711.2 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -370495 - -751424. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1989774.\nAnswer: -2\/994887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 252 * -1.0286.\nAnswer: -259.2072","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f - 3. Let y be s(3). Let p be (((-16)\/(-6))\/((-74)\/(-12) + -6))\/2. Solve -y = 4*b - p*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/39172 and -35\/3816.\nAnswer: 37370088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(180\/(-32) - -6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4209384 by 2.\nAnswer: -2104692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**6\/6 - 2*t**3 + 23*t**2 - 46. Find the second derivative of y(v) wrt v.\nAnswer: 20*v**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 411.6053 - 3014810.9.\nAnswer: -3014399.2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-57)\/117 + 10\/65. Which is the fourth smallest value? (a) -9 (b) -2 (c) 1\/8 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742049 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333781?\nAnswer: 7, 41, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20503*q**2 + 19651*q**2 - 37813*q**2)*(2 - 5*q - 2 - 2)*(2*q + q - 2*q).\nAnswer: -11705*q**4 - 4682*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqnqqqnnqnn. Give prob of picking 4 n.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*z - 61, 8*z - 12*z + 46 = -2*v. Let j(r) = r**2 - 12*r - 10. Give j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 729746?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4416871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 8.5\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*(-48)\/18. Let p be -5*((-12)\/10 - 2). Calculate the greatest common divisor of p and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 0, 0 = -2*h - 7*v + 11*v + 238. Let n(b) = -113 + b + 221 - h. Let y = -14 + 20. Give n(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -4. Let l = 10 + n. Suppose 2*h = 5*v - 3*h - 85, l*v - 53 = -3*h. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1641, 3290, 4939, 6588, 8237, 9886?\n\"Answer: 1649*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - d + 2*d - 2445 = 0, 0 = -3*m - 4*d + 1450. Let s = 1093 - m. List the prime factors of s.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 3, c: 3}. What is prob of sequence cck?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + 4*u)*(-3 + 2 - 2)*(-1 + 0 - 2).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 18247760?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 13 = -40. Let d = -4 - c. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -1 + 1 - -5) + -4 + -17.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*q - 2760*q + 954*q + 0*q**3 - 2*q**3 + 903*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (30\/(-15))\/((-10)\/50).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7*z - 8*z**2 - z**3 - 11*z + 2*z + 3*z**4 to w*z**4 + n*z**3 + f + u*z + j*z**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 76. Suppose -2*m + 189 = -37. Let y = -115 + m. Sort -3, -4, y, s in ascending order.\nAnswer: -4, -3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6890*h - 5*h**2 - 1128817 - 379501 - 865287.\nAnswer: -5*(h - 689)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*v - 4*v. Let u(x) be the third derivative of x**4\/24 + 3*x**3\/2 + 32*x**2. Let y be u(-12). Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 19. Let j be p(-4). Suppose -2*y - 3 = c, -3*c + y = -y - j. Sort c, 3\/5, 1 in decreasing order.\nAnswer: c, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12503202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1028 and -441.\nAnswer: 45.3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2 + sqrt(3) - sqrt(3)) + sqrt(3))*-3 + sqrt(15)\/(-1*sqrt(5))*-3)*4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 2206009?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/4)\/((-3)\/(-18)). Let o(w) be the second derivative of 0*w**5 - 21 - 11*w**2 + s + 29*w - w**5. What is the derivative of o(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29729 divided by -1\nAnswer: -29729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2253 - -4520. What are the prime factors of s?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 6:36 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -88. What is the remainder when 81 is divided by w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-1763.08\nAnswer: -1762.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*s - 6. Find the third derivative of x**2 + 8*x**s - 2*x**2 + x**3 - 6*x**2 wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40815080, -40815069, -40815056, -40815041, -40815024?\n\"Answer: n**2 + 8*n - 40815089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, y: 1, o: 6, j: 3, e: 3}. Give prob of picking 1 y, 1 e, and 1 o.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -167*r**2\/4 - 517*r\/4 + 151.\nAnswer: -(r + 4)*(167*r - 151)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/87039 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**2 + 19*z**2 + 28*z**2 + 25*z**2 - 87*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (23 - (-1 - 5)\/(-3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(320) + sqrt(20)))**2.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35283116 and 2152?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 48 + 33. Let y be ((-1704)\/(-36))\/((-2)\/(-6)). Let u = y + k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -506*y + 2054. Let a be l(4). Solve 37*t = -a*t + 65*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s. Let h(i) = -3*i. Let r(x) = -7*x. Let a = 127 - 78. Let d = 40 - a. Let z(n) = d*h(n) + 4*r(n). Determine l(z(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-54)*(-21)\/(-7)*-1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*u - 57. Let x = 7 + u. Let c be (9 + -8)*(0 - x). Solve -c = -m - 0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6344\/45 less than -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 12. Suppose -3*t - 6 = 0, -2*p = -0*p - t + m. Sort p, -2, 0 in descending order.\nAnswer: 0, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 9:32 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4133 or -4134?\nAnswer: -4134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16483 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 8*x - 112. Calculate the remainder when 686 is divided by v(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 9*u = -540. Let n = u + -34. What is the tens digit of (5 + -14)\/((-3)\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -7650, -7631, -7598, -7551?\nAnswer: -7490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3 - 253*p**2 - 5*p**5 - 12*p**3 - 3*p**5 - 8*p**4 + 14*p**3 wrt p?\nAnswer: -480*p**2 - 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 13014000014?\nAnswer: -13014000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -10822*x + 421922. Calculate u(39).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*v = 79 + 201 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -2\/11 (c) 0.3 (d) -6 (e) 223\/2 (f) 152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*b*r**3 + a*r**3*t - 1099*a*r**3 - 4*a*r**2*t - 3*b*r**3 - 51*b*r**2*t + 13*b*r**2 wrt r.\nAnswer: 6*a*b + 6*a*t - 6594*a - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 505\/6, -2, -1\/6 in descending order.\nAnswer: 505\/6, -1\/6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4146*s**6 - 2*s**2 + 1458 wrt s?\nAnswer: 497520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*c**5 + 14*c**3*m**3 - 5*c**3*m + 4*c**2 - 118346*c*m**3 wrt c?\nAnswer: -5460*c**2 + 84*m**3 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {g: 7, q: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 1.2. Let n = -25.9 + 25.6. Which is the closest to h? (a) 5 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155080299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -488 - -547. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or 26?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*k**2 - a**2*k - 6*a*k**5 + 2*a*k + 2*k**2 + 13*k wrt k?\nAnswer: -4*a**2 - 120*a*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (-2 + sqrt(539) + -4))**2 + sqrt(539))*5 - (-4 + (-1*(2 + sqrt(539) - sqrt(539)))**2).\nAnswer: 35*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20252022 (base 6) in base 15?\nAnswer: b7835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 388857.6734?\nAnswer: 388857.6734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, c: 4, t: 2}. Give prob of sequence vccv.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 46*v**2 - 407*v + 42. Let x be y(-34). Solve 0 = 6*b - x*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 75 = -0*r + h, 3 = -h. Suppose -2*u - r = -14*u. Let i(q) = 2*q**2 - 16*q + 7. Calculate i(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 42*n**2 - 105*n - 214. Is v(-44) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 0, 31 in descending order.\nAnswer: 31, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703459 to the power of 1\/2, to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + -16. Let i be 14\/10 + 20\/k. Let o = 0.8 + -4.8. Which is the second smallest value? (a) i (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from bhhhbbbhkb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*s - 199*s - 196*s - 39 + 589*s to m + x*s and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/4)\/y**(-5)*y**15*(y*y**(-12))\/y assuming y is positive.\nAnswer: y**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*w = -12, -t - 24 = 3*t + 2*w. Let c(f) = -f**3 - 5*f**2 + 7*f + 16. Calculate the least common multiple of c(t) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 215, -4 in descending order.\nAnswer: 215, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(-3*3*sqrt(931) - (4 + -3*sqrt(931)))*5)**2.\nAnswer: 8400*sqrt(19) + 838297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 38*o + 19. Let c be k(38). Solve -4*g - 3*w + 11 = 0, g - 3*w = -3*g - c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3703.2 - -3703. Let f = -0.05 + -1.95. Which is the third smallest value? (a) 0.1 (b) n (c) f (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -782*m**2 - 767*m**2 - 2*m - 3*m**3 - 9*m**3 - 785*m**2 + 2314*m**2 in the form j + v*m**3 + y*m**2 + b*m and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p - 43431 = 252*p + 267*p + 10*p for p.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f - 3f8?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 7 + -2 - (2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -18*y - 8. Let t be q(6). Let g = 426 + t. Suppose -g = -5*a + 325. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7264759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-8 + 0 - (92 - 96))) + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 4. Let w(g) = 2*g + 5. Let t(y) = -y + 1. Let k(v) = -5*t(v) - w(v). Let j be k(5). What is the remainder when i(j) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 - 5*d**3 + (-2*d**3 + 3*d**3 + 0*d**3)*(-2 + 3 - 2) to the form z + q*d + c*d**3 + h*d**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 divided by 227?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6838 - -6843. Let r(j) = 2*j**3 + 3*j**2 - 2*j + 1. Let q(c) = -3*c**3 - 7*c**2 + 5*c - 2. Calculate s*r(m) + 2*q(m).\nAnswer: 4*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a*z**3 - a*z**2 + 311760*a*z - 8619861*z**3 wrt a?\nAnswer: -3*z**3 - z**2 + 311760*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1090890 and 115.\nAnswer: 1090890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) 5 (c) 11.16182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47358.\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 71. Let s(b) = -14*b - 286. Determine 9*j(k) - 2*s(k).\nAnswer: k - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(-1\/2)*y)))**(-9\/2) assuming y is positive.\nAnswer: y**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243 (base 8) to base 16.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-6)\/27 + 112\/105. What is the second biggest value in 1, 0.1, v, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:20 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 - 395*g**2 - 49*g**2 - 108*g**2 - 653*g**2 + 27*g**2.\nAnswer: -1169*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161593971\/14495 - -17639\/2230. Let c = q + 11142. What is the common denominator of -83\/12 and c?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2943175 rounded to 4 dps?\nAnswer: 0.2943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1354, -2427, -3500, -4573?\n\"Answer: -1073*c - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-27))\/n*n*n)\/n)\/(n*(n**(-2\/39)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-1012\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-4)\/240)\/((352\/(-55))\/16)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31377?\nAnswer: 3, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/13, 2\/7, 21135365?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -7 + (3 - 1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1143, -2404, -3915, -5802, -8191, -11208, -14979?\nAnswer: -19630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a. Suppose -5*l - 47 + 18 = 4*j, 3*l + 3*j + 18 = 0. Let x(c) = -c**2 + 5*c. Let o(z) = l*q(z) - x(z). Let k(p) = 5*p. Calculate k(o(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 2:10 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*m - 27, 5*m = 9*m + 4*d - 32 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -124, -357, -682, -1099, -1608, -2209?\nAnswer: -2902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-1) - -3 - -14 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*4\/10 - 0. Suppose -t*n - 3*a = -a + 4, -4*n + 8 = -4*a. Let u be (2 + -4)*(-1)\/(-28). Do n and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834.4 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 1\/3*w**3 + 1\/24*w**4 - 1\/60*w**6 + 24*w**2 + 0*w - 1\/20*w**5 + 0. What is i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199351 - 138351. What is u rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -53*r - 3 + 92*r - 34*r + 3. Let g(o) = 1111*o - 2. Give u(g(i)).\nAnswer: 5555*i - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3645 is divided by 212?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - 91. Suppose 4*m - r = c, 0 = -4*m + 3*c + 93 + 14. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*x - 29*x. Let p = -1 - 0. Let m = -1.4 - p. What is the second smallest value in x, 3, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -7, 3, -0.4 in decreasing order.\nAnswer: 3, -2\/11, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/28 + (4 - (-436)\/28). What is the highest common factor of c and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 376*h - 1472.\nAnswer: -2*(h + 4)*(h + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnhhnnhnnnhhhnnnnn. Give prob of sequence nh.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(1\/12*-1). Suppose -12 = -6*o + n. Suppose 2*b = 114 - o. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99433 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6542.\nAnswer: 2, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -435.805 + 435. Let m = -0.8047442 - c. Round m to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 0 + 2*z**2 + 1 - 3. Let k(r) = -2*r**2 + 4*r + 2. Let w(n) = -5*n**2 + 9*n + 5. Let o(l) = -7*k(l) + 3*w(l). What is 2*o(a) + q(a)?\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5203)\/86*(-44)\/(-121).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**6\/120 + 3*t**5\/20 - 11*t**4\/24 + t**3\/2 + 16*t**2. Calculate the remainder when 38 is divided by x(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -29. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 450 + 422 = 5*h, 6*u - u + 9*h - 5*h - 7 = -41 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 29 and 20.6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 317044927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(0 + 5\/25). Suppose 833 + 1217 = c*x. Is x a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2.4968, 7, -0.4, -1 in descending order.\nAnswer: 7, 0, -0.4, -1, -2.4968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186 + 183. Let a = 10 - j. What is the nearest to -1 in a, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**3 + 4*d - 2. Determine w(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30085.9 - 30086. Let t = 0.2 + 0. Let s = -2 - -5. Which is the closest to t? (a) s (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303190000 rounded to the nearest one million?\nAnswer: 303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2a90b (base 12) to base 11\nAnswer: -4113a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Let u(o) be the first derivative of -7*o**5\/60 - 4*o**3 - 4. Let y(x) be the third derivative of u(x). Calculate b(y(l)).\nAnswer: 196*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 77 + (11 - (20 + 10 - 28))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 243160 and -234058?\nAnswer: 477218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496 divided by 6.\nAnswer: -248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {e: 7, v: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301818515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.215 + -122.215. Let t = o + 127.9. Let y = 5.3 - t. Which is the second smallest value? (a) 0.3 (b) y (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*z**3 + 29*d**3*z - d*z**3 + 6*d + 7*z**2 wrt d.\nAnswer: 12*d*z**3 + 174*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2871815?\nAnswer: 5, 574363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 21*r**2 + 11*r - 12. Let s(m) = -4*m**2 - 2*m + 2. Determine -11*s(o) - 2*z(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5356859367.\nAnswer: 3, 23, 353, 219931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 1453, 3227, 5687, 8827, 12641?\nAnswer: 17123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**50\/(u**(-5)*u*u**0))\/((((u\/(u*u**(-4)*u))\/u*u)\/u)\/u**(-1\/4))**41 assuming u is positive.\nAnswer: u**(-153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = 13. Suppose m*g - 2*g = 20. Solve -g*d = -4 - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let v(w) = -4*w**2 - 14*w + 19. Let q(g) = -g**2 - 5*g + 7. Let d(h) = -8*q(h) + 3*v(h). Determine d(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45571061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1410 + 18540 + 9011)*(3*h**3 - 3*h**3 - h**3) in the form d*h + f + z*h**3 + t*h**2 and give z.\nAnswer: -26141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (2 - 4)) + 3. Suppose -4*t = -8 - 0. Factor -i - i**x - 5*i + 8*i - i**t.\nAnswer: -i*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -29. Let y be (-29 + 4 + -2)*-1. Suppose -2*z - 9 = -y. What is the highest common factor of z and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from lpnxlfb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 8*q**2 + 29 - 57*q**2 + 19 - 2*q - 69 to g*q**2 + r + d*q and give g.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 245 (b) 0.4 (c) -5 (d) -6969 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 6 = 2*x - 5*z, -37 = -x + z. Let m = x - 10. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojoooooooj. Give prob of picking 2 o.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/13)\/(7839\/(-22646))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -23*u + 182. Give w(16).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -866, -1842, -3206, -4958, -7098?\nAnswer: -9626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755*y - 847*y - 9 + 441*y.\nAnswer: -1161*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmqm when four letters picked without replacement from mmqqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**25\/(u**(-2\/3))**(-9\/2) assuming u is positive.\nAnswer: u**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 1. Let d be q(3). Suppose -12 = -4*u, 2*u - 7*u = -3*v + 66. What is the remainder when v\/12 - d\/(-8) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149 - -133 - (-24 - 1) - (1 - 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8833290 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19344 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 2. Let l be 63\/(-28)*16\/f. Let m(u) = u**3 - 1. Let z be m(1). Solve -5*i + l*i = z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -50219.\nAnswer: -25109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82843 or -83218?\nAnswer: -82843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 695830 and 10430.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270334153.\nAnswer: 17, 271, 58679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37044755642 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81300299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -617\/2184 - 1\/312. What is the third biggest value in -8, -4\/5, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13020 + -4440. Is 286 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446632814.\nAnswer: 2, 23, 97, 199, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29490, -74022, -118554, -163086?\nAnswer: -207618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 16603*u. Let r(i) = -2*i**2 + 621. What is r(b(g))?\nAnswer: -551319218*g**2 + 621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 498 + -326. What are the prime factors of h?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-70)\/8))\/(10\/1800*36).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7 + -0.3. Let u = -0.84 + 0.94. What is the nearest to u in -0.3, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 116*q**5\/5 - 3*q**2 + 25*q - 210. What is the second derivative of s(v) wrt v?\nAnswer: 1392*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31827421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-166 + 13 - 183)*(5*z + 3*z + 0*z) to h + g*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 + -3.85. Suppose 4*j + 5 = -31. Let g be -1 - (j\/12 + -1). Which is the second biggest value? (a) x (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**2 + 93*r + 4. Let b be s(-6). Let g = 0 - -2. Calculate the highest common divisor of b and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.7573616.\nAnswer: -3.0294464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 691*m + 2. Let j(b) = -11*b**2 + 199. Calculate j(z(c)).\nAnswer: -5252291*c**2 - 30404*c + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212*d**2*g**2 - 27*d*g**2 + 2*d*g wrt d?\nAnswer: 424*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g + 0*g)*(-3 - 4 + 5) + (-g + 4*g + 3*g)*(-2*g + 3*g - 3*g).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3 = -t, -3*y + 185 = -58*t + 289 + 210 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9233114.73+3\nAnswer: 9233117.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1818570 divided by 27978\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 392? (a) 5 (b) -2 (c) 0.5 (d) -1\/4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2497\/4 - -12493\/20. Let w = -7 + 7.3. Which is the nearest to 2\/5? (a) f (b) w (c) 1\/26 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*h - 17*h - 79 - 89 + 29 - 23*h wrt h.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*y**5 + 498816*y**4 + 1885433632*y**3 + 2377815653504*y**2 + 6473676504768*y + 3451165884928 = 0. Calculate y.\nAnswer: -3778, -2, -8\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -609 minus 25050608668?\nAnswer: -25050609277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**13*v*v**(-2\/5))\/(v**(1\/8)\/v**4) assuming v is positive.\nAnswer: v**(-261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14426950, 14426958, 14426968, 14426980, 14426994?\nAnswer: 14427010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4*1\/(-10)). Let a = r + -2. Suppose -q + 4*s + 47 = -40, -a*s + 94 = q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = -c + 2*q, c + q = 0. Let n be (-4 - -9)\/c - (1 + -10). Let z(m) = -m**3 + 5*m**2 + 6*m + 1. Let u be z(6). Is u smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13571459*w - 919*w**2 + 465*w**2 + 457*w**2 + 13571459*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5027 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -47. Let q be 16 + -1 + -2 + -4 + g. Let f = -3 + 15. Is f greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 17906?\nAnswer: 1217608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1539) + -1 + sqrt(1539)) - sqrt(1539).\nAnswer: -4 + 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 897 and 535873?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + g + 2)*(-1 + 1 - 2*g**2)*(4 + 3 - 5)*(79*g - 98*g - 120*g).\nAnswer: 556*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149648 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5201014 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0*n - 3*s + 22, 5*n - 45 = 5*s. Let o = 0 + n. Suppose 2*h = 2*p + 2, -p - 2*h + o = -1. Solve u - 3 = -p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-348*x + 34222 - 34222)*(2*x**2 - x + x).\nAnswer: -696*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 6. Let i be (-15)\/(-2)*(-4)\/(-5). Let w be p(i). Suppose -2*q + w*q = -16. What is the smallest common multiple of 18 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6606171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28784\/5 - 2763739\/480. Calculate the common denominator of n and 131\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04125 - -22.05125. Let g = 22 - a. Put -2\/7, -0.2, g in descending order.\nAnswer: g, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82151 and 472114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/4 - 45*w**2\/2 + 225*w - 750 = 0. What is w?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - (15 + -7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3458*z**2 + 53383*z.\nAnswer: 6916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/3 + 4 - -1. Let t be (0 - (-2 - -3)) + u. Let r be 2 + ((-2)\/(-2))\/t. Is 3 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.2 - 30. Which is the closest to -2? (a) -0.5 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 17. Let m be r(10). Solve -4*h = -3*k + 4, -k + m = -4*h - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 34 + 44 = 3*x + 23, -h = -30*x - 28 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 484 + 9*l**4 - 247*l + 242*l + 2*l**3 - 964 + 5*l**2 + 483 in the form w*l + f*l**3 + m*l**4 + d + u*l**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b*f + 34*b + 1028352*f - 34739 wrt f.\nAnswer: 3*b + 1028352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4593562?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**7\/70 + 7*n**4\/4 + 252*n**3 + 2*n**2 + 285*n. Differentiate p(g) with respect to g.\nAnswer: 12*g**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -1609 + 1573 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 83. Let w = v + 53. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Suppose -4*q = -q. What is the closest to y in 4, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21110001002211 - 11?\nAnswer: 21110001002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 89493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Let f = 2.2 + -2.6. Suppose -7*s = -3*s - 4. What is the third biggest value in s, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 1. Let d = 48357\/2 - 24177. Let o(v) be the second derivative of -15*v + 0 + 3\/20*v**5 + 1\/4*v**4 + d*v**2 + 0*v**3. Give -2*a(t) - o(t).\nAnswer: -3*t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:41 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23531 = -288*u + 40*u + 116837. What is the highest common divisor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 4*z, -5*l = 5*z - z - 25. Let h = 289 - 292. Sort l, h, 2.\nAnswer: h, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1350, -0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = x - 39, 2*h - 90 = -7*x + 11*x. Calculate the remainder when h is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -53596681358.06 and 62.\nAnswer: -53596681296.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354766 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*b = -2 - 12, o = -4*b + 12. Let v(w) = w**3 + 8*w**2 - 11*w - 13. Let z be v(-9). Put o, z, -3\/4 in increasing order.\nAnswer: -3\/4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -432469*l + 1297413. Determine p(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 - -198. Does 28 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2, -43*r + 41*r = 2*b - 608. Let x(f) = f + r - 151 - 152 + f**2. Give x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**8\/1680 + i**4\/6 + i**3\/6 - 2*i**2. Let w(r) be the first derivative of j(r). What is the derivative of w(x) wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 19. Let v = 19 + x. Solve 2*i - w = v, -3*w = 3*i + 16 - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112364 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 93644617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {w: 1, v: 1, d: 1, u: 1, c: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - d + 0*d + d. Let b = -17 + 18. Let f(n) = 2*n. Let x(q) = -q. Let a(h) = b*f(h) + 3*x(h). Calculate s(a(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*k - 2*k + 0 + 0 + (-1 + 2*k + 1)*(0 + 5 - 3) - 21*k - 9*k + k in the form h + i*k and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190) - (sqrt(190) - sqrt(190)*2 - sqrt(190)))*5 + sqrt(190))\/(sqrt(10) + (sqrt(640)*2 - sqrt(640)) + sqrt(10)).\nAnswer: 17*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1232047mg in nanograms?\nAnswer: 123204.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -11143*h**6\/120 - 10781*h**5\/60 + 4*h**2 + 23*h - 28. Find the third derivative of d(k) wrt k.\nAnswer: -66858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2392 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/7, -21\/4, -3, 0.1, 2 in decreasing order.\nAnswer: 3, 2, 1\/7, 0.1, -3, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 4. Let s = -3 - -1. Let y be s\/(-3) + 40\/12. Let j be z(y). Solve 0 = -2*p + 4*m - j, 0 = p + 2*m + 3*m - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 41, 20, -7?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 + 28*k**3\/5 - 98*k**2\/5 + 68*k\/5.\nAnswer: 2*k*(k - 2)*(k - 1)*(k + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 16*n - 574 = 1186. What is the greatest common factor of 176 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*f**2 + 0 + 0*f = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*s + 36*s + 124*s**2.\nAnswer: 124*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/108931 or 1?\nAnswer: 16\/108931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*x + h, -3*x + 8 = -h - 9. Suppose 4*n = 16, -4*j - 3*n - 2*n + 60 = 0. Calculate the greatest common factor of j and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5648 + 77167.6.\nAnswer: 71519.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjtmmxmpmmmmtggmmm. Give prob of picking 1 x, 2 g, and 1 p.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 7\/12*f**4 + 0 + 1\/6*f**3 + 9\/2*f**2 + 1\/20*f**5 - 6*f. Determine k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 + -50252.990565.\nAnswer: -49910.990565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 + (-5 - 0). Let h = 46 + i. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - w + 259 = 4*w, 2*w = i + 87. Let k = i + 158. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = b, -4*t = t. Solve 4*z = 12, -2*p + 3*z = -b*p + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 963180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 4 = -3*a. Suppose -a = 3*x - 34. Let s(z) = -5*z - 1 + 5 + 3*z - x*z. Let f(p) = 6*p - 2. Determine 9*f(n) + 4*s(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34626 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2062, -2415, -2768, -3121?\nAnswer: -3474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.301724 centuries to millennia.\nAnswer: 0.9301724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/(16\/12)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 312*k**3 + 1661*k**2 + 1833075*k wrt k.\nAnswer: 1872*k + 3322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -1\/3*w**4 + w - 1\/20*w**5 - 5\/2*w**2 + 5\/6*w**3 + 0. Is 16 a factor of y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 3. Let v be i(-2). Let m be v\/(-9)*4905\/6. Let t = 91 + m. Which is the third biggest value? (a) t (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 - 118. Let z = b + 0. Let k(n) = 2 - 2 - 8*n - 1. Calculate k(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 159 = -5*w, -3*w + 5*p = -6*w + 75. Suppose -d - 2*d = -w. Suppose -2*z = -5*z + 3*q + 21, q = 2*z - d. Solve 0*b = -b - z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 6}. Give prob of picking 2 c and 2 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 18 - (13 + 2 - 68)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*t + n - 383, 0*t - 5*t + 70 = -4*n for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 22 + 4. Which is greater: y or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -65, 41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04676 - -0.14676. What is the nearest to -8 in h, -1\/30, 2?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 45. Suppose 0 = -14*j - 7*j - 357. Give x(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 23636*y + 29829242. Calculate h(1201).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 12. Let s be r(0). Let h be (0 - -3)\/(-3 - (-14)\/4). Let u be (11\/((-99)\/h))\/(12\/(-90)). Solve -u*o + s = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 + 8 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272775, 272666, 272557, 272448, 272339?\nAnswer: 272230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 28. Let y be f(15). Suppose -15 = -3*b + 4*v, 0 = -5*v - 9 - 6. Put y, b, -6, -1 in decreasing order.\nAnswer: b, -1, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - -1) - -26 - (-260 + 263)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 9. Let w be p(9). Suppose -d - 13 + 14 = w. Calculate the least common multiple of d and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in 34, 36, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d - 2*d)*(-1 - 1 + 0)*(-1824*d**2 + 440*d**2 + 469*d**2)*(-d + d + 3*d).\nAnswer: 10980*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 4*f + 16852. Let i = f + -907. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/80*-4)\/(3\/4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8101753, 16203507, 24305259, 32407009?\n\"Answer: -i**2 + 8101757*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -731*q**2 + 1424*q + 470. What is the first derivative of c(b) wrt b?\nAnswer: -1462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.8896\nAnswer: -0.35584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2 + 2*o**2 + 3 - o**2. Suppose 0*q + q = -5. Let l(j) = -j**2 - 4*j + 5. Let a be l(q). What is u(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -189, -388, -649, -966, -1333, -1744, -2193?\nAnswer: -2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/10 (c) -7 (d) 6 (e) 4 (f) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 150 = -160. Suppose -5*t = -6 - 9. Suppose a = 2*f - a - v, 0 = -2*f + a + t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*4\/24)\/((-4)\/(-9))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2835)*-1)\/(sqrt(20)\/sqrt(16))*-6)**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 5*t + 30, 0 = -v - t + 6*t - 15. Suppose 10 = -g - 4*g - v*n, 2*g = 2*n - 8. Sort 5, g, -1, 1 in decreasing order.\nAnswer: 5, 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -2\/11, 109, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/(74\/148*13\/(6643\/28))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-33)\/9)\/(1\/(-3)). Let u = m + 4. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/44 and -145\/1770822.\nAnswer: 38958084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7200611*w**3 + 3600310*w**3 + 3600304*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*i + 10, 0 = o - 2*i - 2*i. Find the common denominator of 2\/12*(-58)\/o and -63\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*l = -73 + 1479, -3*l = 15. Calculate the remainder when s is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(20) - sqrt(20))*3)\/((sqrt(250) - sqrt(10))*-2) + (sqrt(8) + 1*sqrt(200))\/(sqrt(4) + sqrt(32)\/(2*sqrt(8))) + -2.\nAnswer: -2 + 13*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - 70) + 128 + (1 - 0) + (-23 - 0).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63382523 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 93 = 4*m + u, 0 = 3*m + 3*u - 36. Let y(g) = 14*g - 4*g - 4*g + 4 - 7*g. Calculate the remainder when m is divided by y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1baa3 (base 13) in base 6?\nAnswer: -1100315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15374 (base 8) to base 13.\nAnswer: 31b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -847.275 or -4?\nAnswer: -847.275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 - 344*f**2 - 8700*f - 53352 = 0. What is f?\nAnswer: -39, -38, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232755913.\nAnswer: 1232755913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 6*z**2 - 8*z - 3. Let v(h) = -15*h - 5. Let q be v(-1). Let p = 3 - q. Calculate o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5))**(14\/3)\/(r**(2\/3)\/r**(1\/2))*(((r*r**(-1\/7)*r)\/r*r*r)\/r**(-7))\/(r*r**(2\/7)*r)**(-43) assuming r is positive.\nAnswer: r**(22283\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200012101 + -1002?\nAnswer: -200020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.3. Let a = -0.45 - -0.45. What is the closest to a in -0.4, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 - y + 7 + 6*y**3 - 5 + 3*y to f*y**2 + x*y**4 + r + m*y**3 + b*y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l - m + 35061, 0 = -2*l - 3*m + 35055. What are the prime factors of l?\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttrrtt. What is prob of sequence rt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5 + 9. Let h(m) = m**3 - 8*m**2 + 8*m + 5. Does 6 divide h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Let h(q) = q**2 - 3*q - 3. Give h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020 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: Let o(q) = q**2 + 6*q - 5. Let h be o(-8). Solve -5*m + 10 = 3*k, 9 = 3*m - k - h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -103? (a) -1.5 (b) -5 (c) 0.4 (d) 1\/105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -666 + 670. Let t = -0.03 - 0.97. What is the closest to -1 in -5, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-15)\/t*t**(-2\/11)*t*((t\/(t*t**2*t))\/t)**(-18\/11) assuming t is positive.\nAnswer: t**(-95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-15))\/(16\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -16. Let g = o - 13. What is the remainder when 134 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-66)\/30 + 1). Which is the smallest value? (a) 4 (b) g (c) 176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 12. Let z be c(9). Suppose d - z*p = -11*p - 23, 5*d - 35 = 5*p. Factor 8\/7*x**d - 2\/7*x + 6\/7*x**3 - 4\/7.\nAnswer: 2*(x + 1)**2*(3*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5\/9 + 28298*y**4\/9 + 113264*y**3\/3 + 113288*y**2 = 0?\nAnswer: -6, 0, 14161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y - 9. Let a(z) = z**3 - 15*z**2 - 6. Let l be a(15). Let c(f) = 3*f**2 - 2*f. Calculate the lowest common multiple of c(2) and s(l).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -7.5, -0.5, -1 in descending order.\nAnswer: 0.1, -0.5, -1, -7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 1)\/(-4) + 113. Let g = -114 + u. Let q(k) = -k**3 - 5*k + 179. List the prime factors of q(g).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 + -203. Let x(w) = -4*w**2 + w**k + w - 3*w**2 + 0*w**2. What is x(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k + 5*j - 4, -2*k - 8 = 4*j. Is 50642*(6 + k)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 + 791*r - 4105. Determine q(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + -1.7. Let l = 1 + -2. Let x = -59\/2 + 29. What is the nearest to l in x, y, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/4)\/((-1)\/(-2)). Let t(g) = -14*g - 57. Let i be t(-9). Suppose -d = d + 5*f - 27, -u*f - i = -4*d. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 + 404181*z + 163362280761\/2.\nAnswer: (z + 404181)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000111592021 rounded to 7 dps?\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 43. Suppose 67*g - 9 = 64*g. Let z(n) = 3*n - 8*n**2 - 2 + 5*n**2 + g + 2*n**2. What is z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*x**2 + 4*x - 2 - 2*x**3 - 100*x**2 - 104*x**2 + 2*x**4 in the form q*x + f*x**2 + j + p*x**3 + u*x**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 - 41*k - 11. Let m(z) = -16*z**2 + 117*z + 34. What is 4*m(q) + 11*y(q)?\nAnswer: 2*q**2 + 17*q + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 966 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, b: 1}. What is prob of sequence mbmm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 3367 and 543 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 8*l**2 - 8*l + 1. Let n be m(-9). Let j(r) = 7*r + 2*r**2 + 6*r**2 + r**3 + 2 + r**2. What are the prime factors of j(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5023 (base 7) to base 16\nAnswer: -6c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llc when three letters picked without replacement from {c: 5, l: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*k**3 + 64\/7 + 416\/7*k + 124*k**2.\nAnswer: 4*(3*k + 1)*(7*k + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/11)\/(u*u**(-1\/5))*u**10\/u**(-15) assuming u is positive.\nAnswer: u**(1326\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 4. Suppose 29*v - 150 = -v. Let l(t) = -4*t + 13. Let k(j) = v*o(j) + l(j). Let d = 8 - 3. Calculate k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 x when four letters picked without replacement from rrxrhrrrxrxrrrxxrx.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9828677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 9*n + 5\/2*n**3 + 0*n**2 + 0 + 5\/6*n**4. Find the second derivative of w(z) wrt z.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158979790.\nAnswer: 2, 5, 701, 22679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*f + 120 = 0, -a - 4*f = -2 - 16. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241965 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 16*p**2 + 13*p + 19. Let d be t(-7). Find the first derivative of 8 + d*g**4 - 176*g + 176*g wrt g.\nAnswer: 104*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*j = -313*l + 308*l + 76*j + 20, -5*j = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 565829 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(847) + sqrt(847)))**2 - (sqrt(112)\/sqrt(4))**2*5.\nAnswer: 54068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -67. What is the least common multiple of l and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2\/2 - 14*p - 51. What is w(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*s - 6060 - 1141 - 1531 = 5268 for s.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*x - 486 + 486 + 837*x to the form i*x + a and give i.\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.175 + 0.14. Let y = 2.207 - 2.142. Let n = y - p. Is n at most 7.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284289615 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: Calculate -11*-0.2851.\nAnswer: 3.1361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from utuututttuttu?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.07, -1148, 871?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 6}. What is prob of picking 1 f and 3 x?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*t, -12*t = -x - 16*t + 315. Let k = x + -71. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k - 79*k + 14896 = 64*k + 204*k for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18112 and 88?\nAnswer: 199232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 618571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 2*s**2 - s**2 + (-4*s + 4*s + 2*s)*(4*s - 4*s + 3*s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.032 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680166?\nAnswer: 2, 840083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7525ba + -17?\nAnswer: -7525d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 1442?\nAnswer: -6\/721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.29 and 642573.\nAnswer: -2114065.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402531762.\nAnswer: 2, 3, 67088627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 139706, 139698, 139690, 139682, 139674?\n\"Answer: -8*s + 139714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-12) - (-2)\/1)\/(574\/52808)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1))\/s)**4\/((s*s*s**(-4)*s*s)\/(s*(s\/(s**5*s*s*s))\/s))*(s*(s*(s*s**(-1\/11))\/s*s)\/s*s*(s*(s*s*s**5)\/s*s)\/s)**23 assuming s is positive.\nAnswer: s**(2386\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36084*r**2 - 36082*r**2 + 108249*r**2 - 36081*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 16*h - 1024*h**2 - 179*h**2 + 17*h)*(-33 + 111 + 38).\nAnswer: -139548*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7366 and 638?\nAnswer: 81026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*p = -32, 8*p - 6*p = -3*v. Solve -11 = l - 3*x - 2, 4*l - v*x + 20 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 5}. Give prob of picking 1 k and 2 y.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1295 and 482264734?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 339*r**4\/4 - 559*r + 605. What is the first derivative of m(w) wrt w?\nAnswer: 1017*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*m - 695*m + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3997 + 21700. Let a = d - 10003. What is a rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1\/5 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**2 - 5*s + 5. Let d(c) = 6*c**2 + 4*c - 4. Let r be 20\/(-6)*21\/(-14). Let y(i) = r*d(i) + 4*x(i). Let m(o) = -2*o. Give m(y(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 1, 4.\nAnswer: -48, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 3*o - 4*o + (-1 + 3 - 4)*(-4*o + o + o) - 1161*o - 2754*o - 1508*o to r*o + m and give r.\nAnswer: -5422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/113145 and -181\/403560.\nAnswer: 160213320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*c + 8. Let i(s) = -s**2 + 6*s + 2. Calculate the least common multiple of 6 and i(c).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29536 divided by -12714\nAnswer: -1136\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 9:39 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 10) to base 16.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11056437 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*((-2)\/(-12))\/((-76)\/(-152)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 49, 38, -11, -110?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t**3 - 2*t**2 + t + 3. Let b(u) = u**2 - u - 1. Let l(d) = -2*b(d) - k(d). List the prime factors of l(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2038 + 2890. Let s = -510 + j. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2132 divided by -4\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let m(j) = 2*j**2 + 2*j. Let b(g) = m(g) - 2*y(g). Let x(w) = -25*w. Calculate x(b(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27050 and 0.1?\nAnswer: 2705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*g - 25. Suppose 0*w + 110 = 5*w + a, -w - 5*a = -22. Solve -c = 5*v - g - w, 2*v - 4*c - 2 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66684897 to the nearest integer?\nAnswer: 8166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.02, 1, 0.1, -321 in descending order.\nAnswer: 1, 0.1, -0.01, -0.02, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibblblblbibbli. What is prob of sequence ll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, q: 1, x: 7, u: 1}. What is prob of picking 2 x and 2 r?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2, -1 in ascending order.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92521 is divided by 1719.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006440064 to 5 decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.047 + -1.07442. Let u = -0.35112 - d. Round u to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*v + 27, -4*g = v - 9 + 30. Let k be (g\/(-4))\/((-33)\/(-154)). Find the second derivative of -k*x + x**4 + 0*x**3 + 0*x**3 + x wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 765 and 935?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1831, 1832, 1831, 1828, 1823?\n\"Answer: -x**2 + 4*x + 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. Let u = -1 + v. Let g be 111\/15 + -3 + -4. What is the closest to u in g, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -880.3?\nAnswer: -880.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25463227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 14*l**2 + 2. Let k = 36 + -22. Let b be o(k). Calculate the greatest common divisor of b and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 3*v + 3. Let l = -6 + 3. Calculate the remainder when s(l) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*a + 37024669 = 8768629. Round a to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4679424 and 1559808?\nAnswer: 4679424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t**2 + 4*t**2)*(13*t - 7*t**2 - 13*t)*((-3 + 5 - 1)*(-7*t + 3*t + 7*t) + (4 - 4 - 4)*(-5 + 2 - 1)*(2*t + t - 2*t)).\nAnswer: -266*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 22. Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + 2. Let c be f(-7). Let s = 20 + c. What are the prime factors of (-2 - -5 - -110) + s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 21*d**2 - 54*d.\nAnswer: 3*d*(d - 2)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -33 + 5*y + 39 - 2*y. Suppose -3*i = 3*x - 24, 2*x - 5*i - 25 = -10*i. Let j be s(x). Calculate the greatest common factor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 688, 703, 724, 751, 784, 823?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4688)\/(-20) - (-2)\/(-5). Suppose -3*o + 4*z + k = 0, 5*z - 179 - 176 = -5*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 1659. Let p = 179 + x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3686*u - 7337. Calculate a(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 8a?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2. Let y(r) = r**3 + 5*r**2 + 2*r - 5. Let s be y(-4). Let d(x) = s*x - 5*x + x. Give d(f(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85.65 + 64.6. Let f = -21 - r. Let i = -0.8 + 1. What is the nearest to f in 2\/3, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15377024, -15377037, -15377058, -15377087, -15377124, -15377169?\nAnswer: -15377222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 228\/235?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*j = 8 + 18, 3*j + 12 = 0. Let f(d) = d**3 + 12*d**2 + 18*d - 19. Let l be f(x). What is the tens digit of 9 + -11 + l*83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8 + (-195)\/20 - (-3904)\/610?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 893\/4 in -4, 2, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111677 to the power of 1\/2, to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -6*c + 1. Let t = c + 7. Let k(d) = d**3 - 5*d**2 - 7*d + 8. Give k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - y + 4. Let p be f(2). Suppose -5*a = -3*c, -3*c + 2*a = p*a. Let o(u) = -u + 7. Let i be o(c). Solve 5*d + 3 = -i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1170 + 2554?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 8) + -4 + (-143)\/65\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5842*j**5 - 14*j**3 + 131*j + 288 wrt j?\nAnswer: -116840*j**3 - 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8*o)**44 assuming o is positive.\nAnswer: o**396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from ffwwfpfifiif?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-4*a + 2*a + 0*a)*(-9*a**2 + 0*a - 2*a + 7*a**2).\nAnswer: 4*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - c)*(-2 + 2 + c) - 7*c**2 + 17*c**2 - c**2 + (2*c + c - 9*c)*(-c - 1 + 1) + 0*c**2 + c**2 - 3*c**2 as d*c**2 + z + q*c and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (-2 + sqrt(147) + sqrt(147) + sqrt(147) + (-1 + sqrt(147) - sqrt(147)))**2) + 4 + -5 + ((sqrt(147) - (1 + sqrt(147))) + 3)**2.\nAnswer: -1329 + 133*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 72*d + 504 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -10011?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 6*l + 2. Suppose 4*t = 20, -2*s + 2 = 5*t - 3. Let r be 10\/3*(-12)\/s. Let m be z(r). Solve -2 - 14 = -2*f + 3*u, -5*u - m = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 123.6 (b) -15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 4*z**2 - 2*z - 3. Let p be ((-82)\/(-6))\/((-5)\/(-15)). Suppose 0 = 4*c - 8*c + 5*k - p, -c - 5*k = -21. Give h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-12))**(-6\/13)\/(j\/j**(-32))**8)**(-18\/5) assuming j is positive.\nAnswer: j**(63288\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-4 + 3 + 3) + 3 + 0 - 1)*(-p**4 - p**2 + p**2 + (-p**2 + 0*p**2 + 0*p**2)*(-p**2 - p**2 + p**2) + 276*p**4 - 178*p**4 - 177*p**4).\nAnswer: -474*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2331 + 4\nAnswer: 3.7669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 times -0.5?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -5, 3, -0.01, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(1053) + 1 - (1 + -2*sqrt(1053))*-2)**2 + -4 + -5.\nAnswer: -216*sqrt(13) + 9484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + -1 + (-4 - -1). Let z(r) = -2*r + 21. Let o(k) = 1. Let m(i) = 5*o(i) - z(i). Let u be m(10). Solve u*n - c - 16 = 1, 4*c + j = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h + 8 - h + 9*h - 22*h. Suppose 43 + 7 = 2*x. Calculate the lowest common multiple of x and m(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38, 54, 80, 116, 162, 218?\n\"Answer: 5*y**2 + y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, 14, -0.124, -0.03, 5 in increasing order.\nAnswer: -0.124, -0.03, 10\/7, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 10, 0 = 5*g - 5*j - 130. Calculate the smallest common multiple of 57 and g.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:59 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*t - 4*p, 4*t + 11*p = 12*p + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-4) - (0 - 0). Suppose m = f - 5*f. Suppose f*s - 2*s = -4. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f + 209 = 34 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebb when three letters picked without replacement from {v: 1, e: 12, b: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3904432258 to the nearest integer?\nAnswer: 62485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253668?\nAnswer: 2, 3, 21139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 15, 75, 7 in descending order.\nAnswer: 75, 15, 7, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + 665*j + 502. Calculate m(167).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - z - 5)*(-1 - 1 + 4) - 13 - 7*z + 13.\nAnswer: -9*z - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -565*j**2 + 1863*j - 513. Give k(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 7) + (-6 - (1 - (7 + -2)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 15*d - 97)*(1 - 1 - d).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 minus -0.484?\nAnswer: -8.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*h + 756 + 288 - 504. Let f(p) = p**3 - 17*p**2 - 19*p - 44. Calculate f(h).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64648707 is divided by 596?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n - 80. Give q(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 4*l + 1. Suppose -4*q + 20 - 6 = 2*r, 3*r = -q - 4. Let p be j(r). What is the highest common factor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15910*g*k**3 + 225*g*k**2*p + 269*k**3*p - 2*k**3 wrt p.\nAnswer: 225*g*k**2 + 269*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 - -895. What are the prime factors of d?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3401184, 6802367, 10203550, 13604733?\n\"Answer: 3401183*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 23\nAnswer: 24\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2 - 5*m + 9*m**3 - 8*m**3 - 4*m**2 + 2*m**2. Let v be c(4). Suppose 23 = 7*g + 16. Is v at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.8 - 0.2. Let t = 10 + d. What is the third biggest value in t, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 24. Let n be 4*m*4\/120. Let z be 28\/(-48) + (-30)\/(-40). Which is the second smallest value? (a) z (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 1273 in decreasing order.\nAnswer: 1273, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4076, 8480, 12870, 17240, 21584, 25896, 30170, 34400?\nAnswer: 38580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -373, 0, 2, -1792, -6 in decreasing order.\nAnswer: 2, 0, -6, -373, -1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 - 52 = -4*y, 5*g - 23 = -3*y. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/8 - (-1)\/(-4). Suppose 3 = -r*a - 2. Calculate the common denominator of -2 - (381\/(-30) - a) and 77\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27482 + -6a?\nAnswer: 27415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1)*1 + -1. Let l be 1 + 1 + 130\/q. What is l rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 29410, -756 in descending order.\nAnswer: 29410, -0.3, -756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 0, 3*d - 3*n - 522 = 480. Let i = d + -335. Factor -1\/5*w**4 - 1\/5*w + i - 3\/5*w**3 - 3\/5*w**2.\nAnswer: -w*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 257 - 258. What is the smallest value in 0.3, l, 2\/13, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*s - 36985 = 124686. Let p = -28 - -40. Suppose -5*c = 4*z - 1249, -p*c = -7*c - 2*z - s. What are the prime factors of c?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616685 - 5864633 = -4*k. Suppose -5*l + k = 2*g, -5 = 2*g + 3. Suppose -4*p - 2*x = -1560010, -5*p = 3*x - 1687616 - l. Round p to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 8*w + 10. Let n be (w\/(-2) + -2)*-3. Let j(a) = -a**3 + 4*a**2 - 3*a + 4. Let p be j(n). Calculate the highest common factor of p and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 - 3*o - 4. What is i(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*u + 805*u = -16, 4*u + 136 = 15*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 4\/287, 2\/21, 4?\nAnswer: 4\/287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 1. Suppose -6*r = -r - 25. Let f(o) = -12 + 2*o + 9 + 7 + 1 + 0*o. Give r*m(t) + f(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 13) in base 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5615 or -5614?\nAnswer: -5614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 12 = 2*a. Calculate the smallest common multiple of 4 and -2*3\/(18\/a).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a. Let f(y) = -2. Let l(g) = g - 1. Let q(x) = f(x) - 2*l(x). Let c be -4 + 1 + 2 + 6. Let u(p) = p. Let d(r) = c*q(r) + 8*u(r). Give s(d(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 2.1. Let x(m) = -m + 6. Let v be x(11). What is the biggest value in a, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 488 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -120 and 5.51?\nAnswer: -661.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 12*h - 12. Calculate b(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.7. Which is the nearest to -2\/5? (a) 0.1 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let w(c) = 10*c**2 - 5*c. Let j(a) = 5*u(a) + w(a). Let z(p) = 6*p. Give j(z(i)).\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6356710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.3 - -45. Let x = n + 2.7. Let h = 66 - 261\/4. What is the nearest to 1 in x, -0.03, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 866 divide 194850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f**2 - 544836*f - 4359197. Determine g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(27)\/(sqrt(9) + (sqrt(9) - sqrt(144))) + -3*-1*sqrt(3))*-2)**2 + -4 + 3 + sqrt(24)\/sqrt(2) + -4.\nAnswer: 2*sqrt(3) + 295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-5 + -1 + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2871 divided by 11\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -7*r**3\/6 - 7*r - 83. Let g(h) = -21*h. Calculate g(k(c)).\nAnswer: 147*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 50, 163, 356, 647, 1054?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 9:08 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -45. Suppose h*a - 19 = 81. Solve a*v + 2 = -18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1638\/221*(-13124)\/(-2316)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 22352, 3, -6, 1 in descending order.\nAnswer: 22352, 6, 3, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 4:28 AM?\nAnswer: 518","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 171?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 2\/127, 3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -82876 (base 9) to base 15\nAnswer: -112e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 52\/14 - ((-10)\/35 - 0). Is q + (-98)\/(-1)*(2 - 1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2121 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + 3*r + 4. Let c be x(3). Suppose 76 - 99 = g + 4*d, 2*d + 14 = 0. Solve y + 0*y - g = 3*f, 4*f - c = 4*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 + -166. Let w = i - -106. Let k(f) = -14*f**2 + f**w + 23*f**2. Let g(j) = -2*j**2. Calculate k(g(q)).\nAnswer: 40*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16 - -1)*(2 + -9). Suppose -2*q = -r - 55. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59860866 by -4604682.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 11*l**4 + 19*l**3 - 15*l**2 - 13*l + 16. Let h(o) = 6*o**4 + 2*o**3 - o**2 + o + 1. Let k(x) = -c(x) + 2*h(x). Let k(g) = 0. Calculate g.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 629 - 609. What is the remainder when 74 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 9947?\nAnswer: 49735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*h - 308*h = -42336. Calculate the greatest common factor of h and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*k + 3*k**2 - 26*k - 26*k + 77*k**4 + 83*k - 3 + 4*k**2 in the form c*k + z + y*k**4 + m*k**3 + a*k**2 and give y.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 28 = 3*z, 3*z - 2*u = -z - 20. Let x = 15 + z. Suppose 3*c + 2*r = -r + x, -2*c + 2*r = -10. Solve c*k = -0*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192 + -2111\/11. Let m = 2 + -1.8. Let o = -0.107 + 0.127. What is the third smallest value in m, o, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 273614.3 centuries?\nAnswer: 328337160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmmr when four letters picked without replacement from {z: 3, k: 2, m: 5, r: 5, l: 5}?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3197584 or 1\/4?\nAnswer: -3197584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 7:45 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t - 5*s = -41*t + 20, -2*t + 4*s = -14. Let v = -3 - 1. Sort v, t, -3.\nAnswer: v, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130748.4 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14870010 by -7435005.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-2))\/(-7) - (-2 + -188). Let s = y + -141. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479827, 479764, 479665, 479530?\nAnswer: 479359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 35 = b - 32, -7 = b + 5*g. Solve -t = b*x + 18, 0 = -4*t + 8*t + 5*x + 37 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -3*d**4 - 12*d**3 + 6840*d + 6896. Find the first derivative of t(r) wrt r.\nAnswer: -36*r**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -4. Let y = 8.0000003 + f. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:45 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107? (a) -8 (b) 122 (c) 3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 - 6*d**3 - 6 + 4*d**3)*((-2 - 1 + 2)*(5*d - 3*d - d) - 5*d + 4*d - 2*d) as r + m*d + i*d**4 + g*d**2 + b*d**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38010000 = -3*q + 6*q. Round q to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17790*q + 35582*q - 17794*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-12))\/((-3)\/4). Put -1, -5, i in decreasing order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 8. Let k be u(7). Suppose 4*z - k = 5*z. Let f = 1 + z. Solve 5*x - x = f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 4\/28 + (-4)\/28. Suppose -3*r = -2*j + 2113, -5*r = b*j - j - 1089. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-4)\/(-2)) + 15. List the prime factors of (0 + -12)*(-15)\/t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(16)\/(sqrt(98) - sqrt(2)))\/(sqrt(4) - (sqrt(324)*1 - sqrt(324))).\nAnswer: sqrt(2)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 11 + (1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -391\/5 smaller than 172970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i + 2 - 2 - i as a*i + w and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 115.\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37623014 - -3.394?\nAnswer: -37623010.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 4. What is the least common multiple of 7 and 11\/22 - (-2)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56.1 - -58.222. What is l rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -343, 38011?\nAnswer: -343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(832) + sqrt(832) + sqrt(832))*4.\nAnswer: 4 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440572?\nAnswer: 2, 11, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141833311?\nAnswer: 5417, 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/125 in -1\/4, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 1:37 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f. Suppose f = -o + 5*o - 2*u - 66, 2*u + 84 = 5*o. Suppose -3*g + 6 + o = 0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102002 - 2222?\nAnswer: -112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 + 14 = 0. Suppose -3*v + 5*v + 2 = 2*s, 4*v - 20 = -2*s. Suppose -2*t + 11 = -v. What is the smallest common multiple of t and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(20\/9)\/(a*a\/(a**10\/a)))\/((a*a\/(a\/(a*a**(-19)*a)))\/a)**(29\/5) assuming a is positive.\nAnswer: a**(4852\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 120, 497, 1124, 2001, 3128, 4505, 6132?\n\"Answer: 125*a**2 + 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22.7084 or 74?\nAnswer: 22.7084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95656640 to the nearest integer?\nAnswer: 9780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/5 (b) -3\/2 (c) 1\/2 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 738840 times -0.1?\nAnswer: -73884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by -6705.\nAnswer: -43\/6705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -23. Suppose 10*p - i*p - 1288 = -5*b, -2*b + 522 = -3*p. List the prime factors of b.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45\/148 - -2\/37. Let s be -5*7\/((-35)\/(-6)). Let u be ((-4)\/s)\/((-4)\/6). Are v and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 + 6*l - 5. Let a be g(4). Suppose 0 = -a*u + 7*u - 8. Suppose -7*i + 5 = -u*i, 2*k - 4*i = 0. Solve 3 + 3 = -k*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2071, -2184, -2323, -2500, -2727?\n\"Answer: -2*x**3 - x**2 - 96*x - 1972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 86 = -2*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*n + 3 = 0, -3*g = 5*n + 14 - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 38*m - 57. Let i(a) = -9*a + 14. Calculate -9*i(p) - 2*n(p).\nAnswer: 5*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1099, 2507, 3915, 5323, 6731, 8139?\nAnswer: 9547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.32 + -11.68. Let w = 29 + s. Let a = 17.4 - w. Round a to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) -0.2 (c) 22521\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -450310?\nAnswer: -450315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -h - 3*c, 0 = -5*h - 2*c + 58. Let w be (h\/15)\/(22\/5). Let n = 1.9 - -0.1. Sort -3, w, n in decreasing order.\nAnswer: n, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5117 - 5112. Sort d, 0, 9, -4, -3 in decreasing order.\nAnswer: 9, d, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*w**3 - 2*w**2 - 158*w**3 + 2*w**2 + 103*w**3.\nAnswer: 516*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrt when three letters picked without replacement from hytrrtyhr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -218*u - 1874. Calculate i(-9).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086654 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16851 - 16849. Which is the fourth smallest value? (a) -0.051 (b) -0.5 (c) o (d) 0.2 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159592488 to the power of 1\/2, to the nearest integer?\nAnswer: 12633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/373 - 9656\/7833. Let l = 4\/7 + z. Are l and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p**2\/13 + 266*p\/13 - 66\/13 = 0. Calculate p.\nAnswer: 1\/4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1 + (-1)\/(-4)). Suppose -2*m - m = 3*m. Suppose 20*z - 21*z + 1 = m. Solve -f*q - v - 10 = 2*v, -z = -5*q + 3*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 99. What is the third smallest value in 0.3, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -445, -4, 5.\nAnswer: -445, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2151 + -1264. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**3\/2 - 3*x. Let v(d) = -3*d + 0*d + 4*d + 6*d. Determine v(r(n)).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - (-3 + 0\/(-1)). Let q be (-12)\/40*s\/(-4). Which is the smallest value? (a) 4 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(637) + 1 - sqrt(13)).\nAnswer: 3 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-14))\/((24\/28)\/3). Suppose 5*x - k*j = 36, 0 = -2*x + 3*x + 4*j + 6. Differentiate -4 + 38*z**3 - x*z**3 - 3 + 8 with respect to z.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huuu when four letters picked without replacement from {u: 6, s: 3, n: 3, h: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 2*m - 124. Suppose m*v + 599 = 4493. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5 - 57*h - 3*h**2 + 2*h**2 + 55*h. Let q be d(-3). Which is bigger: 0.08 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 69.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 596595111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0*v**3 + 5\/4*v**4 - 6*v + 3\/2*v**2 + 7 + 0*v**5 + 1\/5*v**6. Differentiate c(r) with respect to r.\nAnswer: 24*r**3 + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*u - 364 = -613*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60289 at least 60383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-2*p**2 - 2 + 2) - p**2 + 3*p**2 - p**2 + p**2 - 6*p**2 + 3*p**2 - 4*p**2 + p**2 + 0*p**2 - 10*p + p**2 - 3*p + 0*p**2.\nAnswer: -7*p**2 - 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/35)\/(4\/230))\/((-243)\/1701)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2550 (b) 3\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-190))\/(-13*(-24)\/520)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19400\/3 equal to 6468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97 - 97 - 154*c to the form a*c + b and give a.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/331993 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*q + 5*q = 45, 4*q - 46 = -n. Let g = -41 + n. Solve 2*o = -r - 4*r - g, r + 5 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 13*g**4 + 145*g**3 + 417*g**2 + 391*g + 142. Let p(y) = -15*y**4 - 146*y**3 - 418*y**2 - 388*y - 143. Let u(n) = 7*i(n) + 6*p(n). Factor u(s).\nAnswer: (s + 1)**3*(s + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.071 + -0.029. Let x = 2.1 - 2. What is the closest to z in -2, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-17)*o*o))\/o**(-4))\/(o**4\/o)**(-2\/33) assuming o is positive.\nAnswer: o**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113*d - 266*d + 22*d)*(2*d + 2*d - 3*d + (-d + 0*d - d)*(0 - 1 + 0)).\nAnswer: -1071*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 917 = -1085. Is b < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2917 - -2920. Let u = 40 + -36. What is the lowest common multiple of u and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463993 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.692572mm?\nAnswer: 0.0692572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/((-15640)\/(-575)))\/((-8)\/20*(-1)\/4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4320 divided by 5?\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from vvvqsqqsqqsvqsssq.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 100*(-15)\/180 - -9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1319 (c) -10 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -11. Suppose 0 = -2*o + k*o - 42. What is the lowest common multiple of 27\/(-9) - (-5 + -24) and o?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 996 + -994. Solve n = 2, p*y - 20 = 6*y - 2*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -0.25783.\nAnswer: 0.74217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2. Let d = -24 - -21. Let p = 1 + d. Let y(w) = -w - 1. Calculate p*k(s) + 2*y(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -3\/5, -5, -0.3, -30 in decreasing order.\nAnswer: -0.3, -3\/5, -5, -30, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 335, -3, 28776?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 0.07?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 - 13 + 59 - 25 - 70*t to the form q*t + v and give q.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 15*i - 11. What is g(-10)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oejjcorjocjjjjfjjjr. What is prob of sequence rer?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 1228661\nAnswer: -54\/1228661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d**2 - 4658*d\/5 + 12956\/5 = 0.\nAnswer: -158, 41\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 20*y - 9. Suppose 4*w + 0*l - 4*l = -16, 0 = -2*w - 5*l - 22. Let t be 4\/w*297\/18. What is the remainder when u(t) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1379\/14 + (-11)\/(-22) and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -4\/5, -0.4, 0.02, 5, -1686\/11, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 83 + 1267. Suppose q = m + 8*m. Let a = 7 - 5. Solve -7*s - m = -a*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*o - 30 = -307*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036160315 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 - 12*b + 17. Let v(n) = -7*n**2 + 10*n - 15. Let j(x) = 3*s(x) + 4*v(x). Let u(t) = 8*t**2 - 5*t + 10. Calculate -6*j(g) - 5*u(g).\nAnswer: 2*g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -2\/13, 31?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/367, 1\/4, 4.2, -2, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0985 in 1.7, -0.02, -2\/33, 3, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5475470 and 12740.\nAnswer: 76656580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 216*p**3 - 654 wrt p?\nAnswer: 648*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 3*a - 3. Let k(w) = -14*w**2 + 22*w + 22. Let t(i) = -6*k(i) - 44*p(i). Let q(c) = 13*c - 7*c - 2*c. Calculate t(q(y)).\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 313, 697, 1235?\nAnswer: 1927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1164*v - 1234. List the prime factors of h(-13).\nAnswer: 2, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 377.8 - 431. Let t = a - -48. Let o = t + 0.2. What is the nearest to 0 in o, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7862.31 kilograms to nanograms.\nAnswer: 7862310000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than -169988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l + 3*l + 1 - 5. Let w(d) = -1. Let g(z) = 5*z**3 - 2*z**2 + 1. Let o be g(1). What is o*w(t) - b(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {t: 17, i: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -3)*-7*15\/(-70). Calculate the greatest common factor of 15 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:04 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 934 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -34*x - 14. Let o(b) = -9*b - 1. Let r(l) = i(l) - 4*o(l). Let a(j) = 2*j. What is a(r(v))?\nAnswer: 4*v - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 0*u**2 + 13 + 5*u - 5\/3*u**3. Factor j(k).\nAnswer: -5*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4364 - 4367. Put 1, 0, h, -22 in ascending order.\nAnswer: -22, h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 + -192.208. Let q = -0.208 - r. Sort -3, 63, q in ascending order.\nAnswer: -3, q, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1153 (base 7) in base 8?\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 15 = 3*j. Let w be -2 - 3*j\/(-9). Let q be 3\/(-2)*w\/9. Are 0 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let i(b) = 108921*b - 1. Give i(m(r)).\nAnswer: -217842*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*l**4 - 4*l**3 - 7041*l**2 - 16233542 wrt l?\nAnswer: -140*l**3 - 12*l**2 - 14082*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.499 + -2.501. Which is the smallest value? (a) 0.09 (b) v (c) -16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + p + 0*p = -355, 349*p - 701*p = -5*f - 357*p + 100 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2163*z**4 + 421*z**2?\nAnswer: 51912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982540250 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19446424*s - 28870654 with respect to s.\nAnswer: 19446424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**3 - n - 3. Let s(g) = 14*g**3 + g + 5. Suppose -5*f + 4*d = -28, 136*d + 9 = 139*d. What is f*l(w) + 5*s(w)?\nAnswer: -2*w**3 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 1, c: 8, s: 2, r: 4, q: 2}. What is prob of sequence cs?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759323098?\nAnswer: 2, 379661549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5655163013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + ((sqrt(175) + -3 - sqrt(175)) + -1 - sqrt(175)) - (-4 + sqrt(175))*2)**2.\nAnswer: -80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2277*r**2 - 1259*r?\nAnswer: 4554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 106991253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 6:37 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f - 8*f - 32*f - f in the form g*f + a and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(162) + 1 + -2.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 (base 10) in base 3?\nAnswer: 122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.1 and 0.0854.\nAnswer: 3.1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a - 40. Let c be w(-5). Which is greater: c or 3\/41?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 + 0*c**2 + 4*c**2 - 9 - 2*c**4 to k*c**4 + b + i*c**2 + l*c**3 + f*c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 182 = -101. Let l be ((-8)\/(-14))\/(-1 - o\/(-21)). Let b(i) be the third derivative of -i**5\/60 + 5*i**4\/24 - i**3\/2 - i**2. What is b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6634 + -0.5634. Let i = -5.01 + 0.01. What is the nearest to v in i, 0.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 4*n**2 - 2*n + 2. Let l = -171 - -166. What is x(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 0 - (47 + -40 - 44)) + -17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56607.41 tonnes in grams?\nAnswer: 56607410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 378, 617, 856, 1095?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from faffdfdaafhdd.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 2*i + 88 = 0, 0 = l - 63*i + 67*i + 34 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 + 3*g**4 - 3*g**4)*(4 - 2 - 3) + (-2*g**2 + 3*g**2 + 0*g**2)*(2*g**2 + 0*g**2 - 4*g**2) - 1537*g**4 - 46*g + 45*g - 4039*g**4.\nAnswer: -5579*g**4 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 85329659 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371477?\nAnswer: 43, 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 3420 = -822. Let b = f + 615. What is the remainder when b is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*l = 37, -12*l = -3*g - 8*l + 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 7. Let v(o) = -o**2 - 7*o + 9. Let f be v(-7). Let l be k(f). List the prime factors of l\/((-1)\/((-3)\/(-6))).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:33 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 79819*z\/3 + 1037140.\nAnswer: (z - 79780)*(z - 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, 113, 2.\nAnswer: -1, 1, 2, 4, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 6*c + 4. Let n(z) = 3*z**2 - 3*z + 3. What is 3*n(o) - 2*v(o)?\nAnswer: 3*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4139788, -8279540, -12419294, -16559050?\nAnswer: -20698808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usu when three letters picked without replacement from {u: 7, s: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7 - 19*n - 12*n + 46*n - 19*n. Let a(m) = -m - 2. Calculate 7*a(o) - 2*c(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1280564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 395027, 395021, 395015, 395009, 395003?\n\"Answer: -6*d + 395033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3735.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 2572 + 2582 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 7) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 14*a**2 + 26*a + 9. Let y be (-15)\/((9\/(-27))\/((-1)\/(-3))). Let p be g(y). What is the derivative of 4*v**2 - p - 4*v + 170 + 4*v wrt v?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l + 0*l - 6*l)*(-2 - 1 + 1) - l + 2*l - 2*l + 0 - l + 0 + (-2 - 3 + 4)*(-6*l + 4*l + 0*l))*(6*l + 65*l**2 - 65*l**2 + 3*l**3).\nAnswer: 18*l**4 + 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -609 (c) -1\/3 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/5 - (-12)\/30. Let d(l) = -13*l - f*l**3 + 12*l**2 - 10 + 3*l + 5*l**3 - 2*l**3. Let t be d(11). Solve 0 = 4*q - t + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*w - 216*w + 17*w**2 - 3 + 3 to k + n*w + p*w**2 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 522*w - 14102. Give b(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -511*n**2 + 4*n - 8. Let p(s) = 2*s**2 - s + 2. Determine f(m) + 4*p(m).\nAnswer: -503*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 197*f**3 - f**2*r**2 + 185*f**2 - 2104*f*r - 12*f + 2*r**2 wrt f?\nAnswer: 1182*f - 2*r**2 + 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 6*c**2 - 5 + 7*c - 2*c**3 - 8*c as r*c**2 + b*c**3 + u*c + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5 - n**2 + 4*n**2 + (n - n + 2*n**2)*(-3 - 2 + 4) + 75 - 75 + 6*n**2.\nAnswer: 7*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**5\/210 - v**4\/42 + 8*v**3\/7 - 381*v**2. Factor w(r).\nAnswer: -2*(r - 4)*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 251 = -181 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from llalxclccee?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6 = 4. Put -4, q, -5 in decreasing order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 6:56 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 310103 + 352?\nAnswer: 310455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1306 divide 28700896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3660923 and 203.\nAnswer: 106166767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-903)\/430)\/((-21)\/(-15)). What is the closest to -35 in -5, -0.07, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (1 + 3) - (4 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-6)*(-1 - 1). Suppose 3*d - 44 = d + 4*l, 15 = d + j*l. Suppose o - 2 = d. Calculate the smallest common multiple of o and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*y**2 - y**5 + 8*y**5 + 2*y**5 wrt y?\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17*b - 16*b = -155, 5*k - 5*b - 385 = 0. Calculate the remainder when k is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 24*s**3 - 4*s**2 - 2*s - 4. Let t be y(4). Let f = t + -20409\/14. What is the common denominator of 47\/10 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5104714 micrograms?\nAnswer: 0.0000000000005104714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 58 + 23 - 13*t + 22 + 41. Let b be v(11). Which is smaller: b or 5\/17?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s + 1. Suppose -3*v + 13 = 7. Let r(t) = 3*t. What is v*o(y) - 3*r(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 2*p + 1. Suppose -4 = i - 3*i. Let h(x) = -8*x**2 - 8*x - 4. Let k(n) = -n**3 - 4*n**2 + 2*n - 6. Let l be k(-5). Give i*h(s) + l*b(s).\nAnswer: 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*1*-3 + -2 + sqrt(245)*3)**2 + -5)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 1 n when three letters picked without replacement from gcgffmn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 112 = -17*z + 5*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3\/7 - 30*x**2\/7 - 132*x\/7 - 136\/7 = 0.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/24042238 and 29\/196709220?\nAnswer: 2163801420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 31720*a**2 - 13 + 38.\nAnswer: 31720*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 80 = 4*y, -829 + 742 = 11*p - 4*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 196482679.\nAnswer: 1\/196482679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 31*v**2 + 3*v. Let j(a) = -1998*a. Determine w(j(o)).\nAnswer: 123752124*o**2 - 5994*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -116, 149, 1136, 3205, 6716?\n\"Answer: 60*i**3 + i**2 - 158*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 225688386 to the power of 1\/2, to the nearest integer?\nAnswer: 15023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*c + 404, 2*w = 3*c - 0*w + 302. Let f be 1\/7 - 280\/c. Suppose 0 = 3*v + f*l - 0*l - 345, -l + 563 = 5*v. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let o(f) = f + 1. Let l(w) = -14*w - 5. Let u(g) = -l(g) - 5*o(g). What is u(p(d))?\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 17}. What is prob of sequence djd?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24129739 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 5:50 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187 - 173. What is the remainder when 264 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 4*y + 9 - 9.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 685 = 2*g - 7*g, 416 = 3*g + 4*u. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -217183 and -88.\nAnswer: 19112104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(4349 - 73*z - 4349) to d + q*z and give q.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c + 60. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 13*p**4 - 52*p**3 + 15*p**2 + 60*p - 18. Let a(c) = -38*c**4 + 157*c**3 - 45*c**2 - 180*c + 53. Let m(j) = 2*a(j) + 7*h(j). Factor m(u).\nAnswer: 5*(u - 2)**2*(u + 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrqqqlrq. What is prob of sequence lrq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 346620 - 16?\nAnswer: 346601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 19?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 3:32 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/10, -5, -14, 1\/13, 13\/7, 1, 2\/7?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + sqrt(1539) + 3*(-1 + sqrt(1539) + sqrt(1539)) + sqrt(1539)*1 + -1 - (2 + -2*sqrt(1539) + -2))*3)**2.\nAnswer: -7128*sqrt(19) + 1676115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let s(x) be the third derivative of -26*x**2 + 0*x + 31\/24*x**4 + 1\/6*x**3 + 0. Calculate s(w(i)).\nAnswer: -31*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -2494097?\nAnswer: 249409a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -347988*y**3 - 5*y**2 + 12*y + 396732302 wrt y.\nAnswer: -1043964*y**2 - 10*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f + 45. Suppose 5*g = -6*l + l + 15, -3*l + 3*g - f = 0. Let a(v) = -3*v**3 - v**2 + 1. Let j be a(l). Solve b + 6 = j*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -5 + 10\/3*c**3 - 2*c + c**2 + 3\/2*c**4. Find v, given that z(v) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssgsggs?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Suppose -2*h - 2*j = -18, -8 = 5*j - 23. Let i be g(h). Calculate the greatest common factor of 30 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/57 and -79\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -60b (base 14) in base 2?\nAnswer: -10010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 3 - -5 - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2624.213 nanograms to micrograms.\nAnswer: 2.624213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + -4 + 16 + (7 - 30)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5301.96 and 0.055866378.\nAnswer: 5302.015866378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20319722, -40639454, -60959186?\n\"Answer: -20319732*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -9)\/(2\/4). Suppose h*j = -j + 102. Let x be (3 - 4) + (j - 0). What is the highest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 108924*p + 28.\nAnswer: 108924*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.5 (b) -14 (c) -0.1 (d) 76 (e) 18 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.17, 304, -527 in descending order.\nAnswer: 304, 1, -0.17, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(144)*6)\/(sqrt(11) + sqrt(132)\/(sqrt(60)\/sqrt(5)) - sqrt(44)*-2)*-3.\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -126784, -253625, -380466, -507307, -634148?\n\"Answer: -126841*k + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from clclciliclllcssclc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(891)) + -4)**2 - ((1*(sqrt(891) + 1)**2 - sqrt(891)) + -5).\nAnswer: -225*sqrt(11) + 31193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 = -8. Suppose 3*t = 4*p + 14, 0 = 4*t - h*p - 8 - 8. Factor 32*y**t - 4 + 4*y + 18*y - 6*y**2.\nAnswer: 2*(y + 1)*(13*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-5))\/(310\/(-50) + 6). Let x(v) = 245*v + 176. What is the thousands digit of x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 64 = 2*o. List the prime factors of -1*(o - (2 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413.3105 centimeters to millimeters.\nAnswer: 4133.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 9*u**2 - 9*u - 3. What is the remainder when 92 is divided by p(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1090465 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-34)*1\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = -0*k. Let x be 10\/21 - (-3)\/(-9). Let d = -0.1 + -1.9. What is the third biggest value in d, k, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 2:37 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - 35506?\nAnswer: -35450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/3 of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1930877715?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2336537 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/60 + 11*s**4\/24 + 31*s**3\/6 + 22*s**2. Let d be b(13). Solve 0*a + a + d = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-44)\/16)\/(-11) + (-19)\/(-4). Let p(i) be the third derivative of 0*i - 3*i**2 + 0 + 0*i**3 - 1\/20*i**b + 0*i**4. Let d(z) = z. Give d(p(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8710, 17237, 25586, 33757, 41750?\n\"Answer: -89*m**2 + 8794*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(8\/3)*l*l**7)**(-1\/24))**47 assuming l is positive.\nAnswer: l**(-188\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 122 = -4*q, -q - 184 = -3*d + 34. Let s(m) = 61*m + d*m - 128*m. Let w(a) = 8*a. What is w(s(h))?\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + 34. Calculate the remainder when 177 is divided by q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 - 5*v**2 - v**2 - 7*v. Let p be b(6). Let i(y) = y**3 + 8*y**2 + 4*y - 6. Is 14 a factor of i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/(l\/(l**(1\/2)\/l*l)*l)*((l\/((((l\/(l**0*l))\/l*l)\/l)\/l))\/l)**(-20))**(-33) assuming l is positive.\nAnswer: l**(2739\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/2*2)\/(-1). Let j = -15 - n. Is ((-2)\/(-5))\/(j\/1500) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3 greater than 2422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 + 2*z - 1. Let k be f(2). Suppose -244 + 62 = -k*m. Do 26 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 6)*(-f + 0*f - f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rggg when four letters picked without replacement from {g: 3, r: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:58 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1605 = -5*i, 5*i + 2*y - 2124 = -494. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 4*z - 4. Calculate r(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.922495 litres?\nAnswer: 9922.495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50260 (base 8) to base 3.\nAnswer: -1001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1510 and 261815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0*v**3 - 27\/4*v**5 - 5\/42*v**7 + 0*v**2 + 5 + 17\/6*v**6 - 75\/4*v**4 - 10*v. What is n in i(n) = 0?\nAnswer: -1, 0, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 130.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-6) - 0)*-3. Solve 0 = -3*b + i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422906 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 + v**2 - v. Let o(q) = 8*q**3 - 4*q**2 + 2*q. Let l(c) = -11*m(c) - 4*o(c). What is l(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94.04 - -1.96. Let m = i - 86.4. Let v = -4.3 + m. What is v rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13910, -13923, -13952, -14003, -14082, -14195?\nAnswer: -14348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 133\/2. Sort b, 5, -5 in descending order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(19) + -1 + 5)*-4 + -3 + (sqrt(475) + -2 - sqrt(19)) + sqrt(19))*-2.\nAnswer: -210 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - -1871?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248247 is divided by 1306?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 28053750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221212110 (base 3) to base 6.\nAnswer: -454233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 4*z + 6. Let n(q) = -5*q**2 - q - 9. Let x(l) = -4*l**2 - 8. Let o(y) = -3*n(y) + 4*x(y). Determine -5*a(i) - 6*o(i).\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -118.983 * 0.4\nAnswer: -47.5932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*i = -5*i + 45, 4*n = 4*i + 68. Let z(b) = 2 - 13*b**2 + 9*b**3 - 6*b - 10*b**3 + 2*b. Calculate the least common multiple of n and z(-13).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let c(g) = -59880*g. Let s(x) = 3*c(x) + 360*l(x). Let b be s(-1). Round b to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52094401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22980055 and 8799?\nAnswer: 2933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 303 + -329 + 26 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18 + 3*o - 12 - 9 wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k + 61*k - 5790 = 219*k for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2443400 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 5*n + 32*n**2 - 34*n**2 + 23.\nAnswer: -2*n**2 + 5*n + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2 + 11328*l - 22640 = 0. What is l?\nAnswer: 2, 2830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 4*b - 13 - b. Let k = 14 + -8. Let r(p) = p - 7. Let o(m) = k*s(m) - 11*r(m). What is o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133*f - 20*f + 264079 + 37*f**2 - 264080 wrt f?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33989349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(-84)*(-18)\/(-42).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 - 4. Let d(k) be the first derivative of 7*k**3\/3 + 9*k + 196. Give 4*d(o) + 9*y(o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 2310 = -3*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -50. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*o**6 + 2*o**3 + 309*o**2 + 6*o + 1?\nAnswer: -11160*o**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/13 + 280*z\/13 - 6400\/13 = 0. What is z?\nAnswer: -160, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.084 + 0.084. What is the nearest to 0 in 0.3, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3050 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*z - 303*z + 3*l = -31, -z - l = 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2313\/153 - (-2)\/(-17). Sort 3, -2, m in ascending order.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + (3 - (4 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 130 + -127 - (0 - (-1 + -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(2 - 317*i - 11*i - 20*i).\nAnswer: 348*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.131 + 1.131. Which is the closest to m? (a) -4 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 1, x: 4, w: 7, p: 3, g: 1}. What is prob of picking 2 w?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 62. Solve -2*l - r = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**3\/2 + 13*n**2\/2 - 34*n - 30. Let v(q) = -50*q. Calculate s(v(l)).\nAnswer: 150*l + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 389 + 376*f - 374*f + 183.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1132 - -1?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -6 (c) 0.16 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.0122+331.33\nAnswer: 332.3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -fd9b4 (base 16) to base 3\nAnswer: -1221202221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1788 - 344 = -3*k, 5*k = 5*g + 3550. List the prime factors of k.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -42*v - 294. Let r(o) = 23*o + 147. Calculate -6*b(p) - 11*r(p).\nAnswer: -p + 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/218 and 49\/20?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 86 = -4*b + 450, 102 = b - 3*z. Calculate the greatest common factor of b and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3090056 is divided by 7305?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.04, -25\/9, 1.2 in ascending order.\nAnswer: -25\/9, -0.2, 0.04, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -4 - -29 - 21\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 16*y - 6. Let h be p(-16). Suppose -9 = -3*x - 0. What is the remainder when x is divided by (-4)\/h + 7\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2783 - -2830. What is the remainder when 746 is divided by y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*y - 1 - 2 = 0, -5*y = -3*f + 1. Let i(w) be the first derivative of -3\/8*w**f - 1\/6*w**3 - 1\/4*w + 9. What is s in i(s) = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*y - 24*y - 286 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/98 + 194\/14. What is the highest common factor of 21 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -7. Let z(j) = j + 1. Let v(g) = -14*g + 4. Let n(d) = r*v(d) + 12*z(d). What is the units digit of n(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 6. Let y be o(5). Suppose 0 = -4*p + 2*z + 14, -2 = -2*z - y. Suppose -4*t = -3*j + j + 18, -3*j + p*t + 18 = 0. Let s(q) = 2*q + 3. Give s(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 59 + 6. Solve 4*h - 3*a + n = 0, -a = -h + 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(19)*1*-6*5)*6.\nAnswer: -180*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/13 + (6525\/2340)\/((-2)\/8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 - (-1 - -10)) - ((-24 - -31) + -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96313 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -y + 34. Suppose -2*b - 1 = 3*u - b, 2*b - y = 3*u. Let i(k) = -k. Let d(w) = -18*w. Let n(t) = u*d(t) + 42*i(t). Let z(g) = -2*g. Give n(z(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/5)\/((-8)\/20). Suppose 42 = -3*j + g*f, 2*f + 27 = -4*j - 29. List the prime factors of ((-12)\/j)\/((-9)\/(-63)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38784, 38131, 37478, 36825?\nAnswer: 36172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2217754 divided by -100807\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1929907064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x**3 + 8*x**2 - 5*x - 7. Is u(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*235907\nAnswer: -1179535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:43 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -1.4. Let t = -872 + 7849\/9. Which is the closest to p? (a) -2\/17 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-484\nAnswer: 193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2\/(-3) - (-37410)\/(-2610).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 - 3 = 0. Let y(d) = 2*d**3 - 34*d**2 + 33*d - 11. Let b be y(16). Solve a - 6 = -f*g, -a - b*g = -10 + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 6. Is (6\/(-10))\/(l\/(-650)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-7))\/(4\/14). Let o(v) = v**3 - 10*v**2 + 2*v - 5. Let y be o(z). Solve -f = -6*f + y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 10. Let y be u(10). Suppose -4*b - 2*o - 10 = 4, 3*b = -4*o - 18. Is y + (-2)\/b + 13 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*w + 5*w + 32 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2929, -5892, -8855, -11818, -14781?\nAnswer: -17744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*u + 400, 5*u - 2*z - 499 = -3*z. Let c = -95 + u. What is the second derivative of -30*m**c + 46*m**3 - 2*m + 0*m - 46*m**3 wrt m?\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 7. Let o(l) = -15 - 16 + 32. Let t = -1 - -4. Let p(r) = t*s(r) - 21*o(r). Let q(f) = -f. Calculate q(p(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.66320163 to three dps.\nAnswer: 68.663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -784 or -1\/7?\nAnswer: -784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (1*sqrt(152) - sqrt(152))*1)\/(sqrt(56)\/(sqrt(7)*1)) - ((-3 + sqrt(304))**2 - 3*sqrt(1900))*5.\nAnswer: -1565 + 271*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1296282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6)\/b)\/b*b\/(b\/(b*b**0))*b*(b\/(b*b**(1\/10)*b))\/b*b*b**(-1\/2) assuming b is positive.\nAnswer: b**(-53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 871640*x**3 - 693235*x**2?\nAnswer: 5229840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least 5143\/647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 10. Let m be n(7). Let u be (m - 0 - -9) + 3. Does 12 divide 365\/u + 1\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5875477 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.33 + -7.36. Let v = -4 - -3.97. Let t = v - o. Which is the third smallest value? (a) 0 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -38. Suppose 0 = -50*d + 49*d + 250. Let z = d + -247. Solve z*g + s = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 16 = 10*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d - 6946 + 6708 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 - ((10 - 49) + 28) - 72.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(-1 - 2 + 5) + 1 - 3 + 1 - 2 - 3 + 1 - 19 + 8 + 34)*(3*a**4 - 5*a**4 + 0*a**4).\nAnswer: -44*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w**2 + 7*w + 6. Determine l(3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-3))\/(6\/(-18)). Suppose 2*u = -5*y + 35, -y + 3*u - 15 + p = 0. Suppose -y*l + 48 + 27 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((2\/(-4) + 7)*3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -310*f**3 - 3*f**2 + 457*f + 8?\nAnswer: -1860*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 6, o: 10}. What is prob of picking 1 m and 2 o?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 316264 < 316264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 4*j**2 + j**2)*(2*j - 6*j**3 + 10*j**2 - 12*j**2 + j**2) + (j - j - 2*j**3)*(2*j**2 + 4*j**2 - 3*j**2).\nAnswer: -12*j**5 - j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ozqohoorxozoqxqroz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 449 = 5*z - 35, -j - 5*z + 138 = 0. Let s = -27 + j. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227356.\nAnswer: 2, 113, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -11098200 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r. Let p be (-43)\/(-3 + 2 - r). What is p rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-2\/17)*i*i**6*i)**32 assuming i is positive.\nAnswer: i**(5376\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 55 = 3*w. Let q(h) = 77*h**3 + h - 1. Does 7 divide q(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 14 - (212 - 211)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 z when four letters picked without replacement from {t: 2, e: 6, z: 1, a: 4}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.6 (c) -363 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/((-1160)\/24))\/((-2)\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*m*w - b**2 + 9*b*i*m*w + 2*b*i*w - 24*b*m*w + b*m + 51*b*w + 2*b wrt m?\nAnswer: -b**2*w + 9*b*i*w - 24*b*w + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13424796 and 1336.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-2*4)\/(sqrt(160)\/sqrt(8)))\/(-2*(sqrt(242) + sqrt(242)*2*-4)) + 5.\nAnswer: -2*sqrt(19)\/77 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:53 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -5 - 22 - -15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 26030?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - x + (3 + 0 - 5)*(2*x + 3*x - 4*x) + 6*x - 12*x - 4*x - 5 + 5 - x)*((2*x - x + x)*(2 - 2 - 2) + x + 3 - 3) - 2*x**2 - x**2 + 5*x**2.\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51422430 and 79719.\nAnswer: -51342711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184558 <= 184545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t\/(t*(t\/t**(-1\/2))\/t))*t*t*(t**(-18\/5)*t)\/t assuming t is positive.\nAnswer: t**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442915 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqqxqx. Give prob of picking 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.9071 - 0.1009. Let x = -0.008 - r. What is the smallest value in 1, -4, -1, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104)*2)\/(sqrt(800) + 1*sqrt(800) + sqrt(800)).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58706, -117410, -176114?\nAnswer: -234818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c. Let q(u) = 4*u + 5. Let a(s) = -4*s - 6. Let n(y) = -6*a(y) - 7*q(y). Suppose -b - 10 = -5*g - 2, 4*b = -g + 10. Determine b*n(o) + 3*t(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n = -34*n + 3. Which is the closest to -7? (a) n (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 6575 (b) -5.6 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 7. Let k be j(-5). Suppose -k*u - 102 = -3*d, -d - 2*u = 6 - 34. Suppose -4*g + 2*g = -32. What is the greatest common factor of g and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(78\/(-4))\/(2775\/(-370)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1.1, -3, 0.2, 1\/18257, -8?\nAnswer: 1\/18257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 586?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-1881) - 426\/152?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 22 = 2. Let u be (5 + -2)*x\/(-15). Factor -10\/3*a - 4\/3 + 2*a**u.\nAnswer: 2*(a - 2)*(3*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 + 2*q - 2. Let z(a) = 12*a**3 + 9*a - 9. Calculate -18*v(b) + 4*z(b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3814, 2, 1.3, 41 in increasing order.\nAnswer: -3814, 1.3, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 10:13 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 11:33 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v + 2 + 10*v - 20*v - 2*v**2 in the form l*v**2 + q + h*v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 32\/23 (b) -6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-66)*-3)\/((-6)\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuut. Give prob of sequence uutu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**8\/168 + 7*f**6\/120 + 169*f**4\/24 - 2*f**2 - 81. What is the second derivative of b(y) wrt y?\nAnswer: 40*y**3 + 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 9. Suppose 2*m = f - 5*f - 6, -5*m = -2*f - 33. Let z be h(f). Is (-4914)\/z + (-36)\/20 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*p**2 + g**3*p - 2*g**2*p**2 - 7001386*g*p**2 - 68715*g*p + 155*p wrt p?\nAnswer: -4*g**3 - 4*g**2 - 14002772*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94404 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(2\/(-20)). Let u be 18*(5\/(-3))\/x. Let f be (8\/u)\/(10\/15). Solve 4 = -f*n + 2*t, 0 = n + n + 2*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10791993 = w. Let o = w + -5602669. Round o to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 615*w**2 + 23517*w - 9738. Determine c(-574).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*h = -1300, -n + 21*h - 18*h - 264 = 0. Let a = -256 - n. Calculate the least common multiple of a and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(288) + -2 + 0 - 3*(sqrt(288) + -1)*-6)**2.\nAnswer: -8664*sqrt(2) + 104329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4462*o + 899. Is z(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 1 + 3. Solve -5*c + i*c + 7 = -a, 0 = -3*c - 4*a + 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -12, -3, 86\/3, -1, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + (-3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*r + 4 = 0, -l - r + 16 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.066038974*-3\nAnswer: 0.198116922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from {c: 6, i: 1, p: 1, f: 2, k: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*u - 104*u - 109*u + 5*u**2 + 312*u + 2*u**2 as c + o*u**2 + a*u and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-12)\/30 + (-254)\/(-10) and 7.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2 + 2, 8 = 3*b + i. Suppose 317 + 310 = b*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**2\/2 - 8. Let u(y) = 6*y**2. Give a(u(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11064 and 41646.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 694 and 16?\nAnswer: 5552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Let j = 0 + u. Is j smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7327.\nAnswer: 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 668 by -2.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289743824 by 36217978.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 + 4*f + 2. Let t be p(2). What is the common denominator of t\/5 - 621\/165 and 4\/18*43\/(-2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1142002134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*m**3\/5 + 17822*m**2\/5 + 2620138*m\/5 + 14856594.\nAnswer: -2*(m - 285)*(7*m + 361)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 13*r**2 - 13*r + 6. Let k be l(-12). Calculate the greatest common divisor of k and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 18*x**2 + 19*x - 16. Let a(j) = -16*j**2 - 18*j + 15. Let u(n) = -5*a(n) - 4*w(n). Is u(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4593*b**2*c**4 - b**2 + 1140*b + 4 wrt c.\nAnswer: -18372*b**2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 696658, 0.5, 26 in descending order.\nAnswer: 696658, 26, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9399 + -0.1?\nAnswer: 9398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(21)*5)\/(sqrt(12)*3).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1761, 1390, 1027, 666, 301, -74, -465?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*r - 107 - 47, -r - 281 = -4*v. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1731 * -170\nAnswer: 29.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 39*v + 376 + 287 = 0, 3*f + 5*v = -0*v - 85 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 + -2 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12495 in -0.14, -0.4, 0.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -11 + (84 - 11 - (2 - (-7 - -19)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 10 = -l + 2, m = 2*l - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 7133*x - 50055. What is f(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - t**2 + t + 1. Let g(h) = -2*h**3 - 7*h**2 - 2*h - 4. Determine -g(q) - 3*r(q).\nAnswer: -q**3 + 10*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89, -186, -283, -380, -477?\n\"Answer: -97*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r = -39*r + 1161. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 596?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -166739 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 66. What is the highest common factor of 242 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*j + 216*j - 26*j)*(0 + 1 + 6).\nAnswer: 1547*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(1 - (7 + 2)). Suppose 0 = 3*y - 3 - 3. Let m = y + 54. Calculate the highest common factor of m and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136 (base 14) in base 16?\nAnswer: 2bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -110811, -442909, -996405, -1771299, -2767591, -3985281?\n\"Answer: -110699*p**2 - p - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2\/11, 2, -4 in ascending order.\nAnswer: -4, 2\/11, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (3 - (-11 + 18 + 3 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 739 and 0.3.\nAnswer: 221.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -902604 divided by 6?\nAnswer: -150434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 104*p**2 + 1\/150*p**5 - 19\/60*p**4 + 0 + 6\/5*p**3 + 2*p. Find u, given that m(u) = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 times -1189?\nAnswer: -810898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 553, 1111, 1661, 2197, 2713?\nAnswer: 3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 45\/12)*(-4 - 0). Suppose 3*k + 2*j - 28 = 0, -q*k - 10*j + 33 = -7*j. Solve -6*r + 3*r = k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = 0, 5*q + l - 110 = 30. Suppose 5*r - 9 = 5*y + 6, y + 5 = -r. Calculate the remainder when q is divided by r - -4 - 3\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 5*n. Solve n = 3*m - j - 2, m = 5*m + 2*j + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 4297 = 1297. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(5\/4)\/(z**(-2\/11))**40 assuming z is positive.\nAnswer: z**(1065\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/4 - 4*o**3\/3 + 6*o**2 + 42*o. Is d(11) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 2*z**4 - 2*z + (0 + 5 - 4)*(1 - z**4 - 1) - 2*z**4 - 3*z + 3*z + z**4 + 0*z**4 + z**4 + (z**3 + 3*z**3 - 2*z**3)*(-6 + 2*z + 6) - 8*z**4 + 24 - 24.\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10628897, -21257844, -31886791, -42515738?\n\"Answer: -10628947*d + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 515959*j - 2579780. Give q(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**8\/168 + n**7\/210 + 109*n**6\/10 + 6329*n**4\/24 - n**3\/3 - 2*n**2 + 14*n - 27. Find the second derivative of b(i) wrt i.\nAnswer: 40*i**3 + 12*i**2 + 7848*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1833 + -1832. What is the third smallest value in 5, z, -79, 2\/13, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-730)\/(-60) - (-1)\/(-6). Solve 48 = -0*h + m*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174088 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -670.6 and -1.\nAnswer: 670.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -220*i - 7116. What is the least common multiple of 216 and m(-33)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18171777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -873678 (base 13) to base 2\nAnswer: -1100000111110111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from llnnlnng.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203?\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76246 is divided by 45?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 2*q - 1. Let b(w) = 23*w**2 - 19*w + 27. Let z(g) = b(g) - y(g). List the prime factors of z(6).\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4, -4\/3, 12, -0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -0.13 (b) -1 (c) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042214 plus 0.5?\nAnswer: 3042214.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 362468 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-564))\/((-56)\/(-168)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = -a - 126. Let x = 500 + a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*i + 5, 33*i + 23 = 38*i - p. Suppose -5*h = 4*y - i, h - 6*y + 2*y = 20. Solve s = -5, -h*s = 5*g + 12 + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-741)\/91)\/((-6)\/28)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 4:48 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -8. Suppose y + l*y - 6 = 0. Solve 3 = -y*n - 5, -2*n - 11 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - -6) + 60 + -63.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.3363749 rounded to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 35, 91, 191, 347, 571, 875?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**4\/24 - 2*n**2. Let i(u) = 4*u + 3. Let v(h) = -11*h - 8. Let s(q) = 8*i(q) + 3*v(q). Calculate s(b(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 5*g**2 + g - 6. Let v be m(-5). Let y = 939 - 885. Let d = y + v. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p - p + 2*p + p + 1. Suppose g + 0*g + 6 = 0. What is the remainder when o(g) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4 = 2*j, -541*c - 3*j = -539*c + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8421730 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 235 + 5*t + 10*t + 2*t + 8*t - 143*t**3 - 19*t. Let u(o) = 143*o**3 - 7*o - 234. Let r(m) = 6*u(m) + 7*v(m). Differentiate r(n) wrt n.\nAnswer: -429*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2499.93 - -2500. Which is the second smallest value? (a) k (b) 2 (c) 2\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 0 - 6*p**4 - 9*p**4 + 7 - 5 as x + z*p**4 + c*p + f*p**3 + r*p**2 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-3 - 14) - -1. Suppose 4*v + o = 74. Let f(j) = j**3 - 14*j**2 + j - 14. Let a be f(v). Solve t + 2*g + 7 = a, 10 = 3*t - 3*g - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 184244 - 33103. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, t: 3, v: 3}. Give prob of sequence trt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 127*t**4\/12 + 97*t**3\/3 - 32*t**2 + 2*t. What is the first derivative of v(d) wrt d?\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 1, -58, 2, -2, -5, -1019 in descending order.\nAnswer: 2, 1, -1.2, -2, -5, -58, -1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-64))\/((30\/8)\/5)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -31. Let h be ((-17)\/(-2))\/((-5)\/(5 - 55)). Let k = d + h. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -160 - 80. Find the common denominator of 113\/6 and 4\/5 + 1647\/f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and 66128358693.\nAnswer: 66128358693.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -0*i - 8. List the prime factors of 898*i\/2 + (7 - 10).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {t: 1, v: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 23718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56171, 56170, 56169, 56168?\n\"Answer: -u + 56172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -38. Let f = c + 66. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 5:49 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -7, -0.2, 3\/4, -4, 2\/1259?\nAnswer: 2\/1259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160 + -24?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29\/3*g + 1\/3*g**2 + 0.\nAnswer: g*(g + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 249 + -27c8?\nAnswer: -257d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696095 is divided by 4394.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 548994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 4*k + 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5972 = -2*d. Let o = -13408\/9 + d. What is the common denominator of o and (-7 - 3)*2\/25?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/3*441\/98)\/(600\/400).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 55*h**2 - 54*h - 70. Does 65 divide a(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.433 - -0.69. Let w = -0.25543 + t. Round w to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1858 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 5*v**2 - 4*v + 1. Let b be s(4). Is b bigger than -2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 17\/4, -0.11 in decreasing order.\nAnswer: 17\/4, -0.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*v - 88032, -20*v + 17*v - 3*z = -66030. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j**3 + 1. Let r(z) = 64*z**3 + z**2 + z + 6. Let l(u) = 2*r(u) - 11*y(u). Give l(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose 0 = -2*z - 2*h - b*h + 23, -z = 3*h - 14. Let o = z + -1. Sort 0, 2, o in descending order.\nAnswer: 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 65.65886 centuries?\nAnswer: 6.565886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 782603589 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 379270.\nAnswer: -14\/37927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -r - 4*g + 145, -5*r - 2*g = -701. Suppose 82 = h + h - 2*j, -4*h = j - r. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103332 (base 4) to base 6.\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 - 4) - (2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 36*z**2 - 31*z + 36. What is u(-17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*n = n - 16, -2*n = -w - 4. Suppose -3*o - 7 + 21 = w*m, 5*o - 5*m - 40 = 0. Let j(r) = r - 5. What is the lowest common multiple of o and j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58518 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 669379 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*o - 12. Calculate the remainder when 19 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 2*b + (0 - 2 + 3)*(-2*b + 2*b + 2*b) + 2*b - 3*b + 2*b + (1 - 2 + 2)*(6 - 6 + 7*b) + 3*b - b - 4*b to the form k + j*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:51 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12097 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/(-6) + 1\/(-3). Let d = b + -4. Let i = 5 - 5. Solve i = f - d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/7 and -67\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 14*m + 5*m + 7*m. Let t(x) = -2*x. Calculate t(g(n)).\nAnswer: -52*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - 9\/(-10). Let t(j) = -19*j + 566. Let c be t(29). Sort c, -0.3, h in ascending order.\nAnswer: -0.3, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 5:28 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 2*b**2 + 2*b. Let k be z(-3). Suppose d + 36 = 2*x, 82 = 2*x + 2*x + k*d. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 - 1 - 5*i**3 - 14*i**3 + 0 + i**2. Let j be d(-1). Suppose 0*w + g = w + j, -2*g = -w - 26. Round w to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63)\/(-12) + (-6)\/(-8). Suppose -10 = -5*a, -p + 4*a = -w*p + 18. Solve 0*r = -3*n - r + 6, -n = 5*r - p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Let j(c) = 1. Let x(w) = -208*w + 1288. Let o(k) = 16*k - 99. Let q(a) = 40*o(a) + 3*x(a). Let g(s) = 96*j(s) + q(s). Determine t(g(v)).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1750556548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -28*m - 7. Let w be f(-2). Suppose -z = -8*z - w. Suppose c = 2*c + 8. Which is greater: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + p**2 + 2*p + 3. Is q(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 - (6 + -3)) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 229*h**2 + 221*h**2 + 147 - 450*h**2 - 159*h**3 wrt h?\nAnswer: -477*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2139 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*n - 2 = 0, d - 18 = -3*d - 5*n. Suppose -3*x - 171 = -180. Let m(t) = -t**2 + t - 3. Let a(v) = v**2 - v + 4. What is d*a(r) + x*m(r)?\nAnswer: -r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1976 greater than or equal to -1973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*l + 0 + 1 - 1 + 57*l to the form y + f*l and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.3 (b) -499 (c) 0.73 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -858 + 5994\/7. Is i greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(27\/(-270)) + -3 - 37345\/8245?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47491638 to the nearest integer?\nAnswer: 6891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/85, 3, 0, 217, 0.1 in descending order.\nAnswer: 217, 3, 0.1, 0, -2\/85, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 11\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.06 (c) 5 (d) 8\/13 (e) 3 (f) -3\/26\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 2 - -3) + 15. Suppose -2*j - 3*j + 79 = 3*n, 0 = j + n - 15. Suppose x*z + 6 = j*z. Solve 3*l - 2*l + z = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 339399200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 98. Let t = s - -94.4. Which is the smallest value? (a) 0.5 (b) -4 (c) -11 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3594 and 0.4049088907?\nAnswer: 3594.4049088907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3697.1 + 240. Round o to the nearest 10.\nAnswer: -3460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14025632?\nAnswer: 2, 438301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2031372, 2031373, 2031374, 2031375, 2031376, 2031377?\n\"Answer: x + 2031371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 319 + -318.874. Let i = k + -0.326. What is the third smallest value in 5, 36, i?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 2*b**2 + 9*b - 12. Give l(5).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 10) to base 12.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -135 - 1327?\nAnswer: -1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -1514.5\nAnswer: -757.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 447635477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484.51 rounded to the nearest ten?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-3 - -12)) + 8 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -12\/29, -1, 1\/6, -2\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73025 - -69181.3. Round s to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.8. Let q = 2079 + -14555\/7. What is the closest to -2\/9 in q, -2\/5, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -466051 less than -466051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 q when four letters picked without replacement from {q: 5, e: 7}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5804472 + 0.05?\nAnswer: 5804472.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 - 9178476*k + 7020368473548 = 0.\nAnswer: 1529746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1215 (base 8) to base 9\nAnswer: -805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3558*w - 18. Let t(x) = -3*x. Calculate u(t(o)).\nAnswer: 10674*o - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33528902722 from 25.2.\nAnswer: 33528902747.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30233 rounded to the nearest one hundred?\nAnswer: 30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 11. Let o be h(4). Put 3, -5, 5, o in decreasing order.\nAnswer: 5, 3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*24\/(-352))\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4003*k**3 - 268723*k + 1.\nAnswer: 24018*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/6*10748\/(-8). Let o = w - -3127. Calculate the common denominator of -89\/2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100210100222 (base 3) to base 8.\nAnswer: -570325","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + -3*(sqrt(19) + sqrt(304)*-4) + sqrt(38)\/(-4*sqrt(200) + sqrt(200)).\nAnswer: 8 + 1349*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 633661 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108) + sqrt(108) - sqrt(108))**2 + 5 + sqrt(108) - (0 + 5*sqrt(108)).\nAnswer: -24*sqrt(3) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -4 (c) -16.99 (d) 4\/9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t + 24*t = 43*t + 1408. Calculate the least common multiple of t and 781.\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8356.\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1009424 or -17160184\/17?\nAnswer: -17160184\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3604502*s**4 + 12768200*s**2 wrt s?\nAnswer: -86508048*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 3. Suppose -28 = y - 5*y. Let p be 1*17 + k + y. Solve 4 = -2*r - 3*s - 15, 0 = -4*s - p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*(-10)\/15\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 - 8493*i\/4 + 2124.\nAnswer: -3*(i - 1)*(i + 2832)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10\/(8*(-7)\/(-9744))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t - 14 - 30*t - 14*t - 57. List the prime factors of k(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2837 is divided by 87.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 0 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 1271, 2627, 4449, 6725, 9443?\nAnswer: 12591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 4*p**2 + 376*p + 1592. What is y(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 1. Let p be u(-7). Calculate the common denominator of 3 + p*(-6)\/(-5) and 38\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296841914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266941?\nAnswer: 31, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -2) + 10 - (-19 - (-2 - (-2 + 127))).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + m**4 + (-m**4 + 0*m**3 + 0*m**3)*(3 + 0 - 1) - m + m - m**4 + 4*m**4 + 5*m**4 - 9*m - 5*m**4.\nAnswer: 2*m**4 - 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 987664 - 650434. Round y to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(6 - 3 - -2). Let b(h) = h + d - 8 + 14 + 22. What are the prime factors of b(-20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/2 - m**3\/3 + m**2\/2 + 2*m - 79. Give z(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225184*q**3 + 99740*q**2.\nAnswer: -1351104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 83790\/1311 + (-2 - -4) + -3 + (-275)\/(-253)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84597, 677168, 2285623, 5417904, 10581953, 18285712, 29037123, 43344128?\n\"Answer: 84657*s**3 - 28*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012012 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2922859023.\nAnswer: 3, 7, 139183763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (10 + (-19 - (-32 - -19)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02894 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1159.411 centuries?\nAnswer: 115941.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(7\/(105\/9)). Let v be (0 + 0)*(a - 6). Solve v = -d + 2 - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x**3 - 4*x**2 + 4*x - 4. Let w(l) = -45*l**3 - 21*l**2 + 21*l - 21. Let s = -4664 - -4668. Give s*w(b) - 21*t(b).\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 + 8 = 0. Let m(d) = -4*d - 14. Let a be m(p). Solve -z + a*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**8\/4480 + j**7\/1680 + 3*j**4\/4 + 27*j. Let d(w) be the third derivative of v(w). Factor d(f).\nAnswer: -3*f**2*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 444 + -444. Suppose g = b + 6 + 13. Put b, -2, 2\/7 in descending order.\nAnswer: 2\/7, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 605607\/4370 + 15\/874. Let k = 139 - o. Let s = 1073\/110 + -103\/10. What is the third smallest value in k, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 5*h + 19. Let a be n(-3). Suppose -a*o - 4 = -17*o + q, -16 = -3*o + 4*q. Solve -4*d + 8*d - 20 = o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -165. List the prime factors of y.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 777 (base 13) to base 9\nAnswer: 1673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 at least -6366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*d - 30, -6*d + d + 5 = 3*q. Suppose 5*x - 2*a = -3, -q*a + a + 21 = 5*x. Solve b - 2*u + x = 0, 2*u = -2*b - 0*u + 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i + i)*(-17 + 52 - 2).\nAnswer: -99*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-55)\/(-15)) + -6 + 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)\/(i*i*i*i\/(i*i**(-18))*i))**(-2\/45) assuming i is positive.\nAnswer: i**(68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 16*c + 48. Let r be q(-3). Suppose 4*i + o - 20 = r, 2*o - 4 = o. Calculate the highest common divisor of 172 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/270 - p**4\/108 - 2*p**3\/27 + 2*p**2. Factor l(f).\nAnswer: 2*(f - 2)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwdnkdkdd. What is prob of sequence dd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*5 + sqrt(136))\/sqrt(8) + (sqrt(85)*-3)\/sqrt(5).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6073a6 (base 12) to base 6.\nAnswer: 52134330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -429, -416, -389, -342, -269, -164?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 157.5812 milligrams?\nAnswer: 0.0001575812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -561837.61 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 13*l**3\/6 + 20*l**2\/3 - 119*l\/6 + 11 = 0.\nAnswer: -66\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 4*o**2 - 2*o - 2. Let m be (10\/15*2)\/((-1)\/3). Determine l(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (285\/190)\/((9\/(-6))\/((-3)\/(-2)*42))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 3 = -4*b + 2*x, -b + 3*x + 4 = 0. Let g(i) be the second derivative of 0*i**3 + 0*i**2 + 1\/6*i**b + 0 - 2*i. Let h(p) = 2*p**2. Calculate h(g(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 55?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**5*q - 35*i**4*q**2 - i*q**2 + 9*i*q wrt i?\nAnswer: -100*i**3*q - 420*i**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - a**2 - 2*a + 1. Determine t(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-9)*3\/(-36)*3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -4. Suppose i - n = 4. What is the greatest common factor of 48 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -583365 take away -45?\nAnswer: -583320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*o + 209*o - w = 12, 3*o + 12 = -3*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 1, z: 4, t: 1, r: 6}. What is prob of sequence uzrz?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 20\/(-12))*-12. Let k = j + -40. Suppose -2*b - q + k = 3*q, 3*b = 5*q + 6. Solve -3*z + 5 = b*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x = -44. Let v = -15 + 19. Suppose -2*y = -v*y + x. Calculate the greatest common factor of 66 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41810 less than 41809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 25*h - 18 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 13*m**2 - 10*m + 3. What are the prime factors of z(-13)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -444, -663?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:14 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 + 2*a. Let c be y(-1). Suppose -285 = -c*x + 222. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 136*j**2 - 260*j - 128.\nAnswer: -4*(j + 1)**2*(j + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2440 and 2652.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 99*u**3 - 81*u + 81. Let d(f) = f**3 - f + 1. Let o = -7169 + 7007. Calculate o*d(g) + 2*b(g).\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s - 16. Suppose -f + 3*u + 4 - 9 = 0, 0 = 5*f - 4*u + 14. Put s, 0, f in decreasing order.\nAnswer: s, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2524 to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55636, 56119, 56602, 57085, 57568, 58051?\nAnswer: 58534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17 + 21 + 0*q - 5*q - 42. Suppose 3*f - 4 = 2*f + 5*t, -6 = 2*f - 3*t. Suppose 5 + 0 = b. Let g(r) = -4*r - 3. What is b*k(w) + f*g(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262507 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -16*t - 87. Suppose i + 48 = 42. Let l be j(i). Let f = -0.8 - 0.2. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Suppose 2*b + 2 + 4 = 0. Let i be (-8)\/b - (-3)\/9. Put 4, k, i in descending order.\nAnswer: 4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 28. Sort -4, 2, 2\/15, l in decreasing order.\nAnswer: 2, 2\/15, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59060\/51 - 1158. Let j = -76\/663 - y. Let t = 0 - 0.3. Which is the second biggest value? (a) t (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 - 12*i)*(-149*i - 435*i - 32*i) to h*i**2 + r*i + j and give h.\nAnswer: 7392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11122010011 (base 3) to base 15.\nAnswer: 1c05a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:00 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-460)\/(-23) + (2553\/39 - 66\/143)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.42 and -6.19.\nAnswer: 2.5998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = u - 3*u. Let s = 164 - 108. Suppose -s = -u*i + 109. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.7579 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - -7 - 0) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -37, 0.1, -4, -3\/7, -0.9, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290*0.8.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 4715 and 5269 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*m - 24*m + 3 - 3*m**2 + m**2 to f*m + v*m**2 + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/27 and -55\/189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99622220 or 0.2?\nAnswer: -99622220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 19*a**2\/2 + 4*a - 18. Let q(w) = -9*w - 2. Calculate -9*q(r) - 4*s(r).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -399*q + 0 - 3*q**2 - 3 + 366*q to x + s*q**2 + b*q and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/7*6\/(-10). Suppose 2*b = s + x*b - 48, -5*b - 70 = -2*s. What is the remainder when s is divided by (-24)\/9*(-42)\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.04 and 1.7.\nAnswer: 3.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25847731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-6)*((-14)\/(-8) - (-7)\/(-28))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 569663 divided by 308\nAnswer: 569663\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Determine s so that -194*s**2 + 179*s**2 + 31*s - 5*s**f + 14*s - 25 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 + 3)*(-901)\/102. Suppose -a = 2*i - 97. Solve -3*z - i = -7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 137100, 548473, 1234122, 2194047, 3428248, 4936725, 6719478?\n\"Answer: 137138*z**2 - 41*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/11 and 30\/161027?\nAnswer: 1771297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 + 2*u - 3*u**4 + 82 - 2*u**3 - 166 + u**4 to the form h*u**4 + x*u + p + a*u**2 + g*u**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(15*4\/10))\/((-6)\/9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -771*f**5\/20 + 5*f**4\/6 - 23*f**3\/2 - 51*f**2 + 10. What is the second derivative of b(w) wrt w?\nAnswer: -4626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011000200 + -20101010?\nAnswer: 220122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**4 + 0 - 1\/2*k**5 + 0*k + 1\/2*k**3 + 0*k**2.\nAnswer: -k**3*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33416 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 101869, 101890, 101911, 101932?\n\"Answer: 21*p + 101848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2918, 2915, 2912?\nAnswer: 2909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -55*b + 763. Calculate s(21).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(72) + 3 + 0)**2 + (sqrt(1728)*2)\/sqrt(6).\nAnswer: 60*sqrt(2) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*x + 42*x - 15. Let c be (-1)\/(-5) - (-74)\/x. Solve -4*g + c = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94216, -94210, -94180, -94120, -94024, -93886?\nAnswer: -93700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303187\/7176 - 1\/7176. Let q = h - 42. Which is the second biggest value? (a) 0.6 (b) -2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.264 + 1.28. Let u = d + 6.584. Let k = 3.9 + u. Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 - 1931608*v\/3 + 1931609\/3.\nAnswer: -(v - 1)*(v + 1931609)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) - 10845\/1446 - 35.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99588166.\nAnswer: 2, 53, 939511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.4 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68119477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -358 - -361. What is the derivative of 5*f**2 + 9*f**2 + f**t - 10*f**2 - f**3 + 2*f**4 - 26 wrt f?\nAnswer: 8*f**3 + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31878 and 39.\nAnswer: 31917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0 = 10. Let m(k) = k - 15. Let o be m(14). Let u be (o + 4)\/(4*1\/(-2)). What is the third biggest value in -1\/3, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.044795 years in millennia?\nAnswer: 0.008044795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -88, -157, -218, -253, -244, -173, -22?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61112161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441232 (base 6) to base 10.\nAnswer: 36596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y - y)*(-2*y + 0 + 0)*(2 + 2 - 2).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39124*d + 5742 = 39058*d for d.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3920, -16079, -36358, -64763, -101300, -145975, -198794?\n\"Answer: -f**3 - 4054*f**2 + 10*f + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 5. Let y be g(-5). Let c(k) = 452 - 2*k - 919 + 462. What is c(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/8)\/(3\/18). Let d(i) = -12*i + 11*i - 3 + v. Let j(l) be the third derivative of -l**4\/8 - l**2. Calculate j(d(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 16) to base 2.\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 8 (b) 3 (c) -2 (d) -4 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + 2*h**3 + 4*h + 2*h**2 - h**2 in the form i*h**3 + a*h + s*h**2 + j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 647 by 840.\nAnswer: 647\/840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 100447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83847*c - 83847*c + 23*c**2.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*b)*(74 + 299 + 122 - 19) as m + n*b and give n.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iod when three letters picked without replacement from idiiiiodddidoid.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(512) + sqrt(2))**2 + -6*(1*sqrt(2) + sqrt(2))).\nAnswer: -12*sqrt(2) + 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479\/2, 2, 0.5, -4, 4.\nAnswer: -479\/2, -4, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233bb (base 13) to base 7.\nAnswer: -355452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7509534 is divided by 3754766.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83136 by 6.\nAnswer: -13856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -24*o**2 + 117*o - 1. Calculate m(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 226*s - 669. Calculate k(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004484867757 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.5882032*-0.05.\nAnswer: 0.37941016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 1, 285, -4 in increasing order.\nAnswer: -4, 0, 1, 2, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**2\/2 + c + 386. Let i(w) = 10*w**2 - 2*w + 4. Calculate -i(d) + 2*p(d).\nAnswer: -10*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ec7 + -2?\nAnswer: -1ec9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 137*x - 50*x - 6210 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 + 5*s**2 + 3*s - 2. What are the prime factors of h(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or -136602?\nAnswer: -136602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -109*a - 27. Let r(b) = b - 1. Let v(t) = n(t) + r(t). List the prime factors of v(-3).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 133*h**2 - 2*h - 1. Calculate the remainder when c(-1) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5232, 5237, 5242, 5247, 5252, 5257?\nAnswer: 5262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 4*t**2 - t - 2. Let j be w(3). Suppose 0*l + i - 65 = -4*l, -3*l + 52 = j*i. Let n be (l\/36)\/(28\/6). What is the smallest value in n, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*a, -3*a = 4*i + i + 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubbu when four letters picked without replacement from bbbubbbbuubbbb?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 3:38 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 + -78. Differentiate -6*l**2 - 11*l**o + 10*l**2 - 24 - 9*l**2 with respect to l.\nAnswer: -32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlvvlnvnu. What is prob of sequence vvu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 2. Let d(b) = -b**2 + 4*b - 10. Let j be d(4). Calculate the lowest common multiple of t\/j*(-25)\/(-2) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/5*(-239)\/(-2). Let b = 7 + l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 343 + -199. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -799*v**3 + 9*v**2 + 1085*v + 18. Let n(b) = -399*b**3 + 4*b**2 + 542*b + 8. Let f(t) = -4*d(t) + 9*n(t). Find the second derivative of f(k) wrt k.\nAnswer: -2370*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 855*c**2 + 12. Let a(v) = -v**2 + 2. Determine 6*a(g) - j(g).\nAnswer: -861*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 32506412043.37?\nAnswer: 32506412043.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f - 1. Let l(k) = -13*k**3 - 38*k**2 - 2*k - 2. Let h(g) = l(g) - 2*z(g). What is the third derivative of h(c) wrt c?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 566\/15, 2\/9, -0.0643?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 23 = -19, -5*l = 5*w - 0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 1:52 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42800?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.7352 less than -12379.158?\nAnswer: -12158.4228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.18 (c) 1 (d) 0.37 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15623 and 158987.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1498182988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (27\/3 + -2). Let p(y) = -11*y. Let o be p(-1). Let i = o + u. Solve 4*b + 4 = i*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/20209, 3, 67?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(152)*1 - sqrt(152)))\/sqrt(8) - (-4 + -2 + sqrt(171)).\nAnswer: -3*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 15 - 5 = 3*n, -5*n = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5.2. Let g = -11 - -11.9. Suppose 21 = 12*r - 3. Which is the nearest to 1? (a) g (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqqdnnnkrnqqnnnkknq. Give prob of sequence kndn.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 7)*(-2*q + 7 - 7) - 54 + 54 + 14*q + (0*q + 0*q - 2*q - 1)*(33 - 2 + 4)*(-1 + 6 - 3) in the form x*q + o and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 114465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvywcvivcvqycc. Give prob of sequence qv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by 113\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/1291 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 4 (b) 2\/3 (c) 1\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + 0 + 0 + (10*v**2 + 8*v**2 - 3*v**2)*(2*v**2 - 3*v**2 - v**2) + 126*v**4 + 107*v**4 - 266*v**4.\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (-16)\/(-6)*333\/148. Put 193, -2, -5, a in decreasing order.\nAnswer: 193, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {d: 3, u: 5, a: 1, n: 2, f: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/14)\/((-9)\/6) - -8585. Suppose 23*x - r = -6*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2853 + 45711\/16. Suppose -14807 = a + 5*b - 0*b, -14825 = a - b. Let s = a + 266699\/18. Calculate the common denominator of s and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 - 8*b - 24. Let u(p) = -2*p**2 + 3*p + 9. Let y(c) = -8*u(c) - 3*z(c). Let a(t) = -t**2. Calculate a(q) + y(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -848593116 divided by -42.\nAnswer: 20204598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3294.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -5*n - 3, 4*q + 16 = -3*n. Suppose i - 6*i + 40 = n. Put 3\/4, i, 4 in descending order.\nAnswer: i, 4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**3 - 16*w**3 - 6*w**3)*(-6 + 2 + 3) + (-2*w**2 + w**2 + 0*w**2)*(w - 3*w + 4*w)*(-3 - 1 + 2).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1\/1*6\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123342 is divided by 41114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -799 - -764.7. Let a = n + -25.2. What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/23 in -2, 0.5, -1\/6, 3\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8)\/((-13)\/78).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3981 is divided by 166?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 15 = -5*n + 20 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42342 - -152?\nAnswer: 42534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 417156.8 rounded to the nearest one hundred?\nAnswer: 417200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4284 + 1.6448. Let c = j - 0.1184. Let s = -1 + c. What is s rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = 0, -v + y + y = -163. Let k = 238 - v. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 14) to base 15\nAnswer: 4a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 1615, -10, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.033, 0.1, 92, 2, 4?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-628)\/6*3\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k - s, 4*k - 8 = -2*s - 0. Suppose -k*l + 4*p = 20, 4*l = p - 7 + 2. Solve 4*g - 4*y = -0*y + 32, -5*g - 4*y + 4 = l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:06 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-38 - -8) + -8 + 19 - (-1 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 3\/10*h**2 + 0*h - 1\/15*h**3 + 7. Suppose y(v) = 0. Calculate v.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 111b + -1?\nAnswer: 111a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 522 * -12.442\nAnswer: -6494.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 211075, 211070, 211041, 210976, 210863, 210690?\n\"Answer: -2*m**3 + 9*m + 211068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83905 and 2060.\nAnswer: 34568860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1154 + -25361\/22. Find the common denominator of 103\/24 and t.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1102212?\nAnswer: -1102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47810322*f - 57117528?\nAnswer: -47810322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Let y(o) = o + 1. Let z(b) = -3*p(b) - 3*y(b). Let x(v) = 5*v. Let n(g) = 3*x(g) + 2*z(g). Let r(a) = -4*a. Determine r(n(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*u - 3*g - 3 = -363*u, -4*u + g = 25 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.3, 0.7, 0, -28\/5, 0.4 in increasing order.\nAnswer: -28\/5, -0.5, -0.3, 0, 0.4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42181736 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyteetyedyeeye. Give prob of sequence yy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83.12840153 - 83.128. Round i to five dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 85 = 8*o - 7*o, -5*o + 275 = -5*q. Let b = 63 - o. Solve 9 = b*f + 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vegewwewgewreee. Give prob of picking 1 g, 2 e, and 1 r.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 5:02 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9582 + 9589. Solve 4*d - 15 = -f, -j*d = -f - 9*d + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4418 - 1.8418. What is the biggest value in 5, 1.3, 2, 14\/13, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2964 - -2989. What is the remainder when (1\/(-1))\/((-2)\/138) is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7595 + -7595. Sort -0.5, k, -2\/25, 79, -2\/9.\nAnswer: -0.5, -2\/9, -2\/25, k, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 43*h**2 + 10*h + 430. Let w be g(-43). Sort -3, -10, -2, w, 10 in increasing order.\nAnswer: -10, -3, -2, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15214, 30414, 45614, 60814, 76014, 91214?\nAnswer: 106414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15171098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 n when four letters picked without replacement from {i: 7, m: 2, n: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*a = 2*a - 1, 0 = -5*i - 4*a + 5. Suppose 4*k - 5 = 11. Calculate the least common multiple of k and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p + 1 - 2*p**3 - 2*p**4 + 4*p - 11*p + 5*p**3 - 8*p**2 in the form a*p + z*p**4 + s + i*p**2 + k*p**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccczczccccczczzc. Give prob of sequence czzz.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256929 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i**3 + 230*i**2 + 31*i + 319. Let z(u) = 7*u**3 - 164*u**2 - 22*u - 228. Let q(g) = 12*y(g) + 17*z(g). What is q(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1282\/5919 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 97835236\/7 and 13976461 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 68440.4 to the nearest 100.\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*x - 0*x - 13, -2*m - 14 = -4*x. Solve 8*z - 4 = x*z + 4*q, 20 = 3*z + 2*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + u. Let i(v) = -v - u*v + 0*v. Let c(y) = -y. Give c(i(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5344, 21209, 47594, 84499, 131924, 189869?\n\"Answer: 5260*h**2 + 85*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 64. Let d = z - -15. Sort d, 5, -1, -2\/3 in ascending order.\nAnswer: -1, -2\/3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -664, 67, 1966, 5615, 11596, 20491?\n\"Answer: 97*o**3 + 2*o**2 + 46*o - 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*k - 4*k - 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3 + sqrt(117))\/sqrt(9) + sqrt(13) + -1 + -4.\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859030311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90024*o + 90020*o - 302*o**2 - 180044*o.\nAnswer: -302*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5401789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17750 is divided by 17587?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 4*u + 0*u)*(6 - 20 - 11)*(2 - 4 - 1) to l*u + m and give l.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 10*o + 7. Let w be f(8). Let u = -98 + w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/3, -3\/7 in increasing order.\nAnswer: -4, -2\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44702?\nAnswer: 2, 7, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -31?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1026 and -8.3715.\nAnswer: 1017.6285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -125.206*-322\nAnswer: 40316.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.8 (b) 84\/67 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 6. Let b be y(0). Suppose 4*x - 3 = 9. Let w = 7 - x. Solve -4*v + v - b = 4*h, -4*h = 2*v + w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2 + 103*i + 3. Let j(s) = -9*s. What is b(j(x))?\nAnswer: -567*x**2 - 927*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 830750\/(-49845)*(-6)\/(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*((w**(11\/3)*w)\/w)\/w)\/w)\/w**(-22))\/(w\/w**3)**(-21) assuming w is positive.\nAnswer: w**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34082\/21 + -11363\/7. Which is the closest to f? (a) 4 (b) -1.4 (c) -0.1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b - 51. Let h be i(-15). Suppose -56*q**2 + h*q**3 - 10*q**3 + 34*q - 7 - 1 + 2*q**5 + 0*q**5 - 16*q**4 = 0. What is q?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 110, 220, 382, 608?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*t - 7413 + 7345 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582 a factor of 7951355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 36140.635?\nAnswer: -72281.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {q: 2, i: 5, a: 3, f: 5, e: 3}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.48805 + 225.76495. Let v = -226 + g. Let y = -0.053 + v. Which is the third biggest value? (a) 3\/7 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*c**3 - 1310*c**2 - 25275*c.\nAnswer: 5*c*(c + 15)*(5*c - 337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three eighths of a decade?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, a: 10}. What is prob of picking 2 r and 2 a?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407774 (base 8) to base 5.\nAnswer: 13311124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358054?\nAnswer: 2, 3, 269, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2\/3 + 26*f\/3 = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37019 is divided by 11732.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19278 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 6)*(0 + 1 + 0)*(-1 - 1 + 5)*(3*s**3 - 2*s**3 + 0*s**3) to the form t + g*s + f*s**3 + r*s**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(96\/(-12)))\/((-56)\/304)?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anynaqnysaqnnoayqnyn. What is prob of picking 1 o, 1 a, 1 n, and 1 q?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 19*o**2 + 33*o + 13. Let m be w(-17). Solve 40 = 5*i + m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4048 + 1468 = 213*v + 1043 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a - 529*a = -47*a - 4712 + 24242 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77\/2 of a millennium?\nAnswer: 3850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.04*7763.\nAnswer: -279778.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 + 123. Let y(k) = 14*k + 6. Let g be y(r). Solve -g*p - 19 = -d - 2*p, -4*d - 5*p - 8 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (808*7\/14)\/2. Let w = h - 185. What is the remainder when 49 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 p when three letters picked without replacement from yypyypp.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6767, 6771, 6777, 6785, 6795, 6807?\nAnswer: 6821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 159*m - 17 = -157*m, 4*m - 56 = -4*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(7\/10)\/(i*i\/(i**(-6\/7)\/i)) assuming i is positive.\nAnswer: i**(-221\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeivhtv. Give prob of picking 1 v and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {e: 4, b: 3, u: 1, c: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*s)*(-2*s - 1 + 1 + (0 - 4 + 6)*(4 - 4 - 2*s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 68787 - 2798. Let i = w - 10117. Suppose -i = 4*v - v. What is v rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2284571 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, s: 5}. Give prob of picking 3 p.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**2*n)\/n))**31\/((n*n*n\/n**7)\/n)**(-40))**28 assuming n is positive.\nAnswer: n**(-7336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 28 - 20 = -2*k, f = k - 23. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144124847\/312 + 461939. Find the common denominator of -113\/12 and i.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c19d91 + 4?\nAnswer: -3c19d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -594, 4, 83 in increasing order.\nAnswer: -594, -2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.3739 - -20.23.\nAnswer: 35.6039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4, -2*a - 11354214 = 3*p - 48044222. Round p to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/9 - 64*p**2\/9 - 160*p\/3.\nAnswer: -2*p*(p + 12)*(p + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -42, -78, -134, -216?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.14057 hours in seconds?\nAnswer: 29306.052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 89*m**2 + 208*m - 193. What is the units digit of x(88)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -7\/5 (c) -2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22113 - 21933. Calculate the highest common factor of 21240 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))**(-3\/7))**(1\/41)\/((c\/((c\/(c\/c**(-3\/2)))\/c)*c)\/c*(c\/(c*c*c*c\/c**2*c))\/c)**(-5\/13) assuming c is positive.\nAnswer: c**(1279\/7462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1526000 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/99*(-2493)\/(-554).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 62*d + 2. List the prime factors of w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2081*r**3 - 264*r - 826756 with respect to r.\nAnswer: 6243*r**2 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -n + 5*n - 108, 4*n - 5*a = 72. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1302*s + 1316*s - 238 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - l = 10, 0*z - z - 4*l = -23. Determine i, given that -3*i**4 + 18*i**3 - 14*i**3 - z*i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115444, 230884, 346324?\nAnswer: 461764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15c54 - -60?\nAnswer: 15cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-569)\/((-3)\/4 + 1). Let o be d\/(-36) - 4\/18. Suppose -6*v + 3*v + o = 0. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 17, z: 1}. Give prob of sequence hhz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 12608840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2703 - 0.7724. Let z = m - -0.0427. Which is the closest to 0.1? (a) z (b) -5 (c) -28.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/9 + 1963*s**2\/3 + 3853369*s\/3 - 9741. Find o such that r(o) = 0.\nAnswer: -1963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(228) + sqrt(228)*4)\/sqrt(12) + 0).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)*t*t**(3\/5)*((t**0\/t*t)\/t)**(-32))**32)**(-1\/6) assuming t is positive.\nAnswer: t**(-2288\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2022*d**5 - 3924*d wrt d?\nAnswer: -40440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(7\/4))\/n*n*n*n\/(n\/(n\/(n*n**(6\/7))))*n*n)\/((n*(n*(n**(-2)\/n)\/n)\/n)\/n**7))**(-14) assuming n is positive.\nAnswer: n**(-417\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 16994 + 81584. Let n = 35659 - u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/9 and 31\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**2\/2 - 19. Let p = -3 - -5. Let w(i) = p*i + 2*i - i. Calculate w(x(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/26 and 59\/32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from -7708837.\nAnswer: -7708848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1081080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -9\/296?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950378?\nAnswer: 2, 3, 325063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 6*k. Let p be 5\/1 - (2 + 2). Let w(i) = -13*i - 9. Let q(c) = 6*c + 4. Let s(h) = 5*q(h) + 2*w(h). Let j(m) = m + 1. Give k*j(l) + p*s(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -204035 - 2?\nAnswer: -204040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74.1 - 32.9. Let i = x + 249.8. Let m = i + -291.0000121. Round m to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 2*g)*(-30 + 26 - 9) - 9 + 9 + 4*g)*(3*g**2 - 7*g**2 - g**2) in the form l*g**2 + p + c*g + t*g**3 and give t.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54027367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = w - 86, 70 = j + w + 25. Suppose a = -2*d + j, 4*a = -3*d - 22 + 76. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -171.8377. What is o rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -20068.7767\nAnswer: -20085.7767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 5 - 2*w - 8)*(-2*w + 2*w - 2*w**4).\nAnswer: 2*w**5 + 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - 12*o - 7. Is z(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) -0.3 (b) 8.6 (c) -1\/3 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-220))\/(4\/448*14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 1120?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.939 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*k - 3*k. Let r(u) = u**3 - 5*u**2 - 6*u + 8. Let f = 12 - 6. Let t be r(f). What is the highest common divisor of k and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 14 = -24. Let t = w + 22. Solve -1 - 8 = t*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -60. Let d(i) = 3*i - 4*i - 2 - 62*i**3 + 61*i**3 + 4*i**o. Calculate d(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*a**3*v**2 + 7*a**3*v + 252*a**2 - a*v**2 + 3*v**2 - v wrt v.\nAnswer: -254*a**3 - 2*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7328 by -1832.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 7) to base 13\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -231. Let k = m + 121. Let i(f) = 0*f**2 - f**2 - 23 + k. Let n(z) = 10*z**2. Give i(n(c)).\nAnswer: -100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -19*n**3\/6 - n. Let b(h) = 7*h**2. Let w(t) = 6*t**2. Let g(c) = 5*b(c) - 6*w(c). Give m(g(r)).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.853 - 39.153. Round m to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/736 and 51\/8.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 284 + -132. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {q: 1, x: 2, v: 1, j: 2, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 5:21 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(1\/(-6))\/((-18)\/8). Let h = 0.0242 - -0.0158. What is the closest to 0 in h, -0.5, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/41 in -9105, 2, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8159d8 + -4?\nAnswer: 8159d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*i*l**3 + 3*i*l - 4*i - l**3 + 6*l wrt l.\nAnswer: 564*i*l - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(4\/(56\/1)) - -1 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 906 - 908. Sort t, -5, 0, -4.\nAnswer: -5, -4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3130185 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281845583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-108)\/(-645)) + 19\/57*18.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (608\/836)\/(6\/(-11)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -159570.\nAnswer: 1\/10638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 170195 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00091699 rounded to 5 decimal places?\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.57 + -0.77. Which is smaller: -1\/99 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -59*q - 60. Let x be y(5). Let p = x + 958. List the prime factors of p.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(4*(sqrt(1584) + -2 + sqrt(1584)) - (sqrt(1584) + -4)*-2)**2*2.\nAnswer: -5076992 + 122880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 518430903 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 124463, 124460, 124457?\n\"Answer: -3*v + 124466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1563 not equal to -1559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 19*g = 14*g + 67*g - 3180 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 9495*y**3 - 77 + 24 - 9490*y**3 + 25 + 15.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1668383526 less than 5?\nAnswer: 5.1668383526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2) + -1)*34. Let v = q + -11. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 26*l - 40 = 2*h, -3*h - 21 + 83 = -4*l for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2055\/(-822))\/(15\/(-210)*(-14)\/8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*o + 62 = 0, -4*u + o = -6*u + 69. Solve 18*z = -u - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1489782 is divided by 2483.\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**7*t**(-4))\/(t**(2\/3)*t\/t**(-2\/15)))**32)**43 assuming t is positive.\nAnswer: t**(-81184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**4 + 0*u**2 + 1\/100*u**5 - 1\/210*u**7 + 0*u**3 + 0 + 7*u + 0*u**6. Determine p, given that j(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-21))\/(-3) + (-337041)\/87381.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**15*h\/((h**27\/h)\/h) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*d - 252*d + 520*d - 198254 = 0. Does 135 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23117?\nAnswer: 23117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 606891 - -24?\nAnswer: 606915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066332?\nAnswer: 2, 3, 88861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 + 94*f**3 + 41*f**2 - 25*f**2.\nAnswer: 94*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, 1, -38, 3 in ascending order.\nAnswer: -38, 1, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*m - 2 = 4*m, -4*d + 2*m + 14 = 0. Suppose -5*u - 27 = 3*y, -4*y - 28 = 5*u - 2. Let i be (-3)\/u - ((-3)\/2 - 0). Solve -i*j = -d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/2 + 13\/(-26). Suppose 0 = -2*r - 8, -l*u - 3*r + 123 = 0. What is the remainder when 132 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 + -76. Let w = r + -18. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 9:55 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 20*w + 69. Calculate m(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 465*g**2 + 73*g - 74. Calculate d(1).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24170*t - 4604*t - 12202*t + 6238*t.\nAnswer: -34738*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) -1 (c) 0 (d) 60\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u - 1. Let f be q(-1). Let t = -0.06 - 0.34. Let s = 0 + t. What is the third smallest value in -1\/3, f, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let s be 3 - 18 - 2\/(-2). Let i = s + 16. Let n be m(i). Solve -4*u - 16 = -n*l, 3*l + 0*u = 5*u + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v - 7. Let d be y(-5). Let l be ((-10)\/(-3))\/((-4)\/(-30)). Suppose 0 = -2*i - d*o + l, 4*o - 2*o + 2 = 0. Solve 4*u + 2 = -i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 9*y**2 + 19*y. What is v(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 8 - 22*a - 11 - 5*a.\nAnswer: -28*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -985*s**3*t**3 - 9*s**3 - 15*s*t - s + 5*t**3 + 39 wrt s.\nAnswer: -5910*s*t**3 - 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 5*l - 2. Let n be m(-3). Suppose 4*i - 72 = n*x, -2*i - x + 36 = 2*x. Let a(y) = -2*y**2 + 65*y + 51. Let b be a(33). Is i bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 greater than 5180\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 3*p + 218. Which is smaller: -136 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.018 - -5.018. Let q(o) = 2*o - 6. Let f = 2 - -2. Let l be q(f). Which is the second smallest value? (a) z (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272122, 272121, 272122, 272125?\nAnswer: 272130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43796 + -29493. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3341 + -3334. Solve 21*h + b = 154 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/5))**(-1\/7))**17 assuming g is positive.\nAnswer: g**(51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*z**4 + 195*h**3 + 14*z wrt z.\nAnswer: 8*h**3*z**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - (sqrt(52) + sqrt(624)\/sqrt(192)))\/((sqrt(4) - 2*sqrt(4))*1))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - 2)*(3 + (-107)\/3). Let t be (6\/(-16))\/((-49)\/f). Solve 0 = t*s + 7*s - 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 3:43 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37134 by -5.\nAnswer: 37134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 8)*(-2*d**4 + 3*d - 3*d) + 2*d**4 - d**4 - 2*d**4.\nAnswer: 15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 - 1 - 12*n**3 + 6*n + 6*n - 18*n + 7*n**2 + 6*n in the form f*n**4 + x + u*n**3 + z*n + o*n**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1033\/5 - -7221\/35. Is p greater than -1.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by 1486.\nAnswer: 92\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from zkajak.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**7\/105 + g**6\/30 - g**5\/30 - g**4\/6 - 7*g**2. Solve q(s) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/378*-7*12?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 131391?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9b05 (base 12) to base 13\nAnswer: 7a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*j - 3157 = 8456. Solve 46*q = j*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 6. Let g be r(5). Let w(b) = b**2 - b - 1. Let x(q) = -q**3 - q**2 - 4*q + 3. Let j(s) = g*x(s) + 4*w(s). Let d = -9 - -4. Give j(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 105?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9780372*j**5 - 3294782*j**2 + 2 wrt j.\nAnswer: 586822320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -203801b (base 13) in base 2?\nAnswer: -100101001110000011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**4*r)**(2\/47))**(-8\/9))**(-28))**48 assuming r is positive.\nAnswer: r**(35840\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 56708.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**2 + 13*k + 7. Let y be -14 + (-7)\/((-21)\/(-9)). Let h(p) = -20*p**2 - 38*p - 20. Let c(z) = y*u(z) - 6*h(z). Give c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 - (-2 + 5 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 12. Suppose -2*q + 276 = -3*c, 2*c + 4*q - 462 = h*c. Let d be 9\/(-15) - 64\/c. Are 0 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.178 + -6.178. What is the nearest to -2\/5 in c, -0.1, 80, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -19*x + 4. Let m be h(-2). Let i be (-1 - -2) + m\/(-35). Let z be (168\/2646)\/((-2)\/9). Which is the nearest to z? (a) i (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -52.08. Round j to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3893.\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) 8 (b) -5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*k**3 + 76*k**3 + 1111 - 1111.\nAnswer: -52*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**3 - 15*k**2 + 19*k + 32. Let f(m) = 2*m**3 - m**2 + m - 1. Let u(g) = 4*f(g) - h(g). Let b be u(-12). Solve b = 2*l - 23 + 33 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57.9*-3\nAnswer: -173.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 81578533?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20b78 (base 16) to base 8\nAnswer: -405570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27\/18)\/((-2)\/(-8)). Let z = 34 - d. Solve -4*q = -5*m - 1 - z, -5*q - 2*m - 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -46.9?\nAnswer: 52.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 23 - 1 = -12 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0 + 1\/147*i**7 + 0*i**4 + 0*i**2 + 2\/105*i**6 + 1\/70*i**5 - i + 0*i**3. Suppose y(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 24. Let p(x) = x**3 + 7*x**2 + 7*x + 9. Let b be p(f). Let o = -7 + 7. Solve o*v - b*v + 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11\/9 - -41\/18. Find the common denominator of o and (-3)\/((-6)\/(-8)) + (-1455)\/180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 15*l - 12 - 29*l + 12*l.\nAnswer: l - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 711 + 710 + 703 - 5*h**3 - 2124.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 5*u**2 + u + 4. Let q be o(-5). Let a = 3 + q. What is the units digit of 13 - (a + (2 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 529 + 59. Let y be (h\/(-18))\/(-7)*20\/(-140). Let j = 0.05 - 6.05. Which is the closest to -1? (a) -5 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -265569, -531126, -796683, -1062240, -1327797?\n\"Answer: -265557*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5962 by 542.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/5, -0.3, 0.4, -6, 4\/43, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4499 or -4495?\nAnswer: -4499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4035914 is divided by 152?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710 is divided by 222.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 147*p**4\/4 + 1482999*p**3\/4 + 1059057*p**2\/2 - 393387*p + 60522 = 0?\nAnswer: -10087, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6466 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 26*n - 81. Sort -6, n, 9, 3, -5.\nAnswer: -6, -5, n, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13450 - -13464. What is the remainder when 76 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.98 + 0.02. Sort 1\/2, -0.9, g, 0 in ascending order.\nAnswer: -0.9, 0, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6199055 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4753*r + 17165. Calculate n(-4).\nAnswer: -1847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4591.004kg to milligrams.\nAnswer: 4591004000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -5 - 2 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26d - 14?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16439 + -16436. Solve -w = -5*m + 22, -21*w - a*m = -18*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 46. Let j = 1.46 + -30.86. Let z = j - h. What is z rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.82 times 37878?\nAnswer: 144693.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*v + 8, 5*p = -4*v - 1 + 15. What is the closest to -3 in p, 5, -1\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 215, 229, -201, -1297, -3281, -6375, -10801, -16781?\n\"Answer: -37*i**3 + 273*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*(-26)\/(-585).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 13*i - 240. Suppose 5*w = -0*u - 4*u + 1, 5*u = -3*w + 11. Suppose i = -u*a + 388. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88576, 88566, 88556, 88546?\n\"Answer: -10*y + 88586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 0, -1, 5, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63140 is divided by 726?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*y = 5, 0 = -y - 0 - 1. Let l = -17 + 12. Suppose -5*u - 5 = 4*x, -2*u + 4*x - x = -21. Sort u, l, h in decreasing order.\nAnswer: u, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y - 30. Does 9 divide z(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -784.407 to 0 dps.\nAnswer: -784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*f - 32*f - 15890 = -105*f + 15009 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2302*s + 13335 = -2297*s. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49360 and 400?\nAnswer: 246800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25, -34, -43, -52, -61, -70?\n\"Answer: -9*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -618\/949 or -1?\nAnswer: -618\/949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let i(g) = -1. Determine -2*i(k) - r(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**5\/20 + 5*l**4\/12 + 2*l**3\/3 + 2*l**2 + 34*l. Let y be z(-3). Calculate the greatest common factor of 250 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Suppose -2 = -s + g. Determine z so that -z - 2*z**4 + s*z**3 + 4*z**2 - 4*z**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-22)\/((t\/((t*t**(-16))\/t))\/t)*t\/t**(11\/3)*t*t*t\/(t\/((t*t*(t*t**(-29)*t)\/t*t)\/t)) assuming t is positive.\nAnswer: t**(-194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668975*l - 668976*l + 1337946*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 433071, 864234, 1295399, 1726566, 2157735?\n\"Answer: k**2 + 431160*k + 1910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*g - 329, -2*c - 3*c - 875 = 5*g. Let r = 96 + c. Is -5*(r\/20)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*q, -2*h - 4*q - 8 = -32. Let n(b) be the third derivative of 0 + 0*b - 1\/420*b**6 + 1\/105*b**5 - 1\/84*b**4 - 6*b**h + 0*b**3. Factor n(j).\nAnswer: -2*j*(j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223092 divided by -6197.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003687027133 to 7 dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/(-14) + (-4)\/(-14). Let r(v) = 21*v**3 - 15*v**2 - 5*v - 3. Let w(l) = -5*l**3 + 2*l**2 + 3*l. Let a(p) = -r(p) - 4*w(p). Determine a(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n**3 + 1\/600*n**6 + 0*n - 6*n**2 + 0*n**5 + 0 + 0*n**4. Factor c(g).\nAnswer: g**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*k**2 + 56\/3*k - 56\/3*k**3 + 0 + 1\/6*k**4.\nAnswer: k*(k - 112)*(k - 1)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8835, -35432, -79925, -142452, -223151?\n\"Answer: -23*c**3 - 8810*c**2 - 6*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u - 4. Let t be y(-3). Suppose 0*c - t = -5*c. Suppose 5*s + c*a = 17, 0*a - 29 = -5*s + 2*a. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337 - 2665 = 72*h - 227 + 1931 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from {s: 1, t: 2, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*f + 61*f + 51*f + f - 3 + 3 + (f + 3*f - 2*f)*(-3 + 3 - 2) - 2*f + 3*f + 0*f - f + 0 + 0 to j*f + l and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8737*d**2 - 4*d - 102 - 8713*d**2 + d**3 + 17451*d**2 to c + m*d + k*d**3 + t*d**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-12))\/(1\/2). Let p(u) = -u**2 + 6*u. Let m be p(5). Let g = -5 - -1. Sort o, m, g in descending order.\nAnswer: m, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 + 2766*d - 33090264 = 0. What is d?\nAnswer: -3814, 2892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330261717?\nAnswer: 3, 110087239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Sort -5, 1, v in decreasing order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7560 divided by -56\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 30 - 24 = 0. Let d(w) be the second derivative of -1\/10*w**4 - 3*w + 1\/5*w**p - 1\/5*w**2 + 1\/50*w**5 + 0. Factor d(r).\nAnswer: 2*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*y = -345*y - 229*y - 10971 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**3\/6 + 8*z**2 - 3*z. Let w be v(11). Suppose x - w = -0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 = 7*r, 24 = 3*s + r. Let i(c) = -2*c**2 + 14*c + 8. Let a be i(7). Solve s*u - a*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -356, -2468, -5992, -10904, -17180, -24796?\n\"Answer: 4*i**3 - 730*i**2 + 50*i + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 10*a + 15*a - 2032*a**2.\nAnswer: -2032*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14923707 to the power of 1\/2, to the nearest integer?\nAnswer: 3863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + 138\/(-24). Let k = x + 9. What is the second derivative of -k*f**3 - f - 2*f + 5*f wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/9))**38*(r*r**(-11\/3)*r)\/(r**(1\/5)*r))**(-1\/3))**(-9) assuming r is positive.\nAnswer: r**(-509\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w + 4. Let a be ((-10)\/(-15))\/((-2)\/(-6)). Let o(x) be the first derivative of 1 - 3 + 5 + 0*x**2 - x**a + x. Give 6*l(v) - 22*o(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 6*s**2 + 2*s + 8. Let k be v(-6). Suppose 62 = -7*w + 6. Put w, -5, k in ascending order.\nAnswer: w, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12828, 22043, 31246, 40431, 49592, 58723, 67818?\n\"Answer: -s**3 + 9222*s + 3607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214032 is divided by 75.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 25*a**2 + 198*a - 3592. Calculate c(23).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 12*l**2 + 14*l + 18. Calculate p(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*u - 16 + 1 = 0, -3*v + 5*u - 25 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 623.2 - 627.167. Let r = -0.033 + v. What is the third biggest value in 3, r, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -27 + 13*l**2 - 106*l**3 + 13*l + 107*l**3 - 3*l. Let f be y(-12). Let s(r) = -4*r - 3. What is s(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*f - 426 = -72, 4*f = -r + 167. Is r a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200422 and 20042200?\nAnswer: 20042200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -980, -2202, -3914, -6116, -8808?\nAnswer: -11990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49368 is divided by 526?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.176\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -16*l**3 - 256*l**2 - 622*l + 14. Give r(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/14 + -1)\/(13414\/(-532) + 25)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**5\/120 + p**4\/24 + p**3 - 2. Let d(j) be the third derivative of z(j). Calculate d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*b - 710, 4*p - 701 = b - 0*b. Suppose 5*k + 5*h = 780, -5*h = -k - 2 + p. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/6)\/(-1)*675\/35.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -8*k**3 - 2*k**2 + 1. Let f = -45 - -44. Let n be a(f). Find the third derivative of -n*s**3 + 3*s**2 - 10*s**2 + 8*s**2 wrt s.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4, 0 = l - 0*b - 2*b - 172. Calculate the greatest common factor of 68 and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) 4 (c) -606 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -572*o**4 + o**3 + 30*o**2 + 2 wrt o?\nAnswer: -13728*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, -21 in increasing order.\nAnswer: -21, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Let m(h) = 2*h. Let r(t) = -29*t. Let p(l) = 5*m(l) + r(l). What is p(j(b))?\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79253 divided by -41?\nAnswer: -1933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*p - 12 = 0, -57 = -g - 3*p - 58. Which is the closest to -0.3? (a) 0.1 (b) -1 (c) 0.5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 70256.33792604 and -0.03.\nAnswer: 70256.30792604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14732798 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*w - 4474 - 4162 = -2108 for w.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7773\/4 - -1933. Let f be (-3)\/8 + 166\/16. Calculate the common denominator of (((-2)\/f)\/1)\/((-374)\/(-7905)) and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 10:09 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1545018843 to 5 dps.\nAnswer: -0.1545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 - 28*a + 20. What are the prime factors of b(-9)?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38731, -38945, -39295, -39775, -40379, -41101, -41935, -42875?\nAnswer: -43915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27790959.\nAnswer: 3, 7, 37, 47, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-12\/13)*b**(-37)*b**(-17\/6)*b**29*b assuming b is positive.\nAnswer: b**(-839\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.7436995 to one decimal place.\nAnswer: 19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24838871 is divided by 379.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2352, 2345, 2332, 2313, 2288?\nAnswer: 2257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500778 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11689*h*i**3 - 2*h*i + 43*h - 63*i**2 + 32*i - 55 wrt i?\nAnswer: -70134*h*i - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/5533 and -19\/121.\nAnswer: 60863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-10)*t)\/t)\/t*t*t*t\/t**(-1\/7)*((t\/t**(-1\/12))\/t)\/t**(-4\/5))**44 assuming t is positive.\nAnswer: t**(-32219\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/9*m**3 - 26\/9*m + 8\/9 + 10\/3*m**2 + 2\/9*m**4.\nAnswer: 2*(m - 4)*(m - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -1661. Solve -1500*k + 42 = -h*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/759*(-1602)\/356.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -10. Suppose i = j - 7, 4*i + 1 = -4*j + m. Solve -4*k - 26 = q + q, 0 = 2*k - j*q - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*a**3 + 1831643*a**2 - 1 - 1831643*a**2.\nAnswer: 99*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5787 and 535619.\nAnswer: 4820571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41113413823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*p**5 + 36*p**2 - 117 + 0*p**5 + 117 wrt p.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -12. Suppose -29 = -y*b + 6. Find the first derivative of b + 2*w**4 - 4 + 0*w**4 wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18471.\nAnswer: 3, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.669 - 744.669. Is 7 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 12\/23, -678, -0.2, -1\/6, -0.3, -6\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9110214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518382?\nAnswer: 2, 29, 47, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 5*g + 103, 4*r - 4*g + 52 = 2*r. Is r less than -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 - -118. Let x(p) = 15*p - 72. Let g be x(u). Solve 0 = -8*f + g*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*a**4 - 47*a**3 - 6718*a?\nAnswer: -1284*a**2 - 282*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 0.1959?\nAnswer: -4.8041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 = 3*k - 48, -3*k = -n + 36. Suppose -9 = -j - 4*i, 3*i - n = -4*j - i. Suppose 376 + 299 = j*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - q**2)*(-q + 3*q - 3*q) - q + q - 2*q**3)*((-q + 2*q - 2*q)*(-4*q + 9 - 9) - 2*q**2 - 2*q**2 + 3*q**2).\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 40 - 35)*(1 + 3 - 3)*(-3*v - 4*v + 8*v)*(-v + v - v)*(-2 - 2 + 5).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aef - -11245?\nAnswer: 10756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = v - 3*v, 0 = 2*v - 2. Suppose -118 = -2*r - 2*r + 2*x, -b*x = 2*r - 54. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352438931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 161. Let g be v(-37). Let m(w) = -55*w**2 + g*w**2 + 28*w**2. Let i(y) = 9*y**2 - 3*y**2 + 14*y**2. What is m(i(c))?\nAnswer: -1200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 7. Let f(d) = d. What is the remainder when g(7) is divided by f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/120 + 11*z**5\/60 - z**4\/8 - 13*z**3\/3 - 28*z**2. Let w be b(-11). Let g(s) = s**2 - 8*s - 6. Determine g(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001257 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazpmmmmzzazzz. Give prob of sequence mzma.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 2981.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7145 + 11?\nAnswer: 7156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:12 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, -0.3, -1, -53 in increasing order.\nAnswer: -53, -5, -1, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13670 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-14) - 2*-1. Suppose -3*g = f - 12. What is the tens digit of (g - 4\/8)*26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46810 and 32767?\nAnswer: 327670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101100101101110001 (base 2) in base 12?\nAnswer: 708269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66.077 + -66. Let m = u + 9.923. Let g = 14 + -19. Are g and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 30 = 14*i. Suppose -2*h + 728 = -l, -3*h + 472 = -i*l - 634. List the prime factors of h.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/230 and 83\/50.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m**2 - m**2 - 4*m**2. Let k(i) be the first derivative of i**3\/3 + 2. What is k(l(z))?\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 74 = 2*y + m, 4*m = -2*y + 80. What is the remainder when y is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-6 + -5) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - ((-687 - -705) + -35 + -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/18)\/8 - (2128\/(-48) - -40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-51))\/((-2)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.19 + 37. Let v = 0.29 + q. Let k = 0.3 - v. Sort -0.5, k, -2\/15.\nAnswer: -0.5, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -1\/21*j**3 + 0*j**2 - 1\/105*j**6 - j + 1\/70*j**5 + 1\/42*j**4 + 0. Factor g(u).\nAnswer: -2*u*(u - 1)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 21*a. Let i(c) = 147*c. Suppose 6*l = -l + 28. Let r(o) = l*i(o) - 27*t(o). Let d(b) = -2*b. Give d(r(m)).\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*j - 1936*j - 1094*j = 2359*j - 233172 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -14. Let u = 4 + m. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -106, 4, -24?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffcrrrccrrcfur. Give prob of sequence fff.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/8)\/(-2 + 0). Let c = -10 - -9. Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6 and 42\/31?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*h - 933 - 486, 0 = 5*h - 2*k - 2403. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374385\/7 + (-1)\/98*-42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 1 = -y. Is (129 - y) + 1\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 45*d**2 - 370*d + 13. Give l(-12).\nAnswer: 1429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245464949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 263472419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 2*q**2 + 27*q - 38. What is the tens digit of y(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) + sqrt(54)*-1).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 16. Solve 2*t - 1 - f = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/5, -1, 8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**4 + 718760*b**3 + 25827202830*b**2 - 258325937800*b + 645859770125 = 0?\nAnswer: -71881, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4 = -26. Let m be (3\/(-2))\/(i\/12). Calculate the greatest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t. Let o(q) = 126*q. Determine o(l(r)).\nAnswer: -504*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000495 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 16*h**5\/15 - h**3\/6 + 12*h**2. Suppose u + 2*v = -3, 2*u - v + 7 = 6. Does 14 divide i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3016*h + 0 - 3.\nAnswer: -3016*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64578518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1696489637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17066917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*p = -3*i + 2, 3*i = 4*p + 6. Suppose 4*v = -8, -a + i*v + 0*v = -4. Let j = a - 1. Let l(b) = -11*b. Determine l(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (74 - 69) + (-18)\/4. Let t + g - 1\/2*t**2 - t**3 = 0. What is t?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67557.3 millennia?\nAnswer: 67557300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001010001101111 - 1011111?\nAnswer: -110001010011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53408275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 12*d = -2*d + 91 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Suppose 0 = g*u + u - 4755. Let a = u - 515. Round a to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -4\/16617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*f + 14, 0 = -f - 7 + 9. Suppose -3*x - 2*x + g + 32 = 0, 2*x - 8 = -d*g. Solve 0 = -4*v + x + 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 44. Let r be (x\/8)\/3*(8 - 12). Solve r*g = 4*h + 35, 2*h = -5 - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -193, -441, -689, -937, -1185, -1433?\n\"Answer: -248*v + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -1\/3, 5\/2, 2\/9, 22, -0.37, 1\/131?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5 - t + 1 - 6 + 12*t**2 - 2. Let s be b(-12). Suppose 24 = s*l - 2*l. What is the least common multiple of l and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*a - 156 + 208 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 344696*g**5\/7 - 947930*g**4\/7 - 1206392*g**3\/7 + 3360842*g**2\/7 - 1551288*g\/7 + 72\/7 = 0.\nAnswer: -2, 2\/43087, 3\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**4 - 12*a**3 + 64*a**2 + 5*a. Let r(k) = -6*k**4 + 13*k**3 - 65*k**2 - 6*k. Let v(u) = 5*r(u) + 6*y(u). Find the third derivative of v(t) wrt t.\nAnswer: 144*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111010100001 (base 2) in base 7?\nAnswer: 456545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3499477)\/134*8\/(-4)?\nAnswer: 19, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.3 - -28. Let v = 5 - 5. What is the smallest value in -0.1, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23749 divided by 23749?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 36 = -4*f. Let s(g) be the first derivative of -g**3\/6 - g**2\/2 - 5*g + 6. Let t(j) be the first derivative of s(j). Determine t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 2:00 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 8 - -2 - (10 + -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10272 and 182?\nAnswer: 934752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/60 + 7*p**4\/24 - p**3 + p**2. Suppose -28 = 2*s - 0*b + 4*b, -s - 20 = 4*b. What is the units digit of y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 6 = -45*f + 47*f, f - c = -8 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2934, 2936, 2938, 2940, 2942?\n\"Answer: 2*g + 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546452?\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26075 divided by 4.\nAnswer: -26075\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6876, -13945, -21014, -28083, -35152, -42221?\nAnswer: -49290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1133 + 1244. Suppose -3*b - 146 = -b. Let q = i + b. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1302042 and 1624?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2))**(-3\/14))**(11\/5)\/((x*x**(-2))\/x*x*x\/(x*x**(-4))*((x*x**(-1))\/x)**(-2\/5)) assuming x is positive.\nAnswer: x**(-443\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 46, -107, 3, 1 in increasing order.\nAnswer: -107, 1, 2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 14 - 1 + 80*i - 10 + 21 as b*i + a and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/120)\/((-9)\/(-1890))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-2)\/(-3) - 0. What is the highest common factor of 22 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**4 - 4515*v**3 - 3096943*v**2 wrt v?\nAnswer: 96*v - 27090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -155*k - 1. Let g(r) be the third derivative of -r**4\/24 + 52*r**2 - 1. What is w(g(n))?\nAnswer: 155*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 53*r - 200. Calculate w(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t + 25*t + 34*t - 114*t + 28*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 23619430*q + 27893873676245.\nAnswer: 5*(q - 2361943)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31340670*g**3 - 3*g**2 - 242236*g?\nAnswer: -188044020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4 + (5*sqrt(125)*1 - ((sqrt(125) - sqrt(125)*-2*-5) + sqrt(125))) + (sqrt(125) + -1 + -3 - sqrt(125)*2*4))**2 + -3).\nAnswer: 17988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028118 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.123 + 65.123. Let g = p - 64.9999806. Round g to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 73 + 3*u**2 - 88 + 245.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111122210 (base 3) in base 4?\nAnswer: 2123211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801130 divided by 360226?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2711 - 593696\/219. Let m = 68626\/61413 + 7\/1861. What is the common denominator of o and m?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -7*d - 15. Let h = d - -14. Find u, given that -1\/4*u**4 + 0*u**2 + 1\/4*u**h + 0 + 0*u + 0*u**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 2\/11 (c) 0.54 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/7 - (2 + 5\/(-7))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/17, -5\/6, 6, -11 in ascending order.\nAnswer: -11, -5\/6, 2\/17, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41127 is divided by 462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3 + 2772138*f**2 - 8316393*f + 5544258 = 0?\nAnswer: 1, 2, 924043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 21*b**2 - 6*b - 37. Let k(g) = 34*g**2 - 10*g - 61. Let a(d) = 13*i(d) - 8*k(d). What is a(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**4\/6 + 162*d - 196. Let t(w) be the first derivative of i(w). Let f(c) = -14*c**2. Calculate t(f(b)).\nAnswer: 392*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u + 22. Let f be k(-7). Solve -3*b + f = 51 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17858002 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5 + 77*i**4 - 570*i**3 + 676*i**2 + 40*i - 225 = 0. What is i?\nAnswer: -45, -1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 35 = -5*w, 2*w = -2*w - n + 3. Let k be -4*(27\/6)\/(-1). Let g = -10 + k. What is the least common multiple of w and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + b**2 - b - 1. Let a(j) = -6*j**2 - 16*j - 10. Suppose -3*y - 38 - 25 = 0. Let u = y - -20. Let g(m) = u*a(m) + l(m). Solve g(q) = 0 for q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 3, l: 1}. Give prob of sequence li.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/5 (b) -1484 (c) -4 (d) -6 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l**(-3)*l)\/(l**(-4\/5)\/l**3)*l**(-2\/7)*l\/(l*l\/((l\/(l\/l**(-6)*l))\/l)*l*l)*(l**1)**24 assuming l is positive.\nAnswer: l**(543\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2620, 2323, 2026, 1729, 1432, 1135?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89286 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3830 - 3828. What is the second biggest value in 358, p, -2\/29?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61604, 61758, 61912, 62066, 62220, 62374?\n\"Answer: 154*f + 61450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tthlttll. What is prob of picking 2 t and 1 h?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*p**4 + 15*p**3 - 3*p**2 = 0. Calculate p.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -17. Suppose -3*o - 2*s = -2, 0 = -5*o - s - 0*s + y. Do o and 5\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**8\/6720 + q**7\/360 + q**6\/720 - q**5\/40 + q**4\/8 - 2*q**2. Let u(f) be the second derivative of x(f). Calculate u(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 467 - 101 = -u, -4*u - 736 = 4*f. Let p = f - -100. What is p rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 366, 727, 1088, 1449, 1810, 2171?\n\"Answer: 361*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546939?\nAnswer: 1546939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*a**4*q**2 - a**3*q**3 + 3*a - 12*q**3 wrt a.\nAnswer: -444*a**2*q**2 - 6*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461536.46ns in days?\nAnswer: 0.00000001691593125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 72943\/(-11222)*114\/(-13)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-8\/7))\/c)\/(c*c**(-23)\/c))\/((c**(-4\/9)\/c)\/c**(15\/7)) assuming c is positive.\nAnswer: c**(238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/(-1))\/((-21)\/12 - -2). Suppose -v = -l - 126. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*d**2 + 36*d**2 + 3*d**2 to u*d**2 + f*d + v and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 4. Let t be u(4). Let g(b) = -b**2 + b + 8. Let a(m) = m**3 - 3*m**2 + m - 6. Let s be a(3). Let q be g(s). Put t, 5, q in increasing order.\nAnswer: q, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5322*l. Let a(m) = 236*m - 1. Determine h(a(f)).\nAnswer: -1255992*f + 5322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11)\/(u\/(u\/(u\/u**(-3\/8)))*u))**(-4\/5)\/((u**(-1))**15*(u**(-2\/7)\/u*u)**(1\/20)) assuming u is positive.\nAnswer: u**(6456\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coccccccooc. What is prob of picking 2 o and 1 c?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = -84. Let c = -20 - j. Solve 4*w + 3 = -c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)\/v*v*v**(1\/4))\/((v*(v*v**(-1\/3)*v)\/v)\/(v**(-3)\/v))*v*v\/(v\/v**(-3))*v*v**2*v**(-1\/3)*((v\/v**(-1))\/v)\/v*v assuming v is positive.\nAnswer: v**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 11*s - 16. Let y be c(8). Solve -f = -2*b - y, -3 + 5 = 4*f - 2*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158416*u**3 - 209190*u + 2?\nAnswer: 950496*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 150282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 45*p**5 + 9335*p**4 + 39735*p**3 - 1951915*p**2 + 3747060*p - 1844260 = 0.\nAnswer: -202, -166\/9, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 3 - (2 + -9). Suppose 3*y - v = y. Let a = y + 8. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3863195 and -0.08.\nAnswer: -309055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-219*m**2 + 38*m**2 - 145*m**2)*(21*m - 8*m + 2 - 40*m) to b + t*m**2 + w*m**3 + h*m and give w.\nAnswer: 8802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1318308 and 6152104.\nAnswer: 18456312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -2. Suppose 4*w = -4*g + 44 + 36, -16 = -w + n*g. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*t = 442*t - 1950. What is the greatest common factor of t and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*g + 7021 = -97*g + 37 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -83*s**3 - 3*s**2 - 2*s + 5. Is a(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -8, 1\/4, -1\/3, -1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jooyjyjdjooyo. Give prob of picking 1 j and 1 y.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**7\/210 - o**3\/2 + o**2\/2 + o. Let p(u) be the first derivative of n(u). Differentiate p(l) wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194465824*m**2 + 182*m + 45963.\nAnswer: 388931648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -366*i + 362*i. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240845849?\nAnswer: 41, 389, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 1. Let q be w(17). Let z be (2\/3)\/(q\/(-24)). Let j = 512 - 509. Sort 0, j, z, 5 in increasing order.\nAnswer: z, 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 15 = -4*q + 2*n, -n = -3*q + 11. Suppose 3*g - 2*a = 2*a + 11, 2*g + a - 11 = 0. Suppose -9 = -g*p - 4. Sort p, q, -1 in decreasing order.\nAnswer: q, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nno when three letters picked without replacement from onoon.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3 - (42\/(-30) + 2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408*-72.\nAnswer: -29376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:47 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -5 + 19 + -7 - 6 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 2\/5 (c) -1\/5 (d) -0.08854 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*g + 38, -6 + 32 = 2*n - 5*g. Factor 4*m**2 + n*m**4 - 3*m**3 + m**3 - 19*m**4 - 6*m**3.\nAnswer: 4*m**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0005, 0, 0.98, -5, -0.3?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.421 + -1.579. Which is the nearest to 0.2? (a) -0.5 (b) -5\/12 (c) n (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -121. Suppose 0 = -5*f - 46 - a. Let i = -30 - f. Solve 5*o = -0*t + 5*t + 15, -i*o - 5*t = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1112*l + 36. Let a(g) = -741*g + 25. What is -13*a(n) + 9*h(n)?\nAnswer: -375*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y**2 - 27*y - 3. Let n(u) = -2*u. Give n(b(r)).\nAnswer: 18*r**2 + 54*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f - n - 25, -2*f - 24 = -3*n. Sort -4, -3, f in ascending order.\nAnswer: f, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 53*t**2 + 53*t + 140. Determine z(54).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3171 is divided by 454.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5 + 3. Let m(k) = 4*k - 1. Let b be m(x). Solve y - 2*h = -10, -22 = 4*y + 5*h - b*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -61*q. Let u(y) = 15*y. Give p(u(k)).\nAnswer: -915*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -38. Let s = -6 + m. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*s - 31, -s - 2 = n - 0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52731.8 seconds in milliseconds?\nAnswer: 52731800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o*q + 865*o + 335*q**3 + 19 wrt q?\nAnswer: 3*o + 1005*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 4) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 26*u - 725 = 0. Suppose -5*r = -2*w + 49, u = 5*w - r - 35. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-85205)\/(((-12)\/184)\/3). Suppose m + 4*z = a, -19597125 = -5*m - 0*z + 5*z. Suppose -c - m = -19219426. Round c to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 28*n + 4. Let f be q(-27). Solve -4*z - f = -3*g, -4*z = -3*g - 6*z + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most as big as -8.75273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172076*p + 168020*p - 311936*p to the form k*p + l and give k.\nAnswer: 28160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-42)*3 + -2 and -27\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 94? (a) 3 (b) 4\/27 (c) -1 (d) 9\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y + 20*y + 258 = 0. Sort -3, -14, y.\nAnswer: -14, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -5, -135 in ascending order.\nAnswer: -135, -5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(14\/(-4) + 2). Suppose -36 = 4*m - 4*p, h*m = p - 7 - 12. Suppose -9*o + 19 = -26. Sort -1, m, o.\nAnswer: m, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**0*l)*l**(-3))\/((l*l**(2\/3)\/l)\/l)**(-6) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 5. Let j(i) = -2*i**2. Let m(p) = p**2. Let n(b) = 4*j(b) + 9*m(b). Determine n(x(d)).\nAnswer: d**2 - 10*d + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by (2\/(-3))\/((-2)\/57)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485907811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 106704 (base 9) in base 16?\nAnswer: f9fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4270692077 to the nearest integer?\nAnswer: 65351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*5*12\/6. Let r = 27 - t. Suppose 0 = 3*x - 4*s - 22, -4*x - s + 35 + r = 0. Solve y + y + x = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23892\/(-21) - (-2)\/(-7))*-20. Round s to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 - (-3 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 + 2*v**2 - 3. Let p be (-6)\/((-5 + 3)\/(1 - 0)). Suppose -4*a + 27 = 3*n, 5*a - 9 = 7*a - p*n. What are the prime factors of b(a)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 346501\nAnswer: 1386004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 80674, 3 in descending order.\nAnswer: 80674, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1958384*-0.1\nAnswer: 195838.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38321 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1141, -1148, -1165, -1198, -1253?\nAnswer: -1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95917836*p**5 - 108668085*p**2?\nAnswer: 5755070160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35362098.\nAnswer: 2, 3, 1964561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 177897824 to the power of 1\/3, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74854139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*p + 80*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b - 2*b + 2*b)*(-3 + 0 + 1) + 2 - b - 2 - 2 - 2*b + 2)*(7*b**3 + 0*b**3 - b**3).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 15\/11 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwpggfp. What is prob of sequence fw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -24*j**5 + 308*j**4 + 1804*j**3 - 1748*j**2 - 340*j = 0.\nAnswer: -5, -1\/6, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2599632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1542, -0.07, 0.02, 0.3, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 69. Let v be (x\/21)\/((-2)\/3). Suppose -320000 = -v*g + 4*g. What is g rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 16. Let s(v) = v**3 - 2*v**2 - 4*v - 4. Calculate the remainder when g is divided by s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 94\/(-282) + (-37)\/(-93). Which is bigger: -33 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17242 - 431546\/25. Let j = -13437\/550 - o. Calculate the common denominator of (15\/80)\/(45\/(-1428)) and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {p: 1, k: 4, l: 10, n: 5}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 + 19*r**2 + 11*r**2 - 64*r**2.\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 35*h + 1489. What is the remainder when 414 is divided by k(-42)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, 0, 61, 6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -22*u**3 + u - 2. Let g be m(1). Let v = g + 29. Let l be (7862\/v - 1) + (-2)\/(-3). What is l rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-1 - (0 + -2)). Let a(v) be the second derivative of v**2 - 1\/20*v**z - 2*v + 0 + 5\/6*v**3 - 1\/4*v**4. Give a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005540512 to 7 dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 145 = -67. List the prime factors of s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3268774*l - 17208340 with respect to l.\nAnswer: -3268774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163742843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15096.22 + -15250. Let v = -157 - p. Let a = -16.12 - v. What is a rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -4)\/(1\/(-5)). Let z(t) = t**3 + 4*t**2 - 7*t - 5. Let d be z(i). Which is the third biggest value? (a) d (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1563, -9665, -30827, -71577, -138443, -237953, -376635?\nAnswer: -561017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hotk when four letters picked without replacement from {y: 2, n: 1, o: 1, t: 1, h: 1, k: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let x = m + 2. Let t be (x - 6)*1\/(-3). Sort 2, -5, t.\nAnswer: -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 4, 3*n = 5*r - 8. Suppose 0 = -4*o + 3*c + 51, n*o = o + 2*c + 37. Let a = o + -14. Sort a, 1, -1, -4 in decreasing order.\nAnswer: 1, -1, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1. Suppose 0 = a + 2 - 9. Let l(p) = -31*p - 93. Let d(u) = 57*u + 171. Let c(t) = -6*d(t) - 11*l(t). Determine a*h(n) - 3*c(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13691, 22176, 30663, 39152, 47643, 56136?\nAnswer: 64631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 265*q - 1587. Let j be y(6). Let m(t) be the first derivative of 4*t**2 - 12 + 4\/3*t**j + 0*t. Factor m(p).\nAnswer: 4*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/2 - (8 + -1)) + 2. Let o(i) = -9*i - 4. Determine o(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-25 - (6 + -22))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 1. Let l(z) be the first derivative of 6*z**2 + 11*z - 2. Determine 22*h(j) + 2*l(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 20*x = 54. What is the least common multiple of 3 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.41 - -13.766. Round b to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -28. Suppose 3*b - v = 2*b, -2*v + 8 = 2*b. Suppose -1 + 3 = -b*k. Sort j, k, 3 in ascending order.\nAnswer: k, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22, -0.07, 0.5, -5\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31572 - 31586. Which is the biggest value? (a) -10 (b) -0.3 (c) 1 (d) -0.05 (e) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/187, -3, 1\/6, 3\/214, 3.\nAnswer: -3, -2\/187, 3\/214, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + z**4 + z**4 - 3*z**3 + (-6*z + z + 3*z)*(-26574*z**2 + 26574*z**2 + 140*z**3) - 2*z**3 + 2*z**3 - 5*z**4.\nAnswer: -286*z**4 - 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38070 or 38072?\nAnswer: 38070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 226*w**2 - 726 + 226*w**2 - 69*w + 4*w**3.\nAnswer: 4*w**3 - 69*w - 829","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*d - 19*d - 28*d)*(-12 + 29 + 40) - 2*d + 2 - 2.\nAnswer: -1826*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2 - 42*n - 5. Let i be x(-4). Solve -i*f = 2*v + 12, 20 = f - 6*f - 2*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 - 956*a - 1055067\/2.\nAnswer: (a - 6243)*(a + 507)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37.97 in 4, -2122\/7, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -11531*o**3\/6 - 929*o**2 - 3*o - 69. What is the first derivative of z(x) wrt x?\nAnswer: -11531","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1205\/(-110) + 19 - 3\/((-3)\/(-8)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1675373376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4696)\/(-38742) + 8\/(-66).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlqulljlquljluljlljl. Give prob of sequence qju.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -866 divided by -3151\nAnswer: 866\/3151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33952 and 247.\nAnswer: 34199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 9:55 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oopoppooopppo. What is prob of picking 4 p?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 1205\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 378209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 0*q**2 - 298 + 3*q**2 + 5*q**2.\nAnswer: 7*q**2 - 298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-196)\/(-105)*(-210)\/28\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 3*n + 448 = -13*m, 5*m + 2*n = -1101. Let k be (1 - m)\/6 - -4. Solve -2*b - 28 = 5*v, -5*b - k = 5*v - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 times -0.02\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/3 + 84870668*o\/3 + 28290223 = 0.\nAnswer: -1, 84870669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)*l**(-4))**(-2\/3)\/(((l*l**(-2\/7)*l)\/l)**36*((l*l**(2\/3))\/l)**(-8\/5)) assuming l is positive.\nAnswer: l**(-6994\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/4 in 0.4, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225459869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -22*l - 3 - 2 + 25*l. Calculate the remainder when 73 is divided by t(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -f + 1352, -1225 = -3*g + 2*f + 121. Suppose 4*t + g = 9*t. Let u be (t\/8)\/(12\/64). Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 9*j + 7*j - 28, 2*m - 4*j - 30 = 0. Calculate the smallest common multiple of m and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -365953 at most -15004101\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 + 16 - 4*m**2 + 23 + 30 + 9 + 2*m**3 to the form w*m + n + u*m**3 + o*m**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 860497213?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, d: 5, s: 8}. What is prob of sequence aa?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4) - 27\/(-6). Let u(n) = 3*n**2 - 6. Let w be u(-5). Let i = 84 - w. What is the greatest common factor of i and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5487437 months to years.\nAnswer: 0.129061975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 7*v - 24. Let c(a) = -11*a**2 + 9. Let k be (-8 - (-138)\/18)\/((-6)\/(-306)). Let t(u) = -4*u**2 + 3. Give k*t(n) + v*c(n).\nAnswer: 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 - 433*m**2\/3 - 46655*m\/3 + 47089\/3.\nAnswer: -(m - 1)*(m + 217)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 91.\nAnswer: -103\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-5 + 4)) + -1 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p - 9. Let z be 1\/p - 4\/(-42). Let l = -17\/4 - -49\/12. Which is the third biggest value? (a) -5 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 15*o - 135. What is the tens digit of -4*(o\/2)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3 + 74198*w**2 - 1856252*w - 1930448 = 0?\nAnswer: -37124, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veuecshu. What is prob of picking 1 h and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -3, 144, -1, 2, -7, 1 in ascending order.\nAnswer: -7, -3, -1, 1, 2, 31, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 135*g. Let q(a) be the second derivative of 5*a**3\/6 - 154*a + 2. Determine -55*q(r) + 2*s(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 12:47 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69668 divided by -1694.\nAnswer: -34834\/847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 6*t**3 - 218038*t**2 + 1453344*t - 871992 = 0.\nAnswer: 2\/3, 6, 36333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263338, -263327, -263312, -263293, -263270, -263243, -263212?\nAnswer: -263177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111 - -110.7. Let q = -0.04684 - -0.24684. What is the third smallest value in z, q, -155?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -4)\/(2 - 4). Put -7, a, -5 in decreasing order.\nAnswer: a, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + 0*c**4 - 3*c**4 + (c**2 + c**2 - c**2)*(1 - 5 - 1)*(2 - 2 + c**2) + 263*c**4 - 71*c**4 - 105*c**4.\nAnswer: 81*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b + 1 - 3 - 39*b - 4. What is the units digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 57*y - 570. Let i be w(10). Which is bigger: 38\/93 or i?\nAnswer: 38\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10569523 is divided by 1989?\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.5754 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1075673*i. Let y(s) = 28*s. Determine y(q(g)).\nAnswer: 30118844*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2368920 is divided by 789612.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02304 * -84.\nAnswer: 1.93536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -712 divided by -117\nAnswer: 712\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*m + 4*k + 141, 4*k - 156 = 4*m. Calculate the remainder when 95 is divided by (m\/4)\/(27\/(-126)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, 0.1, 27 in increasing order.\nAnswer: 0.1, 2.5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 2*f**2. Let y be v(-2). Let r = y - -20. Solve -5*o = -25, -r*o = 5*m - m - 24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 497344176 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 66795\nAnswer: 5\/13359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148.1599 - -148.1. Round z to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-2\/3)\/(n\/(n*n**(-6)\/n)*n**2)*n*n*n**(-1\/2)*n*n*n**(-6)*n*n*n\/(n\/n**1)*n*n**1 assuming n is positive.\nAnswer: n**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(3\/14)*(o**(-2\/7)*o)**(-1\/46)*((o\/(o**1\/o))**(-50))**(11\/5) assuming o is positive.\nAnswer: o**(-17747\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 12) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 4 + (-9)\/(-6). Which is the nearest to -1? (a) q (b) -4\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 4*l**2 + l + 3. Let d be c(2). Is 12\/18 - 2665\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 81233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6319 and 5.\nAnswer: 31595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -34, 1, -5, 5, -3062, -3 in descending order.\nAnswer: 5, 2, 1, -3, -5, -34, -3062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + -116. Let f = 39 + b. Let u = f + -47. Which is smaller: -45 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:41 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -p + 3*p. Let z be p\/(-55) - (-2)\/5. What is the third smallest value in z, -1\/5, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 19*x - 20 = 0. Solve -2*h = 2*h + x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -796351524 divided by -2.\nAnswer: 398175762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2896 is divided by 353.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**4 - o - 7 - 3*o**4 - 2*o**3 - o**4 - 8*o**3 - 3*o**4 to the form i + d*o**4 + b*o + x*o**2 + h*o**3 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22151644*5.\nAnswer: 110758220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/13 - (9 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2428, 2698, 2942, 3154, 3328?\n\"Answer: -g**3 - 7*g**2 + 298*g + 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 greater than or equal to -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -66 (c) -1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncc when three letters picked without replacement from ccccncccccccnnccnccc.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 6*q + 10. Let r be g(4). Solve -5*f + r*f = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 1188, 3001, 5622, 9051?\nAnswer: 13288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 47 = 3*j - 4*j, -5*y - 4*j + 62 = 0. Solve -a = -2, 3*g + 2*a - y = -0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 753\/986?\nAnswer: 753\/986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a - 9 = -g, 2*g + 5*a - 13 = 0. Let r be (g + -9)\/(-1) - 0. Suppose r*u - 17 = 3*v - 1, -15 = -5*v. Let q(j) = -j**2 + 4*j - 4. Give q(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.561 to one dp.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 1 y when three letters picked without replacement from {h: 3, j: 1, y: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*x - 60 = -55*x. Let b be (3\/(x\/16))\/(2\/10). Suppose 178 = 9*q + b. Calculate the least common multiple of 3 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1787.999992652 + -1788. What is i rounded to 7 dps?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52738 divided by -2?\nAnswer: 26369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -28 + 21\/8*q**2 - 5\/4*q**3 + 3\/16*q**4 - 9\/4*q. Factor l(f).\nAnswer: 3*(f - 3)*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (-21 - (73 + -26)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*j**2*m + 267*j**2 - 11*j*m**3 wrt m?\nAnswer: 10*j**2 - 33*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a microgram in nanograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 7)*(2*d**4 + 0*d**4 + 0*d**4) + (-4*d + 0 + 0)*(2*d**2 - 2*d**2 - 2*d**2)*(4 - 4 + 10*d) to n + a*d**4 + g*d**2 + z*d**3 + h*d and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -5*r + 3 - 12, -5*w + 24 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 26*x - 7 = -b, x = -5*b + 2. Solve 0 = 4*a + 2*f + 18, -5*f + b + 4 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 844498*v**5 + 22*v**3*z**2 - 156605*v**2*z**2 + 21*v**2*z wrt v.\nAnswer: 50669880*v**2 + 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in 28, 0.5, 4, -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let q = 76 - 76. Suppose q = -2*y - l - 8. Sort y, 0.4, -6\/7 in decreasing order.\nAnswer: 0.4, -6\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788246143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 + a**5 - 2*a**5 + (-2*a**3 + 2 - 4*a**3 + 5*a**3)*(1 - 1 + 2*a**2) + a**4 + a**5 - a**4 + (-362 - 21*a + 362)*(-59*a**4 + 112*a**4 - 62*a**4).\nAnswer: 187*a**5 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 5*c**3\/6 + 9*c**2 + 3*c + 16. Let l be u(-3). Solve 4*x = l*s - 16, 5*s - 3*x = x + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -20, -2\/5, -5 in ascending order.\nAnswer: -20, -5, -3, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24236, 63562, 117978, 187484?\n\"Answer: 7545*y**2 + 16691*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 0.4, -3, -0.5967?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k + 2. Let j be o(0). Let r(y) = 2*y**2 - y. Let a(d) = -4*d**2 + 2*d. Let w(u) = j*a(u) + 5*r(u). Let h be w(1). Is h at least 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + z - 2. Calculate the smallest common multiple of v(2) and 2*-2*(-21)\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9*m**2 + 14*m**2 + 33*m**2)*(5*m**3 + 0*m**3 - 3*m**3) + (9695*m - 9695*m + 138*m**5)*(-3 - 3 + 4))*(-3 + 4 + 0).\nAnswer: -200*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32 + -32)*3\/(-15)*1. Solve 1 = -p, w*p = -2*r + 2*p + 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283780 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l**4\/5 + 164*l**3\/5 + 2*l**2\/5 - 172*l = 0. What is l?\nAnswer: -2, 0, 43\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*k + 2*k + 16 = 0, 4*t - k = -8. Let s = -5 - t. Which is the closest to -1\/3? (a) 0.3 (b) -1\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 1. Let u(w) = -7*w - 3. Let r(x) = 2*b(x) - u(x). Let a be r(1). Let d(t) = -17*t - 4. Let n be d(a). What is n rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*v + 5 - 1 = 0, 2*t + 5*v + 5 = 0. Suppose 12 = -3*m - m, 4*k - 5*m - 51 = t. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 5\/(20\/(-8)). Suppose 0*n + n - 5 = q. Solve 0 = -y + n*d - 0*d - 15, -5*y + 5*d - 35 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b, -u + 2*b - 30 = -6*u. Let g be (u\/40)\/((-21)\/(-14)). What is the closest to -2\/3 in -1, 0, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 70 = 3*x - 0, -5*x + 102 = 3*p. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1822445410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 6*c + 12. Give s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707019.\nAnswer: 3, 235673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24053.323 - -0.05.\nAnswer: -24053.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -14 + 26. Let m be 0 - (-11)\/110*(1 - l). What is the third biggest value in m, -2\/13, 1\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7104 - -7112. Solve -5*n = -2*y + 19, -5 = 5*n + y + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 967*v**2 - 1943*v**2 + 978*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let c(v) = v**2 + v - 3. Let z be c(-3). Let y be f(z). What is the remainder when ((-78)\/(-9))\/(y\/(-6)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 31. Let a be -2*h\/21 + 4\/14. Let c = -13 - -9. Sort a, 3, c in ascending order.\nAnswer: c, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 - 6*i**2 + 15*i\/4 + 21\/2.\nAnswer: 3*(i - 7)*(i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 13) in base 14?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**3)\/(c**(-6)\/c)*c**(-5)\/c*c**(3\/4))\/(((c*c**(-2\/11)*c)\/c)\/c**(1\/4)*(c**(-1\/3))**(16\/5)) assuming c is positive.\nAnswer: c**(41\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2850986.2 rounded to the nearest ten thousand?\nAnswer: -2850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asssasalasl. What is prob of picking 2 a and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112.05 - 0.05. Let r = 109 - o. Which is the second smallest value? (a) 4 (b) r (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 + 107\/(-5). Is (3\/(-9))\/1*b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6746*s**3 - 14719*s**3 + 0 + 3335*s**3 + 0.\nAnswer: -18130*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45339*b*f + 2173*b + 59032753*f wrt b.\nAnswer: -45339*f + 2173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5633*u**3 - 5629*u**3 - 5631*u**3 + 16899*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 3*h = 10*n + 33, 14*n - 3*h - 16 = 18*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 + t**2 + 2*t. Let s be p(-1). Which is the closest to -2? (a) 4 (b) s (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 6) to base 16\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -3*a - 3*d, -182 = 13*a - 14*a + 5*d. What is the remainder when a is divided by 75?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 4*k**2 - 4*k - 1. Let p(u) = -u**2 + u. Suppose 5 = -4*l - l. Let w be (5 + -2)\/3 + -3. Let n be -3 - (3 + w\/1). Determine l*q(j) + n*p(j).\nAnswer: -j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 441722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2549 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Let g = n - -0.4. Let j = 8 - 8.3. Put -4, g, j in decreasing order.\nAnswer: g, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128785000 rounded to the nearest one hundred thousand?\nAnswer: 128800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32323020 (base 6) in base 8?\nAnswer: 3522324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8369*b*m**2 - 66*b*m + 35*b wrt m.\nAnswer: 16738*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408347*o**5 + 2*o**4 - 11*o**2 + 2060117*o?\nAnswer: -8166940*o**3 + 24*o**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 358869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 566888269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:01 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4 - 5, 2*s - 21 = -3*k. Let o(v) = k*v - 1 + 3*v - 5*v. Let t(i) = -5*i + 2. Determine -7*o(z) - 4*t(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -92840, -92836, -92830, -92822?\n\"Answer: h**2 + h - 92842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18111001\/24 or 754626?\nAnswer: 754626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146746 + -79.\nAnswer: -146825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382241.\nAnswer: 382241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 54818 - 54733 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13462*m**2 - 27921.\nAnswer: 26924*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:03 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1838*g**3 + 27*g**2 + 3*g - 769. Let s(k) = -3676*k**3 + 45*k**2 + 5*k - 1537. Let r(a) = -3*s(a) + 5*x(a). Differentiate r(l) wrt l.\nAnswer: 5514*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - t)*(-25*t**2 - 84*t + 84*t) - 271*t + 137*t + 92*t**3 + 136*t.\nAnswer: 117*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-22)\/(-99))\/(-2 - (-38)\/18). Let i = g - -6. Solve -a = a - i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*1*sqrt(448) - sqrt(21)\/(sqrt(12)\/sqrt(4)*-5 - sqrt(3)))*-2.\nAnswer: -47*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s**2 - 13*s - 670. Calculate v(0).\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 2*b - 5. Let s be j(-2). Let g(t) = -3*t**2 + 80*t**s - 5*t - 40*t**3 + 6 + 16*t - 41*t**3. Does 6 divide g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 16. Give a(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*12\/8*2*((-760)\/15)\/19.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 66*b - 290. Give s(7).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 1. Let q(n) = n**2 - 3*n. Let o be q(4). Suppose 0 = -x + t + 7, o*t + t = -2*x - 21. Give y(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/14*(132\/(-30) + 4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 4*n - 67 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1200*x - 4458 - 3250 = 3092 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 27 (b) 0.025 (c) -12688 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 y when four letters picked without replacement from yyvrvryrrvrryvr.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/153 and 71\/357.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2315 = -3*s + 4*x, 0*x + 3074 = 4*s + x. Is (1 + -4 - -4)\/(1\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5793 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -b + 5*w, 3*w = 5*b + 20 - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 2 + 0*v - 1317*v**3 - 1542*v**3 + 3 as o*v + l*v**3 + f + i*v**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**8\/24 + 13*a**4\/24 - 2*a**2. What is the second derivative of y(d) wrt d?\nAnswer: -280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 458*p**3 - 61829*p**2 - 120*p - 2030. Determine d(135).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 272130356 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (2 - 1 - -5 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -578 + 938. Suppose 7*b - 2*b - z = 0. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*m = 6, 5 = y - 0*y + 2*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2960 = -72*a + 80*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.91999605412.\nAnswer: -0.81999605412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 73614657?\nAnswer: 5\/73614657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 4. Let x be 7\/42 + (-500)\/(-24). Let r(c) = -x*c + 1 - 24*c + 68*c - 22*c. What is j(o) - 6*r(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 78090900?\nAnswer: 78090900.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 47*l**4\/24 - 11*l**3\/2 - 27*l**2. Differentiate c(w) wrt w.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o. Let m(h) = 72*h + 278598. Calculate v(m(r)).\nAnswer: -144*r - 557196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-50)\/(-20) + 7\/2). Let f be 2\/4 - (-30)\/4. Calculate the highest common factor of i and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 348*u**2 + 336*u - 688.\nAnswer: 4*(u - 1)*(u + 2)*(u + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10428, -1, 131, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idrigieegiriiigrvii. What is prob of sequence ev?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3052*l - 11743. What is the thousands digit of h(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 - -493. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/15 and 77\/1534971.\nAnswer: 7674855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, e: 1, i: 4, w: 3}. What is prob of sequence ebw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 67.6. Let p = j - 1.4. Let y = -0.2 + 5.2. What is the second smallest value in p, y, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + ((sqrt(200) + 1)*-1)**2 + ((sqrt(200) + ((sqrt(200) - (1 + sqrt(200)))*-6 - sqrt(200)))*-6)**2.\nAnswer: 20*sqrt(2) + 1491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 527 + -278. Suppose -64*d - 106 + 369 = -441. What is the remainder when j is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(19)*-2 - (-5 + 1 + sqrt(19))) + ((sqrt(76) + sqrt(76)*-2)*3)\/sqrt(4).\nAnswer: -16*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/(-1)) + (-205)\/(-738)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-3) - (-5)\/(-15). Suppose i = 4*o + 20, -19 = l + o. Let p = 0 - l. Solve -p = 3*j, -3*v - j = 3*j + 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5767167 + 77?\nAnswer: 5767266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -30*f**2 + 109*f + 34. Calculate r(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-63)*(-29)\/435\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1418\/(3\/(-42)*4*-7). Suppose -8*q + 3*q + w = 4*j, 3*j - 708 = -5*q. What is the greatest common factor of 47 and q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -221.\nAnswer: 5\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -328465, -1312619, -2952875, -5249233, -8201693, -11810255?\n\"Answer: -328051*q**2 - q - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 19*n + 2. Let c(s) = 57*s + 6. Let m = 7453 - 7464. Determine m*j(w) + 4*c(w).\nAnswer: 19*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*t - 226*t - 35 = 0. Let v(l) = 5*l**3 + 2*l**2 - 13*l - 2. Let k(i) = -i**3 + i**2 + i. Let g(s) = 4*k(s) + v(s). What is g(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:18 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**23*((s**(-4\/17)*s)\/s)\/s*s*s**(-2\/11)*s\/(s**17*s) assuming s is positive.\nAnswer: s**(-7371\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let f(y) be the third derivative of 7*y**5\/60 + 6*y**2. Calculate f(w(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 15730?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**2 - 97270*h + 1655035 = 0?\nAnswer: -19471, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 15*y - 6 - 1 + 9*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2815257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/5)\/g*g)\/g*(g\/(g*g\/g**(-4)*g*g*g*g))\/g*g**(-2\/5)\/g**(-3\/5))**(-26))**(-7) assuming g is positive.\nAnswer: g**(-2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7126\/3 - -2378. Which is the nearest to -1? (a) y (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*b*c*d**3 + 29*b*c*d - b*d**2 - 3*c*d**2 - c*d + 2*d**3 wrt b.\nAnswer: 15*c*d**3 + 29*c*d - d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 13 = 22. Solve 0 = m - g + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - 2. Let a = t - -0.8. Let j = 15 + -10. Which is bigger: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 19. Suppose -s - 2*j = -0*j, x*s = -j. What are the prime factors of (-4)\/(-1) - (s - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/12*18\/15. Suppose 2*u - 1 = p. Which is bigger: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 8:26 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 53234*0.0247\nAnswer: 1314.8798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j + 4*h + 168 = 0, 5*j + 5*h = 240. Calculate the remainder when 125 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/330)\/(1\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275760 divided by 240.\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4825, -9688, -14611, -19624, -24757, -30040, -35503?\n\"Answer: -5*w**3 - 4828*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -1, -0.4 in descending order.\nAnswer: 3, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117620 rounded to the nearest 1000?\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*d + 2 + (4 + 2 - 5)*(-3 + 1 + 0)*(-1447 + 1063 + 785)*(-1 + 1 + d) to the form p*d + j and give p.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 713 - 712.5. Put -8, 0.4, l in descending order.\nAnswer: l, 0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-340)\/112 - -1) + 8\/28. What is the smallest value in g, 0.2, -3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*o + 47, -5*s - 38 = 2*o - 4*o. Suppose 0 = -6*j + 9*j - o. Suppose 0 = -j*u - 2 + 8. Solve -u*f = -4*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10*z + 1164 = -3*z. What is the greatest common factor of 194 and z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = -4*q + 5*q, q + 5 = 4*c. Suppose -8*l = -12*l - 36. Put q, l, -4 in ascending order.\nAnswer: l, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4450465 (base 8) in base 11?\nAnswer: 74a9a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2\/43))\/b)**(1\/9))**(-45) assuming b is positive.\nAnswer: b**(10\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/((-2)\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -781415024*s - 480824223?\nAnswer: -781415024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 5*r**2 - r + 3. Let g(o) = o**3 - o**2 - o - 1. Let v(p) = -2*g(p) - s(p). Let v(z) = 0. What is z?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 325 + -328. Which is the nearest to -5\/7? (a) j (b) -3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13\/q)**24*q\/q**(-2)*q\/(q\/(q**(2\/9)\/q)) assuming q is positive.\nAnswer: q**(2612\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-144)\/(-8))\/3 + -8. Let h(d) = -19*d + 5*d - 3 + 8. What is the units digit of h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.8 - -0.8. Suppose -f + 1 = -4*j, 0 = 3*j - 4*f + 7*f - 18. Let b be (-7 - -4)*1*j. What is the third smallest value in b, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/84)\/((-1800)\/1050))\/((-20)\/8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 6*g - 67. Let m be k(6). Solve -4*f = -m*l - 0*f + 28, 3*f = 3*l - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 9734636.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from ymwoymyofoomffi.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12832 is divided by 262.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1461945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -6?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30 + -7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -62 - (-6 + 42) - -107.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*i + 3, 0 = -o - i - 4*i + 19. Let g = 12 + -8. Suppose -3*r + g*m + 4 = 0, -2*m + o + 15 = 5*r. Solve 3*l - l = r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05779 equal to 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -13 + 3 + (-3 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/480 and -13\/25680.\nAnswer: 51360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/2))**(-3\/5))**(-43)*(w**(-11)*w\/w**7)**(-49) assuming w is positive.\nAnswer: w**(8717\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4751296 to the power of 1\/2, to the nearest integer?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2345 and -39\/20.\nAnswer: 9380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211 - 187. Suppose -75*x + 495 = c*x. Let y(z) be the second derivative of z**4\/12 - z**3\/2 - 3*z**2\/2 - z. Calculate y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 - 184. Let s(l) = l**2 - 7*l - 6. Determine s(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -33. Suppose -14*x + 26 = -a. Suppose -y = 4*g - 45, x*g + 3*y + 2 = 17. What is the highest common factor of 60 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -78. What is the smallest value in -1\/4, w, 0.3, 2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - 1\/(-9). Let k = -4.693 - -4.593. Which is the smallest value? (a) 0.2 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 5. Let m be r(-8). Suppose -l = 2*l - m. Suppose -3 - l = -p. Solve z - 6*z - 2*n - 13 = 0, -n - 8 = p*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77326 is divided by 2204?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (4 - (63 + -39)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4 = -0*u. Let v be -254*((108\/(-8))\/9)\/45. Let l = -44\/5 + v. What is the second biggest value in l, 0, u, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + (-1 - (1 - -1)) - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*-3*(-1)\/(-2). Suppose 5*l = 15, l = -s*c - l + 66. What is the greatest common factor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3902 divided by -322625?\nAnswer: -3902\/322625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.823001 to one dp.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 1:48 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r + 15*r + 37. Suppose -m = -3*c - 19, 4*c = 3*m - 0*m - r. Solve -p = 2*k - 4*k + m, 5*p - 2*k + 27 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + n + 3)*(-33 + 11 + 13)*((-1 + 4 + 0)*(-4*n + 3*n + 2*n) + 0*n + n - 2*n + 4*n + 0*n + 2*n).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60336*y**2 + 28874 wrt y.\nAnswer: -120672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1066.07 times -1.1\nAnswer: 1172.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -154, -228?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*j + 3815 = -3569 - 2460 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k = 15. Suppose k*b - 2*o + 0*o = 71, 0 = -4*b - 2*o + 64. Let q be ((-9)\/1)\/(b\/350). Round q to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 28948, -1, -131.\nAnswer: -131, -1, 0, 2, 28948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Let g = -3 + 2.8. Which is the nearest to 2\/7? (a) g (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -453299?\nAnswer: 5892887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**2 - 1. Let x = -62 - -63. Let j be u(x). Is j at most 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3647, 4, 6, 111.\nAnswer: -3647, 4, 6, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 279140736384 and -0.18.\nAnswer: 279140736383.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 64*y**2 - 22*y + 149. Let w be f(36). Sort 2, 1, w in ascending order.\nAnswer: 1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004392 to six decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 251 in 0.5, 0, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08073 - 0.18073. What is the closest to -179.1 in v, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f. Let w(g) = -g. Let h be (-3 - -2)*(-24)\/(-2). Let y = h - -18. Let b(l) = y*j(l) + 17*w(l). Let q(x) = -x. Calculate b(q(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2265, -4493, -6721, -8949, -11177, -13405?\nAnswer: -15633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 936 - 932. Let b(z) be the second derivative of y*z**3 + 0*z**4 + 0 - 31\/30*z**6 + 0*z**2 + 14*z + 0*z**5. Find the second derivative of b(p) wrt p.\nAnswer: -372*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24322996 plus 0.145?\nAnswer: -24322995.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*m + 38. Let j(n) = n**2 + n - 4. Let o be j(m). Solve -o*d - 4 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.912 and -4712.22276.\nAnswer: -4699.31076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -470, -1004, -2054, -3794, -6398, -10040, -14894?\nAnswer: -21134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 22279.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 25*p + 27. Let l be q(13). Let z = l + 3. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/63)\/((-1)\/(-7)*-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6292 + -6343.6. Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 43 - 35 + 67*z**2.\nAnswer: 67*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14360 a factor of 63356320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v + 14. Let c(s) = -4*s + 5. Suppose 0*f - 16 = 2*f. Let y(r) = f*c(r) + 3*h(r). Let n(d) = -135 + 135 + d. Calculate -2*n(w) - y(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.765674g?\nAnswer: 0.000765674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 49 + 249. Suppose 3*f - 2*l + u = 8*f, -l - 5 = 0. Let n be 2 + -1 - 18\/f. Which is the second smallest value? (a) n (b) 4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4651 - -164404?\nAnswer: 156423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372 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: Collect the terms in 1831*k**2 + 6*k - 640*k**2 - 6*k - 1095*k**2.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/378 and -1\/12?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -29*n. Let i(g) = g**2 + 871*g. Give i(u(p)).\nAnswer: 841*p**2 - 25259*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -126b - -b5?\nAnswer: -11b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 13 = 3*h. Suppose h = -s + v + 46, 0 = 5*v. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 63*m - 68. Let i(d) = -183*d + 202. What is -6*i(r) - 17*p(r)?\nAnswer: 27*r - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-6))\/(335\/201).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -0.3. Let w = 22919.7 + -22920. Which is the second biggest value? (a) i (b) -10 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321110693 to the power of 1\/3, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - 62205\/(-2262)*((-36)\/115)\/(-3)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24084 - -37962. Does 54 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401759 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 23*y - 177 + 19*y + 146 + y**3 to t*y**2 + l*y**3 + w + c*y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*o**2 - 4*o**3 - 713*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.519507 years to centuries.\nAnswer: 0.07519507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5 - (7 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m + 24 = -42 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44523 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 - 50*r**3 - 125*r**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from tiyiitytityi?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*r**2 + 715*r**2 - 175*r**2 - 184*r**2 - 174*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 16*c**2. Let j(b) = -30*b. What is r(j(s))?\nAnswer: 14400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 4*i - 4. Let w(g) = -25*g + 93*g - 21*g + 1 - 15*g - 33*g. What is 2*l(m) + 9*w(m)?\nAnswer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3014*r - 6024. Let o be j(2). Let n = -2 - -2. Put o, n, 11 in descending order.\nAnswer: 11, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n - 42. What is the smallest common multiple of m(-8) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 12:56 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -247, 3, -101 in increasing order.\nAnswer: -247, -101, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/8 + 1)\/((-2)\/28). Suppose -2*o = -5*r - 57, 67 - 7 = -5*r + 5*o. Let a = d - r. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/3*(-1232)\/336\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872525882?\nAnswer: 2, 431, 541, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12014 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:24 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5 - 3*d - 4 + 3. Suppose 0 = b + 5 - 1. What is the units digit of n(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10+-676\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 23*n = 40 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8965604 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 524 - 528. Let w = 0.66 - 0.76. Sort m, -12, 0.1, w in ascending order.\nAnswer: -12, m, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095922369 + 1.4?\nAnswer: 1.304077631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-156) - 13\/(-6))*(-3198)\/104.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 921*f - 1871. Calculate u(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*((0 + (sqrt(2736) + -1 - sqrt(2736)))*5 + -1*(0 + sqrt(2736)) + 5)**2.\nAnswer: 8203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.763?\nAnswer: -3.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 0*b + 0*b)*(-5 + 2 + 5) + (-2 - 7 - 1)*(-b**3 - 4*b + 1742*b**2 - 1747*b**2 - 6*b**3).\nAnswer: 68*b**3 + 50*b**2 + 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, a: 7, g: 4}. Give prob of picking 1 n and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 571 - 546 = s, -41 = 3*l - 2*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(4\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 10*z**2 - 11*z - 12. Let a be y(11). Let b = a - -19. Suppose -11*n + b*n = -92. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*((c*c**(3\/5)*c)\/c)\/c))\/c**(1\/14))\/(c\/c**(2\/9)*c*c*c*c\/(c**(-2\/5)*c)) assuming c is positive.\nAnswer: c**(-611\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1652, 3302, 4954, 6608, 8264?\nAnswer: 9922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 200\/11 + (-6)\/33. Suppose 5 + 1 = 2*p + t, t = 4*p - o. Solve -2*w + k = -1, 0 = -w + k - 1 + p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 13*w + 16. Suppose 5*r - r = -3*b + 142, 130 = 3*b + r. Suppose -5*p + 2*p = b. Let c be n(p). Solve d - 2*d - c = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 48. Let u be v(23). Let z(y) = -8*y**3 - 5*y**2 - y - 5. Let d(b) = -2*b**3 - b**2 - 1. Let q(t) = -9*d(t) + 2*z(t). Determine q(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*w*w**1)\/w)\/w)*w*w**0*w)\/(w*w*w\/(w**(2\/7)*w)*w*w\/w**10) assuming w is positive.\nAnswer: w**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 q when three letters picked without replacement from {q: 2, p: 1, x: 1, a: 1, k: 2, y: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 - 8. Suppose -3 = -0*l - l. Let n(p) = p**2 + 704*p - 704*p - p**3. Let t(b) = l*n(b) - y(b). Differentiate t(c) with respect to c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19219180*z + 19452351?\nAnswer: -19219180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96.1 + 4. What is p rounded to 0 decimal places?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/1297 and -26\/6485.\nAnswer: 6485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38)\/10 + 4 + (-2508)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*3\/(-12) + (-35)\/(-140)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -148*n**2 + 1. Let x(l) = -7*l**2 + 1. Let g(s) = -c(s) - 2*x(s). Let y(u) = -8*u. Calculate y(g(i)).\nAnswer: -1296*i**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:47 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*u + 623, -3*u = 4*d - 5*u - 498. Suppose -79*h + 55*h = -1008. What is the remainder when d is divided by h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewoooewoweowoo. Give prob of sequence ooee.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -6, -13 in descending order.\nAnswer: 7, -3, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**2 - 543*d + 5130 = 0.\nAnswer: 10, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10975 - 10970. Solve 0*r - w*d = -3*r + 10, 2*r - d = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(7\/((-98203)\/42088) - (-2 + -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 174999762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 680 = -3*h. Suppose 0 = u + 3*n - 2*n - 34, 4*u - h = -5*n. Calculate the greatest common divisor of 51 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1393 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1357*y**2 + 45938*y - 45938*y + 1257*y**2 to the form s*y + q*y**2 + g and give q.\nAnswer: 2614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**3 - 21*o**2 + 6*o. What is the hundreds digit of m(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001268 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*l - 2. Suppose -n = -l*n + 28. Solve i = 5*f + 9 + 1, n*i = 4*f - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 16*h**2 + 54*h - 11. Calculate z(12).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21203055 - -1?\nAnswer: -21203054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.3 - 74.3. Let d = -90 - c. Is -0.2 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1*(-1)\/(-1)). Let c be i\/(-5) - (-1582)\/(-10). Is 2*2\/((-8)\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p**4 + 12*p**2 - 12*p**2 - 2*p**4 - p**4 + p**4 + (-p**4 + 0*p**4 + 0*p**4)*(-3 + 3 - 1) + p**4 + 3*p**4 - 5*p**4.\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - m - 17 = 1, -2*i - 8*m - 200 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5*n + 3. Give i(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/9)*u*(((u\/(u\/(u\/(u\/(u*u**(1\/2))))))\/u)\/u)\/u)**33 assuming u is positive.\nAnswer: u**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 0.01, -10, 35, -0.4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10659 - 4439. List the prime factors of q.\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -5*t - 0*t. Let p be (2 + t)*2\/4. Let y be (-10)\/(-25) + p\/(-5). Solve -q = y*k - 8*k - 5, 0 = -5*q + 5*k + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 46 + 49 + 3*o - 95. Let t(a) be the third derivative of -19*a**4\/24 - 93*a**2. Calculate t(j(r)).\nAnswer: -57*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-1) - 1)*1. Let w = -24 - -29. Solve -y + w = x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 5*r - 3. Let g be c(-6). Suppose 2*a - g*a = -2. Suppose -19 + 4 = -a*z + l, z - 5*l = 12. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 72, 2\/9, -5\/18, 0.3?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 444760, 94, 1.\nAnswer: 1, 94, 444760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57447670?\nAnswer: 2, 5, 7, 820681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:03 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 9*y - 11*y = 23*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17180.\nAnswer: 2, 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 414 and 29853?\nAnswer: 1373238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {c: 1, a: 6, x: 3, d: 2, k: 2}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3937694314 and 7.\nAnswer: 3937694321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(1\/4))**(1\/3)*((y\/y**5)\/y**(-1))\/(y*y**0\/y)**(-1\/38) assuming y is positive.\nAnswer: y**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzz when three letters picked without replacement from {d: 4, z: 3, b: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f - 56 = -3*n, -4*n + 78 = -3*f. Let r be (1*-1)\/(70\/n - 4). Let i be (1032\/18)\/(-1 - (-10)\/r). Round i to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-205*u - 801*u - 305*u)*(5*u - 2*u - 7*u)*(0*u - 4*u + 5*u) to the form h*u**2 + p + x*u**3 + k*u and give x.\nAnswer: 5244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3241)\/(-77) - 2\/22. Suppose 1420 = -37*m + o*m. Suppose -3*q + 704 = -4*k, 0 = -4*q - 3*k + 1206 - m. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 7 + 31. Let f = -2 + a. What is the smallest common multiple of 4 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441 (base 6) in base 11?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 6) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0245 + 0.9755. What is the third smallest value in 0.1, -85, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1516089809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/10 and 46\/16413765?\nAnswer: 32827530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 21*u + 9\/4*u**4 + 77 + 0*u**3 + 1\/2*u**2. Differentiate v(l) wrt l.\nAnswer: 27*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 + 7*k - 6. Let g be y(5). Suppose 0 = -4*t, -g*t = -a + t - 7. Is a smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiidiiiiiiii. What is prob of picking 3 i and 1 d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 9 - 33. Find the third derivative of t**2 - 3*t**6 + 8*t**6 - h*t**2 wrt t.\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 3 - 16 - 5 + 7 + 11*h**2.\nAnswer: 11*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -255, 19, 0 in ascending order.\nAnswer: -255, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s - 4. Let g(i) = 7*i - 3. Let j(m) = -3*g(m) + 2*n(m). List the prime factors of j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 10:44 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 25.459?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/((-882)\/2677675) + (-8)\/(-36)?\nAnswer: 19, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2167 - -1161. What is the least common multiple of 20 and z?\nAnswer: 16640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636 and 1068?\nAnswer: 56604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3294 divided by -549?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u - 3*u - 18*u - 7*u.\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -264? (a) -139 (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p - 13. What is i(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4098 - -7211. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*o, 2*o - 2*r + 13 = -3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 188276 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/20 - v**4\/6 + v**3 + 128*v**2. Let l(h) = -16*h**2 + 21*h - 31. Let q(t) = -11*g(t) - 2*l(t). What is q(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84.9 - -84. Let g = -0.93 - y. Which is the closest to -0.1? (a) -2\/9 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1185448?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7936801.\nAnswer: 7936801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**3)\/q**(1\/3))\/((q*q*q\/(q\/q**6)*q)\/(q*(q**(-2\/11)\/q)\/q)))**(4\/7))**(-16\/5) assuming q is positive.\nAnswer: q**(3776\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1591 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1276.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 k, and 1 n when three letters picked without replacement from {k: 2, x: 1, y: 3, n: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 16 = 0. Let l(g) = 3*g**2 - 12*g**2 + 9*g**2 + g - g**3 + 8*g**2 - 6. Let a be l(h). Solve 4 = a*i, -3*c + 1 = -5*i + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10340.\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1248944 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0482 + -0.064. Round z to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)\/g**(1\/3))\/((g\/g**(1\/2))\/(g*g\/(g*g\/(g\/g**(-12))))) assuming g is positive.\nAnswer: g**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16389539*f + 208239817 wrt f?\nAnswer: 16389539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -4)\/(7\/(-7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -4, -16 in descending order.\nAnswer: 4, 3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*v - 36*v - 649. Solve 5*z - v = -74 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3\/2 in increasing order.\nAnswer: 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-1\/4)*p*p)**7)**(-15))**39)**1 assuming p is positive.\nAnswer: p**(-28665\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 1:36 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.089, 2\/23, -5\/3, -3, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 - 2*g**2 + 4*g**2 + (6 - 72 + 1)*(31 - 117 - 14)*(g**2 + g**2 - 3*g**2) to q*g**2 + x + y*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmmwwmwmw. Give prob of sequence mmw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, -0.4, 28057?\nAnswer: 28057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.9 + -10. Let o = 5684 + -5685.1012. Let b = o - d. What is b rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/18 and -53\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*s + p - 24, -5*p - 19 = 3*s. Let i = -0.1 - 0.9. What is the second biggest value in i, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let d = 6 + -8. Let m be ((-4)\/88)\/(d\/(-4)). Are m and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 - 4 - 2*g**2 + 3*g**2 + 2 in the form n + z*g + h*g**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -3 (c) 1463 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 95*j**2 + 97*j**2 - 2 - 194*j**2 to b*j + g + t*j**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140437 = -4885*r + 148067 - 68679 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923024.\nAnswer: 2, 57689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.89 + 5.79. What is the closest to u in 2\/9, -26, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 147 + i**2 - 55 - 90 - 5*i. What is n(8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197218448 - -94746?\nAnswer: -197123702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1784000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 - 5*g**2 + 4*g - 2. Let k(y) = y**3 - y**2 + y - 1. Let j(n) = f(n) - 4*k(n). Let t(h) = h**3 + h**2 - 1. Determine -4*j(r) - 6*t(r).\nAnswer: 2*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(5)*-2 + (0 + sqrt(180) - sqrt(180))**2 + -5 + (sqrt(20)\/sqrt(64) - (-2*sqrt(80))**2).\nAnswer: -328 - 7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15677900 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 36106*d + 901724. Determine u(-25).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -4, -10, -223, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618 divided by 2.\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - r - r = -50644, 4*r = 5*o - 63292. Let b be (-1367850)\/(-48)*(-8)\/(-18). Let m = b - o. What is the common denominator of m and 43\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020248 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 7)*(-1 + 2 - 2) - 2189 + 5825 - 2372)*(k + 3*k - 2*k)*(2*k - 1 + 1 + (-4 + 4 + 1)*(0*k + 4*k - 2*k)).\nAnswer: 10072*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -627.7267 rounded to the nearest integer?\nAnswer: -628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 215709139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 108 = 24. Suppose -80 = -v*w + 28*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7930929408 rounded to the nearest 100000?\nAnswer: -7930900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022592 to 4 dps.\nAnswer: -0.0226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9066530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8584502um in meters?\nAnswer: 0.0000008584502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -130*x + 102. Let v(h) = -52*h + 41. Let u(f) = -12*v(f) + 5*z(f). Let m be u(-2). Calculate the highest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27*2\/24*2)\/(((-1152)\/(-12))\/(-1152)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - l**3 - 9*l**3 + (-2*l + 0*l + 0*l)*(425*l**2 - 2*l - 10*l - 427*l**2).\nAnswer: -3*l**3 + 24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 19 = y + y, 4*y = -5*f + 37. Suppose 0 = -y*m - 0 + 12. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*b - 279233 + 73911. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 5.58\nAnswer: 2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*o + 2*t, 0 = -5*t - 12 - 13. Let c(w) = -113*w**3 + w**2 + w. Is c(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-25)*(-1540)\/(-1782).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -1. Let p = 0.17 + 2.03. Let y = -0.8 - p. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 95*j - 32879. Determine z(140).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g - 23. Let b = 34 - 43. Let s be a(b). Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.18 (b) -0.252 (c) 1 (d) 1\/10 (e) 0.2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3232014012 (base 5) to base 14.\nAnswer: -cbb3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1\/5)\/((-150)\/125).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*n - 362*n + 4*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109816 - -109816.138114. Let m = p - 0.138. Round m to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 400 + -399.999999762. What is r rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -47. Let s = 68 + -54. Calculate the remainder when s is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1204514130 (base 6) to base 9\nAnswer: 27636330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/426 and 23\/497?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/22)\/(52\/286)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12033729 and 1478180?\nAnswer: 6719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from orvbrobrovoo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) -3 (b) -592 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(1 - 1 - 2*r)*(2*r + 0*r - r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 22*r**2 + 18*r - 31. Does 43 divide s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.17980676 to 4 dps.\nAnswer: -3.1798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*d*l*u + 810*d + 28*l*u + 4*l - 2*u with respect to u.\nAnswer: -19*d*l + 28*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v - 4. Suppose 7*t + 2 = 9*t. Let q = t + -5. What is the units digit of g(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 793592056*c**2 - 694731*c - 47.\nAnswer: 1587184112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 60, 115?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 = 15. Calculate the remainder when 11 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 50*s + 20*s - 294 = 0. Which is the third smallest value? (a) 1\/2 (b) -0.03 (c) 0.09 (d) s (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-4\/9))\/m**4)\/(m\/(m*m**0))**(-2\/9))\/((m**(2\/3))**(25\/3))**(-2) assuming m is positive.\nAnswer: m**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 19*n - 14*n. Suppose -n*a - 6 = -a. Let y(i) = 3*i**2 - 1. Give y(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (10 + -8 - (-2 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.6 times -57345?\nAnswer: -2901657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 35 = 3*r, -3*p - 19 = 2*r - 2. List the prime factors of 1\/5 - (-1)\/(r\/(-798)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 872, 863, 852, 839, 824, 807, 788?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 - -0.19. Let f = j - 0.7. Which is the biggest value? (a) -7\/2 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)\/(a\/(a**(1\/5)\/a)))**45*((a**(-2\/7)*a)**(-48))**(-5\/7) assuming a is positive.\nAnswer: a**(-12153\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 5, -1, 2\/9 in descending order.\nAnswer: 45, 5, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 + -5 + 182. Let m = g + -179. Solve -3*i + 5*c + 14 = 0, -2*i = -4*c - 12 - m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -937 + 100462?\nAnswer: aa626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 9757264?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004221619 rounded to 6 decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-2 - 1 - -5). Let l = 10 - g. Let p(n) = -15*n - n**l + 0 - 1 + 6*n - 2. What is p(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llklllklkll. What is prob of sequence lkk?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -222*y - 83. What is the remainder when j(-1) is divided by 112?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-61)\/(-7) - 4\/(-14). Let p = -4 + g. Calculate the remainder when p is divided by (-1421)\/(-493) + ((-6)\/51)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 16*v + 52. Suppose 7*h - 41 = -v. Solve -a - o - 6 = h*a, -12 = -4*a - 5*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4587.\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 40. Suppose -2*u + 8 = -w, 5*u + 2*w - 18 = 4*w. Suppose 3*g + v - 10 = -1, u*g + v - 7 = 0. Solve -n*t + g*t + 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 9*l - 5. Let x be q(6). Let b = -4 - x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*2*-4*4)\/((sqrt(88) + -3*-1*sqrt(88))\/sqrt(8)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**8\/2016 + u**7\/630 - 7*u**6\/720 + u**5\/90 - 214*u**2. Determine t, given that x(t) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o = -3*o. Suppose o*b + 15*b + 74505 = 0. Let c = -89275\/18 - b. What is the common denominator of c and 4\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764516 to the power of 1\/2, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 4. Let i(y) be the second derivative of 3*y**2\/2 - y. Determine -4*i(u) + 3*v(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Let d(i) = -21*i + 20*i + 6 - 3. What is -d(f) + 2*m(f)?\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 3 + 12 + 0 - (-53 + 7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 546 + -407. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(125) - sqrt(125)) + -1)*-5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102890927 is divided by 3632?\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1 + (-3 - -6) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - -0.27. Let o = f + 0.67. What is o rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12328\/9246)\/(10\/1005)\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -950105 by -1.\nAnswer: 950105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 420 and 36120.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4517793.\nAnswer: 3, 7, 71711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 5:22 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 23 = 10*y - 5*n, y - 1 = n. Suppose -2*f = -45*z + 46*z - y, 2*z = f + 3. Let w = -5 + 3. Sort -1, w, 3, f.\nAnswer: w, -1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552321 (base 6) in base 13?\nAnswer: 17b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -73*n**2 + 26*n + 8. Calculate y(-3).\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4290)\/(-594) - 4\/18. Is v != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 8, 33, 88, 185, 336, 553, 848?\nAnswer: 1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27893?\nAnswer: 27893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 8 + -16 + (0 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177 is divided by 235.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4, -4 in descending order.\nAnswer: 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (134 + -130)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:25 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b - 5*b - 3*b - b - 9*b + 0 + 0 - b + (0 + 3 - 5)*(0*b - 3*b + b))*(-1063*b + 1063*b - 7*b**2 + b**3).\nAnswer: -14*b**4 + 98*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r - 2. Let n = 2 - 6. Let h = n + 6. Let k = h - 0. What is d(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.3 + 8. Let f = a + 0.3. Let i = 0.49 - f. What is i rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.1. Let z = 233.9 + -233.9. What is the closest to v in -0.2, z, -0.01?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 77 = -8*y. Let o(a) = 2*a**2 - 29*a + 8. List the prime factors of o(y).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/1930709?\nAnswer: 9\/1930709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4495?\nAnswer: 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 185084?\nAnswer: -185072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88839 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/47647 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14) + (-112)\/147)\/(91\/741) - -8\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207045 and 114165?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1660.000000788 - -1660. What is t rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.193 + -1.193. What is the fourth biggest value in w, -2, 2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.6, 0, 0.04, -1\/2, -0.27?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 17 + 6 = -2*k, -2*k + j + 45 = 40 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Suppose 7*o + 15 = m*o. Calculate the remainder when 3 is divided by -1 - o - 0\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 12)*((2 - 1 + 0)*(3 - 2*i - 3) + 3*i - 4*i - i) as f*i + x and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -498 (b) -0.05 (c) 19 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x + 5*l - 1891, 3*x - 1877 = 2*l. Let o = x - 102. Let v be o\/42 - 2\/4. Calculate the greatest common factor of v and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 6. Suppose -3*z + 5*z - 2 = 0, -4*x + j*z = -23. Let a be (0 + -1 + 2)*63. What is the greatest common factor of x and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 2*y**2 + 21*y + 10. Give h(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r. Suppose -5*z + 4*k = 0, r = 2*z - k - 0*k. Suppose -4*c + 42 + 206 = z. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66624*s + 199871*s + 7*s**2 - 66621*s - 66626*s.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 338921857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)**22*(q\/(q*(q**(-1)\/q)\/q*q))\/(q\/q**0)*(q**8\/(q*q**(-1\/4)*q))**(-1\/14) assuming q is positive.\nAnswer: q**(-2433\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a9 - -1?\nAnswer: -2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1495 = -11*f - 949 - 1283 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.91 + -1.67. Let a = t - -0.75999. What is a rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.054.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 9965664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15023451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-192)\/(-80))\/2)\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a = 71 + 70. Let i = 0 - -2. Solve 0 = -v + i*v + a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 10*l + 19. Determine q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*u = 62*u - 75 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76476 + 68485 - 144964 + 15*j**3.\nAnswer: 15*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7))**(-12\/17)\/(h**7*((h**(1\/2)\/h)\/h*h)\/h) assuming h is positive.\nAnswer: h**(-1237\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.35 - -3. Let l = 0.05 - a. Put 5\/3, -4, l in increasing order.\nAnswer: -4, l, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*156\/52*4\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*i + 5*m, 3*i + m + 108 = 113. Let l = -6 - -10. Suppose 0 = 5*v - l*v + 5. Sort i, 1, v.\nAnswer: v, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 105 - 743*m**2 + 51.\nAnswer: -743*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2184762?\nAnswer: 2, 3, 364127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, c: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*k**3*r**3 + 179*k**3*r**2*s**2 - 151*k**2*r**3*s**2 + 3*k*r**2*s**2 - 5*r**2*s**2 wrt r?\nAnswer: 48*k**3 - 906*k**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3))**(-2\/31))**(1\/2)*(v**(-2\/17)\/(v*v*v\/(v\/((v\/v**(-4))\/v))))**5 assuming v is positive.\nAnswer: v**(-48377\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*(sqrt(931) - (sqrt(931) + -2*sqrt(931))) + sqrt(931))**2 + -3).\nAnswer: 50256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 45*g - 48. Calculate c(9).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 61845?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaalaalaalaaaakalll. What is prob of sequence lla?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 22 = -12. Find the third derivative of 11*k**2 - 2*k**o - 18*k**2 + 3*k**6 - 51*k**2 wrt k.\nAnswer: 360*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 48*c**2 - 75*c - 2. Let r(u) = 186*u**2 - 300*u - 9. Let f(i) = -9*p(i) + 2*r(i). Let m(y) = y**2 - y. Give -f(k) - 75*m(k).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2. Let s(c) be the first derivative of c**5\/30 - 11*c**2\/2 - 4. Let k(f) be the second derivative of s(f). Determine k(p(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 17*u**2 - 2*u + 22. Let w be v(16). Let z = w - 170. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - z - 17 = 0, -3*n - 2*z = -4*n + 13. Let j = 1 + n. Solve v + 3*v - 5*u - 7 = 0, j*u = -4*v + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1699, 1447, 1195, 943, 691, 439?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g**3 - g**2 - g - 1. Let j be h(-1). Suppose 24*l - 28*l + 92 = 0. Suppose 3*i = -0*i + 5*d + l, 4 = -4*d. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + 120?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11470\/(-40))\/31 - -9. Does z = 10958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/20 + 19\/60. Let o(a) be the second derivative of 5\/9*a**3 - 2*a + 0 - 2\/3*a**2 - b*a**4. Factor o(f).\nAnswer: -2*(f - 1)*(3*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/14 in 8, 3, -0.3, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/7099330 and -43\/13184470?\nAnswer: 92291290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3 - 110*d**2 - 10440*d = 0. Calculate d.\nAnswer: -36, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 1c0b9?\nAnswer: -1c0b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562*o - 3064 = -564*o. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 54*p - 18*p - 21*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j**3 + 15*j**3 - 24*j**3 - 10*j**3.\nAnswer: 34*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*c = -32*c - 2080. What is the highest common divisor of c and 1130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011 (base 2) to base 6.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 416*x**2 - 89*x**2 + 579*x**2 + 238*x**2 - 2098*x + 203*x**2 wrt x?\nAnswer: 2694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - -7822ba?\nAnswer: 7822cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 299 - 41 = 0. What is the remainder when n is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 - 1) - -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:16 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 0 + 0)*(80*h - 20*h + 101*h) + (-2*h + 5*h - 2*h)*(-4*h - 2*h + 7*h) as c*h**2 + w + s*h and give c.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + sqrt(90)*-3)\/sqrt(3))\/sqrt(6) + (3*(sqrt(15) - sqrt(120)\/sqrt(8)))\/sqrt(3) + 1.\nAnswer: -2*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 5.6. Let k = 0.3 - f. Let r = 3\/11 - 29\/66. What is the closest to k in -5, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 - 22 = -39*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/20 - a**2\/2 - a. Let n(j) = 3*j**3 - 8*j**2 - 10*j + 11. Let p(r) = n(r) - 2*y(r). What is the units digit of p(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3064 + -3059. Solve -5*a + 15 = -w*s, 4*s + s + 5*a + 35 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 7:38 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/93, -1, 1, -4, -193 in descending order.\nAnswer: 1, -2\/93, -1, -4, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(5) + 0 - -1*sqrt(500)) + (sqrt(245) + (sqrt(245) + 1 - sqrt(245))*4)**2 + 4.\nAnswer: 63*sqrt(5) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20412162, 20412160, 20412158, 20412156?\nAnswer: 20412154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 29. What is a(-17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 17*z - 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppapappppppappappp. What is prob of sequence paa?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 2*p + 1\/4*p**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003566 rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 10 = 2*y + 2*v, 4*y + v + 5 = 0. Let g(n) = -n**2 + n - 7. Let s be g(y). Let l(j) = j**3 + 9*j**2 + 7*j + 9. Is l(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7685, 15421, 23155, 30887, 38617, 46345?\nAnswer: 54071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 36478.629228926\nAnswer: -36478.629228926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 1288, 4642, 11180, 21964, 38056?\nAnswer: 60518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*10855340\nAnswer: -54276700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(0 - 1 + 3)*(25809*t - 295*t**3 - 25809*t - 1411*t**3).\nAnswer: 3412*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58144 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, -3845 in descending order.\nAnswer: 5, 0.1, -3845","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: Simplify ((sqrt(63)\/(2*sqrt(3)))\/(sqrt(84)\/((-1*sqrt(12) - sqrt(12)) + sqrt(12))))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, b: 2, i: 2}. What is prob of picking 1 i and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.2802815.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4314054 (base 7) to base 5.\nAnswer: 113243304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 17*k + 43. Calculate the remainder when 51 is divided by z(16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 21*l**2 - 5*l - 3. Let h(w) = -23*w**2 + 4*w + 3. Give 5*h(v) + 4*k(v).\nAnswer: -31*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 1147 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3239\/198 + 183\/11. Calculate the common denominator of i and 149\/306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.107 - -9.707. What is the nearest to 2 in -5, 4\/5, 0.2, c?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/10)\/((-138)\/115). Put 2\/11, -7, u, 3\/5, 4 in descending order.\nAnswer: 4, u, 3\/5, 2\/11, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, 6, -3, -2, -35?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 210\/(-50))*5\/27. What is the biggest value in h, -11, 0, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-174)\/(-18) - ((-228)\/18 - 4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 + (5 - 1 - 3)*(3 - 4 + 2))*(4 - 4 + 1)*(-44 + 482*g - 243*g - 240*g).\nAnswer: -3*g - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = w - 442, 13*w - 1102 = -5*t + 12*w. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -77*j**6\/9 - 108*j**5\/5 - 89*j**4\/6 + 4*j**2\/3 - 7. Solve z(g) = 0 for g.\nAnswer: -1, -2\/7, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 192436*k + 7 - 773105*k - 4 - 349332*k. Let n be m(3). Round n to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14142.\nAnswer: 2, 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 21) + -11 - ((-16 - 0) + -5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.104 and 72.981.\nAnswer: 7.590024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 4) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (sqrt(108) + sqrt(12) - sqrt(12)) + sqrt(12)).\nAnswer: -40*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 138 - 150. Suppose 135 + 821 = d*f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -843, -10, -3, -446, -5 in descending order.\nAnswer: 4, 2, -3, -5, -10, -446, -843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9, -1\/3, 2\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 224*n - 235*n - 33. Let g(p) = -5*p. Determine g(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*-1 - (-48)\/(-70)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**3 + 7*q - 3. Let f be t(3). Suppose 4*w - 3 = 3*w. Suppose 0 = -2*u + w*u - 14. Calculate the greatest common factor of f and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-397660)\/239712 + 3\/(-4). Let q = 1\/5448 - t. Find the common denominator of q and 23\/96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2979132574*r**3 - 3*r - r**2 + r**2 - 2979132597*r**3.\nAnswer: -23*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 5 + 5)*(-12 - 10 + 6)*(24*d**3 - 28*d**3 + 6*d**2 - 19*d**2).\nAnswer: -192*d**4 - 624*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 39. Let m = -22 - a. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111101011111000 - 100?\nAnswer: -1110111101011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 136, -58, -578, -1424?\n\"Answer: -163*v**2 + 295*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 4*l**2 + 6*l + 2. Calculate q(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**5 - 1405*x**4 + 122175*x**3 - 2481815*x**2 + 3207050*x + 60711000 = 0.\nAnswer: -354, -4, 7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54819, 54822, 54827, 54834?\nAnswer: 54843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 1324 = 8*s. Let f = -4636\/7 - s. Sort -2, 1, f in descending order.\nAnswer: 1, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12a92d (base 16) to base 2\nAnswer: -100101010100100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -6*l - 2456. Calculate the remainder when l is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppkp when four letters picked without replacement from pkppppkpp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)\/sqrt(3))**2*-4 + -4.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - -5044?\nAnswer: 5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 1, k: 1, a: 1, m: 1, p: 1}. What is prob of sequence ckap?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1101110000000001101 (base 2) to base 9\nAnswer: -756056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(2) - (sqrt(2) + -1)) + sqrt(2)))**2 + 1 + sqrt(98) + (-1*sqrt(128))**2*1 + -3.\nAnswer: 25*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 417.5 + -418. What is the second biggest value in -0.03, h, -2.8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642708 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3660 + -2298. Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4)\/(-1*3\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 272 + 87. Let c = -355 + y. Solve -3 = c*m + 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16344825, -32689636, -49034447, -65379258, -81724069, -98068880?\n\"Answer: -16344811*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -54*z. Let v(w) = -4*w + 4*w + 2*w - w. Give g(v(r)).\nAnswer: -54*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.08, 0.5, 2.2, 3, -12\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/52276 and -49\/309922.\nAnswer: 4338908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 1, v: 2, r: 1, a: 2}. What is prob of picking 1 a and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:14 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/438 and 101\/284.\nAnswer: 62196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:45 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1172 + -1167. Let u = 11 + -8. Suppose -3*f = 3*k - 21, 6*f - 2*f - 24 = -u*k. Sort d, f, -4.\nAnswer: -4, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6233257.\nAnswer: 6233257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4\/3, 253, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + (2 - 4))\/(4\/(-84)). List the prime factors of 3\/(-21) + (-822)\/m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.01, 2\/3, -66\/7, -0.2, 0.78, -3\/2?\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6 + (-6)\/(-3). Which is the biggest value? (a) m (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*g = -20, -5*m + 2*g = 3*g + 4. Suppose -2 + m = -k. Let f be -3 + ((-81)\/1)\/(-27). Solve -k*r + 7 + 1 = f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/129 - -265\/903. Let r be 2 + (-148)\/36 + 2. Which is the second biggest value? (a) r (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347 + 51 = -74*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 69, 169, 357, 663?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -496284689 and -2.\nAnswer: 992569378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 - 2 = 0. Let d(x) = -3*x**2 + 5 - x**3 + x**j + 0*x**2. Is d(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4044 - -52.5956. Which is the closest to 0? (a) 2\/5 (b) n (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 - ((13 - 29 - (1 + -1)) + -7).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(56\/7)*(-274)\/(-8631)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Suppose -48 = h - 25*h. Let f be h\/((g - 6)\/22500). Round f to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -25. Let t(z) be the first derivative of 2*z**4 - 1 - 7*z**2 + 2 + 2*z**a + 0*z**4. What is the second derivative of t(s) wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558219 rounded to the nearest ten thousand?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, f: 5}. Give prob of picking 1 x and 2 f.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2747 to 1 dp.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 2860432*w - 2860436.\nAnswer: 4*(w - 1)*(w + 715109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*((sqrt(121)*2)\/sqrt(11) - sqrt(11)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abebgamataba. Give prob of picking 1 a, 1 e, 1 b, and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2257, 7, 5 in decreasing order.\nAnswer: 2257, 7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49932\/199 or 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 14*t - 22. Let s(l) = 6*l + 32. Let f be s(-4). What are the prime factors of r(f)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*x**5 + 755*x**4 + 501*x**3 + 694588791*x?\nAnswer: -500*x**3 + 9060*x**2 + 3006*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-20) - (-84)\/15. Suppose 2*t + 1 - 10 = w, 3*w + 22 = v*t. Calculate the remainder when (-27)\/6*(t - 29) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**4\/12 - 3*f**2 - 64*f. Let r(c) = 74*c**2. Give t(r(a)).\nAnswer: -148*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*z = 157926, -5*z = -11*p + 10*p + 39486. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/205, 0.5, 12, 0.1, -10, 4.\nAnswer: -10, -2\/205, 0.1, 0.5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from iissiscsis?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 124.\nAnswer: -7\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39551, -39546, -39541, -39536, -39531?\nAnswer: -39526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 483805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a + 39. Let p = 39 + a. Solve -2*h + 0*h - 6 = p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79\/11 + -7. What is k in 6\/11*k + y + 4\/11*k**2 = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -h - h. Let a = 68 - h. Let o = -39 + a. Solve o = m - b, 25 = 2*m - 0*b - 5*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135828 (base 10) to base 2\nAnswer: 100001001010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17195 + 17215. Calculate the greatest common factor of 565 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, g: 5, e: 5, l: 1, w: 1, s: 5}. Give prob of picking 2 e.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*z - 821*z - 353*z to v + l*z and give l.\nAnswer: -1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 0 - (-2 + -2). Let l be ((-3)\/n)\/(2\/(-16)). Suppose 5 - 1 = -2*c, 2*d - 32 = 4*c. What is the highest common factor of l and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26385 - 26734. Is 8 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, t: 2, b: 1, l: 1, q: 2}. What is prob of picking 2 g?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.21007 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + y - 0*y + 15, -d + 10 = -3*y. Suppose -2*u - d = -5*f, -f + 12 = 9. Solve 0*v + 16 = -u*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + -2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185\/21 + -26\/3. Let y = 31.4 + -31. What is the closest to 0 in 0.1, y, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13482 + 5195873.\nAnswer: 5195872.86518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 13) in base 8?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*4 + 2)**2*6.\nAnswer: 1056*sqrt(11) + 127800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570388821?\nAnswer: 3, 190129607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 469.5 + -470. Let u = 14 - 12.7. Let h = u - 1. What is the third smallest value in -5, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -961, -3677, -8205, -14545?\nAnswer: -22697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 7*k + 7. Let a be c(6). Let m = a + -8. Let p be (-843)\/281 - (-7)\/(-1 - -2). Solve m*w = 25, 3*b + 2*w - 6 = p*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 44*v + 284. Let w be r(-6). Let t(b) = b - 1. Let d be t(-4). Put w, d, 0 in decreasing order.\nAnswer: 0, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104223 + 2?\nAnswer: -104221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o - 267*o = 3700 - 739 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 1:57 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 + y**2 - 2*y + 1. Let n be q(1). What is the common denominator of n\/(75\/42 + -1) and -47\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -88. What is the remainder when -1 - 64\/(-72) - 812\/(-18) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(99) + sqrt(11)))\/(4*sqrt(21)\/sqrt(3)).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + o - 7*o - 11*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -7*n**4\/24 + 5*n**2. Let i(b) = -6*b**2. Calculate i(a(r)).\nAnswer: -294*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fesm when four letters picked without replacement from {m: 1, e: 2, b: 3, s: 1, f: 3}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 5*q**2 + 2*q + 15. Let v be a(-4). Let w(m) = 6*m + 7. Let y(d) = -3*d - 3. What is v*y(j) - 4*w(j)?\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -1\/7, 0, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-55 - (-3 + 5)). Let s = l - 38. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 2*y + 10. Let a be q(-5). Let s be (9 + a)*(-6)\/4. Let w(o) = -o**2 - 5*o + 4. Give w(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + -125. Let k = -99 - y. What is the greatest common factor of 30 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 divided by -749198?\nAnswer: -403\/374599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3882 and 2588.\nAnswer: 7764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/(40\/(-72)*(-81)\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1556 - 1556. Let a = 6 - 4. Let b be (-2)\/(-1)*(-15)\/(-10). Solve d = -b*l + 12, a*q - 3*l + 20 = l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -751, -803, -883, -991, -1127, -1291, -1483?\n\"Answer: -14*d**2 - 10*d - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:51 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 4*q - 4. Suppose -5*c = 2*a + 4, 3*a = c + 4 + 7. What is t(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 7362 + 7362 to n*v + u*v**2 + j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17409)\/28186*1\/(-7)*4?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56247704*b**2 - 29755202*b wrt b.\nAnswer: -112495408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(1\/7) + (-20 - (-40 - 4783)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.67 minus 25192688329?\nAnswer: -25192688360.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(468)*-3 + 5 - (sqrt(468)*1 + -3 - (-5 + -1 + sqrt(468))).\nAnswer: 2 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -159*s + 52. List the prime factors of o(-22).\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.56, 4, 27 in decreasing order.\nAnswer: 27, 4, 2, -0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -4)*2\/(-6). Put 12, o, 5 in descending order.\nAnswer: 12, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2.5. Let c = -66 - -62. What is the third biggest value in c, -0.3, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 + 3*n**5 + 0*n**5 + (-n**3 - n**3 + 3*n**3)*(0*n**2 + 2*n**2 + 0*n**2).\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 9171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**3 + m**2 - 3. Let j be x(3). Let l be (-338)\/(-17) - 12\/j. Suppose -18*a + l*a - 68 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.4309 years in millennia?\nAnswer: 0.3884309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45445541 and 1793?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -973, -975, -963, -931, -873, -783?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - r - 36 = 2*v, 5*v - 4*r - 45 = 0. Let m(l) = 3*l**2 - 7*l - 52. Let t be m(v). Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 3. Let v = j - 19\/2. What is the third smallest value in -5, 2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5948*b**3*k**2 + 3*b*k**2 - 2170*k**2 + k wrt b?\nAnswer: 17844*b**2*k**2 + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/75 + 39\/50. Let z be 2\/3 + 33\/(-9). Let w be (-40)\/(-16)*1\/(-5). What is the nearest to z in w, o, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1004 divided by 6.\nAnswer: -502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:18 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(-2\/33))*b*b\/(b*b**16)*(b**(2\/9)\/b*b*b)**(17\/2) assuming b is positive.\nAnswer: b**(-925\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/5 of a hour?\nAnswer: 276","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -654, -1299, -1944, -2589, -3234, -3879?\nAnswer: -4524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 14, 2, -26, -76, -154, -266?\n\"Answer: -c**3 + c**2 + 2*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5*v - 2*v)*(-20*v**4 - 24*v**2 + 24*v**2).\nAnswer: -60*v**5 + 40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -i - r, -2*i - 2*r + 42 = -r. Let d = i - 8. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/3*(-270)\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.47273 + 0.52273. What is the smallest value in 12, -2\/31, d?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2921 + 2959. Calculate the greatest common divisor of 1919 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000201563638 rounded to six decimal places?\nAnswer: 0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*14*(162\/(-1404))\/((-30)\/65)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -13*u**5\/20 + 11*u**2 - 4*u. Find the first derivative of f(w) wrt w.\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {s: 10, g: 2, p: 3, r: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*l + 8 = 2*l, 0 = 5*l. Sort 1, a, 2\/9 in decreasing order.\nAnswer: 1, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6582773 rounded to the nearest ten thousand?\nAnswer: -6580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7382*y - 490*y - 9530*y to the form m*y + f and give m.\nAnswer: -17402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58990, -63915, -68838, -73759, -78678, -83595, -88510?\nAnswer: -93423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.84? (a) -74 (b) 2\/3 (c) -4\/97 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3730099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2214.881um to millimeters.\nAnswer: 2.214881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006309 rounded to six dps?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 42 + 127 = -5*g, -2*p - 5*g = -47. Let s(d) = d**3 - d**2 + 12. Let r be s(0). What is the greatest common factor of p and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 28. What is h(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -93) + -11 + -10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 29. Suppose 0*g - 2*a = -4*g - 34, -g - d = -5*a. Let z(h) = h + 7. Give z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 a factor of 131161792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 302298 divided by -3\nAnswer: -100766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -2\/35 (c) -2\/5 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*x + 1391651258 + 1178742. Round x to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -348*c + 349*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 258*q**3 - 2 - 3*q**2 - 259*q**3 - 2 - 2 in the form h*q**3 + x*q + b + w*q**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43573138 divided by 21786569.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4207 or -2?\nAnswer: 4207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -73 + 67 - (-22 + -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, -15 in increasing order.\nAnswer: -15, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 75 = 11*f. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8694 and 4266.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 14) to base 3\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1198562725 rounded to the nearest one hundred thousand?\nAnswer: -1198600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/4256*70 + 5810\/(-112).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 - 42 - 28*v)*(-101*v - 10 + 202*v - 100*v) in the form t + a*v + x*v**2 and give a.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.285? (a) 5 (b) -5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, v: 2, x: 5}. What is prob of sequence bb?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-3)\/3 + 18. Let q = -678 + 3293\/5. Let t = l + q. What is the third biggest value in 0.1, 1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 4:05 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 1546444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 658*o + 94078 - 50650 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1985 and 529201?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from {t: 4, j: 5, r: 1, z: 2, v: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696 - 2141 = -2*z - 5*t, t + 719 = z. Suppose -10*y + 820 = -z. What are the prime factors of y?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266195 + -103224. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 7*h**2 - 8*h + 6. Suppose 4*y + 5*q + 209 = 177, -2*q - 8 = 0. Determine w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42138 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9023 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/5)\/(2\/20). Suppose f*c - 24 = 2*c. Suppose 2*m - 22 = 2*r, 3*m + 3*r - c - 27 = 0. Calculate the highest common divisor of 18 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22, 45, 68, 91, 114?\n\"Answer: 23*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 - 3*n + 3. Let y be l(3). Let b = y + 57. What is the fourth smallest value in -5, -2, -1\/7, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) -0.3 (c) 31 (d) 0.2 (e) 2635\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((116\/(-18))\/((-36)\/36))\/((-4)\/9)?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -666, -1323, -1968, -2601, -3222, -3831, -4428?\n\"Answer: 6*d**2 - 675*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let z(d) = -13*d + 151. Let i(t) be the second derivative of -4*t**3 + 301*t**2\/2 - t - 2. Let h(l) = 6*i(l) - 11*z(l). Determine j(h(q)).\nAnswer: -q**2 + 290*q - 21025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 22*z + 654 - 638 = 0, 6*g - 4*g - z - 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Let n be 11 + -8 + 1*4. Suppose -l*t = -5*a + n, 3*a - 8*a + 61 = 4*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, 488, 588, 674, 740, 780?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, t: 4, k: 2, s: 1}. Give prob of sequence kkgg.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a + -27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 25732?\nAnswer: 25734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + i + 2 + 16, -4*y + 3*i + 24 = 0. What is the greatest common divisor of 30 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -833 (base 13) to base 2.\nAnswer: -10101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -8*z**4\/9 - 5698*z**3\/9 - 376624*z**2\/9 + 1498648*z\/9 + 132704\/3 = 0.\nAnswer: -638, -78, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*y + 5*r - 1, -2*r - 2 = y. Suppose 0 = -6*b - y*b + 1962. Suppose -b = -4*g + n, -4*n = 2*g - 4*g + 174. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-28) - 6\/14. Solve w*z - z = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1400652203 rounded to five decimal places?\nAnswer: -0.14007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1328 divide 95197680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -687 + 2667\/4. Calculate the common denominator of u and -43\/409.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 2*u**2 - 2. Let j be m(2). Let k be (j\/4)\/(6\/(-12)). Let v be k*-21*14\/(-21). Solve -2 = 4*x + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -25*m + 4. Let s = 11 - 9. Let a be (s\/(-6))\/(3\/27). Is x(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 6*m + 3. Suppose 2*y = -2*y + 20, -m*j + 5*y = 10. Suppose -3*q - j = -32. Solve -2*g + 3 = q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7769084ms in minutes?\nAnswer: 0.00002961514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**3 - 3*j**2 + 7*j - 11. Let i(s) = s**3 + 1 - 2*s + s**2 + 0 + 3. Let l(v) = 7*i(v) + 2*u(v). What is the lowest common multiple of l(0) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183018.\nAnswer: 2, 3, 11, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + 5*(-2*sqrt(1100) + 3))*4)**2.\nAnswer: -64000*sqrt(11) + 1766400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536, -546, -562, -584, -612, -646?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*r + 16237176 = 16227768 for r.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/2*(-182)\/(-7)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:39 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(46*x + 56*x - 89*x)*(1 + 1 + 2).\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32748.3 - 32748. Which is the closest to -4? (a) y (b) -1.2 (c) -2\/19 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-108)\/(-14) - (-12)\/42. Let n = b + -5. Suppose -n = -f, -t - f + 3*f = 0. What is the highest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 19. Let t = -4 + n. Solve -j + t = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -2*u + 0 + u**2 + 0*u**3 + 1\/4*u**4. What is the derivative of x(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bbdc1 (base 14) to base 6\nAnswer: -13432405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 16*s - 33. Let x(i) = -8*i**2. Determine p(x(b)).\nAnswer: -128*b**4 + 128*b**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550564*m - 10 = -550558*m - 4*v, 0 = -3*m - 5*v - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1498, -1536, -1566, -1582, -1578?\nAnswer: -1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r + 5 + 4*r - 2 + 2*r. Let d = 6 - 9. Give q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -13 - (3 + -3). Let l = -5 - t. Which is the nearest to 1? (a) 2 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 20*a - 67. Let x(g) = g**2 - 20*g - 66. Let z(i) = 7*l(i) - 6*x(i). Let j be z(23). Sort -3, j, 26 in increasing order.\nAnswer: j, -3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 91 + 90 - 3*v + 41*v**2 as l*v**2 + j*v + t and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s + 12*s + s**3 - 3*s**3 to the form z*s**3 + m*s + n + g*s**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 607.048 millennia?\nAnswer: 607048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:50 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165993 is divided by 250?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + h**2 + 4. What is r(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(28\/(-63))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 22.58908 micrometers?\nAnswer: 0.002258908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2 = 0, 18 = -329*i + 337*i + 2*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -232653291*a**2 - 18438305*a wrt a.\nAnswer: -465306582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/53)*h**(-17\/4)*h**(-6)\/h*h*h\/(h*h**(4\/3)))**45 assuming h is positive.\nAnswer: h**(-110865\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-929.\nAnswer: -9.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = q - 8, -7*z + 3*q = -6*z + 14. What is the second biggest value in 2\/19, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 386620*d**2. Let j(m) = 6*m. What is h(j(i))?\nAnswer: 13918320*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/20 + 3*k**4\/4 - 7*k**3\/6 - 8*k**2 - 239*k. Let i be g(7). Solve -3*c = 8*c + i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/5 + 14*u**3\/5 + 402*u**2\/5 - 1694*u\/5 - 416 = 0. Calculate u.\nAnswer: -13, -1, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x + 94. Let k = x - 13. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0*u + 2*u - u)*(-4725 + 1412 - 2338) to d*u + r and give r.\nAnswer: 5651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.643 + 0.357. What is the closest to 1 in -4\/3, 27, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*g + 2*g + 44, 0 = -5*i + 3*g + 64. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxrrrrrqqofq. What is prob of picking 1 x and 3 q?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514908, -1029791, -1544672, -2059551?\nAnswer: -2574428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 286298 > 286296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {n: 2, y: 1, i: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 617*c + 60 = 614*c, 4*c - 34 = -r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 3513 = -2818. Let n = -282 + w. List the prime factors of n.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/370712 and 30\/4772917?\nAnswer: 38183336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0542711601 to 6 decimal places.\nAnswer: 0.054271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = j - 2, -4*j + 8 = -54*b + 57*b. Put 11, 5\/3, -4, b in decreasing order.\nAnswer: 11, 5\/3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 + 50*g - 14. Give t(13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24390 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1003*k. Let j(l) = 41*l - 2. Give j(t(w)).\nAnswer: -41123*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(12\/16 + -1). Which is smaller: m or -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Suppose 199*n - 570 = 9*n. Let p(r) be the third derivative of 0*r**4 + 0*r + 17*r**2 + 0*r**n - 11\/60*r**5 + 0. Give p(i(g)).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 113 + 12\/3. Let a = -54 + w. What is the greatest common divisor of 24 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {k: 1, w: 1, u: 2, g: 1, h: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 + n - 1. Let y(s) = 3*s**2 - 3*s + 3. Calculate -3*v(l) - y(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 14)*(2*w**5 - w**5 - 3*w**5) - 38*w**5 - 2*w**5 - 57*w**5.\nAnswer: -127*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -z - 390. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(2\/4). Let y = -339\/8 - -42. Let i = -0.0499 + -0.3501. Which is the closest to 2\/3? (a) i (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -2*y - 1\/100*y**5 + 1\/10*y**2 + 1\/20*y**4 + 0 - 1\/10*y**3. Find l such that j(l) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 5)\/(1\/5). Suppose 3*z - 39 = -m. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420, 416, 402, 372, 320, 240?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 10. Suppose -3*c + b*c = -15. Let z(k) = -2*k + c*k - k. Let i(u) = 5*u. What is z(i(n))?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {g: 3, i: 9, d: 7}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 26*o**2 - 646*o - 6325. Give a(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggiggiggggg. What is prob of picking 2 g and 2 i?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijiiiiiiiiiiiii. Give prob of sequence jiii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220945938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-37653)\/(-326))\/(-11)*4*(-15)\/(-18)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 42*i - 3. Let p be r(2). Suppose 5*b - p = 79. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 41*p - 5 = 39*p, 3*z = -4*p + 35. Solve -5*x = 2*a - 10, -4*a = -0*a + z*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-20) - (-883)\/(-5). Let p = i + 347. Round p to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -7*p**4\/4 - p**3 - 3*p**2 - 7*p + 2. Let y(d) = -d**3 - d - 1. Let a(c) = -r(c) + 6*y(c). What is the units digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(432) + -1 + sqrt(12) - ((sqrt(216) + 2*sqrt(216) + sqrt(216) - sqrt(216))\/sqrt(8))\/((sqrt(9) + (sqrt(9) - sqrt(144)) + sqrt(9))*2).\nAnswer: 2 + 31*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2262456979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17898*s**2 + 42*s + 63. Let t(x) = 8950*x**2 - 21*x - 34. Let i(n) = 6*b(n) + 13*t(n). What is the second derivative of i(v) wrt v?\nAnswer: 17924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 3 = -q + 10*z, 0 = 5*q + 5*z - 25. Let x be q + 7 + 1004\/(-52). Which is bigger: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 16. Let q(x) = -3*x**2 + 4 - 24*x**3 + 23*x**3 + s + 4*x. Determine q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3228070 divided by -7.\nAnswer: 3228070\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -756575 (base 12) to base 6.\nAnswer: -103443425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -2, -1\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(405)\/sqrt(9)) + -5*(sqrt(5) - sqrt(20)) - (-3 + sqrt(125) + sqrt(10)\/sqrt(2)*1))**2.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*z, -2*f - 5 = -26*z + 27*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -13776764?\nAnswer: -13776757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*i + 21*i. Solve i = 2*j + 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a millennium in centuries?\nAnswer: 106","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: Solve 0 = -119*p + 253 + 580 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*b - 2*b - 285. Sort b, -4, 29 in decreasing order.\nAnswer: 29, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 19603020?\nAnswer: 19603020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2) + 5 - (sqrt(2) - 5*sqrt(32)).\nAnswer: 1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**2 + 381\/2 + 1527\/2*m.\nAnswer: 3*(m + 127)*(4*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.087 and 5391519.\nAnswer: 5391519.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28573 is divided by 231?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - f)*(-28 + 33 - 22) - 3*f - 2*f + 12 + 3*f + 0*f + 0*f - f.\nAnswer: 14*f + 12","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1009*f*n*y**2 - f*n - 1069*f*y + 6680*n*y - 20383*y**2 wrt n.\nAnswer: 1009*f*y**2 - f + 6680*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + -3 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-5))\/((p**(-9)*p)\/p)*p**(-8\/5)\/p**(-1)*(p\/((p*(p*p**(-2\/3)*p*p)\/p*p)\/p))**(-9\/5)*p**(-1\/5)*p*p*p**(3\/2)*p*p assuming p is positive.\nAnswer: p**(231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -173656469, -347312941, -520969413, -694625885?\n\"Answer: -173656472*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 169, 137, 71, -41?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10001193 is divided by 5835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 - ((-2 - -6) + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -381, -764, -1147, -1530, -1913, -2296?\n\"Answer: -383*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 29889152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7369961426 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.9 + 38. Let n = m + -0.1. Which is smaller: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1106 - 470 = -6*o. Put o, 5, -24 in increasing order.\nAnswer: o, -24, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 12. Let s be q(3). Suppose 3*b = f - 18, -f + 29 = -4*b + 7. Is f*(-3)\/s + (137 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 8587*r = -8579*r + 20, l + 4*r + 24 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(12\/9) + 206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -319707458*q**3 + 54644269*q wrt q?\nAnswer: -1918244748*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*9)\/((-117)\/3666). Suppose -3*j - 90 = s. Let v = j - -128. Solve -u - v = -0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-105)\/10) + 77\/(-735).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + x**2 - 9*x - 1 + x. Let q be g(-4). Let z = 30 - q. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31909?\nAnswer: 17, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) + sqrt(325) + -3)**2*1 + -4 + ((sqrt(13) + 0)*-3 - (sqrt(156)*-5)\/sqrt(12)).\nAnswer: -34*sqrt(13) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d1 + -3?\nAnswer: -8d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211070 or 10342422\/49?\nAnswer: 211070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let g = 40 + -35. Let a(s) be the third derivative of 3*s**4\/8 - s**3\/6 - 2*s**2. Let b(w) = 4*w. Determine g*b(v) + y*a(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 18, q: 1}?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (23700\/9085)\/(2\/69)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*i - 0*x + 749, -5*i - 5*x + 785 = 0. Let v = i + -147. Solve -v*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/317, 3, 0, 0.226 in increasing order.\nAnswer: 0, 2\/317, 0.226, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15*((-102)\/(-18) - 6). Find j such that 2\/3*j - 2\/3*j**y + 4\/3*j**4 + 0 + 0*j**3 - 4\/3*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7211 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -3. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {c: 3, j: 2, x: 4, t: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10153*x**4 + 3*x**2 - 391 wrt x.\nAnswer: -243672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a factor of 72512760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3348, -13388, -30108, -53496, -83540?\n\"Answer: 2*d**3 - 3352*d**2 + 2*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0989682 millennia in years?\nAnswer: 98.9682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2 - 29505*m + 176943. Calculate c(6).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 20*h + 275. Let k be p(-7). Suppose k = w + f, -6*w + w = 3*f - 671. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12251.6 and -3?\nAnswer: 12254.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 120, 126, 132?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 0)\/((-30)\/50). Factor 9*a + 26*a**3 - 358*a**4 + 2*a**g + 346*a**4 - a - 24*a**2.\nAnswer: 2*a*(a - 2)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*a**3*s**3 - a**3*s**2 - 2*a**2*d*m*s**2 + 2*a*d*m*s**3 + a*d*s**2 - 2*a*m*s**3 + 3*d*m*s**2 wrt s.\nAnswer: -228*a**3 + 12*a*d*m - 12*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150*z**2 + 6518*z + 3887915 wrt z.\nAnswer: 300*z + 6518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.107476295 rounded to 3 decimal places?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42.7 - 40. Let t = b - 0.7. What is the second smallest value in t, 4, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 9*k - 13. Give j(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/7 + 10*x**3 + 17072*x**2\/7 + 278784*x\/7 = 0. Calculate x.\nAnswer: -88, -18, 0, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7957, 7945, 7931, 7915, 7897?\nAnswer: 7877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2696*c**4*f + 2*c**4 - 2*c**2*f - 2*c*f + c - 949 wrt c?\nAnswer: -64704*c*f + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -72. Suppose -2*n - 2*n + 14 = -2*m, -3*m + z*n = 24. Is -11 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -47*u + 1081. Let q be a(23). Solve q = -36*d + 37*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s)\/s)**(-16\/3)*(s*s*s\/s**(-1))**(-39) assuming s is positive.\nAnswer: s**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 + 30*x**2 - 46*x - 31. What is t(6)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/59 in 0, -0.5, -7, -3\/4, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2. Let q(y) = y + 1. Let j be (2 + -3)\/(1\/1). Let a(g) = -6*g - 9. Let k(h) = j*a(h) - 9*q(h). Give w(k(f)).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (8 - (10 - (-1 - 4)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 120*a - 1595. What is v(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16461 - -17175. Is b at least as big as 1429\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 7*m - 3*m = 0, 10 = 5*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -2\/3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/4)*h))**(-6\/19)*h**(-1)*h\/h**(-5) assuming h is positive.\nAnswer: h**(187\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:19 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x - 33. Give p(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13235811079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (98\/(-4))\/((-15)\/(-30)). Is (-2)\/(-7) + (-10913)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 3 = 16 + 6. Let t be 1\/2 + 2*5\/(-20). Put t, y, 4, 1 in decreasing order.\nAnswer: 4, 1, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -96, -107, -118?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j**2*y**3 + 27*j**2*y**2 + j**2 - 2*j*y**3 - 72*y wrt y.\nAnswer: 108*j**2*y + 54*j**2 - 12*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-134)\/14472*600)\/((-2)\/(-18))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/(-3) + (-6)\/(-9) - 3. Suppose -3*w - w = -n*x - 15879988, -2*w + 3*x + 7939991 = 0. Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.2 * 18\nAnswer: -309.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*23*19\/14421?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6679259 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**7*x**(-1\/45)*x*x**16\/x**(2\/41) assuming x is positive.\nAnswer: x**(20164\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 10 + 6. Solve -4*z - f + 10 = 2*f, 1 = -3*z + q*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 52173?\nAnswer: 52173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -21*j - 378. Let u be q(-18). Let o(y) be the third derivative of 0*y**3 + 5\/6*y**4 + 0*y + u - 5*y**2. Determine o(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvl when three letters picked without replacement from {i: 1, v: 3, x: 1, l: 5, s: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 3*k**2 + 5*k + 2. Let t be j(4). Let i be 4*t\/16*2. Suppose 5*f - 158 = i*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n**(-2\/5)))**(1\/14)*((n*((n\/(n\/(n*n**(-1))))\/n*n)\/n)\/n)**(-19\/3))**(-13))**(-1\/14) assuming n is positive.\nAnswer: n**(17173\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o + 4. Let w be y(3). Let v be (-2)\/(8 + 198\/(-27)). Find the common denominator of -121\/48 and v\/w*1\/(3\/226).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215920763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 5*o + 3. Let c be n(-18). Let m = c - -586. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885465 is divided by 327?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 + 2 + a**3 - a**2 + 3*a**3. Calculate the least common multiple of 8 and n(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3\/2 - 40277*q**2\/2 + 15352389*q + 10243876 = 0.\nAnswer: -14149, -2\/3, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 8. Let t be i(-2). Let q be t\/((-2 - 1)\/(-3)). Suppose 5*b - 102 = -x, q = 5*b - b - 2*x - 76. What is the highest common divisor of b and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -911 + 1503. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {u: 5, y: 3, q: 1, c: 2, v: 5}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55611091 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4735\/40721*3\/(60\/8)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 0.05, -83?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02418467 to five dps.\nAnswer: 0.02418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4.821. Let z = -0.279 - n. Suppose 2*c + 2*t - 2 = 0, -2*t = c - 2*c - 11. Put z, -2\/11, 0.1, c in increasing order.\nAnswer: c, -2\/11, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**6\/180 + 2*s**5\/15 - 3*s**4\/4 - s**3\/3 - 5*s**2\/2 - 17*s. Let a(m) be the second derivative of r(m). Solve a(z) = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (140\/98)\/((30\/35)\/6). Let c(m) be the second derivative of -k*m - m**2 + 0 - 3\/2*m**3. What is the derivative of c(r) wrt r?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14465*k**3 - 4*k**2 - k - 369 wrt k?\nAnswer: -86790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2857, -2831, -2809, -2791, -2777?\n\"Answer: -2*r**2 + 32*r - 2887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(130)\/(2*sqrt(10)*-4 + sqrt(10) - sqrt(10)) + ((sqrt(13) - (sqrt(13) + sqrt(39)\/sqrt(3) + -1)) + 0 + sqrt(13) + -3)*-1.\nAnswer: -2 - sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-42)*(-75)\/50\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99012\/65 + 5259\/5. Let p = -471 - j. Let f = p + 1\/26. Which is greater: f or -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6760, -3325, -20126, -43637, -73852, -110765, -154370?\n\"Answer: q**3 - 3364*q**2 + 10123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**5 + 45*f**4 - 135*f**3 + 135*f**2 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026601 to five dps.\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2806781*b - 2806943*b = -7452 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 1 - -21 - (-55 + 0 + (-3 - -3)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = -3*c, 4*c + 1 = 5*a + 15. Solve h + 0 = -c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -2 - (-16)\/4. Suppose 5*y - 22 = 3*m - 7*m, f*m = -4*y + 23. Let a be 3 - 3\/6*-4. Solve p = -a*t - 7, 3 = -m*p + t + 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33800 is divided by 824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z + 23*z + 20*z + 14*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1368306 and -0.1.\nAnswer: 0.01368306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 1005?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/14 + (-9)\/(-21). Suppose -v*z - 2 + 12 = 3*p, -4*z + 8 = -3*p. Suppose -u = 2*c - 45, -93 = -4*c - u - z*u. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b + 71. What is v(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-1 + -5 + sqrt(208))**2 - sqrt(156)\/sqrt(192)*-2.\nAnswer: sqrt(13)\/2 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35\/2, -1092, -0.03?\nAnswer: -1092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-18)*m\/((m\/m**(-5))\/m))\/(m**(1\/12)\/m)**33 assuming m is positive.\nAnswer: m**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1391 - 1380.59. Let h = 11.649484 + -1.240207. Let g = r - h. What is g rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (2 + -4)*-1. Suppose -3*h - 10 = r*h, -2*p + h = 0. Is 1\/28 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-388)\/(-3))\/2*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -16.34 (c) -22\/9 (d) 0.4 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)*o)\/(o\/(o\/(o\/o**(2\/9)))))\/(o**(3\/5)*o**4\/o)*(o**2*o**0)\/((o**1\/o)\/o**(-5)) assuming o is positive.\nAnswer: o**(-377\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is -682 less than -41262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:54 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 3*h**7\/14 + 3*h**4\/4 + h + 4. Let m(j) be the first derivative of u(j). What is the third derivative of m(s) wrt s?\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/3843 and -19\/222.\nAnswer: 284382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438*b*k**2 + b*k + 358*k**4 - 7941*k wrt k?\nAnswer: 876*b + 4296*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 7\/13, -2\/319, 4, 0.08?\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/1516*28\/42. Is 1 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2392*d**5 + d**3 - 21*d - 2 wrt d.\nAnswer: 47840*d**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 2. Let w(v) be the second derivative of -4*v**3\/3 + 6*v**2 + 43*v - 2. Let y(u) = -6*c(u) - w(u). Let s(x) = -2*x + x - 3*x. What is y(s(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = 5*n, x = 4*n + 5 + 3. Let f(u) = 4*u**2 + 4*u. Let p(y) = -y**2 - 2*y. Let l(d) = n*f(d) - 2*p(d). Let s(w) = -64*w - 1. Determine s(l(z)).\nAnswer: 128*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 6. Let n be q(-9). Suppose z - n*z = -18. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/11)*s)\/((s*s**(1\/6))\/s*s))\/(s**0*s*s*s)**(1\/22))\/(((s**(-1\/4)*s)\/s)**(2\/39)*(s\/s**(2\/3))**(-37)) assuming s is positive.\nAnswer: s**(11035\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, m: 3, y: 3, q: 3}. Give prob of picking 1 m, 1 q, and 2 y.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - d - 4*d = 15, -12 = -4*v + 5*d. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*-1*sqrt(160)*-3)\/(-1*4*(sqrt(605)*2 - sqrt(605))))**2.\nAnswer: 7200\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-56)\/(-26) - (-20)\/(-130). Suppose -3*q - 2*d = -10, -q - 7*d = -3*d. Suppose q*m = -4 + 12. What is the greatest common divisor of o and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092422 times -12?\nAnswer: 1.109064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 0*p**2 + 3*p**2)*(p**2 - 2*p**2 - p**2) + 11*p**4 + 3*p**4 + 39*p**4.\nAnswer: 55*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136952 divided by -2584?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*g + 2*g + 15, -4*a = 4*g. Suppose -g*q + 5*o + 474 = 0, -4*q + 632 = 3*o + 2*o. List the prime factors of q.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870*m = 466*m + 447*m - 402*m - 117385 for m.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29063 at least -4190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**3 + 2316*c**2 + 167040*c - 84100.\nAnswer: 4*(c + 145)**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303331 (base 5) to base 11.\nAnswer: -18151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 2. Let p(f) = 11*f + 23. Calculate 5*g(v) + p(v).\nAnswer: v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-49)\/(-21))\/(2\/12). Suppose -5 + s = x. Let w(l) = 4*l**2 - 30*l - 8. What is the tens digit of w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -4 + 11 + -7 + -2 + 66 and 136?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 + 115 = 0. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*n + 24 - 24 - 303*n to the form z*n + l and give z.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -36.8. Which is the smallest value? (a) 1\/6 (b) y (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05996 + -41172.\nAnswer: -41171.94004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(16\/(-15)))\/(36\/480). Suppose 0 = 3*o + 2*o + 4*s - 34, -2*o - 3*s + 15 = 0. Let u = o - r. What is the remainder when u is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)*d**(1\/2))\/((d*d\/(d*d**(-5)*d*d))\/(d*d*d**(-1\/4)))*(((d**(1\/3)\/d)\/d)**(-40\/9))**(-31) assuming d is positive.\nAnswer: d**(-124621\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2 - 4. Suppose 0 = -2*w - t*w + 445. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l**5 + 452*l**4 + 3444*l**3 + 8748*l**2 + 5076*l - 5184 = 0. Calculate l.\nAnswer: -48, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 10. Let c be f(-2). Let l(n) = -2*n**2 + 4*n + 1. Let h be l(3). Let w(z) = -7*z + 7. Let b(d) = 1 + 9 - 5 + 15 - 20*d. Give c*w(i) + h*b(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1935102*m**4 + 96*m**3*o - 5100*m - 5876*o + 2 wrt m.\nAnswer: -23221224*m**2 + 576*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 452816 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002441911975 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 361 (base 7) to base 12\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 13*g**2 - 23*g + 3. Let f be l(-2). Let y(v) be the first derivative of 9\/2*v**2 - 11 + f*v. What is the first derivative of y(t) wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 333662110 - 1?\nAnswer: 333662106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5519, 5533, 5547, 5561, 5575, 5589?\nAnswer: 5603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-6))\/(2280\/(-170)). Let v = a + 1\/38. What is the closest to 0.1 in 4, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2 + k - 1. Let g be t(1). What is the units digit of (12\/5)\/(g\/210)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47385, -189869, -427365, -759873?\n\"Answer: -47506*a**2 + 34*a + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/4 + 2221*b + 4932841 = 0?\nAnswer: -4442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s**2 - 6*s - 1. Let g be u(-6). Let y be (-2)\/4 - (-62)\/4. Suppose 0*c - 3*c + y = 0. What is the closest to 0.1 in g, c, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98723934 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = 7, -3*t + 268 = 5*k. Let o = t + -81. Solve o = h + 4*m + 23, -m = m + 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 c when three letters picked without replacement from {j: 1, x: 3, y: 1, c: 5, k: 6, d: 3}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1540000 is divided by 6873?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let o(p) = p**3 + 4*p**2 - 5*p + 3. Let q be o(-5). Let r(x) = -3 + 16*x + 4*x + q. What is a(r(n))?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4 - 1431*t**3 - 55779*t**2 + 31171635*t + 31225986 = 0.\nAnswer: -297, -1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6122861 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -172*c + 521. Let a be u(3). Let s = -1 - 3. What is the biggest value in 0.4, 2\/3, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3764 (base 13) in base 2?\nAnswer: -1111010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 725*k + 1445*k - 721*k + 3.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 60 (b) 0.09 (c) -9 (d) -47 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -372. Suppose -2*u + o = u. Let d(g) = -108 + u + 2*g. Let q(r) = r. Determine d(q(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 1. Determine j(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (37 - 17) - -27?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.509 - 0.909. Which is the closest to -0.2? (a) 5 (b) h (c) 3 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 0.2 (b) 2\/5 (c) 5 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2)*(3 - 402). Suppose 3*q + 54 - k = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1145123 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19619?\nAnswer: 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 4635.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 8540 - 17020 = -2*k. Calculate the remainder when k is divided by 404.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 7. Let k be r(-5). Let v be 2\/(k\/9*3). Suppose -2*g - 230 = v*h - 6*h, 4*g - 130 = -2*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21001 + 842?\nAnswer: -20048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 864 and 1152?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*t**3*u**3 - t**3 - 278*t**2*u**3 + 4483*u wrt u?\nAnswer: -552*t**3*u - 1668*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/384 and 43\/9444.\nAnswer: 302208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 3164*k - 6312.\nAnswer: -4*(k + 2)*(k + 789)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1503554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 103214 = 5*x - 5*g, -4*g = -x + 34407. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 903 and 1032?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + 4) - (3 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2183 + 9*v**2 + 1096 + v + 1093 to the form f*v**2 + r*v + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 1 - sqrt(304)) + 0 + (sqrt(304) - (5 + sqrt(304)*1 + sqrt(304))**2).\nAnswer: -1240 - 76*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*q = -839, 4*q - 1045 = -5*t - q. Calculate the remainder when t is divided by 64.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -11 - 9) + -11 + 2 + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 680 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 6, 12, 3 in decreasing order.\nAnswer: 12, 6, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40399 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, 3186 in decreasing order.\nAnswer: 3186, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3736 is divided by 86.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 5:51 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 - -1.1. Let x = -7 - h. Sort 0, x, -2 in descending order.\nAnswer: 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 28*r - 195. Let q be p(7). What is the fourth smallest value in -2, q, -56, 3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.35 + -0.05. Let z be 4\/(-17 - 3)*-1. What is the smallest value in -3, z, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-12))\/(20\/(-12))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -14*g + 30, -18*n + 16 = -4*g - 23*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 66*l**2 - 1. Let b be h(-1). Suppose 287 - b = 3*s. Let a = s - 16. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - w**2 + 2*w**2 - 2*w**2 + 56*w**3.\nAnswer: 56*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/75 - 3\/50. Sort 5, -5, 1\/5, b in descending order.\nAnswer: 5, 1\/5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -329, -327, -327, -329, -333, -339, -347?\n\"Answer: -h**2 + 5*h - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -679257 divided by -3.\nAnswer: 226419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*h + 6, 3*h - 11 = 5*c + 13. Solve -h*o - 12 = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-1) - (-2)\/(-1). Let t = 38 + -50. Is (-1948)\/d - 8\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*v**3 + 20*v**3 - 46*v**2 + 126*v**2 - 4*v**2 + 3005 wrt v?\nAnswer: 33*v**2 + 152*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 14. Suppose 2*k = -v - x*v + 15, -20 = -4*v + 2*k. Calculate the smallest common multiple of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 11:31 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(a + 26*a + 8*a)*(0 + 0 - 1).\nAnswer: 105*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = -2*o. Solve -6*w + w + o = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2) + 1 + 27 + -25. Let o be (-1)\/1 + (-2)\/(-1). Let q = 145 + -1017\/7. What is the closest to q in o, t, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 7*a**2 + 12*a - 8. Let b be d(-9). Suppose 43*i = b*i - 45. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/5 - 232518*y**2\/5.\nAnswer: 3*y**2*(y - 77506)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 86. Let u(j) = 183*j**2 - 1 - j - 487*j**2 - j. Let f be u(w). What is f rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let b(t) = 2*t + 1. Let r(n) = b(n) + 3*z(n). Let j(s) = -5*s + 2. Let x(c) = -16*c + 6. Let w(o) = 7*j(o) - 2*x(o). Calculate 7*r(d) - 3*w(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-16)\/336)\/(2\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*q = -33, -3*r = 6*q - 2*q - 24. What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293221736 to the power of 1\/2, to the nearest integer?\nAnswer: 17124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**3 + 368 - 184 - 184.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 2, 1, -127 in ascending order.\nAnswer: -127, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 + 181. What is the second biggest value in 2, -19\/2, r, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 813600, -2, 5, -3 in ascending order.\nAnswer: -3, -2, 5, 813600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 1. Suppose 42 - 46 = -4*d. Let h be m(d). Let j be h\/(-3 - (-8 + 4)). Solve -j*f - f = -15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/275 - 777\/2200. What is the closest to -3 in -0.36, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 + 2206*(-2)\/4. Are y and -1114 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596 and 138123.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -49 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**4 - 140*q**2 - 210*q - 15. Let f(z) = 6*z - 3. Let n(p) = 5*f(p) - k(p). What is y in n(y) = 0?\nAnswer: -4, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -175.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.38 - -3.5. Let w = -2.8 - -2.92. Let y = w + p. Sort -1, y, 2\/13 in ascending order.\nAnswer: -1, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2413 divide 7854315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*l = 161 + 826 - 152 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120183183 divided by -94707?\nAnswer: -1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 1360.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/14 + (-2)\/(-1). Let t(q) = -q**3 - 9*q**2 + q. Let j(o) = 8*o**2 - o. Let u(m) = p*j(m) + 4*t(m). Factor u(a).\nAnswer: -a*(2*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -113, -180, -253, -332, -417, -508?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146.95 + 147. Which is the second smallest value? (a) o (b) 0.5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -176, -226, -276, -326?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let y(r) = -386448*r**2. Calculate i(y(m)).\nAnswer: -386448*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 58*y + 15. Calculate n(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uysc when four letters picked without replacement from csccuvcy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 - t**3 + 0*t**2 + 2*t**2 + (-43*t - 22 + 22)*(2 - 6 + 2)*(6 - 4*t**2 - 6).\nAnswer: -345*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*k - 5 + 231*k + 230*k.\nAnswer: 19*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1251 + 4?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1010 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1169, -1, -19, -2, 325, 4 in decreasing order.\nAnswer: 325, 4, -1, -2, -19, -1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42885 (b) -4 (c) 0.1 (d) 1\/4 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + -4 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-308) - (-5)\/(-55).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*t + 4004 = 205*t. What is the highest common divisor of t and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 98*u - 201 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121212 + -12001?\nAnswer: -1210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/60 - 7*m**4\/24 + 3*m**3\/2 + 33*m**2 + 1. Let z(b) = b**3 + 2*b**2 - 8. Let y be z(0). Determine l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + 0*y)*(-2 + 2 + 2)*(-2 + 1 - 1)*(2*y - y + 2*y).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6514 is divided by 3256.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -98, -34, 24, -6, -3 in decreasing order.\nAnswer: 24, 5, 4, -3, -6, -34, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111\/187 + 7\/17. Let x = -1 + 1. Which is the closest to x? (a) -0.3 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 9*d + 95 - 40, 5*d - 5*x + 35 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -6 + -6 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8967*m**3*q**3 + 24*m**3*q**2 - 21416*q**3 + 4*q**2 - 2 wrt m?\nAnswer: 26901*m**2*q**3 + 72*m**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -14. Let u(a) = -4*a - 68 + 60 - 6*a. Let d be u(-12). What is the highest common divisor of d and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 249, 3, 4 in decreasing order.\nAnswer: 249, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 674311.9 grams?\nAnswer: 674311900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*o + 780 = 0. Let b be 2\/(-3)*o\/(-10). Suppose 5*i + 2*t + 126 = 581, -2*i - 2*t + 182 = 0. Calculate the highest common divisor of i and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 940661 * -0.1.\nAnswer: -94066.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-6) + (-6)\/4. Suppose u*i - z + 499 + 7 = 0, -i - 250 = -2*z. List the prime factors of 2\/(-7) - i\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 6336 + 2185. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Let t = 9 - k. Let l = -1 + t. What is the third biggest value in -1\/8, l, 1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - q + 2, -10 = 5*o - 9*o - 5*q. Is 5\/8 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 17 + 5. Solve -a + h = -0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 327 and 66708?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*t - 124*t = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -157 + 57. Let o be 442\/10 + 5\/f. Suppose 0 = -j - 3*j + o. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 3*n - 2*n)*(-16*n - 28*n - 5*n).\nAnswer: -147*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*p - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 24 + 32)*(-4 + 1 + 4)*(-18*m**2 - 11*m**2 + 11*m**2) to the form a + i*m**2 + v*m and give i.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 137952222 divided by -45984074\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcc when three letters picked without replacement from {c: 2, l: 1, v: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 156635 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 -4*q + 288 = -0*q. Suppose 2*y = -5*k + 49, -2 = k + 5*y - 21. Calculate the greatest common divisor of q and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + 27\/12. Let y = 53\/39 - 9\/13. Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**4 - 532*v**3 + 5117*v**2 + 12402*v = 0 for v.\nAnswer: -2, 0, 13, 477\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 10. Let x be n(6). Let d be (2\/(-3))\/(x\/120). Suppose 0 = t + 5*j - 35, -5*j - 15 + 60 = 2*t. What is the highest common factor of t and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -56368*z - 32. Let m be d(-11). Suppose 0 = 4*u - 4*q - m, -u + 2*q - 619992 = -5*u. What is u rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 3*f**2 - 13*f - 8. Let x be v(-6). Let q be (-1500)\/(2\/(-70)*x\/42). What is q rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 4, c: 3, a: 3, w: 2, d: 1}. What is prob of picking 1 d and 1 z?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 2*v**2 - 2. Let x be l(-2). Let z = 5 + x. Let c = z - 5. What is the second biggest value in -5, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 28 + 0*p**2 + 2*p - 3*p + 2*p**2 as a + q*p + z*p**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(24)\/sqrt(4))\/sqrt(3))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.84 - -1.74. Let c = 0.25 + 0.06. Let y = c + -0.01. What is the second biggest value in k, y, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 + -59. Let a = n - 53.92. Let u = 0.981 + a. What is u rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 0.4 (c) -92\/5 (d) -1\/2 (e) 0.18247 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/6 - 5*d**2. Let a(p) = p. What is a(h(y))?\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f - 9. Let v(l) = -5*l + 4. Give -4*t(h) - 9*v(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3465.19 grams?\nAnswer: 3465190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -3)\/(-1) - -5. Suppose -4*i = -3*h + 12, 4*h = -5*i + 5*h - 4. Let m be (i\/(-1) + -3)*(-72)\/(-54). Sort m, -1, c.\nAnswer: m, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 41605*p**2 - 41510*p**2 + 21*p.\nAnswer: 95*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n - 25*n - 8*n**3 + 40*n + 3*n**3 - 8*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -1345*a**3 + 5885*a + 5756. Differentiate d(b) wrt b.\nAnswer: -8070*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g + 2*r = -6, 0 = -5*g - r - 3. What is the units digit of -6 - g - (-224 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7026, -6784, -6542, -6300?\n\"Answer: 242*w - 7268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*k + 75101 = -20086 + 13563. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 67 + 4\/(32\/(-56)). What is the highest common factor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - -0.7. Let k = 7 + -12. Let r(u) = -u - 6. Let b be r(-8). What is the biggest value in w, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(28)\/(sqrt(2) - sqrt(2)*-1))\/(sqrt(28)\/(sqrt(8)\/sqrt(2))).\nAnswer: -3 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 14*i**2 + 41*i\/3.\nAnswer: i*(i - 41)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 870235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + l - 2. Suppose 5*w - 22 = -j, w - 10 = -5*j + 4. Suppose 4*u - w*i - 288 = 0, u - 21 - 46 = l*i. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0002 - -128170368215.\nAnswer: 128170368215.0002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1.8610486\nAnswer: -0.18610486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 1:04 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (3 + 4) - (80 + -72)) + (1 - 16).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86679 and 154096.\nAnswer: 1386864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -16 - (45 - 47).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 10. Let l be i(13). Suppose 5*o - 1 + l = -2*x, 0 = 2*x - 2*o - 12. Solve x*m + 5 = a - 15, 2*m = 2*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 374*u. Let b(q) = -97*q**2 - 40. Calculate d(b(h)).\nAnswer: -36278*h**2 - 14960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9387 + 19*m**3 + 18*m**3 + 2*m - 36*m**3.\nAnswer: m**3 + 2*m - 9387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 802641*d**2 + 589766 wrt d.\nAnswer: 1605282*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 divided by 5832?\nAnswer: -217\/5832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2927*m - 177 + 2927*m + 148*m**2 + 177.\nAnswer: 148*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184.957 - 0.043. Let p = 190 + y. What is the closest to 2 in -5, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7\/14)\/((-2)\/(-52)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.2 + 9.3. Round n to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 + 6*j - j - 2 + 2 + (-2 + 2 - 2)*(4*j - 6*j + j) - 2*j - j + 2*j + (3 - 4 + 2)*(1 + 2*j - 1) + 2*j + 0*j - j + j - 5*j + 3*j + 2 - 2 + j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 4*p**2 - 3*p**2 - 13 - 3*p**2 - p**3. Let d be j(-10). Let h(w) = -2 - d*w + w + 3. What is h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 3*w + 2. Let v be j(-3). Let k(u) = -5*u - 2. Let g(x) = -21*x - 9. Calculate v*g(t) - 9*k(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 + p**4 + 5*p**4 + (-4*p**4 + 6*p**4 - p**4)*(4 - 14 - 26) as x*p**4 + n*p + c + u*p**3 + a*p**2 and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.933953 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -44*2037145\nAnswer: -89634380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -0.8, -3\/4 in descending order.\nAnswer: 4, -3\/4, -0.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 57.4. Let a = 9.955 - -0.045. Let d = r - a. What is the closest to d in 0.5, -2, 2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-12) + (-6)\/(216\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 51\/5, 0.1154, -3, -1\/2?\nAnswer: 0.1154","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 4*l + 2*l)*(l - 2*l - l) - 93 - 60*l**2 + 93 + (4*l + 10*l - 12*l)*(-4*l - 1 + 1) in the form i*l**2 + b*l + c and give i.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -355\/7 >= -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 820425523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 1. Let g = -27 - -30. Let z(o) = 2*o**2 + 2*o. Let y be (10\/(-40))\/((-3)\/12). Calculate g*f(r) + y*z(r).\nAnswer: 2*r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 4)*3\/2. Let y = g - 0. What is the second biggest value in 1, -1\/6, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and -551868?\nAnswer: 551867.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -1\/3*j**3 - 1\/4*j**4 - 14 + 0*j + 33\/2*j**2 - 42\/5*j**5. What is the third derivative of q(m) wrt m?\nAnswer: -1008*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1045590 and 36365.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0 - 3*x + 2 + x**2 + 0*x. Suppose 13 + 2 = 5*o. Let t be o\/((2 - -1)\/3). Give v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**28*m*(m**(7\/5)\/m)\/m assuming m is positive.\nAnswer: m**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 l when three letters picked without replacement from zzzlzzezz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74*(-42)\/3885)\/(4\/305).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 53*x**2 + 53*x + 52. What is j(54)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y - 2. Let z(g) = g + 1. Let a(i) = l(i) - 3*z(i). Let j be a(9). Let n = j + -26. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k + 33 = 5*t, 5*t + 4*k - 18 = 0. Let b be ((-2)\/4)\/(t\/12). Let i(q) = -18*q**3 - q - 1. Determine i(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14 - 0.13977. What is c rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11260279.\nAnswer: 1213, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 12:19 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 351150*d*j**3 - 43483*d*j**2 + j**3 wrt j.\nAnswer: 2106900*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(85)*3 - (sqrt(85) - sqrt(85)*-3)*-6)\/(sqrt(125) - (1*sqrt(125)*-5 + sqrt(125)) - (sqrt(125)*1*-5 + sqrt(125) + sqrt(125))).\nAnswer: 3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -29. Let z be 3\/6*-6*v\/(-3). Are 1\/129 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425766 is divided by 58.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 1225*z**4 - 43715*z**3 + 69450*z**2 + 25820*z + 680 = 0. Calculate z.\nAnswer: -2\/7, -1\/35, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/8 + 453*c**2\/8 + 675*c\/4.\nAnswer: c*(c + 3)*(c + 450)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213623 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r. Suppose -5*x - 217 = 2*x. Let m = 35 + x. Let g(q) = -m*q - 5*q + 15*q - 10*q. Determine b(g(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-36))\/(2\/(-12)). Let q be -1 - ((-7)\/(-14) + 358\/p). Let y = 131 - q. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1.4. Let z = -0.1 - -1.1. Which is the closest to z? (a) w (b) 1\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 1) + (-3744 - -3675) - (0 - 20).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352054174 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39730 + 6666 = -574*u + 25484 for u.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65295.16l to millilitres.\nAnswer: 65295160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/113499, -5, -7, -8, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.02 + -319?\nAnswer: -326.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-8) - (1 + -1). Factor 4\/7*z + 22\/7*z**2 + n*z**4 + 0 + 32\/7*z**3.\nAnswer: 2*z*(z + 1)**2*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2590*v + 5371*v + 6754*v.\nAnswer: 14715*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 436 and 10246.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19290 divided by -10\nAnswer: 1929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) + (-6)\/(-4). Suppose 0*f + 3*q + 42 = 2*f, -k*f + 56 = 4*q. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -2, 2\/3, -1\/2, -0.1, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 1. Let c(w) = -w - 7. Let a(n) = -n**3 + 6*n**2 - 7*n + 4. Let u be a(5). Let q be c(u). Let m be p(q). Round m to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1 = 3*s - 33, -16 = 3*s - 5*c. Suppose 3*q = -q + v + 227, -s*q + 5*v = -183. Does 14 divide 5\/(((-44)\/q)\/(-11))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/(6\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 16 = 96. Suppose -3*f + 4 = -5*f + 3*s, -n = -5*s. Solve f*o - 20 = -0, 3 = -j + o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 99555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*n - n + 91 = 0, 15 = 5*n. Let v be 19\/3*6\/(-1). Let h = v + s. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/3*1. Suppose 0 = 4*v - 2*v - n + 157, -5*n = -15. Let l be (8 - (-594)\/v)*2\/4. Which is the nearest to 7? (a) -0.2 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 3038?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13 - -16) + 475905\/(-158600) and -113\/20?\nAnswer: 31720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)\/c**(1\/10))**(-2\/107)*((c**(-1\/2))**(-6))**(-14) assuming c is positive.\nAnswer: c**(-247179\/5885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 47*i**2. Let o be s(-1). Suppose 3*l = 143 - o. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111.787 + -0.213. Let m = p + 111.9. What is the nearest to 0 in 17, m, -1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 10 = 5*u, -4*u + 9 = -2*y - 3*u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 - 10*n**3 - n**3 - 3*n**3 - 7 + 7 + (0*n - 4*n + 3*n)*(5*n**2 + 0*n**2 + n**2) as t*n**3 + i*n**2 + s + v*n and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + -54. What is the remainder when g is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 717*u + 149734.\nAnswer: -(u - 886)*(u + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 425 - 141 - 57*x + 64*x in the form y + o*x and give y.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-10) + (3656\/4113 - 2452\/45).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2941*f + 2860*f - 1 + 0 - 8325*f + 2730*f.\nAnswer: 206*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-45) - (-112)\/1152.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 0, -2 in descending order.\nAnswer: 1, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -7. Suppose 5*y + h = 53, -h + 12 = y - a. Calculate the greatest common divisor of 20 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31220 - 300213322?\nAnswer: -300122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -3258.34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2878.17 - -2878. What is the third biggest value in 6, m, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -593, -516, -439, -362, -285, -208?\n\"Answer: 77*i - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2033183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + (5 - (-9 + 8) - 18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by (-3*27\/6)\/(5\/(-10)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f + 91*f - 40986 = 0. What are the prime factors of f?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 149. Let w = -57 - z. Suppose 0*h = 8*h - w. Solve -3*b + h = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*p**5 + 10*p**4 + 60*p**2 wrt p.\nAnswer: -540*p**2 + 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, p: 2}. Give prob of sequence ppd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 24*q + 3. Let a be g(-24). Suppose -a*j + 6209574 + 21480426 = 0. Round j to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76099*h + 2*h**2 - 76099*h - 48)*(4*h - 2*h - 3*h) to the form k + j*h**3 + g*h**2 + a*h and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -3, -14\/5.\nAnswer: -33, -3, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 291 (base 15) to base 9\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124273 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -5, 4, -0.4, -6\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2273 = -h - 3352. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 49032*s**3 - 18387*s**2 + 73548*s + 18387. Let a(t) = 3*t**3 - t**2 + 4*t + 1. Determine 18387*a(n) - z(n).\nAnswer: 6129*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/103 - 91\/1236. Is o smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -584*g - 9. Suppose -4*i + 2*i - 6 = 0, 0 = -4*t - 3*i - 25. Is f(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3 + x**2\/2 + x. Calculate the remainder when d(6) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2705 = -t + 3*j, -3*t + 10820 = t + 4*j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 11*y - 9. Let r(o) = o**2 + 10*o - 7. Let k be r(-8). Let x = -31 - k. Is i(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 4*o**3 + 3*o**3 + 8*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*x - 5*x + 3*x)*(x**2 - x**2 + x**2) - 3*x**3 + 0*x**3 + x**3 - x**2 + x**2 + x**3)*(8 - 2*x - 8).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26920, -27239, -27554, -27865, -28172?\nAnswer: -28475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:01 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124003 and 495.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-28)*2 + 4\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 34*d - 249. Let s be u(11). Let n = -0.1 + -9.9. What is the nearest to -1 in s, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 186 = 5*z, 0 = -i - 3*z + 82. Calculate the remainder when 142 is divided by i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -5)\/(-11 - -12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2579.5*0.2.\nAnswer: 515.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2 + 2)*(-10 - 16 + 40)*(7 + 317 + 65).\nAnswer: -10892*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7*n - 18. Let a(l) = l**3 + 7*l**2 - 2*l - 8. Let o be a(n). Let u = o + -17. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.135427842 to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-3)\/36 + 30 + -30. What is the smallest value in p, -4\/9, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.82*3\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -161411.\nAnswer: 161411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (2*(sqrt(110) - (sqrt(110) - (1*sqrt(110) - sqrt(110)) - sqrt(110) - sqrt(110))))\/(sqrt(10) - sqrt(50)\/sqrt(20))).\nAnswer: -24*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, 1 y, and 1 o when four letters picked without replacement from yooocokko.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 1561633 + 598367. What is d rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, and 1 v when three letters picked without replacement from {v: 1, y: 1, m: 1, z: 1, g: 2, l: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 146 + -2?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 155*n + 224. What is y(0)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 2720696?\nAnswer: 2720693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*c + 1 + 12, -4*c + 10 = -2*i. Suppose -6 = -i*q + q. Suppose -4*h - 4*w + 127 = -9*w, -q*h + 2*w + 97 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(4*-1))\/((-135)\/216).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*l + 1 = -3*r, -4*r + 2*l - 18 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(88) + -2*sqrt(88) + sqrt(88)))\/(1*sqrt(72) - sqrt(8) - sqrt(8)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2348581, -2348625, -2348669, -2348713?\n\"Answer: -44*b - 2348537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.239 - 0.139. Let d = 0.093 - -0.307. Suppose -4*y - 5*q = -20, 2*y - 2*q + 7*q - 10 = 0. Put y, o, -1\/2, d in ascending order.\nAnswer: -1\/2, o, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljrjjljlllj. What is prob of sequence jlr?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jooq. What is prob of sequence jo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 42\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2309472, -2309519, -2309566, -2309613, -2309660?\nAnswer: -2309707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1558 + 161994?\nAnswer: 163441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/19912)\/(-10*(-4)\/8 + -5 + 1)?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 25 = 2*g. Let r be -2 + (-4)\/((-72)\/(-115)). Let u = 49\/6 + r. Which is the second biggest value? (a) g (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2793 = 3*p - 4*u, 0 = p - 695*u + 698*u - 944. What is the remainder when p is divided by 105?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) -2 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((1 + sqrt(931)*1)*4 + -3 + (sqrt(931) + sqrt(931) + -5 + 2*sqrt(931) - sqrt(931)))*-3 + -4)**2.\nAnswer: -2940*sqrt(19) + 410671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 295813560 a multiple of 3497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2404 and 755905346.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14904927.8 - -70338.\nAnswer: 14975265.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -37 + 50 + 102 + (13 - 2) + 1\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 5. Let h be k(-5). Let s(g) = g**3 + 6*g**2 + 3 + 6*g + h*g**2 + 0 - 1. What is the units digit of s(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4679313, -4679305, -4679297, -4679289, -4679281?\n\"Answer: 8*j - 4679321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**4 + 2*q**3 + q**2 + q + 1. Let t(v) = 11*v**4 + 19*v**3 + v**2 - 3*v - 72. Let b(i) = -t(i) - 5*z(i). Find the third derivative of b(h) wrt h.\nAnswer: 96*h - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011101000010101010 - 11?\nAnswer: -100011101000010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 13 + (105 - 118).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-12))\/((-10)\/45)*-1)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3)*(-99)\/(-3). Suppose 0 = 4*z + y - 820 + 333, 4*y - 617 = -5*z. Calculate the greatest common divisor of g and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1690152*u**2 + 3379996*u**2 - 1689846*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 4*s - 4. Let f be c(2). Solve 4*l - 2*z - 14 = 0, 3 = -3*z - f*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.91 - 0.09. Let c = 0.1 + 0. Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -2 (c) -3 (d) 2\/17 (e) 1\/26 (f) -3\/5 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6180\/70 + 8\/(-28). Factor 36*l**2 + 39*l**4 - 16*l + 45*l**4 - 48 - j*l**4.\nAnswer: -4*(l - 2)**2*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 - 62*d**3 - 660*d**2 - 2600*d - 2000 = 0?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 205*t + 390.\nAnswer: 5*(t - 39)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 - 9*n**2 + 15*n - 9 + 0*n**2. Let o be w(11). Suppose 5*x + 3*a - 12 = 2*x, -x = 5*a. Solve -o = -0*s - x*s - 3*i, 5*s - 15 = i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2 - r - r**2 - 4 + 4 + 3. What is the units digit of l(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (105\/(-14) - -8)*(-5 + 5). Let j(z) be the first derivative of 3\/8*z**4 - z**2 + o*z + 1\/10*z**5 + 0*z**3 - 9. Factor j(p).\nAnswer: p*(p - 1)*(p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/8)*r\/r**(-1\/3) assuming r is positive.\nAnswer: r**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -3, 61, 5, -6 in ascending order.\nAnswer: -6, -3, 5, 37, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2 - 5\/3*n**3 + 7 - 4*n. Let k be f(2). Is -21 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331986.\nAnswer: 2, 665993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006548099 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-28))\/(15375\/(-500))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 9*m - v - 6, -v = -4*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2049020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 23*v - g = 184, 4226*v + g + 22 = 4223*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liillliilillll. Give prob of picking 2 l and 1 i.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-21)*((-82)\/(-6) + -8)\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.323 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/1 + 3 + 0. Suppose f = -4*i + 54 - 18. Let b = 3 + i. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7049.\nAnswer: 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12742, 66395, 155816, 281005, 441962?\n\"Answer: 17884*z**2 + z - 5143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (6 - (861 - 8)). Let m be ((-3)\/6)\/(q\/8). Is m > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 415*j - 3070. What is q(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*z - 860 = 2161 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*g = -949*g - 4123*g - 328427 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 534, 536, 538, 540, 542, 544?\n\"Answer: 2*h + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, 112.7 in decreasing order.\nAnswer: 112.7, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.52 - 1.62. What is the closest to h in 2, -3, 0.2, -14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.0547 and 0.11244.\nAnswer: -0.231030468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4577.9 * -11\nAnswer: -50356.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezz when three letters picked without replacement from bqbzzezeezbeqez?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138 - -138.377. What is s rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*l - q - 2, -4*l - 3*q + 22 = 0. Suppose 0 = 5*s - l*s - 57. Is s 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 994.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2438876, -4877822, -7316768, -9755714?\nAnswer: -12194660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2 - -3) + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 7*o - 3*o)*(-o**4 + o**4 + o**4) + 234*o - 92*o**5 - 234*o + 0*o**5 - 2*o**5 + o**5 + (-o**4 - 2*o**4 - o**4)*(-1 + 1 + o).\nAnswer: -95*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2. Let u(m) = -33*m. Let g(y) = -14*y. Let s(a) = -13*g(a) + 6*u(a). Calculate t(s(d)).\nAnswer: 1280*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -110*b + 143 + 42 + 99*b. What is the remainder when 575 is divided by x(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3290 is divided by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 19, 2.02, 1, -0.1 in increasing order.\nAnswer: -84, -0.1, 1, 2.02, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 94\/22) + 3. Suppose r*s - 2\/11*s**2 - 6\/11 = 0. Calculate s.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4\/5, 0.05, -0.3 in ascending order.\nAnswer: -0.3, 0.05, 0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 525\/490*70 + -109?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 1)*(3*t + 4*t + t)*(2*t + 3*t - 3*t) - 1934 + 1934 - 204*t**2 to the form x*t + p*t**2 + v and give p.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + 10?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*w - 2. Calculate the common denominator of 49\/22 and (-46)\/(-10) - w\/12.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 7:41 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((6\/63)\/(11\/33))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 9. Let u be m(-8). Suppose a + 3*b = 11, -2*b = -u - 1. Let l be (a\/14)\/((-24)\/(-28)). What is the closest to 1\/3 in -0.1, -2\/13, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - 3*m**2 + 4*m - 7*m)*(-1 + 2 + 1) + 0*m + 0*m + 2*m**2 to k*m + r*m**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136336716 to the power of 1\/2, to the nearest integer?\nAnswer: 11676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 64 + 131 = 0. Calculate the highest common factor of d and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12022 (base 13) to base 7\nAnswer: -165106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Let w(f) = 2*f + 2. Let v(h) be the second derivative of h**4\/12 + h**3\/2 + 3*h**2\/2 + 9*h. Let b(a) = 2*v(a) - 3*w(a). Give x(b(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51931.8 tonnes to micrograms.\nAnswer: 51931800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 252 - 11*g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -2553205176188?\nAnswer: 2553205176186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -18*l**3 - 5*l**2 - 2*l. Let w be (44\/(-12))\/((-5)\/15). Suppose -w*q + 6 = 28. Calculate the remainder when t(q) is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7915332175.06 and 0.5.\nAnswer: -7915332174.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -13\/12, 101, 0.5, 2\/63, -0.3, 2\/5?\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:57 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g*o*q**2 + 6535*g*q**2 + g*q - 4*o*q**2 + 1342103*o*q - o - 6*q**2 - q wrt q?\nAnswer: 6*g*o + 13070*g - 8*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - f = 25, 0 = 4*f + 276200 - 276200 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19725608 or 19725603?\nAnswer: 19725608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + b - 5 = 0, 18 = 5*q - 3*q - 3*b. Suppose -z + q*z - 4 = 0. Let n = -0.01 - 0.99. What is the second smallest value in -1\/3, z, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 67860*w\/7 - 575622450\/7.\nAnswer: -2*(w + 16965)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 15*a**2 - 4*a + 6. Calculate s(-5).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w - 30. Let b be j(8). Suppose -1964 + 14 = -b*a. What is the greatest common factor of 78 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36, -72, -108, -144?\n\"Answer: -36*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 189827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25504 = -4*b - 2*n, 2*b - 3*n - 840 - 11912 = 0. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 101003343 and 101003344 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -54. Let a = x + -17. Let h be ((-4)\/a)\/(3\/(-15)). Solve h = z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 4. Let k(l) = l**2 + 10*l + 19. Let g be k(c). Determine w, given that 14*w**g + 6*w + 12*w**3 - 28*w**3 - 4*w**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let t(v) be the second derivative of v**3 - v**2\/2 - 37423*v. Give t(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3366*o**3 - 233929*o**3 - 7071*o**3.\nAnswer: -244366*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 21 = -3*x, x - 45 = -274*d + 288*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33678*y**3 - 28627*y.\nAnswer: 202068*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*d - 5, 26*r + 8*d + 35 = 25*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44590815?\nAnswer: 3, 5, 19, 52153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0798 - 0.0501. Round y to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -11.5. Let r = w + 6.2. Let y = -0.83 - 0.17. Which is the nearest to 1? (a) -2 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464083 times -80\nAnswer: -37126640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 943 in descending order.\nAnswer: 943, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p = -2*f - 3, 0 = -2*f - 4*p + 4. Let r = 15 - f. Suppose -r = -5*a + 10. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180.6 - -167. Let z = t + 6.8. Let h = 7 + z. Which is bigger: h or 0.11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2630*v**2 + 4*v. Let q(j) = -882*j**2 + j. Calculate -4*n(z) + 13*q(z).\nAnswer: -946*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/11304970 or 1?\nAnswer: -3\/11304970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 1:26 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w + 879 - 3*w**3 + 900 - 1781 - w**4 + 16*w**3 + w**2 to d*w**3 + x*w**2 + o*w**4 + b*w + z and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 5*c**3 + 25*c**3 - 6*c**3 - 10*c**3 - 3*c**3.\nAnswer: c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84396 and 3713424.\nAnswer: 3713424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8569764 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 - 13 = 0. Let k = z + -15. Let y = k - -31. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2022 and -137\/12.\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/919699139 or 0?\nAnswer: -8\/919699139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*k - 52913 = 330365. Calculate the remainder when k is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18194*v + 34047 with respect to v.\nAnswer: 18194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10355*b = 10334*b + 105 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 68 = -288 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(48 - 228 - 64).\nAnswer: -488*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68873980, -137747958, -206621936?\nAnswer: -275495914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*j + 45829 + 18773 = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -8. Suppose -2*i = 3*y - 35, 0*i - 2*i + m*y - 5 = 0. What is the common denominator of (-4)\/i + (-49)\/(-5) and 37\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 339, -108, 5 in descending order.\nAnswer: 339, 5, -8, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 26. Let b be a(-14). Let w be -8*(21\/(-6) - -3). Suppose -b*r - 706 = -w*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2746098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 13 = -45. Let o be (0 + 1)*-8*s\/8. Solve -5 = -3*u + o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(1 + (((sqrt(300) + -2)*4 - sqrt(300)) + -1*sqrt(300)*-3)**2) + -1).\nAnswer: -86922 + 7680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-1\/15))*s**(1\/10))\/(((s\/(s*s*s\/s**(1\/12))*s*s)\/s*s)\/s**(1\/6)))**(-2\/5) assuming s is positive.\nAnswer: s**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27391436 divided by 2.\nAnswer: 13695718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - 4.04. Let l be (-6 - -2) + (0 - -2). Let z be (-1)\/l + (-2)\/(-20). Which is the closest to -2\/3? (a) u (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (25 - (-6 - -19)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*-6*1\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -130*v - 523. Let r be o(-31). What is the greatest common divisor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16317 and 1512.\nAnswer: 391608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151110 + -35281. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k - 5. Let d be b(0). Suppose 0 = -4*r + l - 15, 0 = -2*r - 2*r - 4*l. Is d at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -46. Let o = 2 - 0. Suppose -3*n + o*i = -2*i - 41, 2*i = -5*n + 77. Calculate the remainder when n is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.366128ns to seconds.\nAnswer: 0.000000004366128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -3\/2, 128?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/125)\/((-10)\/25*-5)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(396)\/sqrt(108)*-4)\/(-5*sqrt(44)\/(-1*sqrt(4))).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:40 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3334808um to kilometers.\nAnswer: 0.0000000003334808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 684\/19*5\/(-40)*10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 1\/2*s**2 - 7\/6*s**3 - 2*s + 0 - 1\/12*s**4. Suppose 0 = -5*f, 0*q - f = -4*q - 20. What is r(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 18 + 34 = 0. Suppose -h - k = -5*h. Put 0.1, h, 0.2, 3\/7 in ascending order.\nAnswer: 0.1, 0.2, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 79902.75 micrograms?\nAnswer: 79.90275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32421456*w**5 + 110184*w + 59.\nAnswer: 648429120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -22*t - 918. What is the lowest common multiple of 27 and l(-42)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5994 and 1936062?\nAnswer: 1936062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(240\/1134) + 24.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741222343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**3 + o**2 - 3*o + 4. Let i be h(2). Let l(v) = -i*v + 0 - 7 + 44*v + 3. Does 24 divide l(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ffbc (base 16) to base 12\nAnswer: -63990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 569214033 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933770066?\nAnswer: 2, 3, 322295011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 divided by 1.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4c (base 13) to base 16\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.76257932 rounded to 2 dps?\nAnswer: -6.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 373852 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/(1\/(-4)*21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8413394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 36*q + 280 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 times 16043.92?\nAnswer: -2101753.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -146 + 163 - (10 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-5))\/((-36)\/(-12))*-75?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/12 - r**3 + 5*r**2\/2 - r. Let c be j(-6). Suppose c*h + 51 = 156. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -367?\nAnswer: -32\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151 (base 11) in base 15?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 30*p - 136. Let d be b(24). Suppose d - 52 = -4*r. Calculate the remainder when 29 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - x - 1. Let y be o(-1). Let k be 77\/(-63) + (-2)\/(-9). Let w be (-1)\/2*10\/k. Sort 2, w, y in decreasing order.\nAnswer: w, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 0 + 11\/((-594)\/(-154632)). Let p = 2864 - f. Find the common denominator of p and -131\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 7. Let r be (-8)\/d + 68\/11. Suppose o - r = 79. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 7445713.\nAnswer: -13\/7445713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - -1 - (-3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 5*s + 3. Let m be h(5). Suppose 36*d = 39*d, 2*l + m*d - 104 = 0. What is the greatest common divisor of 338 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y**3 - 4*y**2 + 7*y - 10. Let p be u(2). Let o be 4\/((-4)\/p*-5). Calculate the highest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 384\/112*(-98)\/(-4). Calculate the greatest common factor of 294 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2998147484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(125\/(-20)))\/(4\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 45. Solve -3*v = c*n - 19, 4*n = 9*n - v - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (-6*sqrt(605)\/sqrt(396))\/(sqrt(77)\/(sqrt(1008) - ((sqrt(1008) - sqrt(1008)*-3) + sqrt(1008)))) + -1.\nAnswer: 1 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p = -204. Suppose 4*i + p = 2*x, i = -2*x + 2*i + 83. Let s = x + -28. What is the smallest common multiple of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 7.4?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 24*i + 135. What is l(22)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**8*w*(w**(-1\/9)*w)\/w*(w**(-2)*w)**(-28))**(7\/3))**(17\/5) assuming w is positive.\nAnswer: w**(39508\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191090\/4334 - (-2 + 138\/66).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, and 1 f when three letters picked without replacement from {h: 1, w: 6, f: 1, l: 7}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 560, 854, 1172, 1520, 1904, 2330, 2804?\nAnswer: 3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*n - 2. Let m be (2\/4)\/(3\/6). Does n = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-56)\/(-245))\/(-4))\/((-4)\/4)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 593325 + -339172. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 53, -1\/5, -5\/4 in descending order.\nAnswer: 53, 0.1, -1\/5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 + 10*d + 13. Let x be y(6). Is x >= 4\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1279*c**2 - 2*c + 1205*c**2 - 26 - 2454*c**2 + 4.\nAnswer: 30*c**2 - 2*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -598, -590, -576, -556, -530, -498?\n\"Answer: 3*x**2 - x - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v + 9. Let n = 3 - -3. Let q be ((-6)\/(-4))\/(9\/12). Suppose -q*b = 4, 0 = g + b + 4 - n. Let a(j) = -5*j + 5. Determine g*u(h) - 7*a(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2.2. Let n(w) = w - 4. Let q be n(1). What is the smallest value in q, m, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(180)).\nAnswer: -3 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)*q*q**(3\/2)*(q*q*q**5*q)**5 assuming q is positive.\nAnswer: q**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(4 - 1 - 5)*(-3 - 38*v + 79*v + 13*v).\nAnswer: -108*v + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Let w = 7393 - 7355. Suppose -3*m + 5*c + 105 = s, 2*c + 118 = 5*m - w. What is the highest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 484\/22*532\/(-418).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -492, -2851, -8932, -20595, -39700, -68107, -107676, -160267?\n\"Answer: -310*z**3 - z**2 - 186*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-9)*y))\/y**7 assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.433515 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 420*u**2 - 36701*u + 655. What is a(-296)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 407645561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/24 + o**3\/6 - 8*o**2 + 11*o. Let v(b) be the first derivative of t(b). Calculate v(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -9*o + 87*o - 1001 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5730 and 241070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 551*s - 874. List the prime factors of r(37).\nAnswer: 13, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 18 + -14 + -5 - -10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**5\/20 + t**4\/2 + t**3 + t**2\/2 - 9*t + 8. What is w(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 136038837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 563185657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/3 (c) -4 (d) 3 (e) -1\/5 (f) 816 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnnnrrnnnnnrnunrrrnn. Give prob of sequence nnr.\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a**2 - 9*a**2 + a**2 + 3*a**2 + 0*a + 0*a + (-2*a - 1 + 1)*(-4 - 3*a + 4))*(991 + 2*a**3 + 3*a - 991).\nAnswer: -20*a**5 - 30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*j + 985, 11*v + 4*j - 4925 = 6*v. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(88)*-3 + sqrt(88)))\/(3*(sqrt(8) - sqrt(392))).\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9934125 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - 147*w + 301*w + 4*w**2 - 610 - 155*w.\nAnswer: -w**2 - w - 610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/((j\/(j\/j**(-10)))\/j))*j))**(-3\/28)*(j\/(j**23\/j))\/j**(-4\/3))**(2\/27) assuming j is positive.\nAnswer: j**(-1751\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 716888 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 0)*1)**2 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 + 11\/(-1) + 2. Sort -2\/5, n, 1, 0.13 in ascending order.\nAnswer: -2\/5, 0.13, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 2:54 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 176 = -24*t. Let a = 2 + t. Calculate the smallest common multiple of (-2 + 18)*3*a\/18 and 1.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 23 = -2*p, -2*p - p - 4*r - 51 = 0. Let w be 8\/(-2) + (-26)\/p. Let f be 0\/(3 + w - 0). Solve f = -0*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3301*b + 479*b + 2058*b to l + d*b and give d.\nAnswer: 5838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.59 + -0.29. Which is the closest to 2? (a) 4\/7 (b) -2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3 = 2*j, 5*j - 29 = v - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, 116, 0.5, -26, -7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -459 - -76?\nAnswer: -3b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823, 6704, 22663, 53740, 104975, 181408, 288079, 430028?\nAnswer: 612295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 13*m**4\/24 - 6*m**2. Let l(u) = 2*u**2 - 4*u + 2. Let r be l(2). Let s(q) = -2*q**2 + 7*q**2 - q**2 - r*q**2. Give s(c(w)).\nAnswer: 338*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Let y = -0.0000007 - i. What is y rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 4*h + 8. Let z be d(-3). Let t be (3\/z)\/((-45)\/(-150)). Solve 0*m = -t*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**5 + 3*z**5 + 0*z**5 + (-2*z + 0*z + 0*z)*(-2*z**4 - 2*z**4 + 5*z**4) - 3*z**3 - 2*z + z**4 + z**5 - z**4.\nAnswer: -4*z**5 - 3*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 5412354\nAnswer: 2\/2706177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33389 is divided by 8335.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*i - 3434 = 11174. What is the greatest common divisor of i and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + z + 22. Suppose -2*f = 2*b - 2, 3*b - b + 5*f = -10. Let t be a(b). Solve 5*n + 5 = t*k, k + n - 1 + 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -67498 - -165?\nAnswer: -67333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 112. Suppose 8*s - 29 + 5 = 0. Suppose s*z - 17 = 4*z - 5*b, 5*z = -3*b + 55. What is the highest common divisor of z and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2. Let n(u) = -730*u - 3. Give z(n(s)).\nAnswer: 3730300*s**2 + 30660*s + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/2)\/(17\/(-17))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1446 + 38?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**5 + 25*p**4 + 810*p**3 - 6700*p**2 + 9320*p + 16800 = 0.\nAnswer: -14, -1, 4, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -19*j. Suppose -5*x + 6 = c, 5*x - 6*c - 3 = -4*c. Solve -h = -j*h + x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2. Let v(l) = -4*l**2 - 4*l**2 - 3*l**2. Give k(v(z)).\nAnswer: 242*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 335 + -333. Put -10, z, 3 in descending order.\nAnswer: 3, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*h - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1850191\/8495 - -4\/1699. Let f = 218 - g. Factor 0 - f*u**2 + 0*u.\nAnswer: -u**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 32*z - 163. Let n be i(6). Suppose -35*u = -n*u - 6054. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-1 - -2)\/1. Suppose -9*v = -6*v - 24. Sort a, v, 4 in ascending order.\nAnswer: a, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - r + 2 - 10 - 3*r**3 to o + w*r + t*r**3 + u*r**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 x when three letters picked without replacement from {x: 4, n: 2, p: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 2*h**2 + 6*h - 2*h**2 + 2*h**2. Let w(t) = -t**2. What is l(w(f))?\nAnswer: 2*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1759 - 1751. Solve 8*b - 16 + r = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2, 2558, 3\/2, -0.01, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 128412*1\nAnswer: 128412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(1100) + sqrt(1100) - (sqrt(396) - -2*sqrt(396)*1).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryyynxyx. What is prob of sequence yrxx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2397959, -4795963, -7193965, -9591965, -11989963, -14387959, -16785953?\nAnswer: -19183945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -62*p + 52*p. Solve 3*i + 2*g + 7 = 0, i + 0*g = -p*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a. Let s(q) = -3*q + 16. Let r be s(9). Is i(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxj when three letters picked without replacement from {l: 3, x: 2, j: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/1*(-3)\/6. Let u be -4*(0 + -2 + a). Solve -u*i - 4 + 0 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4766 divided by -1208\nAnswer: 2383\/604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1575430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkp when three letters picked without replacement from mskpmmsmmsvkpms?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - (-19 + -11) - (-5 + 11).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 78, 12.1, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -564\/119 - -34\/7. What is the nearest to 1 in h, 0.4, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7139 divided by -2?\nAnswer: -7139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 676 - 1189. Let z = m + 522.97. Let s = 10 - z. Which is the third smallest value? (a) -0.5 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209504 divided by 4\nAnswer: -52376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 21\/2*b**2 + 0*b**5 + 0 + 3\/2*b**4 + 228*b + 1\/6*b**6 + 0*b**3. Differentiate u(t) wrt t.\nAnswer: 20*t**3 + 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.67002 - 0.17002. Let h = 0.23 - 0.23. What is the third biggest value in h, o, -1.6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/42 and 52\/9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 23.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -387 + 31?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 z when four letters picked without replacement from zgzzizgzizz.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 243430 divided by -22130\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 7*w + 0*w**2 + 2 + 3. Let o be z(6). Let f = -4 - o. Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3))\/t*t*t**5)**36*(t**(-2)\/t*t)\/t*t*t*(t*t**(6\/7)*t)\/t*t\/t**8*t**(1\/15) assuming t is positive.\nAnswer: t**(10702\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 2*o + 0*o**2 + o**2 + 2*o**2 + 3*o**2 - 4*o**2 - o**2 - 1 + 1 + (0*o + 0*o + 2*o)*(-1 + 2*o + 1) to the form y + r*o**2 + p*o and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.065 and 369?\nAnswer: 369.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by (-45)\/((-195)\/20 + 1*9).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 20842 + 20831 = -5*o, -21 = 4*b + 5*o for b.\nAnswer: -4","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 ppjjjjpjppppjpjp.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2872 - 2874. Sort 75, 0, l in descending order.\nAnswer: 75, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**5\/60 + m**4\/6 + 2*m**3\/3 - 17*m**2\/2 + 104*m. Let z(i) be the first derivative of g(i). Calculate z(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 times 26\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*x + 280*x + 733*x + 23310 = 0 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -24*w**3 - 8*w**2 + 2*w - 11. Is 63 a factor of x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 110*i**3\/3 - 994*i**2\/3 + 1576*i\/3 - 56\/3 = 0?\nAnswer: 2\/55, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -27, 2 in decreasing order.\nAnswer: 7, 2, -27","meta":{"dup_signals":{},"source":"comparison__sort_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: What is 75\/2 of a century in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 + -0.156. What is v rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*k - 50 = 0, -2302 = -4*q + 458*k - 580*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (17 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1681aa4 - -27?\nAnswer: -1681a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) -1.1 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -32221000?\nAnswer: -32220333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f + 231. Determine n(9).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2012532.\nAnswer: -5\/2012532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q - 1. Let d(k) = 11*k**2 + 8*k + 6. Give -d(a) - 6*s(a).\nAnswer: -5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from {c: 3, z: 4, k: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7685.0376 - 7697. Round i to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 68*h + 482. Is l(-44) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 5 + (-135)\/50. Let j = 31\/20 - k. What is the nearest to -0.3 in -0.1, j, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/108 + 71\/3132. Let f be (-122)\/2 - 3\/((-15)\/(-20)). Let p = -65 - f. Which is bigger: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -717\/41 - -3299\/123. Let p(t) be the first derivative of -16*t + 12 + 1\/6*t**4 + v*t**2 - 20\/9*t**3. Determine l, given that p(l) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11215201 + 2?\nAnswer: -11215155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709359 is divided by 326.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wquwvvvuuquuq. Give prob of sequence uqw.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006430632 rounded to 4 decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y = 24*y + 235 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -37?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - -42. Let t = 135 - v. Solve -4*i - 8 = -t*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**2 + 6*y - 2. Let g be j(4). Let p = g + -398\/3. Let k = -0.301 - 0.699. What is the third smallest value in k, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1998 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, 524, 410, 294, 176, 56, -66?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/2 + 8*k**3\/3 - 3*k**2 + 79. Factor x(b).\nAnswer: -2*b*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 9*k**2 - 6374*k - 76094. Determine t(-12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = 0, -3*d = r - 4616 + 21. What is the highest common factor of 4896 and d?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 4. Let k(l) = -l - 9. Let z(u) = 4*k(u) + 9*m(u). Let w(x) = 2*x - 4. Let o(t) = 6*t - 14. Let p(s) = -4*o(s) + 14*w(s). Determine z(p(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(200))*-3.\nAnswer: -30*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/9)\/(11\/60). Let p = -12\/11 - y. What is the third smallest value in -5\/2, p, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(3\/(-2) - -1). Let j = 0 - y. Suppose 4*u - 2549800 + 66549800 = 5*t, 51200000 = j*t + 4*u. What is t rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29330*w**2 + 72 + 29330*w**2 + 4*w**3 + 29328*w**2 - 87988*w**2.\nAnswer: 4*w**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*m + 14, 22938*m = 22953*m - 30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from vevvevvv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 228*n**2\/5 + 5487*n\/5 + 40362\/5.\nAnswer: 3*(n + 14)*(n + 31)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(11)*4 - (sqrt(275)\/sqrt(5))\/sqrt(5).\nAnswer: 4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaj when three letters picked without replacement from {a: 4, j: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27196.\nAnswer: 2, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.05512, -3, 1.5, 0.4, -14, -1, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -2, -2\/75453, -4, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or -163?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 182903720 divided by -22862965?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -207562\/7 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 0*l**4 - l**4)*(290*l - 1038 - 1044 + 2147).\nAnswer: -580*l**5 - 130*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 34 = -7*g, -415*m - 2*g = -417*m + 20 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374351818?\nAnswer: 2, 23, 8138083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 967435707?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 767 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 395.7936t in grams?\nAnswer: 395793600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w - 5*w + 1 + 0 + 0*w. Let j be b(-4). Let f(l) = l**3 + 4*l**2 - 6*l - 1. Let y be f(-5). Solve y*v + 0*v + 3 = -h, j*v - 15 = -5*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-20))\/(78\/(-15))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 160 = -28*z. Let s = z + -42. Let v be (11 - 11)*(-1)\/s. Solve v = -2*k - 0*k + 2*l + 8, 12 = -4*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10024 - -22.\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -560.8 and 315109932.\nAnswer: 315109371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*u + 4, 0 = j - 5*u - 9 - 1. Let o be -1 + j + 0 + 0. Let q be 15\/(-28) - ((-39)\/12 - -3). Which is bigger: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Let g be -9 - 2\/(1 - z). Is (-1139)\/g - (-10)\/35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -15, -28, -57, -108, -187, -300?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-6)*(2 - -1). Let q = 2 + -3. Let s be (-2)\/(-1 + 3\/6). Sort q, s, w.\nAnswer: w, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2797, 11349, 25597, 45535, 71157, 102457, 139429?\n\"Answer: -k**3 + 2854*k**2 - 3*k - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, 0.4, -1\/3, -46 in descending order.\nAnswer: 0.4, -0.3, -1\/3, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 - 4. Let a = 0.179 - -7.521. Let z = a + -8. What is the nearest to j in z, -1\/7, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1946890 and -99\/90104.\nAnswer: 54512920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = 2*k + 24860. Let y = 3779 + k. What is y rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 9, 10, 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1 - 1 - 4 + 12*r - 7*r - 7*r**2. Let u(x) be the first derivative of 10*x**3\/3 - 7*x**2\/2 + 6*x + 113. Calculate -7*o(g) - 5*u(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 1857 + 3703 + 6*p**3 - 5*p**3 - 1845.\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72071.\nAnswer: 97, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23997.54441 take away -0.038089?\nAnswer: 23997.582499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -46. Calculate the remainder when (20\/10)\/(1 + 68\/(-70)) is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4 + 2 + 7*v**2 + 1 + 2*v. Let y(g) = 22*g**2 + 7*g - 2. Let x(w) = 14*t(w) - 4*y(w). Differentiate x(n) with respect to n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.7. Let y = 5.01 + -0.01. Let d = y - 5.4. Which is the second biggest value? (a) d (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**6\/11 + 126*d**5\/55 - 27*d**4\/2 + 62*d**3\/11 + 450*d**2\/11 - 4625. Find a, given that m(a) = 0.\nAnswer: -25, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109760767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 - -122.96. Let v = t - -0.94. Which is the second smallest value? (a) v (b) -2\/15 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348810019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -17. Let x(o) be the first derivative of -o**3 + 43*o**2\/2 - 79*o - 270. Let g be x(12). Are u and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * 364256.\nAnswer: 9106400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k + 0*k)*((3 + 3 - 4)*(-1 + 3 + 0) + 3 - 4 - 2 + 5 + 1 - 2 + (2 + 3 + 10)*(-2 - 3 + 4)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25491, -203874, -688079, -1631016, -3185595?\nAnswer: -5504726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -w + y + 3*y, -4*y - 18 = w. Let f(v) = 1332*v**2 - 2*v + 7. Is f(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -4*d + 31. Suppose 4*f - 88 = -b, 3*b = -5*f - 11 + 128. What is the remainder when d is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2897 - -8587\/3. Let u = 36 + x. What is the closest to -2 in -2\/21, u, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let z(q) = 885554765*q**2. Give a(z(g)).\nAnswer: -784207241814205225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3796454, -3796393, -3796332, -3796271, -3796210?\n\"Answer: 61*q - 3796515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601 is divided by 146.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**9\/20160 - c**8\/26880 + c**7\/3360 + c**6\/2880 - 11*c**4\/12 - 2*c. Let m(w) be the third derivative of i(w). Factor m(z).\nAnswer: -z*(z - 1)*(z + 1)*(3*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 37 - 57 = -2*o, 5*o = 5*q - 190. Let p = -48 - -31. Let j = p + q. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 1626*p - 133767144.\nAnswer: 3*(p - 6412)*(p + 6954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 579651447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/357940 and 1\/71588.\nAnswer: 357940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -27. Let t(g) = -g**3 - 3*g**2 + 4*g + 1. Let x be t(-4). What is the closest to x in z, -5, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 91 in descending order.\nAnswer: 91, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2813 - -19639\/7. Find the common denominator of y and (2\/(-4))\/(15\/50).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.32393227 to one dp.\nAnswer: 104.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32430228.42804 less than 0.9?\nAnswer: -32430227.52804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j\/(j**11*j))\/j*j*j**(-2\/25)*(j**11)**(-19) assuming j is positive.\nAnswer: j**(-5452\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 0.148 (c) -4.1 (d) 115 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n**3 + 56*n**2 + 32*n - 290. Let r(h) = 5*h**3 + 27*h**2 + 14*h - 145. Let q(j) = 2*g(j) - 5*r(j). Give q(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28*11\/(308\/(-24)). Let f = c - -3. Let x = -17 - f. Solve g = x*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -15. Let b = 12 + q. Solve b*a + p = 12, -p = p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 442\/208*(-3)\/2 and -61\/1184.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-1.024\nAnswer: -1.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwww when four letters picked without replacement from wwizicwcwwiiz.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54503.\nAnswer: 54503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((0 + sqrt(700) - sqrt(700) - sqrt(700) - sqrt(700) - 1*sqrt(63)) + -3 + 4)*-6.\nAnswer: -30 + 690*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.25 less than 106244?\nAnswer: 106151.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, -43, -8, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 868 - 247 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43590611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -122, -245, -330, -359, -314?\n\"Answer: 3*y**3 + y**2 - 147*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (303\/(-9))\/((-13)\/117)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -92.95. Let c = -2283 - -2197. Let u = j + c. What is the third smallest value in u, -3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 930819.63 + -930820.63000078. Let f = b + 1. Round f to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - (14 - 8)) + 40\/(-22). Suppose -2*c + 39 - 9 = 0. Let a be 2 - (18\/c)\/2. Put -1\/2, a, j in increasing order.\nAnswer: -1\/2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23109136 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -1\/6, 1\/4, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4508 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 11:38 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378015344 is divided by 1347?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + -1 + 5)*2\/5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - l**4)*(-1 - 2 + 1)*(-16 - 18 + 5) + (-3 + 3 - 2*l**4)*(3 - 14 + 4).\nAnswer: -44*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/5)\/(x*x\/x**4*x))\/(x**(-1))**(-34))**15 assuming x is positive.\nAnswer: x**(-483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4 + 1. Let p be (2 - 14\/a)*5. Let z(v) = 2*v**3 + 4*v**2 + 8*v + 10. Let c be z(-2). Sort c, p, 0 in increasing order.\nAnswer: c, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164 - 2328 - 2*h + 1164.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/3 - 13166*x**2\/3 - 39505*x\/3 - 26338\/3 = 0.\nAnswer: -2, -1, 13169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*d - 25 = 0, 3*p - 4*d = 8 + 28. Suppose 4 = -7*h + p*h. Let x(l) = 3*l - 4. What is x(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2 - 2*b. Does 22 divide a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39912 is divided by 94.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19616021?\nAnswer: 19616021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84)\/sqrt(3))\/(5*sqrt(4)*-1))**2 + sqrt(56)\/((sqrt(40)*-1 - sqrt(40))\/sqrt(5))*-1.\nAnswer: 7\/25 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**3 + 12*i**3 + i**2 + 4*i**3 + 4*i**3 - 14*i**2 to v*i + r*i**3 + p*i**2 + s and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 - 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 20*w**2 + 2*w + 25. Calculate l(20).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(228)*-2*-4 - sqrt(228)) + sqrt(228) - sqrt(228))\/sqrt(12)*-4*1)**2.\nAnswer: 238336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 466*s**4 - 382 wrt s.\nAnswer: 1864*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avxc when four letters picked without replacement from {a: 1, x: 5, c: 1, v: 13}?\nAnswer: 13\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = -3*z + 31212. What is the highest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 5*r + 2. Let q = 3 - 0. Let g be 2\/(5 - 3)*-1*2. Let l be (-4)\/g - (q + -6). Give d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (14 - 19 - -14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1127 - -1448. What is the remainder when y is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 752\/36 + -2 - (-10)\/90. Solve n*a - 41 = -3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**2 + 2*m**2 - 3*m**2)*(-1 + 3 - 1)*(-134 + 294*m - 132 + 266) to n*m + w*m**3 + a + b*m**2 and give w.\nAnswer: -1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13525 - 13483.447. What is h rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212953 is divided by 30411?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3477\/28 - -52975\/308. Let n = v - 48. Suppose 4*k - 7 = 5*j + 7, -4*k - 3*j - 2 = 0. Is k at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + -3*2*sqrt(76) - (sqrt(76)*1*-5 + sqrt(76)))\/(2*sqrt(8)\/sqrt(2) - sqrt(4)*2*-3))**2 + 4)*-1*1.\nAnswer: -275\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/16, 1145, 7?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y + 1. Let w = -237 - -376. What is the remainder when v(-6) is divided by 6\/(-16) + w\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/2)\/(16 + -18)*3\/((-480)\/(-512))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -15. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7343 is divided by 1833.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 44620280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*a - 12 = 0, 0*m + 2*a = 2*m + 12. Let d be 5\/((-5 + -1)\/m). Put 1\/2, 0.02, d, -2\/25 in increasing order.\nAnswer: -2\/25, 0.02, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -73.3. Let i = -15 + j. Let z = -0.3 + i. Which is the nearest to z? (a) -3 (b) 0.3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12 = 4*h, -4 = -3*h - 5*x + 5. Let v be (40 - (0 + -3)) + -2. Suppose 0 = -3*r + 4*j + v, 46 = -0*r + h*r - 5*j. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53883589 to the nearest integer?\nAnswer: 7341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1689*h - 561*h - 565*h - 563*h + 3005*h**3.\nAnswer: 3005*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2952)\/16)\/41*(-10)\/12\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:30 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)*q*q**(-2))\/((q\/q**0)\/(q*q**6)))\/((q**0)**26\/((q\/(q\/(q\/q**(-6))*q))\/q*q\/(q**(-7)\/q*q)*q*q*q*q*q)) assuming q is positive.\nAnswer: q**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.043 and -0.04.\nAnswer: 12.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 1. Let z(s) = 14*s + 6. Let n(i) = 6*l(i) - z(i). Let a(g) = 25*g - 2 - 54*g + 2 + 26*g. Determine n(a(d)).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 819 + -581. Let q = j - 148. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 0.2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4194 divided by -6.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11644, -11647, -11650, -11653, -11656, -11659?\nAnswer: -11662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120 (base 3) to base 2.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/12 - 49*c**3\/3 + 338*c**2. Let l be b(5). Suppose 2*w + 5*f = -201, -w - 3*f - 98 = -f. Is l less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 2. Let r(s) = 160*s + 6. Let o(j) = -58*j - 2. Let y(q) = -11*o(q) - 4*r(q). What is 2*c(m) + 3*y(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, y: 1, c: 2, h: 1, j: 1}. Give prob of sequence zc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 7*d + 9. Let t be w(6). Which is smaller: 76 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(189)\/sqrt(3) - (1 + sqrt(3087))) + -4)**2*-5.\nAnswer: -11465 - 900*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7645 - -7673) + 6 + 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96289120 is divided by 246.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -239*v + 32. Let a be (4\/8)\/(5 + (-21)\/4). What are the prime factors of o(a)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -49*q**2 + 1126*q + 25. Give o(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305 - 290. Solve 0 = 2*j - 7*j + n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -11. Suppose -3*i = 4*k - 33, 2*i + 43 = h*i + 5*k. Suppose 4*o - 5 = 5*o, 5*s + o = 90. Calculate the remainder when s is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49758, 49782, 49816, 49860, 49914?\nAnswer: 49978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 6:14 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2199.63772 to one decimal place.\nAnswer: 2199.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k - 2. What is the smallest value in -1, k, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 - 436*k**2 + 1301*k - 866 = 0.\nAnswer: 1, 2, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 220341, 440749, 661147, 881529, 1101889, 1322221?\n\"Answer: -u**3 + u**2 + 220412*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzyzwywwww. Give prob of sequence wzy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -6*z + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 - 28\/(-8). Let m be 60\/16 + 1\/f. Solve 5 - 6*q**2 + 2*q**m + 2*q + 10*q**3 - 1 - 12*q**3 = 0 for q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470688383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13001 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -6*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -491712 * 18.\nAnswer: -8850816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018011324 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95 or -12?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/l*l)\/(l*l**(-3\/5))*l**(-2)*l\/l**(-3\/4))**(25\/6) assuming l is positive.\nAnswer: l**(335\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -7, 5, 135, -0.0375?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*q**2 + 133*q**3 + 133*q**3 + 8*q**2 - 295*q**3 as u*q**3 + m*q**2 + n*q + v and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r. Let q be (-48)\/21 - (-2)\/7. Let h = -29 - -18. Let u(s) = s - 2. Let a(m) = -6*m + 11. Let g(x) = h*u(x) + q*a(x). Determine g(b(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (5\/(15\/23) - 86\/129)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 3*f**2 - 5*f - 15. Let s be t(-5). Suppose s*v - 31*v - 174 = 0. Solve -v = -10*b - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 38*b + 7. Determine j(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7)*1 - (-46)\/14. Suppose -15 = -4*x - 4*w + w, -w - 21 = -f*x. Let l be (11 - (1 - -2))\/2. Solve x*y + l = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -923220 - 0.1?\nAnswer: -923220.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*z - 29 + 62 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -2406.\nAnswer: -2409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by 6.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 10*j + 3. Let f be n(-6). What are the prime factors of (3 - 1)*f\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 933, 1357, 1781, 2205, 2629, 3053?\n\"Answer: 424*n + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -215.6108 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b. What is the tens digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.99871 times 6?\nAnswer: 11.99226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -347053.8 - -347054. Let u = -1 - 0. Which is the closest to m? (a) 1 (b) -0.1 (c) u (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 11)\/2*51\/(-85). Solve 5*o - 10 = 3*d, 2*d - 3*d = -w*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, n: 3, z: 3, p: 1, w: 1, k: 3}. What is prob of picking 1 w and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/3*12*(-18)\/(-36).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/19 + 600*l\/19 - 45000\/19 = 0. What is l?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*m + 13404, 3*c = -c - 4*m + 13420. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -878691\/566 - -3105\/2. Let w = u - -10183\/6792. Calculate the common denominator of 3\/4 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -68 - 92 - 32 + 29 - 118*d. List the prime factors of j(-5).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/2 - 4. Let h = -1.99 - 0.01. What is the nearest to h in x, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1 + 1 - t - 6. Let x(a) = -20 + 48 + 5*a - 1 - 6. What is 11*s(d) + 2*x(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 6. Let d(t) = -2517*t**2 + 2*t - 861. Let x(p) = -d(p) + m(p). Find the second derivative of x(i) wrt i.\nAnswer: 5036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010 (base 2) in base 5?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 49*1 - (2 + -11 - -8). Suppose -3*k - h = -176. Suppose 4*o + 5*s = -0*s + 497, 3*o - 2*s - 367 = 0. Calculate the remainder when o is divided by k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Suppose 0*i - 2*i = y, -3*y + 5*i + 44 = d. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89152680 is divided by 841063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 77. Let u be c(25). Suppose 3*a = u*a. Let m(v) = -v + 11. Give m(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = -2*n + 4*n, -3 = -n + 2*o. Suppose d + 0 - n = 0. List the prime factors of -3*59\/(-9) - (-1)\/d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**5 + 14*u**4 + 5*u**3 - 10*u**2 + 8*u. Let b(g) = -11*g**5 + 29*g**4 + 11*g**3 - 20*g**2 + 18*g. Let v(s) = -4*b(s) + 9*q(s). Factor v(r).\nAnswer: -r**2*(r - 10)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.1*-172.\nAnswer: 4317.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -0.3, 1\/5, 3, -5.357?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106\/17 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r - 2*r + 4*r)*(-20 - 8 + 5) + (5 - 4 - 7)*(5*r - 5*r - r) to the form m + a*r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 2*k + 1108 - 1059, -37 = -4*c - 3*k for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2570 is divided by 217?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/11))**41*(u*u**(-2\/11))\/(u\/u**(-10)))**(14\/3) assuming u is positive.\nAnswer: u**(-2716\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -38.5, 1, 0.4, -7.04 in descending order.\nAnswer: 1, 0.4, -2, -7.04, -38.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 17*p - 8. Let l(d) = -50*d + 21. Give -11*j(n) - 4*l(n).\nAnswer: 13*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/24)\/m)**(-38)\/(m**(-11\/3)*m)**(-30))**30 assuming m is positive.\nAnswer: m**(-2615\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 23383140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.3185*0.016\nAnswer: 0.021096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*n + 22 = -6*n, 2*u = 5*n + 46. Suppose -2*j = -4*a + 5*a - 11, j - 16 = -a. What is the lowest common multiple of a and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -608?\nAnswer: 608.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.95+-2\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 894 = 114. Calculate the highest common divisor of 48 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.8 - 1.6. Let r = -9.6 - v. What is r rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7808)\/1342)\/32 - (-298)\/(-176)*1?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 3, q: 7, o: 1, f: 1}. Give prob of sequence lkq.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 286 = -2*z, -3*z + 141 = 5*r - 238. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 0)\/(-2) + 2. Let q = -280 + 259. Let i be 2\/(-12)*q - (5 + -3). Sort 5, c, i, -3.\nAnswer: -3, i, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - d - 16 = 0, 0*m - m - 13 = -2*d. Let l(o) = o + 12. Let f be l(m). Solve -z**5 - 2*z**5 - f*z**4 + 0*z**5 + 0*z**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163962 > 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29103768 and 8856?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddzddddzzzddddddz. What is prob of picking 1 z and 3 d?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + t**3 + 3*t**3)*(t**2 + 0 + 0 + 4 - 4 - 6*t**2 + (-1 + 0 - 1)*(t - t - 2*t**2)).\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.92 and 188.\nAnswer: 194.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9230771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.11054935179 - 4.\nAnswer: -53.11054935179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q - 2. Let b be v(1). Suppose -50 = -b*d + 106. Calculate the greatest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(19\/2)\/(v**6\/v**(4\/3))*((v\/(v*v\/v**1))**(3\/2))**(-6\/19) assuming v is positive.\nAnswer: v**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 29*x + 22. Let u be w(29). Find the common denominator of -89\/22 and (-1)\/(-8)*56\/u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 69 - 3. Let z be (-266)\/(-3) - 4\/6. What is the greatest common factor of q and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**4 + 1938*l**3 - 301872*l**2 + 595968*l = 0.\nAnswer: -776, 0, 2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 + 10*j - 3. Let o(n) = 21*n**2 + 39*n - 13. Calculate 6*o(f) - 26*s(f).\nAnswer: -4*f**2 - 26*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -326 divided by 10\nAnswer: -163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 4, -5, 25, 1 in decreasing order.\nAnswer: 71, 25, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 344007371, 344007368, 344007365, 344007362?\n\"Answer: -3*h + 344007374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -977.4 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 5*f - 1. Let v be k(-5). Let d(w) be the second derivative of 7*w**4\/12 - w**3\/3 - w**2\/2 - 8612*w + 3. Calculate d(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 535035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(119)\/(sqrt(7) + 1*sqrt(7)) + -5 + -2*sqrt(1700) + -3 + 4.\nAnswer: -39*sqrt(17)\/2 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 7*d + 8. Let a be q(-6). Let f(u) = -18*u**2 + 16*u**a - 2*u + 2*u. Let w(y) = 2 + y**2 - 2. Give w(f(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -8, 4, 1, 735, 2\/11, 3\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(260\/25)*2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 0, -10, -34, -78, -148, -250?\n\"Answer: -p**3 + 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 5. Let y(s) be the second derivative of -s**2\/2 - 5*s. Calculate o(m) - 3*y(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22791176 to the power of 1\/2, to the nearest integer?\nAnswer: 4774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -563 + 576. Solve 11*d + 20 = -f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-20) + 42660439\/2. Suppose -5*g + 8 + 2 = 0. Suppose -g*i = 2*t + 55999996, -4*t = -2*i - y - 34669788. Round i to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -108*m**2 - 45 + 24 + 21 - 1 - 2*m**2 + 1 + (6*m - 3*m - 2*m)*(0*m + 0*m - m).\nAnswer: -111*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 6, -9, 0.3, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23031 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 4037.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36378*f - 5 = 36383*f - 10*d, f = 2*f + 3*f - 5*d - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5 - (9 - (-11 - -9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 10. Let s be c(5). Let h be (0 + 2)*s\/(-4). Let g = 4 - 4. Which is bigger: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3 = -5*v, 0 = -15*v + 32*q - 28*q + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/((-8701)\/452))\/((-1 + 0)*-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -2*g - 6, 82*y - 4*g = 84*y + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-22)\/4)\/(-5 + -1) - (-60)\/72?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.1. Let t = 289 - 291. Put 5, r, t, 3\/2 in decreasing order.\nAnswer: 5, 3\/2, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.95745 minutes in hours?\nAnswer: 0.2159575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - y - 34, -y - 4 = -0*y. List the prime factors of (-80)\/(-6)*p\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/4 + (-21681)\/(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2978112 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 - 179. Calculate the remainder when t\/(0 + (-6 - -4)) is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**10*k)\/(k**(2\/15)*k))**(-23)*k**(-1\/5)*k*k\/(k**7\/k)*(k\/(k**(1\/4)\/k))**(5\/2) assuming k is positive.\nAnswer: k**(-29971\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = 3*m - k, -5*m - 3*k = -4. Let h = 16577\/12 - 25097\/18. Let s = h - -100\/9. Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 + 6*c + 7. Let u = 15 + -8. Let y be p(u). Let f(v) = 1 + 8*v**2 - v - 19*v**2 + 12*v**2. Calculate f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 28 = 2*x. Suppose -p + 3*l = -2*l + x, -3*p + 28 = -l. Calculate the least common multiple of 4 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + 53. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/15)\/(6\/20). Let z = -15 + 17. Let a = t + z. Solve 4*g - a*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:51 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = t + 5189 - 5161, 4*t = -i - 27 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 2596?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110101110 + -11?\nAnswer: -1000110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -983 + 983.3. Let w = -23 - -23. What is the smallest value in -0.2, w, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3049*y + 9814 = 3056*y. Let i = 7028\/5 - y. Factor 39\/5*h**2 + 6\/5*h + 0 + i*h**3.\nAnswer: 3*h*(h + 2)*(6*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2028*i**3*j**2 - 250*i**3 - 4*j**3 + 26 wrt j.\nAnswer: -4056*i**3*j - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - p + d = -4, -5*p = -3*d - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31.734*-2\nAnswer: 63.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 2*q - 2*q)*(16 + 7 - 25) + 1 - 1 - 3*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 87, 166, 277, 420, 595?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 3*i**6\/2 - 3*i**5\/5 - i**3\/3 - 97*i**2\/2 - 114. What is the third derivative of y(w) wrt w?\nAnswer: 540*w**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - -0.06885854?\nAnswer: 45.06885854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + 336\/40. Let y(l) = l**3 - 8*l**2 - l + 10. Calculate the smallest common multiple of y(t) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, -5, 7 in increasing order.\nAnswer: -5, -4, -1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/344 and 31\/48?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6222.\nAnswer: 2, 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (0 + -22) - (2 - (3 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2796 = -o, 5*o - 4380 = 3*y + 9622. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7722, -30631, -68732, -122025?\nAnswer: -190510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54370861501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5*(156\/15 - 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -112 + 0*t**2 + 0*t**4 - 133\/6*t**6 + 0*t**5 + 22*t**3 + t. What is the third derivative of q(s) wrt s?\nAnswer: -7980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -1)*14\/(-21). Let s(k) = -k**2 + 13*k - 7. Let t(x) = -x**2 + 14*x - 8. Let p(c) = 5*s(c) - 4*t(c). Give p(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 57 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-14)\/132)\/(-7))\/(68540\/(-126054)) and -107\/3542.\nAnswer: 35420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - r - 184. Let f be (-4)\/(-5) - r\/(-45). Let q = -2.2 - -2. What is the smallest value in f, 0, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 8:52 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*i + 5*g, 4*g = -2 + 6. Let o be (5\/3)\/(-5) - -1. Put i, o, 9 in increasing order.\nAnswer: i, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*-3 - 4. Let z(m) = 5 - 3*m + m - 6. Give z(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408794219 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 84, 145, 206?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5 - 8*o**2 + 10*o**2 - 3*o**2 - 4*o**2 + 3*o**3. Let l(h) = 8*h**3 - 12*h**2 - 12. Calculate 5*l(i) - 12*u(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 92 + 9)*(68*g - 32*g - 2*g**3 - 34*g).\nAnswer: -204*g**3 + 204*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**4\/4 + 26*d**3\/3 - 12*d**2 + 10*d + 26. Calculate the smallest common multiple of o(25) and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {x: 3, l: 4, i: 2, z: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25, 39425, 1.\nAnswer: -25, -4, 1, 39425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -v, 20*n + v + 4 = -14*n + 41*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, 0, 3, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3870 - 5100 + 3465 + 2*q to the form c*q + k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3962791387.\nAnswer: 2273, 1743419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 22*s**2 + 38*s - 637. What are the prime factors of q(15)?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 15384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9618 is divided by 131?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 7*k + 3 - 128 - 134 = 42, 0 = 2*k + 86 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*m + r, -2*r + 0*r + 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2\/13*s**2 + 32258\/13 - 508\/13*s = 0.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.61283 centimeters to meters.\nAnswer: 0.5561283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 759\/(-815) + 87\/145. Let c = z - -5863\/2445. What is the common denominator of c and -7\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n + 9 = 0. Suppose -n = -0*g - g. Suppose -g*l - l = -116. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g. Let u(l) = -9*l**2 - 9*l + 5. Let a(x) = -6*i(x) - u(x). Let r(m) = -2*m**2 - 2*m + 4. Calculate 3*a(y) + 4*r(y).\nAnswer: y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1674 + -77568.\nAnswer: -75894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -99, -5\/14, 3\/7, 3, -1, -2.887?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006392048464 rounded to 5 decimal places?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 252*b - 37697. Give j(161).\nAnswer: 2875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3246 greater than -3059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 2*c - 4. Let w(g) = 4*g**2 + 186*g + 87. Let m be w(-46). Let k(z) = -4 - 1 + 2*z**2 - 3*z + 4*z**2 - 3*z**2. What is m*l(p) + 4*k(p)?\nAnswer: -3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-78))\/((-763)\/(-3924))\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1864*k - 1896*k + 1035776 = 0. Does 136 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110000011111101 (base 2) to base 13.\nAnswer: 32192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = -4*b, -b = n - 5*n + 9. Suppose n*s - 5 = s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689004500?\nAnswer: 2, 5, 1378009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -166375*t**5\/3 + 859100*t**4\/3 + 4612630*t**3 - 759816*t**2 + 41535*t - 756 = 0.\nAnswer: -7, 3\/55, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 47. Let b be u(-13). Let a = b + -64. Suppose l = -w + 4*w + 4, -8 = -2*l. Solve w = -2*n - n - a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 0.93 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/12)\/(6\/(-20)). Let q = 288\/5 - 844\/15. Which is the second smallest value? (a) y (b) -3\/4 (c) 0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 4*l**3 + 26*l**3 - l**2.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, -524, -1351, -2242, -3041, -3592, -3739, -3326?\nAnswer: -2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 1 + 4*t - t**2 - 2*t. Let d be n(4). Solve d*l + 0*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 + 2*q**2 + 2*q + 154. Let g(z) = -2*z**3 - 3*z**2 - 3*z - 154. Let y(u) = -2*g(u) - 3*l(u). What is the derivative of y(w) wrt w?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)*v**(-8))\/(v**(-4)*v*v**(-8\/3)))**(-2\/29) assuming v is positive.\nAnswer: v**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 20 = 3*c, 5*d - 20 = 5*c - 6*c. Suppose -3*h + 2195 = 4*i - 581, -3*h = d*i - 2771. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 2*m - 1 - 1, -5*a - 2*m - 10 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3 + 7. Solve s*z = 10, 6*b - 3*b - 5 = -4*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) - 60\/(-16). Solve -4*k + r*x - 3*x + 10 = 0, 4*k - 5*x - 2 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 101\/4, -3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and -0.598109.\nAnswer: 11.401891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -6.\nAnswer: 145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -71553862\/11 smaller than -6504896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-14) + 1\/2. Let g = 906 - 847.6. Let v = g + -60.4. What is the closest to u in 2, v, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = x - 53, 3*x - 5*x = -3*n + 37. Let t = 11 - n. Find the third derivative of 0*a**2 + t*a**3 + 8*a**3 - 3*a**3 + a**2 wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1740541 - -60799465. Suppose 3*z + 125079997 = -4*f + 4*z, -2*f - 2*z = d. Round f to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763962 a multiple of 720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 214 + 206 - 420.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 392 divided by -35\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**3*g**2 + 6245*b**3*g - 196*b**2*g**5 - 2*b*g wrt g.\nAnswer: 14*b**3 - 3920*b**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 87 = -4*z, 0 = r + 4*z + 7 - 34. Let x = r + -13. What is the third derivative of -9*f**2 + 2*f**x + 14*f**2 - f**2 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhh. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 221.5 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 463 - 3395. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 43 - (-228 - -187)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -140*m**3 - 6*m**2 + 6*m - 6. Let a(l) = -26599*l**3 - 1139*l**2 + 1139*l - 1139. What is 6*a(s) - 1139*x(s)?\nAnswer: -134*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -83, -2\/21 in descending order.\nAnswer: 11, -2\/21, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let s(j) = -j**2 + 6*j - 6. Let m = 7 - 13. Let h = m + 12. Let z(c) = 2*c**2 - 13*c + 13. Let t(q) = h*z(q) + 13*s(q). Calculate d(t(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2*s + 3)*(s**2 - 3*s**2 + s**2) + 2*s**3 - 5*s**3 - 6*s**3)*(2*s**2 - 3*s**2 + 0*s**2).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 41*k + 3. Let w(d) = -d. Let o(b) = -3*w(b) - y(b). Let t be o(-1). What is the remainder when (10\/(-7))\/((-110)\/t + 3) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or 2.04?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 - 2*o + 4. Let d be a(-6). Let t be 3\/(-13)*d\/(-24). Let n = 373\/2 + -187. Put t, n, -1 in decreasing order.\nAnswer: t, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 12. Let i be n*4 - (-7650)\/(-1914). Let s = i + -28401\/3190. Find the common denominator of 7\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*5\/3)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*x - 1. Let w be (-10)\/(-15)*(-6)\/(-4). Let f = w - 4. Put f, -1, x in increasing order.\nAnswer: f, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (104 - 117 - (-2 + -30)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 1361000 = -1360860 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -29*z + 90. Let m = 40 - 6. Solve 2*i - 8 + 2 = 0, z*q + 3*i = m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -362.567 to the nearest integer.\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + -3)*(-1 + (-1 - -1)). Calculate the lowest common multiple of (-952)\/(-98) - ((-4)\/f)\/(-2) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = j - 10, -22 = 4*i - 5*j - 67. Solve 0 = -i*q - 7 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2016*h - 525. Let f(c) = -2*c. Calculate q(f(m)).\nAnswer: -4032*m - 525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 29880.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 2*g - 6. Let t be j(9). Let w = t + -1313\/2. Find the common denominator of w and -21\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126999\/535 - -1187\/5. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 509939351 or -2?\nAnswer: 509939351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/25)\/(8\/120).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216 + 221. Let q(x) be the third derivative of 0 + 0*x + 2*x**2 + 1\/120*x**6 + 1\/12*x**4 - 1\/20*x**j + 0*x**3. Find o such that q(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/444 and -1\/202428.\nAnswer: 7489836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = p - 4. Let t = 27 - p. Suppose 2*q = -t*q + 4*o + 123, -5*q - 3*o = -109. What is the least common multiple of 7 and q?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107130 divided by -21426.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:42 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -64180778 divided by -64180778\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1897.05 - -1897. What is the nearest to 3 in -1, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1 (b) 2 (c) 26781\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1122011?\nAnswer: 1122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 1 + 3. Suppose 0 = v + c - 1, 0*c - 2 = -x*c. Let g(l) = 16 - 22 + 0*l - l. Determine g(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4785920 + 10?\nAnswer: 4785930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-4)*(-12)\/(-10). Let n = -2 - -1. Sort n, i, -2 in increasing order.\nAnswer: i, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 49 = -2*j, -2*b + 18767 = 4*j + 18801 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - 328\/(-410)*51\/10.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 186 - 94 - 84 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 1:28 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4\/3, 1\/2, 1\/4, 136.7.\nAnswer: -4\/3, 1\/4, 0.4, 1\/2, 136.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 22*h - 57. Let s be j(-25). Solve d + 5*q + 27 = 0, q = -2*q - s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8448\/88 + (13\/((-39)\/(-33)) - -12).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 55*q - 1 + q**4 - 7 + 19 - 6 - 2 as p*q**3 + c*q**4 + w + d*q + t*q**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/3 - 160066*w**3\/3 - 3202240330*w**2\/3 + 16016164066*w\/3 + 6406081444 = 0.\nAnswer: -40019, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 67*t**3 - 1339*t**2 - 27*t + 139. Give x(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 = -65*j + 50*j. What is the remainder when 244 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25540472*i**2*s - 813*i*s + 2*i - 17*s - 89 wrt i.\nAnswer: -51080944*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -2) + 2*-2 + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525228 less than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 0, 3, -8 in increasing order.\nAnswer: -9, -8, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 11. What is the units digit of f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7612)\/(-1384) + (2\/(-35))\/(2\/190).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 23. Let u be g(-18). Let p(d) be the second derivative of 0 + d + 0*d**2 - 1\/3*d**3 - 1\/10*d**u - 1\/3*d**4. Solve p(r) = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2135 - 2601 = 91*w + 205*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*d**3 + 83*d**3 - 5*d**2 + 3*d**2 + 2*d as p*d + q*d**3 + y*d**2 + t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g + 1. Let i(a) = -19*a. Let j(f) = 7*f. Let v(x) = 3*i(x) + 8*j(x). Calculate -2*c(k) - 7*v(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/1626 and -88\/375.\nAnswer: 203250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1913 less than -1903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = p - 252, 5*p - 2*p + 264 = 5*b. Suppose 0 = t - 68 - b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let j(d) = d**2 - 4. Let g(m) = -j(m) - 3*y(m). Let r be g(-4). Suppose r = 2*p - 6*p + 13972. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -213*n - 21. Let v be p(2). Let w = 675 + v. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-162)*(-49876434)\/84. Let b = 14661 - c. Calculate the common denominator of b and -56\/9.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/9 - 9*49\/(-189)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p - 5. Let m(y) = 5*y + 4. Let r(g) = 5*f(g) + 4*m(g). Let h be r(-11). Suppose 0 = 5*t + 2*a - 919, t - h = 3*a + 93. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (2 - (-17 + 1)). Suppose 8*a = -126 - q. Let f(c) = -c - 9. What is the lowest common multiple of f(a) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(16\/(-361474)) - 744\/(-992)?\nAnswer: 5, 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = 1. Let a(v) = -22*v**3 + 2*v**2 + v. Let w be a(g). Calculate the highest common factor of 92 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**0\/x)))\/x)**21*(x\/((x\/(x**0\/x))\/x))**36 assuming x is positive.\nAnswer: x**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -3*s + 10, -21 = -s + 4*z. Suppose 0*a + s = a. Let b = -4 - -22. Solve a*l = -4*q - b, q + 20 = -4*q - 5*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 751*y + 7618. Determine c(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -315*d**5\/2 + 447*d**4\/2 + 507*d**3\/2 - 279*d**2\/2 - 6*d + 6 = 0.\nAnswer: -1, -1\/5, 2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2409701 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h + 23. Let k be f(7). Find the second derivative of p**3 + 4*p + 6*p - k*p**3 - 3*p**3 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000069703 rounded to seven decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 2*a - 5. Let f(j) = j**2 + 1. Calculate -4*f(x) - z(x).\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 - 45 = 0. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 13*y**3\/3 - y. Let i(u) be the second derivative of u**4\/6 - u - 4. Give i(b(m)).\nAnswer: 1352*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/10 + -1)*135\/(-108)*-1464. Calculate the greatest common factor of n and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.314 and -1.43?\nAnswer: -3.30902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 - 10*r + 8*r + 0*r - r + r - 2*r + 2 - 2*r - 2 + (-2 + 5 - 1)*(0*r - 2*r + 0*r).\nAnswer: -10*r + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20632160 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/40 - v**5\/12 + v**4\/24 + 5*v**3\/6 - 4*v**2. Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 7*w - 12*w - 20400*w**2 + 26*w.\nAnswer: -20400*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 14 - 32 = 0. List the prime factors of a*-55*(-2)\/(-6) - -1.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 5*p - 2*p)*((0 + 0 - 2*p)*(-2 - 1 + 4) - p + 4*p + 2*p).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/190 and 37\/16.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 31835223?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57.3 + -64.3. Which is the closest to y? (a) 0.1 (b) -4 (c) -3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2. Let w(j) be the first derivative of -j**3\/3 + 7. Determine x(w(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*z = 306*z - 712*z - 1526 + 14231 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 74\/(-407) + (-97)\/11. Let u = 28 + -27. Let v(j) = -u - 19*j - 15*j + 35*j. Let h(c) = 5*c - 3. Determine n*v(q) + 2*h(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(208) + -2 - sqrt(208)) + -4)**2 - (1 + sqrt(208) + -2 + -3 + sqrt(208))) + -5.\nAnswer: 88*sqrt(13) + 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 951882*w - 27602896.\nAnswer: -2*(w + 29)*(w + 475912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -7, -35.\nAnswer: -35, -23, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + -35 + -13 + 84?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 - 1. Let j = 0.2 - m. Let p = -0.06 - -0.26. What is the nearest to 2\/5 in j, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*f + 46 + 78 = 55 + 246 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9)*12 - -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8746 + -8745.2362. Round j to two dps.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 428\/(-18) + -40*(-95)\/(-17100)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1515 divided by -20?\nAnswer: 303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1011 - 1013. Let i(w) = w**3 + 4*w**2 + 4*w + 1. Determine i(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 239*g**3 + 43*g**3 - 90*g**3 + 1 + g to c*g**3 + m*g + f*g**2 + p and give c.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 9:42 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2578 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (20800\/(-550) - -36)*44\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 80.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 26606 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q - 4*y = -102, 14*y - 12*y - 16 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340963294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71197 is divided by 8804.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggddgggd. Give prob of picking 2 g and 2 d.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76.7 + 82. Let g = 0.382 - 0.082. Let a = g - k. What is the third biggest value in -3, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 - 7*f - 25. Let z be p(-5). Let r(y) = -2*y - 6. Let v be r(-4). What is the remainder when v - z\/((-6)\/(-2)) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/(n**(2\/7)\/n)*(n**(-2\/3))**1)**18 assuming n is positive.\nAnswer: n**(-372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 18859582.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**3 + 2*r - 1. Let q(n) = -14*n**3 + n**2 + 6*n - 3. Give -2*q(p) + 7*t(p).\nAnswer: -7*p**3 - 2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158 by 478.\nAnswer: -79\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:55 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-4 + 5 - 3)) + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 9\/4*r**4 - 5\/3*r**3 - 9*r + 7 - 2*r**2. Let y(l) = -14*l**3 + 8*l**2 + 6*l + 14. Let c = -15 + 7. Determine c*g(o) - 5*y(o).\nAnswer: -2*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4792 + 331*w - 4792 - 4 + 4 + w + (-1 + 2 + 1)*(-3*w + 2*w + 0*w) + (w + 1 - 1)*(5 + 2 + 6) to the form t*w + b and give t.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 5*v + 4*v**2 - 4*v + (5*v - 3*v + 2*v)*(2*v - 2 + 2).\nAnswer: 12*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.8 and 591332.\nAnswer: -2838393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -106238649800 rounded to the nearest one million?\nAnswer: -106239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-14))\/(2\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88779721\/400 - 221949. What is the common denominator of 49\/16 and b?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.44188654 rounded to two decimal places?\nAnswer: 11.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 + 135 + (-209 - -71)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1377316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and -93551530803933.\nAnswer: -93551530803933.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -7*v**4\/12 - 19*v**3\/3 - 407*v**2. Let u(j) = -5*j - 13. Give 4*r(b) - 11*u(b).\nAnswer: -b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*n + 8\/3 - 8\/3*n**2 - 4\/3*n**3.\nAnswer: -4*(n - 1)*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 10*r)*(-113*r**2 + 91*r**2 - 131*r**2).\nAnswer: 1530*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-376)\/564)\/(1*2\/1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.6261 + 1.6261. Let c be 6\/15 + 3\/5. What is the second smallest value in 0, b, 0.4, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 2842*z**2 - 5690*z - 2846.\nAnswer: 2*(z - 1423)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - -0.01. Let u = r - -0.06. Let z = -4.6 + 0.6. Sort 4\/7, u, z in decreasing order.\nAnswer: 4\/7, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwcwnwnwnnnwcnw. What is prob of sequence cc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -20.3171\nAnswer: 101.5855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.1007493.\nAnswer: -0.3022479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 3*j**2 - 4*j + 3. Let i(c) = -7*c + 88. Let n be i(12). Determine x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*4 + 5 + (sqrt(28) - -4*sqrt(28)) + -4 + sqrt(28)\/sqrt(4) + ((3*sqrt(448))**2 - sqrt(7)).\nAnswer: 14*sqrt(7) + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 10 = -8*r + 3*r, -4*r - 5 = 3*z. Let c(h) be the third derivative of 0 - 1\/6*h**4 + 3*h**2 - 2\/3*h**3 + 0*h. Give c(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 418 and 27685614.\nAnswer: 526026666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137108259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (0 + -1*sqrt(7)) - (sqrt(56)\/sqrt(32))**2.\nAnswer: -7\/4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0 + 3*j**3 + 0*j**5 - 1\/10*j**6 + 0*j**4 + 7*j**2 + 0*j. Find the first derivative of u(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.746 and -27.\nAnswer: -155.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61806299 and 879.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*-6*(4 + 1*sqrt(1700))*-5*-1 + -3))**2.\nAnswer: 16065000*sqrt(17) + 347436225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, -0.8 in increasing order.\nAnswer: -3, -0.8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 9*z + 48*z**2 - 4*z - 8*z to y + b*z**2 + a*z and give b.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*h)*(-4 + 4 - 8*h**2).\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let i(w) = 3*w. Let t(s) = 4*a(s) + i(s). Let o(n) be the third derivative of 0 + 0*n**3 + 0*n + 2*n**2 + 1\/20*n**5 + 0*n**4. Give t(o(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 7 + r**3 + 6*r**2 + 3 + 0*r. What is the tens digit of x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(4\/12)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 837460, 837454, 837448, 837442, 837436?\n\"Answer: -6*y + 837466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/11)\/(((a**2\/a)\/a)\/a))**(-6)\/((a\/(a*a\/a**(-1)))**(-5\/4))**(2\/13) assuming a is positive.\nAnswer: a**(-1069\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4364 is divided by 128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/9911 and -19\/561.\nAnswer: 29733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 10*t + j - 71 = 0, -115 + 134 = -3*t - 2*j for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10373 (base 10) in base 16?\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 8*f - 7. Let s be p(9). Let i be ((-6)\/(-16))\/(3\/s). Which is bigger: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 15 = -a. Let u(g) = g**3 + 6*g**2 + 2*g + 12. Let m be u(-6). Is 1110\/a - (-1 - m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 - 167. Let d be (-2)\/(3\/(-48)*2). What is the smallest value in z, d, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**6\/150 + f**5\/50 + f**4\/60 - f**3\/15 + 4*f. Find w, given that c(w) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35329.7604 rounded to 0 decimal places?\nAnswer: 35330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 10*g**2 - 95*g + 926. Let h be u(11). Let d = -6 - -15. Suppose 5*z - 24 = -d. Solve -z = -v - h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1083254613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-1 - -4)\/3. Let i be 8 + (2 - 2)*k. Solve -5*x - a = -i, -2*x + 16 = x - 5*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 20*g - g)*(-2*g + 0 + 32 + 3*g).\nAnswer: 19*g**2 + 607*g - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/(22 - 4199\/190)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 3 - (45 + -12 + -18 + 59)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.3, -33848, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 800288 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 560.9426 + -561. Round j to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 16. Let v = -23 + z. What is the second biggest value in v, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -563 from -3028290.0618.\nAnswer: -3027727.0618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -46106.91, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 5 (b) 8\/5 (c) -4 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22138 and -22.\nAnswer: 487036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -49652 + -101454553\nAnswer: -101504205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10 + 5*v**3 - 4*v**3 - v**2 - 2*v**3 + v + 0*v**3. Let c be r(0). What is the remainder when (-28)\/c*(8 - 3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*v**3 - 41 + 25 + 14 + 226*v**3 to the form t*v + o*v**2 + c*v**3 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493405057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*4*(3 - 4). Let c = j - 9. Solve q + 4*o - 13 = o, 0 = -c*o + 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 169165760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7504*l**2 - 3753*l**2 - 4264*l**2.\nAnswer: -15521*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 204 + 248 - 2*r**2 in the form t + c*r**2 + a*r and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1612, 9442, 23492, 43762, 70252, 102962?\n\"Answer: 3110*m**2 - 1500*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 2. Let y be o(-2). Let i be (-46)\/(-6) - 2\/y. Suppose l - i = -l. Let s(j) = -j + 3. Give s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssfxfsfsfsfsfsswxs. Give prob of picking 2 s and 1 f.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1861*y**3 - 1541*y**3 + 11*y**2 - 19*y**2 - 4.\nAnswer: 320*y**3 - 8*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o. Let w be h(-1). Suppose 1 = t + 5, -w*u + 2*t = -113. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-14)*49*2\/10. Factor -d*g**2 - 4\/5*g + 0 + 1\/5*g**4 - 2\/5*g**3.\nAnswer: g*(g - 4)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(42\/(-12) - -5). Suppose -t + z*t - 2*n - 706 = 0, 3*t = 4*n + 1055. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 times -2025?\nAnswer: -372600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627112 divided by -956?\nAnswer: -1702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -7. Let a(f) = 14*f**2 - 2*f + 1. Let h be a(r). Suppose t = 13 + h. What is t rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 422*y - 5067. Give f(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -55*g + 53*g. What is the third derivative of -11*q - 7*q**2 - 5 + g - 6*q**3 + 11*q wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -128*g - 122. Let q(c) = -256*c - 272. Give 4*q(d) - 9*z(d).\nAnswer: 128*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034319843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 149*q - 7\/2*q**2 + 254 + 7\/3*q**3. What is the first derivative of d(o) wrt o?\nAnswer: 14*o - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6 (b) -0.5 (c) 0.2 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-38)\/4 - -3). Let l = k - 11. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444 by 222.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*z - 4 + 12, 2*y + 14 = 2*z. Suppose 2*h + 6 = l + 7*h, z*h = 3*l - 38. Suppose a - 2 - l = 0. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(225\/(-20)))\/(-1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) 15 (c) -298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81\/190 + 1\/38. Which is the nearest to 0? (a) -1\/5 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 16. Let q be g(11). Let a = 1936 - 1937. Calculate the common denominator of ((-45)\/165)\/(a\/q) and 99\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-10)*5\/2. Let g = -4 - s. Which is bigger: -3\/19 or g?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 2, x: 1, i: 1, h: 2, q: 1}. What is prob of sequence cx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*p + 84 - 27. Let k = 2.98 - 3. Which is the nearest to 0.1? (a) 4 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/1)\/((-4)\/22). Let j be (11\/4)\/(-3*2\/(-528)). What is the greatest common factor of j and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 18*d**7\/7 + 5*d**3\/3 + 6. Find the third derivative of s(k) wrt k.\nAnswer: 2160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 6*j + 6. Let t be m(-5). Suppose -o = 5*n - 12, 4*o - 31 = n - 4*n. Let l = -3\/2 + 7\/4. Which is the third biggest value? (a) l (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49, 0.4, 4\/111, -2\/9, 4, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1\/2*-3*(-68)\/(-6579)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3598 + -11?\nAnswer: 3587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**9\/37800 + p**8\/16800 + p**7\/6300 - p**6\/1800 + p**4\/12 + 3*p. Let i(a) be the third derivative of d(a). Solve i(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12283 or -12349?\nAnswer: -12283","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75004352?\nAnswer: 2, 419, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 691864455*r - 4 + 691864452*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120110 + 11201?\nAnswer: 131311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*s**4 + 0*s**2 - 2\/3*s**5 + 0*s**3 + 0*s.\nAnswer: -2*s**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147308547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*(l - 3*l + l)*(-11*l - 413*l - 56*l) to y + k*l + j*l**2 and give j.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 5. Let i(o) = -o**3 - 5*o**2 + 11*o - 7. Let v be i(-7). Let r = v + -14. Let b be x(r). Solve 0 = -b*z + 3*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76885064 is divided by 1255?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004673257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 5. Suppose -28 - m = -2*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*x = -3*i - 219*x + 15707, -3*i - x = -15703. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times -15731?\nAnswer: -471930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235225?\nAnswer: 5, 49409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from sssssksssusnssnssuu?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + -0.13. Which is the closest to r? (a) 1 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 186*b**2 + 5*b - 1. Let c be d(-1). Let a = c - 117. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 7}. What is prob of sequence ww?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2. Let n(j) = 1075*j - 4. Give n(u(w)).\nAnswer: -1075*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Let n = s - -3. Let f = 3.9 - -0.1. Which is the nearest to n? (a) -1 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4*t + 3)*(-2*t**2 + 2*t**2 + t**3).\nAnswer: 4*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5036\/(-10) - 6\/15. What is the units digit of b\/(-49) - (-2)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d**2 + 281*d - 281*d in the form h*d**2 + g*d + r and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, -27, -306, -709, -1242, -1911, -2722?\nAnswer: -3681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, a: 1, f: 5}. What is prob of picking 2 g?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k - 4*h = 6, h + 8 = -3*k. Let t be (-30)\/4*k\/20. Let o be 2 - (1 + 1) - -2. Is o >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -449883237*z**5 + 374959308*z**2 wrt z.\nAnswer: -26992994220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 57 = z + 66, 5*z = 2*l - 33 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5\/5 + 84*b**4\/5 + 96*b**3\/5 - 258*b**2\/5 - 93*b\/5 + 174\/5 = 0. What is b?\nAnswer: -2, -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*m**5 + 965313*m**3 - 4*m**2 - 528094262*m wrt m?\nAnswer: -620*m**3 + 5791878*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -307\/6 (b) 2\/35 (c) -0.3 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506629 is divided by 46056.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 90942761*v**4 + 30029991 wrt v?\nAnswer: 363771044*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 214878.7341 rounded to the nearest 100?\nAnswer: 214900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2400099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 2:55 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.2 (b) 0 (c) -4 (d) -272 (e) -2\/11 (f) -691\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**8\/504 - g**7\/315 + g**6\/90 + g**5\/45 - g**4\/36 - g**3\/9 - 4*g**2. Factor x(a).\nAnswer: -2*(a - 1)**2*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1134.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15274?\nAnswer: 2, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108094753.\nAnswer: 13, 8314981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02128034899 rounded to six decimal places?\nAnswer: -0.02128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -347042 - -347047. Suppose -22\/5*m**4 + 38\/5*m - 46\/5*m**3 + 8\/5*m**v + 8\/5 + 14\/5*m**2 = 0. Calculate m.\nAnswer: -1, -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202339 or 5\/107?\nAnswer: 5\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397 + 83. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 19. What is a(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6287, 6574, 6861, 7148, 7435, 7722?\nAnswer: 8009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18961 is divided by 186?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**4\/6 + p**2. Let w(y) = -4*y**2 + 15*y. Let t(c) = -c**2 + 3*c. Let n(l) = 5*t(l) - w(l). What is b(n(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z - 16. Suppose -3*r = -g + 28, 9*g + 2*r - 50 = 28. Solve z*s - g = 11*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -20 + (2 + -2 + 0 - 22).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952955462?\nAnswer: 2, 16649, 28619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0 - 5\/8*j**4 + 0*j**5 + 0*j**3 - 1\/70*j**7 - 8*j**2 + 0*j**6 + 0*j. Find the second derivative of m(y) wrt y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 17, -1, -2 in increasing order.\nAnswer: -5, -2, -1, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 8070, 1, -1\/2, 4, 2, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and ((-7)\/2)\/(3\/(-18)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-12))\/(5\/(-45)*4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2009 divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -320030 (base 6) to base 11\nAnswer: -18540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -249416 (base 16) to base 13\nAnswer: -65c186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(390\/25 - 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4 + 2\/(9708\/19415)) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(sqrt(72) + sqrt(72) + (sqrt(72) + 3*sqrt(72) + sqrt(72) - sqrt(72)))**2*3.\nAnswer: 46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - 7*b**5 + 3*b**5 + (8*b**3 + 18*b - 18*b)*(7 - 7 - 7*b**2) + 2*b**5 + 5*b**3 - 5*b**3.\nAnswer: -55*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 1. Let o be b(3). Suppose -5*x + 2*r + 29 = 0, 11 = -3*x + 6*x + 2*r. What is the closest to -0.1 in x, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6352, 6352, 6344, 6322, 6280, 6212, 6112?\n\"Answer: -i**3 + 2*i**2 + i + 6350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**4 - 3*p**3 + p**2 - 10*p - 1. Let n(i) = -8*i**4 - 4*i**3 - 10*i - 2. Let x(o) = 5*n(o) - 6*t(o). Factor x(z).\nAnswer: 2*(z - 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = 3*z + 46, -5*z + 5 = 0. Let u be (3 - j\/(-6))*-2. Let v be 1*u\/(-9) + 1. What is the closest to v in -0.4, 4\/5, -4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkwklikllu. What is prob of sequence wlil?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -11. What are the prime factors of ((-285)\/(-5))\/(0 + i)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3833097.98 rounded to the nearest ten thousand?\nAnswer: 3830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*602.2.\nAnswer: -30.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 722 - 719. Let x be g - (-4)\/(20\/5). Solve x*a + 2*z + 8 = 2*a, 5*a - 3*z + 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**6\/780 + 7*v**5\/195 + 25*v**4\/156 + 4*v**3\/13 - 152*v**2. Factor w(b).\nAnswer: 2*(b + 1)**2*(b + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (15 - 8) + -5 + 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -851.64269401 and -0.195?\nAnswer: 851.44769401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 309463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -246, 58 in descending order.\nAnswer: 58, -1, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2288 and 880?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from {p: 2, r: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o - 78*o - 7 + 87*o + 4. Suppose -3*l = 3*t - 21, -4*l = -l - 2*t - 1. Suppose 0 = -l*j + 11 + 1. Calculate s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 10)*5\/(-10) - -30. Let p(l) = 6*l + 5. Let r(j) = 96*j + 81. Calculate v*p(u) - 2*r(u).\nAnswer: 6*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -6\/5, -1\/13, 53, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(78)\/(sqrt(6)*-2) + (-1 + sqrt(325))**2).\nAnswer: -21*sqrt(13) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Suppose 4*p - 15 - 13 = -2*i, -p = -3. Let y = i - 12. Put -1, m, y in ascending order.\nAnswer: y, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from ooffpfoojffpoopjopo?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**2 - j**2 - 5*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 840 by 12.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2270 + 5?\nAnswer: -2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times -15?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2160)\/(-48) - 36 - 32?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 23*y. Let b be q(-1). Let m = b + 48. Calculate the highest common divisor of m and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27173789 - 37279411 = -42*m. Round m to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*l + 4, -l - 2 - 4 = -4*x. Let u(n) = 2*n**2 - n + 1. Calculate u(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6103 + -643?\nAnswer: 5130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 289145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4 = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/9 and (2\/(-4))\/((-39)\/(-1079))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a*b**2*f*r - 16*a*b**2*r - 6*a*b**2 + 2*a*f + 4*b**2*r - 2638*f*r wrt f?\nAnswer: 3*a*b**2*r + 2*a - 2638*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -30, -45, -60?\n\"Answer: -15*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1060 = 3*a - 4*d, 0 = -4*a + 2*d + 1052. What is the highest common divisor of a and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 0*h + 3*h + 3989, -2*p + 1590 = -4*h. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times -107.961?\nAnswer: 4534.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79950, -159911, -239874, -319839, -399806?\n\"Answer: -c**2 - 79958*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 44*v - 18. Let w be a(-24). Calculate the highest common factor of w and 2106.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61085 rounded to the nearest 100?\nAnswer: 61100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (6 - 2 - -88). Suppose 73*s - 90 = n*s. What is the second smallest value in 2\/9, 4, -3\/2, s?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46e - 7cdc?\nAnswer: -786d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*z + 42*z - 25*z)*(z + 2*z - z) to the form k*z + w + n*z**2 and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 1. Suppose 5*n + z = 20, -4*z = -5*n + z + 50. Suppose 4*q - 26 = -2*u, -4*u + 2*u + 31 = n*q. Give f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/4 - 9*b**2\/2 - 3*b. Find the first derivative of v(o) wrt o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-20) - 54\/5) + 2. What is the units digit of ((2415\/g)\/7)\/((-2)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53342458141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1510 and 31408.\nAnswer: 157040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-20)*(32\/4)\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, -30, -75, -122, -171?\n\"Answer: -w**2 - 40*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238542034?\nAnswer: 2, 37, 3223541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 30*j - 237. Calculate s(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101000010011111100 (base 2) in base 3?\nAnswer: 12020120102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f + 264 - 246 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*t = -o - 83, 5*o - 3*t - 194 = 0. Suppose -b + 151 = 5*a - o, a + 5*b = 52. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1089 - -1202.8. Let j = x + -5.8. Let y = -108.0000138 + j. Round y to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14 = 9*j. Is (3\/(-12))\/(j\/1016) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8 = -7*c. Find the second derivative of -c*d - 3*d + 101*d**2 - 96*d**2 wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*5\/5*(1 + 313)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (-21 - -32 - -73 - 20 - 25)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 124 = 4*p, 2*b + b = -p + 112. Let i(j) = -63*j + 1144. Calculate the remainder when b is divided by i(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -882 - -887. Suppose 0 = 2*r - u, 4*u - 9 - 7 = 0. Solve -g = -x, 2*g - 9 + 1 = r*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3976 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-6)*r*r*r\/(r*r**7)*r**4\/((r*r**(-6))\/r) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 9\/2, 1.31?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424368?\nAnswer: 2, 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 409, 379, 329, 259?\n\"Answer: -10*j**2 + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 + 3*o. Let h be y(3). Let v(c) = -3*c**2 + 203*c + 226. Let g be v(69). Let p = h + g. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28686 divided by 58?\nAnswer: -14343\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 53.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + 4 - (-11 + 11 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(((w\/(w*w**13)*w)\/w)\/w*w))\/(w**(-2\/65)\/w)*(w*w\/(w\/(w*w\/(w\/(w**(-9)\/w)))))\/w*w**(2\/61) assuming w is positive.\nAnswer: w**(28007\/3965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v - 0. Suppose 5*c - c = v*b - 360, 5*b - 400 = -4*c. Suppose f - n - 18 = 0, -3*f = n - b + 26. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (16 + -17 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-182\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let y(s) = -s**2 - 11*s. Let n(j) = 2*j. Let h(r) = 11*n(r) + 2*y(r). Give o(h(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*m + 76, 44 = -3*t - m + 109. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 3*o - 2. Calculate the least common multiple of 14 and c(6).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, -0.1, -5, -1\/5, -51?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 5 + (-19 - -21) + -26.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*n + v + 4*v, -2*v = -n - 12. Let y(s) be the second derivative of s**4\/6 + 13*s**3\/6 + 7*s**2\/2 + 8*s. Is y(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 36 - 16. Find the second derivative of -5*p + 13*p**2 - p**3 - o*p**2 wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/6))**(-39) assuming a is positive.\nAnswer: a**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 65 = 11*l + 85 + 327, -15*l + 12*l = -4*s + 81 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 543 + 152. Let h be 10\/36*n + -7. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**2 - 8*g + 2*g**2 + 8*g - 7*g**2. Let z(q) be the first derivative of -q**3\/3 + 1. Determine v(z(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 37 = -45 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22987340 and -0.4.\nAnswer: -9194936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**4 - 2 + 9*y + 2*y**3 - 3*y**2 - 40*y + 31*y to a + f*y**2 + j*y + h*y**4 + d*y**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101 - -11?\nAnswer: -11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 51?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154*d*n**3*w - 1056*d*n**2 - d*n*w + 129*d*n - 62*d*w + 8*d + 2*n**3 + n*w wrt n?\nAnswer: 924*d*n*w - 2112*d + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 46. Let t(g) = 7*g. Determine t(b(s)).\nAnswer: -7*s**2 + 322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 - -10100111010011?\nAnswer: 10100101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*c**2*l**2 - 156309181*c**2 - 220064*l**4 wrt l?\nAnswer: 54*c**2*l - 880256*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -25151028.\nAnswer: -5\/25151028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 484*r - 46 - 21 + 49*r.\nAnswer: -435*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155 or 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 33*u**2 - 36*u**2 + 528 in the form k + g*u**2 + t*u and give k.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 18*p**2 + 40*p + 18. Let z be q(20). Suppose 0 = 17*b - 103 + z. Solve 3*m + 2 = -b*w - 1, -3*w = -2*m - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -9*k**2\/2 - 11*k - 18. Let f = -36 - -25. Let m be q(f). What is the highest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, u: 2}. What is prob of sequence uzzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 6. Let c be (-1)\/(2 + -3) + (-507)\/(-13). Suppose 52 - c = -4*s. Let z be y(s). Solve 3*i = 5*x, -5*x - z*i = -4*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*w = -8, z - 6*z - 5*w = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9705467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60\/29? (a) -1\/7 (b) 0.3 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29041346 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/49082 or 0?\nAnswer: -15\/49082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*s = 2591 + 20611, 2*s = 5*l - 29037. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.22 - 1.64. Let a = d + -0.14. Let h = a + 15.01. Is h bigger than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77135?\nAnswer: 5, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -246767 and 2962332?\nAnswer: 3209099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61185\/(-571060)*2296\/(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8542.124 centuries in decades?\nAnswer: 85421.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.835744897 - 1675.883812897. Let q = r - -0.357068. Let z = -1674 - q. What is z rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*j + 2, -3*j + 2 = -4*j. Let a be d\/14 - -37*(-2)\/(-14). Find the second derivative of 9*p**a - 6*p - 63 - 64 + 127 wrt p.\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(sqrt(275) + 2*sqrt(275))*-1)**2.\nAnswer: 150*sqrt(11) + 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -27. Let b = u + -10. What is the smallest common multiple of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(140)*1 + sqrt(140))\/(sqrt(49)\/sqrt(112) - sqrt(63)\/(sqrt(27)\/sqrt(3)))*5.\nAnswer: -80*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 2:18 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-638)\/(-203) + (-6)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 3*o**2 + 4. Let m be a(3). Is 4\/2*46\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 559*v + 20292. Let d(y) = -3*y. Give d(q(u)).\nAnswer: -1677*u - 60876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -6) + -6 + 1 + -29. Put z, 2, 0 in decreasing order.\nAnswer: 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 52 = m - 58, m - 4 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 3*q - 8, -7*a + 2*q - 11 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n. Let r(o) = 3*o - 12. Let s(h) = -6*h + 21. Let m(w) = 7*r(w) + 4*s(w). Let u be 2\/(1 + (-6)\/10). Calculate u*m(l) - 6*i(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143263*v**3 - v + 3*v - 2*v**2 - 143372*v**3.\nAnswer: -109*v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 8*s - 4. Suppose 3*y - 45 = -4*g + 35, 3*y - 82 = -2*g. Suppose -2*c = -3*k, c = -c - 4*k - y. What are the prime factors of b(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**2\/5 - 15966*y\/5 - 367747\/5 = 0?\nAnswer: -23, 15989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 5*y**3 - 2*y**2 + 16*y**3 + 4*y**2 - 5*y**3 to the form q*y**3 + j + o*y**2 + x*y and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/40840 and -45\/16336.\nAnswer: 81680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*2*(-2)\/4. Let o(v) = -v**2 + 3*v + 14. Let j be o(6). Let r be 15\/21 + j\/(-14). What is the nearest to 1\/3 in n, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -35. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 325 - 286. Calculate the remainder when 2807 is divided by l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86*h**2\/5 - 222*h\/5 + 108\/5.\nAnswer: -2*(h + 3)*(43*h - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.17 or -0.2?\nAnswer: -2.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 4 + 0*s + 0*s**2 - 1\/3*s**3. Let r(t) be the first derivative of -t**3\/3 + 1. What is x(r(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 649292 + 187725. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 14*x + 1\/12*x**4 + 0 - 5*x**2 - 5\/6*x**3. Let w be p(7). Let u(l) = l**2 + l - 5. Calculate u(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13032 and -5?\nAnswer: 13037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(-6)*y)*y*y**(-2)*y)\/(y**(2\/3)\/(((y*y**0)\/y)\/y)))\/((y**(1\/4))**20\/((y\/(y*y**4))\/(y\/y**(-6)))) assuming y is positive.\nAnswer: y**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 - 223 - 2*r + 445.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14971421*j**3*z - 2*j**2*z + 3*j**2 - 5769*j*z - 19*j + 4*z + 1 wrt j?\nAnswer: -89828526*j*z - 4*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 5*c**2 + 4. Let k be p(-5). Suppose -k*j - f = -22 - 45, 2*j + 3*f - 41 = 0. Calculate the least common multiple of j and ((-6)\/5)\/(3\/(-10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31754*t + 29140?\nAnswer: 31754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1082127)\/210 - 5\/(-25). Let z = g + 5146. Calculate the common denominator of 81\/20 and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 - 11*a + 8. Let h be ((-44)\/6)\/(72\/(-108)). Let s(j) = 2*j**2 - 4*j + 3. Determine h*s(x) - 4*p(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1\/2 (c) -6409 (d) 0.962\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 220. Let l = 201.98 + u. Round l to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 14*z**3\/9 + 34*z**2\/9 + 4*z\/3 = 0.\nAnswer: -2, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrzaxrrzrccc. Give prob of sequence xzra.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 88\/24)\/((-2)\/(-4278602)). Let y = a - -494177863\/693. Let d = -8\/63 + y. Is d less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 - 1113365*a - 2226728.\nAnswer: -(a + 2)*(a + 2226728)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + r + 1. Let m(i) = 2*i**3 - 20*i**2 + 1581*i - 5. Calculate 5*k(h) + m(h).\nAnswer: 2*h**3 + 1586*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5976 divided by -4\nAnswer: -1494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*x + 107954 = 107226 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -32, -55, -96, -161, -256, -387?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 11, -39, 4, 0 in descending order.\nAnswer: 16, 11, 4, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34 and 20536.616441812.\nAnswer: 20570.616441812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 6*b. Let m be (-54)\/((-12)\/4) + b. Calculate the greatest common factor of 45 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(77)\/sqrt(7) + -2)**2 - (sqrt(44) + 0)*-5.\nAnswer: -15 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 4 = -56. Let y(k) = 122*k - 5. List the prime factors of y(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 144?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4351 divide 137155706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -28*h**2 + 66*h**2 - 30*h**2 - 6*h - 4. Let q = 12 + 6. Calculate the remainder when q is divided by f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*4 + (sqrt(245) + sqrt(245) + 1)**2.\nAnswer: 48*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 9*k**2 + 2*k + 6. Let i(b) = -b**2 - 15*b - 17. Let t be i(-13). Is q(t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/76*(7 - 6)\/(-1) + 46\/40.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z**3 + 7 + 0*z**5 + 0*z**4 + 0*z**2 + 0*z - 2\/7*z**7 + 0*z**6. What is the third derivative of r(p) wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-2*w**2 - 3*w**2 + 3*w**2) + w - w**2 - w - 2*w**2 + w**2 + 6*w**2 + (0*w + w - 2*w)*(-38*w - 39*w + 143*w) - 2*w**2 + 3*w**2 - 6*w**2.\nAnswer: -61*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.651 + -0.139. Let r = -0.21 + h. Which is bigger: -66 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**2 + 15893651*t - 8701818 wrt t.\nAnswer: -4*t + 15893651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2 + 18*j - 72 = 0. What is j?\nAnswer: -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -28.314 and -94 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o + 4. Let h be (-12)\/(-9) + o\/(-6). Which is the nearest to 1? (a) h (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**3 - 5*y**2 + 5*y - 1. Let u be l(4). Let v = u + -68. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -23*z**6\/6 + 29*z**3\/3 + 29. What is the third derivative of c(i) wrt i?\nAnswer: -1380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -960 - 954 - 4*a**2 + 1909.\nAnswer: -4*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 777480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167.6 - 167.2. Let i be (-10)\/6 - (-1)\/1. What is the smallest value in d, i, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 21\/(35\/5). Solve 0 = v*z - 6*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 72. Let n be -4*(-30)\/(-40)*2\/3. Calculate the least common multiple of n\/(-8)*-6*-4 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/17)*u**4)\/(u**0)**(6\/23) assuming u is positive.\nAnswer: u**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40937 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -13.92. Let o = -0.77 - -0.69. Let l = c + o. What is the smallest value in l, 6\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-19)*r*r**(-2\/11) assuming r is positive.\nAnswer: r**(-200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*f - 7. Suppose -f*d - 810 = -3*m, 5*d + 3*m = 56 - 1398. Let s = -112 - d. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-421)\/((-6624)\/943 + 7 + 0)?\nAnswer: 41, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 610, 5, 3\/7, 0.5, -1\/8 in descending order.\nAnswer: 610, 5, 0.5, 3\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135431*n**2*v**2 - 301*n**2*v - 45933*n**2 - 2*n*v**2 + 119*v**2 wrt v.\nAnswer: -270862*n**2 - 4*n + 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9711 (b) 4 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*h - 40*b**2 + 10*b*h wrt h.\nAnswer: -3*b**2 + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 116637534 divided by -906\nAnswer: -128739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(20) - sqrt(55)\/sqrt(99)).\nAnswer: -4 + 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -0.1113\nAnswer: -0.6678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - 835144.\nAnswer: -835104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 4*d**2 - 2*d + 5. Let p be v(-5). Let q be 2\/(-6) + p\/15. Let h = 0.19 - 0.19. What is the nearest to 1 in h, q, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 24. Does 3 divide l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.12, 5, 1, 2, -1\/343?\nAnswer: -1\/343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*((sqrt(693)*2)\/sqrt(11) + 5 + 0).\nAnswer: -216*sqrt(7) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46227 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 25*w + 540 = 0. What is the smallest common multiple of 24 and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61446 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 223 - (-6)\/(-9)*6. Does 14 divide 18 + -15 - y\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**6\/270 - s**5\/15 + s**4\/2 - 2*s**3 - 95*s**2. Find t, given that f(t) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 914816008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88229814, 88229811, 88229808, 88229805?\nAnswer: 88229802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/15)\/(3\/(-27)). Suppose -4*b - 16 = -0*z - 2*z, 4*z - 4*b - 16 = 0. Suppose -2*p + 0 = -3*s + 9, -2*s + 6 = z. Solve p*r + 3 = -k*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 10}. What is prob of picking 1 g and 1 o?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*w - 24, 2*w + 5*a - 28 = -0*w. Find the second derivative of -10499*y**4 + 10499*y**w + 1 + 21*y**5 - 9*y wrt y.\nAnswer: 420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309 (base 11) to base 14.\nAnswer: 1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -10*z - 188. Calculate the least common multiple of s(-20) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1111\/(-44))\/((-1)\/4).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2809, -3\/8, -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 10*l + 5. Let h be q(10). What is the second derivative of f**2 - 4*f**2 + h*f**2 + 3*f + f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558975*s**3 - 580 + 580.\nAnswer: 558975*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, s: 4}. What is prob of picking 2 s?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 13*c + 14*c - 2*c - 6*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*l**5 - 4*l**4 + 44*l**2 - 3*l.\nAnswer: -1680*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + 3*k)*(-2*k**2 + 2*k**2 - 2*k**4) + (-4*k + 3*k + 2*k)*(5*k**4 - 4*k**4 - 3*k**4) + (-19*k - 86*k - 11*k)*(-3*k**2 + 3*k**4 + 3*k**2).\nAnswer: -352*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*j + 395*j - 166*j.\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 8*j + 6. Give u(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (73*n**3 - 22*n + 22*n)*(0*n + n - 4*n) + 5*n**4 + 0*n**4 - 6*n**4 in the form i*n + m*n**4 + p + g*n**3 + l*n**2 and give m.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Let y = -21 - -25. Let z(f) = 0*f - f - 2*f - y*f. Determine b(z(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2098, -2104, -2110, -2116, -2122?\nAnswer: -2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 323*z**2 - 2050*z + 358345. Give x(162).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7103 = -121*q + 119*q + 55195. What are the prime factors of q?\nAnswer: 3, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 395?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 - (3 + -2 + (-13 + 29 - 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - f + 4. Suppose 28*z = 7*z + 189. Let i(c) = -7*c**2 + 3*c - 9. Determine z*p(w) + 4*i(w).\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/40 - ((-250)\/(-88))\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45760.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 11) + 12 + -5 + (-27 - -6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(176) + 4 + (-1 + sqrt(176) - sqrt(176)) + sqrt(176) + -2))**2.\nAnswer: 256*sqrt(11) + 11280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: What is the tenth root of 200342 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694.0212 centuries to months.\nAnswer: 832825.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 4*g + 5*g)*(-3 + 1 + 1) + (0 - 3 + 2)*(-2115 + 2115 + 48*g).\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m - 3*m + 5*m + 9*m + 0*m + 50872 - 50872.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 1241*k**4 + 1240*k**4 + 11*k - 2478*k**4 as z*k + t*k**4 + g*k**3 + u*k**2 + y and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 44130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4803678.7 rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839664 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69685\/156 + 1787\/4. Which is the nearest to n? (a) 5 (b) -2\/7 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/(-4) + (-1)\/(-4). Let l(w) = -w + 4. Let v be l(c). Suppose k = v - 2. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*o**2 + 108 - 108)*((-o + 2*o - 2*o)*(-3*o + 5*o - o) + (0*o - 5*o - 2*o)*(2 - 2 - o)) in the form v*o**2 + k + i*o + p*o**3 + m*o**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076178.\nAnswer: 2, 3, 83, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*o = -719*o - 252 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012696 to 5 decimal places.\nAnswer: -0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 11*t + 2*z - 78 = 0, 4*z = t - 42. Let q be 23 - (4 - 3\/1). Let y = q - t. Solve y*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189 - 186. Suppose -2*x - 2*k = -9599992, 11703924 + 2696060 = f*x + 4*k. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 644, 1031, 1452, 1919, 2444?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 a factor of 161103812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*d + 779 = 0, 23*d - 20*d = -5*y + 994. Calculate the remainder when y is divided by 55.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2622377*a**2 + 32*a + 38416 wrt a.\nAnswer: -5244754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -3 - 1\/10*a**6 + 9\/2*a**3 - 31*a + 9\/4*a**4 - 3\/20*a**5 + 0*a**2. Determine o so that c(o) = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450283809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50024, -50113, -50202, -50291, -50380, -50469?\nAnswer: -50558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 614 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 42*i**2 + 753*i + 1800.\nAnswer: -3*(i - 25)*(i + 3)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 862 - 874 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 21 = 4*c, 4*l + 16 = 2*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2\/2 + 8*w + 15\/2 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*t + 154, 3*t - 4*f - 76 = t. Suppose -375 + 23 = -t*d. Solve -g + 50 = -d*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a189 + 24b?\nAnswer: -29b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + 2*d**2)*(-13 + 2 + 2 - 5*d).\nAnswer: -10*d**3 - 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g**2 + g. Let j be p(1). Suppose -2*f + 11 + j = 0. What is the greatest common divisor of f and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-111 + 7*g + 111)*(g + g + 2 - g)*(0 - 4 + 3) to the form m + s*g**2 + h*g and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 5*l - 12, 0 = -4*q + 3*l - 31. Does 11 divide -77*(-12 - q - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l - 9. Let r be 1\/(2\/(-84)*-1). Let v be (-4)\/(-20) - r\/10. Let w be f(v). Solve 0 = -6*i + i - 3*u + 25, -3*u = 2*i - w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 3*l**2 - l. Let s be a(-3). Suppose -3*j - 3*w = -21 + 6, j + s*w - 11 = 0. Let r = j + 0. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367221658?\nAnswer: 2, 17, 101, 106937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1895, 11, 2\/13 in decreasing order.\nAnswer: 11, 2\/13, -1\/1895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 6, 87 in descending order.\nAnswer: 87, 6, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513063.\nAnswer: 3, 109, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/31)*h)\/h)**37\/(((h\/((h*h**(-31)*h)\/h))\/h)\/h**22) assuming h is positive.\nAnswer: h**(825\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2327*-2\nAnswer: 4654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 248 = -11*w. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 8 = 4*a, -b - 3 + 19 = 3*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325 + -312. What is the remainder when 20 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 183669875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and 11.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 2*v**2 - 2*v**3)*(2*v + 0*v + 0*v) - 3*v**4 + 4*v**4 - 2*v**4 + (2*v - 2*v + 2*v**3)*(v + 0 + 0) - 1666*v**4 - 1677*v**4 - 1211 + 3344*v**4.\nAnswer: -2*v**4 - 1211","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 721\/3 - 240. Sort l, -5, -0.9, 2\/3.\nAnswer: -5, -0.9, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((1008\/(-294))\/(2\/7))\/(4\/2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 - 21*i**3 - 3*i**3.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 4, 21, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 - (-6)\/8. Suppose 4*n + 2 = 18. Let h = 6 - n. Which is the nearest to v? (a) -4 (b) -1\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -15884.02.\nAnswer: 15884.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/12 + 5*j**3\/3 + 15*j**2\/2 - 5*j + 8. Give m(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 + 663*g**2 + 1882*g - 258. Calculate d(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/24547133 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3227 by 47.\nAnswer: 3227\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-363)\/33 + 135\/44.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44638774 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 385195 or 385196?\nAnswer: 385195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002200 - 100020222210?\nAnswer: -100012220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 2*t + 2*t)*(85 - 85 - 8*t) to the form u + d*t**2 + r*t and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -825 >= -827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -22. Let m be (15\/(-10))\/((-2)\/4). Let p(a) = a + 1. What is the smallest common multiple of p(m) and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 3, m: 3, o: 1, s: 3, e: 3}. What is prob of sequence xb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - m = -13, 5*j - 4*m - 16 = 7. Suppose -l = -2*l + j. Find the third derivative of 2*w**3 + 0*w**l + 0*w**2 - w**2 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47973\/13 - -7383\/2. Find the common denominator of g and -21\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + -6*(0 + sqrt(1700) - sqrt(1700) - sqrt(1700)) + -1))**2.\nAnswer: -5400*sqrt(17) + 551025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 0*o + 134661 - 134608 + 4*o as n + t*o and give n.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 2\/19 (c) -1 (d) 1\/7 (e) 907\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7095443 - -57.\nAnswer: 7095500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 35*w + 246. Calculate v(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -211*h**2*q**2 + h**2 + 89*h*q**2 - 97492*q**2 wrt h?\nAnswer: -422*h*q**2 + 2*h + 89*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23614.3+2\nAnswer: 23616.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*t + 1295 + 989 + 693 + 263 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565066931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n - 235. Let i = 101 + n. Suppose t = -4*t, -t = 2*j - i. Calculate the remainder when j is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9880 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 + 57 - 54)*(2 - 1 + 1)*(632*x - 1233*x + 623*x) as y + i*x and give i.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:38 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*t - t - 5*y, t + 2*y = 8. Let g be -1 + (3 - 3) + -1. Do t and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200.87 + 22.83. Let c = -239 + i. Round c to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 - ((-22053)\/460)\/((-66)\/11) and -9\/920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98653?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z = 95*z - 86054. List the prime factors of z.\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**2 - l. Let o(f) = 2*f + 1. Let i be o(-1). What are the prime factors of n(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 209, 205, 199, 191, 181?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.377244969116?\nAnswer: -4.622755030884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = 30*x + 88. Let y be (8 + x)*1 + -4. Solve 0 = -2*o - l + 1, -y*o - 3*l - 2 = -l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/8438 - 5491033\/12657. Let i = -23303\/54 - b. Find the common denominator of i and 89\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 41 (b) -53 (c) -0.1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 320012221 + -24?\nAnswer: 320012142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -197\/11, 5, 5\/2 in decreasing order.\nAnswer: 5, 5\/2, -197\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:23 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 3*t**2 + (-2*t + 4*t + 0*t)*(40*t - 109*t - 130*t) - 2*t**2 + 3 - 3 in the form b*t**2 + s + x*t and give b.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000040231 rounded to 7 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.499 in 3, -0.05, 1785?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3971*n - 1180 = 3853*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.5, 4364416?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3429 by 89.\nAnswer: 3429\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 1, f: 1, o: 2, d: 1, v: 1}. What is prob of picking 1 d and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = -10. Let g(y) = y**3 - y**2 - y + 1. Let w(i) = -i**3 + 3*i**2 + 4*i - 4. Let n(z) = -3*g(z) - w(z). Determine n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/2)\/g**(2\/3)*(g\/(g**(-1)*g))**36 assuming g is positive.\nAnswer: g**(221\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/12 - 7*l**3\/3 + 49*l**2\/2 + 29*l. Factor x(h).\nAnswer: (h - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528899 is divided by 829?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 14) + 18 - (11 - 21).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2108 = -2*u + 5*g - 100, -5*u + 5047 = g. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -758, -517 in increasing order.\nAnswer: -758, -517, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*x + 2062, -6*x + 3103 = 3*o - 4*x. Suppose -1175 = 2*a + o. Let w = a - -1659. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 810436 + -770029.7. Let p = w - 40410.29966. Let m = p - -4. Round m to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 9*d**2 + 4*d - 24. Let s be l(-8). Suppose 2*j + s = -0*j, -5*h = -2*j - 73. Which is smaller: -8\/3 or h?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/11)*k*k*k)\/k**(-4\/5))**(2\/7)*(k*k*k\/(k**(-1\/2)*k)*k)\/k*k**(1\/3)*(k\/(k\/k**2))**27 assuming k is positive.\nAnswer: k**(134033\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63368930, 63368931, 63368932, 63368933, 63368934, 63368935?\nAnswer: 63368936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 13. Let x be c(-9). Suppose x*f - f = -18. Let a be (f\/20)\/(1\/2). Does -2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -54*m**3 - 34*m**2 - 6*m + 6. Let u(d) = 27*d**3 + 18*d**2 + 4*d - 2. Let x(i) = -6*n(i) - 11*u(i). What is the second derivative of x(t) wrt t?\nAnswer: 162*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + 162. Let x = -20 + z. Suppose x - 1 = 5*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by 654\nAnswer: 31\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1018 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 420151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5094*m**2 - 4315 + 4315 + 5054*m**2.\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2. Suppose -3*s = 4 + 2, -5*i + 58 = s. Let z(k) = k**2 - k + 1. Let v(q) = -3*q**2 - 12*q + 12. Let g(h) = i*z(h) - v(h). Give r(g(n)).\nAnswer: -675*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (10 + -12 - -27).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/75*(-1 - 670\/(-4)). Suppose -4*f = -0*f - 3*k - 249, -2*f - 3*k = -n. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153275 is divided by 39?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1755, -1754, -1753?\nAnswer: -1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(272) + (sqrt(153) + 1)**2.\nAnswer: 10*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 6. Let y(q) = -o + q + 3*q + 0. Let h(d) = d**2 + 49*d + 392. Let r be h(-39). What is y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*y + 3119 + 2746 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5\/8 + 15*b**4\/4 - 301*b**3\/8 + 126*b**2 + 143*b\/2 - 726 = 0?\nAnswer: -2, 4, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let j(x) = 400*x**2 - 2*x - 254. What is u(j(g))?\nAnswer: -400*g**2 + 2*g + 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let u be l(2). Calculate the lowest common multiple of (-1)\/(1\/u) - -20 and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10 + (-2)\/(-10). Suppose q + 4 + 2 = o. Let m = -10 - q. Which is the nearest to 0.2? (a) m (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29763.3*-0.03\nAnswer: 892.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09579 and -0.0266?\nAnswer: 0.06919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 7*x**3 + 0*x**3)*((x - 2*x + 9*x)*(x - x - 2*x) + 3*x**2 - 3*x**2 + 4*x**2) + 0*x**5 + x**5 - 2*x**5.\nAnswer: 35*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01275 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/19))\/x**(-8\/9) assuming x is positive.\nAnswer: x**(314\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47208 is divided by 23545?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/4 + 4*j**3 - 6*j**2 + 13*j + 2. Let g be (1\/1 - 15) + 1. Give l(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446571, 893134, 1339697, 1786260?\nAnswer: 2232823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13*p. Determine b(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -1.13, 315, 5, 95\/11?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0*v**2 + 4*v**5 + 0*v**3 - 36 - 1\/6*v**6 - 3*v - 35\/3*v**4. Suppose u(p) = 0. What is p?\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5683 take away 4?\nAnswer: -4.5683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 3*u**2 + 7*u - 6*u. Let q be c(-1). Let d = 26 - 11. Solve q*k + 3 = d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 8 + -8 + 16 + -5 - -10 - -15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6468)\/56*(-2)\/(-9)*3?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(525)\/sqrt(7) + ((sqrt(243) + -1)**2 - sqrt(3)) - (4 + -3*(sqrt(3) - -1*sqrt(75)))).\nAnswer: 4*sqrt(3) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13853 + -17?\nAnswer: 13836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/144*3)\/((-1)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/11, -3, -4, 264\/7 in decreasing order.\nAnswer: 264\/7, -2\/11, -0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -3*c**4\/4 + 12*c**3 - 27*c**2\/2 - 66*c + 47. Factor n(k).\nAnswer: -3*(k - 11)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2700)*4 - sqrt(2700)) + sqrt(2700) + sqrt(2700))*-2)\/(sqrt(18)\/(3*sqrt(2))*-5))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 2*u**2 + 3. Let n be w(-2). Let l = 68 + -68.49. Let z = l - 0.01. Which is the closest to -0.1? (a) 5 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1 - 32\/4. Let m = a - -14. Suppose -3*i + m = -2. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = 175. Let p = 50 + z. 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: Factor k**5 + 1513*k**4 + 41874*k**3 + 437962*k**2 + 2039821*k + 3565485.\nAnswer: (k + 7)**4*(k + 1485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3689692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 8. Let z be s(-6). Let u be 76\/3 + (-10)\/30. Let d = u + z. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141376362?\nAnswer: 2, 3, 443, 53189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5818 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444627787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 p when four letters picked without replacement from pwwwwwwpxpwxppwppwww.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16141643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-8)\/(v*v*v**(-1\/7)*v*v*v\/(v**(6\/7)\/v*v)) assuming v is positive.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -19, -28, -37, -46?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 8 = 18*h. Suppose -4*m = h*c + 3*c - 378, 0 = 2*c + 5*m - 158. What are the prime factors of c?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h = 35*h - 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 19*p**2 + 31*p - 7. Calculate the remainder when 527 is divided by w(-17).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i**2 + 5*i + 5. Let a(r) = 5*r**2 - 2*r - 2. Calculate 10*a(g) + 4*z(g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/14*(8 - 989\/129).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = l + 3, 5*l = -5*w - 21 + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 41 + 29 = 0. Suppose x + 28 = 7*c. What is the units digit of 83 - (-9)\/c*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 4, -204, 3.\nAnswer: -204, -13, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128087819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 6*j + 1378. Suppose 0 = -10*c + 846 - j. What is the remainder when c is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.04559682.\nAnswer: 0.04559682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 13 = 5. Let x = -0.212 + 0.202. What is the third smallest value in 0.4, c, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**4 - h**3 + h**2 + h - 2. Let f(t) = -7*t**4 - 1573*t**3 + 307331*t**2 - 609951*t + 304182. Let k(y) = 2*f(y) - 18*i(y). Factor k(a).\nAnswer: 4*(a - 390)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.9285 rounded to one dp?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**2 + 150*x + 514. Calculate y(-15).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 50*b.\nAnswer: -5*b*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {f: 6, x: 3, y: 2, q: 3, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -211851*p**2 + 56826.\nAnswer: -423702*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.794 + 0.8. Round c to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 3*k - 71 + 6*k + 9*k - 76 + 214.\nAnswer: 12*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -397, -356, -249, -76?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -0.1, -1, -4, 2\/5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.066600594 - 0.0666. Round k to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2\/5 + 120744*y\/5 - 482656 = 0 for y.\nAnswer: 20, 30166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*-1*1677\/91 - (-54)\/18.\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-44)\/(-4) - (-770)\/(-99). Put -3\/7, -0.3, v, -0.2, 6.7 in ascending order.\nAnswer: -3\/7, -0.3, -0.2, v, 6.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1869)\/(-126) + (-2)\/(-12) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 15, e: 3}. Give prob of sequence eee.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llx when three letters picked without replacement from {x: 3, l: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 170 and 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**3 + 54*b**2 + 8*b - 54. Let p be y(-13). Let m = -28 + 38. Calculate the greatest common factor of p and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 68. Let x be (-1485)\/(-60) + c\/4. Suppose x = 8*h + 1. Solve h*b + 3*m - 2*m + 10 = 0, 3*b + 20 = 4*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -2\/15 (c) -15228\/37 (d) -0.5 (e) 1\/3 (f) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, p: 1, y: 6, z: 3, u: 2}. What is prob of sequence zu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 25 = 5*w - 4*c, 2*c + 12 = 2*w. Suppose 3*h + f - 3 = 0, 0*h - w*f - 6 = 3*h. Calculate the remainder when ((-1)\/1 + -1)\/(-1) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324212011 (base 5) to base 15.\nAnswer: -1c923b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Let v = -216 + 228. What is the third derivative of -164*q**3 + 3*q**2 - v*q**g + 160*q**3 wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 10*t**2 - 3*t - 29. Let u be l(-10). Suppose -23 - u = -4*r. What is the hundreds digit of (3\/r)\/(-3 + 2721\/906)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*b + 9*b**3 - 1879 - 53*b + 109*b - 3*b**3.\nAnswer: 6*b**3 + 2*b - 1879","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 97*f + 349. Is r(3) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 11:39 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1644*w**4 + 35091*w**3 + 39673710*w**2 - 1 wrt w?\nAnswer: -39456*w + 210546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 5)*(-3 + 3 - t)*(2270 + 4568 - 1167 + (0 + 0 + 1)*(1 + 3 - 5))*(-1 + 3 + 0)*(2*t - 6*t + 3*t) to the form x*t**2 + z*t + i and give x.\nAnswer: -11340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2. Let g(d) = 99*d + 64. Let q(f) = 131*f + 64. Let w(c) = 4*g(c) - 3*q(c). Determine o(w(x)).\nAnswer: -54*x**2 - 2304*x - 24576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + -618?\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, 10, -3, 0 in increasing order.\nAnswer: -3, 0, 4, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 r when four letters picked without replacement from {r: 4, l: 9, g: 1}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 10*x + 15. Let y = 7 + -17. What is the remainder when z(y) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -4358.\nAnswer: -5\/4358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -203*p - 339 + 2978 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Suppose -3*n = -s*n - 6. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2423 (base 5) to base 15\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9372, -18754, -28136?\n\"Answer: -9382*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/3)\/2*(-322)\/(-3864)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1454, 2815, 4160, 5483, 6778, 8039?\nAnswer: 9260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 + (-988)\/(-8))*18. Let b = 3136 - w. What are the prime factors of b?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.118 less than -40?\nAnswer: -40.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -325 + 758. Let f = d - 325. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7338 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12788 (base 10) to base 6.\nAnswer: -135112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(-6)\/144*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 796 = 4*q - 44. Suppose -p + q = 50. Suppose -3*b - p = -c - 4*c, 2*c = -3*b + 85. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, k: 1, g: 5, v: 2, c: 1, j: 2}. Give prob of picking 1 j and 1 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 - (12 - 13 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*p + 12*p - 135 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*o + o. Suppose a + 3*v - o = -a, 0 = -a + 2*v - 1. Suppose 0 = -r - a, -4*f + r = -f - 9. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {y: 1, o: 3, m: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1784, 7194, 16228, 28886?\nAnswer: 45168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - 55. Let t = -91 - m. Let h(n) = -n**3 - 15*n**2 + 16*n + 20. What is the tens digit of h(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 45. Let a be (1\/(-24)*-6)\/((-9)\/f). What is the third smallest value in 0.3, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**6\/72 - b**5\/60 - 133*b**3\/3 + 58. Let m(h) be the third derivative of t(h). Let a = 7 + -5. Give m(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -5.58?\nAnswer: -5.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1646762490 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68.2 - -68. Which is the closest to -3\/7? (a) s (b) 1\/11 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o + 117. Let k be v(0). Suppose 0 = -3*h - 3*s + 378, h - s = s + k. Does 46 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 2 - (4 - 9). Let s(x) = -x**3 + 4*x**2 + 7*x - 5. Let i be s(5). Suppose -2*l + 7*l = 0. Solve -i = -u*f - l*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1428 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1*3)\/(75\/50)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/9 (b) 2\/8457 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*-1*sqrt(272) + 4) + (-1*(sqrt(1377) + sqrt(1377) + 3 + (sqrt(1377) - 1*sqrt(1377)) + sqrt(1377) + sqrt(1377) + 4))**2.\nAnswer: 496*sqrt(17) + 22085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 2*v = -16, -j + 43*v = 44*v - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350594014.\nAnswer: 2, 23, 7621609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*k = 0, 0 = 4*y + 2*k + 13 - 37. Which is the nearest to 1\/2? (a) -0.1 (b) y (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 2*f**2 + 2*f. Let w(z) = 7*z**3 + 17*z**2 + 17*z. Determine 51*s(x) - 6*w(x).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/213864 and 19\/11256.\nAnswer: 213864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 3*w**2\/2 + w + 3. Let g be f(1). Is 5\/2 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 68240614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 0)\/((-4)\/4). Suppose a*m + 2*m + 23500 = 0. What are the prime factors of (-4)\/34 - m\/68?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/22)*p*p*p**(-14))**(7\/5) assuming p is positive.\nAnswer: p**(-1687\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(0*i - 31*i + 2*i).\nAnswer: 58*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568352368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 2 - -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + 2*s + 2. Let h(y) = -y**2 + y + 1. Let p(c) = -c - 1. Let x be p(1). Let i(m) = x*h(m) + b(m). Let l(o) = -12*o**2. Determine l(i(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*s - 341 = -37*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 165*k**3 - 6*k**2 + 5*k + 1. Determine o(1).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/2 or 13054?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*j**4 + a*j**3 + 23*a*j - 4*a + 46*j**4 + 3*j wrt j?\nAnswer: 36*a*j**2 + 6*a*j + 552*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1027292 divided by -76.\nAnswer: -13517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23395 + 0.1\nAnswer: -23394.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1403487 divided by 6.\nAnswer: -467829\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -12374199.50000038 - -12374204. Let x = a - 4.5. What is x rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191.02 - -191. Sort 3\/7, 0, s in descending order.\nAnswer: 3\/7, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*-0.0890979.\nAnswer: -10.6026501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71452 is divided by 803.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3136*c**2 - c**4 - c**3 - 3136*c**2 + 5)*(-3*c + 0 + 0).\nAnswer: 3*c**5 + 3*c**4 - 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 - -89. Suppose 4*u = -4*m + 40, 6*u - 2*m = o*u + 5. Let n(i) = i**2 - 5*i - 1. Let r be n(6). Solve q = r*q, -s - 2*q = u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/3)*d**(-1\/2))\/((d**(-3\/4)\/d)\/d*d\/(d*d**(-2\/5))*d)*d**(-1\/4)\/(d**(1\/7)*d)*(d**(-2\/3))**(-1\/6) assuming d is positive.\nAnswer: d**(389\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/10))\/((z\/z**(-7))\/z*z*z*z*z))\/(z**(-2)*z**(-11)) assuming z is positive.\nAnswer: z**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r + 6, 4*d - 228 = 4*r. Let z = d - 21. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -61*m + 71. Let d be j(-8). Suppose -4*z - d = -17*z. Calculate the highest common divisor of 387 and z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -600*x**2 - 2*x - 10. Let o(z) = -200*z**2 - z - 4. Determine -3*h(v) + 8*o(v).\nAnswer: 200*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h - 18 + 22 + h + 2*h - h. Let z(s) = 3*s - 5. Give -5*m(y) - 4*z(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6689911 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + b?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3808 and 31\/272.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1524.027, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9072 and 294?\nAnswer: 63504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1948015, 3896026, 5844037, 7792048, 9740059?\nAnswer: 11688070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 36 = 4*p, 4*p + 33 = -p + j. Let g be (-27)\/p + -3 + 1. Put -0.3, g, -5 in descending order.\nAnswer: g, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/33)\/((-15)\/(-55)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 18620?\nAnswer: 18620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 + -0.4. Let w = -2.5 + m. Let j be (-21)\/34 + (-3)\/(-6). Put 0, j, w in decreasing order.\nAnswer: 0, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2*9\/(-3). Suppose -h*c + 18 = 3*f, -10 = -0*f + 5*f - 5*c. Suppose 0 = 2*y + f*y - 1420. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:04 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 5*w - 4. Let z be j(7). Suppose 4*n = -z - 10. Does 34 divide 1048\/20*n\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.031, 694, 14?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + (36 - 26) - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 14*p - 3. What is w(9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - -b2770?\nAnswer: b2794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:26 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80\/139 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10040616*b**2 + 3915401*b.\nAnswer: 20081232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -3 (c) -5 (d) -1340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/60 - d**3\/6 + 34*d**2. Let m(s) be the third derivative of -s**5\/15 - s**4\/12 + s**3\/3 - s**2. Determine 3*a(c) + m(c).\nAnswer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -353*f + 25?\nAnswer: -353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5 + 1. Let j be l\/(-17) + 5 + (-530)\/170. Let d(w) = w**3 - 3*w**2 + 2. Let v be d(3). Solve 0*z - 5*f = -3*z - j, 3*z + v*f = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 2 - 3*p**3 + 7*p**3 - 12*p**2 + 30*p**2 - 3*p**3 + 3*p in the form j*p**3 + y*p + s + c*p**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.2. Let n = -48810 + 48809.1. What is the second smallest value in 0.3, t, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21795 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 13*b + 22. Let n be f(-11). Let x(o) = -o**2 - 2*o - 4. Determine x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 1\/3 (c) 195884 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 697290 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -0.2 (c) -2 (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22166 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 7*c**2 - 26*c**2 - c - 8*c**2. Calculate n(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/96 - 60\/720. Let h(d) be the second derivative of q*d**4 + 0 + 3*d + 0*d**2 + 0*d**3. Solve h(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8004, 0, -1 in decreasing order.\nAnswer: 8004, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2497, 0, 4, 2 in ascending order.\nAnswer: -2497, 0, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-552)\/(-120) + (-2)\/(-5). Suppose -3*m - 3*i + 731 + 1384 = 0, x*i - 1416 = -2*m. List the prime factors of m.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 60, -2\/13, 0.1, 2, 1\/4, 2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524210.4 months in years?\nAnswer: 43684.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/4, -0.5, 2\/27, -5?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*r + 10, -2*r + 10 = -6*k + 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4284128 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s**2 - 2*s**2 + 0*s**2)*(-1120*s**2 - 1218*s**2 - 1126*s**2) in the form x*s**2 + h*s**4 + a + k*s**3 + o*s and give h.\nAnswer: -6928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -16*o**2 - 171*o + 55 = 0.\nAnswer: -11, 5\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by -144129.\nAnswer: -106\/144129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -48, -89, -140, -195, -248, -293?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 82, 1\/3, 5, -0.5, 0.5, -451?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 165?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36605899?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 = -2*r - 365 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 106 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 3, 5, -32, -95, -1, -6 in descending order.\nAnswer: 5, 3, -1, -6, -23, -32, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49062 and 11934?\nAnswer: 441558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/((-494)\/91)*-3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 210 = -2*s - 0*s, -343 = -3*s - u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by -6.\nAnswer: 85\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 - 2*t - 1. Let r = -25 + 12. Let p = 9 + r. Let b be -1 + p + 9 + -5. Determine k(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -229*m**3 + 77*m**3 - 101*m**3 + (-22*m**3 - 6*m**2 + 6*m**2)*(2 + 1 - 5) to the form b*m**2 + v*m**3 + g*m + k and give v.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 2*p**2 - 2*p**2. Let u = -8 + 15. Let c(v) = 7 - v - u. Calculate c(r(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(1331)*-4*-3 - -6*(sqrt(1331) + (sqrt(1331)*-4 + sqrt(1331))*2)*3)**2.\nAnswer: 25347564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1 - -3) + 7. Suppose i*g - 4*k = -0*k + 1091, 2*k = -3*g + 637. What are the prime factors of g?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 4*v + 6. Suppose v*w = 15 + 48. Let g be 9\/7 - 6\/w. Which is bigger: 2\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 3:14 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 82 + 82)*(n - 5*n + n) + (-2*n + 5*n - 2*n)*(n - 3*n + 6*n) - n**2 + 4*n**2 - n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1100011101000100111001 (base 2) to base 12\nAnswer: 1115449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 694, 334, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658658532?\nAnswer: 2, 3, 7, 7841173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8*n + 10. Suppose s = 2, -g - s = n*g + 52. Let w be 18\/27*g\/(-7) - 2. Put 0, 16, w in ascending order.\nAnswer: w, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143669 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4721 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -622, -603, -558, -475, -342, -147?\n\"Answer: 2*j**3 + j**2 + 2*j - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.09304867.\nAnswer: -0.018609734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-3) - 3)*(-36)\/504.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6323 or -6357?\nAnswer: -6323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a tonne in kilograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.42 < 63578\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 192882863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(432) + -4) + 4 + sqrt(432)*-1)**2*5.\nAnswer: -7680*sqrt(3) + 35840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 4*i + 4. Suppose 0 = -3*d + 6 + 6. Let n be b(d). Find the second derivative of 3*o + 3*o**n - 5*o**4 + 4*o**4 wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130827200 divided by -10.\nAnswer: -13082720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 164*d + 81*d + 84*d.\nAnswer: d - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 15, 0, -2910 in descending order.\nAnswer: 19, 15, 0, -2910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10010 and -0.26?\nAnswer: 10010.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17206883 to the nearest integer?\nAnswer: 4148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1637 - -4 - (1 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 21*k = -45, -6*w + w - 9 = -3*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(61\/((-3416)\/(-84)))*-321.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1528*i = v + 1523*i + 26, -2 = -3*v - i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 11.9496. Let b = 2.1796 - a. Round b to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/273 - (-68)\/70?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-2)\/(-12)*-2). Suppose 4*u + 6 + k = 0. Let t = 7 + -11. Which is the nearest to 0.1? (a) u (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 349851 and 20208?\nAnswer: 5597616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(27)\/(sqrt(45)\/sqrt(5)) - ((sqrt(3)*-1 - sqrt(3)) + -1)**2) - (sqrt(60)\/sqrt(5) - (sqrt(3) + (2 + sqrt(3) + -1)**2)).\nAnswer: -4 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixl when three letters picked without replacement from xxiixxililxlxil?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + n = -18, 6 = -n - n. Suppose -5*h + 4 = -6. Find u, given that 3*u**3 - d*u**2 + 3 + 2*u**h - 3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 2*p)*(2 - 2 + 2)*(77 - 26 - 41)*(0 + 1 - 3).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 684*g**2*u - 2*g**2 + 16589*g*u + 527357481*g + 2*u with respect to u.\nAnswer: 684*g**2 + 16589*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 75\/2 (b) -0.15 (c) -8.8 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3 - 292*c + 343*c to the form z + d*c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 7*u**5\/5 - u**4\/3 - 7*u**3\/6 - 24*u**2. What are the prime factors of b(-1)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3204920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x**3 - 4*x**2 + 1\/4*x**4 - 65 - 54*x. Differentiate n(s) wrt s.\nAnswer: 3*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-56) - 19\/(-7). Suppose d = b + 1. Let s(k) = 7*k + 4 - 3*k**2 + 4 - 6*k**3 + 5*k**3 - 2*k**b. Calculate s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*y + 5*y + 13*y**3 - 6*y**3 wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 3*f**3 + f**3)*(9*f - 24*f - 24*f).\nAnswer: 39*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 153, 348, 621, 972?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -18*j**2 + 253*j + 1. Let b(y) = -17*y**2 + 253*y + 1. What is -4*b(o) + 3*c(o)?\nAnswer: 14*o**2 - 253*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 217 and -25913323454.\nAnswer: -25913323237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 3*b**2 - 12*b + 6. Let s be c(5). Let f be (-6 + 1)*12\/(-15). What is the tens digit of (-16)\/f*31\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**4\/12 + 92*f**2 + 3*f. Let t(v) = -1418*v. What is h(t(a))?\nAnswer: 2836*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 4*w + 1. Let h be y(-6). Let g be (-1)\/((-3)\/(-23)) + h\/(-39). Let c(v) = v + 14. Calculate the lowest common multiple of c(g) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:47 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 666795413 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 88\/36 - 4\/9. Solve b*d - 2 = n, 3*d + 9*n = 5*n - 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 679655.3g?\nAnswer: 679.6553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508540?\nAnswer: 2, 5, 11, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/846370 and 11\/17290.\nAnswer: 209053390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylrr when four letters picked without replacement from lyllrlrlr.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**4 + 3*n**4 + n**4 + 0*n - 2*n**4 + 0*n + (3*n**4 - n**4 - 4*n**4)*(0 - 2 + 3) - n**4 + 2*n**4 - 2*n**4.\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 33, -1, -3, 4 in increasing order.\nAnswer: -3, -2, -1, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334.8739 seconds to microseconds.\nAnswer: 334873900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -45. Let n = 44 + y. What are the prime factors of -3 - n*(-3)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.404302 and 2341.\nAnswer: 2340.595698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16873 divided by 299?\nAnswer: -16873\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*l - 4, r - 5*l + 26 = -l. Let b = r - -11. Solve -5*h + b = 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:21 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 6*s**5\/5 - 2*s**3\/3 - 647*s**2\/2 + 521. Find the second derivative of o(a) wrt a.\nAnswer: 72*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4322, -8646, -12970?\n\"Answer: -4324*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2697 (base 10) to base 2.\nAnswer: -101010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 8. Which is the third smallest value? (a) -1\/4 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*q + 2830 = -8070 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k = 4*y - 74, -k + 487*y + 4 = 4*k + 489*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264623244 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - 8*s**2 - 7*s - 4. Let j be y(-7). Suppose 0 = -3*n - 0*h - 3*h + j, 4*n = 5*h + 452. What is n rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100011110101 (base 2) to base 3.\nAnswer: 112101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 7*i - 3. Let l be p(-6). Let q(b) = -l*b - 4*b**2 + 6*b**2 + 3*b. Let y(o) = -o**2. Determine q(y(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 2976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:49 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/380863275?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 9*w + 14. Let c(p) = 3*p**2 + 7*p + 15. Let f(q) = -6*c(q) + 5*i(q). Let j be f(-4). Let n = 6 - 9. Sort j, -5, n in decreasing order.\nAnswer: j, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -0*g + 4*g. Let o = 26 + g. Do o and 11 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.147208 and -575.\nAnswer: -84.6446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -657\nAnswer: -1\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*a**3 - 5 - 27*a**3 - 2)*(-2*a - 7 + 7) - 2*a**4 + 5*a**2 - 5*a**2 in the form m*a + v*a**2 + o*a**3 + d*a**4 + n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-487)\/(-48)*28\/42. Let j = o - -37\/9. What is the common denominator of j and (2\/(-11))\/((-1)\/6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 2370.\nAnswer: 97170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1187, -1189, -1193, -1199?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t - 100*t + 3423 = 30*t + 12400 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10223331 - 10?\nAnswer: -10223341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7240?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 56 (b) -2\/1015 (c) -2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 100347 = -44*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-2)\/(-1))*-5. Let t(g) = -4*g + 32 - 32 - c*g. Does 20 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -45, -111, -197, -303, -429?\n\"Answer: -10*y**2 - 16*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/6 and -29\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630, -1395, -2310, -3375, -4590, -5955, -7470?\nAnswer: -9135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 + 3. Let u(q) = q**2. Let d(b) = -u(b) + x(b). Differentiate d(h) with respect to h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 46*z - 143. Calculate p(43).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**8\/168 + 31*x**7\/210 - 92*x**5\/15 + 58*x**2 - 2*x. Find the third derivative of y(d) wrt d.\nAnswer: 120*d**2 + 744*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b\/(b\/(b**(-33)\/b)*b))\/b)*(b**1*b)\/b*b assuming b is positive.\nAnswer: b**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 2. Let o be h(1). Suppose 2*l + 7 - 89 = -3*d, 2*d - o*l = 33. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 94159886\/5 and 18831976 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 64*b**2 - 36*b - 11092. Calculate c(-66).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -0*s + 3*s. Solve s = 5*b + 9*b + 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 192.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 + 1580*x - 124820 = 0. What is x?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157486 + -157472. Let a(c) = 12*c - 1. Calculate the remainder when a(3) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000734111 rounded to 7 dps?\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -620*a**3 + 404 wrt a?\nAnswer: -1860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/2 + 4669369*p - 21803006858161\/2 = 0.\nAnswer: 4669369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -q. Let v = 1.3 + -1.3. What is the nearest to v in 1, q, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 412 = 2*m, 0 = 2*x + 3*x - m + 521. Let l(c) = -c**2 + c - 31. Let b be l(7). Let r = b - x. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**2 + 18760*x - 21996100 = 0.\nAnswer: 2345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93268 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4100 divided by -2050.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 1:08 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -2\/5 (c) 2\/5 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -947.01 to the nearest integer.\nAnswer: -947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15 + 15 - 9*a. Let j(v) = -2*v. Calculate j(z(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 381\/17 >= -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 3480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6697 minus -92057.7?\nAnswer: 92060.3697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/363, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9.4. What is the nearest to -1 in -0.3, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Let u(b) be the third derivative of b**4\/24 - 20*b**3\/3 - 34*b**2. What is u(t(d))?\nAnswer: -d**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126230 and 42110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 350.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1351 - 1333. Calculate the lowest common multiple of q and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*(-432)\/(-3168)*8*-2.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 8*l - 12 = 4*c, -16 = -2*l + 2*c. Solve 3*d - 2*u = l, d - 6*u + 8 = -11*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202300033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1944\/(-1512))\/(3\/28)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-20)\/(-14))*24\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1937, 1942, 1949, 1958, 1969, 1982?\n\"Answer: f**2 + 2*f + 1934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*c**2 + 3442*c + 2708*c**4 - 2710*c**4 + 4*c**3 + 3679*c + 19*c**2 wrt c?\nAnswer: -24*c**2 + 24*c + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - sqrt(50)*1)\/sqrt(10) + (sqrt(5) + 1 + sqrt(5) + sqrt(5))*-2 + -4.\nAnswer: -6*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 5*p + 7, -121*p - 1 = -5*i - 123*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -724 - -724.03. What is the closest to -11 in -5, c, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-126)*22197\/2114*-186.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*a + 138 = 633, 2*i - 3*a - 201 = 0. Suppose 0 = -5*w + 44 + i. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 3. Let m be d(3). Factor m*h**5 - 12*h**3 - 16*h**2 + 4*h - 34*h**4 + 54*h**3 - 6*h**2 + 10*h**5.\nAnswer: 2*h*(h - 1)**3*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (29\/(-2) + 1)\/(30\/(-40)). Let m be (3 - 65\/20)\/((-1)\/12). Solve 2*f - 13 = i, -2*i = f - m*f + s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 + 2. Let j = f - 2.2. Let u = j - -2. Which is the second biggest value? (a) 0.2 (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2904 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 - 106*k**2 + 132*k - 128. Does 68 divide h(53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5065 is divided by 2527?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 13*c - 55206. Let q = 13353 - c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 3217, -2, 3 in descending order.\nAnswer: 3217, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u + 395. Let v(i) be the third derivative of -i**4\/12 + 5*i**2 - 2*i - 90. What is v(a(q))?\nAnswer: 14*q - 790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -249.302*0.4\nAnswer: -99.7208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -63670 times 210?\nAnswer: -13370700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 27. Let d(a) = 4*a + 29. Let c be d(-6). What is the remainder when w is divided by 11 + -4 + -5 + c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = i - 3*f, -5*f = i + 9. Suppose 0 = -2*s + 3 - i. Suppose -j = -s - 3. Calculate the highest common divisor of j and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121228 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -894, -895, -898, -903, -910?\n\"Answer: -l**2 + 2*l - 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.382786 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*n + 58*n - 85*n - 10*n**3 - 24*n to the form w + u*n**2 + x*n**3 + c*n and give c.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3362 + 6278 = 3*a, -5*a - 5*v = -16040. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**3 - 2*r**2 - 2*r - 9. Let i be g(4). Calculate the greatest common divisor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:21 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101220111 - 220012?\nAnswer: -102210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.4 - -17.4. Which is the nearest to 2? (a) 1\/3 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -281637 or -281638?\nAnswer: -281637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 31*i**2 - 2*i + 1. Let j be 2 + 30\/(-3) - -9. Give c(j).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:18 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 452212.0114 + -452264. Let i = 52 + p. Let j = i - 0.01. Round j to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -13*j + 11498. Let d = -3659 - j. What is d rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.3. Let d = 1 + m. Let t = -272\/1143 + 2\/127. What is the closest to t in -0.3, d, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g**2*m**2 - 28*g**2*m - 67*m**2 wrt g?\nAnswer: -8*g*m**2 - 56*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*j + 866 - 698 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/66561 + -514339\/133122. Let d(m) = m**3 + 6*m**2 + 11*m + 6. Let q be d(-7). What is the common denominator of (-1 + 0 - -1) + 486\/q and z?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -17, 3 in increasing order.\nAnswer: -34, -17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 272899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4 - 8*g**3 + 8*g + 4 = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/25)\/((-2)\/(-10)). What is the smallest value in 0, c, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 32630*n**2 - 17602752*n + 7161799168\/3.\nAnswer: -2*(n - 48401)*(n - 272)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9024)\/5640*(-85)\/(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 285 = 4*o, o = -4. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = d. Suppose 0 = -5*n - 3*f + 31, 5*f = 2*n - d*f. Suppose 4*k - 7*k + 6 = 0, n*l - 128 = k. Solve -4*i = 2*a - l, -5*i + 3*a - a = -19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(13))*2 + -2)**2 + (sqrt(26)\/sqrt(2) + -3 + sqrt(13) - (sqrt(65) - (2*sqrt(65) + sqrt(65)))\/sqrt(5))**2.\nAnswer: -40*sqrt(13) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i + i + 14*i + (-i + 2*i + 0*i)*(-3 + 1 + 5).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1571.177 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, 2, 45, 118, 227, 378, 577?\n\"Answer: g**3 + 6*g**2 - 6*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 1. Suppose -8 = 4*f - 0*m - 4*m, -3*f - 5*m + 34 = 0. Let g(y) = 3*y + 2. Calculate f*r(d) + 2*g(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3968 + -3965. Solve -4*l - 10 = -3*p, -6 = 2*l - h*p - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) 0 (c) -129 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 75223.\nAnswer: 75222.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/5 + 1124*l**3 - 2627437*l**2\/5 - 1124*l + 2627436\/5 = 0. Calculate l.\nAnswer: -6054, -1, 1, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1969\/1200 - 67\/48. Calculate the common denominator of 113\/280 and f.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-272)\/(-40))\/(4\/5)*2. Determine l so that 0*l**3 - b*l**5 + l**3 + 16*l**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222251 (base 6) in base 5?\nAnswer: -1044204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -1, -5\/6, 0.4 in descending order.\nAnswer: 0.4, 0.07, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 9 - -7) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000207 to the power of 1\/2, to the nearest integer?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/31 and 24\/11.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 11 = -f + 5*q, 3*q = 6. Let i be (-1 - f) + (5 - 3). Suppose i = -3*n - n + 640. What is the greatest common divisor of 64 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 96*y**2 + 4258*y - 126. Calculate b(129).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182940516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142644996.\nAnswer: 2, 3, 13, 101599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:55 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33216480 and 192?\nAnswer: 66432960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 6 - 6 + 2 - 4*d. Let o be n(4). Let z = -15 - -33. What is the highest common factor of z and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4239 (b) 1\/31 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 9*t**2 + 16*t + 16. Let a be d(-7). Let p = 2 + 3. Solve -p*u = 0, -a*z + 2*u = -3*u + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 12372*q**2\/11 - 49464*q\/11 - 4496.\nAnswer: -2*(q + 2)**2*(q + 6182)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.06 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93982 and 10.\nAnswer: 469910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6822 - -6815.754. What is p rounded to 1 dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 9*c - 2. What is the units digit of h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.094 and 0.01.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 750*r - 810*r + 111912180. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.05 (b) -2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c**4 - 21*c**3 + 2*c**2 + 3*c - 4. Let s(l) = -l**4 - 2*l**3 - l**2 + 1. Let k(x) = -i(x) - 2*s(x). What is the second derivative of k(q) wrt q?\nAnswer: -108*q**2 + 150*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/16 - 255\/12. Let b = i + 24. Suppose -z = 5*c + b*z - 66, z = -2*c + 26. Solve -c = -5*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2) + 66\/2. Let z = k - 2. What is the highest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -13*o - 100. Let s(l) = -28*l - 196. Determine -13*k(n) + 6*s(n).\nAnswer: n + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h - 8. Let w(p) = 14*p + 9. Let u(q) = -5*d(q) - 4*w(q). Calculate u(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -2071520?\nAnswer: 2071518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -47?\nAnswer: -5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 236, 329, 422, 515?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246794319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-four fifths of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (0 - (-4 + 0)). Let g = x + 5. Let a(b) = -2*b - 3. Let u be a(-2). Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 1 - 3*y - 4*y + 2*y.\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 322344 and 95645?\nAnswer: 75750840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142424430 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*a + 2*a**3 + 6*a**4 + 1 + 7*a**4 - 20*a - 12*a**4 in the form i*a**2 + u*a + k*a**4 + b*a**3 + o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(2 - 3*o - 2)*(-518 + 9 - 284)*(4*o**2 - 3*o**2 + 4*o**2) as c + h*o**3 + b*o + l*o**2 and give h.\nAnswer: 23790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 38 + 138. Let h = s + 15. Calculate the common denominator of -11\/19 and (-8)\/(-40) + 83\/h.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*h - 29, 4*a - 6*a + 17 = 3*h. Suppose -w = -a + 2. Let v(p) = -p**2 - 3*p**2 + 3*p**w + 3*p**2. Let q(z) = -5*z**2. What is q(v(r))?\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3 (b) -167 (c) 0 (d) 175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96311.75 years to centuries.\nAnswer: 963.1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7026 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qddddddqqqdddddq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -493089040 - -0.5.\nAnswer: -493089039.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -143, -1066, -3573, -8456, -16507, -28518, -45281?\n\"Answer: -132*x**3 + x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1120 + 15332130?\nAnswer: 15333250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 219, 329, 441?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14339 is divided by 326?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 12) to base 3\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(2 + 2 - 6)*(2*z + z + 7*z)*(z**2 - 6*z**2 + 4*z**2).\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 2*c**2 - 5*c**2)*(-6*c**2 + 5*c - 2*c - 2*c**2).\nAnswer: 8*c**4 - 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/5 and 32\/1261.\nAnswer: 6305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -58*w**3 + 929*w**2 - 167*w + 14. Calculate m(16).\nAnswer: -2402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from vteovvppvvapoo.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.716 - -0.2?\nAnswer: 0.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.22153818 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -99871.69 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2432 - -2925. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-1 - 4 + 3)*(-3 + 2 - 23*l**2 - 1) + 8 - 8 + 4*l**2 in the form w*l + t*l**2 + u and give t.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19411689 and 112167?\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m\/(m\/m**(-4\/9)))**23\/(m**15*m*m\/(m**(-1\/15)*m))**43 assuming m is positive.\nAnswer: m**(-34654\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 390308 - 1543759\/4. Let w = r - 4393. Calculate the common denominator of -11\/71 and w.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 13522913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = -0. Let n be (11\/1 + 0)*k. Suppose 10 = -6*x + 16*x. What is the greatest common factor of n and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**20*o*o**(-3)\/o)**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 + 1 + 26*p - 28*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1961590, 1961591, 1961592, 1961593?\nAnswer: 1961594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513928.7 decades to years.\nAnswer: 5139287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b. Let o(l) = -512 - 418*l**2 + 257 - 693*l**2 + 255. What is f(o(r))?\nAnswer: -2222*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4 - 17084*r**3 + 85348*r**2 - 119460*r + 51192 = 0. Calculate r.\nAnswer: 1, 3, 4266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -412895*z**5 + 3*z**4 + 16180659*z.\nAnswer: -8257900*z**3 + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghkgzj. What is prob of picking 1 z and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -48 * -409\nAnswer: 19632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2330669, 2330667, 2330665, 2330663?\nAnswer: 2330661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7947160 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 844702200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 16*f**2 - 18*f + 24. Let l be g(17). Let w(v) = v**3 - 7*v**2 + 2*v - 9. Calculate the remainder when (-14)\/(-2) + 3 + -4 is divided by w(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f + 8. Let h be s(10). Calculate the highest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 1.2. Let q(d) = 21*d**2 + 148*d - 125. Let k be q(-8). Which is the closest to p? (a) -0.3 (b) k (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 21*l - 64973 = -19*l, -5*d - 4*l = -64979. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(1\/14))**6 assuming h is positive.\nAnswer: h**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 122*w - 27*w + 148*w.\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17188440 a multiple of 4540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21.63455l?\nAnswer: 21634.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)*c)\/c)**(-18\/5)\/(c**(-15)\/c**(4\/3)) assuming c is positive.\nAnswer: c**(263\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 19, -3, 17, 8 in descending order.\nAnswer: 19, 17, 8, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-5 - 3) + 20) - 5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/19176 and 19\/1860072.\nAnswer: 1860072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -24\/4821763?\nAnswer: -24\/4821763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -0.02, -2\/31, -5, -0.1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.92 + 0.08. Suppose -2*a + 29 - 417 = 4*y, 3*a = -2*y - 198. Let n = -670\/7 - y. Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 1215214?\nAnswer: 8506498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9327101 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2044 - 278 = -9*m. Let d be 0 + 2\/(-12) + (-731)\/m. What is the biggest value in 0.5, -2, -4, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.636606003 to three decimal places.\nAnswer: 0.637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1859 - -1880. Solve 24 = -f*h - 39 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(125) + -5*(0 + sqrt(125)) + sqrt(125))*4*1 + 3.\nAnswer: 3 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*z - 4950 = 17556 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 285 = 5*p, -p - p - 5*z = -123. Suppose 2*h = 4*h - p. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-1*(-2 - -3). Let f = -16621\/3955 - -2\/791. Is f not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 5*c + 0*c)*(c - c + c**2) + 0*c + 3*c**3 + 0*c + (-2*c + 3*c + 0*c)*(4*c**2 - 4*c**2 + 3*c**2).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3572.1 + -3572. Let x = -0.012 - -0.112. Which is the closest to x? (a) 8 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144052390?\nAnswer: 2, 5, 17, 847367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 718*t**3 - 2*t**2 - 19*t + 37. Is w(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444406 is divided by 481467.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5389 divided by -783?\nAnswer: 5389\/783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = -1, 2*s + 7 = v. Let u be ((-28)\/21)\/((-2)\/6). Is u*(2 - -2) - s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -425\/12?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43368 and 7800?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 + (3 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 327 - 404.3. Round l to the nearest integer.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -250, -149, -48, 53?\n\"Answer: 101*g - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**3 - 168*z**2 + 331*z**3 + 168*z**2.\nAnswer: 347*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18104, 36311, 54518, 72725, 90932?\n\"Answer: 18207*w - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -38?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-748 - 1313 + 547)*(15*b - 10*b + 13*b) to d + n*b and give n.\nAnswer: -27252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*d**3*s - 124*d**3 + 3*s**2 - s with respect to s.\nAnswer: -12*d**3 + 6*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1 + -6.5. Let r = 7.4 + i. Which is the nearest to -0.1? (a) 3 (b) r (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340\/(-1425) + (-4)\/(-38)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3931651, 3931661, 3931671, 3931681?\n\"Answer: 10*i + 3931641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnbnbnnbnn. Give prob of sequence nbnb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -1280?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.467 - -0.067. What is the fourth biggest value in -3\/2, -2, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6224.678t in kilograms?\nAnswer: 6224678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5244*r - 115. Let k(n) = -92*n - 2. Let t(v) = -2*c(v) + 115*k(v). Let j(s) = -s**2. Determine t(j(o)).\nAnswer: 92*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 1. Let k(o) = o + 1. Let g(s) = -3*k(s) + t(s). Differentiate g(l) with respect to l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1932 divided by -85.\nAnswer: -1932\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(1\/3)*s)\/s*s*s*s)**0)**(-37))**(-12\/5) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -15. Let z(x) = -21*x**d - x - x + 134*x**2. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (10 - 7 - 768\/1). Suppose -f - r = -9*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1562 is divided by 330.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-1920))\/(3275\/(-262)). Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1317112 and 391355.\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -2*d - 20*d - 198 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020121769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2. Let w(v) be the third derivative of 0*v + v**2 + 0*v**3 + 0 - 1\/24*v**4. Determine w(q(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**5\/20 + 7*g**4\/12 + g**3\/3 + 3*g**2\/2 + g - 24. What is w(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {h: 5, t: 8}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r + 5*r)*((3 - 1 + 0)*(-2*r**2 + r**2 + 0*r**2) - 17*r**2 + 55*r**2 + 19*r**2).\nAnswer: 165*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228504 is divided by 64580?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, -1.05, 757 in ascending order.\nAnswer: -1.05, 1, 12, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9720 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*(-49)\/(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - -1) + (-39)\/(-44) and (260\/64)\/(-2*6\/12*-1)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 8*u**2 + 6*u - 7. Let r be p(7). Let i be (-36)\/3 - (9 + -7 + 0). List the prime factors of ((r - -1)*1)\/(2\/i).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94166167?\nAnswer: 151, 623617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 247460292 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/23 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582 = 3*y - 36. Suppose 0 = 7*w - 158 - y. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(200) + 5 - sqrt(200)) + sqrt(200) - 4*-2*sqrt(200).\nAnswer: 7 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 246389358?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 g when four letters picked without replacement from {i: 1, j: 1, g: 1, y: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i + 173 + 2*i - 8*i - 5*i.\nAnswer: -i + 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*n - 4. Let f = n - -3. Let t be (370\/(-629))\/5 - 38\/(-34). Put -3, t, f in decreasing order.\nAnswer: t, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 67426699 + 0?\nAnswer: 67426699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, a: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*-11*40\/2200*1*-65\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198115454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12129\/7 + 1733. What is the second biggest value in -18, -1\/2, -5, v, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1090*t - 294*t**4 - 1090*t + (t - 2*t + 2*t + 1)*(0*t**2 + t**3 - 2*t**2 + 0*t**3).\nAnswer: -293*t**4 - t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 403442007 and 1.6.\nAnswer: 403442008.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64200861.\nAnswer: 3, 53, 134593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -18*q**4 - 13*q**3 + 35*q**2 - 14*q - 2. Let d(a) = -19*a**4 - 13*a**3 + 35*a**2 - 18*a - 3. Let w(c) = -2*d(c) + 3*i(c). Factor w(b).\nAnswer: -b*(b - 1)*(b + 2)*(16*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -554 + 559. Suppose -5*h + 272 = 4*v, -n*v + 340 = -0*v + 5*h. Calculate the highest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 377352*d + 1132074.\nAnswer: -2*(d - 188679)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*y - 4*y = 4, -5*y = -25. Suppose 0 = 2*r + 2*r - j. Solve -4*u + 32 = -r*a, 13 = -4*a - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 12 - 14*g - 15.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/6*(-3)\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89.466 + -0.166. Let z = f - 85. Let i = z + -4.3108. Round i to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/24*-1)\/(18\/80*(-178)\/1335).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160179 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let n(i) = i + 11*i - 3*i. Calculate a(n(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -3 + (15 + -12 - -10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11456 = -3*z - 768, 0 = 4*b + 5*z - 21378. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 6*g + 8*g)*(0 + 0 - g**3) + (-4*g**4 + 7*g**4 + 7*g**4)*(-2 + 1 + 9).\nAnswer: 71*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -7. Let m be 0\/1 + 2 + -2. Suppose 0 = -m*g + g. What is the second smallest value in 5, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5, 1, 0 in descending order.\nAnswer: 18, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/(-636))\/(15\/(-200)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 138 = 3*j. Let w = 24 - j. Let h = w - -75. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 1\/6*p**3 + 3\/2*p**2 + 0 - 10*p. Let h(v) = -2*v**2 - 9*v - 12. Let r be h(-3). What is o(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4, 145 = 3*p - 2*w + 18. Let a = p - 17. Let x be -4*(1 - 2) - -1. Solve 2*i = i + x*g - a, 0 = 2*i - g + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1\/4 (c) 0.19 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2908161*h**2 - 1696876*h - 1.\nAnswer: 5816322","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 139.3 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10729, 10579, 10443, 10327, 10237, 10179, 10159?\n\"Answer: i**3 + i**2 - 160*i + 10887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 27, 2\/17, 5, 1\/5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6667?\nAnswer: 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 2 + -16*1\/9 + (-6582)\/(-27).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10750 or -10746?\nAnswer: -10746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2240.421m to kilometers.\nAnswer: 2.240421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**6\/720 + 17*l**5\/120 - 17*l**4\/12 + 6*l + 2. Let h(n) be the third derivative of a(n). What is h(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10*m - 60. Let n be i(6). Let k(y) be the second derivative of -1\/6*y**3 - 1\/6*y**4 + 4*y + 0 + n*y**2. Find the second derivative of k(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t + l, 5*l + 14 = -11*t + 13*t. Solve 4*s - 15 - 17 = 4*h, t*h + 4 = -2*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -5*o. Let b(d) = -3 + o + 1 - d. Let m(g) = g - 1. Suppose 0 = 4*h + 4*s + 12 - 0, 5 = -5*h - 3*s. Calculate h*b(z) + 3*m(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3287576, 6575181, 9862786?\n\"Answer: 3287605*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 409bb (base 14) in base 6?\nAnswer: 3200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2695423 or -2695421?\nAnswer: -2695423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/15 and 113\/13470?\nAnswer: 13470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c0 + 9?\nAnswer: -5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 5. Let p be q(-7). Solve g = -p*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192294 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3) - (-6 + 57\/9)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5\/9 + 116*n**4\/9 + 32*n**3\/9 - 1484*n**2\/3 + 1390*n - 912 = 0?\nAnswer: -57, -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6 + 2. List the prime factors of 2\/i*(-22)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-13)))\/(x*x**(-4\/11))*(x**(-2\/9))**(1\/23) assuming x is positive.\nAnswer: x**(28130\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3652*k**2 - 35*k + 36. What is the tens digit of g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13798 - -13818. Calculate the remainder when 6359 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-143)\/165)\/(4\/6). Let b = 7\/10 + q. What is the common denominator of 65\/9 and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 1 - 4. Let p = 4.67 + 0.03. Let k = p + -5. Which is the third biggest value? (a) k (b) -2\/11 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + h**2 + h + 4. Let j be r(0). Suppose -10*m = -8*m - j. Let y = -1 + m. Solve 4*f - 15 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5\/7 - 304*a**4\/7 + 5792*a**3\/7 - 8936*a**2\/7 - 27876*a\/7 + 31320\/7 = 0.\nAnswer: -2, 1, 3, 29, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - d**4 - 13*d**2 - d**3 - 7 + 4 to the form j*d + m*d**2 + g + u*d**3 + c*d**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 406042, 1624078, 3654144, 6496246, 10150390?\nAnswer: 14616582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/175 and 103\/827400.\nAnswer: 827400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b161 + -49?\nAnswer: 1b117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 42*l + 106. What is q(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627*a = 612*a + 87210. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020000 - -1001121?\nAnswer: 11021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3733068 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppxxpxp. What is prob of sequence pxx?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6.84, -1\/3, 15.942, 1\/4?\nAnswer: -6.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.77 - 3.23. Put 1\/3, -2\/9, q in descending order.\nAnswer: 1\/3, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1*-1 + -4*-4*sqrt(170))\/(3*(sqrt(810) + (sqrt(810) - ((-3*sqrt(810) - sqrt(810))*-6 - sqrt(810))) - sqrt(810))))**2.\nAnswer: 4913\/352836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 895259630 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {a: 12, m: 6, i: 1}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = -5, -4*t - 3 = -3*f. Suppose t*r = 3 + 6. Let w = -2 - r. Which is the third biggest value? (a) w (b) 4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 108*n + 10. Let l be x(-3). Is 3\/18*-3*l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1202 (base 3) to base 6\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16 + 399\/4 + -46\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 12:39 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 2*y - 5*g, -y - g + 6*g - 55 = 0. Which is smaller: y or 7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.215 times 0.8?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*x**5 + 3*x**4 + 815858*x**3 + 32472938*x.\nAnswer: 100*x**3 + 36*x**2 + 4895148*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsfisflffilflii. Give prob of picking 1 s and 1 l.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l + 59*l = 4, 0 = 2*v - 4*l - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 14. What is the closest to 1.7 in k, -0.4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17098745 less than or equal to -17098747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**5\/15 - 4*h**3\/3 + 32*h**2. Find the first derivative of d(p) wrt p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 9*w**2 - 13*w + 42. Let t be l(10). Let i = 236 + t. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 726*v - 15. Let z(m) = 327*m + 3. Determine g(z(c)).\nAnswer: 237402*c + 2163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/65774852 and 41\/16.\nAnswer: 263099408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/16 + (42840\/64)\/15. Which is greater: 41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 3003012032?\nAnswer: -3003012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 n when four letters picked without replacement from iinin.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2691.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.19 + 3.19. Which is bigger: x or 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246064*x**3 + 81*x + 1027924462?\nAnswer: -738192*x**2 + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*f + 1 = -5*b, 2*b + 12 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(q + 3*q - 3*q)*(2 - 7 - 6).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 16, v: 4}. Give prob of picking 1 v and 1 z.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23333 + 5215. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*f**3 + 209 - 124 - 19*f**2 - 42 - 62*f**3 - 43.\nAnswer: -3*f**3 - 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3720104 micrometers to nanometers.\nAnswer: 372.0104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40*(104\/(-112))\/(-13)*2\/(-8)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0*g**3 + 1\/6*g**4 + 0 + 26*g + 0*g**2. Let q(r) = -11*r. Give t(q(v)).\nAnswer: 242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-19 - (-12 + -15)) - (16 + -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(95) - (sqrt(95) + 1*sqrt(95)*-1 + sqrt(95))) + 5*sqrt(95)*1)\/(-2*(sqrt(5) - sqrt(405)*-1)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 10*y + 2*y - 3*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1827 is divided by 138?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*o + 106 = 0, -231*n = -226*n - o - 155. Factor -10*i**2 + 128\/3 + 2\/3*i**3 + n*i.\nAnswer: 2*(i - 8)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*x + 10 + 6, 2*b = -x + 12. What is the derivative of -4 + 3*n**4 + 4*n**x - 4*n**2 - 2*n**4 wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -812 (b) -2\/7 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 437377? (a) -1\/2 (b) 2\/15 (c) 2 (d) 1\/12 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2471 - 2466. Solve -3*w - 2*u + 13 = 0, 0 = -4*w - l*u + 17 + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*n + 32*n - 4. Let m(z) = -z**2 + 4*z + 3. Let u be m(n). What is the highest common factor of 24 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 3. Let d(z) = -2*z**2 - 23*z + 4. Let x be d(-11). Suppose j = -x*j + 16. Let q(b) = -1. Give j*r(a) - 4*q(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from aaaallaalalal?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11832 by 36.\nAnswer: -986\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18036, -72151, -162350, -288639, -451024, -649511, -884106?\nAnswer: -1154815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -35.91. Let v = p + 0.11. Let q = -0.2000062 + v. What is q rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 5, m: 2}. What is prob of sequence rr?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/50*(-80)\/24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.587 + 9.5895876. Round b to 5 dps.\nAnswer: 0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -131\/13 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -5. Suppose -o*b + 2*b + 393 = v, -b = 4*v - 87. Let h be b\/5 + (-2)\/(-10). Solve 5*m = -h, -4*t + 4*m + 3 = -1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 9*f - 10. Let b be z(7). Suppose b*k - u = 21 + 38, 2*k - 3*u - 27 = 0. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1352)\/52*((-8)\/(-32))\/(3\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -6 - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20045)\/6650 + (-98)\/(-35).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 9*s**2 + 3045*s + 12413. Determine f(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1370256414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.14 and 531.73.\nAnswer: 531.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2265, 2166, 1991, 1734, 1389, 950, 411, -234?\n\"Answer: -w**3 - 32*w**2 + 4*w + 2294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 281*p**3\/6 + 38*p**2 - 151*p. What is the derivative of m(j) wrt j?\nAnswer: 281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 3, -10, -37, -84, -157, -262, -405?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317 is divided by 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -357742 times 4\nAnswer: -1430968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*z + 25*z + 11*z + 72 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 4 - 3\/((-12)\/(-476)). Is y > -241\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -21, 3, 7, -4, 2.\nAnswer: -21, -4, 2, 3, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12578822695 - 1308171180757\/104. Let h = -253652 + m. Let p = h - -8\/13. Find the common denominator of -21\/10 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4521 - -a80?\nAnswer: 50a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6612104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*x + 69 = 272*x - 44*w, x + 30 = -3*w for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 16*f - 27. Let u be n(19). Suppose -u*p + 278*p = 673. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 13. Let p be (16\/24)\/(10\/(-3114)). Let g = -207 - p. What is the nearest to m in 4, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 15, 50, 121, 240, 419, 670, 1005?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.01 - 0.01. Let l = 0.06 + -0.06. Which is the nearest to l? (a) z (b) 1 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1498\/10 + (-8)\/(-40). Let j = 159 - k. What is the smallest common multiple of (6\/4)\/(2\/44) and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 10*o - 10. Let z be k(-9). Let f = 19 + z. Let t be 6\/f*(-6)\/(-14). Which is the third smallest value? (a) 5 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaao when four letters picked without replacement from {o: 5, a: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5997538173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(25\/(-5) - (-22)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5344154984 to the power of 1\/3, to the nearest integer?\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5937 + 2314. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*s + 18 = -16, 2*k = -3*s + 39. Suppose h - k*h = -10428. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 22*u - 8. Is 14 a factor of a(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 5, -10, 2\/11 in increasing order.\nAnswer: -64, -10, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3616*t - 2112*t - 1505*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -65. Differentiate 50 + 9*r**3 + f*r**3 + 8*r**3 - 6*r**3 wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + -0.02. Let q = 141.3 + -141. Which is the nearest to 0.1? (a) 2\/7 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -3)**2 - (-5 + sqrt(3) + -2).\nAnswer: -13*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6151\/5 + -1222. What is the common denominator of s and 67\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 6*f**2 + 324*f + 2460. Calculate l(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 11:37 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**4\/4 - 4*x**3\/3 - x**2\/2 + 5*x + 102. Give f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 585?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 284?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -4, -0.5, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + -86 + 2 + -3 + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 + -100. Suppose -6276 = -z*o + 2*o. Suppose -4*r + o - 39 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w**2 + 4 - 3 + 1 to the form t + q*w**2 + j*w and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (18 - (21 - 7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-1 + 17\/19) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130.2 + 128. Let p = x - -2.200001032. Round p to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 5*b**2 - 4*b - 8. Let l be j(6). Let v be 0\/(-3 + 2 + -1). Solve -l*o = 3*g + 20, 2*o + v*g = -4*g - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*w + 152765, 454*x + 2*w + 30560 = 455*x. Is x a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2400\/204 - 276\/(-1173)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23\/161 + (87\/(-21) - 3). Suppose 5*r + 0*p + 3*p - 31 = 0, p = 2*r - 8. Sort r, 1, k, -2 in decreasing order.\nAnswer: r, 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(2\/7))*i*i)\/i**(-3)*i**3*i\/(i*i\/(i\/i**(-7)))*i**(4\/7)\/i**(-1)*(i\/((i**(-1)\/i*i*i)\/i))**(-35) assuming i is positive.\nAnswer: i**(-372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -891, -895, -899?\n\"Answer: -4*w - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 5*h**4\/2 + 96. Let j(z) = -z**3. Determine 45*j(g) + 4*s(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 6*a**2 + 7*a. Let k be i(-7). Suppose k*j - 5*j - 65 = 0. Let b = 18 + j. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/6 - 137*i**4\/6 - 4777*i**3\/6 - 55207*i**2\/6 - 62083*i\/3 + 254800\/3 = 0.\nAnswer: -91, -25, -16, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from xldxk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 76*z**2. Let c(i) be the first derivative of -19*i**3\/3 - 7082. What is 22*c(h) + 6*t(h)?\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 14. Let v = -329 + 325.9. Let y = n + v. Which is the closest to y? (a) 2\/9 (b) 5\/2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2*c + 2)*(-5 + 0 + 3) + 5*c - 5*c + 2*c)*(-4 + 4 + c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54\/5? (a) -2\/19 (b) -1 (c) -2\/11 (d) 27\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -32*z - 4. Let l(x) = 99*x. Determine r(l(k)).\nAnswer: -3168*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*a = -0*a - 40, r + 3*a = 20. Calculate the remainder when 54 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*r - 523, -5*i + 4*i = 2*r - 171. Suppose a + o - 47 = 0, -4*a + 2*o = 3*o - i. What is the greatest common divisor of 35 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 8)*(-1 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s\/s**(-33))))\/(s**(-16)\/s))\/((s**(1\/19)*s)\/s)**(-20) assuming s is positive.\nAnswer: s**(1008\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*96\/(-792) - 28\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txmmfx. What is prob of sequence tmx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 28 = 2*o, -2*u - 94*o + 30 = -96*o. Factor 1\/4*l**u + 16 - 4*l.\nAnswer: (l - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*d + 279 = 67, -4*d - 40 = p. Suppose 4*n = 6 + 14. Let z be 0\/(n - 4) + -57. Which is bigger: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d977 - -6?\nAnswer: -d971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2 + p - p - 2*p + p. Let k(l) = l - 1. Let y be k(-1). Determine c(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144245334 + -253?\nAnswer: -144250031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -56 + 48 + -4 + (1 - (0 + 2))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 252 = 2*m + 4*h, 2*h = 5*m - 350. Let p = m - 94. Let y(i) = -2*i + 16. Is 5 a factor of y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.118 (b) -3 (c) 1.6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57.3 in -0.3, 1, -2\/879, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24014 is divided by 632.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 17?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17201 + 412847\/24. Find the common denominator of v and 173\/11802.\nAnswer: 47208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, i: 4, c: 1, s: 2}. What is prob of picking 3 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 667979 - a**4 - 667976 + 2*a**2 + 2*a**3 + 3*a**4 + 55*a as y*a + u*a**2 + z + o*a**3 + h*a**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/240 + (-8)\/(-60). What is the closest to 2\/3 in -2\/9, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 5.1\nAnswer: -45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 290*z - 835. What is the remainder when 5634 is divided by n(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 27. Sort n, -4, 1.\nAnswer: -4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/667450 and -9\/4.\nAnswer: 1334900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32263 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.83 + 0.83. Let c = -51 + 147. Let p be (-40)\/c + (-2)\/(-3). What is the nearest to m in -4, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 10*q + 3. Let s be l(10). Solve s*f - 1 - 5 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c + 6*c - 2*c + 0*c + 39*c**2 + 3*c - 1695 wrt c?\nAnswer: 78*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148*k + 419 with respect to k.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*z = 86*z + 18321 + 14859. Calculate the remainder when z is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 110811878, 110811876, 110811874?\n\"Answer: -2*k + 110811880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/253677 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 633204 to the power of 1\/2, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, -99, 53 in descending order.\nAnswer: 53, -2, -21, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2964 (base 11) to base 8\nAnswer: 7355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100000111011000001011 (base 2) to base 7\nAnswer: 12112114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000522898677 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 291 - 286. Suppose 577 = -t*v - 688. Are -254 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**2 - 39*i + 7. Let t(z) = 4*z**2 + 26*z - 4. Let a(n) = 7*t(n) + 5*y(n). Determine h, given that a(h) = 0.\nAnswer: -7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 208.3365?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2101634399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*p - 390*p = -82*p + 2200 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 538*d**2 - 79 + 8 - 526*d**2 to the form u + l*d**2 + n*d and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3433582.\nAnswer: 2, 1716791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (-1*(sqrt(1377) - 3*2*sqrt(1377)) + sqrt(1377)*1 + 1 + 3)**2.\nAnswer: 432*sqrt(17) + 49597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26783, 26845, 26907, 26969, 27031, 27093?\n\"Answer: 62*v + 26721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5, 2*m = -4*l + 18 + 56. Suppose -6*u - x - l = -9*u, -x + 30 = 4*u. Let h(b) = -b**3 + 6*b**2 + 11*b - 7. Determine h(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 62, -5, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/112 and (436\/(-42))\/((-1152)\/216)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3096000 = 29*h - 98*h - 60*h. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 - -1014?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41494, -40280, -38256, -35422, -31778, -27324, -22060?\n\"Answer: 405*h**2 - h - 41898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**4 - 2895*h**3 + 711450*h**2 + 3629000*h = 0.\nAnswer: -764, -5, 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ccyccvvaycyc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 335019689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3528 divide 418152672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*x + 67. Suppose -x = k - 7. Let m = -16.8 - -17. Sort 4\/9, k, m.\nAnswer: k, m, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*i - 185*i + 191*i**2 - 190*i.\nAnswer: 191*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 7, d: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*17243.\nAnswer: 34486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-21))\/((-4)\/28). Suppose -13 - 47 = -u*t. Calculate the greatest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 101*h = -100*h - 10, -2*n = -5*h - 42 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -63, -89, -101, -93, -59, 7, 111?\n\"Answer: f**3 + f**2 - 36*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5, 3\/4, 2\/11, 1\/7, -6\/19 in increasing order.\nAnswer: -6\/19, 1\/7, 2\/11, 2\/9, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-three fifths of a minute?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - (-17 - 10)) + -52.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.177167*2.468.\nAnswer: -0.437248156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b = -121*b - 1152 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -x + 2, 0 = -5*z + 3*x + 40. Suppose 2*o - z = 2*m, -m - 1 = 1. Suppose 44 = 4*s - o*s. What is the highest common divisor of s and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235304 divided by -3512.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 682227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - q - 16 = 0, -3*t + 0 = 3*q + 6. Let m be (-2 + 1)\/7 + 2\/t. What is the second smallest value in m, -36, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -9*k + 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m + 82. Let x be k(8). Let r = x + 35. Calculate the highest common factor of r and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -60\/11*z - 2\/11*z**3 + 26\/11*z**2 + 0 = 0. Calculate z.\nAnswer: 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 948, 962, 1002, 1080, 1208, 1398, 1662, 2012?\n\"Answer: 2*p**3 + p**2 - 3*p + 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4308911395.62 and -421.\nAnswer: 4308910974.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -39*i - 560. Let t be c(-15). Solve 16*z + t*z = -164 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4056 by -312.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6559 divided by 2.\nAnswer: -6559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3721825 is divided by 476?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15305 + -15336. Sort -2\/5, -1\/7, 1, n.\nAnswer: n, -2\/5, -1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 251, 510, 769, 1028, 1287?\n\"Answer: 259*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442\/10 - (-5)\/(-25) is divided by ((-46)\/(-6))\/(1\/3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuq when three letters picked without replacement from uvpupq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 - 2 = 0. Find the second derivative of -4*h**5 + 3*h**5 - u*h**5 - 2*h + 0*h wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*y - 1272, 199 + 120 = f + 2*y. What are the prime factors of f?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(693)\/(sqrt(11) + (sqrt(176)*1 - sqrt(11))) - ((-3*sqrt(49))\/sqrt(7) - sqrt(343)*2).\nAnswer: 71*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5987297813.\nAnswer: 7, 17, 50313427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22411397 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1, 1, 296, -16, 9 in decreasing order.\nAnswer: 296, 9, 4, 1, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82964, -331894, -746778, -1327616, -2074408?\nAnswer: -2987154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*3*1)**2 + 4)*4 + 5.\nAnswer: 30513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvhhhjhv. Give prob of picking 2 j, 1 v, and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 122?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15607168*s**3 - 27290399 with respect to s.\nAnswer: 46821504*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 105*z**2 + 3. Let f(l) be the first derivative of 0*l - 1 + 1\/2*l**2. What is f(t(p))?\nAnswer: 105*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340302133 (base 5) to base 7.\nAnswer: 15461545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/13? (a) 0.6 (b) 0.3 (c) 61 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 353 (b) 0.04 (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 167? (a) 2\/29 (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -34. Solve -s + 4 = -q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1374224 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1383 and 68\/21?\nAnswer: 9681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 961 + 6*g + 0*g + 0*g.\nAnswer: g - 961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18966)\/(-15))\/(16\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -41 (b) 3.2 (c) -2 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*v*w**2 - 6*v*w + 11*v + w**2 - 91 wrt w?\nAnswer: 20*v*w - 6*v + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + -2.032. Let f = w - 0.06. Round f to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/13 - (-259)\/(-91). Put -5, 20, -1, v in decreasing order.\nAnswer: 20, -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 - 2*f - 2. Let u be x(2). Suppose -5*z + 27 = -u. Suppose z = d - 4. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*g = -6, 5*g - 6*g = -2*u + 32. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - t**2 + t + 1. Let r(h) = 3*h**3 - h**2 + h - 5. Let f(d) = r(d) + 2*z(d). What is f(2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*r**2 + 0 + 21*r**2 - 2)*(-27*r**2 - 48*r**2 - 9*r**2).\nAnswer: 1764*r**4 + 168*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 15 = -9. Let a = i - -9. What is the second derivative of -7*o**4 - 5*o + 0*o**4 + a*o**4 + 3*o wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.6666 rounded to one decimal place?\nAnswer: 16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -71.\nAnswer: 2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16070, -16057, -16044, -16031, -16018?\n\"Answer: 13*f - 16083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1408.1 + -1408. Which is the nearest to -3? (a) 0.8 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2da7d (base 15) in base 7?\nAnswer: -1153003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03+0.00253023\nAnswer: -0.02746977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.143 - -2.502?\nAnswer: -123.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20490474 divided by 2?\nAnswer: 10245237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3084840, -12339287, -27763340, -49356999, -77120264, -111053135?\nAnswer: -151155612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**3 - 7*b**2 + 7*b**2 + (7*b + 28*b - 5*b)*(-3*b**2 - b**2 + 2*b**2) - 2*b**3 + b**3 + 0*b**3)*(1 + 2 + 5).\nAnswer: -416*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 7 - -2 - (1 + -18 - -4)) + -16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/5 + 912*c**4\/5 + 74031*c**3\/5 + 1993614*c**2\/5 + 10060128*c\/5 + 14163552\/5 = 0. Calculate c.\nAnswer: -194, -52, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/9 and -52\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**5*h)\/h*h**(-25) assuming h is positive.\nAnswer: h**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139788.\nAnswer: 2, 3, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -1. Let r be (5 + v)*(2 - 1). Let z be r\/(6\/(-940004)) - -2. What is z rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 3*l + 5. Let i be g(-4). What is the second derivative of -7*q + 6*q + 4*q**4 - 1 + i wrt q?\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73880643511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80061970 greater than 80061986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*(i**2*i*i*i)\/i)\/i)\/i**(2\/3))**(-2\/89))**(-1\/18) assuming i is positive.\nAnswer: i**(13\/2403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(-4*3\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.8 + 38.2. Let x = 62.50365616 - 16.50365699. Let q = x - i. Round q to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -261 and -0.3.\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1607 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 147042.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*n**4 - n**2 - 1517*n + 1 wrt n.\nAnswer: -996*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2747 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -250 + 215. Let u = 469 + r. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 + 69*y\/2 + 999\/4.\nAnswer: 3*(y + 9)*(y + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -45*p**8\/224 + 3*p**7\/14 - p**6\/10 + 2*p**5\/75 + p**4\/4 - 5*p. Let u(t) be the third derivative of v(t). Factor u(z).\nAnswer: -2*(15*z - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18b + -59653?\nAnswer: -59495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12) + (-34)\/8. Let v = u + 11. Suppose i - v - 1 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1456760 divided by 5.\nAnswer: 291352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59927670 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (9 - 11 - (-1 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-3))\/((-2)\/3). Suppose 7 = 3*k - j, -12 = w*k + 5*j - j. Suppose 37*d = 23*d - 56. What is the nearest to -1 in k, d, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s**3 - 2*s**2 + 2*s - 1. Let y be l(1). Let m(p) = 0*p + 2 - y + p. What is m(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20342957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310673510 by -62134702.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*-2*(1 + sqrt(448) + -1 + (sqrt(448) - 3*sqrt(448)) + -4)**2.\nAnswer: 256*sqrt(7) + 1851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002022001220 - 1002?\nAnswer: -1002022002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1083213155 + 688.\nAnswer: -1083212467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13830486 and 1898302?\nAnswer: 96813402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is eee6 + -82?\nAnswer: ee64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.202, -247, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - -7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5742 - 2393. What are the prime factors of h?\nAnswer: 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 7*b**2 + 7*b + 4. Let g be n(-6). Let o = -2 - g. Let p = -18 - -30. Solve -w - 2*w + p = o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/93276 and 101\/62316?\nAnswer: 161460756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419844 is divided by 209863.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 4*s - 149. Let q = s - 43. What is the remainder when q is divided by 4\/(24\/21)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1749*s**3 + 62*s + 1758*s**3 - 121*s + 63*s.\nAnswer: 9*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1 + (-2 + 1 + 8)*(3 - 2 - 2))*(-7*y - 7 + 7)*(-11*y**3 + 11*y**3 + 3*y**4).\nAnswer: 189*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96690, 102726, 108752, 114762, 120750, 126710, 132636?\n\"Answer: -l**3 + l**2 + 6040*l + 90650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1433 - 1428. Solve -5*q - 7 = 6*j - 8*j, 10 = b*j - 5*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 1. Let g be z(1). Let s be ((-9)\/12)\/(7\/g). Let k = 1.2 - 1. Which is the smallest value? (a) 0 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005258878 rounded to 4 decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1321 - 1286.86. Round p to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117177 and 3861003.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 155.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -9229048 < -9229046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -5. Solve 0 = o*x - x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = s + 119, -458 = 4*s - 3*y. Sort 0, s, -5, -8, 4 in descending order.\nAnswer: 4, 0, -5, -8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4887.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 2422826124?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 19 - 11. Let j be 4\/(-10) - (-34)\/f. Find the third derivative of -b**2 + 3*b**3 + 2*b**4 - j*b**3 wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9929 = 5*m, -18216 + 3285 = -3*v - 5*m. List the prime factors of v.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 216 = w. Let k = w - 37. What are the prime factors of k + 3\/6*-6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, t: 1, x: 3, j: 4}. Give prob of sequence jtxx.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 0*n + 6*n - 4*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22694347367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u**2 - 11*u**2 - 13*u**2)*(-u - 1 + 0 - 1) as l + y*u + n*u**2 + d*u**3 and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 257548 and 266414?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, -68, -3.\nAnswer: -199, -68, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -187990584?\nAnswer: -56397175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -764? (a) 151 (b) -5 (c) 3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 + 9\/2. Suppose d*z - 1 = -5. Let s(w) = 4*w - 1. Calculate s(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*g = -10205, 2*k - 8190 + 1400 = -4*g. What is the highest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:45 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 1)*(-1545)\/927*4\/(-10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - (52 + -41 - (1 + 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142\/(-288) + 375\/675.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(297)\/sqrt(3) - ((sqrt(1584) - (sqrt(1584) + sqrt(1584)*-2)) + sqrt(1584) - (sqrt(1100) + sqrt(1100) + 1 + sqrt(1100))))**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 32*j**2 - 33*j + 8. Suppose -8*l + 4*l + 96 = 0. Let k be p(l). What is k rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d - 12. Let h be i(-7). What is the second derivative of -16*w + 10*w**2 + 16*w**2 + h*w**2 - 7*w**2 wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 15*f + 52. Let i be n(-6). What is the greatest common divisor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - 4 - 1072\/28. Let d = l - 3\/14. Calculate the common denominator of d and -22\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 4. Suppose 0 = -f*o + 56 + 38. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304\/9*f + 110\/9*f**2 - 2\/9*f**3 - 416\/9 = 0 for f.\nAnswer: -1, 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*l + 353*l - 3021 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20472\/(-72505))\/((-12)\/10)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 5*g, 474 = 5*v + 2*g. Let o = v - 92. Suppose -2*q = -2*x, x + 4 = 3*q + o*x. Are q and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3\/((g*g**(2\/3))\/g*g))\/((g*g**(3\/7)\/g)\/g**(4\/3)))\/(g**(-3\/5)\/(g\/(g**(-2\/5)*g)))**41 assuming g is positive.\nAnswer: g**(908\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14623015 (base 8) to base 7.\nAnswer: 40330551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 203. Suppose z = -3*p + 646. What is the remainder when p is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n + 2*n - 4*n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114651949 is divided by 33642.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-42)\/(-63))\/(48\/180))\/((-10)\/(-48))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 - -9.6. Let d = 70.74 - -1.26. Let k = d + -69. What is the smallest value in -0.5, m, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (771\/9 - 5)\/((-1484)\/(-492) + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - -3. What is the remainder when r is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*n + 4*k, -n - 3 = -3*k - 2. Let q = 21 - n. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Is 4\/d + (-2)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.5 - 11. Let t be 1 + (-6)\/(-4)*16\/(-27). What is the biggest value in t, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 7*o - 6. Suppose -r = -15 - 3. Let s(g) = 1. Let d(k) = r*s(k) + 2*u(k). Factor d(h).\nAnswer: 2*(h + 3)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + (-9 - -4) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*o + 6. Suppose -o*x = -6*x + 40. Solve -5*h + 25 = z, -5*z - x = -5*h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - ((-7365)\/135 + 3). Which is greater: k or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0 - 3*o - 1\/12*o**3 + 1\/2*o**2 - 1\/24*o**4. Solve s(z) = 0 for z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) - 16\/(-10). Let b be (-4 - 20\/(-4))*q. Factor 2\/9*p**b - 2\/3*p**5 + 0 + 0*p - 10\/9*p**3 + 14\/9*p**4.\nAnswer: -2*p**2*(p - 1)**2*(3*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-36))\/((-13)\/((-117)\/(-6))). What is the nearest to r in 0.4, 1, 0.04, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(24)\/(-3*sqrt(648) - sqrt(648) - sqrt(8)).\nAnswer: -3*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2 = 0, -2*v = 2*o - o - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Suppose 1076 - 642 = 9*t - 1186. Calculate the remainder when 104 is divided by t\/9 + (0 - p).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -62*l**2 + 14*l + 30. Let f(s) = -63*s**2 + 11*s + 25. What is -4*d(x) + 5*f(x)?\nAnswer: -67*x**2 - x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 + 3 - 12*u**2 + 3*u**2 to g*u**2 + j + c*u and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*a + 6*m = 202*a - 26, -2*m - 15 = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 128. Factor -215*q**n + 4 + 4*q + 106*q**2 + 110*q**2.\nAnswer: (q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -627274 (base 9) to base 3.\nAnswer: -200221022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 456943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4\/5 + 72*q**3\/5 + 69*q**2\/5 - 142*q\/5 = 0.\nAnswer: -71, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-26)*m)\/m)\/(m*m**(2\/19))*m**(-6)\/(m*m*m**28\/m*m) assuming m is positive.\nAnswer: m**(-1199\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3 + (-3 + 3 - 2)*(-3 + 3 + 1))*(3*g + 88*g + 17*g) + (5*g - 5*g + 3*g)*(-6 + 1 + 3).\nAnswer: -330*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -758 + 795. Calculate the remainder when 138 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/7567 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*g**2 - 8*g**3 - 56*g**2)*(-3*g + 5*g + 5*g).\nAnswer: -56*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 354.9959 millimeters?\nAnswer: 0.0003549959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 26*q**2 - 9*q - 20. Does 40 divide l(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -488 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 11. Suppose 15*g - 27 - x = 0. Solve 4*d = -g*h + 23, 2*d - 2 - 4 = 4*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*b - 400*b + 1233*b + 626*b.\nAnswer: 1802*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 17*g - 14. Is 8 a factor of m(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**3\/h)\/h**2)\/(h**(-1)*h**(2\/7)*h))**(-11\/2) assuming h is positive.\nAnswer: h**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + 2*x**3 - 6*x**3)*(5*x - 4*x - 3*x) + 9*x + 2*x**4 - 9*x - 3*x**4 + x**4 + x**4.\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107.8 - -210. Let k = 90 - w. Round k to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 21 - (-2 + 1) - 3 - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Suppose -3*n - 9 = -3*v + 15, -4*n = -3*v + 28. Let h(b) = b + b - 3*b + v*b. Let w(i) = h(i) - 2*p(i). Let s(z) = z**2. What is s(w(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39508142*t**3 - 10*t**2 - 127382.\nAnswer: 237048852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10299 + 17536. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -40) + -24 + 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 47 = -95. Suppose 0 = -x*p + 27*p - 1023. What is the greatest common factor of 31 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/6 and -75\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.03336 to zero decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, 24, 73, 160, 297, 496, 769?\n\"Answer: 2*z**3 + z**2 + 6*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, 2463, 1, -0.1, -3, 2, -2\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-10) + 238\/(-35). Let z(n) = -n**3 - 6*n**2 + 3*n - 5. Let j be z(u). Let c = j + 82. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 9\/10*q**5 + 22 + 0*q**3 + 2*q - 21\/2*q**2 + 0*q**4. Let j(u) be the first derivative of z(u). Differentiate j(g) wrt g.\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*x**3 + 1154*x**2 + 3928*x - 832 = 0. Calculate x.\nAnswer: -104\/3, -4, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, m: 3, x: 2}. Give prob of sequence jj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h + 3. Let j be 26\/8 + h + -2. Let d = -0.85 - -0.45. Which is the closest to j? (a) -1\/2 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13570 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2837, 1916, 391, -1738, -4471, -7808, -11749?\n\"Answer: -302*p**2 - 15*p + 3154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 + 11567*w\/3 + 100360.\nAnswer: -(w - 23160)*(w + 26)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b + 1. Let n = 400 - 409. Let a(t) = 50*t + 4. Let o(p) = n*y(p) + 2*a(p). Let s(f) = 8. What is -2*o(x) - s(x)?\nAnswer: -2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*p + 28746 = 348*p + 1820 + 4712 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + v + 0)*(4*v - 4*v - 5*v**2)*(2*v**2 - 5*v**2 + 4*v**2) + (-6*v + v + 3*v)*(2*v**4 - 6*v**4 + 5*v**4).\nAnswer: -7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*o**2 + 96*o**2 + 7 - 7 to the form w*o + s*o**2 + i and give s.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8*o\/(o\/(o**(5\/6)\/o)) assuming o is positive.\nAnswer: o**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 93*k. Let c be u(1). Suppose -x - 3*x - 3*b = -c, 4 = -4*b. Suppose 0 = -4*n - 4*y + x, n + 4*y = -n + 16. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from slfclllcwlc.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -5 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000131361 rounded to seven decimal places?\nAnswer: 0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = -l - 163, 2*u = 3*l + 73. Solve -5*n - u + 7 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*t**4 - 13*t**3 - 6*t - 906 with respect to t.\nAnswer: 44*t**3 - 39*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2003 (base 4) to base 14.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69b + 4?\nAnswer: 6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -107*d + 33*d + 7 + 0 + 1. What is the hundreds digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = l + 3*l + 140, -5*l + 4*p - 169 = 0. Let s be (-3)\/42 - 3\/(-42) - 39. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7636, -15275, -22914, -30553, -38192?\nAnswer: -45831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y - 3*p, 0 = -y + 4*p + 19. Find the first derivative of -6*f**3 + 64*f**3 + 61*f**y - 5*f**3 - 147 + 5*f**3 wrt f.\nAnswer: 357*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41355 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 632979169 to the power of 1\/3, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 364 = -13*f. Let z be ((-8)\/20)\/(f\/195). Let j = 0 + 0. Solve -s + j*s = 2*i - 6, -2*i + 6 = -z*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from qaqaadaqdaaqffdaada.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 - ((2 - -2) + -8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5752365 times 17?\nAnswer: -97790205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -24*q - 5. Let x(s) = 23*s + 4. Let p(z) = 3*l(z) + 4*x(z). What is the smallest common multiple of 6 and p(2)?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ddgxgggmkg.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2124)\/(3 + -9) + 3 + (-7 - -10) is divided by 221?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + y)*((0 + 4 - 6 + (0 + 2 - 3)*(-1 + 1 + 2) + 0 + 1 + 0)*(-4*y + 2*y + 7*y) + (3 - 2 + 1)*(32*y + 9*y + y)).\nAnswer: 69*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/120 - 31*r**4\/6 - 2033*r**3\/6 + 842*r**2. Differentiate g(l) wrt l.\nAnswer: 3*l**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/151 + 3011\/453. Factor 0 + 20\/3*g**2 + 5\/3*g**4 - s*g**3 + 0*g.\nAnswer: 5*g**2*(g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 31*x**2 - 4302*x - 12600.\nAnswer: (x - 84)*(x + 3)*(x + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*1\/((-1)\/1). Suppose 0 = -j + 4, w*j = 5*i - 2*j + 30. Let l(y) = -3*y + 1 - 2 - 7 + 5. Calculate l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1 - 124. Suppose -5*g - 2*m = -3*m - 245, 2*g = -5*m + a. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 3*(-200)\/(-6). Suppose 3*u = -z + 2 + 11, u - 3 = -z. Suppose -3*s + a = u*x, 2*s - 4*s + 4*x + 72 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by (7735\/(-15))\/(-13) + 2\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10349827 and -13745828.\nAnswer: -3396001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 28*v + 4. Let s be d(6). Let t = -73 + s. What is the units digit of 2\/4 + t\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*k + 67*k = -13962 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*o - 6*o = -6, -4*u - 3*o - 3 = 0. What is the units digit of 23\/3 - u\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13674977143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 15 - 9. Suppose -f*y + 456 + 42 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 2*u**2 - 5*u**2. Let d(y) be the first derivative of -y**3\/3 + 4. Determine d(v(t)).\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 884.96 - 901. What is p rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (349\/3141)\/((-301)\/42).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*a**2 + 5466*a + 840.\nAnswer: 3*(a + 140)*(13*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 1. Let j(g) = g + 1. Let s(v) = 5*j(v) - 2*u(v). Let o be s(6). Suppose -o*i = -3*i - 912. What is the greatest common factor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632602 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 968 = 5*z + 5*c, -z + 172 = -5*c. Calculate the greatest common divisor of 80 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2\/7, -1, 2, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169933 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34f7 (base 16) to base 2\nAnswer: -11010011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by (-1)\/(-13)*717 - 36\/234.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38169 is divided by 199?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppfbbfbbbpbbbbbbb. Give prob of picking 2 f and 2 b.\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p + 5*z, -p - 5*z = 6 - 2. Suppose 6*h = 53 + p. Suppose j + 2 = h. Calculate the remainder when 12 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 50613642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 48922370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 2*k - 4*k)*(-100*k - 489*k + 128*k) as y + i*k + a*k**2 and give a.\nAnswer: 1383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i**4)\/(((i*i**(-2\/3)\/i)\/i)\/(i*i*i**(2\/15)*i))*(i*i*i\/(i\/(i\/i**(1\/3)))*i*i\/i**(2\/3)*i)\/(i**(-1\/2)\/i**(1\/4)) assuming i is positive.\nAnswer: i**(271\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 - 12506*y**2 - 936546*y + 949050 = 0. What is y?\nAnswer: -75, 1, 6327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35587 + 93830. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 565 = 1053. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 10*b + 16. Let y(f) = -f**3 - 15*f**2 + 18*f + 26. Let h be y(-16). Calculate the smallest common multiple of j(h) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 + 3.87. Which is the closest to 2? (a) 0.2 (b) t (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, f: 2}. What is prob of sequence yyf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 13. Let n = q - 4. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437 + -308. List the prime factors of w.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5) - 144\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/7 + 108*q**3\/7 + 144*q**2 - 103360*q\/7 + 887808\/7 = 0. Calculate q.\nAnswer: -68, 12, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/10))\/q**(-5)*(q**(1\/15))**(22\/9) assuming q is positive.\nAnswer: q**(1583\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x - 3. Let y(k) = -2*k. Determine 2*b(c) - 4*y(c).\nAnswer: -2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -660512353 + -5?\nAnswer: -660512361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3159*f - 4*z = -3162*f - 75, 3*z - 75 = 3*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30 - 6\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -367.3+-332083519.9\nAnswer: -332083887.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15165 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: Solve 13 = 3*u - b, 24 = 5*u + 2*b - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98296571, 196593145, 294889719, 393186293, 491482867?\n\"Answer: 98296574*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 40. Suppose d*z = 14*z + 60. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310826598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) 0.3 (c) 41 (d) 2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t + 260 = 30*t. What is the remainder when t is divided by 12\/(-15)*(-70)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - f = -13*c - 7, -3*c + 2*f = 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*o = -2091 + 5931. Suppose o*b - 69*b = -15. Let d(a) = -4*a. What is d(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddxddddxdxddddddddd.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4960\/775)\/(4\/(-5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -195823.754 * -3.\nAnswer: 587471.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1\/3. Which is the closest to 2? (a) 5 (b) o (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(4 + 2 + (sqrt(500) + 0)*5) + 5)**2.\nAnswer: 6000*sqrt(5) + 112900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u = -16. Let m = 0 + 2. Suppose 0 = m*x + 4*t - 22, -x + t + 9 + 2 = 0. What is the remainder when x is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -568 by 4.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/15*(1 - -14). Let p = l + 13. Suppose p = -4*t + 6*t. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152327?\nAnswer: 7, 47, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = -13. Suppose h*x = 5*x + 10. Suppose -4*n + 69 = x. What is the remainder when n is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/19)\/p)**(5\/3))**26 assuming p is positive.\nAnswer: p**(-2210\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-1)*h))**(6\/5)\/(h**(-4)\/(h\/h**2))*(((h**(2\/5)*h)\/h)**(-2\/21))**(6\/19) assuming h is positive.\nAnswer: h**(1987\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16881, -32779, -48677?\nAnswer: -64575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 3. Let l be d(3). Calculate the smallest common multiple of (-1)\/(-1) - (-30)\/l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 9. Is 2 a factor of c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*(-6)\/9. Put 0.2, d, 3, -11 in ascending order.\nAnswer: -11, d, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(-5)\/((-60)\/(-8)). Let r(o) = -o**2 - 6*o + 3. Calculate the lowest common multiple of 3 and r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6304 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*b + 4. Suppose -b*i - 108 = -3*j - 12, 3*j + 5*i = 96. Calculate the remainder when (-1122)\/(-9) + (-9)\/(-27) is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1120305*p**4 - 20*p**3 + 343598482 wrt p.\nAnswer: -4481220*p**3 - 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 45. Suppose 3 + 6 = -q*s. Let r be (-1)\/(-3) - (-14)\/(-6). Which is bigger: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rafrrfo. Give prob of picking 1 f and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 9*f**2 + 12*f + 8. Let z be i(10). Find the first derivative of z - 8*u + 8 - 57 wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*j)\/(j\/(j*(j\/(j*j**6\/j)*j)\/j))*j**(-1)*j*j**4*j assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 2172*t - 23650.\nAnswer: -2*(t - 1075)*(t - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h - 2. Let n = -23.5 + 24. Which is the nearest to h? (a) n (b) -5\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 2\/4 - (-68)\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/2 + -3 + 6. Suppose 5*c - 25 = m. Suppose 4*r + 2410 = 2*y, -2*r - 5950 = -5*y - c*r. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/(3\/(-30)). Does -5 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**4\/12 - 4*z**2 + 6. Let n(i) be the first derivative of 0*i**2 + 0*i - 1 + 2\/3*i**3. Give w(n(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4)*r*r**8)\/((r*r*r*r*(r*r**(-8\/9))\/r)\/(r**(2\/21)*r)) assuming r is positive.\nAnswer: r**(1949\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0746737 to three decimal places.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -8, 2*b = -5*x + 3 + 3. Suppose -b*q + 16 = -9*q. Suppose 4*a + q = 20. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4, 8, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -7. Let q(p) = p - 3. Let y be q(5). Suppose -y*x - 224 = -6*x. Calculate the highest common divisor of x and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 342702 = -79012. Let m = v - -128155. Round m to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1080*r - 6444. Let p be h(-6). Suppose -2*l = -3*w - 229, 3*l + 2*w - 307 = 69. Let a = l + 130. What is the greatest common factor of a and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -36*i**3 - 2*i**2 + 71*i + 74. Is 18 a factor of l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = 43*b - 104192. Calculate the remainder when b is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6394246 to the power of 1\/2, to the nearest integer?\nAnswer: 2529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 2\/3, 9.59 in descending order.\nAnswer: 9.59, 2, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, o: 6, s: 2, w: 1, d: 2}. Give prob of sequence ws.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30536845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 437197093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91 in 0.3, 2\/9, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.45 and 0.2.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4044636 and 42.\nAnswer: 28312452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.55 and 61.\nAnswer: -33.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 13623810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2. Let p(f) = -6320*f. What is p(y(q))?\nAnswer: -12640*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*15\/30)\/(45\/(-12)). Let b = 27 - 79\/3. What is the third biggest value in u, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11314 and 4.\nAnswer: 22628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01242 - 0.11242. What is the nearest to f in 30, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106.4 - -106. Let q = -11.5 - 4. Let n = q + 16. What is the biggest value in 4, 1, f, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2. Let x(p) = 317*p + 14. Let l(h) = -9828*h - 432. Let t(c) = -7*l(c) - 216*x(c). Calculate z(t(i)).\nAnswer: -209952*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1216 + 1217.127. What is l rounded to 2 decimal places?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1.7\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-81.973.\nAnswer: -1311.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1719291 and 52542.\nAnswer: 30947238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.26 and 11661.87?\nAnswer: -73003.3062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.08 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, 20, 198, 508, 986?\nAnswer: 1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, -0.2, 4\/7, 3\/95?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29144, -58785, -88434, -118091?\nAnswer: -147756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13415841 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/23)*t*t)\/t*t*t**(2\/3)\/t*t*(t**(1\/3)*t)**8)**(9\/7) assuming t is positive.\nAnswer: t**(2778\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 4:24 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)*b**(-3)*(b**0)**(-3\/11))**(-3\/46) assuming b is positive.\nAnswer: b**(39\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1124 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 6)\/(-9)*0. Suppose 3*c - 12 = -h. What is the remainder when 24\/32 + 73\/c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/2 - 8687748*l**2 - 25158936310599*l\/2 + 75477121691049.\nAnswer: -3*(l - 6)*(l + 2895919)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7224579974 - 10*f**3 - 7224579974.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29647 (base 13) in base 11?\nAnswer: -53640","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -0.1, -0.4, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:34 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2328097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let v(d) = -d**3 + 5*d**2 + 211*d - 6. Let j be v(16). Suppose j = -x*g + 5*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23294686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 1:13 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1524*s**2 - 164*s**2 - 207*s**2 - 1495*s**2.\nAnswer: -3390*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19 - 15 - 2*c**3 + 38*c**5 - c**2 + 34 wrt c?\nAnswer: 2280*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57672323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 491 + -1471\/3. Sort -5, o, 7, 3.\nAnswer: -5, o, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6774871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2465 and 2014505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l + 8 = 0. Let d = l - -4. Let m = d + 9. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:54 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 564030563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 3*n - i, 6*i = -3*n + i + 49. Let h be (1\/(-2))\/((-4)\/(-32)). Let z = 12 + h. What is the remainder when n is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131984687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-2)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 31\/(-62) + (-11)\/(-2). Let b be y\/(-6) + 35\/70. Which is smaller: b or 10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 5*w**2 - 2*w + 1. Suppose 0 = -0*y + y - 2. Let l be v(y). What is the remainder when 20 is divided by (-22)\/(-3) - 3\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -29, 4\/7, 1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**6\/540 - h**5\/135 + h**4\/12 + 2*h**3\/3 - h**2 - 260. Factor u(f).\nAnswer: -2*(f - 3)*(f + 2)*(f + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24540, 24009, 23480, 22953, 22428?\n\"Answer: b**2 - 534*b + 25073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5347 - 1.54. Round h to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 10 - 31*f**3 - 31*f**3.\nAnswer: -58*f**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/63 - (-46)\/(-14). Put 5, 1\/3, g, 0.5 in decreasing order.\nAnswer: 5, 0.5, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p**2 - 11*p**2 - 4*p + 40*p**4 - 2 - 39*p**4 in the form b*p + w*p**4 + n + o*p**2 + x*p**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * -1425\nAnswer: 270.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(405)*1 + 5 + sqrt(405) + -1 + (-2 + sqrt(405))*-4 + 5)*-4)**2.\nAnswer: -29376*sqrt(5) + 237904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {q: 10, u: 2, v: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 3\/5*d**6 + 7\/2*d**2 + 0*d**3 + 10*d + 0*d**4 + 0*d**5 + 0. What is the derivative of v(i) wrt i?\nAnswer: 72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l - 8. Let n(r) = -9*r + 14. Let q(u) = 11*i(u) + 6*n(u). Let x be q(7). Solve 2*h + 1 = z, z + 2*h = -0*h - x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 13*n + 10. Let r be s(-4). Solve -5*f = 4*m + 14, 8*f - 3*f + r = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*o + 10 = 0, -32 = 2*q + 4*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*i - 196*i = -430*i + 154*i + 4720 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38719\/3192 - -2\/399. Let x = 5\/663 - 55069\/5304. Find the common denominator of x and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 15 - 23 = 5*i, 3*l - 37 = 4*i. Calculate the least common multiple of (-2 - i - 4)*11 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0 - 5\/24*c**4 - 4\/3*c**3 + c**2 + 0*c + 19\/120*c**6 + 1\/12*c**5. Let q be l(8). Round q to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let f(s) = s**3 + 3*s**w - s + 0*s**3 - 4*s**2. What is f(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z*z*z**1*z*z))\/z)**8\/(z**(-1)*z)**7)\/((z\/(z*z**(-1\/4)))**(-3\/11)*z*z*z**(-7\/2)*z**7) assuming z is positive.\nAnswer: z**(-1999\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1 + 0 + 3 + 2*a. Let s(d) = 1. Let u(y) = -3*y - 24. Let m(x) = 42*s(x) + 2*u(x). Give -7*g(l) - 2*m(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9933 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(-7*54\/336)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 30. Let n be (w\/(-56))\/(2\/(-16)). Solve -n*x - 3 = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -6*k - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63414 is divided by 412.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26225 is divided by 380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 + (-2)\/(-6). Let c be 0\/(-1) + -2 + p. Calculate the smallest common multiple of 18 and -2*((-6 - c) + 0).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.5209\nAnswer: 3.0418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -120673?\nAnswer: 3\/120673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 + 2 = 0. Suppose i*h - 15 = -0. Solve -c - 2 = c - h*a, -3*a = -3*c + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 718 divide 997302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45552513 (base 7) to base 6.\nAnswer: -221143050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 8033 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202339426 to the power of 1\/3, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21842, 43679, 65516, 87353, 109190?\nAnswer: 131027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + 1224303?\nAnswer: 1224211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 + 17*r - 9. Let j be w(3). Solve -j + 20 = -4*m + 5*d, 3*d - 2 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46*i + 17*i + 3 - 386*i**2 + 384*i**2)*(-27*i + 16*i + 5*i) to the form b + y*i**3 + f*i**2 + n*i and give f.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 - 60. Let p = 337\/2 - z. Is -4 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 20\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 0*l - 4*l)*(48513*l - 48513*l - 655*l**3) in the form f*l**2 + s + u*l**4 + y*l**3 + g*l and give u.\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-56)\/(-35))\/(2\/5). Differentiate -2*q**4 + 7*q**g + 32*q**2 - 2 - 32*q**2 with respect to q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 67 = 3*m, -3*m - 2*m = -3*z + 53. Let k = -21 + z. Solve -9 = k*q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -206*w - 102. What is the remainder when 6758 is divided by n(-1)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhbb when four letters picked without replacement from bhbbbhh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 - -531701?\nAnswer: 531644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -959.13 - -960. What is the nearest to 1\/3 in d, 4, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*3435.\nAnswer: -1717.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 348, 360, 378, 402?\n\"Answer: 3*h**2 + 3*h + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)*p**(-9)*(p**0*p*p)**35 assuming p is positive.\nAnswer: p**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 92. Let v(s) be the first derivative of 3\/2*s**a + 0*s + 3 - 1\/4*s**4 + 0*s**3. Find the second derivative of v(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1508399 - 2*m - 1508399.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 987934604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r*r**1)*r**(2\/23) assuming r is positive.\nAnswer: r**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 - 14*-1. Suppose 0 = -x - 4*w + l, 2*w - 1 - 1 = 4*x. Is 2\/13 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*g - 15*g - 31*g)*((-3 - g**3 + 3)*(g + g - 4*g) - 9*g**4 - 6*g + 6*g).\nAnswer: -91*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-912)\/(-171) - 15\/(-9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - (3 - 2 - 0). Let h(r) = -r**3 + 10*r**2 + 16*r - 11. What is the units digit of h(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272\/108 + (4\/(-9))\/(-2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/280 and -17\/14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -126 + 2*n**3 + 4*n - 123 + 0*n + 245 in the form q*n**3 + v + x*n**2 + w*n and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 5 = -4*h - k, 0 = -2*h - 4*k - 8. Suppose h*q + 16 = 34. Solve 6 - q = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**4\/30 + 14*m**3\/15 + 32*m**2\/5 - 373*m. Suppose y(t) = 0. What is t?\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g + 4 - 219*g**3 + 3*g - 3*g + 9*g**2. Let r be k(6). Round r to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1200 and 57744400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = -26*q + 25*q, 2*a + 12 = -2*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97674582 to the power of 1\/2, to the nearest integer?\nAnswer: 9883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -63.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4981 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11556 = 8*p - 20*p. Suppose -p*i + 969*i = 24. Solve 5*b - 3 = 2*k - 0*k, b + i = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167768 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) - 2013\/(-55). What is the greatest common divisor of 37 and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13997626 and 382.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 5922 - 1938. Suppose 5*q = 2*f + n, -4*q - 2*f = -0*f - 384. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 7*f - 7*f)*(-9 + 33 + 31).\nAnswer: -275*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35510 and 53530?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i - 3, 4*i = -5*c + 1. Let x be 1 - (-2 + 1\/c). Find the third derivative of d**2 + d**4 - d**2 + x*d**2 wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667 a factor of 262994136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.7, 1\/5, 2\/7, -30 in decreasing order.\nAnswer: 12.7, 2\/7, 1\/5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -409 + 181 + 81*i**3 + 175 + (-2*i - 3*i + 4*i)*(-3*i**2 - 3*i**2 + 4*i**2).\nAnswer: 83*i**3 - 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183983\/18 - 10218. Let x = 103735\/2626 - 4\/1313. Find the common denominator of x and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1917911833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 11300213030221?\nAnswer: 11300213030232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -98\/15 bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 149, 319, 499, 689, 889, 1099?\n\"Answer: 5*b**2 + 155*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, s: 6, z: 4}. Give prob of sequence psz.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 28*g + 863. Determine w(-18).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**2 + 3*i - 4. Let j(a) = a**3 - a**2 - 1. Let r(q) = -j(q) - k(q). Suppose -486*h = -662*h - 704. Give r(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4732 from 0.816.\nAnswer: 4732.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177085, -0.1, 3, -1\/2, -3 in increasing order.\nAnswer: -177085, -3, -1\/2, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -3*b + 13, -947 = 5*b - 4*o - 976 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -4, 0.1, -20, 131?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/76 + -115\/76. Which is the closest to 0.1? (a) -0.5 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*r + 72, -r + 4*c = -0*r + 27. Round r to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1584850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337545439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 + -135. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -50. Let t = 30.05 - s. Let u = -0.05 + t. Put u, 2\/5, -0.4 in descending order.\nAnswer: u, 2\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1570215m in millimeters?\nAnswer: 157.0215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -425 - -425.4. Let r be 34\/9 - (-4)\/18. Let j = r + -3. What is the closest to 1 in w, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -5 - 2) + 9 + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27012 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 - 37*v - 22. Let s be (-27)\/((21\/(-14))\/1). List the prime factors of d(s).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2*a - 3*a)*(5*a - 14*a + 61*a).\nAnswer: -260*a**2 + 52*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337489 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.2, 49, 5, 42?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*y + 59*y - 37*y + 2 + (3 + 2 - 3*y - 4)*(0 - 5 + 2) as o*y + i and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -47\/13, -7\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2. Let j(o) = o - 3*o + 4*o - 5*o. Give h(j(k)).\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiu when three letters picked without replacement from {i: 4, u: 8, k: 5}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(192)*-6)\/sqrt(8))\/((3*1*sqrt(64))\/sqrt(8)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/80*(-11175)\/(-630) and 133\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -33*s + 9485. Give w(288).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 117082257.8 to the nearest one million.\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 22*y - 6. Let q be t(3). Suppose 4*z - q = 112. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i + 2*i**3 - 3*i**3 - 4*i**3 + 10.\nAnswer: -5*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 100308*k\/7 - 1257711858\/7.\nAnswer: -2*(k - 25077)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*j - 6 = 0, j + 3*j - 16 = -2*b. Suppose -b*u = -3*o + 31, 0 = -0*o + 5*o - 2*u - 47. Let a be -2 + 2 + (9 - o). Which is smaller: a or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*t - 18, 5*t = -3*x + 4*t + 16. Suppose -143 - 704 = -x*a. Let d = 121 - a. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*f + 60*f - 123*f)*(2*f**2 - 2*f**2 + f**3).\nAnswer: -234*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7610 and 80?\nAnswer: 60880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*18*(-1)\/(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.49336 * -0.1.\nAnswer: -1.049336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-94)\/(-8) - 9\/(-36). Suppose 0 = -l - 2*l + h. Let p = l + -2. Solve 4*c - 3 = 2*r + 13, -p = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15297857279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = -2, -u + 108 = 3*j. Is 35 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*n + 1281 = 2*m - 1372 + 725, 5*n - 10 = 5*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21\/4)\/(7\/84).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/168 and -181\/90.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63188 is divided by 212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -16*k**3\/3 + 23*k**2\/2 + 2. What is the second derivative of w(u) wrt u?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4276775 and 2.\nAnswer: 4276777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isspissspsssispssss. Give prob of sequence ss.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1 - 3 - 10*q - q**2 + 5 - 17. Let t be b(-8). What is the first derivative of 7*a**4 - 67*a - 1 + 67*a + t wrt a?\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*o = 19, -3*o = p - 4 - 1. Solve -4*t + 8 = -p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*s = 12, f = -0*f - s + 3. Let q(o) = -7*o + f*o**3 + 0*o**3 - 9*o**2 + 3 + o**3 + 2*o**2. What is the tens digit of q(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(12)*4)*-2)**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.9952 rounded to the nearest integer?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0 - 2 - 13*v - v + 0. Let w be z(-18). What is w rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 + -153. Put 2, 3, j, -2 in decreasing order.\nAnswer: j, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 34. Let x(u) = 4*u**2 - 11*u - 27. Let s be x(f). Let r = s + -198. Calculate the highest common factor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 3. Let i(l) = 4*l**2 - 10. Let z(p) = -2*i(p) + 7*y(p). Let w(u) = -5*u**2 + 2*u - 6. What is w(d) - 6*z(d)?\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -9*d + 72. Let i be d\/(-10)*(0 + -5). Let k = i + -11. Is k bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -1 - (-7 - -8). Suppose -2 = 3*t + 2*z, 2*z + 2 = -c*t + 4*t. Solve -s - 5*l - 5 = 0, t = -3*s - s - 2*l - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 2*c = -4*s + 1806, -5*c = -5*s - 2235. Round s to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/2*(27\/(-6) + 4). Solve -15 = g*d - 7*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -5 (b) 1 (c) -0.4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 11*q + 8 = 0. Let d = -74 - -71. Is q - (d - -2) - -628 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(0 + 6\/3). Let n(m) = -7*m**2 + 6*m - 8. Let i(a) = -2 + 6*a - 9*a + 3 + a**2 + 2*a. What is q*n(k) - 6*i(k)?\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*q - 64132 + 869012. List the prime factors of q.\nAnswer: 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*m + 2*m - 13 = 0, 4*q + 5*m = 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**10\/l*l**(-1\/35)*(l*l*l**1)**(-12) assuming l is positive.\nAnswer: l**(-946\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 9*r**2 + r - 13. Let f be m(9). Which is the nearest to -3\/4? (a) f (b) 2\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 197, 288, 347, 362, 321?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071146 plus 9?\nAnswer: 8.928854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(65)\/(sqrt(5)*2) - (sqrt(468) + sqrt(468) + 0))**2 - ((sqrt(1300) - 1*sqrt(1300))**2 + sqrt(1053)*2)).\nAnswer: -6877\/2 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (10\/2 + -1). Let x be n\/(-4) - 2\/(-4). Let j be -1*(-2)\/4*-12*(-18)\/(-108). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9559 + 9555 + 344*i + 299*i.\nAnswer: 643*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 501565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -598, -898?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1. Let t(m) = 300*m**2 - 5 - 152*m**2 - 151*m**2 + m. Give -3*r(n) - t(n).\nAnswer: 3*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**2 + 14*m**2 + 205*m**3.\nAnswer: 205*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692153 is divided by 863.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14648 + -9721. What are the prime factors of t?\nAnswer: 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -25*w + 6318. What is the smallest common multiple of w and 4?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**2 + 29*n**2 + 6*n**2.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43907286 is divided by 2843?\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19787\/8 - 2467. What is the common denominator of q and 24\/40 + 1449\/270?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243956 and 88750?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006922495 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 divided by -4?\nAnswer: 103\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 2 - ((-9 - (3 + -7)) + 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2 + 2 + o**2. Let v(w) be the third derivative of 0*w**3 - 1\/30*w**5 - 3*w**2 + 0*w**4 + 0 + 0*w. What is v(z(n))?\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/25 and -37\/975?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*t + k, -3*k = t + 3 - 17. Suppose t*m - 27 = 3*s, 2*s = m + m - 16. Let r = 15 + s. Solve 8*j - 12 = r*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 9*m + 10. Let q be r(-8). Let d be 6 + (q - -2) + -2. Let x = d - -3. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 23*o - 15 + 18)*(-o**4 - 4 + 4 + (0*o**2 - o**2 + 2*o**2)*(3*o**2 - 3*o**2 - 2*o**2)).\nAnswer: -54*o**5 - 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 9:37 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8 = 4*l + 2, 2*l - 14 = 3*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6933367 to the nearest integer?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134163840 divided by 6.\nAnswer: -22360640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4972145005 less than -0.3?\nAnswer: -4972145005.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 17. Suppose t = 5*q + 15. Is (4269 - q)*2*(-5)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1\/(4\/32). Let n(q) = 6*q - 8. Does 16 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 973738, 1947475, 2921212, 3894949, 4868686, 5842423?\nAnswer: 6816160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - l - 8295 = -2692, l + 1869 = n. Suppose 201 = 4*h - n. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**7\/1260 + m**4\/12 - m**2. Let d(g) be the second derivative of j(g). Let x(s) = s**2. Give d(x(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.701 - -0.701000719. What is i rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 0 - (-324)\/4. Let z be m\/(-12)*(-1)\/4. Solve 5\/3*w - 1\/3 - w**2 + 4\/3*w**4 - z*w**3 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 + 5*a + 1. Let m(h) = -4*h**2 - 2*h + 3. Let q = -18 - -15. Let r(g) = -3*g**2 - g + 2. Let i(z) = q*r(z) + 2*m(z). What is -5*i(f) - j(f)?\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-30))\/((-9)\/(-189))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 87*d - 28. Let u(i) = -508*i. Give u(l(o)).\nAnswer: -44196*o + 14224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 + 34*b - 36. Let s(a) = 4*a**2 + 34*a - 36. Let r(x) = -6*s(x) + 4*v(x). Find i, given that r(i) = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 319647939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 3*p + 5. Let l be b(-2). Suppose 2*i = -l*i + h + 59, 3*i - h - 35 = 0. What is the least common multiple of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4 - 2. Suppose 4*k + 2*n + 18 = 0, 6*n + 5 = n. Sort k, i, -2 in ascending order.\nAnswer: k, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let b be (6\/15)\/((-4)\/(-5)). What is the nearest to -1\/2 in s, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**4\/12 - o**3\/6 - o**2\/2 - 2*o. Calculate q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (-77)\/21 + 2)*-15. Let y = -1 - -1.5. Which is the closest to 2? (a) y (b) n (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 21 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -654 from -30471606.24.\nAnswer: -30470952.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n - 1 + 1)*(-16 - 3 + 6)*(1 - 3 + 1) in the form p + j*n and give j.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 42 = 78 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.2 - -6.3. Is 4 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.8, 39, 0.2, 5, -0.12, -1\/4, -5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofoy when four letters picked without replacement from ffyyyoyo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 41 - 22 = 0. Let z = 23 + a. Suppose z*c = 3*c - 201. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/132)\/((-3)\/(-9)). Let u = -0.1 - 2.9. Let v = u - -8. What is the closest to z in -2\/3, v, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {e: 1, i: 2, p: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0*k + 0*k)*(89*k**3 + 7*k + k - 71*k**3) in the form w + m*k**4 + h*k**3 + b*k + u*k**2 and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -249.5 * 0.2.\nAnswer: -49.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -24*a + 461. Calculate i(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34750, -69498, -104246?\n\"Answer: -34748*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/3 + 36688*z**2\/3 + 48926*z + 36696 = 0.\nAnswer: -3, -1, 18348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*((x*x*x\/(x*x\/x**(23\/4))*x*x)\/x)\/x)\/(x*(x*x*x\/(x\/(x**(2\/23)\/x)))\/x))**(-4\/9))**11 assuming x is positive.\nAnswer: x**(-6743\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 0*h - 6*h - 45 = -5*h, 26*v - 9*v = 19*h - 13*h - 200 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 6*t. Let b be s(-6). Suppose l + r + 17 = 4*l, b = 4*r + 8. Let d = 8108.4 - 8108.3. What is the second smallest value in l, 0.02, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a783d (base 15) in base 16?\nAnswer: -81d15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*a - a - 12*a + 2*a - 5*a + 0*a + (-2*a - 2 + 2)*(-4 + 2 + 0) + 0*a + 2*a + 0*a + 4 - 4 - 4*a.\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.2 (b) -4 (c) 2\/779 (d) 1.4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3 + sqrt(2448) + sqrt(2448) + 1 + sqrt(2448) - (-4 + sqrt(2448) + -2))**2 - (3 + -5 + (2*sqrt(2448))**2)).\nAnswer: 17 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9010927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 + 0.8. Sort l, -3\/7, -2\/11.\nAnswer: -3\/7, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 346?\nAnswer: -5\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 6 (b) 1\/7 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 4 + 4 + (6 - 3 - 2)*(2*c + c - c) + (-2 + 2 + 1)*(4*c - 2*c - 4*c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15052508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + 0*p**2 + 2*p**2 - 5 + p. Suppose 0*z - 2*z = 6. Let m(o) = 3*o**2 - 3*o + 14. What is z*m(b) - 8*u(b)?\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*l + 69, -4*l = -0*u + 2*u - 50. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/9 or 4484.3?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -408 + 415. What is the biggest value in c, -1\/2, -169?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 2. Let q be (3*-1)\/(3\/(-4)). Solve v - w*v - r + q = 0, 2*r = 2*v - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z = -0*z - 49*z + 23*z. Put -4, -2, 30, z, 1 in increasing order.\nAnswer: -4, -2, z, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Calculate the least common multiple of 6 and -2 + 10 + q\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*d = -8, -5*c + d + 13 + 12 = 0. Suppose 2*f + 2*f + c = 2*x, 2*f = 5*x + 1. Let i be (2 - -2) + (-2 - x). Solve -2*s - i*s - 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 434*t**2 - 7*t + 842. Let i(k) = 440*k**2 - 5*k + 844. Let p(n) = 3*i(n) - 2*s(n). What is the derivative of p(w) wrt w?\nAnswer: 904*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -14*n + 319. Let y be z(0). What is y rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -29. What is the first derivative of 693*d - 693*d - 43*d**u + 67 wrt d?\nAnswer: -172*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 5, 0, 3, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3104080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 709.74657s to hours.\nAnswer: 0.197151825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i**2 + 5. Let x be s(0). Let w = 985 - 981. Let l(y) = -2*y - 3*y + 1 - x*y**2 + w*y**2. Calculate l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 13*v**2 + 9*v + 4. Suppose -l = -0 + 12. Let t be r(l). Calculate the highest common factor of 60 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 165. What is the remainder when 27 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-2)\/(-4)*-2). Suppose b = 5*m - 29 + 24. What are the prime factors of m - 0 - (-6 - 3 - 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001644 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 d, and 1 g when four letters picked without replacement from edeeegneegdgdaagn.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129.7 + 130. Let i = -16.96 + 17. Which is the second biggest value? (a) 3 (b) i (c) 2\/13 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 2*y - 2*y)*(-1 + 1 + 2) + (7 - 7 - 3*y)*(-2 - 4 + 4) to n + i*y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813513.\nAnswer: 3, 373, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 7*t**2 + 0*t + 9*t**2 + t - 10*t**2. Let l(q) = -q**2. Calculate l(k(o)).\nAnswer: -36*o**4 - 36*o**3 - 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/87 and ((-300)\/(-27))\/(-7 - 329\/(-21)).\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2187577 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38820)\/(-84110))\/((-1)\/(-7)).\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 2 - 7*w**2 + 5 + 5*w**2.\nAnswer: -4*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -784*j + 5625. Calculate s(8).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, -10, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 42 = -a, -2*a - n = -0*n - 90. Suppose -4 = p - 8. What is the remainder when a is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(891) + (sqrt(891) - (sqrt(891)*-2 + sqrt(891))*-2) - ((sqrt(891) - (1*sqrt(891) + 0)) + sqrt(891))))**2.\nAnswer: -36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -8.9. Let h = 6 - 7. Let r = 1.2 + h. What is the nearest to w in -3\/7, r, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m**3 - 36*m**3 - 1008*m + 1008*m.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 100927 and -35107.\nAnswer: 65820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -299 - 4?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrufkkkfkfk. What is prob of picking 1 r and 2 f?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -32. Let z be 14\/(0 - v) + -4. What is the third derivative of -8*x**6 + z*x**6 - 2*x**6 - 4*x**6 - 13*x**2 wrt x?\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/(-198))\/((-4)\/114) and -131\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13109 + -6812. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkf when three letters picked without replacement from {j: 1, d: 5, f: 3, b: 1, k: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 133. Let i = -141 + o. Which is the closest to -0.1? (a) -4 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-6)*4*126\/(-12). Suppose w*y = 10*y - 1224. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 2*p**2 + 8*p**2 - 3 + p**2. Let h be b(-2). Let k = h + -10. Is k greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71387 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5488186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.1. Let m = 2826 - 2823. What is the closest to -1 in -2\/5, m, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 - 61*w - 15. Let x be u(-15). Suppose x = 3*v - 5*v + 964. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 73.951. Round i to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -5*k**3\/6 + 11*k**2\/2 - 565*k. Give j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2 + c. Determine v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbppqpbb. Give prob of picking 2 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021 divided by 1?\nAnswer: 4021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6883*n**4 - 2 - 4*n**2 + 0*n**2 + 6725*n**4 to the form g*n**2 + m*n**4 + a*n**3 + o + p*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90386100 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.68 times -0.3\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117?\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqrprrvpqqqrpzqqr. What is prob of picking 1 v and 1 r?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 3)\/(1\/2). Let h = r + -1. Let d = 0 - -1. Calculate the highest common factor of h and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032826221 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19279, -40159, -61037, -81913, -102787, -123659, -144529?\n\"Answer: h**2 - 20883*h + 1603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(110) + (sqrt(110) - (sqrt(110) + -1*sqrt(110)) - sqrt(110)))*4)\/(((-2*sqrt(60))\/sqrt(3))\/(sqrt(22)\/sqrt(176))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1 - (-2664)\/7776*18?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12985 + 29254. What is the ten thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36731868 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*f - 7 = 0, -4*w - 9*f + 11*f = -22. Suppose -2*r - r + 889 = -w*v, 875 = 3*r + 2*v. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2*h**2 + h**2)*(-1212*h - 1427*h - 307*h + 72*h) + 0*h**3 + h**3 - 3*h**3.\nAnswer: -5750*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-39)\/26)\/(2\/(-1228)) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/1240395971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**4 - 12 + 12 + (2 - 1 + 0)*(4*w**4 - 4*w**4 + 7*w**4) + 3*w + 9*w**4 - 3*w + (w**3 + w**3 - 3*w**3)*(2*w + 0*w + 0*w) - 2*w**4 - w**4 + 0*w**4.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) -3\/278 (c) -2\/3 (d) -10299.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1354*k**2*o*q**3 + 2*k**2*o*q**2 - 3*k**2*o*q - 7*k**2*o + k**2*q - 4*k*o*q**4 - 4*k*o wrt q.\nAnswer: 8124*k**2*o - 96*k*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 - -6) - 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*k - 116 = 132*k. Let a be 609\/24 - (4 - k\/8). Solve -5*b = 5*y - a, -5*y + 5*b = -6 - 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/5)\/((-4)\/(-10)). Let l(f) = f**s - f**2 + f**2 + 5*f**2. Let b(c) = -c. Determine b(l(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 27 = 5*u, -3*u + 3*j + 13 = 4*j. Suppose 9 + 136 = u*h. Let p = h + -12. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 9*g - 2 = 4*n, -3*n + 2*g - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**6\/19 - 17*a**5\/190 - a**4\/57 - 30*a - 2. Find g such that c(g) = 0.\nAnswer: -1, -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 23. Let g be t(-13). Let y = g - -11. Which is bigger: 2\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 8 = -3*l, 22377*l - 22382*l = 4*u + 38 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/q)\/q**(4\/9))\/(q**(-1\/4))**(1\/38)*((q**(-2)\/q)\/q*q)**(-9\/4)\/(q*q**(-2\/19)*q*q**(-8)) assuming q is positive.\nAnswer: q**(19723\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 6068*d**2 + 6084*d + 16 = 0.\nAnswer: -1, -4\/1517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**4 - 9*z**2 + 11. Let y(a) = 5 - 4*a**2 + a**4 + a + 2*a - 3*a. Let n(i) = -4*j(i) + 9*y(i). What is the first derivative of n(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 784*g + 27304. Determine n(-220).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1416)\/(-72) + -16)\/(-1)*3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271 + -180. Suppose 2*v - 13 - h = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.32, -2.6, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 10*g + 37)*(3 - 1 + 0) + (-3 - 3 + 2)*(-g - 3*g + 2*g) + 37*g + 152 - 152 in the form c + s*g and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j\/(j*j**(-1)*j)))\/j)\/((j\/j**(-6))\/j))\/(j*j**(-3\/4)*j*j*j\/(j*j**(-1\/2))) assuming j is positive.\nAnswer: j**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o - 223 + 5813. Calculate the highest common divisor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 + 108. Suppose 2*v + 4*j = v - 17, -2*v + 4*j = 82. Let r = v - m. Solve 3*p + 1 + r = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112 - -132) + -264 - (-10 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbc when three letters picked without replacement from wcmcmbcbbmccbcccbm.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3457 divided by 68\nAnswer: 3457\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2130 * -4700.\nAnswer: -10011000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0626? (a) 0.1 (b) 5 (c) -66\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**7\/840 + z**6\/60 - z**5\/30 - z**4\/8 - 22*z**3\/3 + 18. Let g(a) be the third derivative of h(a). What is g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214163512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84130 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3325 and 3164000.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -940*y. Let i(m) = 3*m**2. Determine i(s(o)).\nAnswer: 2650800*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.96. Let u = 8.16 + w. Let j = u - 7.6. Put 0, -0.4, j in ascending order.\nAnswer: -0.4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12272 and 38232?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -86\/5, 2, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i = -41*i + 10865640 + 10997526. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1529 + -1531. Let v = -5 + 5.4. Which is the closest to j? (a) 2\/11 (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(1*sqrt(128))*-2.\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 39*w - 66.\nAnswer: -3*(w - 11)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22048, 21148, 20248, 19348, 18448?\n\"Answer: -900*m + 22948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**2\/2 - 17. Let o(s) = -2*s - 1. What is -2*o(g) - 3*y(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Suppose -2*l + u - 6 = -y*u, 0 = -3*l + 3*u. Suppose -l*v - 4 = -2*v. Is v greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47911 - 189*n - 47911)*(-3*n - 4*n - 5*n).\nAnswer: 2268*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100010 + 100?\nAnswer: 1010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -151500 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6090\/1155*(0 + 12 + (14 - 15))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 4912?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2479*i*u**5 - 2*i*u**3 - 5406*i + 3*u + 3 wrt u.\nAnswer: 49580*i*u**3 - 12*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95572084?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {v: 1, d: 4, j: 2, l: 1, c: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239774 is divided by 91?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1296*v**2*w**3 - v**2*w**2 - v**2*w + 27*v**2 - 11*v*w**3 + 49*v*w**2 - 248*w**2 + 176 wrt v?\nAnswer: -2592*w**3 - 2*w**2 - 2*w + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 6*h + 7. Let d be 1 - -1 - (3 - 5). Let q = d - 3. Let c be (1 + -11)*q\/(-2). What is b(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171 by 394.\nAnswer: 171\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-990) - 76657\/(-54285)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 287\/(-147)*-3 - (2 - (-30)\/(-14)). Solve -39*a + o = -45*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5*r + 3*r)*(4*r**2 - 3*r**2 - 2*r**2) - 134*r**3 + 1029*r**3 + 2 - 2.\nAnswer: 894*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 36*m**2 + 160*m + 138. Let r(v) = -18*v**2 - 80*v - 68. Let i(n) = -18*r(n) - 10*y(n). Factor i(j).\nAnswer: -4*(j + 3)*(9*j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431816 is divided by 61687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8686 and 19190.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 30. Suppose 0 = -g*m + m + 6. Calculate the highest common factor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008506 minus 303038?\nAnswer: -303038.008506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 35*p + 11 + 5*p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3337833*w - 3337293*w - 38880 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:51 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.1938\nAnswer: -0.05814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -10713.\nAnswer: 4\/3571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.59? (a) 0.3 (b) -0.4 (c) 0.045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 590838149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/219096 and -61\/49572?\nAnswer: 17746776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8 (base 14) in base 6?\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9860 by 1972.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -11\/9485?\nAnswer: -11\/9485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 6:30 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 646 + 612 = 2*f - 4*f - 4*s, -s = -4 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 - 14 - 7*d**2 + 14 to the form z*d + i + s*d**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -258, -3, -0.8, -0.038, -4 in increasing order.\nAnswer: -258, -4, -3, -0.8, -0.038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b66d (base 14) to base 9.\nAnswer: -243215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 3*u**2 - 3*u - 3. Let x be i(3). Let n = -7 - x. Let c(d) = -d**3 + 6*d**2 - 5*d + 4. What are the prime factors of c(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*u + 31*u + 46*u + 31*u + 33*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 - -150. Suppose -29 = -7*j - h. Solve -3*u - 11 = -4*m, 5*m - u - 5 = j*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5063932us?\nAnswer: 506.3932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.33736008 to three dps.\nAnswer: 1.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17080 (base 9) to base 2\nAnswer: 10110111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 7:55 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10466 (base 9) in base 16?\nAnswer: 1b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 3:14 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -866b (base 12) to base 6\nAnswer: -152215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 minutes after 8:23 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -19. Let h = b - -25. Put h, -0.4, -1\/4 in decreasing order.\nAnswer: h, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t*t*t)\/t**(-8)*(t**2*t)**(-30))\/((t**(-2)\/t)**(-22\/7)*(t\/((t*t\/(t**(1\/2)*t))\/t*t))**(-42)) assuming t is positive.\nAnswer: t**(-458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -35. Let l(o) = o**3 + o**2 + o + 90. Let p be l(0). What is the highest common divisor of p and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, 1\/7, -820597, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54993 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -125, 3, 0, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r - 2341 + 2251 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5443, 5439, 5433, 5425, 5415, 5403?\n\"Answer: -u**2 - u + 5445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*p - 9287 - 8906 = 0. What is the remainder when 618 is divided by p?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -2*k. Suppose z - o - 6 = 0, -k*z - 3*z - 4*o = -66. Suppose -2*n - 5*q + 4 + z = 0, 32 = 3*n + 2*q. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70127 and 340.\nAnswer: -23843180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 21*b + 25*b + 0*b - 30*b**2. Let s(w) = -61*w**2 + 92*w. Let l(n) = 5*r(n) - 3*s(n). What is the second derivative of l(i) wrt i?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 4. Let p(y) = 11*y + 4*y + w*y - 2*y. Let q(t) = -2*t**2. Determine p(q(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-7)*(-51)\/((-19380)\/266)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117.7 - -118. Let y = -7 - -6.7. Which is the second biggest value? (a) s (b) 2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1 - 36*l - 2 + 29*l - 9*l**2. Let f(x) = 14*x**2 + 11*x + 2. Determine -5*f(k) - 8*i(k).\nAnswer: 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81331787 is divided by 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*m + 45. What is the derivative of -m - 5 - 4*h**2 + 15 wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20700 and 34500?\nAnswer: 103500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1191545743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9584, -9575, -9560, -9539, -9512, -9479, -9440?\nAnswer: -9395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + 30. Suppose 0 = -a - 3*a - k. Let z be (2 - a)*(1 - -1). Calculate the greatest common divisor of z and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29999 + -119981\/4. What is d in -c*d**2 + 27\/8 + 3*d**3 + 3\/8*d**4 - 3*d = 0?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q**4 + 13*q + q**4 + 8*q - 6*q wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k**3 - k**2 - 2. Let f(q) = 65*q**3 + 4*q**2 + 47*q + 14. Determine -f(l) - 6*h(l).\nAnswer: l**3 + 2*l**2 - 47*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -243049, -243047, -243043, -243037, -243029, -243019?\n\"Answer: a**2 - a - 243049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 3.015395?\nAnswer: -0.21107765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 112 = -29*a. Let f(m) = -m**2 - 8*m - 9. Let g be f(-6). What is the fourth smallest value in 5, -10, a, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-11\/4)*(h*h\/(h*h**(-2\/15)))\/(h*(h**(-1)\/h)\/h*h) assuming h is positive.\nAnswer: h**(-37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-1365) - (-71)\/(-195))\/(-7 - -3)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1146\/803 + -144\/73. Is -111 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82122485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**4 + 366304*i**3 - 8386530072*i**2 + 16771961248*i - 8385797476 = 0.\nAnswer: 1, 45787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069818 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 2*f)*(-1449*f + 495*f - 6239*f).\nAnswer: 14386*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1113 - 1095.7. Let l = -1.5 + 6.6. Let p = l - g. Round p to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37, 95, 191, 325, 497?\n\"Answer: 19*o**2 + o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:14 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -101100 (base 2) to base 7\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148605*o**2 - 3*o - 67050 wrt o.\nAnswer: -297210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/17, -2\/5, 2\/3, -4 in increasing order.\nAnswer: -4, -2\/5, -1\/17, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 2319.\nAnswer: 11595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/8, -1, 8, -156, -0.1, 3 in descending order.\nAnswer: 8, 3, 1, -0.1, -1\/8, -1, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by 2501.\nAnswer: -113\/2501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/48 and (-210)\/28*3\/16680*-17?\nAnswer: 6672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7399807 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5167, 10693, 16221, 21751, 27283?\n\"Answer: s**2 + 5523*s - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 49675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222012 - 202001?\nAnswer: 11020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**7\/273 + 2*b**6\/195 - 2*b**5\/195 + 4104*b**2. Let l(a) = 0. What is a?\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 274289.46 months?\nAnswer: 2285.7455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b + 51. Let c be x(-6). Suppose c*h = -3*h + 14820. List the prime factors of h.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 5 - 24*y - 4 + 20 - 6 to the form i*y + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2325795 and 16495.\nAnswer: 2325795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -29. What is g rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -30. Let g(y) = y - 1. What is g(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36812 divided by -18406.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-400 - 366 + 3*c + 679)*(4 + 14 - 13) + (0 + 2 + 3)*(0*c - c + 3*c) as f + t*c and give f.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -10. Let v be 584\/(-120) + (-4)\/30. Let u(a) = -2*a**3 - 10*a**2 + 5. Let r be u(v). Solve m*q - 10 = -3*l, -r*l + 0 = -5*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 + 16 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from rfinqyny?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153 + 159\/2*p + 3\/2*p**2.\nAnswer: 3*(p + 2)*(p + 51)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**12*l*l\/(l*l**(1\/2)))\/((l**(4\/13)*l)\/(l*l\/l**(-17))) assuming l is positive.\nAnswer: l**(785\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 5:28 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81830 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/313, -3, 825?\nAnswer: 2\/313","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, u: 8, r: 3}. Give prob of picking 2 j, 1 r, and 1 u.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000569 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s. Suppose -2*m + 4 = -4. Let j be t(m). Suppose 2*p = 3*p - j. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -242\/3*d + 16\/3*d**2 + 2\/3*d**3 + 224\/3 = 0.\nAnswer: -16, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*o**4 + 1 - 29*o**4 + 16*o**4 + o**2 - 2*o**3 to l*o**2 + d + u*o + a*o**3 + s*o**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5415905047?\nAnswer: 7, 773700721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 52*z + 911. Is 17 a factor of h(-52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.004767 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10211320122 - -3?\nAnswer: 10211320131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/63 + -25\/252. Sort b, -0.5, 2\/3 in increasing order.\nAnswer: -0.5, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291947 and 274?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*j + 3*j - j)*(0 + 0 + 1) + 4*j + 3*j - 4*j)*(153 + 115 - 24) to v + n*j and give n.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x - 4*b + 30, 0 = -3*b + 15. Suppose 1 = x*h - 5. Let j = 23 - 19. Solve l - h*l = j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.584 - 0.416. What is the third smallest value in k, -0.3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d - 75 = 0. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.37 - -0.07. Let r = 1.12 - 0.12. What is the third biggest value in 1\/3, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -7*a + 9*a - 7, -5*a + 3*z + 23 = 0. Let t be ((-9)\/15)\/(a\/(-40)). What is the greatest common factor of t and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63812*o + 9056*o**2 - 63812*o.\nAnswer: 9056*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4773354*k**2 - 6*k - 8258031?\nAnswer: 9546708*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 8:31 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 274976263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 2*y + 45 - 3*y - 6*y. Let i be s(7). Suppose 5*g = g - i*z + 143, -5*g + 140 = -4*z. What is the remainder when 85 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3 + 1. Let p be (-7 - -6) + 30\/q. Let w = -11 + p. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13720 divided by 56?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 2*b - 2*b + 2*b**4 - 2*b**4 - 4*b**4 - b**2 + b**2 - b**4 + (0*b**3 + 2*b**4 + 0*b**3)*(1 - 1 - 1).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(2\/(3 - 2)). Let c = 908 + -59018\/65. Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/24 + (-1)\/(-4). Suppose w*o - 30 = o + 2*v, o + 3*v - 10 = 0. What is the least common multiple of 4 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8341*j + 11 - 11 - 148*j + 58*j.\nAnswer: -8431*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**2 + 3*k**2 + 0*k + 0*k to u*k + p*k**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u**2 + 2699*u + 44. Give s(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288621.3*-0.1.\nAnswer: 28862.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 4)*(-181*o - 22*o + 27*o + 1).\nAnswer: 1232*o - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 5, 1\/2, 2, 0.4 in descending order.\nAnswer: 83, 5, 2, 1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46116494*x**5 + 502*x + 58*x**2 - 46116409*x**5 + 2138*x wrt x.\nAnswer: 1700*x**3 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-10)*(3 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2148 + 297. Suppose 3*w = 4*b - 302 + r, 4*w - 2*b = 2864. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/1 + -1 + -1. Does 9 divide a\/((-6)\/81 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343 + -24?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*t + 302991 = t, -p - t = 303003. What is p rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-17))\/(-4 + 3). Let o = a - -1\/85. Is o <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9011 = -2944. Let t = y + 88516\/37. Let r = 1827\/185 + t. What is the common denominator of -59\/6 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 260\/3. Is l greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) + sqrt(21) + sqrt(84))*5)\/(sqrt(27)\/(sqrt(9)*1)))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) -2\/11 (c) -1\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let d be (-66)\/(-3) - (1 + (j - 2)). What are the prime factors of 24\/((1 + 2)\/(d\/2))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08713758 and 0.6.\nAnswer: 0.052282548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 0, -2585, -1, -9 in decreasing order.\nAnswer: 14, 0, -1, -4, -9, -2585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(2448)) - ((-3*sqrt(85) - sqrt(85))*-4 + sqrt(85) + sqrt(85) + sqrt(85) + sqrt(85))\/sqrt(5).\nAnswer: -32*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*m = -51 + 4, -3 = -m. Suppose u = 50*o - 43*o. Let b = 36 - 19. Calculate the remainder when b is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**9\/6720 + 13*x**8\/6720 - x**7\/105 + x**6\/60 + x**5\/12 + 6*x**2. Let p(y) be the third derivative of b(y). Solve p(s) = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-2)*12\/(-7). What is the third derivative of 2*c**6 + c - c + 0*c**k - c**2 wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.02, -146, -2\/21, -1\/5, -2\/13?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.036989 and -23.757936?\nAnswer: 23.794925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g)**(-2\/9)*g**(2\/5)*(g*g**16)\/g*g)**(-49) assuming g is positive.\nAnswer: g**(-40327\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17710, 140892, 475252, 1126378, 2199858, 3801280?\n\"Answer: 17598*f**3 + f**2 - 7*f + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2191 * -44.\nAnswer: 96404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 6*h**2 + 4*h + 7. Let p be w(5). Let x = -12 + 28. Suppose -x = -0*r + 8*r. What is the closest to p in r, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30586618 = 583*u - 621*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693) + 6*-2*sqrt(693))\/(-1*sqrt(11)*-1))\/((sqrt(90) - sqrt(90)*2*-6)\/(sqrt(10) + 2*sqrt(10)*-3 - sqrt(10))).\nAnswer: 66*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45988, -91975, -137962?\n\"Answer: -45987*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 0 + 4 + 0. Let u(p) = p - 2. Let i be u(4). Let g = 3 - i. Solve b*r - g + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/180 + (43244\/(-1710) - -24)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Suppose w*f - 13 = 2. Suppose f*l + 87 = 6*l. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160 - 204 + 364 - 2612*u to g*u + n and give g.\nAnswer: -2612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**6 - h**3 + 3 - 4*h + 24803275*h**4 - 7*h**3 + 271*h**2 - 24803258*h**4 wrt h?\nAnswer: 960*h**3 + 408*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -24. Put -1, y, 4 in descending order.\nAnswer: y, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 + -116. Suppose -5*o = -7*o - 8, 3*v - 2*o + q = 0. Which is the third biggest value? (a) v (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**3 + 105790*v**2 + 317325*v = 0.\nAnswer: -21155, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -18.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 0.2, -832, 3, -3\/2, 0.17 in descending order.\nAnswer: 3, 0.2, 0.17, -3\/5, -3\/2, -832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 21599715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 3*t**2 + t - 4. Let k(q) = q**3 + 2*q**2 - 2. Give 5*k(h) - 3*w(h).\nAnswer: 2*h**3 + h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-2)\/2*-3. Let v = w - 9. Let i be 70\/(-24) + 2\/v. Is i bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 2*v**3 - 5*v**3)*(7*v + 2*v - 3*v).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from {n: 7, e: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64\/3 in 6, 5, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 191, 461, 825, 1331, 2027, 2961, 4181?\n\"Answer: 8*s**3 - s**2 + 217*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4582 by 2291.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117201 is divided by 316.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 9045498?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*o + 4*o + 4 - 4*o**2 - o**3 + 25*o.\nAnswer: -(o - 1)*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813970473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12956 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1220)\/(-183)*(-18)\/(-50))\/(-2*2\/(-160))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2739 and 1743?\nAnswer: 19173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -143325, 4.\nAnswer: -143325, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 14*x**2 + 15*x + 7. Let l = 7 + -6. Suppose 0 = -2*t + u + 33, -u + l = 4. Is w(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10457 - 6918. What are the prime factors of m?\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 123*n**3.\nAnswer: -123*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.6 - -4. Let q = -47\/4 - -12. What is the nearest to q in 5, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 470448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 12:54 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.61 + 0.21. Let g = x + 0.2. What is g rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13312122 - 0?\nAnswer: 13312122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -54. Suppose 2*n - 2*g = 1714, 4*n - 2*g + m*g = 3420. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -2218407?\nAnswer: -2218418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0161 - -0.4839. What is the nearest to 170 in u, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*x - 150 = 0, 5*h + 138 = -3*x + 4*x. Let z = h + 33. Is 11 a factor of (-153)\/z*4\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*o + 55*o - 46*o)*(6 - 30 - 16).\nAnswer: 2720*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 3*d**2 + 3*d**2)*(120 + 12 + 47) + 2*d**2 - 4 - d + 6 - 3.\nAnswer: -356*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y + 10. Let o be b(-8). Let c = o - 56. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -410903 by -4.\nAnswer: 410903\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5542 (base 10) to base 5.\nAnswer: 134132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-425)\/153 + (-4)\/18. Let w be ((-4)\/14)\/((-312)\/28 + 11). Sort w, y, 13 in ascending order.\nAnswer: y, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Suppose i = 2*n - 3 + 1. What is the remainder when (-227)\/(-3) + n\/3 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 240 + 214 = -2*f, 2*r + 5*f = 41. What is the smallest common multiple of 18\/5 + (-2)\/(-5) and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0)**22\/(z\/(z\/(z*z**2))*z*z\/z**(2\/11))*z**(2\/7)\/(((z*z**5)\/z)\/z*z)*z**(-1)*z**7 assuming z is positive.\nAnswer: z**(1422\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -44. Suppose 3*s - s + 16 = 2*l, 35 = 5*l - 4*s. Suppose 5*j = 4*n - 87, -l*j = -0*j + 9. Calculate the greatest common divisor of z and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 0*n - 3\/2*n**2 + 10. Let d(a) be the second derivative of -a**3\/2 - 71*a. Give d(r(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 2*t**2 + 1 + 6 in the form u + a*t + z*t**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 12 = -16*n + 29*n. Sort 0, n, 1, -1, -27 in descending order.\nAnswer: n, 1, 0, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 77*k**2 + 150*k - 2. Let g be o(-75). Which is the closest to -3\/13? (a) -5 (b) 5\/3 (c) 2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**6\/420 + i**5\/70 - 3*i**4\/14 + 418*i**2. What is q in d(q) = 0?\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6537 is divided by 3189?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -425482*b**4 - 2*b**3 + 32*b**2 - 3*b - 766.\nAnswer: -10211568*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4922.\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -377*c**2 + 130*c + 585. Let q(m) = 52*m**2 - 18*m - 81. Let p(x) = 9*f(x) + 65*q(x). Let b(g) = -50*g - 2. Give b(p(t)).\nAnswer: 650*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.6056 - 0.3944. Is k greater than 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 163196236, 326392470, 489588702, 652784932?\n\"Answer: -q**2 + 163196237*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2797*u - 690. Is x(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.56 - 1.8. Let w = h + 0.09. Which is smaller: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0, 1, 0.025?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 2*r - 1. Let s(o) = 2*o**2 + 3*o - 2. What is 3*k(a) - 2*s(a)?\nAnswer: 5*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -184. Let b = a - -118.9999972. What is b rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 745743082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 923, 41, 0 in ascending order.\nAnswer: 0, 41, 923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -116. Let w = h + 57. Find the third derivative of w*i**2 - 29*i**2 + 6*i**3 + 16*i**2 wrt i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:23 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15.06063 seconds?\nAnswer: 0.2510105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -310*y - 618. Let t be j(-2). Calculate the highest common factor of 21 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 11.7. Let a = -95 - -668\/7. Let z = a + -2\/21. What is the third biggest value in x, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101673 + -69418. What are the prime factors of s?\nAnswer: 5, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616758 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 1 - 1)*(-53*i + 120*i - 64*i + 27) as b*i + f*i**2 + d*i**3 + j and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a + 5*o - 19, -13 = -a + o. Suppose -2*r + 0 = -2*q - a, -2*r = -4*q - 14. Solve l - r = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, 0.06, -15, 179 in ascending order.\nAnswer: -15, -2, 0.06, 0.3, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*o**3*q + 115*f**2*o**3 + f**2*q + 2*f*o**3*q + f*o**2*q - 19*f*o**2 - 2*f*o*q wrt f?\nAnswer: -2*o**3*q + 230*o**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-8)\/j)\/j)\/j**(3\/2))**(18\/7)*((j\/(j*j\/(j\/j**(4\/3)*j))*j)\/j**(12\/7))**(-4\/3) assuming j is positive.\nAnswer: j**(-1775\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m + 50. Give k(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -1 + -9 - (0 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 587 and 49?\nAnswer: 28763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxxcxxx. Give prob of sequence xxcc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33080, 33072, 33064?\nAnswer: 33056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1237 divide 142425880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -37, -55, -73, -91?\n\"Answer: -18*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177440671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m - 1. Let r(l) = -7*l - 1. Suppose 3*t + 99 = -2*y, -5*t - 50 = y + 17. Let v = 37 + y. Determine v*g(w) + 8*r(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*j + 1355, j - 704 = -2*r - 151. List the prime factors of r.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 250747*a**2*r**3 - 48*a**2*r**2 - 231*a**2 - 3*a*r**2 - 59*a*r wrt r?\nAnswer: 1504482*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 2*o + 1 + 6*o - 3*o. Let s(z) = -z - 9. Let c be s(-11). Let k = 0 + c. Calculate q(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -4d15b3?\nAnswer: -4d15b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -23. Let w(t) be the second derivative of -5*t**4\/12 + t**3\/6 - t**2\/2 + t. Let l be w(1). What is the third smallest value in 2, l, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 829 + -423. Suppose 0*o - 615 = -3*o + 3*p, -q = -2*o + 4*p. What is the remainder when o is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 236. Suppose x + 39 = 4*v. Calculate the highest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - 64. Calculate the common denominator of 17\/2 and (-642)\/u*12\/8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*p - 90 = 0, 3*k - 2069 + 1004 + 960 = 3*p for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 83*z**2 - 87*z - 397. Let y be i(-82). Solve -2*a + 5*a + y = -4*b, -a = 3*b + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.9 + 134.1. Let o = -55900 + 55900. What is the biggest value in v, -2\/15, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22998134747 and -321.2?\nAnswer: 22998134425.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 31 - 14 = 0. Suppose -6*u + 8*u = 5*a + 43, 0 = -m*a - 5. What is the greatest common factor of u and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7050 + -7042.4. Let u be 2*(0 - 4)\/(-12). Sort 2\/5, m, u, 0.5.\nAnswer: 2\/5, 0.5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1671079 is divided by 139253?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3317289 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -124. Suppose 0 = -5*n + 20, -4*v = -2*n - s + 10. Solve w + 1 = -0*w, 2*z + w = -v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1 + -2 + 8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 102201 (base 3) to base 11\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 311\/329?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 5 = 0. Suppose 9*v - 17 = 1. Solve -g = -q - v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 2173995?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1697423935917 and -27.7.\nAnswer: 1697423935889.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142.48 + 135. What is w rounded to one dp?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2)*(-15)\/(-6). Suppose 0 = 4*a + a - n. Let k(f) = f**2 - 1. Let m(j) = j**3 - 6*j**2 - 2*j + 6. Give a*m(g) + 6*k(g).\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2827, -0.5, -3, 4\/5.\nAnswer: -3, -0.5, -0.2827, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (199 - 102 + 163)*(-b**2 + 0*b**2 - b**2) in the form q*b**2 + s + i*b and give q.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**4 + 4217146*o**2 + 2816*o + 8321?\nAnswer: -36*o**2 + 8434292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 1\/1080*p**6 + p**2 + 0 + 0*p - 1\/36*p**4 + 1\/360*p**5 + 1\/6*p**3. Let t(o) be the first derivative of m(o). Factor t(f).\nAnswer: (f - 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 l when three letters picked without replacement from {l: 3, w: 1, c: 1, u: 3, s: 2}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 457 + 1425 = 0. Let f = h - -243. What are the prime factors of f?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-334194)\/(-546) + 4\/(-52) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((504\/(-27))\/(-14))\/(12\/(-135))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12043255 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/304 and -4\/3374457?\nAnswer: 53991312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 11:21 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.0344945, -107 in increasing order.\nAnswer: -107, -0.0344945, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.65819 to two decimal places.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612905483, 1225810968, 1838716453, 2451621938, 3064527423, 3677432908?\nAnswer: 4290338393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1536, 3422, 5502, 7776, 10244, 12906?\nAnswer: 15762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1118, -3725, -10784, -24521, -47162, -80933, -128060, -190769?\nAnswer: -271286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x + 6. Suppose 4*w + 3*i - 82 = 0, x*i - 23 = w - 2*w. Calculate the remainder when 36 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = -7*h + 60 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 6*r + 4. Let l be m(-4). Let i = 30 - l. Let g(d) = d**2 - d**i + d**2. Give g(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {e: 9, j: 1, t: 1, o: 7}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 41*k + 148 = 35*k, 2*i = 3*i - 4*k + k - 38 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 1. Let d(w) = -9*w - 5. Give d(a) - 6*t(a).\nAnswer: -15*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135.882 + 136. Let a = r + 49.082. Let y = -55 + a. What is y rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 394 and 90?\nAnswer: 35460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {a: 5, d: 3, n: 8}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = -2. Let g = -9\/26 + 151\/286. Let x = 19 - 18.5. Which is the nearest to q? (a) -0.1 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2 (c) -1094 (d) 3\/8 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 284209877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20911260 and 1380?\nAnswer: 480958980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = 3. Let s = 5 + v. Calculate the greatest common factor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxkxxxk. Give prob of sequence kk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 1, o: 4}. What is prob of picking 1 b and 1 o?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a hour in seconds?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/140*(-6)\/8)\/(23 - 4488\/195)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 18 = -g. Let p(v) = -v**2 - v + 7. Let m be p(0). Let s = m - 5. Solve -s*n - g = 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 times 0.043?\nAnswer: 48.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - 11*o**4 - o**4 + (2*o**4 - o**4 + 7*o**4)*(1 - 5 + 5).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -340, 5, 4 in increasing order.\nAnswer: -340, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 835 divided by -5.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127622 is divided by 473.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -7334\nAnswer: -7337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1427.2422332 to one dp.\nAnswer: -1427.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n - 4. Let a be w(8). Let z be ((-2)\/(-6))\/(a\/(-96)). Let h be (35\/z - 4)*2. Is h greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 13. Suppose 3*c - 617 = -4*m, 3*c - 4*c + 3 = j. Suppose n = -n + m. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -5*u**8\/56 + 23*u**7\/42 - 35*u**4\/6 - u**2\/2 - 22*u + 26. What is the third derivative of o(r) wrt r?\nAnswer: -600*r**3 + 1380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1392 and 696.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.67584795 to two decimal places.\nAnswer: -32.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-22) - 4\/(-1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5938844 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -1338?\nAnswer: -1338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 1187068 = -h - 1186999, 2*y = 2*h - 58 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -12*z + 8. Solve 4 = 4*g - z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = -186*y - 421 + 186 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382699739.\nAnswer: 6089, 62851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50325 + 1?\nAnswer: 50326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {k: 1, i: 6, z: 3, q: 1, u: 3, y: 6}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 6*h + 7. Let r be o(14). Suppose 0 = 4*q + r - 335. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1396 + 141004\/101. Let z = -2198\/303 - j. Find the common denominator of ((-2)\/(-4))\/((-7)\/90) and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -414 - -1352. Calculate the greatest common divisor of b and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s. Let x(a) = -4*a**2 + 3*a - 3. Let h(f) = 7*f**2 - 5*f + 5. Let v(l) = -3*h(l) - 5*x(l). Give v(o(z)).\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 287 + -198. List the prime factors of u.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s = -38*s. Let p(x) be the third derivative of 1\/60*x**5 + 0*x**3 + 0*x + 0*x**4 - x**2 + s. Let r(u) = -12*u. Give p(r(h)).\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -n + 4*t, 5*t + 41 = 5*n + t. Suppose 2*v + 0*v = -n*w - 10, 7 = -v - 3*w. Solve f = -k, 4*f + 8 = f - v*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-1)\/(-45))\/(70\/9345*89)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2137 + -2115. What is the nearest to -1\/2 in 3\/2, f, -2\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 - 1976466*d - 1976465*d + 2 + 2*d**2 - 2 + 3952931*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*h - 86 = 6*h, -155 = -5*x + h. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*h + 69*h - 8, 54314 = 4*a + 3*h. List the prime factors of a.\nAnswer: 2, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to -65\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.337 and 382.\nAnswer: -128.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 547853641 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l. Let s(q) = -10*q + 81. Let m be s(8). Let w(p) = -p**2 + p - 1. Let k(n) = 11*n**2 + 5*n + 6. Let r(v) = m*k(v) + 6*w(v). Calculate r(i(z)).\nAnswer: 20*z**2 + 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {d: 2, s: 2, e: 2, k: 1, f: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let h be p(5). Let c = 7 + h. Is (-1)\/(-1) - (-18)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-213 - 11*p + 213) + (-3*p - 2*p + 3*p)*(-1 + 0 + 3).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w + 1. Let j be d(-3). Let f = j - 4. Let o = 37 + f. 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 665 minutes before 12:30 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 87\/4 of a millimeter?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.72780451 - 1.\nAnswer: 20.72780451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63041 is divided by 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-112)*(42\/(-38))\/(-3).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139.1 + 156. Let l = 136.9 - p. Let o = -121.26 + l. Round o to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60 - (-11 + -38)) + -75?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*v = -2, 0*v - 7 = -y - 2*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96292 or -96290?\nAnswer: -96292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0*v**2 - 11*v + 1\/12*v**4 + 0 + 0*v**3. Let i(q) be the third derivative of -7*q**4\/24 - 2*q**2. Give i(u(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28979.9976 - 29127. Let v = 147 + g. What is v rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -829107 = -5*d - 206*v + 204*v, 497464 = 3*d + v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/16*20\/3. Let f(n) = -2*n + 3. Let p be f(-5). Let y = p - j. Which is the nearest to -2? (a) 1 (b) 3\/8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpwqpqwpwppwp. What is prob of picking 1 q and 1 w?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 150502.315 rounded to the nearest ten?\nAnswer: 150500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-27)*j\/j**(15\/4) assuming j is positive.\nAnswer: j**(-119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11777?\nAnswer: 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.809 and -2.\nAnswer: 1.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-133452)\/(-220) + 6\/(-10). Let p = d + -589. Calculate the remainder when 27 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.8955280611 + -2.\nAnswer: 5.8955280611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -6*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 49, 2, 1\/4, 2\/7, 523 in descending order.\nAnswer: 523, 49, 2, 2\/7, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 28585662.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = d + 446, d - 1856 = 5*d - 4*y. Let b = d - -908. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -2*g**3\/3 - 10*g**2 - 50*g + 18. Solve i(y) = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 18*d**2 - 4 + 28*d**3 + 5*d - 14*d**2 - 29*d**3. What is the remainder when 31 is divided by b(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3969.1768 - 3974. What is b rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6676014450 to the nearest 1000000.\nAnswer: 6676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016 - 2447 = -71*a + 1338. Calculate the remainder when 1396 is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 704 - 716.32. Let t = -6.718 - u. Let v = t - 0.002. Round v to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -18. Suppose -3*k + 4*p - 23 = v, -k - 6 = -0*k - p. Is k greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2181, -4411, -6641, -8871?\nAnswer: -11101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*k**2 + 4962*k - 4962*k)*(-2*k + 2*k - 2*k**2).\nAnswer: 96*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a - 3. Let g(t) be the first derivative of t**2 + 1445. Determine g(k(p)).\nAnswer: -14*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336 and 3104?\nAnswer: 65184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 7\/5, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 1, x: 1, u: 5}. What is prob of picking 2 u and 1 i?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8368105?\nAnswer: 5, 37, 45233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12505112 (base 6) to base 8.\nAnswer: -1447104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2365 - -0.236502742. Round m to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 16, x: 4}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + x - 1. Let u be h(1). Let r = u + -3. Is r*(-2 - 111\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18251.36 - -17996. What is v rounded to the nearest integer?\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)*(-1 - -2). Let v(l) be the third derivative of 0*l + l**2 + 0 + 0*l**3 + 7\/60*l**5 - 1\/24*l**4. Calculate v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -18*b - 104. Let u be s(-6). Let o = 1 - 4. Sort 0, o, u in increasing order.\nAnswer: o, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 4. Let w(d) be the third derivative of d**5\/60 - d**4\/8 + 3*d**3\/2 + d**2. Give 5*q(z) - 2*w(z).\nAnswer: -2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.3, 0.2, -1612, 9, -0.5 in descending order.\nAnswer: 9, 1\/2, 0.2, -0.3, -0.5, -1612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -255*v**2 + 34*v + 136. Let u(c) = c + 4. What is j(w) - 34*u(w)?\nAnswer: -255*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (91 - 51)) + -34.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqbppppf. What is prob of sequence fpt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from smo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p)\/((p*p*p**27*p)\/p)*(p**(-3)*p)\/(p\/(p\/(p\/(p*p**(5\/2)\/p)))) assuming p is positive.\nAnswer: p**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70726096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5718*m**3*r**3*z + 2564303*m**3*r**2 + 363*m**3*r*z - 2*m**2*r**3 with respect to z.\nAnswer: 5718*m**3*r**3 + 363*m**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = 5*y, x + 0*x = -2*y + 8. Suppose r - 2 = 0, 2*j = y*r + r + 154. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237206062 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*z**5 + 3100*z**4 + 31936*z**3 + 138480*z**2 + 220928*z + 97280 = 0. Calculate z.\nAnswer: -10, -8, -2, -19\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 12*g**2 + 17*g - 6. Let o be j(9). Let v = o + 187. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4) + 0)\/(79\/2528). Let a(q) = q**3 + 2*q**2 + 19*q - 3. Is a(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14292 - 14165. Calculate the remainder when 263 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -r - 2*l + 326, 0 = 2*r - 4*l - 622. What is the remainder when r is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13 - 13 + 26 - x**2. Let r(k) = -2*k**2. Give r(h(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*o**3 - 22933325*o - 378706802.\nAnswer: 18*o**2 - 22933325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 - 3*v + 3. Let a = -5 + 0. List the prime factors of t(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((140\/(-8))\/7)\/(54\/108)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*v - 320*v + 19745 = -59*v for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -381.5.\nAnswer: 378.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**5\/30 + 13*b**4\/12 - 13*b**3\/3 - 14*b**2. Let r be l(-14). Solve 4*f - 4*d = -r*d + 8, 5*f + 2*d - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let x(m) = 3394327*m. Calculate h(x(l)).\nAnswer: -3394327*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001071 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**2 - 5*w - 3. Let s be a(4). Calculate the remainder when 0 + (38 + s - 0) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 40\/9, 0.03, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 9:39 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*t - 6, 0 = -5*h + 4*t + 2 - 17. Let z be 5 + -4 - (-1)\/h. Factor -4\/3*r - 2\/3 - z*r**2.\nAnswer: -2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5619 + 5*t + 5619.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9930302 to the power of 1\/2, to the nearest integer?\nAnswer: 3151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.177 - -0.077. Let h = 0.4 + 0.1. Let z = -0.1 + h. What is the third biggest value in z, 2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 359072?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/57)\/(-19 - 13779\/(-729)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r - 15. Let b(y) = 5*y**2 - y + 1. Let x(i) = -70*i**2 - 5*i - 3. Let s(k) = -2*b(k) - x(k). Is s(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l + 5372 + 2818. Does 126 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139420 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/560)\/(6\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2261 - 1325. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -1398?\nAnswer: -27.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -452*r**3\/7 - 468*r**2\/7 + 888*r\/7 + 32\/7 = 0. Calculate r.\nAnswer: -2, -4\/113, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**7\/189 + s**6\/3 - 67*s**5\/10 + 2255*s**4\/54 + 968*s**3\/9 + 1133*s - 2. Find c, given that r(c) = 0.\nAnswer: -1, 0, 11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/(195\/(-2920))*12\/(-8). Let h = g - -877. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563 smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.569025253 to 3 dps.\nAnswer: -2.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -6)\/((-45)\/(-30)). Suppose -4*f = -4*g + 20, -b*g = -3*g - 5. Suppose 5*d - 10*d + 20 = f. Solve -y = -d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*s*z + 8*f**3*z**2 + 2*f**3 - 2*f**2*s*z - 5*f**2*z**2 + 2*s wrt f.\nAnswer: -12*s*z + 48*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6205346 to the nearest integer?\nAnswer: 2491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 387 + -366. What is the lowest common multiple of q and 46?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039996332 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (142*f**2 - 4*f**3 - 11467730*f + 11467730*f)*(2 - 3 + 3) + 0 + 3*f**3 + 1 - 2*f**3 in the form k + h*f**3 + d*f**2 + o*f and give d.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 5*x + 22, 0 = -7*t + 4*x - 25 - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29456340 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1 + 0 + 8*n - 3*n**2 - 4*n + 2*n**2. Let h be w(3). Determine i so that 2\/5*i**h + 0 + 4\/5*i = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.67 + -1.2136. Round z to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122*o**2 - o + 133?\nAnswer: -244*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/16 and -31\/4722.\nAnswer: 37776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(567)*-2)\/(sqrt(45)\/(2*sqrt(5)*-1)))**2 + 4.\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1053 and -101\/16024320.\nAnswer: 144218880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4*x**2 - 12*p**3*x**3 + 77*p**2*x**2 - 2*x**3 wrt p?\nAnswer: -48*p*x**2 - 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0. Let q = -241.3 - -245. Put -5, q, n in increasing order.\nAnswer: -5, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -3 (b) -23 (c) -0.2 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -176 + 171. Put a, 1\/3, 2\/3, 5 in ascending order.\nAnswer: a, 1\/3, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + w - 30 + 105, 5*q + 2*w - 368 = 0. Suppose -q - 14 = -4*u. What is the greatest common factor of 198 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10729 or 10470?\nAnswer: 10470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -428 - -791. Calculate the remainder when f is divided by 55.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6*k - 8 = 0. What is the third derivative of -k*l**2 + 4*l**4 + 3*l**5 - 4*l**4 + 2*l**2 wrt l?\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929 = 2*c + 4*g - 1005, 2873 = 3*c + 2*g. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*q + 217, -2*q + 362 + 30 = 2*t. What is the remainder when 559 is divided by t?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h*h**(3\/11)*h*h*h)\/h*h)*h*h*h)\/(h*h*(h\/h**(-21)*h)\/h*h*h)*h\/h**(24\/13)*h*h**(-17) assuming h is positive.\nAnswer: h**(-6023\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -60, -54, -46, -36, -24, -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/60 - 7*k**4\/24 - k**3\/3 - 5*k**2\/2 + 2*k. Let c(i) be the first derivative of h(i). Determine c(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12342*i**2 + 47*i. Does 152 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(133)*-3*-1)\/((sqrt(7) + sqrt(7) + -1*sqrt(7))*-1))**2.\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -14. Let q(y) be the first derivative of 3*y**2\/2 - 7*y + 1. Is q(o) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147493536 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117 or 1747?\nAnswer: 1747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - j**3 + 4*j**2 - 3*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69809*s - 69809*s + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221268 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -97?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -454, -1008, -1774, -2746, -3918, -5284, -6838?\nAnswer: -8574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.222957 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -55*s**2. Let g(c) = 5*c**2 + 33*c + 11. Let p(v) = -v**2 - 6*v - 2. Let h(a) = 4*g(a) + 22*p(a). What is h(r(n))?\nAnswer: -6050*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 744 + 99. Let o be (3 - -1468) + 1 + 2. Let x = o - b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 3*l**2 + 3*l**2 - 6 - l**2 - 9*l. Determine b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 8) in base 10?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90416, 358593, 805554, 1431299?\n\"Answer: 89392*c**2 + c + 1023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 2*d**2 - 2*d + 3. Calculate n(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 - 1) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*w = -30, 18*r + 2*w + 3 = 17*r. Solve -3*j - g = -4*j + 2, r*j + 4*g + 15 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 18. Let a(q) = q**3 - 10*q**2 + 13. Let m be a(10). Is g(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0)*(60\/(-27) - 536\/(-201))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3597 + -3594. Which is the nearest to 159? (a) x (b) 2\/9 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:28 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/9516 and -123\/6740.\nAnswer: 16034460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 3.3\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 - 112. Suppose -m = -0*m - p. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f = 80. Let j = f + 9. Round j to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 + 0 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Suppose a = -3*r + 15, -y + r = -51. Let i(w) = w**2 - 2*w + 2. Let g be i(3). Calculate the greatest common factor of g and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3\/9 + 17*n**2\/6 + 384. Find j such that s(j) = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*l**6 + 186*f*l**3 - 4582*f*l**2 wrt l.\nAnswer: 120*f*l**3 + 1116*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 8, i: 9}. What is prob of sequence mm?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + 12*y + 8. Let q be x(-4). Let w be (-34)\/(-9) + 6\/27. What is the highest common divisor of w and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (32815\/(-15) - 1)*-3.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2.45, 125596 in descending order.\nAnswer: 125596, 3, -2.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from llwfwa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2859558 is divided by 1885?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001 (base 2) to base 3.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -372, -303, -132, 189, 708, 1473, 2532?\n\"Answer: 8*l**3 + 3*l**2 + 4*l - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)\/(sqrt(1296)\/sqrt(2)))\/(sqrt(180)*1 + sqrt(5) - (1*sqrt(20))\/sqrt(4)))**2 + 5.\nAnswer: 14591\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*x + 2 = -193*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/12*3)\/(6\/(-8)). Suppose 5*k - 3*i + 6 = h*k, -5*k - 2*i = 3. Is k > -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6326 - -6336. Which is the biggest value? (a) i (b) 5 (c) -20 (d) -3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 12*p**2 + 21*p + 154. What is the tens digit of u(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 1920*x + 307200.\nAnswer: 3*(x - 320)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 6*u**2 - 1. Let i be n(-6). Suppose 4*m + 0*d - 3*d + 6 = 0, -3*m = 4*d + 17. Which is the smallest value? (a) m (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7634861747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2335, -4381, -7791, -12565, -18703?\n\"Answer: -682*n**2 - 1653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 8011*v**3 - 16048035*v**2 + 16040025*v.\nAnswer: -v*(v - 4005)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 141.00000239. Round h to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0245 (b) 74\/3 (c) 1.41 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 9) to base 7\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-10)\/((((p*(p\/(((((p*p*p*p**(-12)\/p)\/p)\/p)\/p)\/p))\/p*p)\/p)\/p*p*p)\/p*p))\/(p**(-1)*p**(-12\/5)))**(-34) assuming p is positive.\nAnswer: p**(3842\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979946 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -24. Let j = -7 + 3. Let d = j - -4.6. Which is the nearest to d? (a) -4 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + 4*h**2 - 5*h + 7. Let p be k(4). Let u = p - -30. Let v = u - -78. Round v to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 9 + 1 + 1 - (44 + -24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28494125?\nAnswer: 5, 11, 17, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-737)\/(-18) + -2. Let y = t + -6299\/180. Calculate the common denominator of 7\/1 + (-4)\/16 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, and 1 z when three letters picked without replacement from hnabanbnhnannhhnzo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, g: 3, c: 2}. Give prob of picking 2 g, 1 r, and 1 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/5, 3, 5, 2, -0.166, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.5 (b) -320 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489359?\nAnswer: 3, 496453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -m + 20. Let a = m - -35. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 19*d + 32. Determine y(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, 1, -1\/6, 13 in increasing order.\nAnswer: -114, -1\/6, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -0.4 (c) 12 (d) -4.1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 216\/72 + 1 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5))**39*v**(1\/13)*(v**11\/v)\/v assuming v is positive.\nAnswer: v**(-2417\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*h**2 + 4*h - 24\/5.\nAnswer: -4*(h - 3)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w - 4. Let a(f) = -10*f - 7. Suppose 0 = p - 5 + 1. Let t(i) = p*a(i) - 7*g(i). Let y(q) = -q**2. Give t(y(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22651464 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52.8624 + 0.0624. Let x = -79 - j. Let l = x + 26. Is l bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2827 or 2817?\nAnswer: 2827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -4, -3258.\nAnswer: -3258, -47, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -961*u**4\/2 - 1246*u**3 + u**2\/2 + 5846. Find the third derivative of z(n) wrt n.\nAnswer: -11532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10588\/227 less than -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*g = -137, 5*j - g = 3*j + 107. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01038 and -176254.6.\nAnswer: -176254.58962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -6954?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/4 + 14*f**3\/3 + 18*f**2 + 12*f + 2. Let q be y(16). Calculate the highest common factor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*r + 13 + 14 = -26 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + -2.17. Let h = -0.2 - d. Let n = h + -2.2. Which is the third biggest value? (a) -0.3 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c - 10. Let r(y) = -2*y**2 + 4*y**2 - 3*y**c + 0*y**2 - 2. Let k(j) = 5*j**2 + 11. Give 2*k(o) + 11*r(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**2 + 1907*r - 54772 with respect to r.\nAnswer: 6*r + 1907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4938\/5 - 986. Factor 2*q + 2\/5*q**2 + g.\nAnswer: 2*(q + 1)*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + 12?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*2 + 45\/(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9536?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*m - 105*m + 52*m)*(3 + m - 4 - 1).\nAnswer: 12*m**2 - 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316 + -5?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*q*w + 137*q - 42*w - 17 with respect to w.\nAnswer: -20*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + 27. Let j = i + -74. Let v = 5 - 1. Which is the second smallest value? (a) v (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-4)*40\/14. Suppose -2*h + i = 2. Let z(y) be the third derivative of -y**4\/24 + y**3\/3 + y**2. Determine z(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}