diff --git "a/data/dm_maths/full_data_2/11156_11255.jsonl" "b/data/dm_maths/full_data_2/11156_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11156_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d = 1 + 2. Suppose 0 = -3*t + 12*t + 9. Sort -4, d, t in increasing order.\nAnswer: -4, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*t + 30. Let l(n) = -n**3 + 6*n**2 - 2*n. Let m be l(t). Put m, 1, -2, 5 in increasing order.\nAnswer: m, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 3*o + 3. Let l(f) = 6*f + 22. Suppose -x - 4*q + 2*q + 6 = 0, -3*q = 5*x + 5. Let d be l(x). What is u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 divided by 3613?\nAnswer: -253\/3613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1200\/(-840))\/((-21)\/(-1176)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9 - 4)*(5*f**3 - f**5 - 5*f**3) + (918*f + 38*f**2 - 918*f)*(-f**3 + 0*f**3 + 2*f**3).\nAnswer: 33*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-1 - (0 - 4)). Let j(k) = -3*k**2 - 6*k**2 + l*k**2 - 2*k**2. Let y(p) = -2*p**2. What is y(j(i))?\nAnswer: -98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 3. Let p(h) = -h**2 - 14*h + 38. Let f be p(-18). Let k = f + 38. Determine c(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 5*i - 45. Let b(q) = -10*q**2 - 16*q + 140. Let h(n) = 5*b(n) + 16*r(n). Let o(m) = 2*m**2. Determine o(h(y)).\nAnswer: 8*y**4 + 160*y**2 + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > 3543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 571486880 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*d = -1 + 5, 0 = d + 1. Let m be u\/(-12)*8\/(-106). Is m >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 571 - 567. Suppose -i*d + 3 = -33. Calculate the remainder when 26 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + (0 + -6 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 5, d: 13}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 21*d + 21*d = 38*d - 2, -12 = -9*n + 9*d + 33 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 4902?\nAnswer: 9804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2294*t**3 + 65*t**2 - 1841. Let w(g) = 1148*g**3 - 30*g**2 + 920. Let o(a) = 6*d(a) + 13*w(a). Differentiate o(k) wrt k.\nAnswer: 3480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 361*h**4 - 272 wrt h.\nAnswer: 1444*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, p: 3, q: 4}. What is prob of sequence qpmp?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110602903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/27640 and 73\/1422?\nAnswer: 19652040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 3. List the prime factors of 10*v\/((-8)\/(-84)).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69809, 69853, 69973, 70205, 70585, 71149, 71933?\nAnswer: 72973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17278.15 centuries in decades?\nAnswer: 172781.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 8 = -3*t + 1, -u + 3*t + 3 = -11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 34 = 40 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 6*j. Suppose 13 - 7 = 3*r. Let q be 320\/(-16)*(-1)\/r. Let g = -15 + q. What is h(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 2*q**3 - q**3 + (-2 + 10 + 1)*(-q**3 + 65*q**2 - 74*q**2 + 0*q**3).\nAnswer: -8*q**3 - 81*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863 = -20*a - 238*a - 863 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 34, 5, -37 in ascending order.\nAnswer: -37, -1, 3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -1\/4 (c) -3\/4 (d) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674208?\nAnswer: 2, 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -55\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*(5 + (sqrt(847) + 0)**2 - 2*(1 + sqrt(847) + sqrt(847))).\nAnswer: -792*sqrt(7) + 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 2*j + 7. Let p(v) = -1. Let h(i) = -1. Let d(y) = 3*h(y) - 4*p(y). Let g(k) = 5*d(k) - q(k). What is the units digit of g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 305 = 2*i - 966, 3*f - 1920 = -3*i. What is the remainder when i is divided by 207?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011000011111010 (base 2) to base 7\nAnswer: -641104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079989 rounded to 3 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3390924 to the nearest integer?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1)**(-17\/5)*n**4*n**(-1\/6)*n)\/((n**(-2)*n)\/(n\/((n**4\/n)\/n*n)))**(23\/4) assuming n is positive.\nAnswer: n**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 48 + 200 + -203 - 196?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**4 - 2*x**4 + 0*x**4 + (1 - 1 + 2*x**2)*(-8 + 8 + 3*x**2) to the form m*x**2 + s*x**3 + z + y*x**4 + f*x and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336071527 to the power of 1\/3, to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 96*f - 825. Let m be k(8). Let n = -5 + 0. Sort m, 3, n in decreasing order.\nAnswer: m, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/1663 in 374, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j + j + 0*j. Let z(w) = 9*w. Let i(o) = 5*h(o) - 4*z(o). Let a(c) = -2*c**2. Calculate a(i(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2448) + -1 - sqrt(2448)) - (1 + (sqrt(2448) - -2*sqrt(2448))))**2 - (-2 + sqrt(17)*-4 - (-2 + (sqrt(17) + 4 - sqrt(17)))**2).\nAnswer: 148*sqrt(17) + 22042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-228)\/(-513))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18878c - 3?\nAnswer: 188789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 12. Suppose -27 = 3*k + 3*r, -k - 15 = 5*r - 2. List the prime factors of p(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320032?\nAnswer: 2, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-152)*17\/(26010\/144)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515653?\nAnswer: 173, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 10*q**2 + 4*q + 42. Let r be a(-10). Let m = 11 - 8. What is the second smallest value in m, -3, r, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r + 31000. Let n(t) = -3*t - 3. Let s be n(-1). Suppose -21*y + 18*y = s. Let d be a(y). Round d to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 33228.36ml?\nAnswer: 33.22836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003933 to 4 decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p - 3. Solve -p*x - 1 = 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -939637 - -1?\nAnswer: -939636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559800?\nAnswer: 2, 5, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3981 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) -2 (c) -1537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 42\/34)*(-24792)\/16528\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60293, -59813, -59347, -58901, -58481?\nAnswer: -58093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 + 3202005?\nAnswer: 3202360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 40 = -4*n + 4*x, -2*n - 3*x = 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 60. Calculate the highest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-220)\/(-1265))\/((-2220)\/690)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018852468696 rounded to 5 decimal places?\nAnswer: 0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36347, -36405, -36463, -36521, -36579?\nAnswer: -36637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3105*g**2 - 19132*g**2 - 3*g - 7435*g**2 - 7358*g**2.\nAnswer: -30820*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let q(p) = -62*p - 8 + 8 + 23*p. Determine q(r(u)).\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/3 - 3*y**4 - 19*y**3\/3 - y**2 + 20*y\/3 + 4 = 0.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000131008704 rounded to 7 decimal places?\nAnswer: -0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) - 3*(-10)\/90?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**3 - n**2 - 5 - n**2 + 3*n - 12*n. Is o(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 5, -1, -143\/75?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 g when three letters picked without replacement from {r: 1, g: 2, w: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53*f**2 + 46.\nAnswer: 106*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10820*c = 11071*c + 10542 for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.052905 - -0.053. Round m to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.2, -2.1, -2, 32\/5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -659 + 4617\/7. Factor -4\/7*p**4 + a*p**2 - 2\/7*p + 0*p**3 + 0 + 2\/7*p**5.\nAnswer: 2*p*(p - 1)**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x + 6*x - 3*x + 2*x**2. Let i be l(-4). Let a be 9\/(-12) + (-2)\/i. Let y(c) = c**2 - c - 1. What is y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000000010010 (base 2) in base 3?\nAnswer: 211111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*p + 255 + 73*p**2 + 5*p**3 - 201*p - 100*p - 8*p**2.\nAnswer: 5*(p - 3)*(p - 1)*(p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -52*x + 22. Let h be p(9). Let f = 461 + h. Calculate the remainder when 254 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*d**2 - 102*d**2 - 535*d**2 - 337*d**2 - 86*d**2.\nAnswer: -1003*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/7 + 30*x**3 - 2475*x**2\/7 - 6000*x - 120000\/7 = 0.\nAnswer: -5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8239 + 1?\nAnswer: -8238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Let a be (-2)\/2*5 - -130. Let v = 130 - a. Solve 3*c + 5*z = -5, 4*c - 4*z + 1 - v = f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/9 + (2 - 2). Which is the nearest to 1\/5? (a) -1 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 11. Suppose 2*c = 7*c. Suppose -4*g - p + 20 = c, 0 = -2*g - 3*p + 5 + 5. Let i(q) = -q + 5. Determine g*i(l) + 2*o(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25928?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2187 + -21811\/10. Let t = -9046\/1695 + 2\/565. Find the common denominator of t and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z**2 + 12. Let g(o) = -o**2 + 1. Let j(i) = -12*g(i) + s(i). Let n = -54 - -57. Let q(b) = b - 3*b + n*b - 2*b. What is q(j(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*o + 147*o - 400*o + 152*o + 110*o - 69*o.\nAnswer: 79*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.2 + 0.8. Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:25 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-879172)\/28)\/(-5 + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 - 88*n**2 - 61*n + 23. What is d(30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10554192 to the nearest one hundred thousand.\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(8 - (4 + 1)))\/(-4). Which is bigger: c or 535?\nAnswer: 535","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 12*u**2 + 13*u - 14. Let l be g(-13). Let m(s) = -s**3 - 14*s**2 - 3*s + 7. What are the prime factors of m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - b = -3*b, 3*b = l. Let p(w) = w**3 - 9*w**2 + 4*w - 12. Let s be p(9). Suppose l = 2*c - 108 + s. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (5 - -12) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2 - 3*u - 2. Let n(l) = -l**3 - l**2 + 3*l + 2. Let y(q) = 5*n(q) + 4*s(q). Let f be y(-2). Solve -2*k - 5*w = 33, 5*w + f = 5*k - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v**2*x**3 - 12015*v**2 + x**3 + 112*x + 2 wrt v?\nAnswer: 2*v*x**3 - 24030*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 + -2.11. Let c = -0.04 + 0.14. Let b be (-6)\/(-4)*(1 - 9\/6). What is the closest to c in t, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10884, 11558, 13394, 16974, 22880, 31694, 43998?\n\"Answer: 97*p**3 - p**2 - 2*p + 10790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3683 divided by -36470\nAnswer: -3683\/36470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1116513*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 89*g - 9. Let o be t(-2). Let d = o + 188. Let m(a) = 26*a**2 - a + 1. What is m(d)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10931*n + 5648*n - 865*n - 120 + 6701*n.\nAnswer: 22415*n - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/2 in 2\/13, -5, -2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.9 + 146.9. Let a = -0.1080461475 + 134.1080127475. Let d = x - a. Round d to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.443367 + -0.49502. Round w to 3 dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/77 + 5\/(350\/(-390))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 32 = -4*v. Let a = v + -11. Calculate the remainder when a is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p. Let m(w) = 2*w. Let f(h) = 7*m(h) - 2*t(h). Let z(i) = -2*i. Give f(z(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kllkklllkll. Give prob of picking 2 l.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/24 and -137\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6. Let t(f) be the third derivative of -f**4\/24 - 17*f**3 + 3*f**2. Let u(x) = -6*t(x) + 102*z(x). Let c(s) = 2*s. Give c(u(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -85, -198, -367, -598?\n\"Answer: -h**3 - 19*h**2 + h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001732261 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2172446 (base 9) in base 14?\nAnswer: -2263aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 1)*((-4 + 1 + 1)*(4 - 4 + 2*y**2) - y**2 + 0*y**2 + 4*y**2 + 7*y**2 + 8*y**2 + 9*y**2).\nAnswer: -92*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**2\/2 - 6*o - 14. Let k be j(-8). Let c be k\/15 + 754\/195. Solve -c*v - v - 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.789346ms in nanoseconds?\nAnswer: 9789346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5699*d**4 + 11401*d**4 + d**2 - 5702*d**4 + 1200*d**5 - 797*d wrt d.\nAnswer: 72000*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a millennium?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 12*b = -13*p - 16*b + 15, -5*p + 4*p + 6 = b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285855762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 99511444 and 1.3?\nAnswer: 129364877.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11)\/(t**5\/t))**(14\/5) assuming t is positive.\nAnswer: t**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.9294ml to litres.\nAnswer: 0.1599294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304247 and 26725697.\nAnswer: 16013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from pbppvppbpbpbvpbppb?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/3 and 77\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11.64 times -12430\nAnswer: 144685.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65907532.\nAnswer: 2, 197, 83639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-5 + (3 - (-7 + -7) - 1)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -616 - -1235\/2. What is the closest to 0 in 2, -35\/2, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3 and -74\/124527.\nAnswer: 124527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 52. Put 0, s, -5, 1 in descending order.\nAnswer: s, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 27.4. Let h = -2.53 + s. Let x = h - 3.87. Which is the biggest value? (a) x (b) -2\/23 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12774771 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 20.13713 centuries?\nAnswer: 2013.713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/7 - 18*a**2\/7 - 8*a\/7 + 24\/7.\nAnswer: 2*(a - 3)*(a - 1)*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 - 43*x**2\/3 - 520*x\/3 - 400.\nAnswer: -(x + 3)*(x + 20)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 4555*a**3 - 1377075*a**2 + 136281625*a + 567452500.\nAnswer: -5*(a - 305)**3*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724785.\nAnswer: 3, 5, 211, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -513987\/5 and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79593 and 53062?\nAnswer: 159186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -193288 + 14*r + 193288. Let i(c) = -4*c. Calculate i(u(l)).\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -116. Calculate the remainder when d is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6656 or -6640?\nAnswer: -6640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2264*m + 3978*m - 2108*m.\nAnswer: -394*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 2 p when four letters picked without replacement from {e: 7, p: 3, d: 2, z: 5}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 minus 6415301.72139?\nAnswer: -6415496.72139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77477997?\nAnswer: 3, 53, 487283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:26 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 2:08 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Let q = 58 + -61. Let p = 1.3 - 0.3. Which is the closest to -1\/4? (a) l (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**7\/525 + 19*d**6\/100 + 59*d**5\/150 - 19*d**4\/20 - 58*d**3\/15 - 428*d**2. Suppose p(v) = 0. What is v?\nAnswer: -1, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:26 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 + (-16 - -11) + 1 + -6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, 4, 11.\nAnswer: 3, 4, 11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let m be l(-6). Let u(d) = d + 1. Let k(t) = -5*t - 9. Let r(n) = -k(n) - 4*u(n). Let j be r(m). Is -7 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - i + 1. Let h be l(1). Let d = 23 + -13. Suppose -h*r + r = -d. Solve -13 = -r*p - 2*x, x - 5*x + 16 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 1. Let u be r(5). Let c = 8 + u. Suppose -3*a = c*a - 60. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010010101000010011100 + -11?\nAnswer: 1000010010101000010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**5 + 42*c**4 - 189*c**3 - 470*c**2 + 1341*c - 725. Let m(k) = k**5 - k**3 - 2*k**2 - k + 1. Let h(u) = -m(u) + v(u). Determine r so that h(r) = 0.\nAnswer: -3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*x + 3*b + 20, 3*b + 49 = 2*x. Suppose -x + 17 = -3*l. Suppose 2*a + h = 152, l*a + h = 6*h + 304. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -1.56. Let x = 0.04 - z. Which is the third biggest value? (a) 2\/3 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*u + 93*v - 95*v, -v = -2*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/4)*p)**(-40)\/(p**(13\/5)\/p**34))**24 assuming p is positive.\nAnswer: p**(-4632\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 4*z + 0*z - 4*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0058733 to 4 decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393165524?\nAnswer: 2, 1613, 60937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*u + 19, 19*m + 14 = 20*m - 3*u. Let d(n) = 33*n - 175. Determine d(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5 + 27*d**4 - 51*d**3 + 25*d**2 = 0.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - 60. Suppose p - 320 = 5*p. Let s = p - y. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5064.6313 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15306 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3200 = 2*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(12444\/(-2135))*9\/(-42)*(-28)\/(-3).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.001 - -8.361. Let i = b + -8. Let h = -0.3654 + i. What is h rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -32, 5*m + 11*u - 11576 = 90147. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**3\/6 + 4*q**2 + 2*q + 3. Let o be v(2). Suppose 0*x = -o*x + 1524. What are the prime factors of x?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4393909 and 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -43. Let z = a - 54. Let c be 1*(z + -4)*2\/22. Sort 3\/4, c, 1, 3 in ascending order.\nAnswer: c, 3\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396 by -11.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + 6)\/(-6) + 14. Suppose 18*l - q*l - 25782 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggiggggigiggigggii. Give prob of picking 4 g.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*a + 14*a + 96*a + 96*a - 13*a - 39 wrt a.\nAnswer: 227","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -30. Let h(t) = t**3 + 10*t**2 + 2*t + 6. Let n be h(l). Let s = 167 - n. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 12\/17, -12759, -0.1, -4\/5, -1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.046 - -0.046. Put k, 2\/7, -3\/4 in increasing order.\nAnswer: k, -3\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 311 + 284. Suppose 2 = 4*p - 6. Suppose p*h - c = -3*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/495 - 2\/11. What is the nearest to -1 in b, 2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 390\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3\/3 - 5*w**2\/2 + 5*w + 67. Determine j(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3042\/1690*(4055 + (1 - 1))?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*s*v**3 + 16443*s + 13*v**4 + 3*v wrt v.\nAnswer: 21*s*v**2 + 52*v**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + 1 + (sqrt(7) - (-2 + 1*sqrt(7)))**2 - sqrt(49)\/(sqrt(567) - 1*sqrt(567) - sqrt(567)).\nAnswer: 5 + 28*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*k + 4*p - 9*p, 2*k + 2*p = 12. Suppose -4*a = -3*o + 5, 4*o - 5*a - 4 = -a. Sort -5, o, k in ascending order.\nAnswer: -5, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (0 + 0 + 0). Let q = 26 - 15. Suppose 4*y + b = 8, b + 0*b - q = -5*y. Solve 0 = f*c + y*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**2 - 6. Let a(u) = -6*u**2 - 5. Let v(m) = -5*a(m) + 4*f(m). Let r(w) be the first derivative of v(w). Let q(t) = -2*t. Give r(q(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*d + 40 = 0, 4 = -t - 9406*d + 9409*d for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.016642 - 36.017362. Let j = i - -36. What is j rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -13029552?\nAnswer: 1\/4343184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*((-8)\/40 - -1). What is the highest common divisor of b and 1408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 11:24 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4774 and 338800.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16)*5)\/(4878\/29268).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -g. Suppose -g*u = 0, -5*s - 2*u + 20 = -4*s. Let y(l) = l**2 + 7*l - 8. Let h be y(-8). Solve h = -5*f + 2*k - s, f + 29 = -f + 5*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -346 - -689. Is 344 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -381.4 + 347. Let w = -32.87 - n. What is w rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide (-88)\/((4\/6)\/(-1))*(-18 + 38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c + 0 + 3 - 3.\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 - 263. Let o = j + 159. Suppose -w + n + 25 = 0, 7*n = -2*w + 8*n + 50. What is the remainder when o is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-4374)\/24))\/((-36)\/(-54)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7393478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 5*m. Suppose -c + 0*j = j + 9, 0 = c - 5*j - 15. Let h(y) = -7*y - 16*y + 76*y**2 - 78*y**2 + 7*y. Determine c*h(s) - 16*w(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*d, -6*j - 5*d - 522 = -10*j. Is 131 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 40*x**3 + 4*x**2 + 1350*x + 2689. Give j(-2).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -539 + 544. Let s = -3 + 7. Find the first derivative of -11*p**4 + 0 - x + 4*p**s + p**4 wrt p.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = -213 + 273 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 4. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, q: 2, w: 2, h: 2}. What is prob of sequence hfwf?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) -1\/11 (b) 4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**6\/120 - s**5\/20 - s**4 - 27*s**3 + 9. Let g(b) be the third derivative of f(b). Solve g(k) = 0 for k.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/21 - (-11)\/7 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111101 + 10110?\nAnswer: 101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1428 and 120360.\nAnswer: 842520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 2. Let z = 3 + -1. Let c be f(z). Let r = c + 19. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2340*r + 16421. What is i(7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let x(p) = p + 3. Suppose -24 = 3*f + n - 4*n, -2*f = 3*n - 4. Let i be x(f). Calculate k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {k: 2, g: 6, a: 2, d: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*v + q, q + 2*q = v - 4. Let t = v + 8. What is the third derivative of -x**2 - 3*x**4 + 3*x**4 + 2*x**2 - t*x**4 wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106487153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, y: 2, s: 3}. What is prob of sequence ys?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(1872)*-2 - (sqrt(1872)*1 + -3).\nAnswer: 3 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79863 (base 11) to base 5.\nAnswer: 12144003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -120 (b) -0.2 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.3 - 14. Let i = 0.8 + k. Is 1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18246)\/(-2030) - 398\/(-5771) - ((-206)\/70 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r - 74*r + 37*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6449, -6465, -6485, -6509, -6537, -6569, -6605?\n\"Answer: -2*c**2 - 10*c - 6437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06086 - 0.06. Round f to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 93?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2140 by -4.\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 35530 = 2*o, -88826 = 5*o + 18*k - 20*k. What is o rounded to the nearest one hundred?\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -367 (b) -0.4 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130217039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1811*s**2 - 1752 wrt s?\nAnswer: 3622*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15152*a - 15151*a = 4*m - 16, 0 = -19*a + 17*a + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17\/6 in 4, 3\/7, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 13450 = -5*x - 3381, -3*x - r = -6039. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - (-31)\/(-3)) + 4 and 2723\/105 + 3\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhyfprryyrpprr. Give prob of picking 1 p, 2 r, and 1 h.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*w - 16 = 0, -4*c - 3*w + 44 = -8*w. What is the derivative of c - 4 - 3 - 2 - 3*g**2 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6 + 5 + 3*n**3 + n**3 - 6*n**2 - 4 + 3*n. Let r(u) = -u**3 + u**2 - u - 1. Let l(s) = -6*r(s) - 2*y(s). Solve l(w) = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16209)\/(-13) + (-112)\/(-728). Suppose -1263 = -2*s - w. Which is smaller: s or -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**3 + l**2 - 103*l + 1257. Let b be a(11). Calculate the greatest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u + 548. Determine y(-33).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -94, 36, 2 in decreasing order.\nAnswer: 36, 2, -2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -10 - (4 - (0 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(432) + (1 + sqrt(432) + 1)**2 + sqrt(432) - (sqrt(18)\/(sqrt(24)\/sqrt(4)) - (3*sqrt(33))\/sqrt(11)).\nAnswer: 86*sqrt(3) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1 + (-2 - 2 + 2)*(5 - 3 - 3) + 3 - 2 + 0)*(3 - 5 + 4)*(-5*n + 4*n + 6*n) - 3*n + 0*n - 2*n.\nAnswer: 45*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*103 - 10623838\/(-101394)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 84617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 5, -9499, 1.2, -2\/39?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14544*x + 14585*x + 441 + 1486 = 0 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:03 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*y - 12, 2*b - 1 = y - 7. Suppose -3*t = y*w + 19, t - 2*w + w = -3. What is the units digit of (-3 - -7)*t\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from zyzdzcczzdyy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1834495 - 576933 = -7133*m + 26580*m for m.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*l + 547*l + 750 = 307*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**5\/60 - 7*p**4\/24 + 2*p**3\/3 + 14*p**2 + p + 41. Let i(f) be the second derivative of m(f). What is i(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -407491 at most as big as -408817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/18*(-21)\/(-7))\/(71 + (-2451)\/38).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 13*z + 39. What is n(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, 727, 992?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9405 or 9410?\nAnswer: 9410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 65 + (-6 - 30) + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s**0)\/s)\/s*s*s)\/s*s\/(s\/(s**(1\/7)*s))*(s**(-1\/3))**(-4\/7))\/((s**(2\/5)*(s**(4\/7)\/s)\/s)\/((s*s**4\/s)\/s**(1\/4))) assuming s is positive.\nAnswer: s**(2987\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -167*m + 15736. Give x(95).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**2 + 20*j - 13. Let f be l(7). Suppose -f*m = -19*m + 91. What is the remainder when 75 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56615, -113947, -171277, -228605, -285931, -343255?\nAnswer: -400577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 10:52 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 13*z**2 - 12*z - 2. Let p be m(-12). Let d = 2 - p. What is the tens digit of (6 - -36)*d\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*p - 47*p - 2936 = -376. Solve 3*f = -2*h + 28, 0 = -3*h - 2*f - p + 43 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + 52\/9. Suppose -m*k = -k. Suppose k = -3*u - 3*z + 30, -z + 22 = u + u. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 975.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*t - 272066370 = -272038377 for t.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3 - -3) + -1)*(1 - 8). Let k(h) = 2*h - 3. Let m be k(3). Suppose m*p - o*p = -256. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -27*d - 20. Let l(q) = 9*q + 7. Let y(z) = 4*k(z) + 11*l(z). What is y(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 6*f + 1. Give w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. Let h = f - -0.9. Let z = 84\/13 - 1402\/221. What is the third smallest value in h, 3\/5, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(28) - sqrt(28))\/sqrt(4) - (sqrt(7) - (4*sqrt(28)\/sqrt(4) - sqrt(7))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -1\/6*g**3 + 1\/2*g**2 + 0 - 2*g. Give x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/240*-4)\/((-1)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -778.1734 rounded to the nearest 10?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*u + 2*u**2 - 164*u - 232 + 71*u.\nAnswer: 2*u**2 - 190*u - 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 14*q**2\/5 + 4*q\/5.\nAnswer: 2*q*(q - 1)*(5*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((4\/12)\/(3\/90))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (8\/4 + 0). Let x(h) = -2*h - 4. Determine x(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*h**4 - 2 - 1 + 2 + 5*h**4 wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2981 + 6779424\nAnswer: 6776443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40823960431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/8, -3, 1\/2, -0.5?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -19b79?\nAnswer: -19b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/198)\/(4\/(-1218)) + (-302)\/453.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z + 4. Let l be y(-4). Suppose 2*a + r - l = -4*r, 0 = -r + 2. Sort -5, a, 5 in increasing order.\nAnswer: -5, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1769 - 1960 + 748*c - 3121 + 787*c.\nAnswer: 1535*c - 3312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/10)*y**(6\/25)*((y*y**(5\/2))\/y)**(30\/7) assuming y is positive.\nAnswer: y**(3939\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnxn when four letters picked without replacement from {n: 8, k: 2, x: 9, d: 1}.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1697b + 113?\nAnswer: -16868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20281.5 and 1.64.\nAnswer: -33261.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -293.85 - -5.85. Let q = -287.99999572 - t. What is q rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1174*a**4 + 348*a**2.\nAnswer: 28176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2551 (base 7) in base 8?\nAnswer: -1707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y = 9*y - 195 + 735 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 21676500*y + 65029482 = 0. Calculate y.\nAnswer: -10838247, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*k = 75, -3*k + 2*k - 115 = 4*y. Let c = 46 + y. Solve -5*g - 2 = c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38015461 (base 9) in base 12?\nAnswer: -6296324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475*k - 569100000 = -482*k. What is k rounded to the nearest 1000000?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3. Let c be 28\/49 + (-76)\/(-14). Let q(d) be the first derivative of 9*d**4\/4 + 1. Calculate c*q(u) - 26*w(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4380000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*21\/28*5\/1. Is 1 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 344*5 + 4\/(-2). Suppose b + k - 43 = 527, h = 3*b - k. Let u = b - 4015\/7. Find the common denominator of u and 45\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7014 divided by 2.\nAnswer: -3507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((2 - -2) + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*1 + (6 - 7). Let i = 2 - m. Suppose -a + 11 = -i*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0579 - -0.0879. Which is the nearest to -1? (a) -2\/15 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(2\/19)))\/t**2)\/(t\/(t*t**(2\/5)))**(-1\/3))**(-2\/9) assuming t is positive.\nAnswer: t**(1156\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33710197?\nAnswer: 557, 60521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by 3?\nAnswer: 107\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -y + 4*v, -5*v - 5 + 10 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7294544 is divided by 2145.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108)*-5)**2 + -5 + (-1 + sqrt(192) - sqrt(192))**2)*-3.\nAnswer: -8088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**2. Let r be 4*(-2)\/(-4)*3. Let z(f) = 3*f + 0*f + f - r*f. Give c(z(s)).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-5)*(-37)\/(-74)*20\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:16 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 + o**2. Let n be m(-1). Let v(p) = -3*p - 2. Let r(q) = 2*q + 1. Let j(s) = -4*r(s) - 3*v(s). Calculate j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 3*h + h)*(4*h - 5*h + 3*h)*(12 - 11 - 10 + (34 + 32 - 56)*(-1 - 1 + 1)).\nAnswer: 76*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by (1\/3)\/((-7)\/(-126)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 10.6 (b) 3\/7 (c) -0.4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -56*x**6 + 3*x**2\/2 - 40*x + 548. Find the second derivative of w(q) wrt q.\nAnswer: -6720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 2053*n**5\/20 - 3*n**4 - 7*n**3\/3 + 1494*n. Find the third derivative of k(g) wrt g.\nAnswer: 12318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s**2 - 1810*s + 646. Let q(n) = -9*n**2 - 1812*n + 687. Let f(l) = -7*m(l) + 6*q(l). Factor f(x).\nAnswer: (x + 200)*(9*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -18 + 1 + 3*x + 23*x**2 - 35*x**2 + 13*x**2 - 2*x. Give i(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 2:54 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 114094764 = 114094760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 2. Let f be 2\/4*(-48)\/(-4). Let v(n) = 5*n + 4. Let o(d) = f*v(d) - 13*u(d). What is the units digit of o(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1311465?\nAnswer: -1\/437155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/5 + 799832*r\/5 + 79966403528\/5 = 0. Calculate r.\nAnswer: -199958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*c = 9689, 4*s + 5*c = 3*c + 12904. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26 + 15 + 6 + 95*f**2 wrt f.\nAnswer: 190*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -28*l**2 - 7*l - 3. Let i(h) = -h**2 + 3*h. Calculate -2*i(s) - n(s).\nAnswer: 30*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 0)*(5 - 3 + 1) - 47 + 14 - 15)*(-2 + 2 + 2*w**2)*(-7*w - 3*w + 4*w) to the form q*w**2 + y*w**3 + o + s*w and give y.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276 - 267. Solve 3*g + 5*y + 8 + 1 = 0, -m = 3*g + 3*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -324, -660, -1132, -1752, -2532, -3484, -4620?\nAnswer: -5952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439908686 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2104\/5)\/((-13)\/(-65)). Let i be (k + 4)\/4 + 1. What is the first derivative of 528*t + 8 - 3*t**2 - i*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41792.2 + -41773.2001. Let s = 19.08 - h. Round s to three decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*i = -1686 - 826 + 146 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q**(2\/35))\/(q**(5\/4)*q*q**5*q) assuming q is positive.\nAnswer: q**(-2267\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 + -77 + 4 + -2 + -1 - 35.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203104 - 203101. Factor 27\/2*t**2 + 9*t - 24 + 3\/2*t**h.\nAnswer: 3*(t - 1)*(t + 2)*(t + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 284224950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36858 + 146845. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.5, -3, -0.054, 4\/5, -28\/9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(20\/(-6))*(-8)\/96\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/7 + 44\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6372, -6371, -6370, -6369?\nAnswer: -6368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 2*l**2 - 3*l - 2. Let g be (-12)\/186 + (-29)\/31. Let b(j) = 0 + 6*j**2 - 7*j**2 - j + 0. Calculate g*v(q) + 3*b(q).\nAnswer: -q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3163860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 3041434?\nAnswer: -3041435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 1.6, -1.2 in descending order.\nAnswer: 1.6, -1.2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -0.01 (b) -0.3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 2. Which is the third smallest value? (a) -3 (b) s (c) -0.1 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*b = 5, -3*c - 3*b + 2 = -25. Suppose -c = -4*t + 16. Is 20 a factor of (-87)\/(-4) + t - 1\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2 + 2. Let i(z) = -z**2. Suppose 5 = -3*k - 4*c, 19*k = 20*k + c. What is k*i(n) - q(n)?\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.2 - -25. What is the third smallest value in -14, g, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42388 - -78893. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6. Suppose 4*m - 3*m - 8 = 0. Let z = 1 + m. What is the least common multiple of z and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**8\/672 - o**7\/60 + o**6\/16 - o**5\/24 - o**4\/3 + o**3 - 579*o**2 + 2. Let l(x) = 0. What is x?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -l - 3404, 14*g - 6*g + 5*l - 5453 = 0. Calculate the remainder when g is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 232*z - 3188. Determine r(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k**3 + 60*k**2 + 72*k + 16.\nAnswer: 2*(k + 2)**2*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 5968 = 1262. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 - 74. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 + -2.82. Let s = 1109 - 1104. Which is the third smallest value? (a) x (b) -1 (c) 1\/5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -43.\nAnswer: -2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*r + 4*f - 24 = 106*r, 21 = 5*r + f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*w + 1 - 548*w - 3*w**2 + 1090*w - 2*w**3 - 1.\nAnswer: -2*w**3 - 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(288)*2*4 + sqrt(288) + 0 + sqrt(288) + 5 + (sqrt(288) + -3*(3*sqrt(288))**2 - (-3 + sqrt(288) + -1)).\nAnswer: -7772 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*f + 27*f + 483 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -48*m**2 - 304*m + 17. Let j(o) = 25*o**2 + 149*o - 10. Give -3*d(b) - 5*j(b).\nAnswer: 19*b**2 + 167*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -295.63875 rounded to 2 decimal places?\nAnswer: -295.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21a5 - -2?\nAnswer: 21a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k*k\/(k**(4\/5)\/k))\/k))*k*k*(k\/(k*k\/k**6*k))\/k)\/((k**6*k)\/k**1))**34 assuming k is positive.\nAnswer: k**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 116736.3 to the nearest one thousand.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6149 or 6148?\nAnswer: 6149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*30\/675*-2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1260 and 252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -32. Suppose 4*g - 1 = 4*o + 11, -2*g + 10 = j. Suppose o*p - p - 35 = 0. Calculate the greatest common factor of p and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(704)*2 + 5 - (2 + (sqrt(704) - 3*sqrt(704))) - 1*(-1 + sqrt(704)*1)*6))**2.\nAnswer: -1152*sqrt(11) + 11588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - -0.61. Let q = -0.4 + h. Let j = -0.2 + q. What is the closest to 0.1 in j, -1\/4, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 456*l**2 - 7182*l - 140. Calculate c(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/253 - 1\/(23\/(-136))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 2. Let n(v) = 2*v + 1. Let b(u) = u**3 + 3*u**2 - 12*u - 7. Let f be b(-5). What is f*n(x) - 2*z(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95817.6 from -0.1086.\nAnswer: -95817.7086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-6)\/4)*2. Let q(g) = 2*g + 63. Let m be q(-22). Let x(o) = o - 11. Let n be x(m). What is the greatest common factor of n and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - 14\/(-8). Let d = 85134 + -7917590\/93. Let p = -22\/31 - d. What is the third biggest value in l, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**3 + 3*f**2 - 2. Let c(y) = y**2 + y - 1. Calculate 2*c(n) - u(n).\nAnswer: -7*n**3 - n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/718 + 7883\/3590. What is the nearest to z in -1\/4, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 443 + -448. Let j(g) = -g**2 + 4*g + 4. Let z be j(5). Which is the smallest value? (a) z (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3003 and 1643460?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(833) + 1 + sqrt(833)) + sqrt(833) + 1 + -2.\nAnswer: 5 + 91*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(162)\/sqrt(6) + ((1*sqrt(21))\/sqrt(7) - sqrt(3))**2.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 15*w**2 - 11*w + 15. What is the remainder when m(14) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -69*f - 619. Let u be h(-9). Solve 4*w - 3*x = -0*w - 2, -u*x = -4*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 390a?\nAnswer: -3912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.3147454 milliseconds to days.\nAnswer: 0.0000003045688125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14417.8 and -82?\nAnswer: 1182259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 510817 < 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -25*f - 320. Let k = f + 77. Let l = -3 - -7. What is the remainder when k is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13 + 24 + 14*r**2 + 50 + 1 + 2*r**3 - 88*r + 8*r.\nAnswer: 2*(r - 2)**2*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5888 - -4?\nAnswer: 6003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-825)\/(-168)*36\/(-90) and -69\/190?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6154614.\nAnswer: -5\/6154614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 15.5. What is the smallest value in w, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 3*i**2 - i + 1. Let g be j(-3). Suppose g + 11 = 3*q. Let a be -12 + 189\/15 + (-14)\/(-10). Calculate the greatest common divisor of q and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1046*q + 1040. Calculate d(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17*j**2 - 25*j + 8. Give t(-4).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7396, -14713, -21934, -29053, -36064, -42961, -49738, -56389?\n\"Answer: q**3 + 42*q**2 - 7450*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -25 + (-1 - -1 - 1). Let x(q) = -2*q**2 + 30*q + 250. Let u be x(21). Let c be (u\/n)\/((-9)\/6). Is 1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*i = -p - 2, -4*p = 2*i - 8. Let k(h) = 8*h - 3. Give k(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s = -91*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 8. Let d be (-5)\/(-2)*20\/25. Let f be d*1 + (-3 - -4). What is the highest common factor of f and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(225)*2 + sqrt(225)))\/(sqrt(576)*-2))\/(sqrt(245) + -4*(sqrt(245)*2 - sqrt(245)) - sqrt(245)*2*-6))**2.\nAnswer: 5\/112896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/21 - 8\/14. Let i = 11.3 + -11.6. What is the second smallest value in i, 0.4, -5\/6, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/((-2)\/12) - 15006\/(-1845).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.9, 3\/4, -2, -0.1 in decreasing order.\nAnswer: 15.9, 3\/4, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -39. Which is the nearest to l? (a) 2\/3 (b) -0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205651 - 7*z + 205651.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26967211.\nAnswer: 26967211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:06 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-63)\/6 - 3)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3*8\/18)\/((-5)\/435). Let g = -107 + v. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(76))*-4 + ((sqrt(304)*-3)**2 - (sqrt(19) + 1 + 1)).\nAnswer: 23*sqrt(19) + 2746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*u - c + 20 - 4, -41*c - 21 - 80 = -2*u + 291 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8 + 3 - -1) + 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2\/25721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 49*j**3 - 114*j**2 - 89*j - 22.\nAnswer: -(j + 1)**2*(j + 22)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341*4433.\nAnswer: -1511653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86\/3*r + 131\/3*r**2 + 0 + r**3 = 0. What is r?\nAnswer: -43, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/7 - -23\/21. Let n = -994 + 1989\/2. Let s be 3 + (-57)\/12 - -2. Which is the closest to n? (a) s (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-18 - ((6 - 14) + -6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (2*-6)\/(-1). Suppose 2*d + k = -d. Let n(u) = 2 + 0*u**3 - 3*u**3 - 4*u**2 + u + 2*u**3 + 0*u**2. Calculate n(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261 + -880.526604\nAnswer: -1141.526604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1727*u + 1713*u - 282 = 40 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4622*b**2 + 2*b**4 + 0*b**4 + 4616*b**2 + 4*b.\nAnswer: 2*b*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:15 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86653?\nAnswer: 7, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 4*p**2 - 4*p + 7. Let j be x(-5). Suppose 0 = -3*q - d + 1529998, 5*d - 6*d - 1020002 = -j*q. Round q to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*o + 3, 15 = 5*o + 2*h + 4. Let c be (-2)\/(-2) + 4 - o. What is the remainder when 54 is divided by 70\/c*4\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, d: 2, j: 7, h: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4041, 2642, -1129, -8448, -20491, -38434, -63453?\nAnswer: -96724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/(-328) - (-1)\/4)\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1579581476 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2525 - 915. Calculate the remainder when v is divided by 445.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3.6. Let n = -2.3 - o. What is the closest to 0 in -9, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3 + 933*f**2 - 190242*f + 3701808 = 0.\nAnswer: -456, 22, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 7:12 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -101010111110011101001 (base 2) to base 8\nAnswer: -5276351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -794199879386.\nAnswer: -794199879381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 4 (c) -0.8 (d) -0.07 (e) -405\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -599*k - 525 wrt k.\nAnswer: -599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/31 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 232 = 146*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*l**2 + 109 - 211 + 102.\nAnswer: 494*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76019382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678532 is divided by 17397.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22\/329 + -23885\/1974. Let q = 37497\/8 - 4694. Calculate the common denominator of q and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 885.8 * -23\nAnswer: -20373.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p*p**(-1\/25)*p))\/p*p**(-18))\/(((p**6\/p)\/p)\/(p\/p**(-2\/19)*p)))**(3\/20) assuming p is positive.\nAnswer: p**(-28293\/9500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -110 - (-61 - (-286830)\/(-5850))\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (2 - 2)) + 0\/6. Let g(i) = i**2 - 4*i + 5. Let q be g(4). Let w = -6 - -8. Put q, w, l in decreasing order.\nAnswer: q, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 240.6451 - -4107272.\nAnswer: 4107512.6451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 14, p: 5, d: 1}. What is prob of picking 2 w and 1 d?\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*869.263.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 6*w + 6. Let i = -45 - -48. Suppose i*n = o - 4, 7*o = 4*o + 4*n - 3. Calculate the remainder when b(o) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w + 0*w - 3345*w**3 - 2*w + 65246 - 62749 wrt w?\nAnswer: -10035*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1479*b + 273500. Give s(-185).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 335 + -312.9. Let u = d + -22. Is u less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 521571243*u**3 - 314*u - 586874 wrt u?\nAnswer: 3129427458*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5450 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - ((-52)\/(-16) + -5)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 8, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 8979 (c) 5 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4*(-2)\/3. Suppose -8 = -5*s + 17. Sort f, s, 4 in ascending order.\nAnswer: f, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -17682?\nAnswer: 4\/8841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 7:04 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 252177\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 88.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 842*v + 221. What is the ten thousands digit of s(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38795 - 927473 = -18*g. Calculate the highest common factor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + 46. Let j be (-6)\/21 - i\/7. Let q(z) = 36*z - 5. Is q(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546440?\nAnswer: 2, 3, 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 20 = -9*o. Let p be (10 - -1) + -1 + -2. Suppose -c - o = -p. What is the lowest common multiple of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/sqrt(36) - (-3 + sqrt(832)).\nAnswer: -15*sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -15. Let u be (27\/45)\/(1\/x). Suppose u*r + 1 = 4*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30930280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - j = -8*g - 46, 5*j = 5. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/4 - 75*c\/2 - 5611\/4 = 0 for c.\nAnswer: -31, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3445 divided by -8108\nAnswer: -3445\/8108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k - 504 = 30*k - 48*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 765 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 13*w. Let x(f) = -2*f**2 + 5*f - 43. Let r(m) = -m**2 + 3*m - 21. Let q(b) = -5*r(b) + 2*x(b). Let c be q(3). What is p(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.6 - -5. Let k = -1127 + 1135. Let g be 6\/k + 33\/(-396). Which is the third smallest value? (a) 3 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 0.6 (c) 95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (1 + -5)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 5\/9, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3 (b) 0.5 (c) -11383 (d) 8 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011768144 to 7 dps.\nAnswer: 0.0001177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 164533370 - -13?\nAnswer: 164533403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**3\/3 - 19*b**2\/2 - 12*b - 45. Let s be f(-7). Suppose s + 48 = 10*i. Calculate the least common multiple of 20 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*c - 10 = 0, z + 3*z - 6 = -3*c. Let h be 9\/(-12)*(-4)\/60. Is z != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9662*g**2 - 16483*g wrt g.\nAnswer: 19324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, d: 1, h: 2, m: 1, a: 1, z: 1}. What is prob of picking 1 s, 1 z, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5747 + -272. List the prime factors of l.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 216525576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 313\/28 or 12?\nAnswer: 313\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -139\/4, -4, 3, 2, 167, -0.4?\nAnswer: -139\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8458.\nAnswer: 2, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 196915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-74)*2)\/(-1). Let f = -2263688939\/1665 - -1359573. Let q = h + f. Is 1 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s**2 + s - 4\/3*s**3 + 3. Let f(t) = 9*t**2 - 2. Let h(x) = 3*f(x) + 7*p(x). What is the first derivative of h(q) wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1567 + -1555. Calculate the smallest common multiple of 99 and p.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u*u**3*u*u))**(3\/5))**(-11\/6) assuming u is positive.\nAnswer: u**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 + g**2)*(g - g + g) + (2 - 2 + g)*(3*g**2 + 0*g**2 - 2*g**2) + 3*g**3 + 2*g**3 - 4*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 623, 1259, 1897, 2537?\nAnswer: 3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 37413603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 368\/(-40)*3*(-10)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 6*f**2 - 7*f + 6. Let c be n(3). Factor 10 + 7*r**2 - 2 + c*r - r**4 + 4*r**2 - 48*r.\nAnswer: -(r - 4)*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -10, 4, -12 in ascending order.\nAnswer: -14, -12, -10, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 46 = 15*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8201 - -4051. Round m to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.68 - -0.62. Let o = 1.3 - d. What is the nearest to 2\/5 in 1\/2, o, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 140*z + 7. What is v(35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 4:23 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 + -128. What is the lowest common multiple of m and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3016, 2\/7, -0.3 in ascending order.\nAnswer: -0.3, 2\/7, 3016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 92*y**3 - 50*y**2 + 489*y + 15. Is f(8) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/9*(-24)\/(-4). Let i(u) be the first derivative of -1 + 0*u + 2*u**2 + 1\/3*u**3. Determine i(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.8 less than 43.551?\nAnswer: -153.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/(74\/1110 - (-2)\/6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 + 283 + 510 = 112*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*r + 4 - 12, 2*b = -2*r + 10. Suppose -4*l + 2*l = -r. Let d(u) = -u. Let t(s) = 2 + 5*s + 5*s - 6*s. What is l*d(w) + t(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41131, 3, 11 in ascending order.\nAnswer: -41131, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.18 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25958 + 0.24042. What is the smallest value in -4, t, -0.5, -0.3, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38745, -154915, -348541, -619623?\n\"Answer: -38728*r**2 + 14*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 23*c + 144. Suppose t + 12 = 2*r, 2*t - 5*t - 24 = -2*r. Is (t\/(-4))\/(c\/(-544)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -9 - -18) + -18 - (2 + -52).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004262686 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-29)\/(-77) - (-6)\/(-21). Let h = 1866 + -1870. Put -0.04, h, b in ascending order.\nAnswer: h, -0.04, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 7*j - 4. Let b be u(6). Let r be -2 + b - 9\/(-5). Let s = 0.5 - 1.5. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, 13, 53, 91, 127?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 - i**2 + 3*i + 2. Let d be c(-1). What are the prime factors of (-2 - (-3)\/d)*(-1 + -97)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/12)\/48 + 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3232861 + 15a?\nAnswer: -3232702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/4)\/(9\/(3*-204)). Solve 48*p + 9 = o*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89471636 and 3492?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 + 35*g**2 - 19*g**2 + 8*g**2 to l + z*g**2 + m*g and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {z: 2, a: 2, t: 2, x: 2, h: 4, k: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 0*q**2 + 3*q**3 + 65*q**2 - 6*q**3.\nAnswer: -5*q**3 + 65*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - d + 42 = -3*d, 0 = -2*h - 2*d + 42. Calculate the remainder when 227 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 212, 434, 670, 926, 1208, 1522, 1874?\n\"Answer: n**3 + n**2 + 212*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 6:49 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmdk when four letters picked without replacement from kkkdkkkkdmkdkkdm?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23715 and 425?\nAnswer: 118575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 0*b**2 + 3 + b**2 + 4*b - 10*b. Let y(q) = -q**3 - 8*q**2 - q + 2. Let n be y(-7). Let d be 6\/(-4)*n\/15. What is g(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/70)\/((-8)\/(-40)))\/(84\/245).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4867888 by -2936.\nAnswer: -1658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 + 101335*f**4 + 3843510*f**3.\nAnswer: 5*f**3*(f + 38)*(f + 20229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -12287, -4, 2, -1585 in decreasing order.\nAnswer: 2, -4, -1585, -12287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + g - 15 = 0, -2*y + 3*g = -g + 24. Sort -3, y, 7.\nAnswer: -3, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 0*o + 62*o**3 - 56*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31411\/4 - 7853. Which is smaller: g or 3\/1118?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, -13\/2, -0.02, 0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-39) + (-1)\/((-91)\/845376). Let k = 8121 + r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327163 divided by 4?\nAnswer: 327163\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -345792.08 - -345792. Let b = 8.03 - 8. What is the closest to c in b, 4, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and -243067.\nAnswer: -243067.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, e: 4, c: 4}. What is prob of sequence ecee?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*u + 32*u**2 + 122*u - 11*u**2 - 52*u - 2*u**2 + 7*u**2.\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 + 69*z**2 + 26*z - 77. What is r(24)?\nAnswer: -1181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.68 (c) 3\/5 (d) -1\/6 (e) 5 (f) -118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 6 = -10*x. Find the third derivative of x*z**2 - 20*z**6 + z**2 + 35*z**6 wrt z.\nAnswer: 1800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5421 = 4*a - r, 2*a + 34*r - 2728 = 32*r. Solve 0 = 10*c + 1347 - a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -42 (b) 4\/3 (c) 42 (d) 0.6 (e) 2\/203 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 64496a2?\nAnswer: 644969d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 204*u + 69729. Give g(-336).\nAnswer: 1185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 13*z + 15*z = 33*z + 85, -116*j - 75 = -119*j + 3*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1b5 (base 13) to base 9\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 - 3*x + 3. Let a(q) = -2*q**2 - 1. What is -a(r) - i(r)?\nAnswer: -5*r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d - 14. Let v be x(-6). Let b = 75 + v. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + -11 - -37) + (2 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s**(5\/3)*(s**0\/s)**(5\/12))\/(((s**(2\/3)*s)\/s*s)\/s**(1\/12))**(-9) assuming s is positive.\nAnswer: s**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14007 or -14006?\nAnswer: -14007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 1972?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 1833 = -13*p. Let n = p + -49. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-3236)\/20 - 1\/(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173789 is divided by 88.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 6. Let o be h(9). Calculate the remainder when 7 is divided by (-3)\/(-1) - 3\/o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 - 135. Let i(m) be the third derivative of m**2 + 1\/60*m**5 + 0*m**4 + 0*m**3 + 0*m + h - 1\/40*m**6. Find the third derivative of i(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14833 bigger than -14833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/u**(-7))\/((((u\/((u*u**(-1\/7))\/u*u))\/u)\/u)\/u*u**1))\/(u**2*u**5)**(3\/22) assuming u is positive.\nAnswer: u**(1679\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - ((-1)\/1 - 1 - 0). Find k such that 0*k - 4\/3*k**3 - 8\/3*k**z + 2*k**4 + 4\/3*k**5 + 2\/3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32133836 and 8?\nAnswer: 64267672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 3*v**2 - 2*v. Let k(z) = 6*z**2 + 3*z - 1278. Calculate k(g) + 2*x(g).\nAnswer: -2*g**3 - g - 1278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 37 + 157. Let r = w - -21. Solve -5*g + p - 5*p = -40, g = p - r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 13, 3\/4, -4, -5, 1\/7, -2\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 - 16804*p + 151510. Calculate a(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69260 divided by 34630.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0966 - 5.0966. Which is smaller: g or 83?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4048788850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.42 - -0.42. Which is the third biggest value? (a) 17 (b) 2\/21 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 32*g**2 + 158*g - 7. Let w be q(-7). Calculate the highest common divisor of 49 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n - 290. Let h be b(-42). Suppose 0 = -2*d - h*w + 1480, -2264 = -2*d - d + 5*w. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:37 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(700)*-2)**2 + -5)*1*4.\nAnswer: -55900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 961 - 964. Let d(l) = -2*l**2 + 7*l - 4. Let m(i) = 5 + 4*i**2 - 2*i**2 - 2*i**2 + 3*i**2 - 8*i. Let z(w) = t*m(w) - 4*d(w). What is z(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 3*q - 5. Let p be w(5). Suppose -4*z = -2*m - 1876, 0*m = p*z + 5*m - 2330. Let n = -1028 + z. Round n to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 53. Suppose -w = t + 2*f + f, -3*t = 3*f - 18. What is the smallest common multiple of t and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 3. Suppose 7*w + 18 = y*w. Let g = 25 - w. What is the greatest common factor of g and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*f + 416, -4*f - 32 = 3*z - 344. What is the lowest common multiple of 130 and z?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = -3*k + 1245, -2*k - 2*d = -838. Suppose -8*j + k = -351. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161.33 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**1))**(-40)\/((v\/(v**(-3)\/v))\/v**(1\/3)) assuming v is positive.\nAnswer: v**(106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3010422 (base 5) to base 2.\nAnswer: 1011100111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/308155 or 0?\nAnswer: -8\/308155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 7)*(-1 + 0 - 1)*(-16*j + 20*j - 17*j).\nAnswer: 260*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111101011110000 - -1110100?\nAnswer: 1001111101101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1165, 2679, 4225, 5803, 7413, 9055, 10729?\n\"Answer: 16*c**2 + 1466*c - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/t**(-2\/13)*t)\/t)\/t)\/((t\/(t**(1\/4)*t))\/t))\/((t\/t**(1\/6)*t)\/t**3))\/((t\/(t**2\/t)*t*t)**(17\/4))**(-2\/23) assuming t is positive.\nAnswer: t**(11875\/3588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1709\/2 + -952. Let r(z) = z**3 + 6*z**2 - 3*z + 2. Let q be r(-8). Let f = b - q. What is the common denominator of f and 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7938 (base 11) to base 15.\nAnswer: -3167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 + -161. Suppose 0 = 6*d - 2*d - 8, 3*d = 3*m - 24. What is the remainder when m is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41630 + -4?\nAnswer: -41634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*k**3*l**3 + 440*k**3*l - 7*k*l**2 + 1239*l**3 + 2 wrt k?\nAnswer: -114*k*l**3 + 2640*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5*o**3 + 207*o - 207*o.\nAnswer: -5*o**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 - 3*y + 6. Let u(m) = -3*m**2 - 3*m + 5. Let a(b) = -4*k(b) + 5*u(b). Let v = 13 + -9. Give a(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eemm when four letters picked without replacement from {e: 8, m: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(10\/6) + 1. Does 3 divide v*(1*-3 + (-28)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 48352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + -0.1. Let w = -2.46403 - -0.46403. What is the closest to 0 in v, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 14 + 2 = 0. Let x be (-318)\/(-6) - 1*w. Suppose 2*q + 2*q = 2*a - x, 5*q = -a + 46. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -97. Let i = -47 - y. Let r be (18\/(-15))\/(2\/(-5)). Sort r, -4, i.\nAnswer: -4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 2, p: 1}. What is prob of sequence upa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-34 + 30 + (26 - -1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1072*w**5 + 2*w**4 + w**2 + 19*w + 210.\nAnswer: -64320*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/103 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 - 10*p + 53. Let o be k(8). Sort -3, -1, o in descending order.\nAnswer: o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2132 + 0.0868. Which is the biggest value? (a) 4\/5 (b) 1\/6 (c) g (d) -10\/3 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12267*-2.8.\nAnswer: -34347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h**1)**35\/(h**(2\/11)*h*h**(-1\/11)*h)**(2\/47) assuming h is positive.\nAnswer: h**(-108616\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*-3 - sqrt(132)\/sqrt(3).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*g = 2*a - 15, 0 = -3*a + 4*g + 9. Suppose 9 = a*i - 0. Suppose 0 = -2*l + 14 - 14. Solve -f = -l*f + i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**8\/112 + p**7\/70 + 3*p**6\/40 - p**5\/20 - p**4\/4 + 12*p**2. Let g(m) = 0. What is m?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 43549\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 - 4747?\nAnswer: -4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-3\/28)*x)\/x*x*x*x)\/x**(5\/12)*(x\/x**(1\/3))\/(x**(2\/9)*x) assuming x is positive.\nAnswer: x**(247\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.01745.\nAnswer: -0.01745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/21 + ((-247)\/(-455) - (-4)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Let b be (-3)\/(9\/6) + n. Solve -4*g = -4*i - 28, g - 16 = -3*g - b*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106232 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33830 = -101*x + 12428. What is the remainder when x is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 534*s**3 - 7035*s**2 + 24108*s.\nAnswer: -3*s*(s - 164)*(s - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 + (-2 - -10) + -6 + -27?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -18*z - 73. Solve -29 = -6*k + z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11455*v**2 - 11 + 11 + 11450*v**2. Let g(l) = 6*l**2. Determine t(g(y)).\nAnswer: -180*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127cb (base 13) in base 2?\nAnswer: 1000011000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -33\/20*w**5 - 299 + 0*w**3 + 3\/8*w**4 + 9\/8*w**6 + 0*w**2 + 0*w. Find j such that o(j) = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*k**4 - d**2*k**2 - d**2*k - 6*d*k**3 - 1233*d*k**2 - 7201*k**4 + k**2 wrt k.\nAnswer: 24*d**2*k - 36*d - 172824*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 439, 1406, 3279, 6358?\nAnswer: 10943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - s - 116180 - 202985, 0 = 4*k + 2*s + 1276656. Let c = -579163 - k. Round c to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j + j**2 - j - 3*j**2 + 2*j.\nAnswer: -2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107 + 56 + 44 - 6*n)*(-6*n**2 - n**2 + 5*n**2 - 3*n**2) in the form v*n**3 + h + g*n + l*n**2 and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, 4, -5, 5, -2\/7 in increasing order.\nAnswer: -138, -5, -2\/7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*v + 7. Let g(s) = s**3 - 7*s**2 + s - 2. Does 5 divide g(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -2\/7, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8*2*106. Let h = -52 - z. Let f = -2 - -2.3. Which is the smallest value? (a) h (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185133, 370164, 555105, 739950, 924693, 1109328?\nAnswer: 1293849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46382, -91622, -136876, -182150, -227450, -272782?\n\"Answer: -x**3 - x**2 - 45230*x - 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - (20 - 16 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23003122 (base 4) to base 13\nAnswer: 177b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.04 - -0.04. Let i = t - -17.5. What is the nearest to 0 in 1, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y. Let s(f) = -5*f**2 - 81 + 81. Give q(s(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 5*j**2 + 6*j - 1. Let y = 7 - 1. Let r be u(y). Let o = 14 - r. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*q + 287*q - 1256 = 141*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3456547 or 3456546?\nAnswer: 3456547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290 - 578 - 44*g + 289.\nAnswer: -44*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x + 8, 5*n = -3*x + 24. Let f(g) = g**3 + 7*g**2 - 7*g + 7. Calculate the smallest common multiple of n and f(-7).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/(-3)*18\/84\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145833345 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 357473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffww when four letters picked without replacement from wufufwzwuuf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 562?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 1, q: 1, r: 5, w: 1}. Give prob of sequence qbg.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 8:33 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 118*y**2 + 96*y + 654. What is the units digit of n(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 0 in decreasing order.\nAnswer: 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100)*1)\/(sqrt(42)\/sqrt(6)*4).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/6*3*((-1463605)\/(-110) + 23)?\nAnswer: 19, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -32991 in ascending order.\nAnswer: -32991, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2)\/(1\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2771708 millilitres in litres?\nAnswer: 0.0002771708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4221334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.2 - -0.2. Let u = r + 74.5. Let l = 1 - -2. Put -4, u, l in ascending order.\nAnswer: -4, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (61 - (85 - -14)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3728.835 to the nearest integer.\nAnswer: -3729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 3 - 153829*(-342)\/741 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -2232134334?\nAnswer: -2232134332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*1*sqrt(245) + sqrt(245) - 2*(sqrt(245) + -1 - sqrt(245) - sqrt(245))) + 5)**2.\nAnswer: -56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 1296?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13*u**2 - 4*u - 12. Let q(l) = 29*l**2 + 9*l + 27. Let x(y) = -9*d(y) - 4*q(y). Let w(v) = 1298*v. What is w(x(o))?\nAnswer: 1298*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49200*y + 49231*y - 1147 = 0 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4666*h + 13820*h - 241473 = 88071 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(0 - (-2 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687 - 418 = -221*i. Let m(u) be the second derivative of -24*u + 0 - 1\/60*u**i - 1\/18*u**4 + 0*u**3 + 0*u**2. Factor m(p).\nAnswer: -p**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168555203 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: What is -1308372417 divided by -141?\nAnswer: 9279237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 3*y + 2. Let g be r(0). Factor 14*d**g + 15*d**2 - 19*d**2 - d.\nAnswer: d*(10*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-8))\/(1\/(-12)). Let r = -5 + o. Let g be 0 - (55\/11 - 11). Solve -n - g = -r*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479734*t**3 - 4 + 239866*t**3 + 239898*t**3.\nAnswer: 30*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349597649 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*n + 21. Let m(u) be the second derivative of -u**5\/5 + u**4\/6 + 3*u**2\/2 + 8*u + 3. Is m(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -84. Suppose y*j + p = 478, 0 = -0*j + 5*j + 3*p - 474. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -3*y + 50, 115*r - 328 = 116*r + 2*y - 343 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31021 (base 4) to base 8.\nAnswer: -1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*((3*(sqrt(448) - (sqrt(448) + 0 + sqrt(448))))**2 - ((1 + sqrt(448))*-4)**2)*-3*-6.\nAnswer: 115200*sqrt(7) + 1418400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53807?\nAnswer: 13, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.1 + 86.1. Let m = -144 + z. Let w = m + 66. What is the second biggest value in -0.4, 1\/7, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 - (3 - 6 - -2). Let a(p) = -p**3 - 7*p**2 + 2*p + 8. Give a(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 + -0.31. Which is the fourth smallest value? (a) 0.4 (b) 1\/13 (c) z (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 4 = 2*b. Suppose 5*g - 51 - 24 = 0. Calculate the lowest common multiple of b and (4\/5)\/(2\/g).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91.71 + -0.71. Let n = g - 91.2. What is the closest to -1 in -0.5, 18, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -2, 141, -1438 in ascending order.\nAnswer: -1438, -9, -3, -2, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 9*l - 51 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -25. Suppose -4*r - 22 = -s*x, -x + 9 = x + 3*r. Suppose -9*o + x*o + 363 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 1 + 0*m + 1)*(3 - 1 + 0)*(59 + 47 - 70)*(10 + 2 + 1).\nAnswer: 936*m + 1872","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i + 10 = 0, 9 = 3*t + 3*i. Let z be (-1)\/1 - (-10)\/t. Put z, -0.4, -1 in descending order.\nAnswer: z, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*x + 28*x. Let q(y) be the first derivative of 1 - 1\/3*y**3 + 1\/10*y**5 + x*y**2 + 1\/2*y + 0*y**4. Let q(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177132347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 7:16 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*n - 104 = 496*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 50 = a, 2*u - 215 = -5*a - 73. Let m(w) = -w**3 + 8*w**2 + 9*w + 2. Let p be m(9). Solve a = -5*z + 4*v + v, p*z - 2 = -5*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77.89274 - -0.10726. Sort l, -5\/2, 5 in descending order.\nAnswer: l, 5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + x + 3*x + 3*x - x + (2*x - 3 + 3)*(2 + 3 - 3) - 2 + 2*x + 2 - x - 1 + 1 + x - 4 + 4 + 2 - 2 + 4*x - x - 2 + 2 + 2)*(-2 + 4 - 1).\nAnswer: 13*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474535576.\nAnswer: 2, 59316947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1112 (base 4) to base 11\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7474 - 59937\/8. Which is smaller: 1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 41*s = -414 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**2 - i - 1. Let m be x(-1). Let r be ((-4)\/(-3))\/((-8)\/(-12)). Let j be (r + 2)*18\/24. Solve -8 - m = j*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**2)**36\/(((h*h**1*h)\/h)\/(h**0\/h)))\/(h**(4\/9)*h\/(h*h**(2\/9))*(h\/h**(-1\/2))**39) assuming h is positive.\nAnswer: h**(833\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-1)*c*c*c**17 assuming c is positive.\nAnswer: c**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -176*g*s - 22986*g - 13248339*s wrt g.\nAnswer: -176*s - 22986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -7*f - 1, -5*o - f = -1501. Solve o*m**2 - 335*m**2 + 4*m**3 + m**3 = 0 for m.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 494 + 0 - 58\/29.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13.85826 centuries?\nAnswer: 138.5826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.69 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292102927.\nAnswer: 9377, 31151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 6*a**2 + a. Let u be l(6). Let c = 16 - 16. What is the third derivative of u*j**2 - j**3 + c*j**2 - 3*j**2 - j**3 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**4\/4 + 18461*r**3 - 73843*r**2\/4 = 0?\nAnswer: 0, 1, 73843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from llallbllllalllblaau.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -52. Let r(y) = -y**3 - 4*y**2 + 2*y - 1. Let o be r(-5). Let m = o + 6. Calculate the lowest common multiple of m and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.062 - -27.938. Let o = -28 + w. Which is the third biggest value? (a) o (b) -2\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 9380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/9 - 291614*d**2 + 143502629720*d\/3 + 215254600712\/9.\nAnswer: 2*(d - 328066)**2*(2*d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61\/3 + 20. Let n = 0.08 + -3.08. Let q = -2 - n. Which is the nearest to 0? (a) p (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:20 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.1, 1558, -6\/11, 3, -1\/6, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 4)*(30 + 307*v - 154*v - 158*v - 129) in the form k + c*v and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -317810*l*y**2 - l*y - l + 127*y**2 + 3567512*y - 3 wrt y.\nAnswer: -635620*l + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 1\/3, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 2, -4, -625 in decreasing order.\nAnswer: 2, -2, -4, -7, -625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/711 and 115\/5042766.\nAnswer: 1195135542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14508, -14484, -14460, -14436?\nAnswer: -14412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487877346?\nAnswer: 2, 3, 11, 431, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/8)\/v*v)**(-33)\/((v**(-12)\/v)\/v)**(13\/2))**(-36) assuming v is positive.\nAnswer: v**(-7443\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/4)*j*j**(2\/51)*j)**10 assuming j is positive.\nAnswer: j**(3355\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988a5 (base 11) in base 14?\nAnswer: c1974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 448002 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sor when three letters picked without replacement from {r: 3, o: 1, w: 4, a: 1, l: 1, s: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 - 135. Suppose 0 = 5*r, 0*c + 3*c + 5*r - 11379 = q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5072 and -4838 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-87)\/58)\/(6\/5960). Let x = 2655 + k. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 9. Let j = c + -14. What is the nearest to -0.1 in 0, -3\/5, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -4634299?\nAnswer: -4634299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51428 by -51428.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g. Suppose 3*p + 2 = p. Let z be m(p). Let a be 3\/(-9)*z - -21. What is the highest common divisor of a and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3228*q - 3325*q + 1746 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510 is divided by 304?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 609\/11 and 54 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 364 + -207. Let c = 322 - f. What is the greatest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 322\/882 + 1\/(-7). What is the biggest value in 1\/3, -0.08, 18, 0.4, y?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sggceieceeeiccic. What is prob of picking 1 i and 1 e?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 12:21 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 348*f + 10*f**2 + 346*f - 672*f to the form k*f**2 + r + z*f and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3099169, -6198338, -9297505, -12396670, -15495833?\nAnswer: -18594994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (189*q + 495*q - 307*q)*(0 + 44 + 19 + 26).\nAnswer: 33553*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 6*i - i - 7)*(36*i**2 + 65*i**2 + 26*i**2).\nAnswer: -254*i**3 - 889*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -99.93, -2, 2\/41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = -4*b - 57*i + 48*i, 0*b - 421 = 3*b + 29*i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 10\/9)*-1. Which is the closest to 0.3? (a) -2\/7 (b) d (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 52*y**2 + 147*y + 5. Let s be m(49). Put -5, -3, 3, s in descending order.\nAnswer: s, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 9*i**2 + 7. Suppose -5*q - 54 + 9 = 0. Let s be m(q). Differentiate s + 16*h**4 - 10*h**4 - 13*h**4 with respect to h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 25. Let x(r) = 6*r - 3. Let g(q) = 2*q - 1. Let v(w) = d*g(w) + 6*x(w). Suppose -14 - 10 = -4*n. Determine v(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 20663*y - 20851*y + 59 - 46. Let z(n) = 2*n**2. What is z(b(h))?\nAnswer: 70688*h**2 - 9776*h + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:56 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o + 1. Let u(b) be the second derivative of b**3\/6 - 5*b**2\/2 - 2*b. Let f be u(4). What is the units digit of w(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10) - (-144)\/(-3600)*(-237)\/6\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 342, 3, 26.\nAnswer: -7, -5, 3, 26, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6246)\/(-24))\/(6\/32). Suppose 3*j + 134 = i. What is the tens digit of (-1)\/6*-2 - j\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 3*h + h)*(-136 - 98 - 121) - 2*h + 0 + 0 as z + j*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4180, 2567, 9314?\nAnswer: 16061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t - 30 + 30)*(t - 8*t + t) + (-2*t + 6*t - 5*t)*(-2*t + 2*t - 2*t) - 1 - t**2 + 1.\nAnswer: 73*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {m: 4, b: 2, s: 1, k: 2, j: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85938382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 208960 rounded to the nearest one thousand?\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188737593.\nAnswer: 3, 11, 67, 85363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - 74 + 164 - 67 = c, -2*c = -6*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**2 - 3*d - 9.\nAnswer: 3*(d - 1)*(4*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/((-1017)\/(-565)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Suppose -43 = -v + m*x, -v - 48 = -2*v + 5*x. Suppose -4*n - 13 = 170*f - 171*f, -f + 3*n + 12 = 0. What is the remainder when v is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*t - 100*t - 135*t to v*t + b and give v.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**6\/6 - 4*j**3\/3 - 8. What is the third derivative of n(s) wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:29 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**3\/3 - 7*l**2\/2 + 6. Let f be g(-5). Calculate the highest common divisor of 80 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {i: 2, b: 3, p: 1, x: 4, r: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0, 1.1, 18, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3593067*i**2\/4 - 15*i\/2 = 0. What is i?\nAnswer: -10\/1197689, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340243 and 2825?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254 - 254 = 18*w - 94 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-132)\/682*162\/8. Let t = x + 174019\/44392. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 13*y = 12520. List the prime factors of y.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*-1 - 209\/51623*266?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386046.\nAnswer: 2, 41, 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 r, and 1 m when four letters picked without replacement from drrqdrqmdqr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -3. Suppose s + 5*q = k*s - 545, -5*s + 565 = -q. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93728162?\nAnswer: 2, 11, 4260371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1597174, 3194384, 4791580, 6388756, 7985906?\nAnswer: 9583024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/22 - 380973\/429. Let s = y - -887. Is 0 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**4 - 39927*z**3\/5 + 31872*z**2\/5 + 159708*z\/5 - 127728\/5 = 0?\nAnswer: -2, 4\/5, 2, 2661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10 + -2*(-14)\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*x**2 - 1412*x**2 + 652*x**2.\nAnswer: -126*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 45.4. Let w = -6 + 4. Which is greater: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33385 - -6548. Let u = -12 + 16. Suppose -u*v + t = -920067. What is v rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -0.3425, -7.\nAnswer: -24, -7, -0.3425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 3210934.\nAnswer: 1\/1605467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/7 - -2. Which is the third biggest value? (a) 2\/15 (b) -2 (c) 2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97 + -97 + -3 + (0 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 7542*y + 283708.\nAnswer: 2*(y - 3733)*(y - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/46)\/(((-1)\/(-12))\/((-1)\/(-3))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqpqqpmmpphqmqq. Give prob of sequence pqpq.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.36 - -0.75. What is r rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 + 2*w**2 + 2. Let j(h) = -10*h**3 + 2*h**2 - 6*h - 7. Let p(a) = 3*b(a) - j(a). Determine p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.63, 2\/9, 23, -4\/7?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 8*g**2 + 2*g + 15. Let n(y) = 5*y**3 - 25*y**2 - 5*y - 44. Let i(c) = -3*n(c) - 8*p(c). Is i(-11) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 3*a**2 + 1. Let g be u(2). Suppose -2*d - 2*x + 32 + 2 = 0, -g*d + 5*x + 35 = 0. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 6, 0 = 2*a - 3*n + 1 + 5. Solve -z - 4*z - 10 = a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 4*n + 40. Let j be ((-165)\/n)\/5 + (-6)\/24. Let g be (-3)\/(-6)*0\/(-2). Solve g = -3*w - 2 + j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 5*n - n**2 - 1 + 3 + 0*n. Let x be k(0). Let o(z) = -z**2 - 14*z - 8. Let u be o(-13). Solve -5*r = -5*t + 5, -4*t + u*r + 6 = -x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*j + z - 16, 0 = -5*j + 3*z + 58. Differentiate -j*l + 13*l + 9*l - 15 + 2*l wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -139, -124, -109, -94?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/50 and 26\/5625.\nAnswer: 11250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15790, -15743, -15668, -15565?\nAnswer: -15434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 11*x**2 + 9*x - 1. Let p be c(12). Let f = -16 - p. Solve 3 = 3*v + 4*s, 0*v - 3*s = -4*v - f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)*b**2)**49\/(((b\/b**(1\/4))\/b)**(-18))**(-16) assuming b is positive.\nAnswer: b**(899\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 5*r - 3*s, r - 14 = -19*s + 16*s. Suppose 174 = 5*y + 24. What is the highest common factor of y and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -100231031233020?\nAnswer: -100231031233010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13027 = -5*p, 5*w - 65157 = p - 4*p. Let l be ((-32)\/6)\/(6\/100161). Let h = w + l. Round h to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 - -121.79. Let f = -122.0000064 + p. What is f rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5043257400 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -446*k**3 + 3 + 444*k**3 - 2 - 56*k**2 in the form s*k**3 + z*k**2 + w + x*k and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0 + 6. Suppose -2*d = -n*d + 55. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 3*o - 20. Does 66 divide t(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 + (-9 - -5) - 0\/(-6) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7*w + 10. Suppose w = -4*h + 26. Solve q + h = -5*y, 7*y + 6 = 3*y - 2*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(390\/5)*3.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(-7)))\/(s\/s**(4\/7)*s))\/(s*s\/s**(2\/7)*s)**(-30\/7)*((s**8*s*s)\/s*s*s*s**(-8))\/(s**(-4)*s**(-1\/10)\/s) assuming s is positive.\nAnswer: s**(5049\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -27 + 1 + -2 - (6 - 20 - 41)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.08 - 0.08. What is the closest to -1 in a, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, x: 1, z: 1, q: 2, i: 1}. What is prob of picking 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -356 - -7474\/21. Which is the closest to 0? (a) t (b) 0.03 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0043 * -2.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -83. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 47 = 5*p - 23, -p + 78 = -5*b. Let z = b + 42. Let s be z*1*(-1 + 2). Calculate the highest common divisor of s and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + -2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -12, -19, -30, -45, -64, -87?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 17168303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 73, 67, 59, 49, 37, 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120401521 - 215?\nAnswer: 120401302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3 + 6. Suppose h - d*h = -18. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v = -4*q, -3*q - 3*v = 0. Suppose q = -3*k + 3465 + 1137. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 25 = 0, -18*i + 17*i - 11*q - 54 = 0. Let w(d) = 4*d + 6. Let v(c) = -c + 1. What is i*w(z) + 3*v(z)?\nAnswer: z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/7 + 139130*d**4\/7 + 2*d**3 - 973922*d**2\/7 + 834780*d\/7 = 0. Calculate d.\nAnswer: -3, 0, 1, 2, 69565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9516 or -9512?\nAnswer: -9516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 4544.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-2))\/(6\/20). Let w be 1 - 5 - (-4 - 54). Let p = w - 30. Do p and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 802314 and 222024.\nAnswer: 35301816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 171, 233, 271, 279, 251?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**10*o*o*o**6)**(-2\/9) assuming o is positive.\nAnswer: o**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4988866 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3252 = 10*h. Find z such that 134*z**5 - 108*z**2 + 138*z**5 + 90*z**3 - 17*z**4 - h*z**5 - 216*z = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/25))**(-1\/2) assuming r is positive.\nAnswer: r**(-3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 772897 and 19399?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 137 + 823. Let c be ((-2)\/5)\/(1434\/u - 6). Suppose 18*m - 2218 = c*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81770263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3518*t + 4153*t + 11430 = 0 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/18 - 543\/181 - -11.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2027, -3\/4, -0.1, 2.\nAnswer: -2027, -3\/4, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 10) + 3*-1. Calculate the lowest common multiple of 49\/6 - w\/(-60) and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1473 = -44*m + 307*m + 228*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 + 6*q**4 - 13*q**4)*(0 + q + 1 + 3).\nAnswer: -4*q**5 - 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5582451 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00120751 to five decimal places.\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 20635.27.\nAnswer: -6190.581","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Express (9*n - 13*n - 16*n)*(2760 + 2537 + 11*n - 5028) as l*n + s + d*n**2 and give l.\nAnswer: -5380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 - 101 - 19*r**3 + 5*r**3 - 10*r**3 - 37*r**3.\nAnswer: -52*r**3 - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108) + 3)**2.\nAnswer: -72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 4*m = 5*d, 2*m - 15 = -5*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/165 and 103\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 1, v: 2, o: 3, w: 2, c: 4}. What is prob of picking 2 w?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2673 divided by -3\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137569, -1100609, -3714595, -8805007, -17197325, -29717029?\nAnswer: -47189599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-60))\/((-3)\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9*o - 7*o + 1 + 0.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4098021, 4098126, 4098229, 4098330?\n\"Answer: -d**2 + 108*d + 4097914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**3 + 39*p**3 - 14*p**3.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73.0480893 - 73.031. What is p rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15262599 * -0.4\nAnswer: -6105039.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*r**2 - 922*r**2 - 128*r**2.\nAnswer: -919*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*m**2 + h*m - 23*h + 26*m**2 + 95*m - 277 wrt m?\nAnswer: -2*h*m + h + 52*m + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.338519347 rounded to four decimal places?\nAnswer: -0.3385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.2 (c) -31.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 101. Let x(r) = r**2 + r. Let p(f) = 3*f**2 + 4*f + 12. Let m(t) = n*x(t) - p(t). Let o(g) be the first derivative of m(g). Calculate o(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2175, 912, -353, -1620, -2889, -4160, -5433?\n\"Answer: -u**2 - 1260*u + 3436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c + 5. Let v be m(6). Let t = 54 + v. What is the remainder when t is divided by 66\/14 - 2\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -11. Let d = f - 20. Which is the closest to -1\/2? (a) -5 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 834*m - 848*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (-3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52317 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -524 - -523.591. Let i = p - -50.409. Suppose 0 = -4*k + 3*k - 3, 2*k + 4 = -2*v. Which is the second smallest value? (a) i (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9190853 is divided by 999?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -305 or -295?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 518836*n**2 - 4150656*n + 24903872\/3.\nAnswer: -2*(n - 778246)*(n - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 3*b + 5*b + 1 - 1 + b + 0*b + 3*b - 5*b + (2 - 2 - b)*(-4 + 1 + 5) - 4 + 2*b + 4 + 2*b + 1 - 1 as d + f*b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 43*j + 1. Let q be o(-8). Let g = q + 609. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41489719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**3 + 171*v**2 - 67*v + 40. What is m(-29)?\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 8*z**2 - 9*z + 18. Let w be h(6). Let x(o) = 7*o + w - 36. Let l(r) = -2*r. What is x(l(s))?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7509.1518*3\nAnswer: 22527.4554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 251, 509, 767, 1025, 1283, 1541?\n\"Answer: 258*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 756443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*p + 71*p - 207*p - 193*p + 4860 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 16*u - 83. Calculate a(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 4*t - 6*t)*(-2 - t + 2) + (83*t - 9*t**2 - 83*t)*(5 - 3 - 3) in the form q*t**2 + j + u*t and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 106158, 212312, 318466, 424620, 530774?\n\"Answer: 106154*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 100777 (b) -1\/7 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38376, 153440, 345190, 613620, 958724, 1380496, 1878930, 2454020?\n\"Answer: -t**3 + 38349*t**2 + 24*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60911 is divided by 1272.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -138+13371178\nAnswer: 13371040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 9*q**2 + 4*q + 8. Let m be p(-11). Let a = 326 - m. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 25*i**8\/48 + i**6\/60 + 26*i**5\/15 + 24*i**2 - 3*i. Find the third derivative of q(s) wrt s.\nAnswer: 10500*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14653964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 52, 63, 82, 109, 144?\n\"Answer: 4*r**2 - r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 3\/4*a**4 + 5*a + 0*a**2 - 8 + 0*a**3. What is the derivative of k(l) wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38 - (-2 - -1)\/((-6)\/12). Let a(o) = -o**2 + 37*o - 40. Let h be a(u). Let w(g) = 3*g**2 - 3. Let n(v) = 13*v**2 - 13. Give h*n(l) + 18*w(l).\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 11) in base 15?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1095\/(-75) + 285\/19\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -522 - -2632\/5. Suppose 0 = -4*a + 2*p + 28, 9 = 3*a - 3*p - 12. Find the common denominator of a\/9 - (4 - 7) and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1166656988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 6. Let m(k) = -4*k**2 - 5. Let l(w) = w**2 + 1. Let u(q) = d*m(q) + 5*l(q). Let o(b) = -3*b**2 - 3*b**2 + 4*b**2. Determine u(o(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -15, 5, -5 in increasing order.\nAnswer: -15, -5, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 12348?\nAnswer: 12348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 796885 and 940.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -14133.0865\nAnswer: 5653.2346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let h = -3\/8251 - -8257\/16502. Which is the closest to g? (a) h (b) -2\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.971 + 0.029. Which is the nearest to m? (a) 0.2 (b) -1 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 548, 697, 844, 989?\nAnswer: 1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u + 23. Let z(k) = -17*k - 16. Let r be z(-1). Calculate the remainder when 167 is divided by g(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264032472 and 464?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09201 * 24.72.\nAnswer: 2.2744872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - x**3 + 0*x**3)*(-3*x - 3*x + 5*x) + x**4 - 3*x**4 + x**4 + 39*x**4 - 2*x + 2*x + 9*x**4 - 2*x**4 + 15*x**4.\nAnswer: 62*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + j + 2*j**2 + 4 - 4)*(-j**2 - 4*j**2 + 0*j**2).\nAnswer: -10*j**4 - 5*j**3 - 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.07 (b) 0 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 55615495*a + 55615518*a.\nAnswer: 23*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-24))\/(-3))\/((-15)\/3285*3\/(-2)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 5:28 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3 + 5. Calculate the remainder when 44 is divided by (-23)\/(12\/(-12) + 0\/k).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 4*z**2 - 5*z - 3. Let y be r(-3). Let g = y - 0. Suppose 7*d - g*d = -4*c + 192, d = 3*c + 60. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 23*u - 4. Let q(x) = -x**2 - 27*x + 6. Let p(t) = 4*q(t) + 5*y(t). Let c(i) = -i - 7. Let b be c(-3). Determine p(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + 2) - (0 - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:45 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -t - 96. Let f be (1 - 4)*(-33 - t). Calculate the highest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11158*d + 2. Let t(l) = -665*l - 11. Let o(v) = -121*v - 2. Let y(r) = -11*o(r) + 2*t(r). Determine s(y(g)).\nAnswer: 11158*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33574 is divided by 91.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 382 and 89006?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6 + 3*o - 4 + o**2 - 5. Let p be b(2). Let k = 73 + p. Calculate the highest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfffzrfffzzffzfff. What is prob of picking 1 z, 1 s, and 1 f?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*i**2*m**2 - 9618265*i*m**3 + 4*m**3 - 1574615*m**2 + 25 wrt i?\nAnswer: 76*i*m**2 - 9618265*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6*j*j)\/j**(-4\/9)*(j**(2\/5)*j)**(-26))\/((j**(1\/4))**(-18)\/(j**(-1\/9)*j**3)) assuming j is positive.\nAnswer: j**(-587\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + u**2 - 6*u + u**3 - 16*u - 18*u as p + x*u + g*u**2 + y*u**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 25 = 5*u, 2 + 13 = -2*a - 3*u. Suppose a + 25 = -5*k. Let z = k - -8. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**3 + n + 7. Give g(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 4. Let o be s(-6). Let z be ((-5)\/o)\/((-4)\/(-16)). Let v = 22 + -21. Which is the closest to v? (a) z (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.39 + -0.39. Put -2\/13, 10, h in decreasing order.\nAnswer: 10, h, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 - 2*z**3)*(3*z + z + z + (0*z + 4*z - 3*z)*(-1 + 1 + 2) + z - 3 + 3 + z - 2 + 2).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4 + 30*u**3 + 99*u**2 + 120*u + 48 = 0. What is u?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 4:08 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 306736*j. Let r(q) = 2*q**2. Give r(s(z)).\nAnswer: 188173947392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*c**3 + 3*c**2*n*t - 4*c**2*t**2 - 40*n*t**2 - n wrt c.\nAnswer: -24*c**2 + 6*c*n*t - 8*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.949 - -0.051. Let p = t - 32.00000029. Round p to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (0 + (10 - 7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -5*x**2\/2 + x + 5. Let m be o(5). Let a = -52 - m. Round a to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(3\/4))\/x)\/x)**(1\/22))**29 assuming x is positive.\nAnswer: x**(-203\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4244 = -247*k - 1091 - 6521 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y = -49*y + 54. Solve -5*f - y = -2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 4055334\nAnswer: -4055334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*g = -22, 70 - 26 = 4*t - 2*g. Suppose -7*y = t - 25. Solve n - 17 = -3*m, 0 = -5*m - 3*n + 33 - y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 2*i + 12, 0 = -5*i + 344880 - 344855 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0427, -749, -5 in descending order.\nAnswer: -0.0427, -5, -749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -2\/9, 0, 28418.3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297 - 1017 - 1430)*(0 + 0 + a).\nAnswer: -2150*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*r + 35, 18*r + 215 = 16*r - 24*y + 9*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9195 - -17250. Does 39 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8820 and 7938?\nAnswer: 79380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251317223\/138 + -1821184. Let b = r + 5\/138. Let g = b - -44. Is 0 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -152*l + 81*l + 6 + 75*l. What is b(7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*a = -10*b + 1616, 0 = -4*b - 5*a + 1614. Suppose 2*m + b = 8*j - 4*j, 0 = -2*j - 2*m + 212. Is j a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + m = -20, 3*b + 6 + 6 = 5*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 1. Let j(p) = -p**2 + 2*p + 7. Let a(x) = j(x) - 5*l(x). Let w(c) be the first derivative of a(c). Determine w(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*v**2 - 1022*v**2 + 9 + 28.\nAnswer: -292*v**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3 + 2*k - 2*k + 0*k - k. Let q be i(-6). Suppose 2*l - q*l = -y - 5, 0 = 2*y + l + 1. Are 1 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 419 - 165)*(w + 5*w - 4*w) in the form s*w + v and give s.\nAnswer: -1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26287 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 568 and 616564?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9341.34 + 9341. Sort 0.81, w, 2.\nAnswer: w, 0.81, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, r: 3, a: 5}. Give prob of picking 2 p and 2 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.95. Let s = r + 0.15. Let c = -0.20000043 + s. What is c rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(1\/26))\/r)\/(r*(r**(-33)*r*r*r)\/r))\/(r**(-4)\/r)**(-47) assuming r is positive.\nAnswer: r**(-5305\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*b**3 + 8992*b**2 + 3*b**5 - 4677*b**2 - 144*b - 4597*b**2 - b**4 + 13*b**4 = 0.\nAnswer: -8, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + (1 - -3) - (-20 - -25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let y = 17 + -23. Let v be (2 - 4\/(-1)) + 18\/y. Put v, a, 0.1 in ascending order.\nAnswer: 0.1, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0 + (4 - 3 - 3)*(-1 + 1 - 2) - 4 + 1 + 1 + 2 - 2 + 2 - 3 + 4 + 0)*(-12 + 7*x + 12).\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4*99498\nAnswer: 397992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 9.237006?\nAnswer: 9.237006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-714)\/(-6)*(-17)\/(-119)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 18.2. Suppose -2*m + 3 = -3*m. Let z be (-10)\/(-4) + 3\/m. What is the second biggest value in u, z, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Let x(i) = 10*i + 1. Let b(n) = n. Let l(u) = -5*b(u) + x(u). Determine l(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*m - 42 = -179*m. Suppose -3*y + 0*y - 3*g - m = 0, 4*y - g + 41 = 0. Let i(a) = 2*a + 16. What is i(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23760 divided by -12.\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 35. Suppose 19*m - 14*m = n. List the prime factors of (-12)\/m + -1 + 40.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -95, 1103, -1, -7.\nAnswer: -95, -7, -1, 4, 1103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 68*m**2 + 139272*m + 76640*m - 74*m**2.\nAnswer: -6*m**2 + 215912*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.603 - 1.703. Sort -0.16, k, 0.15.\nAnswer: -0.16, k, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3180939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*p**3*z - p**2 - 2*p*z**3 + 1078*z**3 wrt p.\nAnswer: -57*p**2*z - 2*p - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000421798 rounded to 7 decimal places?\nAnswer: -0.0000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 440300 divided by 25\nAnswer: 17612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 3.4. Let o be 6\/34*2\/3. Which is the closest to 0.2? (a) o (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 14*v + 4. Let o be g(-7). Solve 4*r - o*l = -28, 0 = 2*r + 3*l + 2*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*c**2 + 62*c**2 + 0 + 0 + 54*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 9*v - 8*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 = -5*d + 29, -18 = -2*m - 4*d. Solve 32 = -8*w + m*w + 3*j, 5*j - 20 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 4*x**2 - 6*x - 11. Let s be f(-5). Let y = 222 + s. What is the highest common divisor of y and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i. Suppose -d - 2*g = -6, 2*d + 5*g - 20 + 5 = i. Let v = -13239\/31 - -427. Is v at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*a = 129, -7*o = -3*o + 5*a - 523. Let m = 3 + -3. Let j be (2\/(-1) - -14) + m. What is the highest common divisor of j and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19618450.\nAnswer: 2, 5, 19, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, 6, 10, 13 in increasing order.\nAnswer: -3, 1, 5, 6, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 87, 211, 373, 561?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 23 + -11 + 5 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -574\/5. Let y(s) = s**2 - 4*s - 1. Let j be y(4). Which is the closest to j? (a) p (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, o: 1, s: 2, q: 2}. Give prob of sequence qqgg.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -333*h + 319*h + 4*h**2 + 34*h**3 - 2*h**2 to the form c*h**3 + s*h**2 + x + n*h and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*x**3 - 3*x**2 + 5*x**2 - 1 + 0*x**2 to the form h*x**2 + g + w*x + n*x**3 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0829214305 rounded to four decimal places?\nAnswer: -0.0829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i + 2*i**2 + i**2 - i**2 - i**2 + (2 + i - 2)*(-2*i + 2*i - 2*i) + 2*i**2 + 0*i**2 - 4*i**2 - i**2 + 7*i**2 + 0*i**2 + 502*i**2 - 69256*i + 69256*i.\nAnswer: 505*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43, -38, -33, -28, -23, -18?\n\"Answer: 5*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 333961614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -9 - (-20 + (4 - (1 - 7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 86 times -257\nAnswer: -22102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22 + 11*q**3 + 2*q**2 + q**3 + 3*q + 8*q**3 - 16 wrt q?\nAnswer: 120*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 143, 214, 285, 356, 427?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 167 = 14*t - 0*t + 13*v, -168*t - 23 = -172*t + 4*v + 5 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 - -1 - (-2 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**5 + 9*o**4 - 32*o**2 + 8 - o**4 - 28*o - 16 - 8*o**3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233977*x = -3*f - f - 233981*x + 28, x = -7*f + 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 24*l**2 + 579*l + 52. Determine n(-24).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 2*v**3 - 10 + 3 - v**3 + 2 in the form c*v**2 + o + q*v**3 + u*v and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134135 or -131084?\nAnswer: -134135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -16*k - 3. Is k not equal to -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.1 - 51. Let z = m - 0.1. Suppose 3 = -6*s + 3*s. Sort s, z, 0.2 in decreasing order.\nAnswer: 0.2, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 3*i + 2448 - 2460 = 0, -3*u - 12 = 3*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/((-75)\/(-280))*(-130248)\/54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z - 13. Let d be b(-5). Let s = -18 + d. Let u = s - 6. Solve 0 = p - u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 104 = j, -3*j - 38 = -x + 64. What is the least common multiple of 120 and x?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428546 take away 10136553?\nAnswer: -9708007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 20*z + 17. Let f(m) = -7*m - 2754 + 1377 + 1371. Let k(u) = 17*f(u) + 6*x(u). Let v(d) = 126*d**2. Give v(k(w)).\nAnswer: 126*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1719 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -547729 rounded to the nearest one thousand?\nAnswer: -548000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 26*a - 21. Suppose -4*l = 5*q - 16, 4*q - 3*l - 14 = -5*l. Suppose 2*p - 34 = -t, -4*p - 3*t - q + 70 = 0. List the prime factors of x(p).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11190 divided by 77\nAnswer: 11190\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -12, 52, 164, 330, 556, 848?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38772 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + -0.51. Let u be (3\/6)\/(334\/(-4)). Let q = 345\/1837 + u. What is the closest to 0 in 1, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 252390*f**3.\nAnswer: 5*f**3*(f + 50478)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 2*z - 2. Let s be v(1). Suppose 2*u = -5*q + s, 0 = -2*u + 2*q + 8 - 0. What is o in -1\/2*o**u + 0 - 1\/2*o + o**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let p(u) = 472*u**2 + 3*u + 1. Calculate p(b(a)).\nAnswer: 472*a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 + 7*c + 4. Let w(x) = -x - 10. Let s be w(-7). Let g be l(s). Are 1 and g non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/5 + 3244*m\/5 - 146496\/5.\nAnswer: -4*(m - 763)*(m - 48)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2918971 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36009932 and 6340?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -275 times 2\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*t - 4*f, f - 3*f - 12 = -4*t. Suppose -3 - t = 4*u. Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**3\/9 + m**2\/2 + 2*m\/3 - 1. What is g in l(g) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 148*i**4\/5 + 9913*i**3\/5 + 160823*i**2\/5 - 174352*i\/5 + 3468\/5 = 0?\nAnswer: -34, 3\/148, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t + 347*t + 12*t - 50*t.\nAnswer: 357*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 19190 = 1190. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = 0, 3*f + 0 + 3 = -3*a. Let n(b) = 5*b - 11. Let i be n(3). Let x(s) = 3*s**2 - 3*s**2 - i*s**2. Determine x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, h: 4, c: 2}. Give prob of picking 1 z and 1 h.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34460 divided by 8615?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.092 - -0.092. Let u = t + 25.9. What is the nearest to 2\/9 in 4\/7, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 3 - 8*u + 7 - u**2. Let j be a(-7). Suppose 0 = j*o - 9 - 3. What is the biggest value in o, -1, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -af869d - -3?\nAnswer: -af869a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 24. Let b = -22.18 - g. Let j = 0.17915 + b. What is j rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115\/854 - -1\/122. Let h = -16.2 - -16. What is the nearest to -2 in 0.5, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 8*y**2 + 19*y - 87. Give t(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3794 - -4971. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(768) + 5)**2.\nAnswer: -3840*sqrt(3) + 442393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*j - 48*j - 539 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -218372\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 724982039 and 724982038 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/5)*s)\/s)**(1\/24)*s*s\/((s\/(s\/(s*s*s**(-1))))\/s)*s*s*s*s**(-2\/3) assuming s is positive.\nAnswer: s**(257\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let w = 12 + i. Calculate the remainder when 38 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*p**3 + 369672*p - 369672*p.\nAnswer: -59*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 5. Let t(r) = 4*r + 2*r - r - 6*r - 6. Calculate -6*d(u) - 5*t(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (380 - 34*m - 380)*(6 - 2 - 1 + 3 - 6 + 4 + (2 + 0 + 1)*(0 - 3 - 4))*(2*m + 0*m - m) to s*m + l + t*m**2 and give t.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/7, 0.02, 24, -9, 40\/3, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 - 297. Let f be 3\/12 + 3\/r. Sort f, 3\/5, -3\/7 in decreasing order.\nAnswer: 3\/5, f, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*3\/12*0)\/(-1). Suppose 8 = -k + 4*t + t, u = -3*k - 3*t + 12. Suppose 19 = -2*f + 3. Put f, k, 4 in ascending order.\nAnswer: f, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219607 - -114607. What is i rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 204338363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 10861?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((4\/14)\/((-3)\/(-21)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3058.974 + -3043. Let u = -16 + z. What is u rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 6, -4, -8, 44 in increasing order.\nAnswer: -8, -4, -1, 2, 6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 135. Let z(m) = 23*m - 7. Let k be z(6). Let v = w + k. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*p - 9 = 0, 5*p = -3*o - 1 - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from geeeogeoeggeee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202648\/7 + -28867. Let f = 83 - m. Let g be (-2)\/2 + 2 + 0. Which is the third biggest value? (a) f (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 645876, 1291750, 1937622, 2583492, 3229360, 3875226, 4521090?\n\"Answer: -a**2 + 645877*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022917549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = x - 0*x + 171, 38 = v - 4*x. Suppose -3*q - 5*b = -v, -4*b = 5*q + b - 70. Calculate the greatest common factor of 126 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 1. Let u = 695 + -710. Let l be u\/6*(-112)\/(-140). Let t(s) = -4*s**2 - 1. Give l*a(h) + 2*t(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(50) + sqrt(2) + -3).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 233, -3, 2, -3\/940?\nAnswer: -3\/940","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 27436*u**2 - 1117984*u + 1145424.\nAnswer: -4*(u - 1)*(u + 42)*(u + 6818)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20799348 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose b - 17 = -c. What is the greatest common divisor of 42 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*y = 82*y + 7098. Solve -73*m = -y*m - 40 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -64. Let t(f) = 46 - 46 + 23*f**2 + j*f**2. Let p(y) = 2*y. What is p(t(z))?\nAnswer: 104*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 34, 67, 118, 193?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5792 - 1489. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (143\/65)\/((-76)\/5). Let x = o - 2\/19. Which is the closest to x? (a) 1 (b) -4\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + 117*f - 972. Let k be -5*(112\/(-20) - -5). Let a(y) = -3*y. Let u(h) = k*a(h) + n(h). Factor u(w).\nAnswer: -3*(w - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 78 - 12 = 4*l, 2*l - 32 = -3*k. Let u = k - -3. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 32398*h**2 - 2*h - 32655*h**2 + 2*h**4 in the form g*h**2 + i*h + y*h**3 + d*h**4 + l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + o**2 + 1. Let b(t) = -27*t**3 - t**2 - t - 2. Calculate -b(s) - 2*x(s).\nAnswer: 23*s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 3:46 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2326820?\nAnswer: 2, 5, 116341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 b when four letters picked without replacement from bbbokogokbo.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9439260, -9439267, -9439278, -9439293, -9439312, -9439335, -9439362?\n\"Answer: -2*i**2 - i - 9439257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 487, 559, 631?\n\"Answer: 72*r + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 143004131 (base 5) to base 7\nAnswer: 6244111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -3\/2, 157, -0.1 in decreasing order.\nAnswer: 157, -0.01, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*j - 33, -2*f = -3*j - f + 22. Suppose 0 = -2*o - 30 + 76. Let z = o + -16. Calculate the highest common factor of z and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 28218536*y\/5 - 112874128\/5.\nAnswer: -(y - 28218532)*(y - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 23 = 3*n, -11*n = -8*n + 3*c + 27 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -49533\/4, 7\/15, 1\/8?\nAnswer: -49533\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299*g*x**4 - 4*g*x**3 + 3*g*x**2 - 360*g*x wrt x.\nAnswer: 7176*g*x - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 27. Let n = 0.115 + -0.015. Put 4, n, k in increasing order.\nAnswer: n, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 73\/5 of a meter?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 4*o**2 - 20*o - 50. Let x be d(-5). Solve -20 = -15*m + x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73\/8 - 29\/8. Let o = -22.1292 - -20.1292. What is the closest to -1\/4 in o, d, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times -1.3458\nAnswer: 0.148038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42, 0.15, -13, -2\/27, -0.3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714300?\nAnswer: 2, 3, 5, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 109, 212, 313, 412, 509, 604?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 3*m**2 + 20 + 16 - 104 - 9*m + 17 as f*m**2 + h + t*m and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 1.9. Put y, 0, -2\/3 in descending order.\nAnswer: y, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(2*(-2)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -850671, -850702, -850725, -850716, -850651, -850506, -850257, -849880?\nAnswer: -849351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 3, i: 12, j: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 2) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a - 12716. Let o be (-3 - 1) + a\/(-605). Let z = o + -38\/5. Is -1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/24 - i**3\/2 - i**2. Let u be m(-6). What is the second derivative of -3*f**3 + u - 3*f - 3 wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 940393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 96 - 7*t**2)*(3*t**3 - t**3 + 0*t**3).\nAnswer: -14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-5)*((-3420)\/(-378))\/(-19).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = z + 2. Let q(w) = 2*w + 18. Let o be q(-7). Suppose o*t - 7*t + 60 = 0. Calculate the remainder when t is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87458322 divided by -29152774?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -385*r**3 - 3*r**4 + 16*r + 427*r**3 - 25*r**2 - 13*r**4 - 19*r**2 + 2*r**5 = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 5*v**2 + 2*v - 1. Let s be 7 + (0 + 3)\/(-3). Let x = s - 10. Let f be (-3 + 8\/2)*x. Give d(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*q + 1509 = 481*q - 23211 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:20 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.6 (b) 1 (c) 20.2 (d) -2\/7 (e) 4 (f) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 100*i - 19114. Calculate c(197).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -1\/2*u**4 + 0 + 1\/6*u**3 + 1\/20*u**5 + 0*u**2 + 3*u. Determine t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21495.4 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*h + 458106*c**2 + 1997*c - 119*h + 5 wrt c.\nAnswer: -4*h + 916212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -750\/11 + 68. Put -0.5, 2, d in ascending order.\nAnswer: -0.5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 7:07 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1022498.6*-0.5.\nAnswer: 511249.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:51 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhhhxrhhxx. What is prob of sequence hr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (72618\/3705)\/((-105)\/(-25)*1\/(-3) + 1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836294.\nAnswer: 2, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 1675, 3, 4 in descending order.\nAnswer: 1675, 12, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (89943 - 127*o - 89943 - 3*o**2)*(-5*o + 5*o + o)*(2 - 2 + o) as h*o**2 + z*o**3 + t*o + v*o**4 + y and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20664 and 63714?\nAnswer: 764568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7 = -2*b. Let t(g) = -13*g**2 - 13*g + 7. Let c(u) = 4*u**2 + 4*u - 2. Let y = -1823 + 1821. What is b*c(q) + y*t(q)?\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsgegaensgdednegee. Give prob of sequence age.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24418 + -34988. Round c to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = 0, n + 11 = 2*r + 2*r. Let u be 1\/2*34\/(-1). Let p(d) = -3*d - 49. Let s be p(u). Solve 0 = 5*q - 5*h + 41 - 11, -s*q + 16 = n*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962344.4 centuries in years?\nAnswer: 96234440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 6*c = 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -54416\/9321?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + q + 48 - 5 = -3*v - 168, -13*v - 889 = 4*q for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -635*s - 6. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g*g**(1\/2))\/g*g\/g**1*g*g)**(-13\/7) assuming g is positive.\nAnswer: g**(-117\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50603, -3, 0.5 in descending order.\nAnswer: 50603, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (698 + 816 - 763)*(-5*x + 2*x + 4*x)*(-3*x + 3*x**3 + 3*x - x) to k + u*x + r*x**2 + q*x**4 + c*x**3 and give r.\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 5 - 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 200010221221211 (base 3) in base 11?\nAnswer: 5497680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, g: 1, k: 3, b: 6, h: 1}. What is prob of picking 1 o and 2 k?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5726468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 892258617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, s: 6, t: 3, v: 3}. Give prob of sequence tvv.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22510043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 254\/3, 7, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18c702 (base 15) to base 13.\nAnswer: 3331a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 359 - -497. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5095375.\nAnswer: 5, 40763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268290 + 17*j - 268290.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106997 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.62 - -48.62. Which is the third smallest value? (a) 485 (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1585.7 to the nearest ten.\nAnswer: -1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 230, 529, 948, 1487?\nAnswer: 2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 - 15*u**2 - 5*u - 36 wrt u.\nAnswer: 12*u**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16066114 and 1356.\nAnswer: 96396684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**3 + 66349*y**2 + 2944758*y - 1113615.\nAnswer: (y + 45)*(y + 8249)*(8*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-6)*756\/294)\/(6\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 36*x - 75 + 2, s - 4*s - 50*x = -45*x - 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 2*w - 4. Let b(g) = -13*g**2 + 9*g + 1. What is -b(o) + 4*y(o)?\nAnswer: 17*o**2 - o - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(99) + 0 - sqrt(99))*-1 + (3*sqrt(99))**2 + -1.\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 124159010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16215425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9870\/20*20\/6. Suppose 5*u - f = -0*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9*n + 8351 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let f = p - -0.4. Let u be 1*(-3)\/12*0. Which is the smallest value? (a) u (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1425, 1\/2 in descending order.\nAnswer: 1425, 2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1454 and 32852403?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737562999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 12 = 2*z, -2*z + d + 13 - 3 = 0. List the prime factors of (z\/5)\/(2\/155).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 + 6*w. Let b be k(7). Suppose -3*d + 280 = 2*q, d - 63 = q + 42. Calculate the highest common factor of b and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84297.\nAnswer: 3, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -31379 and -94136\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x + 5. Let i = 143 - 139. Let h(a) = 17*a - 16. Let r(c) = i*h(c) + 11*p(c). Give r(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**2*k**4 + 154*i**2*k**3 - 536*i**2*k + 3*k**3 + k**2 - 1 wrt k?\nAnswer: 72*i**2*k + 924*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9*(0 - -6). Let y = -16 + q. Calculate the remainder when 41 is divided by (-272)\/y - (-2)\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 7\/5*k - 1\/5*k**2.\nAnswer: -k*(k - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 1025?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 718?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 329789016 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 6*m**2 + 6*m + 1. Give g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021554232 to 5 decimal places.\nAnswer: 0.02155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, -49, 2 in decreasing order.\nAnswer: 2, -2, -16, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -484105, 3, -2.\nAnswer: -484105, -2, 0.1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 2. Suppose 0*u + 3*u = 72. Let b = u - -28. Let m = b + -56. Determine i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4 + sqrt(1584)*-3*2 - -4*-1*sqrt(1584)*1) + -1)**2.\nAnswer: 720*sqrt(11) + 158409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7702 - 7701.7. What is the second smallest value in -4, -3, -2.9, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(-12*(-2)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -249683\/209 + 20282\/19. Suppose 527 = 4*q + 3*c + 25, 5*c - 117 = -q. Let z = i + q. Is -1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-482201)\/43949 + (-2 - (-12 + -1)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 197*q**4 + q**3 - 50?\nAnswer: 788*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2. Let k(s) = -11*s. Suppose 4*h - 9*o + 6*o + 3 = 0, -5*o + 37 = 4*h. Let l(m) = -32*m. Let x(d) = h*l(d) - 8*k(d). Determine p(x(a)).\nAnswer: -192*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j**3 - 6*j**2 + 19*j. Let d be t(16). Round d to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -16. Let d(g) = 2*g - 5. Let l be d(y). Suppose 3*h + 3*c = -l + 29, -5*h = -4*c - 85. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/9)*o**(2\/7)*o)\/((o*o**6\/o)\/o**(-6)))\/(o**5\/o*o*(o\/(o\/o**(4\/3)))\/o*(o\/o**(-1\/5))\/(o**(-1\/3)\/o)) assuming o is positive.\nAnswer: o**(-5783\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, -0.3, -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2786 divided by -2456\nAnswer: 1393\/1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.82403 from -304593697.\nAnswer: -304593721.82403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 2:09 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -314\/5. Let x = 6069 + -60533\/10. Let j = x - k. Find the common denominator of -27\/14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721607?\nAnswer: 3, 17, 33757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 5*a - 3*a)*(20 - 2 - 10)*(-1 - 2 - 2 + (0 + 0 + 1)*(-2 + 1 - 1)) to z*a + n and give z.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a + m, 3*m + 8 = -4*a - 3. Let i(x) = x - 1. Let g be i(a). Let k = 21 + -15. Solve -2*h - 4*w = g, w + k = 2*h - w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**7\/21 + 233*h**4\/12 + 1295*h**3\/6 + 399*h. Find the second derivative of g(a) wrt a.\nAnswer: -40*a**3 + 466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478355421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 11. Let k be h(9). Suppose k = 2*s, r = -4*r - 5*s + 55. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 16 + 0 + 1 + 28*q + 25*q to h + z*q and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:04 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.59 from -10551870.\nAnswer: -10551893.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68950 < 68948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 6*x**2 + 2*x - 6. Let l be v(6). Let f(c) = -15*c + c**2 + 14*c - l*c + 3 + 0. Suppose 3*z + 5 = 20. Calculate f(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3076543079 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 5. Suppose -12*w - 3*c = -7*w - 129, 3*c = 9. Let s = w + b. What is the remainder when 154 is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = 5*v, 2*v = 5*y + 11 + 5. Suppose 60 = -0*p + 4*p + l, l - 45 = -v*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 7 - 8 + 90381*t**3.\nAnswer: 90381*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + (1 - (2 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216 - 63.6. Let i = r + -121. Let v = -31.666 + i. What is v rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/4*(701 + -699).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2162 divided by -1?\nAnswer: 2162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwrwxwwrwwxwwwrwwx.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 <= 228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(((-192699)\/234)\/183).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {y: 6, b: 4, r: 3, e: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -288378 divided by 288378\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38645 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -385 + -3972025.\nAnswer: -3972410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188 less than 4.49?\nAnswer: -1183.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 + 6*k - 5. Let s be t(4). Suppose 0 = -4*j + 5 + s. Calculate the smallest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8390, -32870, -73430, -130070, -202790, -291590?\nAnswer: -396470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 744848933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1408, -2803, -4186, -5545, -6868, -8143, -9358?\nAnswer: -10501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 375 + -213. Suppose 34 = 7*q - 1. Suppose 0 = s - q*s - 5*c + y, -c + 192 = 5*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 2\/5*k**3 - 1\/10*k**4 + 2\/5*k - 6 - 3\/5*k**2. Find d such that b(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(6897)*5)\/(sqrt(3) + (-1*sqrt(108) - sqrt(3)) - sqrt(3)*-2*-5).\nAnswer: -165*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose -2*d = -5*f + 593, -n*f + 3*d + 0*d = -235. Calculate the highest common factor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:36 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -117361925 divided by 4?\nAnswer: -117361925\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 132\/133)*(8 + 124). Let k = 16871\/2660 - w. What is the common denominator of -59\/8 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14 + 11 - 1969\/(-657). Let d = 1979\/2628 + j. Solve 3*i**3 - 3\/2*i**2 + 27\/4 - 9*i + d*i**4 = 0 for i.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1738.31211 seconds?\nAnswer: 0.020119353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.19 (b) -20 (c) 44211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 69671 - 116. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6682 less than -1906.2172193?\nAnswer: -8588.2172193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -944 - -799. Which is smaller: -146 or h?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*r + 10 - 2)*(5*r**3 + r**3 + 0*r**3).\nAnswer: -12*r**4 + 72*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8120 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(4 + -1)*-1. Let t = 11 - 4. Let s = -9 + t. Which is greater: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 334 = 3*q + 42, 2*w - 234 = 2*q. Let f = -72 - q. Suppose 9*p - 7*p = f. Solve k - p = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 41 - 177*q**3 + 2*q**2 + 306*q**3 - 2*q**2.\nAnswer: 129*q**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2283 equal to -2284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 0*t**4 + t**4 + (2*t**3 + 0*t**3 - 3*t**3)*(t + 3 - 3) + 3182*t - 35088*t**4 - 6325*t + 3143*t.\nAnswer: -35090*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*d*o**3*t - 3*d*o**3 - 2*d*t**2 + o**3*t**2 - 24*o**3 + 6*o**2*t**2 + 422*o**2 wrt o?\nAnswer: 48*d*t - 18*d + 6*t**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 p when four letters picked without replacement from {k: 3, p: 1, v: 2, c: 7, i: 6}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**4\/4 - 4*m - 4. Let b(o) = 5*o**3 + o - 21. Let p = -29 + 18. Determine p*c(l) + 2*b(l).\nAnswer: -l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 265.\nAnswer: 3\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 254249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 278 and 30.43.\nAnswer: 308.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 16, -36, 0, 0.2, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - w + 1. Let t(u) = -u**2 + u - 1. Let n(m) = a(m) + t(m). Let r(z) = z**3 + 7*z**2 - 2*z - 1. Let p(h) = -3*n(h) + r(h). Determine p(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 1, w: 1, t: 1, i: 2}. Give prob of sequence li.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.50466 weeks in hours?\nAnswer: 10500.78288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5 - 5*v + 32*v**3 + 4*v**2 - 31*v**3 + 4*v. Let u be p(-4). Let l = -3 + u. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 24 - 31*y**3 + 19*y**3.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 20 = -4*d, -3*d - 17 = 5*l + 7. Let x = l - -8. Differentiate -u - x*u**2 + 2 + u wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -q + 1, -g + 2 = 3*q + 6. Let z be ((-8)\/2)\/(7\/49). Let n be (g + z\/(-8))*2. Sort -5, 1, n.\nAnswer: -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/8 + 7*j**3\/8 + j**2\/2 - 3*j\/2.\nAnswer: j*(j - 1)*(j + 2)*(j + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 452021657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:05 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + k - 5 - 20, 4*m = 4*k + 20. Suppose -4*s - 152 = -m*f, 5*f - f - 2*s = 118. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkoxjkkvj. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1 + 26*n - 45*n + 22*n - 3. Let w(j) = 16*j - 11. What is 33*f(s) - 6*w(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11898, 12644, 13390, 14136, 14882?\n\"Answer: 746*q + 11152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 3*o**6\/40 - 79*o**5\/20 + 13*o**4\/4 - 383*o**2. What is n in v(n) = 0?\nAnswer: 0, 1\/3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 48*v**2 + 25255*v + 949489. Give u(-37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -2*f**3\/3 + 1. Let c(p) be the first derivative of 0*p**2 - 1 + 0*p + 1\/3*p**3. Calculate o(c(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -82. Let j be 1\/(((-84)\/18 + 5)\/(-13)). Let m = j + h. Which is the second smallest value? (a) m (b) 0.02 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - -218646?\nAnswer: 218629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 71.932114864.\nAnswer: 71.432114864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -c - 2*c. Let v(g) = -409998*g + 4. Let a be v(c). Round a to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383 = 8*x + 399 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.3 and -8.\nAnswer: -42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267185 or 267184?\nAnswer: 267184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.0372 milligrams to micrograms.\nAnswer: 33037.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2100423 (base 5) to base 15\nAnswer: -a343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**3 - 23 - 411*r + 411*r + 2 wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 + 466*j**2 - 26910*j - 27378 = 0. Calculate j.\nAnswer: -1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47*5.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-7 - 5) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + -4*sqrt(24)*4 - sqrt(1536)*-1)\/(sqrt(768)*4 - (sqrt(300)\/sqrt(5))\/sqrt(5)))**2.\nAnswer: 98\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/(-18)*(-18)\/5. Suppose -5*r = -k*r. Let w(l) be the first derivative of l**4\/4 - l**3\/3 + l**2\/2 + 6*l - 1. Calculate w(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 98*f**6\/15 - 455*f**3\/6 - 347*f. What is the second derivative of b(t) wrt t?\nAnswer: 2352*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 334 + -20.\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 2:37 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203972614 is divided by 170?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297443971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73035 - 4?\nAnswer: -73039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/18 - (-68)\/(-72))*3212\/28. Sort w, -2\/5, -4, 0.1, 0.4 in decreasing order.\nAnswer: 0.4, 0.1, -2\/5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwl when three letters picked without replacement from {l: 1, d: 1, j: 3, g: 1, w: 4, c: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + g + 3 = -2*g, -g = 2*t - 20. Solve 2*w = -1 - t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*v + 782, -4*h = 5*v - 9*h - 990. Let l be (-16)\/(-104) + v\/13. Let g = -16 + 23. Solve 2*j - l = g*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 14. Suppose -7 + 0 = -d + 2*u, -4*u + q = 5*d. Suppose 24 = 5*r - j, -17 - 15 = -5*r + d*j. Sort 3, r, -5 in descending order.\nAnswer: r, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/6*(7588\/245 - 31).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = -5*u + 1628, -662 = -2*u + 5*h. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 13*a**2 - 25*a**2 + 14*a**2 + a - 6. Let t be w(-4). Determine o so that -24*o - 4 + o**2 + t*o + o**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7523, 7701, 7881, 8063, 8247, 8433, 8621?\nAnswer: 8811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 12. What is the nearest to 2 in h, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19009947029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-4)*((-1192)\/(-21840) - (-44)\/(-1430))?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63983041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - o - 3*o - 46*o**2.\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 104 = 0, 53*o - 31 = 8*r + 50*o + 63 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1255*j**2*z**3 - j**2 + 61*j*z**5 + 2657*z - 7 wrt z.\nAnswer: -7530*j**2*z + 1220*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/9 (b) 2 (c) -7 (d) -10 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -514?\nAnswer: -5\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 + 4*u\/7 - 48\/7.\nAnswer: 2*(u - 4)*(u + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 15283651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*v + 370 = 3*v. Sort v, 0, -3, 12 in increasing order.\nAnswer: -3, 0, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -549*i + 3461. Calculate m(6).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.033902kg?\nAnswer: 2033902000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65\/4 - 1239\/76. What is the third smallest value in 2\/5, y, -1\/2, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b - 10. Let n be ((-35)\/2 - 6\/2)*b. Let m(o) = 43*o**3 - 4*o**2 + o + 2. Let x be m(1). Which is greater: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-14) + -6)*(-189)\/243?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1750412 = -5*t. Let d = 616473 + t. Suppose 4*c - d = 5705924. Round c to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28725 divided by 1\nAnswer: -28725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*s = -747 - 4869 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jggjjygygjj.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40857 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 54*y = -0*y + 11904. Calculate the highest common factor of y and 1936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5 + 28796*v**4 - 4131239*v**3 + 203543606*v**2 - 3734843684*v + 14084032520 = 0. What is v?\nAnswer: -28939, 5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**5 + 1064*a**4 + 77756*a**3 + 924424*a**2 + 2244816*a + 1397088 = 0.\nAnswer: -126, -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*2 + -4 - (sqrt(19) + 1 + 2)) + 1 + (sqrt(475)*-2 - sqrt(19)) + sqrt(19) + sqrt(19).\nAnswer: -8*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1472*q + 455*q = 134*q - 87857 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*w - 255 = -104*w. Suppose 0 = -3*o - 4*y + 2 - 4, 5*o + 4*y = 10. Suppose -5*k = -o*k + w. Calculate the remainder when 57 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1155\/17 in -1\/4, -106, 2\/7, -7?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 15, -2*g - 9*t - 137834 = -137877 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = 2*z - 7*z. Suppose 0 = -4*j + 11 + z. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 866 + -353. Let y be z\/45 + 5\/((-50)\/4). What is the greatest common factor of y and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40937 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -6, -2 in descending order.\nAnswer: 10, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -805160, -333, -0.4?\nAnswer: -333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s + 6. Let u be t(0). Suppose u*c - 77 + 11 = 0. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, q: 4}. Give prob of picking 2 l and 1 q.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -m + 16. Suppose 2*v - 6*v - 4*r = -28, -m*r - 14 = -2*v. What is the units digit of (v\/7)\/1*(-1 + 58)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, n: 3, p: 2, d: 5, x: 4}. Give prob of sequence xdp.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8*s*s**4*s*s)**(23\/2) assuming s is positive.\nAnswer: s**(345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = 3*g, 7*g - 2*g - 21 = -2*c. Solve 3*j - 6 = -c*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13b (base 12) to base 4\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-68)\/17)\/8)\/((-290)\/(-60))\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57084 is divided by 5681?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1\/12*v**4 + 20*v + 31\/2*v**2 + 13\/3*v**3 + 0. Is p(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q + 0*q + 2*q)*(-q + 2*q**2 + q) + 4*q**3 - 4*q**3 - 3*q**3)*(-22 - 9 + 42).\nAnswer: -55*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose n*i = -i - 2. Let u = 0.37641 + -0.47641. Sort u, -0.3, i in ascending order.\nAnswer: i, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 64*h + 10*h + 253 - 883 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59290, -237118, -533498, -948436, -1481938, -2134010, -2904658, -3793888?\nAnswer: -4801706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 7:46 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11*1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33549, 54790, 76031, 97272, 118513?\nAnswer: 139754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 7. Suppose -c*n = -2*i, -5*n - 11 = -2*n + 4*i. Let t be -4 + ((-2)\/n - 1). Put 1, t, 0 in ascending order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-246)\/123*2964\/152\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*d = -4*w + 29, -132 = -4*w + 4*d. Find the second derivative of 4*p + 11*p + 30*p + w*p**3 - 9*p wrt p.\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 1039*f - 28788. Calculate x(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 1. Let p be z(-1). Suppose -2*t = -0*t + 4*c - 34, 0 = p*t + 2*c - 35. Let i be -1 - t\/(18\/28). Is i at most as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(108)*-5 + sqrt(108) + -3 + -3)**2.\nAnswer: -432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s**2 - s + 192. What are the prime factors of x(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 8. Let p(y) = 3*y**2 + 5*y + 2. Let l(c) = 16*c**2 + 25*c + 11. Let r(g) = -2*l(g) + 11*p(g). Let o be r(-3). List the prime factors of i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(324) - sqrt(324))\/(sqrt(12) + (sqrt(12) - (sqrt(108) - (sqrt(108) + sqrt(108)*2))) - sqrt(12)) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1422*d + 154978. What is r(-109)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 2.2. What is the closest to 0 in -3\/5, -1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyyyyyyoyydyyryy. What is prob of sequence yy?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p + 2*p + 840. Let u = 88 + p. Solve -u*n = -0*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + b - 5*w = -16, 2*b - 11 = -3*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**5\/60 + 11*f**4\/24 + 2*f**3 + f**2. Let j be o(-11). What is the highest common divisor of j and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*a = h, 0 = 4*h + 2*a. Suppose -4*y - i = -1097, h = -2*y - 7*i + 3*i + 566. Does 39 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 20*a + 7. Is u(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than -15553?\nAnswer: -15545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.121 - 229.3.\nAnswer: -229.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -205.486183072.\nAnswer: -200.486183072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 528666031 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 the remainder when 2666228 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72140880 and 1932345?\nAnswer: 216422640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q + 2. Suppose 0*y = 6*y - y. Suppose k - 2*t = 24, y = t - 3*t - q. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {p: 5, a: 13}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 5:01 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-18)*6\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6366\/13, -111, 3\/2?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*t**5 + 93*t**5 - 11*t**5 + t**3 + t**5 - t**3 - 3*t**5 + 2*t**5 - t**5 + (0*t**4 + 0*t**4 - 2*t**5)*(0 + 3 - 1) - 4*t**5 + 3*t**5 - t**5.\nAnswer: 163*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 9*b - 3. Let d be r(-8). Suppose -4*j = 2*v - 8, 3*v - 2*j = -d*j + 9. Solve -3*x + v*m - 6 = 0, 4*m - 2 = 2*x - x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 15*d**2 - 131051*d - 2357938. What is y(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = h - 2209, -2307 + 98 = -h - 3*u. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 16632*g**2 + 1503489*g + 2940426 = 0. What is g?\nAnswer: -87, -2, 5633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by 104\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*i - i, 0 = 4*y - i. Let f(a) = -13*a - 1. Let m be f(-3). Let h be -5*(3 - m\/10). Put h, y, -4 in decreasing order.\nAnswer: h, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s**5 + 9*s**4 - 60*s**3 + 15*s**2 + 54*s - 24 = 0.\nAnswer: -4, -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 10*h**2 + 9*h + 4. Let p be f(9). Suppose q + p + 5 = 0. Suppose 256*x + 42 = 250*x. Which is greater: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 - 35. Calculate the remainder when w is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**2\/2 + 369*l - 136161\/2 = 0.\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(120)\/(sqrt(48)\/sqrt(4)))*-3*-4)\/(-5*(2*sqrt(324) + sqrt(324)) - sqrt(324) - sqrt(324) - 1*3*sqrt(324)).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 9\/3034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -6, -2, 1, 2 in descending order.\nAnswer: 63, 2, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n + 4*s - 32 = 0, s - 9 = -n. Let t = n + 67. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Let x = 95 - 60. Suppose -w = 5*b - x, 0 = -b + 6*b - 2*w - 20. Solve 0 = -2*r - b + u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 14 - 2*l - 3 - 5 + 12. Let z be o(0). What is the common denominator of 23\/14 and -11 + 9 - 49\/z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451090 divided by 45109\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -4 (c) -2 (d) 451 (e) 92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o**13)**(1\/40)\/((o**(-1\/4))**(-3)\/((o\/(o\/(o\/o**(-1)))*o)\/o)**(1\/9)) assuming o is positive.\nAnswer: o**(-73\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-2 - -5 - (30 - 33))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 148 + 136 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -594 - -602. Solve 2*c + 4 = 5*o, -5*o + z = -2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(396)*-1 - sqrt(396))**2)*-6*-5.\nAnswer: 11820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(3 + (-5 - 0)). Let r be 2\/(-3) - 33\/(-9). Let x = r - b. Solve x = -2*o - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58159435.\nAnswer: 5, 43, 270509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1757, 1760, 1755, 1736, 1697, 1632?\nAnswer: 1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 3934.\nAnswer: -15\/3934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 + 0.14. Let j = -0.1556 - u. Round j to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 10:56 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1069501, 1069880, 1070259, 1070638?\nAnswer: 1071017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1095595 (base 11) to base 3\nAnswer: 10121001222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 3*j + 4 + 7*j - 2*j. Suppose -22*v + 17*v - 60 = -5*b, -2*v - b - 12 = 0. Calculate w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2 + 6*u**2 - 11*u**3 + 4*u**3 + 8*u**3 - 3*u. Suppose 0 = -0*j + 4*j + 24. What are the prime factors of x(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17748559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (9 - (-14 - -26))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 2*r**2 - 3*r**2)*(9 - 1 - 2)*(2 + 2*r - 2) + 0*r + 3*r**3 + 0*r.\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 18*m**2 - 8*m**2 + 3*m - 2*m + 14 - 8*m**2 as w*m + i*m**2 + c and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87, -168, -253, -342?\n\"Answer: -2*o**2 - 75*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -495 + 495.0132. Let z = k + -0.3132. Let m = 7 - 10. Which is the biggest value? (a) m (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19671331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 572868 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -77*d**2 - 4*d - 4. Let r(u) = u**2 + 7*u + 2. Let t be r(-5). Let w be (36\/t)\/(6\/(-8)). Let b be l(w). Round b to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f = -42*f - 4*z - 4096, -4*f - 2*z + 8212 = 0. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 2348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 11*h**2 - h + 13. Let x be p(11). Sort x, 0, 13, -4 in descending order.\nAnswer: 13, x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-3 - (-9 - -16))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24821.442 months in years?\nAnswer: 2068.4535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 374. What is the units digit of z(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 + 12. Suppose -2*a - 3*r + 306 = 0, -3*r + r = -a + b. Suppose -5*c + a = 12. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 963675315 divided by 5.\nAnswer: 192735063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/119 + (-12)\/(-42). Let p(q) = q - 2. Suppose -4*o = -s + 2, -5*o - 6 = -1. Let k be p(s). Sort 4, k, y in descending order.\nAnswer: 4, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/11))\/t**(4\/5)*((t**(-1\/5)\/t)\/t)\/t*t**5 assuming t is positive.\nAnswer: t**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*i*r*z**3 - 11*i*z**3 + 34*i*z**2 - 258*r*z**3 - 6370*r + z**3 wrt z.\nAnswer: 504*i*r - 66*i - 1548*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1009824 and 59\/132.\nAnswer: 11108064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/4588 and 10\/111.\nAnswer: 13764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22314 and 1098.\nAnswer: 4083462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 140468877 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1126 + 2258 - 1132 - 14*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*-1*-3 + 3*-2*sqrt(153) + sqrt(153) + sqrt(153))*-6)\/((sqrt(90)*-1*4)\/(1*sqrt(90))).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 13. Is 238\/18 + y\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-878 + 878 + 606*a**2)*(-3*a - 3*a + 3*a).\nAnswer: -1818*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.55 + 1.5671. Let i = -0.8601 + x. What is i rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491116207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.801632 millilitres?\nAnswer: 0.007801632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1559744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 3903522*j + 3903520.\nAnswer: 2*(j - 1951760)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17350, 17925, 18882, 20221, 21942?\n\"Answer: 191*z**2 + 2*z + 17157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**4\/4 - 85*m + 59. Differentiate o(r) with respect to r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.271 take away 0.0469249?\nAnswer: 0.2240751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*i**2 - 4*i**3 + 5*i**3 - 2*i**3 - 18*i**2 to v*i**2 + o*i**3 + j*i + d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -24*p**5\/5 + 14*p - 9. Differentiate j(f) wrt f.\nAnswer: -96*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 60*j**3 - 4*j**2 + j - 3. Let w(l) = 59*l**3 - 3*l**2 - 3*l - 4. Let d(t) = 4*m(t) - 3*w(t). What is the third derivative of d(c) wrt c?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1357 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340972871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1264*y - 1379. Let s(x) = 633*x - 684. Let b(a) = -2*l(a) + 5*s(a). Differentiate b(t) with respect to t.\nAnswer: 637","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:01 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 432456*d + 2922. Let s(g) = -1481*g - 10. Determine -5*l(a) - 1461*s(a).\nAnswer: 1461*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 - -7 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Solve -i - 2*x + m = 0, 3*i - 4 - 4 = -2*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182\/55 - -1493\/330. Let h be (-2974)\/(-8)*2*-2. Let i = h - -23759\/16. Find the common denominator of i and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/2 - 724383*v**3\/2 - 87438817089*v**2 - 7031125758313818*v + 950796441106799580 = 0?\nAnswer: -241506, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197\/586 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptpdcpduuutdzc. Give prob of sequence utt.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9565695 nanometers in meters?\nAnswer: 0.0000000009565695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 263 + 359 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p - 28. Factor z + 2*z - 6*z**2 - 13*z**3 - p*z**3 + 30*z**3.\nAnswer: 3*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 + -94. Let h(n) = -n + 2. Let q be h(10). Let o be (2\/(-6))\/(q + 7). Which is the nearest to 0? (a) o (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*u + 2*u**5 - u**5 - 124*u - 8*u**2 wrt u.\nAnswer: 20*u**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108141485 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 928 - 907. Suppose l + 23 - 128 = 0. Calculate the highest common divisor of p and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruu when three letters picked without replacement from uuuuuuururuu.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**3 + 34920*t**2 + 61005225*t + 121870810 = 0?\nAnswer: -3491, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2*x - x)*(-2 - 2 + 2) - x + 5*x - 2*x + (5 + 6 + 13)*(7*x + 5*x + 107 - 107) to p + l*x and give l.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 3 (c) 5 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458925462?\nAnswer: 2, 3, 773, 32983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/4*(-14412)\/3603.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -8*m - 15096. Suppose -15*r = 2*r - m. Calculate the highest common factor of r and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 1085 = 7*s. What are the prime factors of s?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/7*(-1 - 3). Let s be 0\/(-1)*(-1 + 0). Let y(w) = w - 3. Let h be y(s). Which is the nearest to -2\/3? (a) h (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-49 - -45)) + 48.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/5 + 28\/(-30). Let r = 41.1 - 41. Put r, n, 2 in descending order.\nAnswer: 2, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -o - q + 7, -5*q + 25 = 4*o. Solve 0 = -5*v + s + s + 9, -o*v = -3*s - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = -24*b - 96*b - 4157 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 44\/6)*(6314\/(-3124) + 2)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8348, -33213, -74564, -132401, -206724, -297533, -404828?\nAnswer: -528609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 222106728 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*v - g, v + 142 = -5*g + 138. Put 281, -5, -4, -3, v in ascending order.\nAnswer: -5, -4, -3, v, 281","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14139 + 0.2\nAnswer: 14139.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654627 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 22*o**2 - 32*o - 208. Let v be f(-23). Which is the fourth smallest value? (a) 4\/7 (b) 30 (c) -1\/3 (d) v (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180264716 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9675 - 10*k**2 + 8*k**2 + 4*k**2 - 4144 as i*k + a + n*k**2 and give a.\nAnswer: -13819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 3. Suppose 3*x = 3*t + 48, 3*t + t - x = -76. Let m be 2\/(-1 - t\/12). Calculate s(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-9465.47.\nAnswer: -9465.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38871*j*t + 188409*j - t wrt t?\nAnswer: -38871*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 42, 99, 178, 279, 402?\n\"Answer: 11*s**2 + 2*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -478 + 475 + -1 + 68 - (-7 - -5).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5\/2, 125205, -428 in increasing order.\nAnswer: -428, -5, -5\/2, 125205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9853 - -2?\nAnswer: -9851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 683961, 1367919, 2051877, 2735835, 3419793?\n\"Answer: 683958*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 4417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 1. Let f(s) = -2*s - 11. Let h be f(-5). Let z(m) = -2*m**2 + 2*m + 1. Let k(n) = h*z(n) + 2*x(n). List the prime factors of k(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.4 times -0.9\nAnswer: 20.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*v - 34. Let l be (2\/4)\/((-3)\/(-54)). What is the closest to 1 in -5, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -365.93959467 + -6.06020233. Let a = f - -372. What is a rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 0 + 7*l**2 - 10*l**2 + 0. Let i(s) = -s**2. Calculate 7*i(g) - 2*x(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -1\/8 (c) -2 (d) -3 (e) 20316\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2 - 13\/7). Suppose 0 = x*l - 3*l + n - 51, -4*n - 20 = 0. Let u(k) = k**2 - 4*k + 22. Does 18 divide u(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7863 - 7852. Let k(d) = 16*d + 9. Let n be k(7). Calculate the highest common divisor of n and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.12 - -6.52. Let i = b + -4.4. Which is bigger: 15 or i?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17))**2*4 + 0 + 4 - -4*4*1*sqrt(68)\/sqrt(4)) + 2.\nAnswer: 16*sqrt(17) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 7*b + 2*b**2 - 13 + 8 + 5*b - 18*b**3 as p*b**2 + m*b + j*b**3 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 426 times 5\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = j - 31 + 21, -j = 0. Let g be x\/(240\/56) - (-2)\/3. Which is the second biggest value? (a) -0.03 (b) g (c) 2\/17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {s: 3, h: 2, b: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156 - -161. Let g(a) = 48*a + 30. What is the units digit of g(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4)*(93*b + 88*b - 228*b)*(b + 0*b + 6*b).\nAnswer: 1316*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 10*j**2 + 11*j + 6. Let p be h(11). Suppose -p*a - 7 + 37 = 0. Suppose 0 = 5*g - a*v - 195, -4*v + v - 203 = -5*g. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490) - ((-2*sqrt(490) - sqrt(490))*-3 - sqrt(490) - sqrt(490)))\/(sqrt(6480) + sqrt(6480)*-2).\nAnswer: 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -789 greater than or equal to -787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 106*i**2 - 134*i**2 - 197*i**2 - 121*i**2 - 11*i**3 + 446*i**2.\nAnswer: -7*i**3 - 112*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -175 - 25. Calculate the greatest common divisor of f and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250106 + -303.1935.\nAnswer: 249802.8065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3708 and 98\/16995.\nAnswer: 203940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 150438261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -909c04 (base 13) to base 2\nAnswer: -1100110101001001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*l + 13 = 0, l + 1 = 2*n - 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 239*d - 8581. Determine f(-44).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*t = -36, 0*g + 3*t - 12 = 3*g. Let v be (-3)\/(4 + g)*2. Let o(u) = 3*u**2 - 5*u**2 - 6*u**2 + u**v. Let s(m) = -6*m. What is s(o(q))?\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 7*k**2 - 15*k - 9. Calculate the remainder when 109 is divided by u(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -967 + 967 = 123*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b9a0 - c?\nAnswer: b991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 1211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((2*-35)\/2)\/(0 + -1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -437, -0.4, -5, 6, 2\/3?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdd. Give prob of sequence dmd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19746 - 138218\/7. What is the third biggest value in n, 0.5, 0.4, -33, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 - 37 = 4*d, 4*j = -3*d + 41 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 91840?\nAnswer: 91850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -156 - 51. Let t(v) = 2*v**3 - 39*v**2 + 54*v + 18. Calculate the remainder when j is divided by t(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - -0.09. Let i = -3.6 + l. Round i to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/4110 and 131\/38634?\nAnswer: 193170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k + 35 = 0. Solve 0*c + 5*b = -c + 9, -c - 4*b + k = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*c**4 - 2)*(3*c + 2 - 2)*(30 - 7 + 25).\nAnswer: 288*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r + 0*r - 5*r)*(110*r - 61*r + 184*r) as g + u*r**2 + y*r and give u.\nAnswer: -2563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/2*(2 + (-40)\/25). Which is smaller: -1\/69 or h?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -15 - (-37)\/(-74)*24. Let k(i) = i**3 + 2*i**2 - 4*i. Let b be k(-3). Solve 4*y = -x*z, -5*y = -6*z + b*z + 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + sqrt(104) + (sqrt(104) - (-2*sqrt(104) + sqrt(104))))*-3)\/(1*sqrt(72)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*d - d = -231, 5*g - 2*d = -391. Let q = g + 90. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -259*b**4 + 701*b**4 - 9031 + 1055*b**4 + 814*b**4 wrt b?\nAnswer: 9244*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 12:09 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, v: 3, r: 4}. Give prob of sequence vvw.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 3 + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**5\/20 - n**4\/24 + 7*n**3\/6 + 696*n**2. Give x(-5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9237430 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*k - 153*k = 0, 3*h - 5*k + 2 - 3 = -10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/15 + 2\/10. Suppose -7*y = -2*y + 15, y + 978 = f*q. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, f: 4, d: 5}. Give prob of sequence pfd.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24897, -99601, -224109, -398421, -622537, -896457?\nAnswer: -1220181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 3, k: 2, e: 6, h: 3, v: 2}. What is prob of picking 1 l and 2 k?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 58 = -56*n - 366 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*g + 75 = 0, 2*r - 83 = -2*r - g. What is the highest common divisor of r and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + 18*u**2 + 8*u**2 - 2*u**2 - 2*u**2 + 6*u**2 + (-3*u + 0*u + u)*(2*u + 0 + 0) in the form r*u**2 + t + q*u and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -10*z - 22. Let l be s(-13). Calculate the greatest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -108\/79 (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3148 or -19936?\nAnswer: -3148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - q + 10377 = 0, 3819*q - 3824*q = 25. Calculate the remainder when y is divided by 288.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1681*u - 801 = -1592*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, n: 6, s: 1, l: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-189)\/72)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 8252286.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 396*l**3 + 393*l**2\/2 - 1073*l. Find the first derivative of o(p) wrt p.\nAnswer: 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 6*y + 14 = 27*x, 39*y - 35*y - 8 = 12*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147871296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*(-11)\/594)\/(13\/(-3)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-40))\/(3\/(-2)) + (-88)\/33\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266246*-2.\nAnswer: 532492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k\/((k*k*k**(-2))\/k))\/(k**(-1\/2)\/k**13) assuming k is positive.\nAnswer: k**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*y + 5 = 0, 5*i - 4*y + 1 + 44 = 0. Suppose -9*s + 9 = -6*s. Sort s, 6, i in descending order.\nAnswer: 6, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 7 + 23)*(-43*h + 68*h + 35*h) to the form c*h + q and give c.\nAnswer: 1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + 2)*2\/(-3). Let k(u) = u**2 + 6*u - 2. Calculate k(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 915 or 871?\nAnswer: 915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3417238388 to the nearest integer?\nAnswer: 58457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)**(-30\/7)\/((j**(-4)*j)\/(j*j**6*j)))**25 assuming j is positive.\nAnswer: j**(425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.5, 0, -1\/3, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11452096*x - 6856250?\nAnswer: 11452096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56173?\nAnswer: 13, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2\/3 + 4790*p\/3 - 4795\/3 = 0. What is p?\nAnswer: -959, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -2*m**3\/3 - m**2 - 2*m. What are the prime factors of p(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - 0.3. Let g be (-2)\/(-4)*11\/(22\/4). What is the closest to 1 in 5, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-0.36.\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*p - 1009*p + 6875 = -7128 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136.7 + 136.7862. Round m to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 0.4. Suppose -3*u + 5*v = 25, 3*u - v = -2 - 3. What is the closest to -0.1 in 0.5, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 195 = 6*q. Suppose q*r - 33*r - 54 = 0. Is (4 - (-18942)\/r)\/(8\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -742463*i + 9652026. Determine o(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h\/h**(3\/8)*h)*h)\/h**(1\/9))\/(h**3*h)**(-46))**30 assuming h is positive.\nAnswer: h**(65615\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2280\/(-76))\/(-1*(-9)\/9)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 172800 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (204\/(-66) - -3)\/(2 + (-75)\/33). Sort k, 0, -180, 1, -5 in decreasing order.\nAnswer: 1, k, 0, -5, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -3595, -12141, -28775, -56191, -97083?\nAnswer: -154145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 36\/5, 2, 4.5, -3\/7, 1, 5 in descending order.\nAnswer: 36\/5, 5, 4.5, 2, 1, 2\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 21. Suppose -5*z = -z + 12, -d*k + 22173 = -z. Suppose 0 = s - 11*s + k. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 2 k when four letters picked without replacement from ksmmkmmmmssms.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41600 and 22400?\nAnswer: 291200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.179753 - 94709.\nAnswer: -94709.179753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222021 + 102?\nAnswer: 222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/558 (b) -0.1 (c) 0.20943\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 5 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008426 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1005.2, -0.5, -2, -35?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407 times 43.232?\nAnswer: 60827.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20110 - 21000012211000?\nAnswer: -21000020001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2 + 69\/33). What is the tens digit of (s\/2)\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 2*c**2 + 4*c - 4. Let x be j(3). Calculate the greatest common factor of x and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*l + 3 + 29, -4*z - 3*l = 1. Which is the biggest value? (a) -0.4 (b) z (c) -5.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from {r: 1, c: 1, y: 3, b: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41660?\nAnswer: 2, 5, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 397 - 394. Suppose -2*m = -h + 124, -3*h - 6*m + 408 = -x*m. Calculate the highest common divisor of 220 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-526.271.\nAnswer: 1052.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67157449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -8*b. Let p(q) = 2*q + 1. Let v be p(b). Let c = 8 - v. Solve c*f + 3 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-90)*1*-1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, m: 2, w: 2}. What is prob of picking 1 w and 3 b?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345395 is divided by 129?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - sqrt(240)\/sqrt(4))*-3 + (-1*sqrt(180))\/sqrt(3))\/((sqrt(588) + sqrt(588) + -1*-4*sqrt(588))*6).\nAnswer: -sqrt(5)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + -1 + (15 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10581 - -31745\/3. Which is the third smallest value? (a) l (b) 0.0196 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -981855425 and 0.1.\nAnswer: -981855424.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463*s - 410076 = 427*s. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 - 5*n**2 + n**2 + 24*n**2 + 3*n**2 - 22*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:13 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 + 9. Let r = v - 204.3. What is r rounded to 0 decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xttttxxttxxtxxtxtxxx. What is prob of sequence xtxx?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d**3 + d + 1. Suppose 8*w = 4*w + 5*l - 29, -3*w = -5*l + 28. What is the smallest common multiple of u(w) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -32*k**3\/13 + 270141008*k**2\/13 - 43855857520570*k - 43855878300650 = 0.\nAnswer: -1, 16883815\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 2. Let u be o(0). Let p be (-1 - u)\/(2\/(-14)). Let m(b) = -b. Calculate the remainder when 12 is divided by m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -29*b**7\/210 + 7*b**6\/60 + 1439*b**3\/6 + 780*b**2. What is the derivative of g(v) wrt v?\nAnswer: -116*v**3 + 42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 8*x + 3*x + 16 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/(3\/(-108)). Let q = r - -36. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2. Suppose -39*m + 45*m = 36. Let h(z) = z + 17*z + 2*z - m*z. Calculate y(h(t)).\nAnswer: -392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 13. Suppose -64*t = -89*t + 250. What is the smallest common multiple of t and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r - 4*x - 95 = 0, 63 = 2*r - 3*x. What is the remainder when r is divided by (-102)\/(-136) - (-98)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 20*n = 0. Suppose -w = -p, n*w = 3*w - p - 6. Solve -1\/2*h**2 - 1\/2*h**w + 1\/2*h + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29636 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times 2651047?\nAnswer: -636251.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 32960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3 - 15. Let z = -1 + c. Suppose z*t = t + 48. Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 + -1)\/(1\/(-1)). Let x be 0\/((-4)\/(-8)*-2). Solve x = -4*z - 3 - c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 3*p**2\/2 - 5*p - 3. Let l(i) be the second derivative of 3*i**3\/2 - 7*i**2 - 3*i - 1149. Calculate -11*c(w) + 4*l(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 14*s - 104. Let j(o) = -15*o + 108. Calculate -7*j(k) - 6*x(k).\nAnswer: 21*k - 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 5*t - 107, -2*a + 5*a = -t + 34. Suppose 0 = -3*i + 2*z + 190, 308 = 5*i - 0*z + z. What is the remainder when i is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351 is divided by 520?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -54. Let h = 40.7 + z. Round h to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698080 is divided by 141501?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 + -6168?\nAnswer: -6218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/11 + 94300*q**2\/11 + 1111655544*q\/11 + 2222933904\/11.\nAnswer: 2*(q + 2)*(q + 23574)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 28*i**3 - 3*i**2 - 11*i + 10. Let o be f(4). Is (1 - o)*4*6\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1)*(-28)\/8. Let l(k) = 2*k + 19. Let s be l(z). Solve -2*i - s*a - 8 = -2*a, 0 = -3*i - 2*a - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = i + 2*i. Suppose 4*r + 186 - 26 = 0. Let q = i + r. Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*w + 3*n + 53, 0 = 2*w - n + 73. Let g be w\/8 + (-10)\/(-8). Put -5, 3, g in descending order.\nAnswer: 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 16*w**3 + w + 1. Let g be o(-1). Let r = g + 19. Suppose 4*j + 11 = r*f + 66, -1 = -j + 5*f. Solve c + j = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 411 - 154214?\nAnswer: -153503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 320 - 320. Let i(m) = -m - 11. Determine i(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -36*l**2 - 10*l + 9. Let v(m) = -180*m**2 - 57*m + 50. Calculate -11*u(g) + 2*v(g).\nAnswer: 36*g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0328 + -0.0028. Which is the nearest to 0? (a) 3 (b) u (c) 0.5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 5*a = 6*a. Let g be 76\/(-2)*5\/(-10). Solve 5*v + g = -3*z, a = 3*z - 5 - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.278966 to two decimal places.\nAnswer: -60.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -4 - (-8 - -5). Is (-376)\/(-2) - (-5 - g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 170197 and 170184 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bppypbpbbbpbbp. Give prob of sequence ppy.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50 + -1f3274?\nAnswer: -1f3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 1. Let p(y) = y. Let k be (4\/(-14))\/(-7*(-11)\/(-539)). Suppose 3*t = -4*j - 32, 2*t = 7*j - 2*j + 17. What is j*p(x) + k*w(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 - (-5498)\/5. Suppose -4*x = -14*x + s. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9177 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12786986 to the power of 1\/2, to the nearest integer?\nAnswer: 3576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*l**3 - 4462*l**2 + 2*l - 104175?\nAnswer: 15*l**2 - 8924*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 7 = a, 464 - 466 = -4*d - 2*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37477842 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1090932 by 272733.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388091, -1552650, -3493581, -6210884, -9704559?\nAnswer: -13974606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -29. Let l be 33\/(-36)*(-4)\/6. Let k = -1\/9 + l. Which is the nearest to k? (a) z (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351076148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 45. Let o be r(-25). Suppose 11 = l - t - 0, 5*l = -o*t + 15. What is the smallest common multiple of l and 184?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1044 divided by 4.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 681097 and 7.38.\nAnswer: 5026495.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4020 divided by 804.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/((d\/(d\/(d**(-12)\/d)*d))\/d)*((d**(-4\/13)*d)\/d)\/d*d\/(d*d\/(d\/d**(-16))*d))**(-28) assuming d is positive.\nAnswer: d**(-10626\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2645)\/(-75) + -35 + 11\/33?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729961 + 1459929 - 3*c**2 - 729968.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 299747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118849 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -185*n + 185*n + 42*n**3 + 2*n**4 - 21 + 0*n**4 wrt n.\nAnswer: 8*n**3 + 126*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 - 650*c - 4641. Determine m(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3398412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23817759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -443\/72 - -51\/8. Let w = 49\/110 - 1\/22. Let j = -21.227 - -0.227. What is the third biggest value in j, -0.2, v, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-26 - -8) + 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001110111101001 (base 2) in base 12?\nAnswer: -36435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from iiifffifbffiffbf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/4 - 28*a**2 + 88*a. Differentiate y(r) with respect to r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4)\/(276\/552) + 41\/(-8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Suppose 5*j - 2*d + 30 = 0, d = 2*d - 5. Let m be (-27)\/(12\/j)*2\/24. What is the closest to -1 in m, s, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in centuries?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -1\/32*i**4 + 25\/8*i**3 + 8 + 4*i - 1875\/16*i**2. Factor s(h).\nAnswer: -3*(h - 25)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -8\/7 (b) -1 (c) 13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 2*j - 9. Let m = -5712 + 5712. Determine k(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*-2)\/(sqrt(144)\/(2*sqrt(12))) + 0.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 4*a**3 + 5*a**3)*(-5*a**2 - 40*a - 1 + 40*a).\nAnswer: -5*a**5 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*c = 44*c + 3402. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -2\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - y**2 + y**2)*((0 - 2 + 0)*(-3*y**2 - 2*y**2 + 7*y**2) + y**2 - 2*y**2 + 2*y**2)*(-78 - 10*y + 78).\nAnswer: -30*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 18*y + 0 + 2.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 758 - 347. Let f = q - 155. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/56)\/((-9)\/(-6))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24 - -1 - (-2 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qln when three letters picked without replacement from caccccqnlnccca.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58943460.\nAnswer: 2, 3, 5, 461, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117183 at most 2117169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 2901*v + 21870*v + 85261*v.\nAnswer: 104230*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 x, and 1 e when four letters picked without replacement from xjrreerrjjexexrrrxr?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -47*n + 1131. Give x(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5 - 3*b + 0*b + 77*b**2 - 6*b**4 - 36*b**2 - 35*b**2 + 2*b**5 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1809393 times -4\nAnswer: -7237572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13*l**3 + 4*l**2 - 4*l + 2. Let p be h(3). Let x = -2597\/8 - p. Let w be 0\/(-1) + 1 - 1. Which is the closest to w? (a) 0.4 (b) x (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 12. Let q be -1 - -1*4\/o. Solve -g = -q*g + 4*w + 21, 5*g - w = -21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 9*w + 5. Determine y(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**6*m + 9510789*i**5*m - 2962*i**2*m + 28894*m wrt i.\nAnswer: -480*i**3*m + 570647340*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 6632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 96890 + 32319 = -10148. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 39. Which is the third biggest value? (a) j (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/1960 and -31\/10?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -248529.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 6*x - 4. Let h be k(-4). Is 16 a factor of -1*4*-4*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = 5*z - 5*f, -3*z - 2*f + f - 326 = 0. Let w = -104 - z. Solve 2*g + w = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from yuntugu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (311*u + 70*u + 251*u)*(2 - 2 + u**2) - 5 + 5 - 6*u**3.\nAnswer: 626*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q + 5. Let a be g(5). Let r = a + -1. Is r at most as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4))**2 + -1 + (sqrt(21)\/sqrt(3) - sqrt(7)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 10*x + 10. Suppose 5*l = -2*a + 9 + 36, -2*a - 5 = -5*l. Let d(m) = m + 1. Let k(s) = a*d(s) - p(s). Let t(u) = -2*u. Give t(k(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 14444644?\nAnswer: 14444640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 - -110021?\nAnswer: 112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22342002 and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*j - 14, -2*r - 3*j + 2 = -14. Suppose 4*g - p = 4, -g = -2*g - r*p - 8. Suppose g = -0*n + n. Solve y - 2*y - 5 = n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711 - 352 + 5*m - 359.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xexe when four letters picked without replacement from {f: 2, x: 15, e: 3}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/3 + 5*j**3\/3 + 27*j**2 - 8*j + 6. What is the first derivative of c(h) wrt h?\nAnswer: -8*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*j + 19, 2*j + 0*j + 3*h - 17 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18036 is divided by 1202.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 5*r**3 + 4*r**3 - 4*r**3 + 2*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*-2)\/sqrt(10))\/(sqrt(3)*2*-6).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**5\/20 - 3*d**4\/8 - d**3 - 3*d**2 - 3. Let n(r) be the second derivative of p(r). Let n(j) = 0. What is j?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/9 - 6622*d**2\/9 - 611228*d\/9 - 201536\/3 = 0. Calculate d.\nAnswer: -3216, -94, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e9fb7 (base 16) in base 6?\nAnswer: 145254011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -0.07.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 208*c**2 + 419*c + 744. Give d(206).\nAnswer: 2186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 - 5*z**2 - 6*z + 48. Determine b(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 34.23, 3\/7?\nAnswer: 34.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 22 = 4*g, 3*g - 2*y - 13 = -6*y. Suppose -g*k = 296 - 93. Suppose 5*m = 14*m + 261. Is m > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 383*k**3 - 4*k**2 - 11*k. Let u(w) = -189*w**3 + 2*w**2 + 6*w. What is 11*u(q) + 6*x(q)?\nAnswer: 219*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 75c?\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (2 - (1 - -1)). Let t(g) = -2*g - 7. Let m be t(o). Solve -6 = -m*n - 0*n + 5*s, 3*n - 6 = -s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let i(h) = 19*h + 24*h - 42*h - 9*h**3. Calculate i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2194, -17454, -58872, -139528, -272502, -470874, -747724, -1116132?\n\"Answer: -2180*w**3 + w**2 - 3*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllhhlhll. Give prob of sequence lll.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 1. Let l(j) = -9*j - 2. Suppose a + 2*a - u = -431, 140 = -a + 4*u. Let m = -145 - a. What is m*l(f) - 4*s(f)?\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 - 77. Suppose -i = -a*i + 20. Let y be 26\/(-4) + i - 2. Which is bigger: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*t - 5. Suppose 2*p + 2*p = 40. Let k = 12 - p. Solve 5*y = q - 21, -4*q - t - 3 = -k*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * -2135.9\nAnswer: 2563.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*j + 47*j - 6. Suppose -4*w = -16, 0*c + 3*w - 18 = -c. Are j and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*g - 398*g + 19058 = -170*g + 267*g for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 = -27*u - 240 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -4, 1, 29, -2.\nAnswer: -4, -2, 1, 29, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455952131 a multiple of 2943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 7 + 2822*o**2 - o**3 + 1285*o**2.\nAnswer: -o**3 + 4107*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1\/2, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times 38?\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 11 + (68 - 0) + (24 - 9 - 20).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 4*h + 100 = 0. Let q be 4\/(-10) - 92\/h. Let p(y) = -5*y + 4. What are the prime factors of p(q)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = 23*k + 77. Let u be k\/(-4) + (-45)\/(-30). Solve 0 = -3*h + 4*n - 3, n + 2*n = u*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s - 27*s + 315 = 0. Solve -s*q + 6*q = -6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1095)\/2 + (-4)\/8. Let h = -10248 - f. Round h to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160895*s**3 + 130313*s**2?\nAnswer: 965370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3549 divided by -1\nAnswer: 3549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491 = -48*p + 261*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 7*l - 461*n + 2305 = 6*l - 10*l, -3*l - 5*n = -22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**4\/24 + s**2. Let t be u(7). Let b = 18 - t. Calculate the remainder when 31 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 35*m**2 + 3*m + 8. Calculate the remainder when v(3) is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1900) - ((sqrt(19) - (sqrt(38)\/sqrt(2) + -5)) + sqrt(19)).\nAnswer: -7 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334505?\nAnswer: 5, 149, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154 - -208. Calculate the greatest common divisor of 432 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2830276 rounded to 3 decimal places?\nAnswer: -0.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 1*(1 - -2). Suppose -d + 9 = z, -40 = -o*z - d - 15. Solve z*v - v = -2*f - 11, v = 3*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmltaamllcmclv. Give prob of picking 2 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**4 + 479*s**3 + 74 with respect to s.\nAnswer: 4*s**3 + 1437*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1245\/3 - (3 - (3 - 0)). Suppose -2*a - i = -5*q + 4295, q - 955 = 3*a. Is q a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290.9 * 0.13\nAnswer: 37.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -15 - 18)*-563705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3707.125km?\nAnswer: 3707125000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450) - 6*(-3*sqrt(450) + sqrt(450))) + -3 + sqrt(648) + 0)*-3)**2.\nAnswer: -11502*sqrt(2) + 816723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/5 - 32*a**3 - 332*a**2\/5 - 168*a\/5.\nAnswer: 4*a*(a - 42)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33ef88 (base 16) in base 6?\nAnswer: 200541400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3096606 and 138654?\nAnswer: 9289818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 3:30 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12671886 - -23\nAnswer: -12671863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 139729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let p(b) be the first derivative of -17*b**2\/2 + 2*b + 7259. Determine -22*a(v) - 2*p(v).\nAnswer: 12*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = -140. Let l(c) = c**2 + 3305*c - 49755. Calculate the smallest common multiple of l(15) and d.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/1 + 2 + -2. Let u = x + 1. Let t be -1 + (-1 - u - -4). Solve z + 3*j - t = -4*z, -4*j + 8 = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31309 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/32 and -83\/448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -205*k + 3088. Determine p(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*a**2 - 126*a**2 - 50*a**2 + 136*a**2 - 20*a - 48*a**2 in the form c*a + f*a**2 + j and give f.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 3*b**5\/10 + b**4\/6 + b**3\/6 + 15*b**2\/2 - 5*b - 7. Is 19 a factor of p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*f*g*l - c*f*g - 2*c*l + 11*c + 49274*f*g*l + f*l - 21*f wrt g.\nAnswer: 2*c*f*l - c*f + 49274*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013432745 to six decimal places.\nAnswer: 0.001343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -524 + -19a?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*u**5 - 5857*u**2 - 58170*u?\nAnswer: 140*u**3 - 11714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -45. Let d = v - 9.1. Which is the nearest to -0.6? (a) d (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (104\/78)\/((-1)\/(-55950)). Round q to the nearest one thousand.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154814 and 13166?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -27. Suppose -7 = -5*h - w. Solve -m = p + 3*p - h, 5*m + 5*p = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 6, 3446, -0.04786?\nAnswer: -0.04786","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 12:45 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o = b + 31*o - 10185, -2*b + 20397 = o. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49.44 + -52. Let q = 0.06 + k. Let y = q - -2. Put -5, y, 2\/5 in decreasing order.\nAnswer: 2\/5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 - 16 - 2*s**2 + 30 + (0*s - 4*s + 5*s + (1 + 1 - 3)*(2*s - 3 + 3) + 3*s - s - 4*s - 2*s + 0*s + 3*s + s + 2*s - 4*s)*(67056 - 67056 - 806*s).\nAnswer: 2416*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*a**4\/2 - 9*a**3 - 57*a**2\/2 + 36*a - 6 = 0. Calculate a.\nAnswer: -2, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.9445 + -32.9600123. Round x to four decimal places.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**3\/6 - 7029*g. Let y(a) = 8453*a**2. Give y(i(r)).\nAnswer: 8453*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 6) to base 12\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 35*i**2 - 73*i - 37.\nAnswer: (i - 37)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or -9?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*(-3 + 3*(0 + (sqrt(288)*-1 - sqrt(288)) - (sqrt(288) + 0 + -5))))**2)*-5.\nAnswer: -117385 + 12960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 1633?\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*r)*(0 + 0 + 3)*(-2 + 2 - 3)*(-1 + 0 - 6) + 0*r + 0*r + 2*r to the form a*r + x and give a.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 45 + 109)*((-4 + 1 + 1)*(-2*c + 1 - 1) - 3*c + c + c + c + 2*c - 4*c + 5 - 5 + 4*c).\nAnswer: 648*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-8) - (-340)\/16. What is the highest common factor of t and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*x - 4 + 11 - 2 - 5.\nAnswer: 60*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 1, t: 4, a: 3, p: 5, i: 1}. What is prob of sequence niia?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -269, -2, 0, 2 in decreasing order.\nAnswer: 2, 0, -2, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/16, -0.2 in increasing order.\nAnswer: -5, -0.2, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 8 + 40. Is (260\/(-14))\/(((-12)\/(-14))\/t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17298487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**3 + q**2 + 3*q + 2. What is the tens digit of m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188b526 (base 13) in base 6?\nAnswer: -444315405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -29\/37664?\nAnswer: -29\/37664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/42 + (-3 - 0 - -1). What is the second smallest value in n, 6\/11, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -12\/5, 2, -4, 5, 110\/141, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -746.862 - -11.562. Let i = m - -741. Let v = 2 - 3. Is i greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 d, 1 p, and 1 m when four letters picked without replacement from {m: 2, d: 2, g: 1, x: 1, p: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-15)*(((-14)\/102)\/(-7))\/1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 135014, 0 in decreasing order.\nAnswer: 135014, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Suppose -5*w + 4*d - 3 = 0, -w + 4*d - 4 = g*w. Which is the closest to w? (a) 0.4 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*h - 336*h = -46. Solve -1\/6*j + 1\/6*j**h - 1\/6 + 1\/6*j**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let n(r) = -2 + 2 + t*r. Let o(m) = -4*m**2 + 0*m**2 + 0*m**2 + 2*m**2 - 3*m**2. Calculate o(n(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 (base 9) in base 2?\nAnswer: 1001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 132?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, q: 7, o: 7}. Give prob of picking 4 i.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -836, 5, 0.5, -3, -1, 3, 25 in descending order.\nAnswer: 25, 5, 3, 0.5, -1, -3, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45 and -0.05821?\nAnswer: 2.61945","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 6*j - 10. Suppose -2*x - 5*k = -27, j*k - 3 = x - k. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 4*v**2 + 3*v - v + 4*v + 3*v**3. Let y = 23 - 24. Let o(i) = i**2 + i. Give y*j(c) + 4*o(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19*u + 1005. List the prime factors of z(-44).\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1870 - -69.460525267.\nAnswer: -1800.539474733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010879 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -32) + -54 - -39\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/42975 and -97\/4950.\nAnswer: 945450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 469 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -261643 + 130643. Round q to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 731, 665, 619, 593, 587, 601, 635?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/68400 and -41\/2?\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2. Let d(s) = -s**3 - s**2 + 2. Let j be d(0). Let p = -22 + 24. Let b(v) = v**2 + 0*v**j + 2*v**p - 5*v**2. Calculate b(o(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 + 3 + -13 - (-46 - -32)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -2\/11, -4\/7, 1\/5, 2\/17, -96391?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -672 - -793. What is the smallest common multiple of q and 55?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*m**3 + 13*m**3 + 6*m**3)*(0 - m + 0) + 5 - 5 - 4*m**4.\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73049.17 millilitres to litres.\nAnswer: 73.04917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/71758 and -97\/1808.\nAnswer: 64869232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4761722773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 10. Let a be l(8). Suppose 2*f + 36 = 6*f - 4*c, -3*c = -4*f + 41. What is the greatest common divisor of a and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17429 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-278 + 263)\/((-2)\/(-2) - (-2)\/4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11 + 20*b - 46*b**3 + 16*b - 42*b + 44*b**3. Let u(r) = -4*r**3 - 13*r - 23. Determine 13*d(w) - 6*u(w).\nAnswer: -2*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4223\/51 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.3, -1, -7, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**7\/42 + n**4\/8 + 179*n**3\/6 - n**2 - 46*n. Differentiate s(f) wrt f.\nAnswer: -20*f**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -s + 6*w + 471, 4*s + 5*w - 1863 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - h = -3, -4*h + 7 = -3*f + 2. Let b(x) = 2*x**3 - x**2 + 3*x - 2. Let i be b(f). Solve 0*j - i*j = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 11:42 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppj when three letters picked without replacement from nnplpllljwn.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**3*s + 50*r**2*s + 40*r + 2585*s - 1 wrt r.\nAnswer: -6*r**2*s + 100*r*s + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:00 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 - 0. Let z = -36 - l. Let a = z + 176.99858. What is a rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9 - 0.9. Let f be 8\/(-12)*(-1 + 7). Let b(t) = t**3 - 4*t**2 + 2*t + 4. Let o be b(3). Put f, k, o in ascending order.\nAnswer: f, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.6 + -9.7. Put q, 3, -5 in increasing order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224 times -1\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*y - 11121 = -174*y for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6227, -11283, -13941, -13001, -7263, 4473, 23407?\n\"Answer: 200*p**3 - p**2 - 6453*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13537028.35 to the nearest one hundred thousand.\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 57 = -l + 4*k - 16, 5*l = -2*k + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156866589 - 5.\nAnswer: -156866594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(208)*2)*6.\nAnswer: -12 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, j: 4}. What is prob of sequence qqqj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3\/8 + 187*p**2\/2 + 445*p\/8 - 149\/4 = 0. What is p?\nAnswer: -149, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(6\/25))**(-37)*(k**(-2))**(-8)*(k*k*k\/(k\/k**(2\/3))*k*k)\/k**(-3\/5) assuming k is positive.\nAnswer: k**(1151\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**2 + 32*o + 131. What is the tens digit of u(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 4*b**2 - 6*b**2 + (-4*b**2 + b**2 + b**2)*(-1 - 1 + 1) - 2 + 2 - 2*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x - 3. Let r be g(-2). Suppose -4*w - 3*l = 40, -r*w + l + 10 = 60. Let a be 3\/(9\/w)*-3. Calculate the greatest common factor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2\/9, 17\/6547776 in decreasing order.\nAnswer: 17\/6547776, -2\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x. Let d(k) = -4 + 4 - 15*k + 17*k. Suppose 9 = m + 4*v, 8*v - 12*v = 5*m + 19. Let l(a) = m*d(a) + 3*c(a). Let q(p) = -13*p**2. Determine l(q(s)).\nAnswer: 65*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.4404 times 24?\nAnswer: -706.5696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -l. Suppose l*u = 3*b - 15 - 7, -2*b + 23 = -3*u. Calculate the greatest common factor of b and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36203, -36241, -36325, -36479, -36727, -37093, -37601, -38275?\nAnswer: -39139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 28*k - 21. Let a be y(-21). Let g = a + -51. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*r**3 + 25*r - 358.\nAnswer: -12*r**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3275295, 13101187, 29477675, 52404759, 81882439, 117910715?\n\"Answer: 3275298*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 73?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75839*-38.2.\nAnswer: -2897049.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2335 and 20.\nAnswer: 9340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/30 and 83\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + (-2 + 3 - 2). Let o(u) = 2*u**3 - 14*u**2 - 13*u - 3. Let v(s) = s**3 - 7*s**2 - 7*s - 2. Let h(d) = -3*o(d) + 5*v(d). Is h(g) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7913*k**2 + 15304*k**2 - 7325*k**2.\nAnswer: 66*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*53\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -f - 0*f. What are the prime factors of f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 278516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 4. Let h be o(-3). Let v be (11 + -10)\/(h\/114). What is the highest common divisor of 38 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*j**3 + 4*j**3 + 0*j**3)*(0 - 4 + 3) + 3*j**3 - 8*j + 8*j)*(0 - 3 + 4)*(33 + 1 + 8) in the form t*j**2 + u*j + w*j**3 + s and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.59 and 0.0019371.\nAnswer: -0.024388089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3879 = -13*j + 749. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0.00262.\nAnswer: -1.00262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 802267*l + 49409 wrt l.\nAnswer: 802267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -44, -64, -82, -98?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5680 by -5.\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7417212.\nAnswer: 2, 3, 11, 83, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*p + 568 = 70*p - 1379 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -89*u**5\/10 - u**4\/12 - 296*u**3 - 908*u. What is the second derivative of h(a) wrt a?\nAnswer: -1068*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/15)\/4)\/((-3)\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 5*i + 4. Let b be d(-4). Suppose b = -5*p - 18 + 43. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:38 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**26*p*p**27)**23 assuming p is positive.\nAnswer: p**1242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 10:39 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 5, 6, -4 in increasing order.\nAnswer: -4, -3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-4 + (4 - 0)). Suppose 0*y + y - 4 = a. Suppose -10 = -5*i + 5*m, -i + 4*m = -0*i + 4. Calculate the highest common divisor of y and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/6, -1, 2.7, -4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = 2*j + 4, -2*j = -4*i + 12. Let d be j - (-6)\/(-3) - -2. Find the second derivative of -d*c + 2*c**5 - 2*c**5 - 4*c**5 wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 4*n**3 - 4*n + (6 - 6 + 19*n)*(2*n + 9*n - 4*n)*(3*n - 4*n + 2*n + 1).\nAnswer: 129*n**3 + 133*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-44 + (16 - (6 + 1)) + (-11 - -8)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 19. Let v be h(24). Let n be (-15)\/(3*v\/15). Differentiate 19*p + 36 - n + 37*p - 14*p with respect to p.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 2 (b) 16009 (c) 0.3 (d) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6.3507 times 0.014\nAnswer: -0.0889098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(1216)) + 5 + 1 + sqrt(1216) - (((sqrt(1216) + 0)*3)**2 + (1*2*sqrt(1216))**2).\nAnswer: -15802 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 735 = -13*r. Let u = 271 + r. Does 49 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357482 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122210010102011 - 212?\nAnswer: -122210010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g + 3*j - 4, -2*g = -5*j - 4. Find the third derivative of -41*o**g + 43*o**2 + 3*o**4 - 2*o**4 wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -3. Let h be -2*(i + 4)*-1. Suppose -c + h = c. Put -4, c, -3 in increasing order.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1080)\/(-840))\/(4\/14).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3396.589.\nAnswer: 3391.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h - 7. Suppose -h*s - 3*s + 60 = 0. Calculate the greatest common factor of s and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1390 + 7*t - 1390)*(-5*t + t + 2*t).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*q - 1203, 80*q - 77*q - w = 725. What is the highest common factor of q and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/371, 1 in descending order.\nAnswer: 1, 2\/371, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1998698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 + 14*t + 39. Give q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 10, -5, 24, -532, 2 in ascending order.\nAnswer: -532, -5, -4, -3, 2, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 202 = -2*p + 213, 6 = 3*p - 3*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8 + 7)*1)\/(1\/5). Does 36 divide (0 + 2\/s)\/(2\/(-1570))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 56517\/15938?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d**2 - 15*d - 14. What is the remainder when 317 is divided by p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10. Let z(f) = -f**2 + 2. Give -2*d(n) + 10*z(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5407 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -363 + 2?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12390.\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728 and 15336?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2948 take away 0.5?\nAnswer: -0.2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*f**5 + 96*f**4 - f**3 - f**2 + 15589*f - 1.\nAnswer: 3840*f**2 + 2304*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221446, -221447, -221450, -221455?\nAnswer: -221462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 4. Let w(q) = -4*q + 1. Let h(x) = -x. Let p(r) = f*w(r) + 4*h(r). Let i(z) = -5*z + 3. Determine -4*i(t) - 6*p(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*k = -63, -3*p - 16*k - 92 = -12*k for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*m - 133*m = -14924 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 848, 893, 938?\n\"Answer: 45*n + 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - sqrt(119)\/(sqrt(28)\/sqrt(4)) - (0 + sqrt(17) + -4).\nAnswer: -sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 + -1)) + (79 - 79)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o**2 - 6*o + 9. Suppose -2825*c - 29 = -2841*c + 35. Let t(f) = -7*f**2 + 3*f - 4. What is c*j(k) + 9*t(k)?\nAnswer: -3*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -8*u + 7*u + 3*i, 4*u + 3*i - 1773 = 0. What is the remainder when u is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p\/p**6*p)\/p)\/p)*p)\/(p**4\/p))**(-2\/37)\/(p\/p**(4\/5)*p**(-1)*(p**(2\/7)\/p)\/(p*p**(-2\/3))) assuming p is positive.\nAnswer: p**(6128\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 3058?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 3:39 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 62. Suppose -2*z + j + 11 = z, -3*z + n*j + 3 = 0. Suppose -g + 16 = -p, -5*p + 53 = -3*g + z*g. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/(-2))\/((-3)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.43 - 0.03. Let w = 238 + -194.2. Let f = -44 + w. Which is the third smallest value? (a) 0.2 (b) -0.4 (c) y (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 872*h + 865*h + 15 = 0, v = 4*h - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**4\/8 - c**2. Let q(i) be the third derivative of -i**5\/60 - 59*i**2. Give q(w(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42133, 41267, 40401, 39535, 38669, 37803?\nAnswer: 36937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/60 - 13*h**2. Let t(i) = 28*i - 28*i - i**2. Calculate f(t(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5135773837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*s = 3011, 5*z + 6*s - 3*s - 3012 = 0. Let d = 921 - z. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 23*z + 5 = 22*z, 0 = -2*v + z + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3098108 greater than or equal to 3098106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37 + 14aced5?\nAnswer: 14ace9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**4 + 1330*f**3 + 51060*f**2 + 484670*f + 434945 = 0.\nAnswer: -17, -1, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*32 - (-176)\/(-22). Solve -6 + 2 = -4*x - 2*f, x + 4*f = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.27 (b) 3\/4 (c) 1226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3397194 and 2226?\nAnswer: 23780358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -31. Let u = 12 + n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 32*s + 315. Let l be v(-10). Let j(g) = g**2 + 6*g + 16. Let w be j(l). Solve 4*u - u - 25 = -4*b, 2*b - w = -u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42840 and 560?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = 0, -27*n + 24*n - 18 = 3*i. Let j(o) = -3*o + 3. Let r(l) = 5*l - 7. What is n*j(f) - 4*r(f)?\nAnswer: f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from {w: 3, b: 1, p: 2, f: 2, l: 3, c: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/3? (a) -47 (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 3942466.\nAnswer: 98561650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 10 - 23. Let o(u) be the second derivative of g*u + 1\/3*u**3 + 0*u**2 + 0 - 1\/6*u**4. What is the second derivative of o(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(468) + sqrt(468) - sqrt(13))**2 - (-1 + (sqrt(52)\/sqrt(4))**2 + sqrt(13)).\nAnswer: -45*sqrt(13) + 1565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(sqrt(7) + sqrt(42)\/sqrt(6)) + sqrt(3) + sqrt(147)*-1)*6)**2.\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(465\/248)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4269*b**4 + 4*b**3 + 29*b**2 + 130807149*b?\nAnswer: 51228*b**2 + 24*b + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/184736 and 19\/92368.\nAnswer: 184736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 - 1)*(-4*s + s + s) + 0*s - 3*s + s)*(-3 - 9 + 5) to the form q*s + t and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, d: 4, n: 6}. What is prob of sequence wwnn?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, -55, -9\/7, 16\/209 in decreasing order.\nAnswer: 2\/25, 16\/209, -9\/7, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23063863 - -1318.82160137. Let n = p - 1319. What is n rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 12*j**2 - 1423*j + 20296. Determine x(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.1258 * 17.93\nAnswer: 56.045594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 186225533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 22 = -m. Is 7 a factor of (-2 + -10)*m\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 6 - 10)*(z + 0*z + 0*z) + (3 - 2 + 0)*(3 - 3 + z) + (-1 + 2 - 2)*(-z + 6*z - 3*z) to w*z + p and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -82. Let i = 18.5 + j. Which is the smallest value? (a) -1\/8 (b) -4\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*i - 71. Let c = 13 - i. Solve 3*k - c + 12 = 4*r, -2*k = 4*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63182 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(36\/(-8)) + 4. Let c be -16*(-1 + -3 + 3) + -2. Find the second derivative of -7 - 16*w - b*w**4 - c*w**4 + 7 wrt w.\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21125, -42252, -63379, -84506, -105633?\nAnswer: -126760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31211 is divided by 1819?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. What are the prime factors of 465\/30 - (-1)\/x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94809, 94830, 94839, 94836, 94821, 94794, 94755?\n\"Answer: -6*v**2 + 39*v + 94776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100688350 to the power of 1\/2, to the nearest integer?\nAnswer: 10034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -9*n - 0*n - 151. What is the closest to -3 in 1, 2\/11, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + 469*j + 14130. What is m(-25)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37634 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*s**4 + 18?\nAnswer: -136*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -5. Let h(p) = -3*p - 5. Let b(o) = -o - 2. Let q(v) = -7*b(v) + 2*h(v). Let y be q(t). Solve -g + 2 = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -53\/8 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 169*a - 1434. What is t(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74373 is divided by 2972?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 2:19 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 769681.53 minutes in days?\nAnswer: 534.5010625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 1. Suppose 3*l + 34 + 8 = 0. List the prime factors of a(l).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*t**2 + t + t**3 + t - 304*t**2.\nAnswer: t**3 + 225*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7666 + -23000\/3. Which is the closest to j? (a) 5 (b) 1\/2 (c) -2\/101 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 268921 - 134458 - 134447.\nAnswer: 2*m**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -646235*v**2\/3 - 646238*v\/3 - 1.\nAnswer: -(v + 1)*(646235*v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5933, 11846, 17771, 23714, 29681, 35678, 41711?\n\"Answer: m**3 + 5906*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*h + 2*i + 11, -3*h + i = 0. What is the closest to h in -0.1, -17\/4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 9. Let v be 2\/4 + 11\/2. Let q be m(v). Differentiate -d**3 + q - 3 - 2 with respect to d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39593 = -25*j + 16657. Suppose -3470 = -10*w + j. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31\/7 - 169\/35. What is the closest to k in 5, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -43, -50?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/15 (b) 5 (c) 0.4 (d) -1\/2 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-62)\/20 + (-468)\/(-780))*(-8)\/50. Factor -2\/5*t**2 + 4\/5 + v*t.\nAnswer: -2*(t - 2)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4854195, 19416669, 43687459, 77666565, 121353987?\nAnswer: 174749725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161bc (base 14) to base 6.\nAnswer: 1103430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(2\/5)*g*g**(2\/9)*(g**1)**(6\/5) assuming g is positive.\nAnswer: g**(136\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-j + 3*j + 0*j) - 20*j + 23*j + 5 + 7*j + (2 + 2 - 2)*(-j - j + 0*j).\nAnswer: 8*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 3*u**2 + 0*u**4 + 2*u**4 - 4*u**3 + 0*u**2 in the form f*u**2 + q*u**3 + j*u + n + k*u**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*w - 540 = -20*w - 39*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:18 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -525 - 1299. Calculate the highest common divisor of 6432 and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(-1*(sqrt(363) + 1) + -3*sqrt(363)*-1).\nAnswer: -88*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-16)*(1 - 1). Let k(z) = 13*z**2 - 3*z + 1 - 12*z**2 + j*z. Let i be k(4). Solve x = -0*x + i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {n: 3, x: 2, p: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 294 + 806 = 0. What is the remainder when i is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5518 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**2 - 4*a - 2. Is g(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.18, 0, -0.08, 0.025, 6?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 76 = 3*v, 3*p + 4*v + 283 = 6*v. Let h = p - -183\/2. Sort h, 0.3, -1\/6.\nAnswer: -1\/6, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 6*a + 0*a)*(-2 + 0 + 3)*(-1 + 2 - 2)*(-2*a + 3*a - 5*a)*(1 + 2*a - 1).\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e (base 16) to base 4.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156585 and 358065?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 781 = -2*y + 754, -3*a = -2*y - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 851 + -14. Calculate the remainder when o is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 + 112*u**3\/3 - 12559*u**2\/3 - 12670*u\/3.\nAnswer: u*(u - 70)*(u + 1)*(u + 181)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*p - 522, 4*p + 813 = 7*p - 4*c. Let g = 569 - p. What are the prime factors of g?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2. Let l be j(0). Let x(r) be the first derivative of r**4 + l*r**4 + 6 - 2*r**2 + 0*r**4 + 0*r**2. Factor x(t).\nAnswer: 4*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 2112356499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*b - 11. Let a = -4 + b. Suppose 0 = -i - 0 + a. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 30 = 3*j. Let q(v) = v**3 - 7*v**2 + 6*v - 1. Let h be q(j). Is h*(649*-1 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102110101 (base 3) in base 5?\nAnswer: 231403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7615, -7544, -7473, -7402, -7331?\n\"Answer: 71*h - 7686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f*f*f*(f\/f**(-14))\/f*f))\/f)\/(f*(f*f\/(f\/f**(16\/3))*f)\/f))\/(f*f\/(f*f**(-2\/31))*f**(-2)\/f) assuming f is positive.\nAnswer: f**(-2083\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 15 (b) 3 (c) 0.2 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0 + 0)*(-84*a**2 + 52*a**2 - 76*a**2 + 3).\nAnswer: 432*a**3 - 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -4 - 3)\/(1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 5, -0.4, 8077?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dzzggzzzgzzdgzdzggg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/10 (c) -4\/3 (d) -0.832\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, g: 2, a: 1, u: 2, i: 3, r: 1}. What is prob of sequence uw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 + 2*j**2 + 2*j**2)*(-j**3 + 0*j**3 + 4*j**3) + 182*j**3 + 11*j**5 - 182*j**3 + (-j + j**3 + j)*(-82*j + 82*j + 4*j**2) - j**5 - 4*j**5 + 7*j**5.\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, p: 1, z: 1, d: 7}. Give prob of picking 1 w and 1 z.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, 28097, 0.5, 2, -28?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3778*i - 6343*i + 3190*i - 2.\nAnswer: 625*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*u + 2)*(5 - 5 - 1) + (-3 - 2 + 1)*(32 - 36*u - 32).\nAnswer: 142*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29620597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + o = -4*j - 6, j + o = 9. Suppose -5*r - 4*b + 142 = 0, -j*r - 5*b + 173 = 33. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -360 + 1184. Let r = k - 824. Let m = -4 - -7. What is the biggest value in m, r, 0.3, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - f**2 + 5*f**2 + 3*f**2 to k*f + j + h*f**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n**4 - 2*n**3 + 2*n**2 - 4*n. Let t(s) = -18*s**4 - 5*s**3 + 5*s**2 - 9*s. Let k(h) = -2*t(h) + 5*z(h). Find the second derivative of k(y) wrt y.\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r + 2*r**3 - 3*r - r - 2 - r**2 + 7*r**4 - 8*r**4 to the form q*r**3 + t*r**2 + x*r**4 + a*r + w and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2305802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/2 - (0 - -802). Let n = 538 + j. What is the tens digit of ((-2)\/6)\/(262\/n + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 79.42 take away 0.5?\nAnswer: 78.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9727462, -19454925, -29182388, -38909851, -48637314, -58364777?\nAnswer: -68092240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 43300 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -504 + 504. Suppose -4*c + 2195 - 2111 = x. Calculate the lowest common multiple of 180 and c.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/10 + (-5 + -4729)*(-19)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 984862 or 984894?\nAnswer: 984862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11496966 and 294794?\nAnswer: 11496966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 139, 332, 613, 988, 1463?\nAnswer: 2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/10 - (-3)\/2. Let i be 13\/2 - l\/2. Solve i*w - 20 = -5*b, 4*b = 3*w - 2 - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -1, 15\/7, 13?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 1377.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h + 16. Let c(x) = -53*x + 96. Let j(q) = 6*c(q) - 34*r(q). Suppose -227*u = -229*u - 10. Is 24 a factor of j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28 and -122.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 1 (b) -0.1 (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -56*x - 62. What are the prime factors of p(-19)?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-52 + 27 + 19)*(-a**2 + 2*a**2 - 2*a**2 + (1 - 1 + 2*a**2)*(-4 + 1 + 1) + 1 - 1 - 2*a**2 - 2*a**2 - a + a).\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.27 - -1030.67. Round r to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(sqrt(1100) + 3*(sqrt(1100) + 1)) - ((5 + -6*sqrt(539)*2)**2 + 2).\nAnswer: -77655 + 680*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 24) + 6*((-16)\/168 - (-38)\/7)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.09 + -14. Let o = 0.39 - i. Let d = 3\/19 - -1\/114. Which is the second smallest value? (a) 5 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 4*d - 23*d - 416 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 273\/(-234) - 2\/(-3). Let m = 11 + -16. What is the closest to 0.3 in m, -2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -368 times -0.2\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*n**3*q - 48*c*q - 2*c*r + 5*n**3*q*r - 33*n**3*r - n**3 wrt q.\nAnswer: 2*c*n**3 - 48*c + 5*n**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -743 + 1503. Suppose -5*y + 5*p = -x, -p = 11*y - 8*y - 464. What is the greatest common factor of y and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4152 - 42?\nAnswer: -4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4478524 at most -13435574\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0491 times -0.797965?\nAnswer: 0.0391800815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 + -87. Let g be v + ((-1)\/4 - (-52)\/16). What is the tens digit of (365\/10 + -2)*g\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/21)\/(r**(4\/5)*r*r))**(2\/7) assuming r is positive.\nAnswer: r**(-608\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -9. What is the least common multiple of (3 + -7)\/((-2)\/5) and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 76*z = 72*z + 23, 0 = -5*o - 5*z + 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057.74625 rounded to 1 dp?\nAnswer: 2057.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 1162*x**6 + 508*x**3\/3 + 3*x**2\/2 - 3040. Find the third derivative of y(q) wrt q.\nAnswer: 418320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7892*s**2 - 15775*s**2 + 7882*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u - 24. Determine c(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*n + 9, 5*l + 5*n - 9 - 6 = 0. Which is the closest to l? (a) -3 (b) -6\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1699, 3408, 5123, 6844, 8571, 10304, 12043?\nAnswer: 13788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3145\/(-111) - -27)\/(922\/186 - 5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 136, 143, 154, 169, 188?\n\"Answer: 2*i**2 + i + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, o: 4}. Give prob of sequence tot.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 46. Let k(n) = -47. Give -2*h(j) + 3*k(j).\nAnswer: -2*j - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - -3. Suppose 0*u = 5*u - z. Solve 3*b + 9 = 2*v - 2*b, 5*v + 24 = -u*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 6*q + 0*q + 16 + 5*q.\nAnswer: -q + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -6*o - 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -582855 divided by -14945?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p + 11*p - 6*p - 18*p.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191740*z**2 + 104358*z.\nAnswer: 383480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/13 (b) -4 (c) -0.9 (d) 262.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 12 + 71. Let j = -56 + m. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 + 39*k + 10. Let i be o(10). Let d be (50 + -53)\/(i\/(-2) - 1). What is the highest common divisor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 4. Suppose -q = -6*q + g. Which is the nearest to 0? (a) -5 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*18)\/4 - 0\/4. What is the second derivative of -2 + 49*j**5 - 38*j**5 + u*j**5 + 1 + 4*j wrt j?\nAnswer: 760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/(-1)*(-24)\/(-16). Let u = -75\/7 - -396\/35. What is the closest to u in -3\/7, -3, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*f + 4 = f - f, -21*h - 11*f - 21 = 62 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17089 and 11.\nAnswer: 187979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 72*w - 254. Let m be n(4). Solve 24 = o - 5*q, m*o + 3 = 2*q + 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10110111200330 + -3?\nAnswer: -10110111200333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 z when three letters picked without replacement from {s: 2, v: 4, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67488?\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -74. Solve 19 = 4*d - l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + -3*sqrt(190)*1 + sqrt(190))\/(2*(sqrt(10) + sqrt(30)\/sqrt(3) - sqrt(10))) + 0 + (-6*(sqrt(38) + sqrt(950)) - sqrt(38))\/sqrt(2).\nAnswer: -75*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1025 and 410.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248474 - 907113 = -96*j + 962129. List the prime factors of j.\nAnswer: 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.533669 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 57, 84, 117, 156?\n\"Answer: 3*w**2 + 12*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, f: 3, i: 6, g: 4, k: 1, q: 3}. What is prob of sequence gqiq?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfmftamt. What is prob of picking 1 f, 1 b, 1 m, and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c38 - -12?\nAnswer: -2c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 9. Suppose 5*i = -0*i - q + 28, -5*q = 2*i - 2. Let u(h) = 4*h - 9. Let a(g) = i*m(g) + 7*u(g). What are the prime factors of a(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 557 - 113. Is o at most as big as 446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -936 * 3.026.\nAnswer: -2832.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*p**3 + 32*p*x + 40*x - 5681 wrt p.\nAnswer: -102*p**2 + 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 51657609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(54\/(-4)))\/((-8990)\/174)?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*z, r - 17*z = -12*z - 29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 19*s**2 - s + 19*s**2 + (-s**3 + 5*s**2 - 5*s**2)*(9 - 2 + 14).\nAnswer: -20*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153730, -153989, -154248, -154507, -154766, -155025?\nAnswer: -155284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 971579 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 - 83. What is the nearest to s in 2, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07487 less than 114?\nAnswer: 114.07487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1379*j + 4277*j + 1 + 3571*j to g*j + d and give g.\nAnswer: 6469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 8:04 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3308301.8 times -4?\nAnswer: 13233207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-25)*-5)\/(-3)*-5*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14438, -27310, -40182, -53054?\n\"Answer: -12872*x - 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0764 - 315115.\nAnswer: -315115.0764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 17. Let d be i\/3 - 7\/(-21). Solve -2 = -4*m + 3*b, -2*b = -2*m - m + d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0, 23, -19088\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -16*f**4\/7 - 6649700*f**3\/7 + 31586552*f**2\/7 + 48210900*f\/7 + 1424952 = 0.\nAnswer: -415611, -1, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 19476.2984 to the nearest 10.\nAnswer: 19480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.38352s in days?\nAnswer: 0.00174055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -483*o**2\/2 - 425. Let a(y) = -2*y**2. Give a(t(i)).\nAnswer: -466578*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from tcfco?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2 - 41*z - 450 = 0. Calculate z.\nAnswer: -9, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80074 - 400354\/5. Let -4\/5 - r*n**2 + 4*n = 0. Calculate n.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r - 38. Let d be t(-10). Find c such that 12*c**4 - 2*c**5 + 4*c**5 - d*c**5 - 4*c**5 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((1\/(-1))\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 573*s**2\/4 + 287*s\/2.\nAnswer: -s*(s - 1)*(s + 574)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 38 + 148 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/507 and -31\/387.\nAnswer: 65403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 136 - 80 + 2*n.\nAnswer: 2*n - 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 8*g - 1. Let w be l(9). Let v = 14 - w. What is the highest common divisor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 2*q**2 + 17083*q**3 - 2 - 17091*q**3 - 2*q. Calculate r(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l + 286. Let i be p(35). Differentiate -i*v**4 + 46 - 31 - 6*v**2 + 6*v**2 with respect to v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let d(s) = s**3 - s. Let v be d(z). Let m = -696 - -702. Solve -2*h = r - v - 1, -m = 3*h - r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-73 - 0 - (26 + -45)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 906 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10)\/(-195) + 68415\/585 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/8*2\/12*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-3080)*(-104)\/234\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-15))\/((-6)\/(-5) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5462 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1\/4, 4 in ascending order.\nAnswer: -1\/4, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4))**(-15)\/((y\/((y\/y**(-9))\/y*y))\/y)**8 assuming y is positive.\nAnswer: y**(335\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.685 and -20.\nAnswer: -253.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 4. Let z be j(-3). Let b be (z - (-8)\/3)*-3. Put b, 5, -5 in descending order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 24*k - 130. Let l be t(29). Determine g, given that 35*g**3 - l*g**5 + 13 + 48*g - 39*g**2 - 68*g**3 + 51*g**4 - 25 = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44863 and 1010191?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2278898 and 0.1?\nAnswer: 227889.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-4) + (-3)\/(-2)*266\/(-57).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 117, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2\/11, 1\/4, 3\/17, -12.8, -0.3?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -867, -3297, -7287, -12843, -19971?\n\"Answer: -d**3 - 774*d**2 - 101*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20744, 47630, 74516, 101402?\n\"Answer: 26886*l - 6142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 960558 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/8 greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(34*117\/6630)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257499245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*p - 4744 + 17857 = 0 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -12.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 119609*c - 49608 wrt c.\nAnswer: 119609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14*(25\/(-5))\/(-5). What is the closest to -1 in r, 2, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26338498 less than or equal to -26338496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 152745078 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24967133*g**3 - g - 1218258006?\nAnswer: -74901399*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 75147228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*-96.\nAnswer: -27.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/539632071 and -23\/132.\nAnswer: 2158528284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n**2 + 30*n - 355. Let z be i(12). What is the greatest common divisor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110 + -11000110?\nAnswer: -100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 45 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 7 - 9 - -3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22376.332 - 2601.\nAnswer: -24977.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*q**4 - 40292*q**3 - 3100146?\nAnswer: -120*q**3 - 120876*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -195257*z - 2. Let g(a) = 2*a**2. What is m(g(c))?\nAnswer: -390514*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2369, -4 in increasing order.\nAnswer: -4, -2, 2369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9727778 + 9.4116.\nAnswer: 9727787.4116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5385547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**3 - 7*m**2 + 7*m - 11. Let i(y) = -y**3 - y. Let r(n) = -3*n**3 + 3*n**2 - 8*n + 5. Let x(k) = 5*i(k) - r(k). Calculate -3*s(p) + 7*x(p).\nAnswer: -2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a hour in seconds?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51 + 39?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15\/70*2\/(-3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 79.65 - 2831\nAnswer: -2751.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppjwjppj. What is prob of picking 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - v = -21. Let k be (-10)\/15 + 23\/v. Suppose -k*i + 66 = -i. What is the greatest common factor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6553 = 5*o, -4*o + 3*n + 5849 = 588. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w + 20, 324 = 4*j - 5*w. Let g = j + -53. Calculate the remainder when 90 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b, -47*d + 51*d + 20 = -3*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*f = 6*y + 9, 3*f = -y - 7. Let u(p) = p**3 + 3*p**2 - 2*p - 5. What is u(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 128 = 3*f + 6*k, 3*k = -4*f + 178. What is the remainder when 93 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3895892 and 84.\nAnswer: 11687676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 z when three letters picked without replacement from jzzuz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 f, and 1 b when three letters picked without replacement from {b: 1, o: 2, p: 1, f: 1, k: 1, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 3462\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/55, 4, 1\/6, 0.9, 43?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -104008684 != -104008694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112705685 is divided by 109.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 - -106. Let t = 3 - 2. Let n be 6\/20*(6 - 10). Which is the second smallest value? (a) k (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 1706*n + 1713*n - 2 - 5126*n + 1720*n. Let i(v) = v**3 + 4*v**2 - v + 7. Let u be i(-5). Give b(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 12*i + 47. Is i smaller than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (767*b + 3068*b + 180*b)*(-b**3 - 5*b**2 + 5*b**2) to z*b**2 + t + q*b + f*b**4 + g*b**3 and give f.\nAnswer: -4015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -246 and -18?\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 5, 3, -4 in ascending order.\nAnswer: -38, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -25, -6*b = -4*b - 3*y - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -23. Let p = 6.7 + x. Let w = 88 - 438\/5. What is the closest to 1 in -2\/11, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = 29*l + 90 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 + 4 - 4 + (8*o - 5*o - 7*o)*(23 + 8*o**3 - 23) as k*o**4 + c*o + r*o**2 + u + l*o**3 and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*((x\/(x\/(x\/x**(-5))))\/x)\/x*x*x*x*x**(3\/4))\/((x\/(x\/(x*x**(-2\/19)*x*x)))\/(x*x**(-4\/7)*x)))**(-16\/3) assuming x is positive.\nAnswer: x**(-5876\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467304 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.4635 litres to millilitres.\nAnswer: 59463.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (2 + 15 + -12)) + (-1 - -7 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 30*t - 4. Let v(x) = x**2 + x + 16. Let m be v(-5). Let s be 495\/m + 3\/(-4). Is p(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/15*-9)\/(((-8)\/(-6))\/4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37376*2\nAnswer: 74752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*((-2)\/5)\/(4\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.00533 + 58.99467. Let r = -60 - -117. Let c = r - i. What is the third biggest value in 0.2, c, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1575)*2)\/(sqrt(225)*2 - sqrt(9)) + -3*(-1 + sqrt(567)) + (((sqrt(567) - (sqrt(567) + -1)) + sqrt(567))*-3)**2).\nAnswer: -25575 - 6125*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymzy when four letters picked without replacement from {n: 1, y: 6, m: 3, z: 9}?\nAnswer: 45\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*i - 384*i = 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from cccxccyocxxyjcyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4809 + 46*o - 4809)*(-16*o**2 + 0*o**2 - 118*o**2) in the form s*o**3 + m*o + f + p*o**2 and give s.\nAnswer: -6164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + -11 + -3 - (4 + -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - -2 - (8 + -95) is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 508401.3 millimeters?\nAnswer: 508401300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3156, 3158, 3162, 3168, 3176, 3186, 3198?\nAnswer: 3212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85980123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 3*x + 4. Suppose 0 = t + 2. Let s(w) = -2*w - 3. Let d be s(t). Suppose 4*f + 2*h = 12, 0 = h + d + 1. Determine l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32662000 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222112110002211 - -10?\nAnswer: -2222112110002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/2 - 2796*k**2 - 1636896*k - 307441920 = 0. Calculate k.\nAnswer: -920, -472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 6 = -174. Let v(p) = -15 + p**3 - 10 + 13*p + w - 9*p**2. Does 14 divide v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -19. What is the common denominator of 4\/(p - -3)*-5 and (456\/(-28))\/((-72)\/(-16))?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193455134?\nAnswer: 2, 96727567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 38 + 2 = 0. Suppose j + 5*n + 130 = -4*j, 0 = 5*j + 4*n + 126. Let d = v - j. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37423807 rounded to two decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*q + 6, -3*q = -z + 6*z - 6. Suppose -k - 3*i + 45 = 4*k, -q*i - 8 = -3*k. Suppose 0 = m - k - 0. Solve -m*w + w + a = -20, w = -a - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g. Let s be p(-1). Let k = -13 - -13.42. Let d = k + 0.08. Which is the smallest value? (a) d (b) s (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27497 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5278 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**4\/4 + 5*c**3\/2 + 24*c + 2. Find v, given that k(v) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 9)*(-3*j**4 - 4*j**4 + 3*j**4).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24398014*i - 40*i**2 - 24398014*i.\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:37 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 0*n**2 + 0 - 2\/7*n**3 + 0*n = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 51\/1042084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**2 + 1. Let a(p) = -4*p**2 + 4*p**2 - 2*p**2 + 6*p**2. What is a(d(o))?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 11:13 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17111639408578 and -3.\nAnswer: 17111639408575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + -0.03. Let y = -2657 - -85015\/32. Let j = y + 1\/32. Sort n, j, -0.1 in descending order.\nAnswer: n, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 10:28 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 8*l**2 + 6*l + 10. Let j be o(7). What is the units digit of (j - 10\/4)*34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1302210 + 3010?\nAnswer: -1233200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 1. Let l(h) = 81*h - 63. Let u(f) = -2*l(f) + 126*n(f). Let r be 4\/(-16) + (-6)\/8. Is 24 a factor of u(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:11 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Suppose 14 = 5*a - g. Suppose -a*n + 61 = -8. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 654017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - i + 3*i)*(18018*i + 2449*i**2 - 18018*i) + (-3*i**2 + 3*i**2 - i**2)*(-i + 0 + 0) to s + c*i + l*i**2 + f*i**3 and give f.\nAnswer: 2450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33153433?\nAnswer: 33153433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99698816 + 99698816 - 232*k.\nAnswer: -232*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -17. Let z = 5 - t. Let l = -3 - z. Solve -1 = -r - l*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - 2) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113\/7 - 111\/7. Let d = 286.4 - 286. What is the fourth biggest value in -0.01, d, -27, z?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1 + 5 = 0. Let b(o) be the first derivative of -10*o**3 - 2 - 435*o**2 + 435*o**s. Let g(z) = -z**2. Determine g(b(v)).\nAnswer: -900*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*2\/2 + -2. Let r be (2 - (-4)\/s)\/3. What is the nearest to 1 in -0.2, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*((0 + sqrt(320) + sqrt(320) + (sqrt(320)*1 - sqrt(320)) + 5)**2 + -4*(4 + sqrt(320) + 1)) + 1.\nAnswer: -1279 - 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2190*o - 708*o - 5168 = 668*o + 738*o for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -8 + -4 + 6 + -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (17 - 7) - (4 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 88. Let s(a) = -3*a - 91. Determine 3*s(d) - 4*x(d).\nAnswer: -13*d + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1906 take away -1?\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11546, -10799, -10052, -9305, -8558, -7811?\nAnswer: -7064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63855776 and 1952.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471297441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5\/2 - 9*j**4\/2 - 5*j**3 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -902\/9. Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191438966.\nAnswer: 2, 67, 1428649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2497648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7631 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-759)\/(-46)*(-2)\/(-3). Let v(o) = -o**3 + 12*o**2 - 10*o - 1. Calculate the remainder when v(p) is divided by 4\/(-10) - (-128)\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 1 - (48 - (23 + 7) - -15).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {w: 2, h: 1, e: 5, y: 1, o: 1, j: 6}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((23400\/960)\/((-20)\/48))\/((-6)\/8)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/7 and 25\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.1 (c) 5 (d) -0.07 (e) 66743 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -543212 (base 8) to base 6\nAnswer: -3522042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, m: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 69.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1871, -2664, -3451, -4226, -4983, -5716, -6419, -7086?\n\"Answer: d**3 - 3*d**2 - 791*d - 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -0.997?\nAnswer: -1.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 7*i**2 + 9*i - 11. Let n be l(8). Let x = 5 - 5. Let s be 6\/24 + x\/1. Put 4, s, n in descending order.\nAnswer: 4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 24.72. Let h = -552.72 - v. Let k = 551.9423 + h. What is k rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 - 158. Let f(c) be the third derivative of -1\/8*c**4 + 0*c + 0 - c**3 + c**2 + 1\/20*c**z. Factor f(t).\nAnswer: 3*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2645*u**5 + 22195*u**4 - 20255*u**3 - 190455*u**2 + 366120*u - 174960 = 0?\nAnswer: -3, 1, 108\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/9 - 656452*s**2\/9 - 1312940*s\/3 - 656476.\nAnswer: 4*(s - 164119)*(s + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3 - 3*a**2\/2 - 3*a - 3709. Calculate x(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*-2)\/((sqrt(63)*2)\/sqrt(7)) + (sqrt(57)\/sqrt(300) - (sqrt(304) + 2))**2.\nAnswer: 73*sqrt(19)\/5 + 29299\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1968 and -77\/72.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-887 + 887 - 24*x)*(-2*x**3 - 3*x**3 + 3*x**3)*(2*x - 4*x + 3*x) + 50*x**5 - 61*x**5 + 39*x**5.\nAnswer: 76*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8.2 times -2.875\nAnswer: -23.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.9 - -16.8. Which is bigger: g or -822?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Let o = 1.05 + -1. Let u = -0.05 - o. What is the biggest value in p, u, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioki when four letters picked without replacement from {o: 1, i: 2, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -425581\/18 - -23635. Calculate the common denominator of 37\/16 and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2957*q + 9024. Determine f(2).\nAnswer: 3110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275345290, -550690578, -826035866, -1101381154, -1376726442, -1652071730?\nAnswer: -1927417018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsvq when four letters picked without replacement from lsqvvvvlvslq.\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 2, m: 2, x: 7, u: 4}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 89685.24 hours?\nAnswer: 3736.885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -290190 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x - 7*x - 6*x + 0*x. Let y(m) = -9*m**2. What is n(y(q))?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2 - 1. Let u be w(1). Solve 5*s - 6*s = u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k**2 + 2 + 42*k**2 + 2 + 3*k - 3.\nAnswer: -k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(3\/(-9)*-3). Solve 2*q - 18 = -w*q - 5*b, -3*b + 6 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2081 or -2076?\nAnswer: -2076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 9 = -3*u + l, 5*u + l + 31 = 0. Let t(o) be the second derivative of -o**5\/10 - 7*o**4\/6 + o**3\/6 + 7*o**2\/2 - 2331*o. Determine t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 42. Calculate the remainder when 249*(-1 - 12\/(-9)) is divided by a(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5254*r**2 - 4488*r + 1.\nAnswer: 10508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*u - 5*p, -2*p + 0*p = -4. Let z(b) = b**3 - 4*b**2 - 4*b - 6. Let n be z(5). Let a = 94 - 98. Put a, n, u, -14 in descending order.\nAnswer: n, a, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6370 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a + 7. Suppose 3*k = p + 8, -p + 5*p + 19 = -k. Let r(y) = -y - 1. Let d(w) = k*t(w) + 4*r(w). Give d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfofxfxxfxoftofooft. Give prob of picking 3 x.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 15, -2\/41, -2?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + -21 - (-3 + -8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1110 + 6297 = 0. Let k = 4570 - u. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b8 + 1?\nAnswer: 6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 4. Let j be d(-4). Suppose 2*b = 6*b - 28. Solve 0 = -5*s + 3*o + 18, j = -3*s + 3*o - b*o + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636 less than 2636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3939 and 51?\nAnswer: 66963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4689456949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 1:19 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 329*s**3\/3 - s**2\/2 - 35*s - 733. Find the second derivative of t(l) wrt l.\nAnswer: 658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + f - 26 - 43 - 35 + 2.\nAnswer: f - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + 2*f**2 + 0*f**2 - 9*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y. Suppose 4*d - 66 = -3*g, y = g - 0*d - 3*d - 35. Let w = g + -15. What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 7. Let x = -3.9 - 3.1. Does j = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:54 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 8, 4*u + 3610 = 2*r + 9*u. Suppose r = 4*q - 7*q. Is 14 a factor of q\/(-25) - 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*r + 4 = 0, o + o - 5*r = -14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 0 + sqrt(272) + sqrt(272) - (1*sqrt(17)*-5 - sqrt(17)))*-1.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.17 - 0.17. Let d = r + -11.1. Let p = 6 - 4. Are p and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + 31 + -12 - -12) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89040.\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127040416 a multiple of 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 21 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652905111 to the power of 1\/3, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -120, -8, -24 in decreasing order.\nAnswer: -2, -4, -8, -24, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.99748l to millilitres.\nAnswer: 14997.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 4. Suppose 0 = r - 2 - d. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (590 - 595) + 19 + 1 + -1 + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 16 = -104. Suppose -i - 3*i + m = 59, 4*i + 4*m + c = 0. Let a = i + 19. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5157194.6 to the nearest 10000.\nAnswer: -5160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642086.\nAnswer: 2, 3, 47, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(45) + sqrt(45)*-1 + sqrt(45)))\/(sqrt(576)*2).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 12 = 11*o. Suppose 2385 = -o*i - 483. What is the units digit of i\/(-7) + 12\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2860266 divided by -1627.\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-20) - (-13)\/4. Let m(q) = 3*q + 3. Let n(a) = -a. Let h(j) = m(j) + 5*n(j). What is h(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3280 + 3280. Which is the second biggest value? (a) 3 (b) 146 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 6. Let j = f + -25. Let l = j + 11.9. Which is the second smallest value? (a) 0.2 (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*1*-3 + -3)**2*-6*1.\nAnswer: -23382 - 1296*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/((-1)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -66 from -135394287.\nAnswer: -135394221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/25))**(4\/3) assuming k is positive.\nAnswer: k**(92\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 146 - 170 = -4*p, -n = -p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 352122214?\nAnswer: -352122232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 430. Let j(i) = 35104*i. Determine g(j(y)).\nAnswer: 2464581632*y**2 - 430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:09 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -6 - (3 - 2 - (44 + -39)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.092, -2\/11, -2, 0, 0.5 in increasing order.\nAnswer: -2, -2\/11, -0.092, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (98\/1372)\/(2\/(-8)). What is the nearest to -28 in 0.3, 1, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 + (-2)\/(-72)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279 - 839\/3. Put t, 1, -1\/3, 73\/2 in decreasing order.\nAnswer: 73\/2, 1, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.056 + -0.056. Let q = 32.8236 + -0.8596. Let r = q - j. Is r smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -234*l**2 + 2*l. Let t(z) = -13*z - 2. Calculate t(h(w)).\nAnswer: 3042*w**2 - 26*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**2 - x**2 + 6*x**2 - 3*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3547 - 11446 = -5*d, -3*w - 14987 = -5*d. List the prime factors of d.\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 557*k - 118 with respect to k.\nAnswer: 557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809524242 to the power of 1\/3, to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22338 and 2142.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3\/7))\/(z\/(z*z*z**7)*z*z))**(3\/4)\/((z**(-2\/11))**(-2\/85))**(-3\/23) assuming z is positive.\nAnswer: z**(1484013\/301070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000110903027 to 6 decimal places.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 14*i. Let u be d(3). Suppose -420 = 7*t - 11*t. Calculate the highest common factor of t and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1884 + -1903 + 2 + -11.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 + 121. Solve -m - 3 = r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 5, 23286 in ascending order.\nAnswer: -26, 5, 23286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 12366.\nAnswer: 12372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240696, 240697, 240700, 240705, 240712, 240721?\nAnswer: 240732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-6)*j**5*((j*j\/(j**(2\/3)\/j))\/j)**(2\/19))\/(((j*((j*j**(1\/3)\/j)\/j*j)\/j)\/j*j*j)\/(j**(-2\/5)*j)*(j**(-2\/7)\/j)**(-12)) assuming j is positive.\nAnswer: j**(-8023\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -0.94. Let o be 2\/(-6) + -4*323\/(-2310). Let t = 2\/77 - o. Which is the closest to n? (a) t (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1023121340 (base 6) to base 15\nAnswer: e317bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*51.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, i: 8, g: 5}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16278898*r**2 + 16278898*r**2 + 218*r**3.\nAnswer: 218*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17.70781 years?\nAnswer: 1.770781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80536718 = -57*h + 146950282. What is h rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 81.47509 millennia?\nAnswer: 814.7509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 28*p + 9. Let t(r) = -83*r - 29. Suppose -7*n + 28 = -11*n. Let b(i) = n*u(i) - 2*t(i). Does 27 divide b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3493352, 3493354, 3493356, 3493358, 3493360?\nAnswer: 3493362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -38. Suppose 14 - 70 = -28*m. Solve 3*k - m + 1 = 2*j, 5*j + l = -2*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/5 - 38658*w\/5 + 38659\/5 = 0. Calculate w.\nAnswer: -38659, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - ((0 - 3) + 0). Let h = -100 + 108. Suppose -3 = -h*y + 21. Solve -y*c + 40 = t + 4*t, c - t = j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2. Let s be (-9 + 9 - 4) + 4. Let c(d) be the third derivative of s + 11*d**2 + 0*d**3 + 5\/24*d**4 + 0*d. Calculate t(c(y)).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 11219?\nAnswer: -11219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 54*r - 32*r + 1 - 15*r - 12 in the form c + d*r**2 + g*r and give g.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 7888504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywwwlyl. What is prob of picking 1 w and 1 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 787? (a) -2\/7 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4248 (b) 3 (c) -583\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33243 = 5*q + 3*b, -2*q + 54*b = 53*b - 13295. What are the prime factors of q?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 5*j - 33. Factor -1\/9*h**j + 0*h + 0*h**2 + 0.\nAnswer: -h**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 7:15 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)\/(-5 - 48\/(-9)). Suppose 2*t - g*y = -268 + 1710, -20 = 5*y. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 0*h. Suppose 0 = -n - a - h*a + 5, -14 = -2*n - a. Let r(m) = 54*m + 16. Is r(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1.1, 2.6, -4\/11, -0.3 in descending order.\nAnswer: 2.6, -0.1, -0.3, -4\/11, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 152734 = -3*s, -47*s + 45*s - 2*l + 101822 = 0. What is the ten thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 47*r**5\/60 - 13*r**4\/24 + 25*r**3\/6 + 29*r**2. What is the hundreds digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3860459\/22 + -175404. Suppose -55*y = -34*y - 1428. Let k = o - y. What is the common denominator of -107\/12 and k?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -0.0151 in ascending order.\nAnswer: -1, -0.0151, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 43 = -3*r + 22, 0 = i + 3*r + 5. Let h = 2\/631 + 451\/56790. Put -3\/5, i, -2\/11, h in decreasing order.\nAnswer: h, -2\/11, -3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1443584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 6*u**4 - 3*u**4)*(-u - 3*u + u) + 1353*u + u**5 + 597*u + 1164*u.\nAnswer: -2*u**5 + 3114*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(8\/4))\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -38, 5\/3?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 455542976 + -859.5\nAnswer: 455542116.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -26*l. Find the third derivative of b**2 + 37*b**4 - 29*b**4 + 0*b + l*b wrt b.\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969193 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-155)\/((-1)\/(-26 + 5)*-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + d)*(2*d**2 - 2*d**2 - 2*d**4) + 11*d**4 + 4*d**5 - 11*d**4.\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b + 48. What is the hundreds digit of m(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15)*(-80)\/112.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05 (b) 1882 (c) -2 (d) -0.5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*h = 7*i - 359, h - 175 = -2*i. Let r = i - 82. Find the third derivative of -o**r + 4*o**4 - o**4 + 21*o**2 wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 10521*y - 12. Let i(b) = -73640*b + 89. Determine 2*i(x) + 15*o(x).\nAnswer: 10535*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2))**(-42)*r**(2\/7)\/r**(-2)*(((r**(1\/3)\/r)\/r*r)\/((r\/r**(-2\/7))\/r))**(-27) assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*m + 2 + 2 - 101*m in the form y + d*m and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 14038.73 days?\nAnswer: 1212946272000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -11 + 35. Let z(j) = -j**3 + 6*j**2 - j - 3. Let v be z(a). Let k(d) = d + 15. What is the units digit of k(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaavaaav. Give prob of picking 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2288 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 1)*(17\/(-34) - 546\/(-308))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*x - 0*x. Let d(g) be the first derivative of 5*g**3 - 13*g**3 + 5*g**x - 6*g**2 - 3. What is the second derivative of d(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -261456*z - 219616?\nAnswer: -261456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*i - 15, 2*r + 0 = 5*i + 10. Suppose 5*d + 5*q - 95 = 0, -r*d - q + 91 = 2*q. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjqjeltejee. Give prob of sequence tlq.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.493 + -2.493. What is the nearest to r in 2, 2\/13, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -45658 and -319604\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -38.27989?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 320657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 1. Let k(r) = -3*r**2 - 2*r + 12. Let b be (-2)\/5*790\/316. What is b*k(v) - 4*c(v)?\nAnswer: -v**2 + 2*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26447276 to the nearest integer?\nAnswer: 5143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 + (16 - 29) + 19 - -51).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1596)\/(-1260) - 10*(-3)\/(-18). Which is smaller: z or -653?\nAnswer: -653","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 + 2*x**2 + x**2. Let y(q) = q. What is c(y(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9*m - 3270 = 0. Is m equal to 544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2 - ((-250)\/12)\/5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 - 286. Let m = u - -155.9999825. What is m rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/((-6)\/15165). Is 10\/(-4)*c\/(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - 2\/((-2)\/(-3)). Let r(u) = -6*u**2 + 3 + 3 - 27*u**3 - 1 + 28*u**3 + 1 - 7*u. What is r(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/1*-6. Let m be f\/(-1) - (3 - 2). Solve -v - 1 - m = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 12*d**2 - 21*d - 12*d**2.\nAnswer: -24*d**2 - 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19445 - -6 - 4*((-3)\/2 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16032\/7 - -2283. Calculate the common denominator of -47\/18 and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.6 and 45.6770031696.\nAnswer: 54.2770031696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0273, -2, 4, 2, -3 in increasing order.\nAnswer: -3, -2, 0.0273, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(sqrt(153) + 0) + -3 - ((sqrt(153) - (0 + sqrt(153))) + -4 + -1)).\nAnswer: 12 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16649 divide 810551269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -87. Sort 2\/9, -3, d, 4 in decreasing order.\nAnswer: 4, 2\/9, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let o(n) = -n**2 - 13*n - 33. What is the least common multiple of o(-7) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332075469.\nAnswer: 3, 11, 2467, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98681487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1084 = -3*u, -5*n - u = -4*n + 270. Let l = -133 - n. Calculate the lowest common multiple of 24 and l.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.87, 318, 2\/7, 1 in decreasing order.\nAnswer: 318, 12.87, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 1. Give m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -92453?\nAnswer: -92449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42713, -42705, -42693, -42677, -42657?\nAnswer: -42633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1687 - -3799. Is -0.1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 3. Let b be c(0). Suppose -p = -1 - 2. What is the second derivative of p*v**b + 5*v - 3*v - v wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 42.8033\nAnswer: 171.2132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*y - 1786 = 5*y, v - 586 = 4*y. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1221030122 (base 4) to base 15\nAnswer: -879ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 19*k + 76 = 0, 0*k - 242 = 5*v + k + 234 - 717 + 245 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 67?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -246 + 5165\/21. Let l = 26 + -25. Is l > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.0138 = -312\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16456 - -16462. Which is the nearest to 10? (a) 3 (b) -2\/3 (c) z (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02137 and -91479?\nAnswer: 91478.97863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1207415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38615720 by -74261.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 21*j + 801. Let v be z(-38). Suppose 4\/9*u**2 + 4\/9*u**v - 2\/9 - 2\/9*u**5 - 2\/9*u**4 - 2\/9*u = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + ((sqrt(99) + 3 - sqrt(99)) + -2)*6 + 2 + (sqrt(99) - (sqrt(99) + 2*sqrt(99) + 2)**2).\nAnswer: -884 - 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*(-692)\/(-1211)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -19 (c) 6 (d) -0.5 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3 + 224*v**2 - 1317*v + 1962 = 0.\nAnswer: 3, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 83, 2\/257, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 4. Is (-9)\/12 - 573\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 12. Let q be x(-9). Let w = 2 + 0. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30259, -30273, -30309, -30373, -30471, -30609, -30793, -31029?\nAnswer: -31323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-2)\/8)\/(6\/24))\/(-1). Put h, -15, -4 in decreasing order.\nAnswer: h, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1971 + -2?\nAnswer: -1973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 divided by -244?\nAnswer: 94\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 367598106 a multiple of 3273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-17)\/(-170)*-12)\/((-3)\/1855). Calculate the greatest common factor of t and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -995 times 0.3?\nAnswer: -298.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrq when three letters picked without replacement from qqqqqqqqqqqqqqrqqqq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94563*k**4 - 2*k**3 - 356348*k wrt k?\nAnswer: -1134756*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/814409729 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/210*(-30)\/20)\/((-13)\/((-5720)\/64))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 215970.6 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*t = -4*o + 23, -3 = -t. Let c be 226*(2 - 3\/o). Suppose -p = 36 - c. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 21, 36, 57, 84?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5)*(0*r + 5*r + 7*r).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -537, -1\/9, -0.3?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*h - 124*h = 124*h - 1640 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-60) + 364\/10. Let k be (-5 + 2)\/((-3)\/4). Suppose j + 79 = k*m. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 1 (b) -2 (c) 0 (d) 1\/4 (e) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/(w*w**(-3\/4)))\/(w**(-1\/3))**39 assuming w is positive.\nAnswer: w**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 6:55 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Let b(c) = 18*c - 10*c + 10*c. Let a(i) = -i. Let l(f) = 3*f - 23. Let x be l(8). Let d(r) = x*b(r) + 15*a(r). What is s(d(z))?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 298*b. Let w(q) = -q - 31. Determine w(d(a)).\nAnswer: -298*a - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5016\/(-24)*(1 - 0). Let m = d - -1879\/9. Sort 0, m, -0.5, 0.5.\nAnswer: -0.5, m, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0, 9, 2\/7.\nAnswer: 0, 2\/7, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10956 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2420 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - (-387)\/63)*7\/(-1). Suppose 3*s - v*s = -30. Solve -4*g = g + s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-12 + -7)) + 4 + -13.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 27*v**2 + 862*v - 11. Calculate the remainder when 2908 is divided by y(-32).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - -1) + 3 + -7. Suppose j*i = -i + 4. Suppose i*h - 308 = -0*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) -7 (b) -1 (c) -0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, l: 1, w: 1, c: 1, r: 2}. What is prob of picking 1 x and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*j - 2492 = 0, 48*q + 1497 = 51*q - 3*j. Calculate the remainder when 2509 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 75?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336713955.\nAnswer: 5, 19, 43, 572023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 538390734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*j - 4*w - 19, 40 = 3*j - 5*w. Determine t, given that 15*t**3 - 11*t + 10*t**4 - j - 2*t**2 - 4*t - 3*t**2 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363330 and 26620?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 298.4643 + -0.0643. Let i = 299 - m. Which is the closest to 0.1? (a) -4 (b) -0.6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 438*n + 4310. Determine k(-10).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3652.32406 + 0.91?\nAnswer: -3651.41406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 59*x - 240 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.832, 0.066, 4.1?\nAnswer: -5.832","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 4*b**2 - 7*b - 6. Let k be l(-5). What is the second derivative of 0*o - 2*o + 2*o**4 - 5*o**k wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*g**2 - 6010*g\/3 + 800\/3.\nAnswer: 5*(g - 80)*(15*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -3. Suppose g*v - 6 = 3*v. Solve i + 5 = -4*d + 11, v*i - 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-25)\/80*68\/20 and -71\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4667.6273 + 4668. Let m = j + -0.380792. Let n = m - -0.008. Round n to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 13.6805831.\nAnswer: 13.8805831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**4 - 38 + 80 + 15*h**5 - 42 - 18*h**5 + 45*h**3 = 0.\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 1. Let w = 5141.4 + -5141. Sort 1\/9, 13, x, w in descending order.\nAnswer: 13, w, 1\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868407857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 4, -2\/5, -2, 2.19 in decreasing order.\nAnswer: 6, 4, 3, 2.19, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - -2*sqrt(864) - 1*sqrt(150))\/(sqrt(147)*1 - (sqrt(48)\/sqrt(4) + sqrt(12))) + 3.\nAnswer: 3 + 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnereveeezb. Give prob of picking 1 z, 1 e, and 1 r.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20222125 - 31?\nAnswer: 20222054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 + 105 = 4*s. Suppose s = -t + 6*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187 - 127. Let a(w) = 26 + 2*w - u + 17. Give a(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, -40, -113, -192, -277, -368?\n\"Answer: -3*k**2 - 58*k + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - 89. Let j = -17 - a. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 - 8 - (-1 + 1). Suppose -175 = -5*d + 4*c - 55, -5*d + 120 = k*c. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -10 (c) -0.9 (d) 4 (e) 0.03 (f) -20 (g) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose 3*g + 21 = -p, 5 = -g + p + 2. What is the biggest value in -0.2, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 3*x. Let o(s) = 25*s**2 + 40*s. Let v(h) = -3*o(h) + 40*t(h). Let q(b) = 2*b. Calculate q(v(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrccrcccc. What is prob of picking 2 c?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4\/5*x**4 - 1762\/5*x**3 + 38896*x**2 + 0 - 19360*x = 0.\nAnswer: 0, 1\/2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 9*o**2 - 12*o - 15. Let n be b(-10). Put 4, 20, n, -4 in decreasing order.\nAnswer: 20, n, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - q - 20 = 3*q, 3*u = -2*q + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*d + 175*d - 2016 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 660 divide 276742620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = -b. Let f(i) be the second derivative of 2*i + 0 + 1\/6*i**4 + 0*i**2 + 0*i**b. Determine w, given that f(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 - 3.8. Let d = 2.1 + f. What is the closest to -0.2 in -0.5, d, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (120\/252)\/((-360)\/(-3780)). Let g = 19 - 0. Solve q*x + 20 = -h, -x - g = 2*x + 2*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902070629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:03 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u - 4, 2*u = 3*w + 292. Let k = w - -95. Let j = 2\/171 + -187\/1368. Is j bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*d**2 + 82*d**2 + 93*d**2 - 56*d**2 as z + q*d**2 + x*d and give q.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*s - 134*s + 342*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or 551\/3?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223201 (base 4) to base 6.\nAnswer: -20521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 15*l - 5*l**2 - 2*l - 10 + 16*l in the form y*l**2 + f*l + j and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 14 = 5*v, -3*i + 6 = -3*v. Let y(o) = o + v - 4 + 5. Let p be y(3). Solve 0 = -5*a - 9 - p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 - 140. Let h(p) = -p - 1. Let n be h(-1). Suppose -3*d = n, 2*w - 12 + 2 = -d. Solve -w*b + 3*v = -7*b - 8, 3*b - 3*v = l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v + 2. Suppose -2*w = -2*x, 4*x - 5*w + 3 = 1. Solve s - x*s + 3 = -3*c, v*s + 2*c = -10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 1719.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 8:36 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -6.5. Let q = 35 + r. Let n = -0.0903 + -0.1097. Sort -4, q, n, 0.3.\nAnswer: -4, q, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five quarters of a gram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 99, -215, -25.2, 6?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v = 66*v + 1045 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 4*c + 2. Let p be r(4). Let h be -2*(-1 + 1\/p). Let w = 0.3 - -0.7. Is w at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/123 and -23\/124312.\nAnswer: 372936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -28*g + 46. Let s(l) = 7*l**3 + l. Determine s(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 924776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 4*w + 5. Let o(x) = x**2 - x + 1. Let s(f) = 7*f**2 + 8*f + 18. Let u(v) = 4*o(v) - s(v). Calculate 8*n(j) + 3*u(j).\nAnswer: -j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(429)*-1)\/sqrt(11) - sqrt(39) - sqrt(39) - sqrt(39)))\/(sqrt(75)*-1*5) + 0.\nAnswer: 24*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2541 - -2329.3. What is j rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(4\/3))\/(3\/2). Let x be -6*(5\/o + 3) - -6. Solve -3*t - t + 3*k = 22, -x*t - 2 = 5*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.016, 2, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = u - 29, -273 = 3*z + 4*u - 294 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1785008.\nAnswer: 2, 29, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 71\/4?\nAnswer: 71\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8919547, 17839096, 26758645, 35678194, 44597743, 53517292?\nAnswer: 62436841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(304) - sqrt(19) - (0 + sqrt(19) + -4).\nAnswer: -6*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:44 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/18 + 2\/9. Let v = 189\/2 - 94. Which is the nearest to 2\/7? (a) f (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110010111101111 (base 2) to base 8.\nAnswer: 262757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1755 divided by 511.\nAnswer: 1755\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 994 - 838. What are the prime factors of -2 + (i - 5) + -8?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26, -56, -112, -194, -302, -436, -596?\n\"Answer: -13*z**2 + 9*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**3\/3 + 23*g**2\/2 - 5*g. Let s be v(-11). Let h be 15 - 5 - (s - 1) - -1. What is the greatest common factor of 99 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t**2 - 62*t - 11. Let p(f) = -5*f**2 + 21*f + 4. Let w(n) = -7*p(n) - 2*s(n). Does 33 divide w(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.73 - -48. Let b = n + -0.273. Let s = -3.997 + b. Sort -2, 1\/2, s, 15 in descending order.\nAnswer: 15, 1\/2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -277592 + 725592. Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-40)*10\/(-4))\/(588\/(-4998))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(7\/2). Let q = -4 - -6. Suppose 1 = -3*g + 4. Sort q, h, g.\nAnswer: h, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 25. Let s(o) = -o**3 + 4*o**2 + o - 2. Calculate s(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1257 + -617. Suppose 47*n = 57*n - f. Calculate the highest common divisor of n and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256301 - -0.02?\nAnswer: 256301.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7626*m - 4927*m - 7775*m to t*m + k and give t.\nAnswer: -20328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 + 8.686\nAnswer: 8.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/120 + j**5\/60 - j**4\/24 - 5*j**2. Let l be w(0). Let f = l + 1. Solve -f = -3*b + 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b + 57 = 22*b. Calculate the remainder when 246 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/((-12)\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -27. Suppose -8*t + 16 = -3*t - h*x, -10 = -5*x. Solve 0 = -5*w + 9 - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28506, -115154, -259566, -461742, -721682?\nAnswer: -1039386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**1))**(-27)\/(a**(-5)*a\/a**(-2\/3)))**(13\/5) assuming a is positive.\nAnswer: a**(1183\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.0536644\nAnswer: -0.0536644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-12))\/((-1)\/9). Suppose 5*d = 5*p + 70, 3*p - 2*d = -h - 37. Is 172\/24 + 2\/p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s - 9*s - 12*i - 35 - 55, 5*s - 202 = -2*i for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10881, 10882, 10883, 10884, 10885, 10886?\n\"Answer: c + 10880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 474, 699, 908, 1095, 1254, 1379, 1464?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2262)\/(-91) - 2\/(-14). Suppose 2*y + 19 = 3*t - 0, -3*t + 5*y = -n. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 663*g - g**2 - 663*g. Let q(u) = -4*u**2. Determine j(q(r)).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v**3 + 5*v**2. Let h(j) = -15*j**3 + 6*j**2. Give -5*h(o) + 6*k(o).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*v - o - 12, -5*o + 12 = v. Suppose 3*z = v*z - 16. Solve -3 = -z*l + 3*h, -l + 2 = 3*l - 2*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3\/5, 11, -10\/7, 1353, 0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-6)*44\/(-1320).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 112842, 112871, 112918, 112983?\n\"Answer: 9*v**2 + 2*v + 112831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133335\/44 or 3031?\nAnswer: 3031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (20 - -4) - 21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 1. Let i be m(-7). Suppose 4*l = r + r + i, 0 = 5*r + 2*l - 10. Suppose 2*z + 16 = y, -3*y - z - 1 + 21 = r. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 59?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 3, 4\/5, 2\/3, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24896 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31907730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/38*(-32)\/6. Suppose 3 + 2 = 5*y. Let f = y - x. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 10:27 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 16 = v + 4*k, -k = -3*v - 4. Suppose o = 4*p - 2 - 6, 5*o + p + 19 = 0. Which is the nearest to -2\/5? (a) -2\/5 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*7\/(-280))\/((-3)\/90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5590 - 6260 + 2663 - 4262 + 568)*(-4*j**2 + 5*j**2 + 0*j**2).\nAnswer: -12881*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4.6. Let r = 1 + z. Let o = 130.8 + -131. What is the second biggest value in r, 3\/5, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143120 and 7384992?\nAnswer: 36924960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {f: 13, h: 3}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4759830.4 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117497323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27861320.\nAnswer: 2, 5, 696533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 8:31 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7886*k - 283896. Determine a(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -277, -270, -263, -256, -249?\n\"Answer: 7*y - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**3 - 64*l**2 - 107*l + 131. Is f(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -216, -28, 5 in decreasing order.\nAnswer: 5, -1, -28, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q + 2*g = 7, 0 = 4*q + 4*g - 8. Let u be (q\/(-2))\/(41\/410). Solve k - u*k = 3*a - 18, 0 = -4*k - 5*a + 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*c**6 - 33366*c**5 - 13608755*c**2 wrt c.\nAnswer: 9360*c**3 - 2001960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156200.\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 3945*u**3 - 101630*u**2 - 97680*u.\nAnswer: 5*u*(u - 814)*(u + 1)*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210.40009904 - 210.4. What is j rounded to six decimal places?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754062465 rounded to the nearest one million?\nAnswer: 754000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 + 160544*w**2\/7 + 642164*w\/7 + 642160\/7.\nAnswer: (w + 2)**2*(w + 160540)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (0 + sqrt(325)) - sqrt(13) - (sqrt(13) + 2 + sqrt(26)\/sqrt(2))**2)*-4.\nAnswer: 36*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 37 (c) -3 (d) 0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 1 = -n, 0 = 5*n - 10*n + 5*m - 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0048476749 to 5 dps.\nAnswer: 0.00485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114 + 116. Let g(d) be the second derivative of -2*d + 1\/3*d**3 + 0 + 3\/2*d**j. Differentiate g(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11295 is divided by 10988?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57174722, 114349449, 171524176, 228698903, 285873630?\nAnswer: 343048357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460028919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(162)*6)**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 29340000 = d, 3*d + t + 88020000 = 6*d. What is d rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = 4*y. Suppose y*d + 76 = -2*b - 3*b, 0 = 4*d + 3*b + 84. Let o = 16 + d. Which is bigger: o or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1116117 and 549.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 (base 13) in base 12?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 - 4*c**2 - 3*c. Let o(z) = z**3 - z**2. Give g(k) - 4*o(k).\nAnswer: -k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abeabbb. Give prob of sequence ba.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*g - 106 = 166*g - 443*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*w = -w + 2676, 4*i = 2*w + 3592. Suppose 0*z = -4*z + i. Suppose -4*g - 16 = -z. Calculate the highest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37208 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 2\/23, 1, -0.5, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 88*(-25)\/(-450)*(-27)\/(-6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*((-381)\/(-9) - 5). Which is greater: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45816 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33807638.00000014 + 33807635. Let q = -3.7 + 0.7. Let z = y - q. Round z to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbllvitv. Give prob of sequence lbbv.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 147952 = 3*b, 27562 = 2*p - 4*b - 46404. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (sqrt(2448) - (1 + sqrt(2448) + sqrt(2448))) + 1)**2 + -5.\nAnswer: 72*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.7 + -6. Let u = -12 + 7.75. Let y = u - -0.25. What is the biggest value in y, m, -0.7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*n - 38 = 14, n = -5*q - 65. Let a(y) = -46*y + 13. Is a(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b8316 - -1?\nAnswer: b8317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 11 = 125. Suppose t*v = 7*v + 252. Calculate the highest common divisor of 63 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/12 + u**3\/2 - 5*u**2 - 11*u. Let g be x(-5). Let k(w) = -4*w + g*w - 10 + 10. Let s(r) = -5*r**2. What is s(k(t))?\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 868162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -423.615 + 767.929. Let v = -344 + x. What is v rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 14. Let i be g(-9). What is the second smallest value in 2, i, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i + 11 - 1 = -29*i + 2, 4*x + 8 = 3*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00109296453 to seven dps.\nAnswer: -0.001093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, 315 in increasing order.\nAnswer: -13, 5, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i + 6. Let f = i + -7. Let p = 8 + f. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d - 12 = 0. Let j = -0.171 + 70.171. Let y = j + -69. What is the nearest to -0.1 in y, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 9*k. Let b(d) = -2*d**2 + 4*d. Let n be (-32)\/(-14) - (-10)\/(-35). Let z(h) = n*l(h) - 5*b(h). Find the second derivative of z(x) wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*c + 37 = 209*c - 215 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 40351*g + 531. Is z(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, -5, -0.5?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + -41 + -42 - -13.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 33. Let h(k) = 32*k - 26. Let j be h(-5). Let i = -32 - j. Calculate the highest common factor of i and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.2, 2, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 408*l**4 - 16*l**3 + 20490*l**2?\nAnswer: 9792*l - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y = -23*y - 39. Let 9\/5*r**2 + 9\/5*r**y + 0 + 3\/5*r**4 + 3\/5*r = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169310?\nAnswer: 2, 5, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 22*n**2 + 73*n + 23. Let d be m(-18). Solve -2*q + 0*b - d*b = 7, 0 = -4*q + 2*b + 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*m**3 - 4)*(2*m + 0*m + 0*m)*(31*m - 9*m - 16*m)*(-3 - 2 + 2) + (0 + 2 - 3)*(3*m**5 - m**5 - m**5) - 4 + 2*m**5 + 4.\nAnswer: -71*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**3\/11 + 222*j**2\/11 - 2016*j\/11 = 0. What is j?\nAnswer: 0, 16, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(-32 - 35 + 45)*(3 - 3 - 2*i**2).\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 20, 2*k - 5*y = 6 - 25. Suppose 6*l = -k*l. Let p be (4 + (-66)\/18)\/(-1 - l). Is 0.05 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/131 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 3 + 2)*(-7*f + 13*f + 10*f) + (2*f + f + 0*f)*(5 - 3 - 4))*(1 - 2 - 6)*(0 + 0 - 2) in the form j*f + h and give j.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10631, -21282, -31963, -42680, -53439, -64246, -75107?\nAnswer: -86028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4964500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 2 + 2)*(1 - 4 - 4)*(3*q - 7*q + 2*q).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80391 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 z(l) be the third derivative of l**8\/224 - l**7\/105 - l**6\/30 + l**5\/20 + 5*l**4\/48 - l**3\/6 + 120*l**2. Let z(n) = 0. Calculate n.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q + 78*q - 480 = 0. Suppose -3*p = 13*j - 8*j - q, 4*j - 3*p + 15 = 0. Solve 5*c + 10 = j, 2 = h + h + 3*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3*21 + 4. Suppose -a*y + 64 = -9*y. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z + 60 = 0. Let r be (3\/(-9))\/(1\/z). Let v be 3 + 0 - (-19)\/(-38). What is the biggest value in v, 1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130608823 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6916055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-10)*(-50)\/(-40).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 30 = -5*u. Solve -3*t - u = 2*o + 1, -2*o + 7 = -t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*j + 393 = 0, 5*u - 3*j = 165 + 354. What is the remainder when u is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 6*a + 82. List the prime factors of (-70)\/a - (-2 + -533).\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 4*s**2 - 4*s**2 + 20*s**3.\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227910005.\nAnswer: 5, 45582001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:59 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 2, 0, -2, -4, -6?\n\"Answer: -2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56013428 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {d: 1, j: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2402*o**3 - 31*o**2 - 159*o - 17. Is s(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 64\/5*r**3 - 62\/5*r - 2\/5*r**5 + 72\/5 - 84\/5*r**2 + 12\/5*r**4 = 0.\nAnswer: -4, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.008 + 13. What is r rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 - -661fe?\nAnswer: 66221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -6*l + 170. Differentiate 44*m - 36 - 32*m + l wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1784468 to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.56452ml to litres.\nAnswer: 0.09656452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -668*u + 91. Let o be a(-8). Is 25 a factor of o\/55 + 20\/(-11) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23e7 (base 15) to base 8\nAnswer: -16732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-32))**1*(((l*(l*l**45*l*l)\/l)\/l)\/l)**(-5))**(20\/7) assuming l is positive.\nAnswer: l**(-5240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5722, 55559, 190850, 454321, 888698, 1536707?\n\"Answer: 7121*u**3 + u**2 - 13*u - 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*t = 360. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220210000 (base 3) to base 14.\nAnswer: 6823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, -1\/4, -93768?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021972 rounded to 4 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 32*h = 4. Suppose -h*k + 14*k = 2760. Suppose m + 38 = j, -2*m = 5*j - k + 26. Calculate the remainder when j is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -26376?\nAnswer: -13188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from wwwlzwhlwttl?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -54 in ascending order.\nAnswer: -54, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2. Let q(m) be the second derivative of m**4\/4 - 5*m**3\/6 - 26*m - 19. Calculate j(q(v)).\nAnswer: -9*v**4 + 30*v**3 - 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 v when three letters picked without replacement from {x: 2, y: 3, v: 10, m: 1, a: 1, u: 1}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6962, 14075, 21348, 28781?\nAnswer: 36374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvvgayvgyyatvvvvjyj. What is prob of picking 1 v and 2 t?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -9712, -7, -0.22, -3, 0 in increasing order.\nAnswer: -9712, -7, -3, -0.22, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u**4 - 6172*u**3 - 34068*u**2 - 39924*u + 21816 = 0.\nAnswer: -303, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/4 of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 13*r - 11. Let w = 286 + -298. What is m(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367 (base 14) to base 8\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)*1)\/sqrt(3) - (sqrt(68)\/sqrt(4)*-2 - sqrt(17)) - (sqrt(1088)*2 + -4))**2.\nAnswer: -96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34505*t**5 + 3*t**4 + 2*t**2 - 1135*t - 1?\nAnswer: 2070300*t**2 + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 24*n - 19*n - 480 = 0, 4*a = 5*n - 950. Let o = -43 - a. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 263318410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/8, -2, -10.7 in increasing order.\nAnswer: -10.7, -2, 1\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6*u = -3*r + 3, u = -5*r + 7. Suppose -3*s + 221 + 43 = r*i, 0 = 4*s + i - 347. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 920 and 38340?\nAnswer: 1763640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 + 2*g + 1. Let b be x(3). Let d = 4 + b. Sort d, 6, 5.\nAnswer: d, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7*g = -174. Let m = -25 + g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 3 (c) 337480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a - 12. Suppose -a*l + 3*v + 14 = -2*l, -3*l - 4*v + 23 = 0. Suppose -3*s + 893 = 5*i, l*i - s + 179 = 6*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146\/(-4891) + 11\/(46431\/(-6507))?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v + 20. What is the remainder when y(8) is divided by (-2)\/4*-46 + 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14069304 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g - 117*g = -262*g - 210 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let l(w) = w**2 + 0*w**h + 2*w**2 + 0*w**2. Let u(z) = 2*z. Calculate u(l(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**7\/42 + v**6\/12 + v**5\/12 + 102*v**2 + v. Suppose j(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/51)*y**(10\/3) assuming y is positive.\nAnswer: y**(172\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/25416 and -11\/2922840?\nAnswer: 2922840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((136\/(-32))\/17). Solve -2*x = -6*x + 3*a + r, 0 = -5*x - a - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7065152, 7065139, 7065126, 7065113, 7065100?\n\"Answer: -13*s + 7065165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + (sqrt(171) - ((sqrt(171)*2 - sqrt(171)) + sqrt(171))))*1 + sqrt(171) + sqrt(171) + -4 + sqrt(171) + -4)**2.\nAnswer: -192*sqrt(19) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 28*o**2 - 24*o - 7. Let k be l(-16). Suppose 13*c - k = 3557. Does 45 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 7. Let a be y(-3). Suppose 3*d = 12, 0*d - 4*d = -a*r - 46. Let s be (0 - -8)*r\/8. Which is smaller: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1046 + -1062.56. What is t rounded to one decimal place?\nAnswer: -16.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010010000101 (base 2) to base 4.\nAnswer: -2102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4 + 8. Suppose 2*o - q - 2*q + 3 = 0, 5*o - i*q - 15 = 0. Suppose 5*s = -2*a - 15, -o = -4*a + 2*s - 24. Put a, 1, -2 in decreasing order.\nAnswer: 1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 32\/14)*7. Suppose -2*n + 10 = -z. Let o be (100\/n)\/(3\/(-72)). Round o to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 11.2. Let f = -13.7 - 144.3. Let j = f - -159. Put j, -0.3, b in descending order.\nAnswer: j, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.83 - 13. Let c = x - -0.17000152. What is c rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4836438?\nAnswer: 2, 3, 89, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 424*u**2 + u - 1. Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - 1. Let d(b) = -670*b - 60. What is -d(t) + 60*p(t)?\nAnswer: 430*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 91310*q**2 - 4744064*q + 61655256.\nAnswer: -2*(q - 45603)*(q - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -8*p + 3*p. Suppose 4*r - t = -p*r - 109, -t + 137 = -5*r. Let x = r - -80. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14210 and 174?\nAnswer: 42630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-4))\/((2\/20)\/(14\/(-35)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 7?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3.45 (b) -2219 (c) 0.2 (d) 4 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(18))\/sqrt(9) - sqrt(2) - sqrt(2)) + (sqrt(2)*-1 + 2 - sqrt(2)))**2 - (-2*sqrt(18) - -4*(sqrt(2) - sqrt(18) - sqrt(2))).\nAnswer: 12 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/((-32)\/(-180)))\/1. Suppose -5*c - j = -10*c. Calculate the lowest common multiple of 11 and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jag. What is prob of picking 1 g and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 94*c - 18. Let n(u) = -283*u + 54. Let z(m) = 11*a(m) + 4*n(m). What is the first derivative of z(o) wrt o?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 2*m - 4. Let f be u(4). Suppose 2*l = 5*d - 464, 0 = -f*d - 0*l + l + 373. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 11 = -5*j, -16 = -4*r + j - 0*j. Let y = 23 + -32. Does 11 divide -1*r*y - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/7 - 4*u - 48\/7.\nAnswer: -4*(u + 3)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 468857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 158 = 5*a - 279, -4*s = 2*a - 1712. Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -2.92. Let b be (-42)\/(-525)*(6 - 16). Sort q, 0.1, b in ascending order.\nAnswer: b, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4*(1*sqrt(171) - sqrt(171)) + (5*-2*sqrt(171) + sqrt(171) - sqrt(171)))\/(sqrt(576) + -2*sqrt(576)*-1))**2*1.\nAnswer: 475\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 1903.32230981?\nAnswer: -1894.32230981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7573673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 720 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -453.78 - -459. Let r = -2.22 + d. Sort r, -18, 1 in descending order.\nAnswer: r, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19950)\/(-125) + -1 + (-7)\/(-5). What is the highest common factor of 40 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (266\/(-399)*(-7)\/2)\/((-1)\/6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -172*y + 5. What is p(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -32045*y - 1922699. Give p(-60).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b4a (base 14) in base 11?\nAnswer: -3805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3544*w - 43. Let h be u(-1). Let y = h - -5124. List the prime factors of y.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8387808 divided by -11154\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*d - 173 = 0, 2*d - 7*d + 20 = 0. Let z = w - 31. Suppose 5*j = 7*j - z. Solve 0 = -2*p + 4*p + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 157434218.5 to the nearest 1000000.\nAnswer: 157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*h - 4. Let r(i) = 3*i**2 + 4*i - 73. Let t(j) = j**2 + j - 24. Let s(q) = 2*r(q) - 7*t(q). Calculate the lowest common multiple of s(0) and h.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sso when three letters picked without replacement from {s: 10, o: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -228774\/2813 greater than -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/11 + (-4)\/(-22). Let y = d + 7. Let n(s) = -2*s**3 + 57*s**2 + 89*s + 32. Let c be n(30). What is the greatest common factor of c and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002972594 to 6 decimal places.\nAnswer: 0.002973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f + 1. Let j(n) = 3*n - 2. Let r be ((-2)\/4)\/(3\/(-42)). Let l(u) = -2*u + r - 2*u - 5*u. Let b(t) = -7*j(t) - 2*l(t). Give 9*b(s) + 2*d(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -200 - -5?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 3*h**2\/2 - 1391. Let i(m) = 231*m**2. Give i(g(w)).\nAnswer: 2079*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -26529.96 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 966817 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*g - 155*g - 142*g + 723*g - 145*g - 146*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 0*n**3 - 3*n**3 - n**3 + 5*n**2 - 1 + n + 3*n**3. Let d be g(5). Suppose 3*l = 4*p - 20, d*l + 3*p + 2*p = 25. Solve l*o + 5 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -39*a**3 + 2*a**2 + 178*a + 7913. Let g(o) = -21*o**3 + o**2 + 90*o + 3957. Let k(u) = -4*f(u) + 7*g(u). What is the derivative of k(w) wrt w?\nAnswer: 27*w**2 - 2*w - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -12 in descending order.\nAnswer: 9, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.77 - 1.91. Round q to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 58\/7 - 4. Let k = 1222 + -6112\/5. What is the nearest to d in k, 4\/13, -1\/3?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -75. Suppose 5*z + l*m - 100 = 3*m, 5*m + 44 = 4*z. Solve 0 = -i + 5*f - 1 - z, 2*f = 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -66. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07 and -791229.8275?\nAnswer: 791229.8975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3682600593 to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Sort 2, a, -1.\nAnswer: -1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-1)\/(-2)*-2. Suppose -2*a + 3*f + 318 = 3*a, a - 4*f = 67. Let r = a + -61. Solve -3*x = -5*t, r*x + x = b*t + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 50*r = 23337. Let o = -4418 - r. Suppose -w = 5*l - o, 7*l + 4*w = 3*l + 2676. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/1 - 1)\/1. Let c be (1\/2)\/(l\/(-50)). Find the second derivative of 6*y**5 + 10*y - 8*y**c + 10*y**5 + 9*y**5 wrt y.\nAnswer: 340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -90. Let z be (1\/u + 15693\/(-2))\/2. Let s = z + 31449\/8. Calculate the common denominator of s and -48\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(4)*1))\/sqrt(6).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 330 divided by -3\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17947, 72201, 162755, 289609, 452763, 652217, 887971?\n\"Answer: 18150*f**2 - 196*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1240 and 1860.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428512411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2250 = -47*x - 20*x - 24*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1554281937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/33 + (-1)\/(-3). Is 14 a factor of ((-25)\/15)\/(l\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -o - 9 + 11, 6 = 3*o + 3*j. Let h = -7 - -12. What is the biggest value in h, 3\/8, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glgaalaaxgaxgjxgxix. What is prob of picking 2 a and 1 i?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18295 - -18264. What is the third biggest value in -3, 3\/10, -1\/10, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:28 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 917558 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 3:47 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1767147987?\nAnswer: 3, 11, 53549939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -47*o**4\/4 + 33*o + 61. What is the first derivative of f(z) wrt z?\nAnswer: -141*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 41 + 92 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1675881.46 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a - 3. Let r(j) = -j**3 - 5*j**2 - 5*j - 2. Let i be r(-4). Suppose -4*f + 3*f + i*s = 0, -s = -2. List the prime factors of g(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (22 - -7 - 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2316817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 15*t**2 + 10*t - 21. Let p be n(3). Let c = p + -134. What is the remainder when 157 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*t + 15*t - 2*t + (2*t + t - 5*t)*(5 - 2 - 5) + t - 2*t - t + t + 2 - 2 + 3*t - 4 + 4 to the form f*t + g and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 1. Let u(c) = 10*c + 8. Let l(o) = 2*h(o) + u(o). Determine l(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24208\/340)\/(-89))\/((-1)\/50).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/3 + (-2)\/3. Suppose 20 - 8 = -g*l. Calculate the common denominator of ((-159)\/l)\/(0 + 1) and -3\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a43 (base 13) in base 5?\nAnswer: 1432211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 168107333 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - h + 60 = 4*k, 2*h + 15 = -k. Let o = 87 + -48. Let b = k + o. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311057\/4847664 - -63\/4391. Let k = 2\/69 + r. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 15.2.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 6*k + 11. Let j be 26\/(-4) - (-11)\/(-22). What is the units digit of h(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 2:07 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 1278146?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbb. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144436.\nAnswer: 2, 36109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n\/(n*n\/n**(-2\/13)*n*n)))\/n*n**0)\/((n*n*n**5*n)\/n**0))**(-5) assuming n is positive.\nAnswer: n**(445\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 109*l - 14464. Give x(142).\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 1 - 3 - (-9 + -13634) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1080*o**3 - 10*o**2 + 2819*o. Let k(y) = -1084*y**3 - 8*y**2 + 2815*y. Let p(w) = 7*k(w) - 6*t(w). What is the second derivative of p(r) wrt r?\nAnswer: -6648*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1970.\nAnswer: 3940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161*u**2 + 25*u**2 + 100*u**2)*(2*u**2 + 0*u**2 - u**2 - 5*u).\nAnswer: 286*u**4 - 1430*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 29*k + 7. Let u(c) = -c**2 + 6*c + 49. Let l be u(-5). Let g(o) = -15*o - 4. What is l*i(j) - 11*g(j)?\nAnswer: -9*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1150956 or 1?\nAnswer: -1150956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/9)*p*p)\/p**(1\/7))\/(p*p*p**(-1\/2)*p*p)**(-3\/16) assuming p is positive.\nAnswer: p**(7531\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*i = -6. Suppose -13 = -i*g + 23. Let b = 16 + g. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 5*p)*(3 - 1 + 3).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8509, -17665, -26821, -35977?\nAnswer: -45133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0 + 3\/2*i**3 - 8*i**2 + 0*i + 7\/6*i**4. Find the first derivative of g(q) wrt q.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49927939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 6*g**2 - 7*g - 4*g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -611 - -608. Suppose -2*y = 3*j + 17, -3*j = 8 + 7. Put o, y, -5 in increasing order.\nAnswer: -5, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/8 in 3\/2, -21, 8\/3, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1 + -5 + 2)**2.\nAnswer: 12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, 0.3, 3\/4, 8\/7, 2, 0.4118?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggrgr. Give prob of picking 2 g and 1 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 21805?\nAnswer: -21809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 28476*j**2 + 17*j**4 - 12*j**3 - 17*j**4 + 4*j**5 - 28484*j**2 = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 z when four letters picked without replacement from {e: 6, z: 9, h: 2}.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and -2593.5?\nAnswer: 492.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -1\/22, -11, -7?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/20*(-1 - 3). Let w be (750\/95 + -8)*1\/(-86). Let l = 41\/2451 - w. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*o + 188*o = 267125. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, 2, -3, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6091 - -6087. Let y = 28 - 19. What is the smallest common multiple of y*38\/24 - 3\/h and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127653002 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15487 - 62767\/4. Let h = d + 206. Find the common denominator of ((-1356)\/60)\/(2 - 0) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 14 - (6 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 24*u - 2 + 3 + 2 - 7. Calculate the least common multiple of 12 and q(2).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + 659199\/(-4). Let o = -845 + 893. Let r be (w\/o)\/(1\/(-3)). Round r to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -20*b**3 - 40*b**2 + 18*b - 36. Give s(4).\nAnswer: -1884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -578000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 15452*a**3 - 19891872*a**2 + 8526972160*a + 8546879488.\nAnswer: -4*(a - 1288)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004383200 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + -1)*10\/90. Which is the nearest to -0.1? (a) -4.4 (b) p (c) -3 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b - 19 = -4*n, -5*n + 22 = -3*b. Solve -3*s + 4*s - 10 = n*o, -5 = -2*s + 5*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/25377 and 74\/2307.\nAnswer: 25377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7986*g - 8 + 8 + 7985*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - 21*t + 50*t + 1397*t**2 - 1398*t**2 - 30*t + 3*t**3 + 25 to a*t + l*t**2 + d*t**4 + p*t**3 + k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r**3 + 0*r**2 + 12*r**3 + 9*r**2 - 13*r**3.\nAnswer: -22*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 616. Let q be v(0). Let k = 1589 - q. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 246*i - 38948.\nAnswer: 2*(i - 91)*(i + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -1.71\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17193?\nAnswer: 3, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5496, -10989, -16482?\nAnswer: -21975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10140254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15c (base 16) to base 5.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30850.541 rounded to the nearest 100?\nAnswer: -30900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 6. Suppose -j = -x - 0*x. What is the remainder when 53 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**4 - 1063 + 36*a**3 - 2655 + 56*a**3 - 13*a**3 + 270 wrt a?\nAnswer: -4*a**3 + 237*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 40. Let r(n) = -4*n + 2. Determine r(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, -15\/8, -2358, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000215912124 rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9930.457 millimeters to micrometers.\nAnswer: 9930457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43890 is divided by 322?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -805, -1924, -3481, -5470, -7885, -10720, -13969?\nAnswer: -17626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11.8. Let k = o + -3.2. Which is the third smallest value? (a) -4 (b) k (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9460 and 181705.\nAnswer: 343785860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8153.6592 rounded to the nearest one hundred?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(1\/(-1)) - 24\/15. Factor 6\/5*x**3 + 6\/5*x**2 + 2\/5*x**4 + i*x + 0.\nAnswer: 2*x*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4 - (-429)\/(-72)) + 4 and (-4)\/6 - ((-136)\/(-16) - -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3889947 to the nearest integer?\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 421 + -489. Let n be (-4 + 7 - f) + -2. What is the highest common divisor of 184 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -20\/13 + 2\/13*k**2 + 6\/13*k = 0?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 221522204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (169\/(-78))\/((-1)\/6). Let o(i) = 16*i - 3. Let a be o(-2). Let r = a - -50. Solve r = 2*u - 3*l, 4*l + 7 = 4*u - y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1. Let z(a) = -a - 5. Let h(n) = -s(n) + z(n). Let d = -8 + 5. Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 4:18 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -525, -534, -553, -588, -645, -730, -849, -1008?\n\"Answer: -s**3 + s**2 - 5*s - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759 a factor of 3246511651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-138)\/3)*-2*135\/540\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-6))\/((-32)\/(-2880)). Suppose -43*c + 29*c - j = 0. Put 0, c, -8 in descending order.\nAnswer: 0, -8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -64?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -315990 take away -20.7492?\nAnswer: -315969.2508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/77 - (-70)\/22. Let k be (9\/w)\/((-6)\/(-10)). Solve 3*x - 16 = -k*i - 0, -2*x - i = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 444\/10 - 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 5:39 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1443 = -10*o + 1107. Does 51 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 8*u + 4. Let m be j(8). What is the nearest to m in -3\/2, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/17687 and -16\/51523.\nAnswer: 1185029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 985 - 984. What is the second biggest value in 15\/2, -2, -58, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -34, 0 in descending order.\nAnswer: 0, -3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -302 divided by -1077\nAnswer: 302\/1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 354026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b**2 - 8*b + 6. Let l be j(1). List the prime factors of 1\/((-3)\/(-1871)) + l\/30.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 5*g + 2. Let b be f(-5). Let q be -3*(-64)\/132 - b. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57642875.1 to the nearest 10000.\nAnswer: -57640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, x: 3, d: 6, q: 2}. What is prob of picking 2 d?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:04 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -2*t**3\/3 + 9*t**2\/2 + 38*t - 95. Determine a(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.171 and -5366886.\nAnswer: -5366897.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23 - 3)\/(-2) - 1. Let r(k) = 2*k**2 - 6*k + 5. Let v be ((-23)\/(-4) + -5)*4. Let w be r(v). Solve -m + w*m + g = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011444 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*0.18.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 512 = -9*o. Let g = 154 - o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -23\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4394084.67 rounded to the nearest ten thousand?\nAnswer: 4390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294028532 a multiple of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1691*u - 11320*u - 3089*u)*(0*u**2 + 5*u**2 - 3*u**2).\nAnswer: -32200*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12188 and 1.44.\nAnswer: -12186.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 55 - (0 - -89)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11663824 + 889*x - 11663824.\nAnswer: 889*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-58)\/(-3) + (-2)\/(-3). Let w be 5\/(-2)*(-16)\/r. Suppose 5*p + 2 = w. Solve -5*l - 12 - 3 = p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9808)\/7 + 1182\/(-1379). Which is greater: x or -1400?\nAnswer: -1400","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 7*v - 4. Let z be t(11). Suppose 11*r = -z + 84. Let o be ((-30)\/(-25))\/(6\/(-160)). Are o and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(220)\/(sqrt(10)\/(sqrt(2)*4)))**2.\nAnswer: -2852 + 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3 + 2)*(-2*j + 3 - 4 - 5) to l*j + d and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-109)\/(34444\/(-237)))\/(-2 + 17\/8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 48552.\nAnswer: 631176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(1 - (1 - 5)\/4). Suppose -a + 2*g = -2*g + p, 4 = 4*g. Does -1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 4. Let o be l(6). Let b(a) = a**o + a**3 + 4*a - 2 - 3*a + 5. Suppose 0 = 6*d - d. What is b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 u, and 1 p when four letters picked without replacement from ypnynnnnnpnuyuunnpn?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**2 - 383612*a - 19553808 = 0.\nAnswer: -95852, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*m**5 + 10*m**3*w + m**3 - 2*m**2*w + m*w - 2*m + 197*w wrt m?\nAnswer: -120*m**3 + 60*m*w + 6*m - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + u**3 + 0*u**3)*((-4 + 5 - 3)*(-4 + 3 + 3) - 9 + 8 - 2).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77033 and 9387?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(6\/(-8)). Let n be (p - 429 - 2)*-1. Let b = -222 + n. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -500 + 309. Let q = w + 196. Solve b - q*o - 2 = 0, -b + 2 = -2*o + 4*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 183.65318 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -2*z**5\/55 - z**4\/11 - 2*z**3\/33 - 2. Factor g(j).\nAnswer: -2*j**2*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1628 (base 14) to base 12\nAnswer: -2358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 - -2.2. Sort 5, z, 1\/4.\nAnswer: z, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 69206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 3*b**2 - 2*b**2 - b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/34 and 115\/546?\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 10 - 7)*((16 - 16 - 9*o)*(-1 - 4 + 2) + o - 4*o + 4*o).\nAnswer: -728*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*c + 1030*c = -5*h - 15, -4*c + 2*h - 1 + 1 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4 = 4*h, -2*y = -4*h + 55 - 47 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 10. Let b be i(0). Suppose -b = -2*p + 4. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5062046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17621, -17625, -17629, -17633?\n\"Answer: -4*i - 17617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 74. Let q = 23 - j. Suppose h = -4*v + 83 + 6, -3*v + 2*h = -75. Solve -4*f + 6 = 3*w - 11, -q*w + v = 5*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 9. Suppose -5*c + 14*m - 18*m + 67 = d, 2*c + 2*m - 26 = 0. Solve 0*g - c = -5*b + 5*g, 5*b + g = -15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 7:33 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 5, -0.4, 6.5, 2, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4439217 is divided by 13493?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 203*r - 74*r - 92*r + 390*r - 1281 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ca + -39927?\nAnswer: -3935d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o + 16*o**2 - 410 - 10*o**3 - 7*o**4 - 26*o**2 + 50*o**3 + 10*o**2 wrt o.\nAnswer: -84*o**2 + 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1. Let v(q) = 3*q**3 + 18*q**2 - 4*q - 25. Let z be v(-6). Let u(a) = -10*a. Give z*u(b) + p(b).\nAnswer: 10*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u**2 - 4*u**3 + 30*u**2 + 0*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -33495 divided by -1595\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 19*u + 68 = 0. What is the second biggest value in 0.1, u, -4, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 7*y**5\/20 - y**4\/4 + y**3\/2 + 3*y**2\/2 - 2143*y. Let u(j) = 22*j**3 - 10*j**2 + 10*j + 10. What is 6*u(b) - 20*w(b)?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/2783 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j + h = -1050, 0 = 3*j + h - 638. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 15) to base 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u + 47*u + 940 = 4*g, 0 = 3*g. Is 947 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2375 and 760?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 13. Give g(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545550 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 351*l**2 - l. Let f be 445\/178 + 1\/2. Let i(j) = j**2 + 2*j - 1. Let h(t) = f*i(t) + d(t). Find the second derivative of h(u) wrt u.\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -184. Let s = v + 30. What is the tens digit of (s\/44)\/(3\/(-92))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:04 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 32936*l**2 + 3*l + 1. Let s be x(-2). Let p = 190520 - s. Let y = 38781 - p. Round y to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122008 and 122008.\nAnswer: 122008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1087910 and -41\/870328.\nAnswer: 4351640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*u**2 - 253 + 23*u**5 - 228*u + 250 + 53*u**2 + 14*u**5 + 5*u**3 wrt u.\nAnswer: 740*u**3 + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 + k**2 - 59 - 52.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/2544)\/((-3)\/(-36)). Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 57617.\nAnswer: 57617.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -70*g - 486. Determine s(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-9)\/8))\/((-86)\/129)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6884634 and -47\/8604.\nAnswer: 41307804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 5}. What is prob of picking 3 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -65, -21 in descending order.\nAnswer: 2, -5, -21, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28549 is divided by 201.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44774\/1186205 + 24\/655. Does d = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - -7 - -7 - (5 - 19)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5872 by -97.\nAnswer: -5872\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 2. Let h = r + 0.5. Is -2 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*324\/81.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24350213 to the nearest integer?\nAnswer: 4935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 181061 = -187001 - 145550. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120475575, 120475573, 120475569, 120475563, 120475555, 120475545?\n\"Answer: -z**2 + z + 120475575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1275297282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145 is divided by 571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - (2 + 2 - (-15)\/((-45)\/5016)) is divided by 414.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*253592\nAnswer: -253592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*f + r + 10, 5*f - 25 = -5*r. Let o(y) = y**2 + 5*y. Let l = 5 - 10. Let j be o(l). Solve f*h - 1 + 7 = j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s*s*s**4*s)\/s))\/s*s*s\/s**(24\/5) assuming s is positive.\nAnswer: s**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-15) + (-3)\/((-9)\/(-5)). Put 2, -12, -3, i in increasing order.\nAnswer: -12, -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/10 + 19*f\/10 - 21\/5.\nAnswer: (f - 2)*(f + 21)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2 - 16*i**2 + 11*i**2 - 49 wrt i?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 3 - q**2 + q + 5 + q**3 - 14. Determine m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 12 - (2 - 1). Let x = -8 + a. List the prime factors of x + (0\/2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1078542239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/5 - 107*v**3\/5 - 3*v**2\/5 + 323*v\/5 - 214\/5 = 0 for v.\nAnswer: -2, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 648247?\nAnswer: 648247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 0*l**2 - 3*l**2)*((-l + 1 - 1)*(-4 - 1 + 3) - l - 5*l + 3*l)*(-18*l + 20 - 20).\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -11. Suppose v*s = -0*s. What is the nearest to -3 in s, 0.3, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 26901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 3:08 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 277*j**2 + 470*j**2 - 214*j**2.\nAnswer: -21*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**2 + 11*v + 9. Let w be t(-7). Let h = w + 4925\/12. Let y = -1\/12 - h. Put -0.2, 3\/2, y in decreasing order.\nAnswer: 3\/2, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7479.72 and -1000.55.\nAnswer: 6479.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 9:55 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69315? (a) 1\/20 (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 - -76. Let a = -104 - -140. Let t = a + n. What is the nearest to -1 in -0.4, 7, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -2*l**4 - l**3\/3 - 2*l**2 - 3*l + 11. Is j(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 4*i**5 + i + (4*i**4 - 2*i**4 - 3*i**4)*(-i - 5*i + i).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 11*g**2 + 22*g + 12. Let k be m(8). What is the tens digit of (130\/k)\/((-4)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 964511?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*k + 3*t, -3*k - 16*t + 2039 = 2030 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 - 0.16. Let d = -4060 + 4055. Put 1, o, d, 11\/5 in increasing order.\nAnswer: d, o, 1, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 14*x + 15*x = -60, 2*k + 2*x = -16. Sort k, 5\/3, 3, -4, -0.4 in decreasing order.\nAnswer: 3, 5\/3, -0.4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 972 divided by 1\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 55\/4 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 8 (b) 0.3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27874479937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khhh when four letters picked without replacement from jakhj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -3*u**2 + 12. Let a(q) = 2*q + 321. Give a(y(s)).\nAnswer: -12*s + 321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3234530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099515 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/10458 and 133\/12?\nAnswer: 20916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - 55) + 33 + -35 + 11 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 1\/180*j**5 + 5\/36*j**4 + 0 - 50*j**2 + 25\/18*j**3 + 0*j. Suppose m(u) = 0. What is u?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.2784 - 66.3. Let l = 0.0216 + u. What is the third smallest value in l, 10, -0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207041?\nAnswer: 207041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y - 16. Let t(u) = y*u**2 - u**2 - 4*u**2. Let w(h) = 2*h**2 + 2. Let v(z) = -4*t(z) - w(z). What is the derivative of v(s) wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) 0.1 (b) 0 (c) -468\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) 0.8 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m + 5. Let o = m + -3. Calculate the lowest common multiple of 3*3*o\/3 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 4*v**2 - 3*v - 12. Suppose -1 - 13 = -2*f. What is the remainder when l(f) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)\/z)**(2\/13)\/(z\/z**(2\/5))**(-6\/7) assuming z is positive.\nAnswer: z**(192\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6391.47 centuries in millennia?\nAnswer: 639.147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 6*y - 6. Let s be x(-3). Suppose -2*c = s - 69. Solve 0 = 2*g - c + 34 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/2*((-16)\/(-12))\/(-2). List the prime factors of (m + -4)\/(1\/(-134)*1).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4 - (2 + 3 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 395150*g**2. Let y(v) = -25*v. Determine y(m(t)).\nAnswer: -9878750*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310107105.\nAnswer: 5, 262021421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/12 - -5)\/(52\/(-12))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l, 14 = -d + 2*l + 6. Let k be 2\/((-4)\/d) + 1. Suppose 2 = k*f - 34. Solve -f = w - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 2:06 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:08 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -459*c**4*l**3*s + 18*c**4*l**3 - 3*c**2*l**3*s - 2*c**2*l**3 + 289*c**2*l**2 - c*l**2*s - 2*c*l**2 wrt c.\nAnswer: -11016*c*l**3*s + 432*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-four sevenths of a week?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c + 6 = 2*k + 52*c, -3*k = c + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3599*z**2 - 8*z + 5*z**3 + 3602*z**2 - 3 in the form f*z**2 + q*z + p*z**3 + c and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r + 37*r**4 - 41*r**4 + 15*r**2 + 2 - 3*r + (0*r + 0*r + 2*r)*(-2*r**3 + 2 - 2) + 2*r**4 + 2*r**4 - 6*r**4.\nAnswer: -10*r**4 + 15*r**2 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - l**3 - 3*l**2 + 0*l**2 - 2*l - 2*l. What is the tens digit of g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**3 - 20*r**2 - 65*r. Let q(h) be the first derivative of -h**3\/3 - h**2 + 51. Let v(y) = p(y) - 30*q(y). Let v(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.84711 rounded to the nearest integer?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*s - 10 + 27, 5*j - 4*s + 24 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 - 37 - 31 + 798*c + 137*c in the form d + h*c and give h.\nAnswer: 935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n**3 + 206*n**2 + 446*n - 12. Let g(w) = w**3 + 4*w**2 + 3*w + 2. Let f(l) = -6*g(l) - y(l). Factor f(t).\nAnswer: t*(t - 232)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -625 (b) -4 (c) 0.2 (d) 0.0705\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 327080.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -9 (b) 2\/11 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4 + 1)*(-2 + l + 2 + (-2 - l + 2)*(57 - 26 + 10)) + (3*l - 5*l + 3*l)*(-1 + 1 + 1) + 0*l + l + 0*l to the form f*l + z and give f.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272 - 166. Is a a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*z + 86*z + 11*z)*(-1 + 0 + 3)*(19 - 1 - 1).\nAnswer: 5338*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/(((-3)\/(-3))\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 - 4*s - 3. Let h = -213\/32 - -261\/32. Let y(j) be the second derivative of -3\/4*j**4 - j - h*j**3 - 7\/2*j**2 + 0. Give -7*m(c) + 3*y(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28321693921948\/20383 - 1389476226. Let j = p - -2\/1853. Are -1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10*z**2 - 53*z + 186. Let g(n) = -5*n**2 + 25*n - 86. Give 13*g(y) + 6*j(y).\nAnswer: -5*y**2 + 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 569.281863 plus 0.1?\nAnswer: 569.381863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64568 and 31339693.\nAnswer: 250717544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-346)\/1314 - (-20)\/90). Let q = d + -55. Find the second derivative of -q + 8 + 10 - 14*p - 19*p**4 wrt p.\nAnswer: -228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 11. Suppose 0*v = 2*v - 5*p - 9, -t*p - 6 = -v. Let u(j) = -4*j - 5. Let a(f) = 3*f + 4. Give v*u(l) + 3*a(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 106 + 153. Let v = 41 + k. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 10.3. Let z = f + 3.3. Let d = -20.4 - -19.4. Put 1\/4, z, d in decreasing order.\nAnswer: z, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - d + 3. Let v be b(0). Solve 22 = -g - 2*g + 5*f, v*g + 6 = -3*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.732 + -0.268. Which is the nearest to t? (a) 0.4 (b) -4 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xigkgsgxkxsisiig. What is prob of picking 2 s?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -268 + 268. Let b = -112\/99 - -11\/9. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3 = -13. Let k(s) = -5*s**3 - 2*s**2 + 2*s - 1. Let z(j) = 6*j**3 + 2*j**2 - 2*j + 1. Let r(f) = p*z(f) - 5*k(f). Let y = 5 - 4. Determine r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + -3*((sqrt(1300) + 2 + sqrt(1300))*3 + 5 + sqrt(1300) + 1) + -3))**2 + -4.\nAnswer: 604800*sqrt(13) + 20696396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + (((sqrt(171)*1 - sqrt(171)) + sqrt(171) - sqrt(171))*4 + -4)*1*3)*1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 10:47 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 243*h**2 - 1188*h - 101. What is l(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26208 divided by 3.\nAnswer: -8736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**3\/7 - 60*q**2 + 2100*q - 24500 = 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**3 - 2*w**2 + w. Let a be q(1). Let r = 51\/203 + 1\/29. What is the closest to 3 in a, 0.2, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42738 is divided by 10649.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*u + 35415 = 0, -2*x - u - 3*u = -14190. Let v = x + -155955\/22. Find the common denominator of -45\/2 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*u**3 - 841*u**3 - 414*u**3.\nAnswer: -1108*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a - 1. Let u be p(-6). Sort u, 0, -1 in ascending order.\nAnswer: u, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-524)\/(-14) - (-4)\/7?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 + 2*s + 2. Let k be y(-2). Let i = 21 + k. Suppose -i = 3*d - 39. Calculate the least common multiple of 10 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z + 121 = -54. Suppose -o - 4*o = -15. Let f(r) = -4*r**2 - 3 - 4*r + 6*r - r**o + r. Calculate f(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, o: 2}. Give prob of picking 1 x and 1 o.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645, 7195, 18097, 33339, 52909, 76795, 104985?\nAnswer: 137467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hpphhkfh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3\/(-12))\/((-3)\/(-36)))\/(-1). Suppose -g*k + 24*n - 123 = 23*n, 3*k + 4*n + 108 = 0. Do k and -39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 2\/15, -3\/5, -4.9 in descending order.\nAnswer: 143, 2\/15, -3\/5, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 2122001414?\nAnswer: -2122001422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 11:03 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 134 = z, -17 = -w - z + 5. Calculate the remainder when 101 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 5:39 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2473.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 91?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 70 = -2*q. Let w be q\/4*20\/35. Suppose w*f - 104 - 8 = 0. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-5) - -2)\/((-38)\/(-380))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**3\/3 - 3*g**2 + 9*g + 23. Does 13 divide p(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 350 = 3*u, 0 = -0*u + 2*u + 5*d - 229. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 1. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87776578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*k - 3*k**2 + 42*k**4 - 3 + 21*k - 117*k**4 in the form y*k**2 + m + d*k**4 + h*k + s*k**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {o: 3, t: 11, b: 1}?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12340676 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 20, 37, 70, 125, 208, 325, 482?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/80 - 1\/(-4))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*q - 10, -2*c - 4*q = -5*c - 43. Let b = c - -18. Let f(z) = -z + z - b*z**2 + 3*z**2. Let s(l) = 4*l**2. Calculate f(s(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -18. Let d(r) = -11*r + 14. Let b = -2 - -11. Let w(s) = -4*s + 2*s + b*s - 9. Calculate g*d(u) - 8*w(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 4. Let s(m) = -2*m**3 + m**2 + 5. Let i(j) = 19*j + 110. Let o be i(-6). Give o*s(v) + 5*u(v).\nAnswer: 3*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-382)\/18 + 1 + (-105)\/(-1215)*-9?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, o: 6, h: 4}. What is prob of picking 1 i and 3 o?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 5*x**2 + x - 2. Determine a(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 15. Let g(l) be the second derivative of -1\/20*l**h + l + 1\/6*l**3 + 0*l**2 + 0*l**4 + 0. Find b such that g(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1102 divide 56894056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -131\/3? (a) 4\/5 (b) 1\/6 (c) -0.3076 (d) 0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 27. Solve 2*b = h*b - 5*t + 37, -2*b + 4*t - 26 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)\/(1\/3). What is the common denominator of 0 - s - 490\/(-100) and 107\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631675 (base 9) to base 10.\nAnswer: 375260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w, -2*d + 2 = -2*w - 6. Suppose -2*a = 2*a - 8. Solve -l = 5*m - a*l + 12, m + d*l + 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4295\/396 - 729\/44. Suppose b = -0 - 6. Find the common denominator of p and 2\/b - (-964)\/120.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(1 - 1 - 2*f) + f - 7*f + 7*f + (1 - 6 + 3)*(-f + 3*f - 3*f) + (-1 - 1 + 4)*(-f - 3*f + 5*f))*(41*f - 15*f**2 - 41*f).\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13266 + 2*b**2 + 13266.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4 + 18*l**3 + l**2 - 18*l = 0. Calculate l.\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.94 in 0.37, -0.7, 5?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.356193 + -162.643807. Let n = -0.4 - 0. Which is the nearest to 0? (a) n (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**3\/3 + 9*v**2 + 7*v - 25. Let k be ((-24)\/(9\/(-6) - 0))\/2. Is j(k) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*w - 48*w + 83. Calculate the remainder when w is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 2*t + 3. Let m be g(-2). Let b = 0 + -1. Let j = b + m. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o - 170. Let w be s(-17). Which is the closest to -4? (a) -3 (b) w (c) -2\/19 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9774 - 4930. Let v = k - 4843.0876. Let h = -0.91 + v. Round h to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -6.55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 - 135.3. Let p = -6.2 + g. Suppose -5*s = 2 + 13. Which is the second smallest value? (a) s (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (141\/5828)\/((15\/(-50))\/(2\/(-15)))\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + (sqrt(130) - (sqrt(130) - sqrt(130)*-2*2) - -6*sqrt(130)*2)\/((-2*sqrt(20))\/sqrt(2) + (sqrt(1210)*-1 - sqrt(1210) - sqrt(10))))**2.\nAnswer: 48*sqrt(13)\/25 + 7707\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l**2 - 3*l - 6*l**2 + 12*l**2 - 2*l to x + z*l**2 + p*l and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32696665 divided by -32696665.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvryll. Give prob of sequence rlr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 343868237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*b**3 + 148*b**4 - 142*b**4 + 40*b**3 + 9*b**2 + b - 12*b**2 as w*b + t*b**3 + y + o*b**2 + a*b**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**5 - 3*u + 3*u)*(-1 + 0 + 4) + (-3*u + 3*u + u)*(0*u**4 - 6*u**4 - 25*u**4).\nAnswer: -37*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1519 divided by 105\nAnswer: -217\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*o + 17*o + o**2)*(-113*o + 1 + 4 - 5 - 131*o).\nAnswer: -244*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 6*k**2 + 11*k + 8. Suppose 20*y - 16*y = -28. What is c(y)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 - 122.5. Let b = 14.6 - s. Let h = 0.02 - 0.42. What is the biggest value in h, 7, b?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - y**2 + 2*y - 22*y**3 + 9*y**3 + y**2 - 1 as m + l*y**2 + r*y**3 + g*y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 at least as big as 456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekrlkekrekkkieec. What is prob of sequence lr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2956590\/1287)\/(-19) + 2\/(-22)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 930247 is divided by 1276.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22092 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72673678.\nAnswer: 2, 7, 11, 471907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - m - 31 = m, m = -3*l + 12. Let f = 11 + 187. Suppose -8*w + 17*w = f. What is the remainder when w is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10512?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-90) + ((-2)\/(-5) - 32\/(-30)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499, 1065, 2603, 5599, 10539?\nAnswer: 17909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2. Let l(q) = -127501*q**2. Calculate o(l(j)).\nAnswer: 48769515003*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218691 is divided by 574.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5632 and 6656.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 - -21.3. Let i = 2161.6773 + -2185.6773044. Let u = i + j. Round u to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*4\/4 - (-6)\/3. Suppose -y*k = -4*k + 6. Let v(r) = 2*r**2 - 4*r - 5. Let j(q) = -5*q**2 + 7*q + 9. Let a(m) = 3*j(m) + 7*v(m). What is a(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 4, z: 1, x: 11, t: 1}. Give prob of picking 1 t, 1 z, and 1 x.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/6, -5, 2, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g**2 - 290*g - 95 = 0.\nAnswer: -19, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*n - 22, -4*r + 5*n = 267. Let q be (-42)\/r - 4*(-5)\/6. Suppose q*p - 5*p = -89. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((75\/10)\/(-5)). Let m = i - -36. What is the greatest common factor of m and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 1, r: 10, l: 2}. Give prob of picking 2 l and 1 i.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 32 - 20 + 61*k + 55*k + 49*k - 173*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -912 + 1099. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -59570*d**5 + 129219*d**4 - 80200*d**3 + 11027*d**2 - 480*d + 4 = 0.\nAnswer: 2\/185, 1\/14, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85124*x - 3605 = 84879*x + 7665 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 165*t**2 + 72125*t + 214755.\nAnswer: -5*(t - 139)*(t + 3)*(t + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.311? (a) -0.5 (b) -0.06 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((1\/(-1))\/(-5)). Suppose -314 = -x*s - 104. Suppose 6 + s = 4*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 - 11*i**2 - 4*i + 6. Let r(o) = -7*o**3 + 21*o**2 + 7*o - 13. Let n(v) = 5*k(v) + 3*r(v). Calculate n(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:05 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 647 - 653. Let u(p) = 4*p - 5. What is u(i)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127*8091.\nAnswer: -1027557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 694288 and 16142.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:10 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6*c - 18. Suppose 0 = -2*u + c*u - 12. Solve 3*p - 1 = h + 11, -3 = -2*h - u*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12162380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkkhhahhhhhhhhhaah. Give prob of sequence kakh.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-40)\/(-15) - 2). Let d(t) = -t**3 + 3*t**2 - 4*t + 1. Give d(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 41, 1, 0, 10, 4 in decreasing order.\nAnswer: 41, 10, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggs when three letters picked without replacement from zssszgzg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2068, -1872, -1676, -1480, -1284?\n\"Answer: 196*d - 2264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**3 - 495*d**2 - 6*d + 541. What is l(99)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 5. Suppose 2*s + 16 = 4*n, 0 = -4*n - 5*s + 25 + 5. Suppose 488 = 4*m - n*j, 2*m - 378 = h*j - 140. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 4*q**2 - 356*q**3 + 4*q**2 + 354*q**3.\nAnswer: -2*q**3 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -772272 smaller than -772274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 18 = -5*h, 0 = 2*h + g + 4*g + 8. Suppose 4*u + 8 = 0, h*u - 2*u - 91 = -d. Calculate the greatest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from {x: 2, i: 2, o: 2, a: 8, l: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*m**3 + 17*m**3 + 21*m**3 + 21*m**3 + 10*m**3 + 16*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4525051, -4525075, -4525099?\n\"Answer: -24*q - 4525027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 - h**3 + 7*h**2\/2 - 14*h. Let d(i) = -i + 1. Determine 5*d(x) - t(x).\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o - 30. Let b(n) = -3*n + 5. Let i be b(-6). Let q = i - -30. Calculate the remainder when q is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k + 5. Suppose -44 = 177*x - 173*x, l - 4*x - 94 = 0. Sort l, k, -2, 0.\nAnswer: -2, 0, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -16718*j**2\/19 - 43266188*j\/19 - 10352\/19 = 0.\nAnswer: -2588, -2\/8359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 8*v**2 + 9*v - 11. Let n be d(7). Suppose -7*k = -4*k. Let c = n + k. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0907717 milliseconds in days?\nAnswer: 0.00000005892096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28033286 divided by -8\nAnswer: 14016643\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-728)\/39 + 6\/3)\/((740\/111)\/10)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366 and 757499586?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -211121211210?\nAnswer: -211121211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -14. Let r be 3 - (z + 3)\/3. Solve 18 = r*n + 4*q - 2*q, 3*n - 5*q + 19 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)\/o*o\/(o\/o**(-1\/8))*(o**(-1))**(-4\/11))\/((o**(1\/3)*o)**(1\/14)*(o*o**(-3)*o*o)\/(o\/(o*o**(-3)*o*o))) assuming o is positive.\nAnswer: o**(-197\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -285694 and 88.\nAnswer: -25141072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 13 + 1. Let d be m\/4 - 9\/(-4). Suppose -t = t - 3*g - 2, 0 = d*t + 3*g - 18. Solve 2*o - 16 = -a - 2*a, -5*a + 30 = t*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1953*s - 1 + 93006*s**3 + 93005*s**3 - 186009*s**3 to the form y*s**3 + a*s + c + g*s**2 and give a.\nAnswer: -1953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-34))\/(((-1750)\/(-42))\/(-25)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, 1, -2 in decreasing order.\nAnswer: 162, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 247400 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 4*v**2 - 4. Let g be u(-3). Let d = 44\/3 - g. Which is greater: d or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**8\/1008 + t**7\/315 + t**6\/360 + 8*t**2 - 5*t. Let m(g) be the first derivative of a(g). Find y, given that m(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/55, -0.3, 5, 0, -7.06, 0.1.\nAnswer: -7.06, -0.3, -2\/55, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6326 divided by -5\nAnswer: -6326\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 - (-1 + 1)) - (-4 + 10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + w**2 - 2)*(w**3 + 21*w**3 - 8*w**3) + (-2*w**4 - 4*w**4 + 5*w**4)*(9*w - 3*w + 0*w + (-w - 5*w + 4*w)*(-1 + 1 - 1)).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5411087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698852 is divided by 522?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 - 5.8. Which is smaller: 1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-15))\/((-1)\/3). Suppose -98 = -3*i - d*v, 0*i + 5*i + 2*v = 158. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/15*-6)\/(-2)*68\/(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1)\/((-1)\/5). Let g = l + -1. Suppose -4*d - m + 12 = 0, 4*d - g*m - 12 = m. Calculate the greatest common factor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1839 - 65*r - 1839 to u*r + l and give u.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5580 divided by -1116.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*z + 21*z - 22*z + 377*z = -22680 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by -48\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2783491?\nAnswer: 61, 45631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-842)\/(-1) + 1\/((-3)\/9). Let s = -286 + q. Suppose 10*y = 3*y + s. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.7 times 20.6\nAnswer: 179.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7910666?\nAnswer: 2, 23, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = -196. Let o = -130 - r. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 - 2*j**3 - 2*j**3)*(-5*j + 3*j + 6*j) - 2*j**3 + 4*j**3 + j**4 - 4*j**4.\nAnswer: j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965 is divided by 126.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*g + 24, -4*x - 2*g = 16 + 26. Let h = 17 + x. Find the second derivative of -2*l**4 - 2*l - 2*l**h + 0*l**4 - 3*l wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 11 - 5*(0 - 5)\/5?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**3 + 7*m**2 - 7*m**2 + (-2*m + m + 2*m)*(2*m**2 - 2*m**2 - m**2) + 2*m**3 - 3 + 3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - m. Let k(q) = -2*q**3 + 5*q**2 - 5*q - 35. Let l(y) = 5*f(y) - k(y). Differentiate l(j) with respect to j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (4 + 1)*1. Let b = 16 - i. Which is greater: b or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 3 = 3*d. Let x be (-182)\/(-8) - d\/36. Suppose 0 = 60*m - 51*m - 117. Solve 3*q + x + 9 = 4*y, -y + m = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 1. Let i(l) = -3*l**3 + 4*l + 9. Let v(q) = -i(q) + 4*u(q). Let z be v(5). Let f = 247 + z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 125*d - 121*d. Calculate the remainder when 56 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 44. Suppose 3*o + 22 = -5*b - 16, 0 = 5*b - o + q. Let z(u) = -4*u + 10 - 6*u**2 - 1 + 2*u**2 + 3*u**2. Determine z(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 285*o - 294. Calculate r(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxhhgggxxxkxhnxh. What is prob of picking 2 h and 1 g?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**3 - z**2 - z + 1. Let w be t(1). Let u = -2 - -13. Let b = -8 + u. Solve -i = b - w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21697 divided by 13.\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + -17)*(-1)\/2. Suppose 2*u + y = 11, -4*u + y + 9 = -h. Sort -2\/17, u, -1\/2 in decreasing order.\nAnswer: u, -2\/17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u + 143. Let p(g) = -g**3 - 33*g**2 + 153*g - 101. Let v be p(-37). Let c(k) = -1. Calculate v*c(n) - 2*j(n).\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 18*c - 2745. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -18. Let i(q) = 3*q + 0*q - a*q. Let c(u) be the second derivative of -u**4\/12 + u. Determine i(c(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2349\/4 - 587. Let v = 0.26 - 0.16. What is the second biggest value in v, r, 2, -25?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*m, 3*u + m = -m. Let h(i) = 4*i + 1. Let x be h(u). Let j(q) = 2*q**2 + 5*q + 10. Let f be j(x). Round f to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2247 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*a - 2873 - 4672 = 0 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*j + 16, 7263*j = 7255*j - 2*s - 26 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -375*x**4 + 374*x**4 - 2017*x + 8012 + 2017*x - 3984*x**3 with respect to x.\nAnswer: -4*x**3 - 11952*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151261974 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {n: 2, x: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -5 (b) 0.4 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03039? (a) 1 (b) 2\/5 (c) -0.5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 469 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + d - 2*r + 29 = 0, 3*d + 6*r = -171*r + 2127 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, t: 3, k: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/sqrt(4)*2 - sqrt(55))*3)\/(sqrt(180) + ((sqrt(180) + sqrt(180)*2)*3 - sqrt(180)) + sqrt(180) - sqrt(180)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 370639527 to the power of 1\/2, to the nearest integer?\nAnswer: 19252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*(((-16)\/(-12))\/(-4) - 3). Suppose 0 = -2*f - 3*l + k, -f + 3 = -l - 7. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(204) - (3*sqrt(204) - sqrt(204)))*1)\/(sqrt(12) + (sqrt(12) - (2*sqrt(1452) + sqrt(12)))).\nAnswer: sqrt(17)\/21 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkykykyykefkkk. What is prob of sequence ef?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*q**4)*(1 - 1 + 3)*(-1 + 1 - 2*q).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 43390 and 43389 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 0*b + 2*b**2 + 4*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -192.862 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -31*-2*(-1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = p + 3*p. List the prime factors of 31\/4 - (-9)\/p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2. Let n(d) = -19*d**2 + 8*d**2 - 2*d**2. What is n(s(g))?\nAnswer: -52*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {q: 8, p: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(98)) + -1 + 5 + -5*(5 + sqrt(6)\/sqrt(3) + sqrt(18)\/(sqrt(9) - (sqrt(9) - 1*sqrt(9)))) + 3)**2.\nAnswer: -792*sqrt(2) + 1132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (1 - (11 - 6 - 11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -4)\/(147\/406). Let f = w + 680\/231. Factor -2\/11*v - f*v**3 + 4\/11*v**2 + 0.\nAnswer: -2*v*(v - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2736)*-2*-2 + 1 + sqrt(2736) + -1) + -2)**2.\nAnswer: -1440*sqrt(19) + 2462404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-five halves of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.3 (b) 0.2 (c) -13 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 848*t + 9. Is c(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o - 8. Let c be j(7). What are the prime factors of 1\/((6\/c)\/3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 11) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05214 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13*h**2 - 11*h - 11. Let r(x) = x**2 + x + 1. Let w(v) = 2*c(v) + 22*r(v). Let k(a) = -5*a**2 - a - 1. Let b(i) = 5*k(i) - 6*w(i). Determine b(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, p: 2, w: 6, y: 1}. What is prob of picking 1 p and 1 k?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-686)*-7*-3*(-9)\/81.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -7.19576.\nAnswer: -9.19576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 11*g**2 + 3*g - 2. Let j = 33 - 28. Suppose m + 14 = -2*f, -j*m - 4*f = -2*f + 54. List the prime factors of y(m).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -814 and -3888 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*s + 2*s + 10*s)*(-s**4 + 3*s**4 + 0*s**4).\nAnswer: 94*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, 289 in ascending order.\nAnswer: -3, -2, 2, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52251555 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.4 (b) -4\/7 (c) -86 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 4*r**2 - 3*r. Let n be f(-3). Let i = -35926.7 - -36145.7. Is n not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 19*q**2 + 34*q + 20. Let d be o(17). Suppose -d*c + 26 = -334. Calculate the greatest common factor of 171 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -9, -1, 3, 18.\nAnswer: -9, -1, 3, 18, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1984391 (base 10) to base 5\nAnswer: 1002000031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from {l: 1, s: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3\/9)\/(26\/273)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.677578 to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**4\/12 + j**3 + 5*j**2\/2 - 13*j. Let o be d(-6). What is the highest common factor of o and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 444496548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -53067 divided by 2527?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + 0 + -27 + (14 - 3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64 or -70?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 + -13.9602175247.\nAnswer: -37.9602175247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-1\/2))**33)**(-29))**(-5))**46 assuming t is positive.\nAnswer: t**330165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/24*(-16)\/42. Suppose 15 = 13*s - 8*s. Which is the nearest to s? (a) 3 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 24, 33, 42?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 + (72\/(-21))\/(8019\/(-1386))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 63*f - 57. Suppose -189 - 9 = -9*h. What is the remainder when a(2) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81 in 2, 38\/3, 0?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177\/4 + -45. Put -4\/7, q, 4, 3 in decreasing order.\nAnswer: 4, 3, -4\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1*(-12)\/(-18)*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*t - 45 = 0, -4*v - 2*t - 2 = -7*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.4, 0.05, -0.3, 33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j - 15*j + 24*j)*(2*j**2 + 2*j**4 - 2*j**2) + 3*j**5 + j**5 - j**5.\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 120*l - 405.\nAnswer: 5*(l - 3)*(l + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 4, 7, -7 in descending order.\nAnswer: 30, 7, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aausanaucanaassaauac. Give prob of sequence ncns.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-5 - -4) + -7 - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 12:14 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rka when three letters picked without replacement from {k: 1, r: 1, o: 1, a: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*p + 6. Differentiate -1 - p - d + 0 + 1 with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -2*w - 1\/12*w**2 + 1\/72*w**4 - 1\/36*w**3 + 8 + 1\/120*w**5. Let o(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -8, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a12 (base 12) in base 9?\nAnswer: 46255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 16. Let b(a) = -18*a - 240. Let d(g) = -b(g) - 15*o(g). Let u(t) = 57*t - 3. Give d(u(m)).\nAnswer: 171*m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-335)\/(-9) - (-12)\/(-54). Suppose h = 2*h - w. Suppose 0 = -3*n - 3*x + 45, 0*x + x = 3*n - h. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -322441380 to the nearest one hundred thousand.\nAnswer: -322400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16633, 16625, 16627, 16645, 16685, 16753, 16855, 16997?\nAnswer: 17185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*g**2*i**5 - 56*g**2*i**3*w - 2*g**2*i*w + 77*g*i - 14*g*w wrt i?\nAnswer: 460*g**2*i**3 - 336*g**2*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 2*z - 2. Is g(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**4\/24 - s**3\/6 - 4*s**2. What is r(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {t: 2, p: 2, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2. Let u be (-1 - 1\/(-6)) + 43 + -42. Let t(k) be the second derivative of 0*k**2 + k + 0 + 0*k**3 - u*k**4. Determine t(x(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 45.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7570, 20631, 39174, 63193, 92682, 127635, 168046?\n\"Answer: -r**3 + 2747*r**2 + 4827*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -2539, 1\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 30 = -11*g. Let p(b) = 160*b + 160. Does 7 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w - 91 + 91 + 0*w - 2*w + 3*w + (2 - 3 + 3)*(1 - 1 - w))*(31*w + 736 - 736).\nAnswer: -496*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(45) + 0 + sqrt(5) + (sqrt(80)\/sqrt(4))\/sqrt(4)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3. Let b(a) = 3*a**3. Give -3*b(l) - 2*n(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - v + 2. Give a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 - 595*x**2 + 2387*x + 8945\/3.\nAnswer: -(x - 5)*(x + 1)*(x + 1789)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -7*o + 49. Suppose 2*d - 2*t = -25 + 3, 3*t = 2*d + 26. Put 5, o, d in descending order.\nAnswer: 5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -794, 2\/199, -3\/7 in decreasing order.\nAnswer: 0.1, 2\/199, 0, -3\/7, -794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.2 (b) -0.5 (c) -10 (d) -5 (e) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 7. Is (-5 - -7)\/(t\/(-370)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*a + 4 - 15*a - 26*a)*(-2*a**2 + 0 + 0).\nAnswer: -18*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 10*m + 4. Let l be r(-10). Suppose 5*o - t - 1436 = t, 0 = -l*o - 3*t + 1158. Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = 14*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 18 = 6. Let t be (-3 + -4)*12\/(-14). Sort -2, m, t.\nAnswer: -2, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1627, -1250, -6049, -12770, -21413?\n\"Answer: -961*p**2 + 6*p + 2582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 28*n**3 - 3*n**2 + 8*n. Let z(m) = m**2 - 2*m - 1. Calculate o(s) + 3*z(s).\nAnswer: 28*s**3 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u. Suppose -y - 13 = -5*n - 1, y + 2 = 0. Let g(d) = -3788 + 3788 - n*d. Give g(p(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25901 - -0.34099. What is the nearest to 3\/5 in -66, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u - 66*u = -469942. Suppose -6*z + 11*z + 8557 = 2*h, 5*h = 2*z + u. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 3. Let h be 8*1 + -12*(-10)\/(-20). Determine g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyycycyyyyyyyy. Give prob of sequence cccy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 91.828. Let d = 0.17199769 - j. What is d rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*m + 32, 0 = 2*t - 0*t - 3*m - 17. Let l(h) = -h**3 + 9*h**2 - 4*h - 10. What is the tens digit of l(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14913 + 393*c**2 - 14913 + (-3 - 2 + 3)*(4*c**2 - 3*c**2 + 5*c**2) - 4*c**2 + c**2 + c**2.\nAnswer: 379*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -41547?\nAnswer: 41554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872750 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12892 + 12890. Put -5, 0, u, 29 in descending order.\nAnswer: 29, 0, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1145*l**3 - 2289*l**3 - 96*l**5 + 1137*l**3)*(-3 + 6 - 5).\nAnswer: 192*l**5 + 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 24*y + 29*y - 140 = 0, 3*u + 4*y - 19 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.27 - 0.23. Let z = -0.1 - -0.2. Which is the closest to z? (a) 0.3 (b) n (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s + 9*s + 34*s)*(0 + 0 - 2)*(-6 - 1 + 4) + (s + 0*s + s)*(1 - 2 - 1).\nAnswer: 356*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q + 36 = 0. Let f = q - -21. Suppose 0 = d - 3, -f*h - 2*h + 243 = d. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 4087?\nAnswer: 1634.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:37 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ceee when four letters picked without replacement from {c: 1, e: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 157a - 20126?\nAnswer: -1c98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (5 - -4) - (4 + -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.7 - 8. Let w = -1.061 + 0.361. Let a = w + x. Sort 7, -1, -0.5, a.\nAnswer: a, -1, -0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5298609 is divided by 110386?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05279 - -3.46721. What is the biggest value in j, 1, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 2*c**5 + 3*c**5 + (-c + 0*c - c)*(-c**4 - c**4 + 0*c**4) + c**5 + 3*c**5 - 2*c**5 + (0*c - 2*c + 3*c)*(-4*c**4 + c**4 + 4*c**4).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/8 and 25\/332.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21240 divided by 72.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -9. Solve -20 = -b*g + 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let v = -24382\/3 + 8128. Factor v*d - 2\/3*d**3 + 1\/3*d**4 - 1\/3*d**2 + w.\nAnswer: d*(d - 2)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640632 is divided by 53382.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 6:33 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i. Let q(n) = -48*n**2 - 54*n. Let a(l) = -4*q(l) - 216*u(l). Let f(c) = -3*c**2. What is a(f(o))?\nAnswer: -216*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.59 + -1.21. Let h = l - -9.79999949. Round h to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*h - 32*h + 8001 = 197*h. Suppose 4*w - 5 = 7. Solve 3*m - 1 = 4*a, 0 = -w*m - 5*a + h - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 3, 2, 1\/15?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*w + 26 + 67 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/17 + 5014428*j\/17 - 3143061020898\/17 = 0 for j.\nAnswer: 1253607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 2*n + 183 - n - 226. What is the remainder when 101 is divided by z(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.102 + -0.202. Let l = 711\/7 - 102. Which is the closest to x? (a) l (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*g = 593*g + 5*n - 12, 5*g + 9 = 2*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1029.53 - -416.86725.\nAnswer: -612.66275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -560, -3, -5 in increasing order.\nAnswer: -560, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -6*q + 26, -20 = -65*l + 63*l - 4*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, 0.2, 0.4, -0.1, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**5\/4 - 10*h**3\/3 + 67*h. Factor d(a).\nAnswer: 5*a*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1232 and 14537360?\nAnswer: 1119376720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 7. Let b be d(-9). Suppose -b*j - 17 = -r - 0*j, 46 = 2*r + 2*j. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -3655.37 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170558.\nAnswer: 2, 107, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312919 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, o: 5, g: 3, i: 2, w: 1, t: 3}. Give prob of sequence giw.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**7\/840 + l**6\/60 + l**5\/60 - l**4\/6 - 2*l**3\/3 + 126*l**2. Let a(p) be the first derivative of c(p). Give a(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 242215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 56*c + 35. What is the units digit of o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6560*p + 7. Let q be g(3). Let t = 34038 + q. Calculate the remainder when (-2)\/(-9) + t\/117 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 429.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b + 1180. Let y be d(0). Suppose -4*a = 0, 2*k = -2*k - 5*a + y. What are the prime factors of k?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4316717 is divided by 53.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*r**5 - 2*r**5 - 10*r**2 + r**2 wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -515 - 149*f + 515 to the form d*f + b and give d.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 850 and 120.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/8)\/((-9)\/12). Let p(w) = 9*w**2 - 4*w + 1. Let b(i) = i**2 - i + 1. Let k(g) = -2*b(g) + p(g). Is k(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -0*a - 5*a + 30, -4*a + 6 = 5*t. Suppose 0 = d - 2*p - 7, -2*d + 0*p = 2*p + a. Suppose -v = -d - 0. Solve i = -5, 0 = 3*k - 3*i + v - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(-1 + 1 - m**4) + 0*m + 2*m**4 + 0*m - 1149 - 1117 + 303*m**4 + 2265.\nAnswer: 308*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/151 in -3\/5, 2, -37?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14266770 and 278376.\nAnswer: 57067080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvhhhhvvhvhhh. Give prob of sequence hvv.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + 19?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (5 - (2 + 0)). Let o(m) = m**2 - 5*m + 4. Calculate o(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 + -1 + -2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1194.7 + 733. Let t = -462 - d. What is the second smallest value in t, -2\/3, 3.4, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302504 (base 6) to base 3\nAnswer: 1012211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 33520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41\/42 - 5\/14. Suppose -11*l = -2*l. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -5*n. Suppose 5*g + 9 = n*t - 91, 0 = t - g - 36. Differentiate 8*v**2 - t + 2*v - 2*v + 53 wrt v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -197 + 376 + 2*j**3 - 2*j**2 + 53*j - 175 as q*j**3 + k*j**2 + b*j + v and give b.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1339.472 and -0.4?\nAnswer: 535.7888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 20*h - 14. Let t be b(-18). Solve -t + 2 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253352189 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**4\/12 - 10*r**2. Let t be w(0). Suppose -6*f + 5*f + 5*z + 5 = 0, 4*z = -3*f - 4. Is t >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(99) - sqrt(99)) - (sqrt(99) + (3*(sqrt(99) - -1*sqrt(99)) + sqrt(99))**2 + sqrt(99))) + (-1*(2*sqrt(2816))\/sqrt(4))**2.\nAnswer: -2036 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 1, o: 6, z: 1}. What is prob of picking 1 w and 1 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 877.4445 and 0.09.\nAnswer: 78.970005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.517 - 0.517163. Round r to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + (sqrt(1573) - (sqrt(1573) + 2)) + sqrt(1573))*5 - (5 + 1*sqrt(1573) + (-4*(-2 + sqrt(1573)) - sqrt(1573)))) + 0)**2.\nAnswer: -2574*sqrt(13) + 127582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26914 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 3. Let v(c) = -c**3 - 2*c**2 + 5*c. Let n be v(b). Let f be 1 + 5\/(15\/n). Solve -6 = f*o + m - 18, -3 = m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 20 - (-3 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48288 divided by 5.\nAnswer: -48288\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 3*z**4 - z**4 - z**4 + z**4 + z**4 + (0*z - z + 3*z)*(-2*z**2 + z**3 + 2*z**2) + (23 - 23 + 8*z)*(0*z**2 + 4*z**3 + 0*z**2).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.57121 from 2.7113595.\nAnswer: 1.1401495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3235359, 3235360, 3235361, 3235362, 3235363, 3235364?\n\"Answer: j + 3235358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:41 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*3*-6.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 496 - 482. Solve 0 = 2*u - c + b, 3*u - 2*c + 23 = -0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 15*x - 1. Give y(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*a = -2072 - 18508 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3 - 3 + 221*i - 151*i. Let l be (-2)\/((-5)\/((-45)\/(-6))). List the prime factors of a(l).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-16)\/((h**7\/h)\/h) assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/((1190\/30)\/(-17)). Which is the nearest to x? (a) -3 (b) -0.5 (c) -0.1 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10))**27 assuming v is positive.\nAnswer: v**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 766 divide 3730472088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/20226360 and -1\/35.\nAnswer: 20226360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -31*v**2 - v. What is o(-1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 - -94. Suppose 4*i + 10 = -i. Let v be (y - -16) + i\/(-1). What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 369, 552?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 107046 + -5257.9\nAnswer: 101788.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 d when three letters picked without replacement from eeeedeccceed?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74888, -149776, -224662, -299546, -374428, -449308?\nAnswer: -524186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2712)\/(-42) + 3\/7. Let f = -1 - -1. Suppose 4*p - 2*p - 52 = f. Calculate the highest common factor of p and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-3)\/(-36)). Let k(j) = j**2 + 7*j + 5. Let l be k(y). What is the third smallest value in l, 1\/3, 1\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82.7 - 73. Let o = d - 5.7. What is the nearest to -1 in 3\/8, 1\/2, o?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 6:41 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(972) + sqrt(12))*-1)\/(-3*sqrt(24)\/sqrt(4)*2))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145082*v**3 - 121457*v**3 + 390885*v**3.\nAnswer: 414510*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/13, 20.92 in increasing order.\nAnswer: -1\/13, 0.1, 20.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1184066 micrometers in kilometers?\nAnswer: 0.0000000001184066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(4032)\/sqrt(7)))**2*4 + -4.\nAnswer: -57\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*c**2*i**2*u - 26096*c**2*i**2 - c**2 + 607*c*i**2*u wrt u.\nAnswer: -11*c**2*i**2 + 607*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3075\/4920*114\/15?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*h + 138*h - 1315 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 9696774?\nAnswer: 9696779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 913 - 125 = 4*m, 0 = -2*m - 2*t + 406. Calculate the greatest common factor of 25 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 2*r**2 + r - 2. Let y be k(-3). Let h = 4 - -4. Let s be 1\/2 - (-44)\/h. Solve 0 = -y*v - 26 + s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - 103 - -12 - (-5 - (7 + 10 + -17)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n - 23369 - 8503 = 0. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4136035)\/16*(-36)\/(-30). Let w = 312844 + o. Let s = w + -2650. What is the common denominator of s and 79\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, p: 1, t: 1, u: 1, c: 2, s: 1}. Give prob of sequence ptcu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s - 390 + 339. Put s, -2, -50, -5 in decreasing order.\nAnswer: -2, s, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - j + 0)*(1 - 15 - 1 + (4 + 1 - 4)*(-4 + 3 - 2) - 1 + 1 - 2) in the form x*j + y and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-538)\/(-9) + (-10)\/(-45). Suppose y = -y - 4*z + 40, 5*z - c = -3*y. What is the greatest common factor of y and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -384 + -118?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/16*68\/255. Which is the third smallest value? (a) 5 (b) u (c) -1\/41 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 1166\/(-8) + (-7)\/28. Let r = h - -215. What is the remainder when r is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113566 + -46297. Let t = r + 9731. What is t rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**3 + 2*x**2 - x + 2. Let q be b(2). Suppose 590*d - 614*d = -2256. Let h = d + q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765 (base 12) to base 13.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 32975, -5, 1, 0 in descending order.\nAnswer: 32975, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = z - 0*z. Is 38 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-25))\/(2\/(-10)). Suppose -11 = -n - v. Solve -3*j = 4*z + 1 - 24, -n*z + 15 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233321 (base 6) to base 8.\nAnswer: 47361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggqggggtggdqqgq. Give prob of picking 3 q.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a - 2*a - 4*a + 7 + 8. Let q be o(-10). Suppose -q*z = -2*z - 381. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 5\/3, -4\/3 in decreasing order.\nAnswer: 70, 5\/3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497, -481, -463, -443, -421?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12976, 12853, 12650, 12367, 12004, 11561?\nAnswer: 11038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*z + 16. Suppose -u - 3*i - 7 = -z, -60 = -2*u + 3*i. Suppose -5*c = g - c + 23, -u = g + 3*c. Round g to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 2*o**2 + 7*o - 2. Let s be r(-4). Calculate the greatest common factor of 26 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -15. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -184.000252 to 2 dps.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -8, -13, -20, -29, -40?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -c - 3*c - 37, -a + 2*c + 1 = 0. Let d be 329\/(-35) - (-3)\/a. Is -9 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000111110 (base 2) to base 13\nAnswer: -1269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 9*x - 80. Give t(13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(208) + 3 + sqrt(208))*5 + 4.\nAnswer: 19 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18290 and 10620.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -45*s**2 - 76*s + 60. Is x(-2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6 = 2*p - n, 4*n = 4*p - 12. Suppose 2*y + 20 = 2*b, p*y - 95 = -5*b - y. Suppose 388 + 452 = 7*z. What is the greatest common divisor of b and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1 + 5 + x - 5 + 5. List the prime factors of u(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, l: 3}. What is prob of picking 2 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -61676 - 3?\nAnswer: -61679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 minus 274115114?\nAnswer: -274114290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -2\/5, 1, -2\/13, 0, 2\/137?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 = p + 9, 0 = n - 4. Let w be (-8 - -2)\/p - -6. Let r be 4\/((-4)\/(-1)) - -1. Solve w*j + j = 4*x + 27, 4*j + r*x = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b2229 - 1596?\nAnswer: -b3803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -22. Let w = 30 - y. Suppose 2*j = -3*u - j + 66, -5*u - 2*j = -122. What is the remainder when u is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93 (base 16) to base 12.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**2\/7 + 4*h - 10\/7 = 0 for h.\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -8. Suppose -i*q - 16 = -5*q. Solve 0 = 5*x - q - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(6\/(-78)) - -4. Suppose 2*b = -4*g - 6, -g - 4*g = 2*b + 10. Solve b*d = -2*a + 2*d + k, 5*a - d = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 195*y**2. Let g(d) = -1609*d**2. Let z(x) = 22*g(x) + 182*n(x). Let i(h) = h - 4. Let v be i(6). Let p(t) = -t**2 + 2*t - v*t. What is p(z(u))?\nAnswer: -8464*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 127 + -833.227\nAnswer: -706.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*h + 24 + 30 - 56 to the form u + a*h and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p - 272. Calculate the common denominator of 1 - 3 - 1 - p\/14 and 34\/21 - (0 + 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 + -109. Solve -t = 2*a + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1123 - -10?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -206418 minus -12126?\nAnswer: -194292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 divided by -3?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 7 - (-11 + -25 + 16)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 - -1. Let u = -8 - -5. What is the nearest to u in q, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 30. What is b(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12816*a**2 - 2505 with respect to a.\nAnswer: -25632*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -69, -82, -101, -126, -157?\n\"Answer: -3*f**2 + 2*f - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6596206 to two decimal places.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 5 = -f. Is f at most as big as 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -299 + 304.72. What is z rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40.38 - 40. Let r = c + 0.02. Let k = 1 - -1. What is the biggest value in 5, r, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.95. Let v = 0.050116 + i. What is v rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57204477 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-35)\/10 + 5)*6. Let b be (-17 + g)*(2 + 5\/(-2)). Let -3*c**4 - b*c**3 + 2*c - 11*c**3 + 12 - 9*c**2 + 13*c = 0. Calculate c.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -50, -67, -86, -107, -130, -155?\n\"Answer: -i**2 - 12*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 2*h. Let n be r(3). Suppose 0 = 4*m - 45 - n. Let t = -11 + m. Solve t*j = 5*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30070 + -203303269\/6761. Let y = -169009\/108176 - n. Find the common denominator of y and -7\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.8 - -31.3. What is the third biggest value in -4, 4\/3, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*t - 40, -2*t = -1 + 11. Suppose -3*v - 5*u + 75 = -100, -4*u = v - 49. What is the highest common factor of k and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279673 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -122*l + 115*l**2 + 53*l + 33*l + 34*l + 4*l**2 - 6*l**2 + l**2 + (-2*l + 0*l + 0*l)*(1 - 1 - l) + l**2 - 2 + 2.\nAnswer: 117*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1277955 + -1833592. Let l = c + 555495.9645. Let o = 141 + l. What is o rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = i + 3*i. Suppose 2 = l - 2. What is the least common multiple of i and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*p**4 - 86*b*p**3 - 379*b wrt p.\nAnswer: 8*b*p**3 - 258*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -17*l + 55. Let v be (-8)\/(-60)*(-3)\/(-7). Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 5*u**3 + u**2 - 20. What is the second derivative of w(r) wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**2 - 3*b**2 - 3*b**2)*(2 + 3 - 6) + 249*b**2 - 91*b**2 + 12*b**2 to the form x*b**2 + j + h*b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 780*c*u + 7*c + 2783*u - 9 with respect to c.\nAnswer: 780*u + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/36*(-19684)\/(-10545)*(-4)\/(8\/6). Suppose g*u**3 + 22\/9*u**2 - 2\/3*u - 22\/9*u**4 + 0 - 8\/9*u**5 = 0. Calculate u.\nAnswer: -3, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21b - -5?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 9. Suppose -c = -5*u + 29. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 5. Let k be g(-5). Which is greater: k or 10\/13?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -29. Solve 5*u - 19 = -3*b - 0*u, -b - d*u + 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.4. Let d = 3\/4253 + 8461\/63795. Let z = 920\/7 + -132. What is the third smallest value in d, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) 1\/2 (b) 8\/7 (c) 3\/7 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 53. Suppose 0 = -5*i + 6 + u. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-1)\/((-2)\/(-2)*-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 y when four letters picked without replacement from sssyysssssss?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 190356.8 litres in millilitres?\nAnswer: 190356800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214763 is divided by 820?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**3 + 5*r**2 + 11*r + 3. Let k(a) = 2*a**3 - a**2 - a - 1. Suppose -2*d + 18 = 26. Let j(l) = d*k(l) + c(l). Let j(w) = 0. Calculate w.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 99.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 14*o + 60 = -32*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 4*j = -4512. Round j to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 95*q. Let o(b) be the third derivative of -b**5\/60 + 2*b**4 + 2606*b**2. Calculate -3*h(w) - 5*o(w).\nAnswer: 2*w**2 + 45*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/79315 + -17544476\/79315. Let m = -220 - q. Which is the nearest to m? (a) -4 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (-10 - (2 - 12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -188*d**2 + 8*d - 1. Let n(o) = -569*o**2 + 25*o - 3. Calculate 8*h(m) - 3*n(m).\nAnswer: 203*m**2 - 11*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -53*m + 0*m**2 + 7\/4*m**5 + 0 - m**3 - 1\/4*m**4. What is the third derivative of q(g) wrt g?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 4\/3, 2, 11 in ascending order.\nAnswer: -2\/3, 4\/3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**3 - r**2 - 4*r + 2. Let t(c) = -c**3 - 2*c**2 - c + 1. Let a(x) = -s(x) - t(x). Let o(w) = w**3 - w**2 - w. Determine -a(y) - 3*o(y).\nAnswer: 4*y**3 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(5 + -1*sqrt(3)) - 5*(sqrt(27) + sqrt(54)\/sqrt(2))))**2.\nAnswer: 37440*sqrt(3) + 87408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1147146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.098\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2463275kg to nanograms.\nAnswer: 246327500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/5 (b) 4\/9 (c) 116535 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*t + 2*d, 0 = -7*t + 3*t - 5*d + 108. Let s = 1 - -10. Let a = 11 - s. Solve a*p - t = 2*p - 3*h, 4*p = -5*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*p**3 - 12*p**2 + 12*p**2 + (-3 - p**2 + 3)*(2*p + 0*p + 0*p) - 5*p**3 + 5*p**3 + p**3 - 5*p**3 + 5*p**3 - p**3 + 2*p**3 + p**3 - 2*p**3.\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 0, -1040 in descending order.\nAnswer: 3, 0, -9, -1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2 - 8. Let a(h) = -6*h**3 - 5*h**2 - 5*h - 8. Let k(y) = -3*y**3 - 3*y**2 - 3*y - 4. Let z(l) = w*a(l) - 5*k(l). Differentiate z(t) wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - 2*sqrt(156)) + sqrt(156))\/sqrt(3))\/((-2*sqrt(256) - sqrt(256)) + sqrt(256)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p - 5. Let i(x) = x**3 + 4*x**2 - 2*x + 17. Let m be i(-5). Let a(k) = -5*k + 9 + k - m*k - 9*k. Determine 5*a(o) + 9*n(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0*j**3 + 41\/2*j**6 + 0*j**4 + 183 + 23\/2*j**2 + 0*j**5 + 5*j. Find the second derivative of o(s) wrt s.\nAnswer: 2460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*m**3*r - 101*m**2*r**2 - r**2 + 11266*r wrt m.\nAnswer: 318*m**2*r - 202*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -15*s. Suppose -3 = -g + 3*l - 2*l, 5*l = 3*g - 13. Let r be b(g). What is the units digit of r\/(-5) + 1 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -32\/3, 4\/7, 472 in descending order.\nAnswer: 472, 4\/7, -32\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**5\/120 + 2*v**3\/3 - 1. Let r(x) be the third derivative of u(x). Let p(d) = -4*d**2 + 2*d - 2*d. Give r(p(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g**5\/4 + 6633*g**4\/4 + 134151*g**3\/4 + 113175*g**2\/4 - 370239*g\/2 - 37890 = 0. What is g?\nAnswer: -421, -20, -3, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c + 25. Determine j(6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 + 57674*x + 115352 = 0. Calculate x.\nAnswer: -2, 57676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -45*t**2 + 45268*t - 534770. Give b(994).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j - 11*j = -22*j + 442 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4242850 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*m**4 + 9*m**2 + 2420*m wrt m.\nAnswer: 1740*m**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c = -201 - 857 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*85\/(-255)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 1 (c) -3\/2 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 - 101*f + 138. What is x(-14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/266952 and 31\/348672?\nAnswer: 17084928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {n: 1, h: 7, m: 1, d: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 191*a**5\/5 + 41*a**3\/3 + 3*a**2\/2 - 122. Find the third derivative of z(s) wrt s.\nAnswer: 4584*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*t**3 + 13*t**3 - 19*t**3 + 0*t**3 + 2*t**3 + 0*t**3 + (2*t**3 - 1 + 1)*(3 - 4 + 3) in the form g*t**3 + w*t + f*t**2 + o and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 26002*i**2 + 1189 - 1191 - 26000*i**2. Let f be 36\/(-10) + (-4)\/10. Determine n(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 0*o + 6*o)*(-129 + 152 + 208 + 237) in the form i + m*o and give m.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4455*m + 4459. Determine r(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102333 (base 4) to base 6.\nAnswer: -5343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23206 divided by -3?\nAnswer: -23206\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*s + 21*s - 14*s)*(-2*s**3 + 4*s - 4*s) + 6*s**2 + 2*s**4 - 6*s**2.\nAnswer: 14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5 - 1. Let k = -1 + b. Let x be (-34)\/k + (-4)\/(-6). What is the greatest common factor of 36 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000217487 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.9 - -20. Let j(m) = m**2 + m - 3. Let n be j(-3). Suppose -3*f - 4*r + 0 = -22, -f - n*r = -14. Which is the closest to x? (a) -5 (b) f (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + 3.2. Let l = -72 + 70. What is the second smallest value in -5, l, h, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -20, 4*v - v = 2*j + 237. Let s = j + 190. Suppose 0 = 15*g - 16*g + s. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 34110.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + 2*m**2 + (25*m - 15*m + 15*m)*(m + 0*m - 4*m).\nAnswer: -73*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**5 - 844*k**4 + 4956*k**3 - 7380*k**2.\nAnswer: 4*k**2*(k - 205)*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24000 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918376189 to the power of 1\/2, to the nearest integer?\nAnswer: 43799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -369616 divided by -32?\nAnswer: 23101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2798 - 2796. Solve 0 = 4*a, 2*x + 14*a = 10*a + u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -98 and -3.0408.\nAnswer: -101.0408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + v + 0*v + (-v + 3*v - v)*(3 + 1 - 5) + 1357 - 1357 - 70*v)*(-71 - 72 - 12) as m + d*v and give d.\nAnswer: 10695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1031 + 1057. Calculate the remainder when 259 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 16, 5*y + 2*q + 46 = 3*q. Let n be ((-24)\/y)\/(6\/20). Suppose 5*h - n = h. Solve -f + 3*f + c = -2, -c = -h*f + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (4 + -2 + 0 + -4 + 8 + 2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91941 + 20962505\/228. Find the common denominator of d and 17\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4333880 to the power of 1\/2, to the nearest integer?\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a. Let z(n) = -7511 + 7511 + 6*n. Give 7*p(k) - 2*z(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462652 is divided by 5264?\nAnswer: 4684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10483 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*u - 44*u - 28704 = 0 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 201910 divided by 8\nAnswer: 100955\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 179071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-668)\/4175)\/((-3)\/((-15)\/2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/4)\/(2\/(-8)). Suppose u = 2 + m. Let w(h) = -h**3 - 4*h**2 - h - 5. Let x be w(-5). Solve 0*a - u*a - x = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**24\/((g*g*g**(-24)\/g)\/g) assuming g is positive.\nAnswer: g**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172709*z**2 + 602606*z wrt z?\nAnswer: 345418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7112)\/(-264) - 12\/(-9) - (-15)\/(-55)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 0*k**2 + 3*k**2)*(2 + 0 + 1)*(15*k - 10 + 23*k + 10).\nAnswer: -114*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1820 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.1, 1\/3, -449?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640)*-1*5 + (sqrt(640) + sqrt(640)*2)*-6)\/((sqrt(45) - (sqrt(405) + -1*sqrt(405)))\/(sqrt(441)*1)))**2.\nAnswer: 3317888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134870*y**2 - 465*y + 153*y + 26 + 156*y + 156*y - 134865*y**2.\nAnswer: 5*y**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 - 3*i + 10. Let g(r) = -4*r**2 + 2*r - 9. Let o(c) = -3*g(c) - 2*l(c). Find the first derivative of o(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9136700 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 455 - 455. Suppose f = -17*i + 54646 - 5397. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*b = -12, 4*c - 12 = -7*b + 5*b. Let u(w) = -w**3 + 3*w**2 - 6. What is u(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -14599*p - 43730. Determine m(-3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, q: 4, w: 4}. What is prob of picking 1 w and 1 q?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0615172 - 10.0614212. Let c = -10 - w. Round c to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c484 (base 14) to base 3.\nAnswer: 1201101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 13 (c) 1\/3 (d) 35 (e) -1417\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 m when three letters picked without replacement from {q: 2, l: 1, m: 1, h: 6, g: 7, e: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-1)*3\/(-1). Let f be ((-6)\/(-7))\/((-27)\/p). Suppose 0 = 5*t - f*m - 1447, 5*m + 0 = -15. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 876*y + 48351. Give o(-54).\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 8551 and 7937 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 90, 6 in decreasing order.\nAnswer: 90, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/10338 and 8\/3.\nAnswer: 10338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*x = 903*x + 5058 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 - 54. Suppose -4*j = 2*f - 170, -3*j - j + f + m = 0. Is (j\/6)\/((-4)\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -71*n - 7. What is the units digit of p(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1872)*1 + 1)*-5)**2.\nAnswer: 3000*sqrt(13) + 47425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*f**3 + 40*f**3 - 6996824*f + 498*f**3 + 6996814*f to the form s*f**3 + z*f**2 + g*f + j and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48020731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001022001 (base 3) to base 10.\nAnswer: 40312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x + 1\/6*x**4 + 3\/2*x**2 + 0 + 1\/2*x**3. Suppose 2*v + 7 = -y, 5 = v + 4*v - 5*y. Give s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17\/13, 0.02, 13.56?\nAnswer: 13.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1335.9 - 1336. Put z, -154, 1 in decreasing order.\nAnswer: 1, z, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1017323, -1017341, -1017371, -1017413, -1017467?\n\"Answer: -6*y**2 - 1017317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -m - j, -m + j - 245 = -252 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -3 - -2)*11. Suppose 5 = 12*s - p*s. Solve -2*l = -s*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 3*q + 2. Calculate c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Suppose -25*p = -21*p - 16. Suppose -2*t + 16 = -3*k, p*k = k - 6. Sort c, t, -4 in descending order.\nAnswer: t, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575648163 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76422, 75480, 74536, 73590?\nAnswer: 72642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ced (base 16) to base 12.\nAnswer: -14179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 divided by 35?\nAnswer: -384\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = 3*g + z, 2*g + 25 = -5*z. Let t = -5 - -8. Let d = t + -8. Put d, 2\/3, g in decreasing order.\nAnswer: 2\/3, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -9. Let q(n) = n + 56*n**2 + 0 + 1 + 2*n + 1. Let i be q(-2). Calculate the greatest common divisor of m and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + c = -435, -3*c = 3*s - 7*c - 1305. Suppose -5*w = -s + 160. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.23 rounded to 0 dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 + 11*u + 9. Let h be t(-13). Suppose 22*l - h = 2*l. What is the least common multiple of 99 and l?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39545247 * 0.4\nAnswer: -15818098.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 196\/2984769 or 0?\nAnswer: 196\/2984769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1867599.472 rounded to the nearest 10000?\nAnswer: -1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(-3) - 2\/3. Differentiate 3 - h*p**3 - 2 - 2 with respect to p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 91\/1698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 347614017 and 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 0.50225.\nAnswer: -11.0495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51\/102 + (-1)\/2. Solve m*d + d = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 3*d + 3*d + 4.\nAnswer: 4*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1400 and 1589800.\nAnswer: 11128600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-6))**44 assuming n is positive.\nAnswer: n**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = r, -19*x - 402 = 3585*r - 3567*r for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 6 + 567)*(2*j - j - 5*j).\nAnswer: -2444*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61581, -123194, -184869, -246642, -308549?\n\"Answer: -6*q**3 + 5*q**2 - 61586*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 2*n + 0*n)*(-23*n**3 + 361*n**2 - 361*n**2).\nAnswer: 46*n**4 - 138*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4)*-3 - (1*sqrt(165))\/sqrt(3))\/(-5*sqrt(5)*-3*4).\nAnswer: -sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5358878 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*u - 17 = 0, -2*u - 2*u - 41 = -5*g. Let v(l) = -342*l + 33. Let r(q) = q - 1. Let j(s) = -5*r(s) - v(s). Is j(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - f**3 + 173*f - 171*f - 4 + 12. Let w be m(-4). Suppose -40 = -5*a - 4*o + 3*o, -5*o = -2*a + w. Is a equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 33*n**3 - 2*n**2 - 2*n - 2. Let t be y(3). Let u = t - 422. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 5 + 3)*(3*r - r - r) - 3*r + 4*r + 4*r)*(r - 3*r + r) as q*r + t + s*r**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169 + -124. Calculate the lowest common multiple of (-136)\/(-28) - (2 - y\/21) and (1\/3)\/((-5)\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 11514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 9 + (1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*p + l - 5, 3*p - 18 = -4*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 14*d**2 - d + 16. Let j be f(14). Suppose 7*k = j*k - 450. Let l = -626\/7 - k. What is the smallest value in l, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 291*o**2 + 2*o + 1. Let r be (-6)\/21 + (-92)\/(-28). Let c be (r\/(-2))\/(3\/(-4)). Is y(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43379 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: Let a(l) = -5*l - 3 + 9*l + 3*l**2 + 0*l**2 - l**3. Suppose 4*s = -3*v + 21, -v = -2*s + 5 - 2. What is the units digit of a(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 4. Let v be g(4). Let y = 1\/1893 - 99909\/1262. Let k = -79 - y. Put k, v, -4 in increasing order.\nAnswer: -4, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000272184845 rounded to 7 decimal places?\nAnswer: 0.0000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -785, -1571, -2357, -3149, -3953, -4775?\nAnswer: -5621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1476\/1230)\/(8\/(-30))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooo. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a meter in millimeters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3815.894 millennia?\nAnswer: 381589.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (6 - 16) - (-4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.97 to 0 decimal places.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 1 - -4) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 + 2*g - 2*g)*(4*g - g - 4*g) + (-2 + 5 - 4)*(4*g**3 + 10*g**3 - 7*g + 8*g) to the form o*g + l + z*g**2 + f*g**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1772.083 to the nearest integer.\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 6, -34, 34, 5, 3, 4 in descending order.\nAnswer: 34, 6, 5, 4, 3, -34, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 117. What are the prime factors of -3*g\/((-264)\/(-5024))?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 158010 and 26672088?\nAnswer: 133360440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 + 840 = 30*p - 544. Calculate the remainder when 1318 is divided by p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 2*i + 2. Let y be v(-2). Let j be ((-8)\/(-72))\/(y\/12). Factor 0 + 2\/3*x**2 + j*x.\nAnswer: 2*x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26190 = -29*h - 351. Is 33 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssqflqs. What is prob of sequence sfsq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {j: 1, q: 2, y: 4, x: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 77*a**2 - 4 + 28*a**2 + 2.\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 516323.25ns in hours?\nAnswer: 0.000000143423125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 30\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*y**3 - 425*y**2 + 17891?\nAnswer: -141*y**2 - 850*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66, -105, -144, -183, -222?\n\"Answer: -39*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -40*g**2 + g + 6. Determine w(-2).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 481643030 a multiple of 1066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(6)\/sqrt(3)*1) + ((sqrt(1088) - (-1 + sqrt(1088))**2) + sqrt(1088) - (sqrt(17) + (sqrt(1377) + 1)**2)).\nAnswer: -2467 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18)*437453 + 0. Let w = 97348 - d. Let l = 136 - w. Which is the second smallest value? (a) -1\/7 (b) l (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 3. Is 3*(a + 530\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -30. Let o be (-349)\/(3*t\/(-54)). Suppose -q + 4*f + 245 = 653, o = -5*q + 2*f. What is q rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -823*c**2 + 131698*c - 2865. Determine y(160).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 + 0*v + 0*v - 6207 + 6207 - 107*v**3 + (102 - 35*v - 102)*(v**2 - 3*v + 3*v) to the form n + r*v**3 + c*v + o*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 170817416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470230*-0.5.\nAnswer: 235115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 690448 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -246*i + 3146. Does 11 divide j(-74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:41 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -257 + -22?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 3*z - 62, -18635*z + 18633*z + 38 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.3 + -19.3. Which is the closest to 6? (a) 3 (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411163 is divided by 118.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -67996*z. Let u(o) = 16*o**2. Give i(u(h)).\nAnswer: -1087936*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89044727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.35, -8\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 1)*(3*t + 2 + 1 - 5).\nAnswer: -15*t + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 4*r + 1. What is the units digit of a(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 24*w + 11. Suppose -57*j + 884 = 11*j. Determine o(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21355 + 5?\nAnswer: 21362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k - 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -13*d**2 - 6*d - 4. Suppose 2*y = -12 + 4. Let m(t) = 14*t**2 + 7*t + 4. Let f(b) = y*m(b) - 5*s(b). Is f(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 7*f**2 + 0*f**3 + 0*f**5 + 0*f - 1\/30*f**7 + 0*f**6 + 0 + 1\/6*f**4. Find the second derivative of v(y) wrt y.\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 576694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 - 0 - 182\/(-49). Factor 11*m**2 + m**2 - 34*m**3 + 4*m**l - 4 - 20*m - 12 + 54*m**3.\nAnswer: 4*(m - 1)*(m + 1)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 13. Suppose -5*n + 1 = -x*p + 2*p, -n - 4*p = 7. Which is the nearest to n? (a) -0.3 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 739, 738, 737, 736, 735, 734?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(171) + 0.\nAnswer: -1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-1 - (-4)\/(-4)). Let j(r) = 4*r - c - r**3 - 6*r**2 + r - 5*r + 7*r. Give j(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 123327 = 5*t + 221110, 4 = -2*t. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 2. Let t be (-2 - -4)\/((-2)\/4). Let x = -99739 + 99848. Calculate the remainder when x is divided by b(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**3 - 70*v + 269?\nAnswer: -6*v**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 10. Is d >= 2\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 466 + 506 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 - 251*h - 252 = 0. What is h?\nAnswer: -1, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/28)\/(14\/(-490)*30)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -46, 0.3, -3?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1901504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63\/14*(-6)\/(-9). Solve g*o = -2*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1467 = -3*k, 5*k + 110*c - 109*c = 2445. What is the remainder when k is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 536*r**2*x**3 - 18407*r**2 + 2535*x**3 + 33*x wrt x?\nAnswer: 3216*r**2*x + 15210*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) - 27\/(-6). Let d be 27*1 - (-3 + q). Let s = -16 + d. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5422*v**3 + 2593*v**3 - 4 + 2648*v**3.\nAnswer: -181*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + 3*j - 3. Let m be n(1). Let s = -3198 + 3197.6. Which is the biggest value? (a) m (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 - 26*n + 18. Give p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2451 + 9861\/4. Calculate the common denominator of 87\/(3 + -4 - -11) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/31, 6, -2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*z - 45 = 0, -2*z - 209 = -5*f - 4*z. Let h = f + -38. Suppose -4*o = -h*n + 145 + 18, 0 = -3*n + 3*o + 162. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 11*o - 48. What is the remainder when 45 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9514, -16309, -23120, -29953, -36814, -43709, -50644?\n\"Answer: -h**3 - 2*h**2 - 6782*h - 2729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -9*g + 8*g. Let t be -5*(2 + (-39)\/15). Suppose 4*q = t*v + 298, 2*q + g*v - 4*v = 148. What are the prime factors of q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1) + (-1)\/(-3 - -2). Let p(k) be the first derivative of k**4\/4 - k**3\/3 + k**2\/2 - 3*k + 1. Calculate p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8 = 22. Let t = 20022 - 19955. Calculate the remainder when t is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 7*c = 7, -12*j - 1 = -7*j - 4*j + c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 268 or 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1160*w**3 - 2774*w**2 - 2014*w - 312 = 0.\nAnswer: -52\/145, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*h - 3 = 266*h. Suppose -5*c + 4*y = h*y - 3709, 4*y - 3714 = -5*c. What are the prime factors of c?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10001?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6039018 rounded to 3 dps?\nAnswer: 7.604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01369 and 136?\nAnswer: -1.86184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 23. Suppose 180 = -0*a - 5*a. Let u = a - s. Is u < -1\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 17.3. Let d = 0.9 + w. Let u = -0.02 - 4.98. Which is the second smallest value? (a) u (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = 5*k, 3 = -5*d - 3*k. Let z(v) = v**2 - v - 2. Let q be z(-3). Let r be (q*2\/4)\/1. Which is greater: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 9:21 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 83790160.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**2 + 55 - 56 - j**2 + (4 - 2 + 0)*(-3 + 3 - 1)*(2*j**2 - j**2 + 0*j**2) as z + k*j + p*j**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0 - 1\/2*d**4 - 50*d + 0*d**2 - 73\/6*d**3 + 1\/5*d**5. What is the second derivative of v(o) wrt o?\nAnswer: 24*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*a**2*l**5 - 211*a**2*l**3 - 466*a**2 + 8*a*l wrt l.\nAnswer: -760*a**2*l**3 - 1266*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 5*d**2 + d + 12. Suppose 42*b + 3*b = -8*b - 265. Calculate s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {a: 3, v: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1026 + 993. Let b = 84 + -118. Does m = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 2*u - 2*u + (0 + 0 - 2*u**2)*(u + 2*u - 2*u) - 2*u**3 + u**3 + 2*u**3)*(-2*u**2 + 2*u**2 - u**2).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9331 is divided by 3552?\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 673, 2\/115 in descending order.\nAnswer: 673, 3, 2\/115, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veb when three letters picked without replacement from gghvvbbghbbssbgveb.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxsxzsassaasasixi. Give prob of picking 1 i, 2 x, and 1 a.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*s - 9*s**4 - 50*s + (-2*s**2 - 2*s**3 + 2*s**2)*(7*s - 2*s - 2*s) - 3*s**4 + s**4 + s**4.\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + 79 + 24 + (-2 - 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -5?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 474 + 258 = 0. What is the smallest common multiple of p and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 2*s - 2. Let x be f(0). Let b(r) = -17*r - 11. List the prime factors of b(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 + 4 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4 + 238*k**3 - 18534*k**2 + 104562*k - 153468 = 0.\nAnswer: -174, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-276)\/920 - (-51726)\/20?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d\/(d\/(d*(d*d**6)\/d*d)*d))))\/(d*d**(4\/3)\/d*d))\/(d**(-2\/3)\/d)**(-2\/45))**42 assuming d is positive.\nAnswer: d**(1736\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33437532 times 0.21?\nAnswer: 7021881.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4444 and -5.\nAnswer: 22220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/513 and -3 - ((3 - 3871\/567) + 0).\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.003792 rounded to 4 decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-12))\/((-2)\/18). Suppose -2*u + h*u = 16. Solve u*y + 0*y - 4*r + 4 = 0, r = -3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -91. Suppose b*n + 1980 = 17*n. Is -1945*((-2)\/(-6) - 88\/n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 3. Suppose -5*n + 50*n - 90 = 0. Suppose -4*h = n*a - 6, 5*a - 15 = h - 0. Give i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6362 is divided by 5977.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194710 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 13*j + 9. Let v be p(17). Let t = v + 152. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x**2 - 5*x - 5. Let o(y) = -11*y**2 - 4*y - 4. Let h(p) = p**2 - p - 85. Let q be h(10). What is q*o(w) - 4*r(w)?\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.4 (b) -134 (c) 0 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 + 2*w - 4. Let p(z) = -z**2 - 27*z - 24. Let n be p(-26). Let t = 0 + 2. Let g(i) = 4*i**2 - 3 + 2*i - 2*i**t + i**2. What is n*k(l) - 3*g(l)?\nAnswer: -l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 37\/12*k**4 + 0*k**2 + 0*k**3 + 2*k + 9. Let b(a) = -2*a. Calculate b(d(i)).\nAnswer: -74*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 274*n**2 - 70*n - 195. What are the prime factors of z(-12)?\nAnswer: 3, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -677 - -1603. Is z a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.097000072 - 0.097. Round u to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 870*n + 37845.\nAnswer: 5*(n - 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 116089883 divided by 1275713\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(68))*2)**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5221 - 2?\nAnswer: 521a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**8\/6720 - c**5\/60 - c**4\/4 + c. Let z(v) be the third derivative of j(v). Differentiate z(h) with respect to h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 40*i + 108 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/353416?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 114*w**3 - 121*w**2\/2 + 185*w. Is f(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(15))\/sqrt(5) + (sqrt(21)\/(sqrt(700) + sqrt(7)) - sqrt(3)))*4.\nAnswer: -128*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 1.1, -1\/4, 2772?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 4*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 308.807 or 0.161?\nAnswer: 308.807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -2. Let m = x + 5. Let q be 42\/45 - (-1)\/m. Which is the second smallest value? (a) -1\/3 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47.50647l?\nAnswer: 47506.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/13950 and -133\/31620.\nAnswer: 474300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + -44782?\nAnswer: -44833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2493.7 + -2495.6009. Let g = -0.2 + 2.1. Let d = g + i. What is d rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890*z - 446*z - 3*u = 442*z - 19, 5*u - 15 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1 + (-16)\/(-4). Suppose -d*x - 28 = 4*n - 13, -x + 2*n + 5 = 0. Let y be 0\/((4 - x) + -3). Solve y = 3*l - 4*l + 3, l - 3 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -1 - (6 - 8). Suppose -5*x = -5*a + f*a - 8, -a = x. Let n = a - -8. Solve -n*t = -3*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81811.47ml to litres.\nAnswer: 81.81147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 15 + 36\/(-4)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than or equal to -255.7965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2702 = -4*c, -3*c + 458 = 5*k - 1571. Let g = 1507 - c. Let w = g + 1385. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*8.1.\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by -116.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1309 - 1301. Let j(h) = -h - 7. Determine j(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/5 + 5706*s**2\/5 + 62544*s\/5 + 11368 = 0 for s.\nAnswer: -2842, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 13*r + 23. Give w(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(((q**(-2)*q)\/q)\/q))\/q)\/q)**(-4\/3)\/((q*((q\/(q*q**(-1\/4)*q))\/q)\/q)\/(q\/q**(-1)*q)) assuming q is positive.\nAnswer: q**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1639828 and 8668.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126545255*b**3 - 1281817*b**2 - 22*b - 2.\nAnswer: -759271530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13020853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 minus -84276?\nAnswer: 84275.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 3*f**2 + 3*f + 2. Let w be s(4). Let i be (w\/3)\/2*-12. Factor -2 + 4*d + 2*d**4 - d**3 - i*d**3 + d**3.\nAnswer: 2*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1075*n**5 + 2573*n**5 - 985*n**5 + 5 - 2*n**5 - 5 + 0 + n**5 + 0 + (0*n - 2*n**2 + 0*n)*(2 - 2 - 2*n**3) + 0*n**5 - 2*n**5 + 0*n**5.\nAnswer: 514*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*n**3 - 6685*n**2 - 40639*n?\nAnswer: -114*n - 13370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 10. Suppose -16 = 3*o - 7. Calculate the lowest common multiple of 2 and b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -736 = 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 h when three letters picked without replacement from qfpffiqhqppfifih.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 3*d - 3. Let s(t) = -t. Let a be s(-2). Let b be i(a). Let z = b - -19. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + ((2*-2*sqrt(125)*2)**2 - (sqrt(125) - (-2*sqrt(125)*3)**2)*5))*-1.\nAnswer: -30507 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4552\/1073527 + 6\/3263. Let b = 60017997 + -217205128204\/3619. Let y = q + b. Calculate the common denominator of y and -34\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59072 and 1612?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/24 - 4*h**2. Let j(r) = -r. Let w(x) = -7*x. Let o(v) = 24*j(v) - 3*w(v). Give o(u(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzw when three letters picked without replacement from zwzwwwwzzwwwwwwzwwz.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 892691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/9 - 0)*-3. Calculate the highest common divisor of 35 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 2*y + 1. What is the lowest common multiple of 305 and l(7)?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -195, -203, -211, -219?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-60)*5*6*2\/49?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.23, 2\/3, 3?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 50\/(-15)*12\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 3252*o + 660680.\nAnswer: 4*(o + 398)*(o + 415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/230 and -7\/2930.\nAnswer: 67390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 490 - 459. Let f be (-4)\/(-14) + (-60)\/14. Put -2, p, f, 0.5 in increasing order.\nAnswer: f, -2, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121 + -127 + -25 + 0 + -1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**11*n*n)\/n)\/n*n)\/n**(2\/17)*(n**(-2))**(-1\/28) assuming n is positive.\nAnswer: n**(2845\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-32)*2*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1399 or 1?\nAnswer: 2\/1399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/51, 2, 3.3, -3\/5, -1\/2, -29.\nAnswer: -29, -3\/5, -1\/2, 2\/51, 2, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 2*r - 14, -r = 9*c + 4*r - 31 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299 divided by -28?\nAnswer: -2299\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 4*i + 2. Let h be l(-4). Suppose 4*a + 12 = 4*v, 0 = v - h*a - 0*a + 2. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -272 + 282. What is the units digit of 10\/(-2) - j\/(50\/(-2895))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 40 = 2*s + 3*s, -5*s = 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 1 - (2 + -38)) + 8.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 - 138*l**4 + 285*l**3 - 144*l**2 = 0. What is l?\nAnswer: -48, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 5*b = -966. Suppose 46*y = b*y + 1964. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p - 21. Let w be z(-19). Suppose -s - 3 + w = 2*d, 4*s + 5*d = 41. Calculate the least common multiple of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1. Let g(q) = 1 - 3*q + q + 0 + 7*q. Let j(p) = 2*c(p) - g(p). What is the units digit of j(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 2*f - f**2 + 3 - 2*f + f. Let u be d(-4). Let r = 23 - u. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -2\/959 (c) -2946\/19 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-9))\/(1\/9). Suppose -5*p - 37 = 3*i, 2*p + i + s = 2*i. Does 23 divide (150 - (-7 - p))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:42 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*3\/(-6)*(-14)\/(-7). Calculate the lowest common multiple of 4\/6 + ((-436)\/(-12) - m) and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38668.29 to the nearest 100.\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/9)*x*x**(-4)*x*x*x)**(-8)*x**(-11)*x**1*(x*x\/(x**(-1\/4)*x*x))\/x assuming x is positive.\nAnswer: x**(-611\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(25)\/sqrt(5)) + ((sqrt(112)*-2 + sqrt(112) - sqrt(112))\/sqrt(7) + sqrt(16) - sqrt(16)))\/(sqrt(64)\/(sqrt(80)\/sqrt(10)*6 + sqrt(8))).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.58 - -3.08. Which is the biggest value? (a) -12 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 + 3*u**2 + 6*u + 111 - 111.\nAnswer: -5*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18\/(-3 + (7 - 2)) and 46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y**4 - 82580*y**3 + 262895*y**2 + 3647660*y - 3828000 = 0.\nAnswer: -29\/5, 1, 8, 3300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 46, 63, 86?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6600 or 6494?\nAnswer: 6600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2)\/(1\/(-6)). Solve -2*m = v*a - 2*a - 4, 5*m = -a + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**3\/3 - 7*l**2 + 44*l + 10. Let f be s(-18). Let z = f + 23. Sort -3, -42, z in decreasing order.\nAnswer: -3, z, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (2\/44)\/(14\/2660) + 2?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2517321287 + 1.\nAnswer: -2517321286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 7. Let s = 1 - 2. Is s <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9283371 to the nearest integer?\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -23. Solve o*l + u - 7 = 4*u, 0 = -2*u + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577441438?\nAnswer: 2, 7, 71, 580927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42 - -49) + (-57)\/8)\/((-2)\/1312).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14433820*w**6 - 3289934*w**2 wrt w?\nAnswer: 1732058400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.7 - -26.3. What is the smallest value in w, -0.5, 1\/3, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 247584 and 14.\nAnswer: 1733088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1425.76 + -1424.76. Let m = 1 + -9. Let u = 3 + m. What is the second smallest value in u, -2\/5, k, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + -1 - (-21)\/3. Let f(w) = -w - 3 + w**3 + 7*w - 5*w**2 + 0*w**3. Calculate f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 8. Let x(p) = -7*p - 2. Let n be x(u). Suppose 0 = 5*w - 2*q + 6*q - n, 8 = w + 4*q. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(504\/(-45) - -11))\/((1134\/(-240))\/9)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - -1 - (7 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - 2*k**2)*(3 - 27*k - 3).\nAnswer: 54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-96)\/(-126)))\/((-12)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126168447?\nAnswer: 3, 89, 472541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8278 + 8276. Is c > -697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*t + 1241 + 77 = 134 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 27*y**2 + 1\/24*y**4 + 0*y + 0 - 7\/6*y**3. Give l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/20 - b**2. Let o be (-2)\/(-5) - ((-2)\/(-5) + -2). Let w(x) = -477 - x**o + 477. Calculate p(w(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + 2*sqrt(120)*2)\/sqrt(162))\/((sqrt(144)*-3)\/sqrt(12) - (sqrt(12) - sqrt(84)\/sqrt(7)*3)))**2.\nAnswer: 125\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140362*f**3*y - 19*f**3 - 3*f**2*y - 81*f*y + 12815*f wrt f.\nAnswer: -842172*y - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 5.04. Let n = 3 - 7. Suppose -o - 2 = 1. Put n, t, o in decreasing order.\nAnswer: o, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 n when four letters picked without replacement from nkttmuytmtmmun.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6892\/11 + 626. Let s = -7\/33 - x. Which is the closest to s? (a) 0 (b) 0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986*m + 981*m = 3*v + 21, 56 = -8*v - m for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3635 + -3300. Put -0.2, 2, l in ascending order.\nAnswer: -0.2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 2. Suppose 0 = -13*p - 65. Let z(t) = 100*t - 72. Let q(y) = p*i(y) + z(y). What is the derivative of q(g) wrt g?\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367*x - x**2 + 16 - 367*x to the form j + s*x + r*x**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*m**2 + 33*m wrt m.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*j + 5*u - 586, -2*u + 470 = -4*j. Is j at most -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 5, q: 1, p: 3, x: 1}. Give prob of sequence up.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Suppose 0 = d*k + z + 469, 119 = -2*k - 3*z - 66. Let m be k\/24 + (-4)\/(-16). Is m bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -186 + 98. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49317 and 84129?\nAnswer: 2901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**4 - 2*l**3 - 9*l**2 + 2*l - 2. Let c(n) = 45*n**4 - 8*n**3 - 36*n**2 + 8*n - 9. Let b(d) = -2*c(d) + 9*v(d). Solve b(g) = 0.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 20*w**2 + 19*w - 7. Give i(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 609*u**4 + 2174*u**2.\nAnswer: 14616*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(21\/12 - 1). Suppose 0 = j*v + 3*k - 6 - 4, -14 = -4*v - k. Solve 0 = -2*n - v, -n - 4*n + 2 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 4*u + 3 - 4*u**2 - u**2 - 7*u + 3. Calculate the remainder when 41 is divided by p(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-270)\/(-21)*6)\/(1\/(-7)). Let t = b + 543. Let j(k) = k**3 - 4*k**2 + 4*k - 3. Give j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/20 + 3*n**4\/4 + n**3\/3 - 6*n**2 - n. Let q be t(9). Solve -o - 2*o = q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1065.\nAnswer: -1\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + (sqrt(252) - (2 + sqrt(252)))*3))**2.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, h: 4}. What is prob of picking 4 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -381953569*g**2*m + 5*g*m - 6153145*m wrt g?\nAnswer: -763907138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11*h**2 + 1 - 4.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 4*q**2 - 9*q + 5. Let a be g(4). Let k be -2 - (0 - 1)*2. Suppose k = -r + a. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 1064018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 22734 (c) -3 (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t. Let l(x) be the first derivative of -x**5\/24 - x**3\/3 + 4. Let v(w) be the third derivative of l(w). What is v(h(i))?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 2718?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 70\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154*x**2 - 27*x**6 + 161*x**2 - 48*x**6 wrt x.\nAnswer: -9000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2. Let g(v) be the third derivative of 41*v**6\/360 + 53*v**3\/6 - 4*v**2 + 7. Let y(h) be the first derivative of g(h). Give c(y(l)).\nAnswer: 3362*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/44, 3\/4, -1992, -5?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 + -84. What is the least common multiple of 20 and 6\/8 + 55\/k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 71 = -36. What is the nearest to 1 in i, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528410078?\nAnswer: 2, 7, 3001, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/205? (a) -0.1 (b) -0.08 (c) -0.5 (d) 5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -429701860 divided by 5?\nAnswer: -85940372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44773, 89493, 134161, 178777, 223341?\nAnswer: 267853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2 + 4 - 20*g - 21. Let r be (-28 - -32)\/(8\/22). Let o(t) = -4*t - 4. Let i(c) = r*o(c) - 2*u(c). What is i(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 25*m - 126 = 0. Suppose 5631 = o + 2*k, -m*o = -13*o - 2*k + 22500. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742*g - 34319 + 23189 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 2:46 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, v: 9}. Give prob of sequence vuv.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/5*(-820)\/(-656)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*h = -34, -3948*h = 2*z - 3943*h - 38 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 770?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 8091907?\nAnswer: -72827163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d. Let j(l) be the first derivative of -l**5\/15 - l**2\/2 - 5. Let k(g) be the second derivative of j(g). What is p(k(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.28 + 15.08. What is the nearest to 1 in u, -22, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3522 and 786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t - 2*t)*(1 + 4 - 4) + (68*t + 3571 - 3571)*(2 + 1 - 2).\nAnswer: 69*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -185 (b) -3\/4 (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3510*l = 4*b - 3509*l - 18, -2*b + l - 12 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*q - 115 + 23. Let v(y) be the second derivative of -y**5\/20 - y**4\/3 - y**2 - y. Let g be v(q). Let k(p) = -3*p - 2. Give k(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, -1, -258, -37, -6, 0 in decreasing order.\nAnswer: 1, 0, -1, -6, -10, -37, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c15 + -2c?\nAnswer: -3c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211.05 + -4.95. Let m = o + 219. Let f = 5.7 + -6. Which is the biggest value? (a) f (b) -4 (c) m (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 9) to base 5\nAnswer: -2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3384066 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -14 (c) -0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from nvvntnnvvrttnvvv?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4903088 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 905929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d + 9. Let o be s(9). Calculate the highest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8.4 (b) -12\/7 (c) 1\/6 (d) 6\/5 (e) -5 (f) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 14*j**2 + 11*j - 5. Is o(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(150\/(-90)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202*i - 202*i + 79*i**3)*(0*i + 0*i + i) + (0*i**2 + i**2 + i**2)*(2*i**2 - 9745 + 9745) + (3*i - 3*i - i**2)*(-4*i**2 + i**2 + 2*i**2).\nAnswer: 84*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5896 and 2815072?\nAnswer: 30965792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -1\/646, 5?\nAnswer: -1\/646","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7443 + -7438. Solve -14 - 21 = -d*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by (-6567)\/(-187) - ((-15)\/85)\/(21\/(-14))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4482.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12809 is divided by 11606?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122475 by 75.\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48069239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - w + 4*w + 2872 - 17*w.\nAnswer: -16*w + 2872","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zppz when four letters picked without replacement from gzzggzgmgggggggpfgf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-3*b + 727 + 12*b - 685) in the form y*b + p and give p.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11724959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3279 + -1576. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0, 820?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j + 200. Let w(a) = -2*a - 5. Give c(b) + 2*w(b).\nAnswer: b + 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/248295 and -83\/165530?\nAnswer: 496590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164 - -160. Which is the smallest value? (a) l (b) 4 (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8148 + -8148. Let s(u) be the second derivative of -21*u + 7\/2*u**2 + u**3 + k. Differentiate s(v) with respect to v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 times -0.0687?\nAnswer: -64.9902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4462\/9 - 495. Calculate the common denominator of a and 49\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 9*z**3 - 2*z**3 + (-94*z - 33 + 33)*(-2 + 2 + 2*z**2) in the form t + m*z + d*z**3 + r*z**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c**3 - 1. Let f(y) = -17*y**3 - 2. Calculate -3*f(n) + 7*j(n).\nAnswer: -12*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -36, -76, -132, -204, -292?\n\"Answer: -8*c**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 151*r - 5570. Give p(-67).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12723*s**2 + 12723*s**2 - 34*s**3.\nAnswer: -34*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87524773.\nAnswer: 7, 19, 409, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 7:22 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 75.29 (b) -2 (c) 3\/4 (d) 93\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 58. What is the remainder when k is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a - 497*a**4 - 69342*a**2 + 75208*a**2 - 232*a**4 + a wrt a.\nAnswer: -17496*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2 - -5)\/1. Suppose -t = t + 4. Let d = t + 18. Solve -4*w = -d, 3*w - 4 = n*i - 2*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7 - 3 + 0 + 3*o. Let n(q) = 16*q + 22. Suppose -5*c - 5*g - 5 = 0, 2*g + 2*g = -5*c. Let a(i) = c*n(i) - 22*p(i). Let w(x) = -2*x. Determine a(w(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*g = 8*g - 22, 4*m - 2*g + 12 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 101010?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 88*x**2 + 90*x**2 - 710*x**3 - 12*x + 24*x - 13*x in the form c + z*x**2 + h*x**3 + a*x and give h.\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4 (c) 2\/4817\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 3. Let b = 23 + i. Suppose -b - 88 = -3*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10139970 to the power of 1\/2, to the nearest integer?\nAnswer: 3184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h - 9. Let d(r) = r**2 - r. Let b be d(-1). Suppose b = -f - 3. What is the remainder when x(f) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 61*t**2 - 19478*t + 44695. What is n(317)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o. Let t(x) = -x**2 - 11*x - 28. Let f be t(-5). Let w = 4 + -2. Let a(n) = -f*n**2 + 0*n**w + 15*n - 15*n. Determine a(l(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*1)\/sqrt(10)*2)\/((sqrt(11) + (sqrt(99) - ((1*sqrt(99) - sqrt(99)) + sqrt(99)))\/sqrt(9))*-4).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 26104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 26*g**2 + 125*g + 2. Determine d(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4}. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.37339 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**5 - 185*f**4 - f**2 + 27*f + 10.\nAnswer: 360*f**2 - 4440*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(68) - sqrt(68))**2 + (sqrt(68) + (-2*sqrt(68)*-2 - sqrt(68)) - sqrt(68)))*-5.\nAnswer: -5440 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4092004, -4091829, -4091654, -4091479, -4091304?\n\"Answer: 175*s - 4092179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-10)*n*n**(-8))**(-1\/12)*(n**(1\/2))**(-48)*(n\/(n**0*n)*n)**(-27) assuming n is positive.\nAnswer: n**(-595\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.509 + 0.009. Suppose 0*j - 3*j = 9. What is the third biggest value in u, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1178 = -159*n - 65. Let v(d) = 7*d - 35. Determine v(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:03 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005302180205 rounded to 5 dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4 + 3 + 0)*(28*t - 2*t + 8*t).\nAnswer: 170*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11\/13, -1\/2, -3.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(35)\/sqrt(7) + -3.\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*q - 8 = 0, 2*l = 7*l - 4*q - 16. Suppose l = -5*y + 176 - 51. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 4. Let z(a) = 2*a + 8. Determine 3*t(y) + z(y).\nAnswer: -4*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 27 = 4*s. Let m(z) = -z**2 - 10*z + 4. Let i be m(s). Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 4*b. Let g(n) = -n**2. Let q(c) = 3*g(c) + h(c). Let o be q(3). Put -2, o, -5 in descending order.\nAnswer: -2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k**2 + 10*k + 3 - 10101*k**3 + 0*k - 3. Let c be h(-10). Round c to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + q**3 - 2*q)*((5 - 3 + 4)*(1 - 1 - 3*q) + (0 + 1 - 2)*(2*q - q + 0*q) - 1 + 1 - q) to a*q**4 + j*q**2 + n + x*q**3 + d*q and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-12)\/(-9))\/(6\/(-9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 13300*l**3 + 11801520*l**2 - 3501082160*l + 6955064560.\nAnswer: 5*(l - 886)**3*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 5*s**2 - 6*s + 5. Let h be c(6). Let x be 14\/8 + (-159)\/(-636). Suppose 3470 = x*o + 2*w + 2*w, 2*o = -h*w + 3474. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4878 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: Let b(m) = 5*m + 2. Let x = -151 - -147. Let a(r) = r + 1. What is x*a(g) + b(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38994124 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1713 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 2843 + 4571 = 0. Sort 5, t, -2 in decreasing order.\nAnswer: t, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-14))\/(2916\/(-126)). Let a(s) be the third derivative of 0*s**4 + 0 - 9*s**2 + 0*s + l*s**6 + 0*s**3 + 1\/315*s**7 + 1\/135*s**5. Factor a(m).\nAnswer: 2*m**2*(m + 1)*(3*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 + 668244*f + 11358992 = 0. What is f?\nAnswer: -167044, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286 - n**3 + 10*n**2 + 9*n**2 + 2*n**3 + 10*n**2 - 31*n**2 to b*n**2 + x*n**3 + z*n + y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtkt when four letters picked without replacement from rkrtktkkk?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1743, 0, 3, -2 in decreasing order.\nAnswer: 1743, 6, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4874735 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34306 + -4?\nAnswer: -34312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, -179, 2.3, -18, 0 in ascending order.\nAnswer: -179, -18, -1, 0, 0.5, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*z - 14, 4*w - 2*z + 6*z - 40 = 0. Let d(j) be the third derivative of j**5\/60 - j**4\/6 - 2*j**3\/3 + 23333*j**2. Calculate d(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - i - 2. Let r be (-10)\/((-20)\/7 - -3). Let j = 68 + r. Give f(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 16. Let j be x(0). Suppose -3*l + j = -2*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**3\/3 + 1. Suppose -10 + 6 = -2*g. Let r(d) = g*d - 5*d - d - d. Give z(r(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = -2*u - 0*c - c, -4*c - 16 = 0. Let m = -119 - u. Solve m = 5*a + 1 - 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1005)\/335*-2*7769\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001656896 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:07 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*v**3 + 14*v**2 + 57*v**3 - 18*v**2 + v**4.\nAnswer: v**2*(v - 4)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.08 - -0.08. Let m = 159 + -155. Which is the second biggest value? (a) q (b) 1\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1881 - 224. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*19124650.\nAnswer: -3824930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 445015?\nAnswer: 445013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:11 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -67934 divided by 1?\nAnswer: -67934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*k + 24, -r - r = 4*k - 12. Solve -k*w - 12 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4565905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3 - 11. Is n > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 55. Suppose -w*c = c - 549. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7940?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2*w**2 + 4*p**2*w + 25323*p*w**2 - 4*p - 3036*w + 5 wrt w?\nAnswer: -2*p**2 + 50646*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8053813 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l**3 - 128*l**2 + 128*l**2 + 53*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 44943.4521 to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 2. Let i be (-45)\/(-18)*(-4)\/5. What is d(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2\/(0 + 2)*(0 + 132)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 7*r + 12. Let n be j(-9). Let b be n\/8 + (-10)\/(-8). What is the second biggest value in -1\/5, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*42\/(-126)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-230)\/(-2) + (-39)\/13. Suppose y = 4*x - 2*s + 6*s, -s = -x + 30. What is the greatest common factor of 203 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1430)\/(-1001))\/(12\/(-14)) - 42\/(-9). Sort -1, t, -2062, 5, -3 in ascending order.\nAnswer: -2062, -3, -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12455 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 6*a + 10. Let s be t(7). Let j be 339\/21 - s\/21. Suppose -2*m - j + 154 = 0. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5801*y**2 + 0*y - 3*y + 3*y.\nAnswer: -5801*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 27681020*u**3 + 83043030*u**2 + 83043020*u + 27681005.\nAnswer: 5*(u + 1)**3*(u + 5536201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27737.75 years to centuries.\nAnswer: 277.3775","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 + 4*r + 6. Let i(x) = 6 + 11*x**2 - 2*x**2 + 9*x + 7. Let a(k) = -6*i(k) + 13*s(k). Let a(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let f(r) be the first derivative of -5*r**2\/2 - r - 157. Suppose 6*u = 18 + 6. Let c be (u + (-102)\/27)*9. What is c*p(n) - f(n)?\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2053, 2052, 2049, 2044, 2037, 2028?\n\"Answer: -l**2 + 2*l + 2052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 6*i + 2. Let h = -27 - -24. What is the remainder when q(h) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 44962?\nAnswer: 1393822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6746 + -3285\nAnswer: 3461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6067 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14174 * -1.16.\nAnswer: -0.1644184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkpfebf. Give prob of sequence pkeb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13000 + -1?\nAnswer: -13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29132593757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12257467 from -0.4.\nAnswer: -12257467.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 3*g + 2*g)*(0*g + g**2 + 0*g) + 2*g**3 + 19 - 73 + 43.\nAnswer: 10*g**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 101743 divided by 101743\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -r + 5*o - 1, -5*r - 15 = -5*o. Which is smaller: 2\/139 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -17274*z + 574. Let r(g) = 5739*g - 192. Let f(u) = 11*r(u) + 4*t(u). What is the first derivative of f(y) wrt y?\nAnswer: -5967","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, p: 4, q: 2}. Give prob of picking 1 m, 2 q, and 1 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 38064*w - 38070*w = 5, 36 = 4*f - 4*w for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(85))\/(sqrt(100)\/sqrt(5)) + -5)*-3.\nAnswer: -6*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -4*q. Suppose 0 = -q*d - 2*d. Suppose -4*n - 6 = 2*p, 2*p + 15 = -5*n + p. Sort n, -5, d in decreasing order.\nAnswer: d, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*t**2 - 5*t**2 + 22*t**2 - 72*t**2 to f*t + m + z*t**2 and give z.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 2. Let t be b(10). What is the common denominator of (t\/60)\/(8\/174) and 37\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 - 1752*v**2 - 15646*v - 34680 = 0. Calculate v.\nAnswer: -867, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + y + 8*y - 3*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10736\/20 + (-30)\/(-25). Suppose 14*s - 12*s = o. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12354 and -49\/49416.\nAnswer: 49416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzzp when four letters picked without replacement from zphzzcghhzgpc.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -18 - (11 - 6) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83793 - -121448. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - m**2 + 6*m**2)*(-m**2 - 2*m**2 - 230*m + 232*m) + 29*m**2 - 11*m**4 - 29*m**2 + m**4 + 2*m - 3*m + m**4.\nAnswer: -15*m**4 + 4*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114803*s - 368 = -114795*s, -r - 136 = 3*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 + 47*n**2 - 99337*n + 1589660. Determine h(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 459 = 3*h - 464, -4*a + 40 = -4*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + n**2 - 1 - n**2 + 6*n**2 to f*n**2 + v + z*n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*r + 122*r + 153*r + 5130 = 0 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 241*z + 1. Let c(l) = -9*l + 2. Calculate c(g(s)).\nAnswer: -2169*s - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73355974 is divided by 709?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271811.\nAnswer: 271811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 4:18 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -540256, -2160181, -4860056, -8639881?\n\"Answer: -539975*z**2 - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5863*i + 2945*i + 2922*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 4*u + 1. Let n be p(2). Let f be (-6 + 5)\/(2\/(-40)). Solve n*d + 5 = -f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 739*p - 12 = 741*p, -5*b + 12 = -2*p. Solve 0 = g - b*g + 2*y - 6, g + 4*y = 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -952 - 27. What are the prime factors of o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -60*t - 411. Give v(-8).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*c = -c - 66, -4*c = -a + 26. Suppose -t + a = 2*f, -2*t = f - 0*f - 80. What is the smallest common multiple of t and 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112011101 - -11021122?\nAnswer: -100212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*s - 15, 1 = 2*s - 4*o - 5. Calculate the remainder when 55 is divided by 18 + 3\/s*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(-14)\/(-336) - (-2122)\/3. Let m = j - 707. Sort -6\/43, 5, m.\nAnswer: -6\/43, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(343) + ((1 + sqrt(343))*-4)**2)*-5.\nAnswer: 5775*sqrt(7) + 137601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 97 + 92, 4*x - 4*s - 1000 = 0. What is the greatest common divisor of 2548 and x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 0) + 2 + -1. Let l be 1\/((r - -5) + -2). Is -2 - l - (-264)\/6 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1692*m + 133590 + 47454 for m.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**3 + 2470*f**2 - 9940*f + 9960 = 0.\nAnswer: -498, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 47*(-7 + 3 + 0). Let o = 198 + l. What is the highest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x**2 - 31*x**2 - x**3 + 15*x**2 + 3*x to z + m*x + s*x**2 + v*x**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 9) in base 4?\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (2\/(-7))\/(8\/(-112)). Suppose 0*j - 20 = -j. Solve -j = v + x*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (3 - -6 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17910722.\nAnswer: 2, 79, 113359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1602*m**2 - 1. Let p be z(-1). Suppose w - n - 322 = -0*n, 5*w + 4*n - p = 0. Let d = -188 + w. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.34 - 0.34. Let q = r - 31.00000005. Round q to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/117)\/(2052\/2223)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -409 * -0.2\nAnswer: 81.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*f + 2*x, -4*f - 3*x = -2*x - 17. Suppose 5*o = 3*o + f. Let c be 16\/10 + 2 + -3. Is c > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 252*f**2 + 213*f - 2988.\nAnswer: 3*(f - 3)*(f + 4)*(f + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 5 + 5)*(-1 + 4 - 2) + (3 - 2 - 3)*(-139 - 22*a + 139) to the form z + f*a and give f.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+0.0365\nAnswer: -0.0635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Let k(c) be the third derivative of -7*c**5\/60 + 11*c**2. Determine k(w(x)).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {h: 15, c: 3}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366.42187 - -2181.7?\nAnswer: 3548.12187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 2*s**2 - 10*s + 13. Suppose 0 = 4*p - k - 33, 4*p = 4*k - 5*k + 23. Suppose -p*r = -6*r - 4. What is the lowest common multiple of x(r) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2458*j**4*x**3 + 2*j**3*x**2 + 2*j**3 + 2*j**2*x**3 - j**2*x**2 - 23*j**2 - 533*j*x**3 wrt j.\nAnswer: 58992*j*x**3 + 12*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b. Let d(j) = -17*j + 5 - 5 + 11*j. Give t(d(k)).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) + -1)) + 2 - (-2*sqrt(84)\/sqrt(4))\/sqrt(3))**2.\nAnswer: 12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -40*((-144)\/10 - -12). Calculate the highest common divisor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-12))\/(133\/(-399)))\/(105\/(-20))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 24 + (-53 - -54)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131217135 to the power of 1\/2, to the nearest integer?\nAnswer: 11455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - ((sqrt(119) + 2*sqrt(119) - sqrt(119))*1 - sqrt(119))) + 2*((sqrt(119) - -1*sqrt(119)) + sqrt(119)))\/(sqrt(343)*1*4).\nAnswer: 3*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 402264 divided by -302\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425 divided by -146.\nAnswer: 425\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -646 - -648. Solve 0 = t*m + 4*l - 10, 0 = 5*m - 6*l + 2*l - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2645 and 435965?\nAnswer: 10027195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.5, -14\/9, 5625, -0.003, 1?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*b = -z + 224, 370 = 3*z + b. Round z to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844*f + 162 = -817*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.7613 - 0.361.\nAnswer: -20.1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 9:36 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 10:38 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 - 150.95. Which is the second smallest value? (a) 0.3 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v + 40 = 0. Let b = 1 + v. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 2*b = -5*r - 772, -b + 628 = 4*r. What is the highest common divisor of r and 12324?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) + (-4321)\/2. Let p be (-380)\/152 - 26079\/12. Let g = p - v. Find the common denominator of g and 99\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -965*k = -978*k + 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711149 is divided by 101567?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27656 = 52*g - 60*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*l - 30*l - n - 14, -21 = -9*l - 3*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.7 + 6. Let g = 0 - -44. Let l = g + -49. Which is the biggest value? (a) q (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 6177887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3804.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, -51, -129, -239, -381, -555, -761?\n\"Answer: -16*x**2 + 2*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g - 1. Let d be (g + 0)*0\/1. Let z = 24308 + -24298. Solve d = -3*q - 5*l - 16, -5*q + z = 3*l - 2*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {h: 6, f: 2, y: 3, a: 3, k: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09673803 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from hdtin?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) 0.982 (b) 3 (c) 5 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629913 is divided by 792?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*b - 170 = -4*o + 762*b, -7*o + 211 = 3*b - 106 for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0 - 18*t - 1\/6*t**3 + 49\/12*t**4 + 41\/2*t**2. What is the first derivative of i(h) wrt h?\nAnswer: 98*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/120)\/((182\/7)\/(-130))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3977 - -3977.2. Which is smaller: a or 845?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 17, 54, 105, 170, 249, 342?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 30. Calculate the common denominator of z and -3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4911709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {t: 5, e: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 17*k**2 + 2*k + 17. Let g be o(-17). Let m(a) = 5*a**2 + 17*a + 15. Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136 + 253. Let n be (-4)\/9 + 2509\/t. Let 5*y - 188*y**3 + 183*y**3 + n - 30*y**2 + 9 = 0. What is y?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-40))\/(-2 + 1386\/696)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5689\/4 + (0 - (-2)\/(-8)) + -4 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*v - 2*d = 83*v + 8, -7*v + 19 = -d. Solve u - v*i = 3*u + 4, 0 = 3*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*m**2 + 19*m**5 + 413*m**6 + 2 - 10 - 416*m**6 wrt m?\nAnswer: -360*m**3 + 1140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 26 = 3*a, 4*a = -4*u + 5*u + 29. Let c(f) = -f**2 - 4*f + 4. Let g(z) = -2*z**2 - 5*z + 6. Let v(t) = 5*c(t) - 3*g(t). Determine v(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3917.683 + 3835.5. Let w = x + 0.183. Let h = -83.78 - w. What is h rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 681 divide 8832570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 9 = -16*w + z, 3*z - 17 = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2. Let u be d(-2). Solve 8 = u*j - 6*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = 0, 3*u - 7*u - 52 = -4*g. Suppose 5*x = 5*q + 30, -4*q + q = 12. What is the remainder when g is divided by x\/4 - 17\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiq when three letters picked without replacement from {t: 1, q: 1, m: 1, i: 2, h: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 11:46 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951460213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -9)*(-2)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6*x**2 - 55768*x + 3 + 55769*x.\nAnswer: -6*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Suppose -d + 0*d + 1 = v. Let s = d + 6. What is the lowest common multiple of 8 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(5*sqrt(156)*2 - (sqrt(156) + sqrt(156) + sqrt(156) + -1*sqrt(156)*1)))\/(sqrt(12) + 3*sqrt(1200) + sqrt(768)*6))**2.\nAnswer: 832\/6241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2880 - -3453. Calculate the remainder when x is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.498290014 to four dps.\nAnswer: -2.4983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(1\/4)*c))\/c)\/c)**(1\/27)*((c\/(c**0*c))\/c)**(-1\/2) assuming c is positive.\nAnswer: c**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 5*z**2 + 19*z - 6. Let r be k(-8). Let n = -32 + r. Suppose 18 = 2*c - n. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 4. Let l(c) = -205 - 2*c - 182 + 384. What is -4*f(x) - 5*l(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 957 and 22?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 50\/15)\/((-2)\/6). Put 1.2, 4, m in increasing order.\nAnswer: m, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9086714.\nAnswer: 2, 7, 13, 49927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2950 from 1614788298.\nAnswer: 1614785348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-7) + -3)*2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least as big as 346\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3771268um to nanometers.\nAnswer: 377.1268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x + 39*x - 90 = 0. Is 4\/x - -3*(-234798)\/(-270) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10168 is divided by 141.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 669 divided by 7775\nAnswer: 669\/7775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 11005*b + 442800.\nAnswer: 5*(b + 41)*(b + 2160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001235932 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 5 = 0. Let p = 2 + h. Suppose -s + 0 = -p. Solve -2*y - s = 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-6) + 14 + 3\/(-3). Calculate the remainder when (2\/(-4))\/(l\/(-696)) is divided by 0 + 0 + -2 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 7*x - 8. Let r be -2*((-2 - 10\/4) + 3). Let o(p) = -4*p**2 - 6*p + 7. Let i = 8 - 4. Let l(z) = i*o(z) + r*f(z). Determine l(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 - i**2 + 1. Let h(z) be the third derivative of -z**5\/5 + 3*z**2 + 180. Calculate h(j(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:21 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 52 = -12. Let d = 57 - 41. Let v = -19 + d. Let q(a) = 14*a - 14. Let x(k) = -5*k + 5. Determine v*q(s) + z*x(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 67 = -11*g - 0*u - 53, 14 = -3*g + 2*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (503 + 40*d**2 - 503)*(-1 + 3 - 1) + 3*d**2 - 10 + d + 10 in the form t + g*d + c*d**2 and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5310185 litres?\nAnswer: 531.0185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 = 3*a - 3, 2*a = 0. Let l(j) = 200*j - 90. Let t be l(q). What is t rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 49. What is the closest to j in 4, 3.6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108*l**2 + 20?\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100001 (base 2) to base 16\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21000 (base 5) in base 10?\nAnswer: -1375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/16)\/((-561)\/(-68)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 0.03 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -15, -3\/13, 5 in decreasing order.\nAnswer: 5, -3\/13, -0.3, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000579006 to 7 dps.\nAnswer: 0.0000579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 288.45879 months?\nAnswer: 2.40382325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38723\/3 - -12907. Let i = -637\/8 - -79. Put v, i, -4 in ascending order.\nAnswer: -4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/2 + 663*q**2\/2 - 146523*q\/2 + 10793861\/2 = 0.\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25873, -103503, -232887, -414025, -646917, -931563?\nAnswer: -1267963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 8*k**2 + 192*k + 2*k**3 - 194*k - 6*k**2 + 0*k**3 to the form t + d*k + n*k**2 + x*k**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 270991121 divided by -1?\nAnswer: -270991121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-95*i + 32*i + 26*i)*(2*i**2 + 5*i**3 - 2*i**2) + 2*i**4 - 1 + 1 to the form h + a*i + m*i**2 + d*i**3 + s*i**4 and give s.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*z - 18*z - 26 - 254. Let x(f) = f**3 + 2*f**2 - 9*f - 9. Determine x(z).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/221*50\/75\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2326001 + 0?\nAnswer: 2326001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = z + 31, 2*z - 5*l = 6*z + 130. Find the common denominator of (15\/(-55))\/(9\/z) and -37\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-78)\/(60\/(-20))))\/(-1)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 10, -m = 3*b - 2 + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**3 + 72312*a**2 - 433664*a - 1156608 = 0.\nAnswer: -2, 8, 18072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khb when three letters picked without replacement from hhbkbkhbkhbh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/118, 4\/9, 1.2, 1\/3, 2\/3, 3\/4 in descending order.\nAnswer: 1.2, 3\/4, 2\/3, 4\/9, 1\/3, 1\/118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 + 13107*u + 12840*u - 25947*u + 22*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.09, -6, -4, 0.168, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6*v - 1)*(5 + 4 - 1)*(-3 + 3 - 1)*(0*v - 1 + 2 - 2*v)*(-3*v + 6*v + 3*v).\nAnswer: -576*v**3 + 288*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33576 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + w + 4)*(2 + w**3 - 2) - 5*w**4 + 3*w**3 - 16*w**4 + 22*w**4 + 46*w.\nAnswer: 2*w**4 + 3*w**3 + 46*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 1 + 1)*(288 - 95 + 117 + 237).\nAnswer: -547*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**5 - 4215*n**4 + 16715*n**2?\nAnswer: 120*n**2 - 101160*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1943 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.73 - 11.33. Round d to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*(sqrt(45)*-4 + -1 + sqrt(500))*1*4)**2.\nAnswer: 832*sqrt(5) + 5289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4621*n**3 - 24*n**2 - 16*n - 8. Let u(t) = -36970*t**3 + 195*t**2 + 130*t + 65. Determine 65*p(s) + 8*u(s).\nAnswer: 4605*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10135 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:06 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 106193111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.01, -2\/7, -4, -1.6, 0.018?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176980421 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7927 + 7914. Which is smaller: -97.6 or x?\nAnswer: -97.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - -1)\/(1 - 0). Let i(b) = -2*b**2 + 3*b + 2. Let f be i(-1). Let r be -3*(13\/f - (-15)\/5). Solve 2*w + r = c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023696713 to the power of 1\/2, to the nearest integer?\nAnswer: 31995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101605 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 523 and 7.\nAnswer: 3661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3087297, -3087562, -3087827, -3088092?\n\"Answer: -265*v - 3087032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439, -591, -743, -895, -1047, -1199?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 98, 210, 366, 566, 810?\n\"Answer: 22*i**2 + 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/4 - 17*v**3\/8 + 43*v**2\/8 - 43*v\/8 + 15\/8 = 0 for v.\nAnswer: 1, 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5569.\nAnswer: 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4415240 is divided by 888.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 3 + a**3 - 2*a**3 - a + 3*a. Let n be h(3). Let r(d) = -4*d + 5. Is r(n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - 18*p + 23. Calculate g(7).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/36 + 0)\/((-1)\/(-2)). What is the second smallest value in 5, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9595802 days?\nAnswer: 82907729.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3248 = -5*b, -2*x = -5*x + 6. What is the highest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 3, k: 4, i: 1, q: 7}. What is prob of sequence ddq?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/4 + 1737*r**2\/2 - 42984*r + 520992.\nAnswer: 3*(r - 24)**2*(r + 1206)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b5 - -52?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793443128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from onozjzoonjzzzoczoj.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244 - -530. Let i = 283.46 - m. What is i rounded to one dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1785887.\nAnswer: -892943.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2\/93, 4 in descending order.\nAnswer: 4, -2\/93, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12260 and 60687?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.2 + 3?\nAnswer: 45.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271 - 109. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s**4*s*(s**(-1))**(4\/9))\/((s\/s**(-7))\/((s**(2\/9)*s)\/s))**(-34\/3) assuming s is positive.\nAnswer: s**(2584\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = -3*f, 15*f = 3*f - 60. Solve d - 22 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 217*d**2 - 44518*d + 24588525?\nAnswer: 434*d - 44518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 0*k)*(-2*k**3 + 2*k**3 - 3*k**3) - k**4 - k**4 - k**4 - 3*k**2 - k**4 + 3*k**2.\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4563*j - 6 = -3*b + 4566*j, 4*b = -2*j + 14. Let r(n) = -n**3 + 6*n - 21. Determine r(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 + 124. Suppose 0 = z*j - 6*j + 1256. List the prime factors of j.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 1. Let f(x) = -1. Give 4*b(u) + 3*f(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2973, 1, 4, -7 in ascending order.\nAnswer: -2973, -7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 40*x + 339. What is the tens digit of z(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 78?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9362*g - 8748 = -4624*g - 4630*g for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 144, -2, -2\/17, 4\/9, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - b + 0*b. Let c(j) = 4 - 11 - 6*j + j + 10. Let u(z) = -4*z + 2. Let a(n) = -2*c(n) + 3*u(n). What is y(a(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 4, 2, 1, -10, -2 in descending order.\nAnswer: 4, 2, 1, -2, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 4. Suppose g + 55 = h*g. Suppose -d + 2*d = g. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4172, -3\/2, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 108119732 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 33275.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125 and 11.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1120\/(-13104)*36\/(-10)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41332 - 425926262\/10305. Let s = p - 209507\/144270. Calculate the common denominator of ((-2120)\/(-32))\/5 + 12 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1295*i + 1101*i - 4656 = 0 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and 0.07?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5038*d**3 + 3*d**2 + 3*d + 1. Suppose 3*y = 3*f - 16 - 2, -2*f - 6 = 4*y. Let l be (-10)\/30*f*1. Is x(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49005501 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-176) + (-81)\/330.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20820547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.62 - -0.619982. What is n rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 57546345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 1, -8, 0.01, 1\/2, -426?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 88 = -4*w. Let f be ((-40)\/15*33)\/(-1*1). Calculate the highest common factor of f and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/60 - k**4\/24 + 7*k**3\/6 + 26*k**2. What is j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3776?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060 + 312 - 733 - 3*d.\nAnswer: -3*d - 1481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y**4 + 5 + 0*y**2 + 1\/3*y**3 - 1\/6*y**6 + 0*y**5 + 0*y. Find the third derivative of n(a) wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 108 - 940 = 0. Let n = -104 - y. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:24 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -410*k + 399*k. Suppose -3\/4*x**3 - 3\/4*x**4 + 0*x**k + 0 + 0*x = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-44)\/(-28))*(-4)\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 14*i + 36. What is o(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16*y + y**3 - 4*y + 6 + 18*y**2 - 21. Let w be j(-19). Suppose 2*d - 311 = 5*x, w*d - 633 = 2*x - 3*x. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0, -2\/3, 1, 1\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 plus 17913.48385?\nAnswer: 18100.48385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1806499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-3)\/(-9)*-63. Let l be 4\/14 + (-459)\/o. Let d = 49 + l. What is the highest common divisor of 21 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/24 and (-3 + 162\/16)\/((-858)\/260)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349280 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 - 11) + -11*2. Let j be (-16)\/c - (-1)\/5. What is the highest common factor of 11 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = -15*z - 289. Let q be z\/117 + -1 + (-2)\/(-3). Which is the nearest to 1? (a) -1 (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 1, o: 2}. What is prob of picking 1 c and 1 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150254676 by -75127338.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {z: 5, c: 1, g: 3, i: 3}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 53*a**2 - a + 4. Give r(-1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((5 - 1)*-3)\/2. Let j(v) = -v**2 - 5*v - 15. What is j(b)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/2 + 245*g**4\/2 - 834*g**3 + 224*g**2 + 3344*g - 2856 = 0. What is g?\nAnswer: -2, 1, 2, 6, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39749314 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 0 + 0*c - 2\/3*c**5 - 2\/3*c**2 + 2\/3*c**3 + 2\/3*c**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 260147\/18 - 14446. Let d = -3109 + 28048\/9. Find the common denominator of d and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 - -514. Let z = 90 - 36. Calculate the remainder when z is divided by (-28)\/154 + x\/22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50226\/(-6088))\/((-6)\/40).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -377, -1\/85, 5, 2\/3?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3078 divided by -6\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 3, w: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65646774?\nAnswer: 2, 3, 405227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 372399986\/49 + (-2)\/(-7). What is o rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18015 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 6687\/7 + (-78)\/273.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 a factor of 171176193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -4 - (4 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1518 + 1506.77. Let u = l + 0.23. Let q = -13 - u. Which is the smallest value? (a) q (b) -3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - r - 3. Let j(c) = -c**3 + 26*c**2 + c - 30. Let g be j(26). Give i(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 9430888384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*c**3*k**2*l - c**3*k*l - c**3*l - 2*c**2*k**2*l - 19*c*k**2*l - 2*c*k**2 - k*l wrt c.\nAnswer: -66*k**2*l - 6*k*l - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -29*b - b**2 + 0 - 1\/3*b**3 - 1\/20*b**5 - 7\/12*b**4. Determine y(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -12. Let h(s) = -1 + 4*s - 1 + 2*s**3 - s**3 - 4*s**b. Determine h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 463\/70 - 149\/10. Find the common denominator of (-4)\/6*264\/(-28) and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-16 - -1) - (1 + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-13 + 4 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 14*c**2 + 6*c - 16. Calculate the remainder when g(14) is divided by (-16)\/(-20)*6*(6 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 - 19 + 86*b.\nAnswer: 86*b - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 1 + 1 + (-2*b - 2 + 2)*(0 + 2 - 1) + 1 - 1 - 2*b - 89 - b + 4*b + 112.\nAnswer: -3*b + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91.33 - -91.5. What is the closest to h in 2, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 8*b + 165. Let d = 325 + b. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*2 + 0 + sqrt(704).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 545667707 to the power of 1\/2, to the nearest integer?\nAnswer: 23360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 - 7*r + 70. Determine l(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7213 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose -c*p = -5*p - 18. Let f(r) = -15*r - 9. Let d(s) = -7*s - 4. Let z(u) = 13*d(u) - 6*f(u). Give z(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -77?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -19.1. Let f = a - 0.7. Which is greater: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15*i + 12*i**2 + 21 + 77607*i**3 - 14 - 77608*i**3 - 8*i + 19. Calculate k(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**6\/120 - g**4\/24 - g**3\/3 - g**2\/2 - g. Let r(u) be the first derivative of p(u). Let y = -79732 - -79734. What is r(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -41\/2. Let h(i) = -i - 2. Let v(z) = -z - 1. Let p(j) = -h(j) + 4*v(j). Let t be p(-2). Which is the second smallest value? (a) -3 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208728384 + 1329*x**2 - 208728384.\nAnswer: 1329*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242025448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -151, -356, -643, -1012, -1463, -1996?\nAnswer: -2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwkwwwkkwww. Give prob of picking 2 k and 1 w.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**2 - 6*t - 10. Let g(n) = 14*n**2 - 11*n - 19. Let x(p) = 11*c(p) - 6*g(p). What is the first derivative of x(k) wrt k?\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.5, 16.73, -3 in decreasing order.\nAnswer: 16.73, -0.4, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1)*(2140750\/(-25))\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**20*n))**(-44) assuming n is positive.\nAnswer: n**924","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 7.306?\nAnswer: 7.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 = -689*m + 710*m. Calculate the remainder when 824 is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*p, -8*p + 3*d + 4 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*c + 5*b - 2, b = -2*c + 10. Suppose 8 = -f - 3*l, l - 4*l - 36 = -c*f. What is the remainder when 3\/(-3) + 20*1 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2440*y + 1220*y + 29 = -1219*y + 2*u, 2*u + 87 = 3*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-7)*(m\/((m*m\/(m**(1\/6)*m)*m)\/m*m))\/m*m*(m*m**(-1\/4))\/m**(-7\/5) assuming m is positive.\nAnswer: m**(-281\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18714*p - 695*p**2 + 18714*p)*(2*p**2 - 2*p**2 - 4*p**2) + (3*p**3 - 3*p**3 + 2*p**3)*(p + 3*p - 3*p).\nAnswer: 2782*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - 50) + (146 - 80).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*(s*(s\/(s*(s\/s**(-1\/18))\/s*s))\/s)\/s)\/s*s**(-16)\/s)\/(s\/s**(-4\/5)*(s**26*s)\/s) assuming s is positive.\nAnswer: s**(-4127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -364b - 2?\nAnswer: -3650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:03 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -11. Let s = r + 12.0081. What is s rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 660.3 + -207.8. Let f = i + -373. Round f to the nearest integer.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + x - 5*x + 2 - 2 - x + (3 - 1 - 1)*(-x + 0*x + 0*x) - 2*x + x + 2*x - x - 9 + 9)*((3 + 1 - 2)*(-4 + 4 - 2) - 2 + 3 + 0 + 0 - 14 - 6).\nAnswer: 69*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 223331767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 - 561*r**2 + 11557*r + 133. What is d(85)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*w - 20, 2*w + 587*d - 590*d - 15 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:01 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. List the prime factors of z\/(5 - -1)*12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*u)*(7*u**2 + 16*u - 16*u + 2).\nAnswer: -14*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/58 - (5\/3 - (-608)\/(-57))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 140.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w**2 + 7*w + 1. Suppose 15 = 5*r, 4*v - 2*r = 7*v - 3. Let l be b(v). Solve -5*s + 5*k + 7 = -3, -l*s - k + 22 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 10:09 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*k + 2*k + 7, 0 = 2*f + 2*k - 6. Suppose 2*v - 2 = j, j + f - 3 = -v. List the prime factors of 2*(j - (1 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6682*v**2 + v - v - 6694*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 6482 = -1603. Calculate the smallest common multiple of r and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 3, 15, 33, 57, 87?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/715, 2657, -2\/23?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-11 + -5) - (-3 - (-2 - -22)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6*(-21)\/(-1). Suppose -2*h + 9 = m. Sort -5, h, -1 in ascending order.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -2*c**4\/15 - c**3\/15 - 2*c - 2. Let w(o) be the first derivative of b(o). Solve w(i) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -0.4, 0, -13\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 3:31 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from rrkhrhrhrrhrrkhrkhh?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000219873 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2948, -3281, -3614?\nAnswer: -3947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -775523 less than -1\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.9 + 1.1. Let c = -20 + r. Let f = -13.0000115 - c. What is f rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2055 + -2401412?\nAnswer: -2355313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309759 by -3.\nAnswer: 103253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gssiginini. Give prob of sequence in.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50617 * -180\nAnswer: -9111060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 91735?\nAnswer: 366940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(1*(sqrt(336)\/(sqrt(72)*-2 + sqrt(8)))\/((sqrt(600)*3 - sqrt(600))*3))**2.\nAnswer: 45007\/22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*j - 4 - 11*j - 3 to k + q*j and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1936864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -0.71 in ascending order.\nAnswer: -0.71, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -150, -514, -1210, -2346, -4030, -6370?\nAnswer: -9474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*x = -36*x + 37*x - 33048. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-2)\/(2\/59) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:28 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - r**2 - 1. Let j be p(0). Let m be ((-9)\/6*1)\/(-3). Which is the nearest to j? (a) -4 (b) -4\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - sqrt(76)*3 - (1 + sqrt(76))**2.\nAnswer: -77 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = 2. Let p(s) = s**2 - 28*s + 77. Suppose 3*w + 3*o - 6*o - 81 = 0, o = -2. Let x be p(w). Solve t*r + 2*r + 23 = -x*h, 3 = 3*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -65*n**3 + 9*n**2 + 3*n. Let l(q) = -129*q**3 + 15*q**2 + 7*q. Calculate -5*a(r) + 3*l(r).\nAnswer: -62*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 18742 in descending order.\nAnswer: 18742, 10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 237477785.\nAnswer: 237477788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2 - 7*v - 4 + 1. Let b(h) be the second derivative of h**3 + h**2\/2 + 15*h. Calculate 6*b(c) + 5*d(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72055134 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from bddddebbdsulbeub?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/20 - o**4\/3 + 3*o**2\/2 - 3*o. Let d be z(-4). Sort 4, 0, d in descending order.\nAnswer: 4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:15 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001101 (base 3) to base 13.\nAnswer: -3448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (78\/(-10) + 126\/70) - (31 + 1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 71058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 481 + -281. Suppose 18*f = 22*f - s. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466851 (base 15) in base 11?\nAnswer: 1997a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 4*k + 4. Let a be x(5). Suppose -2*o + 21 = -d + 3*o, 0 = -3*d - 4*o + 32. Put d, 10, a in ascending order.\nAnswer: a, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11997955 divided by -5\nAnswer: -2399591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4193387, 8386775, 12580163, 16773551, 20966939, 25160327?\nAnswer: 29353715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**3\/3 - 7*f**2\/2 + 3*f. Suppose -25 = 2*t - 7*t. What is g(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10a26 - 10c?\nAnswer: -10b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1433031?\nAnswer: -1433033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/13 bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**3 - 2 + 2*c**3 + 2.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 18 = -58. Suppose n*f = -3*p + 40, 11 = -p + 2*p + 4*f. Let b = -1 + p. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36272 - -36276. Suppose t - b + 0 = -5, 0 = -2*t - 4*b + 14. Sort 1, t, 3, w.\nAnswer: t, 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*d - 3*v - 21 = 0, -3*d - 4*v = -788699 + 788993 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -230. Suppose 0 = -5*q + 202 + i. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let l be n\/((-2)\/1)*-5. Find the second derivative of -3*p**2 + 3*p**5 - 3*p + 3*p**2 + l*p wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -15856*a + 15857*a - 8, -6*d - 4*a = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -v, 3*v + v - 58 = -5*z. Suppose 2*w = -4*y + v, -w - y - 4*y + 9 = 0. Suppose -3*l + w*l - 6 = 0. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 times 7.8\nAnswer: -17.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3442744 by -860686.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25849093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + a + 827 - 575 in the form y*a + w and give w.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -20, -19, -18, -17, -16?\n\"Answer: q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000 = 6*r + 1376. Let s = 593 + r. What are the prime factors of s?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 4*n**2 + 6*n + 3. Calculate the remainder when 46 is divided by i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-10)*144\/153?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 29*f**5\/4 + 10336033*f**4\/4 + 19959153*f**3\/4 + 8910323*f**2\/4 - 356413*f\/2 = 0. What is f?\nAnswer: -356413, -1, 0, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226 + 85. Find the common denominator of (-7)\/(-14)*212\/(-10) and (3 - 0)*n\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22664536 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -264, -397?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -79. Suppose 0 = d - 9*d + u. Suppose 0 = i - 2*k - 9, -4*i + 0*k = -d*k - 24. Solve -i*g - t - 17 = t, 4*g - 5*t = -40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.482 - 1.982. Which is the nearest to -1? (a) v (b) 1\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3208)\/36*(-6)\/56. Let j = s + -59\/6. Let r = -5 - -5.3. What is the second biggest value in -2, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41846 and 1220?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15436497 is divided by 150.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 933 - 816. Calculate the least common multiple of 13 and p.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-48))\/(14\/(-231))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:33 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s**2 - 1901818*s + 356592 = 0. What is s?\nAnswer: -59432, 3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 452607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 10 = -5*b, 3151 = b + 4*h + 3193 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, 5, 0.4, -0.9 in descending order.\nAnswer: 5, 0.4, -0.2, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751 - 7 = 93*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749938941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2605676?\nAnswer: 2, 59, 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3170000 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 203, -1, -25, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 - 806 = 44*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(-25)\/2*600\/(-500).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 4606900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7041.517 weeks?\nAnswer: 4258709481600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -8. Is 4 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42189200 to the nearest 100000.\nAnswer: 42200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 254676617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3363 - 0.0363. What is the closest to -1\/11 in -0.5, s, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 5*5 - (0 + -2)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11127*f - 244786. Calculate r(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 28*y + 22. Calculate r(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 948520 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609791, 610027, 610263, 610499, 610735?\nAnswer: 610971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2906, 5830, 8764, 11708, 14662, 17626, 20600?\nAnswer: 23584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-1))\/(14\/(-21)) + 2*-3. Sort -5, 2, 3, 127, y in ascending order.\nAnswer: -5, y, 2, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 + (-4)\/(-21). Let i be 13\/(-20) - (-2)\/8. Let r be (-4)\/10 - (-48)\/70. Sort c, i, r in decreasing order.\nAnswer: r, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 417357332 - -4?\nAnswer: 417357336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-60)*3*-1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 1 + 1)*(30 - 30 - 16*z**3).\nAnswer: 16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10506)\/37183)\/51*19.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11161256609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/32335 or -1?\nAnswer: -6\/32335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**4 + 2*l**4 + 0*l**4 - l**4 + 2 - 2 + (4*l**3 - 4*l**3 - 2*l**3)*(-7*l + l - 9*l) in the form d + h*l**4 + i*l**3 + g*l + f*l**2 and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-6 + -7 + 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2237 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 37, 4, 26, 1, 32 in descending order.\nAnswer: 37, 32, 26, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 - v + 1. Let a(i) = -i**2 - i + 1. Let m(t) = a(t) - c(t). Let r(h) = h. Let n(q) = 2*q. Let d(w) = 4*n(w) - 3*r(w). Determine m(d(z)).\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 177705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/11, -2838, 1\/3, -5, 2\/7, 10?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 58*r + 2\/3*r**3 - 18 - 110\/9*r**2 = 0?\nAnswer: 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0*p**2 + 1\/12*p**4 + 3*p - 1\/12*p**3 + 0. Factor h(t).\nAnswer: t*(2*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -24*t**4 - 8*t**2 - 7*t + 7. Let k(q) = -23*q**4 - 7*q**2 - 6*q + 6. Let b(j) = -6*h(j) + 7*k(j). Find the third derivative of b(s) wrt s.\nAnswer: -408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93573*y**3 - 107767*y**2 wrt y?\nAnswer: 561438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 0 - 3) + (-62 - -58).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 2*o - y, 5*o + 0*o = -4*y + 292. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 872746 to the nearest ten thousand.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 - 62 + 33 + 7)*(3*a**4 - 6*a**4 + 2*a**4).\nAnswer: 78*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -104420 (base 5) in base 3?\nAnswer: -12010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*i - 22, 0 = 37*q - 36*q - i + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124774*s**2 - 1432*s + 231756103 with respect to s.\nAnswer: 249548*s - 1432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:07 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -34*y**3 - 3*y**2 + 28. Let i(a) = -67*a**3 - 5*a**2 + 57. Let l(x) = 5*g(x) - 3*i(x). Find the first derivative of l(p) wrt p.\nAnswer: 93*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*p + 4*g - 413, -3*g = 5*p - 2065. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*a - 68. Suppose 5*r + 2 = -3. Calculate the least common multiple of (0 - (r + -9))*2 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:54 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -30. Let b(d) be the second derivative of -d + 3\/8*d**4 + 4\/15*d**6 + 3\/5*d**5 + 1\/12*d**3 + 0*d**v + 0. Solve b(z) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 6*c**2 + 6*c - 1. Calculate w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/666 and 81\/286.\nAnswer: 95238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4675 + 3259 = 422*h - 6414 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123387557 times -1?\nAnswer: -123387557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 11:17 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*70\/15*(-44)\/14?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -172, -330, -488?\n\"Answer: -158*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3\/2 + 46*a**2 - 2569*a\/2 + 11319 = 0.\nAnswer: 21, 22, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/2 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2\/2 + 5. Let d(u) = 21*u. What is f(d(z))?\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61\/176 - 7\/44. Sort h, -0.3, 7, 3 in increasing order.\nAnswer: -0.3, h, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46024.\nAnswer: 2, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18427 is divided by 217?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:49 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + 4*b)*(3 + 2*b - 3) + 3*b**2 + 5*b**2 - 7*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-18 + 1120\/64)*1\/((-2)\/108)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 20*x + 12. Calculate k(7).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -1 (c) 0.3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 270170*x - 20164 - 3*x**2 - 270454*x + 2*x**2.\nAnswer: -(x + 142)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -20 + 7 - -14 - (-4 - -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -62, 2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 22094 - 80547. What is the highest common divisor of 217 and b?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.3 and -3681.\nAnswer: -34233.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 61910 = 74*u - 81*u, -17694 = -2*u + 4*a. What is u rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(238) + -3*(sqrt(238) - (sqrt(238)*2 + sqrt(238))))\/sqrt(7))\/(((sqrt(12) - -1*sqrt(1200)) + sqrt(12))\/sqrt(6)).\nAnswer: 7*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*160\/(-16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.01 + -1. Let g = 538 - 539.01. Let s = g + j. Does -5 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 27?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Suppose -129 = 2*d + 4*a - 127, 0 = d + 3*a + 5. Suppose -n + 4*w - d = z, -2*n = -w - w - 4. Calculate the remainder when 38 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1449694 by 622.\nAnswer: 724847\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3323.6 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/75 - -1\/25. What is the nearest to -1\/4 in 0.5, r, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2.107 (b) 2\/3 (c) -129 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7223 = -4*n + 5*l, -2*n + 3*l + 3599 = -2*l. Let y be ((-2)\/(-6))\/((-20)\/n). Let b = -30 - y. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2226, -4561, -6900, -9243, -11590, -13941?\n\"Answer: -2*h**2 - 2329*h + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 110507006 (base 8) to base 4\nAnswer: 1020220320012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*j**3 + j**2 - j + j**4 - 2 - 3*j**4 + 2*j + j + j**4 as k*j**3 + n*j**2 + x + y*j + i*j**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.601 - -5.528. Sort l, 3\/7, 0.5, 0.\nAnswer: l, 0, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3485 - 3465 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-3) - (4\/4 - -2). Let i(l) = l**3 + 8*l**2 + 10*l + 8. What is i(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 62*b**5\/9 - 333820*b**4\/9 + 2399156*b**3\/9 - 1817672*b**2\/3 + 440926*b - 64524 = 0.\nAnswer: 6\/31, 1, 3, 5377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 372*u + 3326. What is o(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -51. Let c(h) = 40*h**2 + 7*h - 10. What is the tens digit of c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -4, -2\/157, 11, 2\/41, 3 in decreasing order.\nAnswer: 11, 3, 2\/41, -2\/157, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b91 + 0?\nAnswer: -3b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/20)\/(-1)*-6*3\/54.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8787, -10425, -12085, -13773, -15495, -17257?\n\"Answer: -x**3 - 5*x**2 - 1616*x - 7165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2377968 and -31\/2580.\nAnswer: 511263120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(304) - (sqrt(304) + 0)*-6) + (-1 + sqrt(304) + 4 - sqrt(304)))**2 + 4 + -1 + (sqrt(304) - (-3 + sqrt(304))**2) + -6*(sqrt(304) + 2).\nAnswer: 172*sqrt(19) + 14579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/6 + 7*x**3\/6 - 3*x**2 + 384*x - 1. Give i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*i + 247 = 3001. Calculate the remainder when i is divided by 20 + 4 + -4 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(12\/6 + -3). Calculate the greatest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 16*f**2 - 4*f + 38. Let v = 12 + -29. Let b be x(v). What is b rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8909*w + 671628 - 671628)*(5*w**2 - 4*w**2 - 4*w**2 - 2*w**2) to the form u*w**2 + r*w**3 + g + c*w and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 59*h + 20. Let t(j) = -20*j - 7. Give -4*d(g) - 11*t(g).\nAnswer: -16*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/16)\/(b\/(b*b\/(b\/(b\/(b\/(b\/((b*b\/b**40)\/b))))))) assuming b is positive.\nAnswer: b**(641\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37830, -151314, -340456, -605256, -945714?\n\"Answer: -37829*g**2 + 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2944\/22 - (-2)\/11. Suppose 3*b - l = -5*t, 0*t + 3*t + b = 78. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1566*l + 1853. Let t(a) = 313*a - 370. Let v(p) = -11*t(p) - 2*u(p). Find the first derivative of v(y) wrt y.\nAnswer: -311","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5 + 6201*g**4 + 74691*g**3 + 317823*g**2 + 548712*g + 299376 = 0.\nAnswer: -4, -3, -1, 2079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 786?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(1*sqrt(2)*-6))\/(((sqrt(175)*-2)\/sqrt(7))\/sqrt(5)).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -19790*q**2 - 28*q + 14. Let o(d) = 3958*d**2 + 6*d - 3. What is -6*c(p) - 28*o(p)?\nAnswer: 7916*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 6*b**2 + 6*b + 6. Let a be l(7). Suppose -8 = -4*w - 0. Let m = w + a. Solve 2*n = 3*n - m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655 < 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -160. Suppose -4*x + g = -12. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 650442*x**4 - 10*x + 105378.\nAnswer: 7805304*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4114)*-6)\/((1*-2*sqrt(2) - sqrt(2)) + sqrt(2)))**2.\nAnswer: 18513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 565849.222 rounded to the nearest one hundred?\nAnswer: 565800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13376?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -25*x**3 + 3*x**2 - 27*x. Let o(n) = 5*n**2 - 10*n**2 + 6*n**2. Let d(q) = -a(q) + 3*o(q). What is the second derivative of d(m) wrt m?\nAnswer: 150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 11*y**2 + 11*y + 4. What is w(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 33*w - 2. Let h be (870\/16)\/3 + (-7)\/56. Let t be 132\/h - 8\/6. What is the units digit of k(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 15, -3 in increasing order.\nAnswer: -3, 15, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2940)\/(-11340)*48\/28?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5983000 is divided by 87985.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 52. Let z = v - 20. Is 15 a factor of -7 + z + 90 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1365)\/(-22880)*-16*13\/(364\/(-48))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2945.062g in tonnes?\nAnswer: 0.002945062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0142687us to nanoseconds.\nAnswer: 14.2687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3259, 2375, 917, -1103, -3673, -6781?\nAnswer: -10415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 3 + (2 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + 0.35. Suppose 40 = -184*o + 194*o. What is the closest to -1\/4 in w, o, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-176) - -25*2\/(-88)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2\/(-13) + 0. Put -4, 0.2, v in increasing order.\nAnswer: -4, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7 = v + 15, 0 = -2*a - v + 8. Suppose 0 = 4*l - a*n - 487, 5*l + 3*n = 8*l - 363. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {i: 3, e: 4, c: 11}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 24*p**2 - 67*p**2 + 7.\nAnswer: -43*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866726111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 12. Let q be s(-11). Let a(t) = 5*t**3. Calculate a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 4, l: 5, b: 6}. What is prob of picking 2 b and 1 l?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1400 - -2363. List the prime factors of r.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115679\/110 + 11690\/11. Find the common denominator of o and -1 + 2 + (-198)\/64.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.05, -0.1828, 0.1 in descending order.\nAnswer: 1, 0.1, 0.05, -0.1828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*r**3 - 21*r**3 - 13*r**4 + (0*r - 4*r + 3*r)*(-2*r**3 + 0*r**3 + r**3) as p*r**3 + v + a*r + n*r**2 + i*r**4 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*q - 6*q - 2160. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272 + -242. Suppose 3376 = -p - 3*p. Let u be p\/(-14) - 8\/28. Calculate the highest common factor of u and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1681 = -t + 874, 0 = 4*m + t - 5115. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21182776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxjj. What is prob of sequence rjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2626*m - 2*m**3 + 3*m**3 - 25234*m.\nAnswer: m**3 - 22608*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6970*o + 37034 = 448264 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 5*f**2 - 6*f + 34. Is u(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 129 = 42. Suppose 5*p = 4*p - 2*d - 1, -z = 2*p - 5*d. Is 20 a factor of (30\/p)\/((-5)\/35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.52 + 0.08. Let v = -100 - -100.7. Let z = u - v. Is 0 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22892040, 22892042, 22892044, 22892046, 22892048, 22892050?\nAnswer: 22892052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 469, 468, 467, 466?\n\"Answer: -w + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143214021 (base 5) to base 8.\nAnswer: 2707212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 694.00000309 - 694. What is i rounded to seven decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 1, b: 4, g: 3}. Give prob of sequence bg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmu. What is prob of picking 1 l and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/12)\/(((-5)\/(-2))\/5). Which is the second smallest value? (a) 4 (b) 5 (c) 1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54312911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5 - 2*s - 1 - s + 0. Let p be q(-5). Suppose -51 = -4*g + 5*o, 21 = 2*g - 4*o - p. Calculate the highest common divisor of 45 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -16*o**3 - o**2. Let t be j(-1). Suppose -6 = -3*k + 4*v, -4*k + 5*v + 8 = -1. Solve 3*i - z = -4*z - k, -t = 5*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 4 + sqrt(51)\/sqrt(3)) + -3 + 1.\nAnswer: 2*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/101 (b) 2 (c) 0.3 (d) 0.2 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 101. Let w = 39.3 - t. Let q = w - -5.7000058. 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: Which is the third biggest value? (a) 8.48 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 287156, 287166, 287176, 287186, 287196, 287206?\n\"Answer: 10*s + 287146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -391\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 1 - 0. Let o = 19 + r. Let l = o + -12. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 10*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*n**5 - 10*n**5 + n**5 + (0*n**4 - 2*n**4 + n**4)*(-2413 - 97*n + 2413).\nAnswer: 101*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 13, s: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.2, -4517, 3\/4 in increasing order.\nAnswer: -4517, -0.4, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16b680 (base 13) to base 4.\nAnswer: -2022222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v + 3 - 3)*(2 - 12*v + 17*v - 3).\nAnswer: 40*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 54 = 144. Let q be (108\/(-8))\/a*(3 + -1). Let g be (((-3)\/3)\/1)\/(q\/6). Solve -g*x + 15 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 9145327 * 0.2\nAnswer: 1829065.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (30\/20)\/(1\/6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - j = 5, 5*j = 5*r + 10*j - 15. Let g = 51\/7 + -7. Which is the nearest to -3? (a) 1\/8 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 40150*i - 403005625.\nAnswer: -(i - 20075)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 4*k**2 - 4*k + 7. Let d be f(-5). Suppose s = 14*s - d. Solve -y + 3 = -s*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1134901 + -11285967\/10. Let y = 6297 - z. Find the common denominator of 33\/40 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7162ab (base 12) in base 10?\nAnswer: -1773347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:22 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4654996+-0.07\nAnswer: 4654995.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -238167031145716?\nAnswer: 238167031145715.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 515 and 5665?\nAnswer: 5665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -v + 23. Suppose -4*f - f - n = -154, -v = -f - n. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 4*w - w + w - 5 + 5 + (4*w - 4*w - 8*w)*(1 - 3 + 4) as s + n*w and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 98260, 4 in descending order.\nAnswer: 98260, 74, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**5 - 92*i**4 - 31415*i**3 + 45140081*i**2 + 1?\nAnswer: 120*i**2 - 2208*i - 188490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + -1 + 4\/16*4. Solve -f - 28 = -6*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-2)*(-32)\/120*3*1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**4 + 15*n**3 + 70*n**2 - 12*n - 200. Let q(f) = 6*f. Let m(v) = -8*q(v) + x(v). Factor m(j).\nAnswer: -5*(j - 5)*(j - 2)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222100 to the power of 1\/2, to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12644 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 3)*-1 - 0. Let b(d) = -4*d**2 + m*d**2 + 2*d + 632264 + 2127736. Let i be b(0). Round i to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2 and 61\/635098.\nAnswer: 635098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 3*n + 4. Let a be l(-2). Suppose 0 = -a*d + 7 + 1. Find the second derivative of -16*w**4 - 12*w**4 + 9*w**d - 27*w wrt w.\nAnswer: -228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/28 - 2) + 26\/(-70).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5870.5 rounded to the nearest one hundred?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/20 - 19*h**3\/6 + 2*h**2 - 87*h - 10. Let q(w) be the first derivative of 2*w**3\/3 + 2. Give c(q(l)).\nAnswer: 12*l**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 7*u**2 - u**2 + 3*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68152187 to four dps.\nAnswer: 0.6815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + -12. Let t be (264\/h)\/(2\/(-5)). Suppose 3*n - 58 = -t. Solve 4*w + n = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4\/3))**40*u**22\/u**(-2\/63) assuming u is positive.\nAnswer: u**(548\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31046526 and 1580.\nAnswer: 310465260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.2 + -25.8. Let r = g + 26. What is the nearest to 0 in 0.2, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 6*t**2 - t. Calculate i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t + 2*t)*(0*t**2 - t**4 + 0*t**2) - 4*t**5 + 2*t**5 - 2*t**5.\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6935 is divided by 391?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152)*-6)\/sqrt(8).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -85291\nAnswer: -9\/85291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -32*u**2 - 17*u**2 - 4*u**2. Let j(n) be the second derivative of -n**3\/3 + 232*n. Calculate s(j(k)).\nAnswer: -212*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 31*h**3 + 2*h**2 - 2*h - 3. Let v(w) = 30*w**3 + 2*w**2 - w - 2. Let q(y) = 3*u(y) - 4*v(y). Give q(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let f be x(-2). Suppose 0 = -3*s + v - 5, f*v + v - 25 = -2*s. Suppose s*r = -3*r + 15. Solve -a + 0 = -r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58576742 plus -206?\nAnswer: -206.58576742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4\/13 - 10*m**3\/13 - 40*m**2\/13 + 70*m\/13 - 24\/13 = 0. Calculate m.\nAnswer: -3, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 2. Let j be x(-3). Let o be j\/(-12)*(-3)\/(-9). What is the second biggest value in 4, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 11, 5, 50, -2, -3, 34 in ascending order.\nAnswer: -6, -3, -2, 5, 11, 34, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27747311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 461.0043 - 461. Let z = w + -6.0043. Suppose 0 = -2*h + g + 6, -2*h - 5*g + 2*g - 10 = 0. Is z <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2656 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(-2)*-39*(-3)\/(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 24*o + 372. What is h(-24)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940383 is divided by 2399?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/12 + 77*u**3\/6 + 9*u**2\/2 + 359*u + 3. What is z(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 20, -8*j + 10*j + 16 = -4*c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -17, -19, -11, 13, 59, 133, 241?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0638 - 699.8638. Round a to the nearest 10.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 0.0127.\nAnswer: -0.4873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a012 (base 13) to base 5.\nAnswer: 10012412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110020 (base 4) to base 9.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**6\/180 + s**5\/15 + s**4\/3 + 5*s**3\/2 - s**2\/2 - 4*s + 13. Let u(w) be the second derivative of c(w). Factor u(z).\nAnswer: 2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5 (b) 0 (c) -0.1 (d) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240*r**3*z**2 - 2302*r**3 - r**2*z**2 - 2*r*z**2 + 2*r*z wrt z.\nAnswer: 480*r**3 - 2*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) + 102\/14. Suppose -190 = 19*w - 0*w. Let h(v) = v**2 + 4*v - 32. Let r be h(w). Calculate the greatest common divisor of r and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.635 - -0.535. Sort 1, 0.0137, r in decreasing order.\nAnswer: 1, 0.0137, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-5*b**4 - 7*b**4 - 7*b**4).\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-225)\/5)\/(-5))\/(7\/(77\/3)). Let b be 6*(2*3 - 2). Let q(h) = 9 - 1 - h**2 - b*h + p*h. Determine q(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -80*r**3 + 1. Let g be l(-1). Let j = g + -71. Calculate the lowest common multiple of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340277301203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -7*t - 11, -151*t + 149*t + y + 14 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001110 - -1110101000000111001?\nAnswer: 1110101000111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*99\/220*5. Which is the nearest to 1\/2? (a) -465 (b) x (c) 4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788321352 to the power of 1\/4, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4\/7))\/((a\/(a**(-18\/5)*a*a))\/a) assuming a is positive.\nAnswer: a**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690163353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6107955 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1031, 4044, 9071, 16118, 25191, 36296?\n\"Answer: z**3 + 1001*z**2 + 3*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20284 - -31229. What are the prime factors of r?\nAnswer: 5, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96178 and 874?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*r + r + g, -5*r + 30 = -2*g. Let v(s) = -5*s - 5. Let p(l) be the first derivative of l**2\/2 + l + 17. Give r*p(o) + v(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31727 is divided by 244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 436847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1, -0.5, 19\/2, 0.03, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 399. Let p = h + 570. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-101952707\nAnswer: 10195270.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-65) + (293\/(-5))\/(-1). Let n = p - 49. Solve -4*w**4 - 13*w + 19*w - n*w + 4*w**2 + 4*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f - 42. Let m(a) = -12*a + 105. Let g(n) = 6*m(n) + 15*u(n). Let j(l) = 205*l**2. Give g(j(w)).\nAnswer: 615*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 26*s**2 - 3109*s**3 - 9*s - 30 - 8*s**2 + 3106*s**3 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*s - 96, 0 = 2*w - w - 4*s - 39. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 291*t - 1. Let h(s) = -291*s + 1. Give 5*h(g) + 6*o(g).\nAnswer: 291*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 299, 543, 861, 1259, 1743, 2319, 2993?\nAnswer: 3771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13171690 divided by -2\nAnswer: 6585845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64.4 in 0.3, 0.2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + (-1)\/(-1) - -4)*1. Solve m*a + 1 = -9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328 (base 12) to base 8.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 21452193?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 566 + -22002?\nAnswer: -21103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -6, 0 = 3*n - m - m - 6. Solve 4*b = -b + 20, n = -4*h + 2*b - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 40 + 15 - (-6 + (-43 - -5)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -337240*z**2 - 31*z - 15523.\nAnswer: -674480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 27116648666.9043?\nAnswer: 27116648666.4043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**2\/2 - 7*f - 29. Let t be i(10). Let n(g) = g**3 - g**2 + 3*g + 2. Determine n(t).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 - 1) + (-79 - -48)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*a + 18 = 180*a. Let x = 337 + a. List the prime factors of x.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -2239.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 1. Let x(h) = 3*h**6 + 4*h**2 + 4*h + 4. Let b(d) = -4*c(d) - x(d). Find the third derivative of b(k) wrt k.\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) - (-97175)\/13455 - (-348)\/(-15).\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917711 is divided by 927?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 189703047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12287\/(-22)*(-1 - -3). Let k = 1754 + 316. Let p = k + a. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33597475519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 12*b + 0 + 2*b**4 - 7*b**4 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.543544021 + 2719.\nAnswer: 2698.456455979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5636.1006 * -0.5.\nAnswer: -2818.0503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -34606 and -34444 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -920143 + 1799472. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 117?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxn when three letters picked without replacement from ffvffcfnfxcncvnfc?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 94 - 24)*(-93 - s**2 + 93) + (2*s - 3*s + 3*s)*(s - 4*s - s) as p*s + d + g*s**2 and give g.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(9\/(-6)) + -31. Let u = z - -38. Find the second derivative of 13*w**2 - w - 5*w - u*w + 3*w wrt w.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -13. Let j = s + 8. Suppose -5*t = -6*g + g, 0 = -2*g + t. Which is the nearest to g? (a) -3\/7 (b) -2\/13 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4759744?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-15)*(-22)\/132?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4956, -52, 3, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 190 = q + 26*q. Which is the nearest to -21? (a) -0.1 (b) q (c) -0.02 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234 + 224. Let s be (-124)\/25 + (w - -15). Which is the third smallest value? (a) 5\/6 (b) s (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1863515, 3727032, 5590549, 7454066, 9317583?\nAnswer: 11181100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-35) - 60\/(-14). Suppose k*a - 6 = 6. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 23. Let d = w + -30. Let l(m) = 6*m**2 + 5*m + 7. List the prime factors of l(d).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-16) + (-5)\/(-10) + 123473\/56 is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 3*n**4\/8 - 7*n**3 + 2*n**2 + 27*n. Let o be i(5). Solve k = 5*j + 5 + 8, -5 = o*j - 2*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(2\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868491939 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 32 (c) 2 (d) 0 (e) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -496 + 343. Let p = -566 - u. What is the least common multiple of p\/(-21) - 1\/(-3) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 29*k**2 + 464*k + 3. Determine c(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41781659?\nAnswer: 41781659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 12*r**2 + 52*r + 141. Determine p(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {p: 1, m: 1, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unununononuouunon. What is prob of picking 2 n, 1 u, and 1 o?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1048187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**5 - 19*u**5 - 4*u**5)*(-4 + 3 + 0)*(-2 + 7 - 2).\nAnswer: 63*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27510 divided by 223?\nAnswer: 27510\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 33\/264*128 + 10\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49 (b) 0.1 (c) 55.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) + sqrt(126)*2 + sqrt(126))*-4)\/sqrt(7) + sqrt(216)\/((sqrt(12) - sqrt(60)\/sqrt(5))*-4 + sqrt(12)))**2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.93 - 0.07. Let b = 6 + a. Let k be 1\/5 + 21\/45. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c + 1. Let f(n) be the third derivative of -5*n**4\/12 - n**3\/2 - 11*n**2. Determine 2*f(w) + 7*k(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {u: 1, p: 1, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9202.\nAnswer: 2, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5750 and 4485.\nAnswer: 224250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -378*l**2 + 115*l + 8. Let u(q) = 252*q**2 - 77*q - 5. Let a(g) = -8*u(g) - 5*x(g). What is the second derivative of a(k) wrt k?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18142, -18191, -18292, -18469, -18746, -19147, -19696, -20417?\nAnswer: -21334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 242105723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -299.789588 * -0.4.\nAnswer: 119.9158352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53619, 214196, 481837, 856542?\n\"Answer: 53532*w**2 - 19*w + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13335*h + 10924*h - 22415*h - 2 + (-4 + 4 + 2*h)*(6 - 3 - 4) + 0 - h + 0)*(4*h - 1 + 1).\nAnswer: 7364*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5448 and 744.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 28*k + 50 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 11) to base 10.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*z - 145, 0*z + 78 = 2*m - 4*z. Suppose 2*b = -3*b - 80. Let w = m + b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039103211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -27. Calculate the remainder when v is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1613 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 + 393 = 7*s. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02492952 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a hour in seconds?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*s = 2*z - 52, 4*s + 10 = z. Calculate the greatest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1902 + -146d4?\nAnswer: -12dd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.07 - 2.93. Sort g, 2, 0 in ascending order.\nAnswer: g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -650 divided by 650?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/2943 and -107\/3086880?\nAnswer: 27781920","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 277, 275, 273, 271?\n\"Answer: -2*g + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a milligram in micrograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.007 - 43365\nAnswer: -43365.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -309*l - 304*l + 615*l. Let v(u) = 5215*u**2. Calculate v(h(o)).\nAnswer: 20860*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -75.2. Round i to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 1 - 19. Suppose -4*g = -m*g - 20. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1286\/197129?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -28*s + 176, -5*s + 13*w - 2*w = 4*w + 9*w - 27 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/10)\/(1\/10). Let q = 636630 - 636635. Sort h, q, 3, 2 in descending order.\nAnswer: 3, 2, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*v = -1, 4*k - 2*v = v + 1. Suppose 3*r - k - 5 = 0. Suppose -r*c + 172 = -2*f, 4*c - 2*f = 360 - 10. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x + 3*q - 6*q, x + 1 = q. Suppose 56 = -x*n + 68. Suppose 0 = 5*t - t - 0*t. Solve -n*s - s + 20 = t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -94 + 96. Let o(g) = g**3 + 6*g**2 - 2*g - 8. Suppose -2*z + 3*x = 26 + 1, -z = -5*x + 31. Let m be o(z). Solve -n + m = c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164629391.\nAnswer: 37, 41, 47, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(22)*3)\/(sqrt(11) + sqrt(55)\/(sqrt(245) - sqrt(5))) + ((sqrt(16)\/sqrt(4)*-2 + sqrt(4))\/sqrt(2) + -5)**2*-6.\nAnswer: -162 - 330*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*(-2618)\/308\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8068364, 8068362, 8068360, 8068358, 8068356, 8068354?\n\"Answer: -2*m + 8068366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -5*v**3\/6 - v**2\/2 + 3*v. Let w be q(-1). Suppose o - w - 1 = 0. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h - 70. Let s be l(-13). Suppose s*m - 585 = -144. Calculate the remainder when 166 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.011 and 6.4.\nAnswer: -0.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) - 1*sqrt(2736)*-2)) + sqrt(2736))**2 + ((sqrt(2736) + sqrt(2736) + 2)*6)**2.\nAnswer: 3456*sqrt(19) + 396864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5, 2\/33, -7, -6, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (160\/(-180))\/(2\/(-9)) + -1. Solve -5*p - 4*h + g = -2*h, -p - 4 = 5*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 20015*i - 120270.\nAnswer: 5*(i - 4009)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 0 + 1 - (259 + -308 + 23).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, p: 3}. Give prob of sequence pqq.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -178, 214, 1 in decreasing order.\nAnswer: 214, 3, 1, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14203 - -4?\nAnswer: -14155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**4 + 115*f**3 - 780*f**2 + 1100*f + 2000 = 0.\nAnswer: -1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u + 9. Calculate l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/10 + j**4\/4 + j**3\/3 + j**2. Let l(u) = u**2 - 16*u + 17*u + 5 - 5. Calculate -8*l(f) + y(f).\nAnswer: -2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137706.\nAnswer: 2, 3, 59, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Let g(y) = -y + 4 - 2*y + d*y. Calculate the remainder when 20 is divided by g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67438131.\nAnswer: 3, 22479377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/105 and (7\/630)\/((-6)\/924)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o. Suppose -3*n + 37 = g, o = 3*g - 4 + 1. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) -1\/4 (c) 4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 592 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18392618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n\/((n\/(n**21\/n*n*n))\/n))\/n)*n)\/(n*n*n**(-1\/10)*n))**(-42\/11))**(-2\/83) assuming n is positive.\nAnswer: n**(-9618\/4565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101093?\nAnswer: 43, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93602*a**3*n**3 - a**3*n**2 + a**2*n**3 - 27*a**2*n**2 + 11*a*n**2 + 25*n**3 wrt a?\nAnswer: 561612*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -11, -6, 5, 22?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 417.9511mm?\nAnswer: 417951100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + 3 - (0 + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42372796789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/(9468\/2630)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 171642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21147 or 148024\/7?\nAnswer: 21147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 8*k**2 - 50*k + 21. What is n(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331*a**4 - 94*a**2.\nAnswer: -7944*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2466 = d, 2*s - 5*d - 1133 = 1321. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4014 and 4683.\nAnswer: 28098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10031220 + 0?\nAnswer: 10031220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2300 and 63756?\nAnswer: 1593900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27419698, -27419678, -27419630, -27419542, -27419402, -27419198, -27418918?\n\"Answer: 2*o**3 + 2*o**2 - 27419702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 2:17 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 33 = -5*m, m - 3*m + 58 = 4*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8391 divided by -463\nAnswer: 8391\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*a**3 + 1 + 6*a**2 + 5*a**2 - 3 - 12*a**2 to the form r + c*a**3 + w*a + u*a**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 2*g**2 + 2*g. Let d(z) be the third derivative of -z**6\/90 + 5*z**3\/6 - 6*z**2. Let n(s) be the first derivative of d(s). Give i(n(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, t: 1}. What is prob of sequence gz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2 - 82*d - 338. Let t be u(-14). Sort 4, 3, 2, t in increasing order.\nAnswer: 2, 3, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 71 (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-10 - (2 - 6)) - (8 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 75749739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 1. Let z(y) = 6*y**2 - 4*y + 3. What is 2*u(h) - z(h)?\nAnswer: -6*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10286075 * -21\nAnswer: -216007575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 415551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63261211\/153837 + -2\/17093. Let r = a + -411. Put 1\/2, 0.1, r, -3.9 in descending order.\nAnswer: 1\/2, r, 0.1, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2172007 is divided by 580?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2096, -2095, -2094, -2093, -2092, -2091?\n\"Answer: x - 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1469532.6 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a**3 + 332*a**2 - 788*a + 312 = 0. What is a?\nAnswer: 1\/2, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 19 + 15 = 0. Let a(g) be the first derivative of g**3\/3 + 4*g + 1. Let r be a(0). Put -3, r, x in decreasing order.\nAnswer: r, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4440 and 5808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 3*n**2 + 2*n**2 + (0*n + 4*n - 3*n)*(2 - 2*n - 2))*(-472 + 187*n**3 + 289 + 185).\nAnswer: -748*n**5 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**9\/151200 + m**7\/12600 - 7*m**5\/60 - 5*m**2. Let c(x) be the third derivative of k(x). Factor c(r).\nAnswer: -2*r*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d + 7. Let r be t(-2). Which is greater: r or 22?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -3 - (-2 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5461 + -3?\nAnswer: 5456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8249.1 millilitres to litres.\nAnswer: 8.2491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635680157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -h + 7 + 1, -4*h + f - 3 = 0. Let z(s) = 23*s**2 - 4*s - 5. Is z(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-1*(-2 - -3)). Let n(p) = -11*p - 3. What is the units digit of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 u when three letters picked without replacement from {f: 3, x: 1, u: 2, e: 10}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19426636.\nAnswer: 2, 29, 167471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 + -79. Let u(h) = 8*h - 19. List the prime factors of u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzv when three letters picked without replacement from {c: 6, v: 10, z: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(-3\/5))\/(s*s**(2\/11))*s*s*s**(-1\/7)*s*s*(s\/(s\/(s\/(s\/(s\/s**(-5))))))\/s)**48 assuming s is positive.\nAnswer: s**(208368\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 7320 = 3*o, -2*o - 3*a + 664 = -4197. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m - 368 = 0. Suppose 5*v + 14 = -2*w + m, 3*v - 2*w = 34. Let h(u) = u + 2. Calculate the least common multiple of h(4) and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53950?\nAnswer: 2, 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 655051, 655055, 655059, 655063?\nAnswer: 655067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 36. Let u be j(-11). Let g(f) = 4*f**2 - f + 1. Let i be g(1). Suppose i*t + 40 = 4*p, -2*p + 6*t = 5*t - 18. Solve -u*k = -5*k + p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2945134140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*y + 40 = -5*y, 4*m - 46 = 5*y. Factor -2*o**5 - m*o + 4*o**2 + 5*o**2 + 4*o**5 + 7*o**2 - 12*o**3 + 3*o.\nAnswer: 2*o*(o - 1)**3*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -0.0127481?\nAnswer: 0.4127481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -737 = -74*b + 965. Solve 20*r + 8 = 5*s + 24*r, r = 5*s - b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:30 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 4:23 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -574*f**4 + 4*f**2 - 93*f + 4. Let m(u) = -2869*u**4 + 22*u**2 - 465*u + 21. Let w(o) = -2*m(o) + 11*s(o). Find the second derivative of w(c) wrt c.\nAnswer: -6912*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = 236. Let j = -22 + h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -5*f**4\/24 + 8*f**3\/3 - 7*f**2. What is the remainder when d(-11) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 9. Let o(l) = 4*l + 61. Suppose -6*q + 3*q + 9 = 0, 4*d - 3*q + 77 = 0. Let f be o(d). Calculate h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -181086, -182006, -182926, -183846, -184766, -185686?\n\"Answer: -920*h - 180166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 130\/(-14) - ((-6 - 1) + 4). Let j = 873\/140 + s. What is the common denominator of j and -57\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/245*70\/(-340)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227.623 - -226.5. Let n = t + -32.027. What is n rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*59\/((-1661853)\/(-164))?\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i + 60. Let b(w) = -2*w**2 + 122*w - 1856. Let t be b(29). Calculate s(t).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -36bc66?\nAnswer: -36bc71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1013803 (c) 5 (d) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1335\/2057?\nAnswer: -1335\/2057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(1848\/(-8))*21\/(-26)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/61334900 and 3\/2200.\nAnswer: 122669800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3740 (base 9) to base 15\nAnswer: c60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8302028 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 13*b + 11. What is v(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 41. Solve 3*o + 10*h = 5*h + 5, n = -o - 2*h + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*a - 26 = 0, 5*a + 1 - 11 = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 682\/9, -1\/3, -0.3, 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*p - 249 = 5*f + 411*p - 203*p, -31 = -5*f + p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.65 + -20013265.\nAnswer: -20013300.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -20*t - 40. Let r be y(-2). Sort r, 227, -4.\nAnswer: -4, r, 227","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 22 = -3*d - 20, 9*d = -13*d + 3*k - 32 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/(-8)*2)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2. Let g(z) = -26*z**2. Let x(a) = -3*g(a) - 16*k(a). Let f(t) be the second derivative of 91*t**3\/6 - 559*t. Give f(x(s)).\nAnswer: -182*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 14*r - 61. Calculate c(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -66ab25?\nAnswer: -66ab25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/3495240 and -35\/108.\nAnswer: 10485720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -68*k + 4. Let t be u(-5). Is t\/10 + (-12)\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + 5*p**2 - 2*p + 9. Let f(y) = y**3 - y**2 + y + 1. Let z(h) = 4*f(h) - t(h). Is z(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 2136200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -631*v**3 - 41642*v**2 + 40951*v**2 + 69*v**3 wrt v?\nAnswer: -3372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2979, 5949, 8907, 11853, 14787?\nAnswer: 17709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -728*z**5 + 135*z**2 - 339*z**2 - 40*z + 173*z**2 wrt z?\nAnswer: -43680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-11 - (0 - 7 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/36*(3 + 0))\/10. Let m(y) be the second derivative of 0 - y**2 + p*y**6 + 0*y**3 + 0*y**5 + 4*y + 0*y**4. What is the derivative of m(u) wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 850*q**2 + 4188*q + 5040.\nAnswer: 2*(q - 420)*(q - 6)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169 + 352. Let x = h + -99. Let p = -49 + x. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 5) + -6 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 179960 and 670351?\nAnswer: 4499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5596.6 to the nearest one hundred.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -135583956 to the nearest ten thousand.\nAnswer: -135580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 3*u + 43. Let x be v(-8). Let t be (12\/8 - x)\/(-11 + 15). Put 1\/4, t, -2, 2 in increasing order.\nAnswer: -2, t, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 49?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*z**3 + 80*z**3 - 32*z**3)*(17*z + 2 - 1 - 22*z).\nAnswer: -95*z**4 + 19*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 2. Let p(f) = 23*f + 2. What is p(k) + 3*u(k)?\nAnswer: 17*k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.5, 0.2, -3, -111\/4 in decreasing order.\nAnswer: 0.5, 1\/3, 0.2, -3, -111\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-one halves of a millisecond?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 5*o - 6. Let f be 6\/(-9)*(-6)\/2. Suppose 2*x = -2*l - f*l + 12, 4*x - 2 = 3*l. Let r be -1*(l\/(-2) - 3). Calculate z(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 776.9983mg?\nAnswer: 0.7769983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 - (-39)\/6. Let b = 8 - h. Let r(u) = 11*u**2 + 1. Does 4 divide r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179734*-3.3\nAnswer: -593122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4508587778 - 0.3\nAnswer: -4508587778.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 59*o**4\/8 + 53*o**3\/6 + 4*o**2 - 7. Is p(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20939 - 20886. Solve -r*j + 48 = -61*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11414 is divided by 2296.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 20010?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 6:51 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12809*d**3 + 2947*d**2 + 104009085 wrt d.\nAnswer: 38427*d**2 + 5894*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88192.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 2140 = 218. Let b = -60 + k. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m**3 - 4*m**3 + 0*m**3)*(-2*m + 5*m - 5*m) + (m - m**3 - 182 + 182)*(33*m + 38*m - 70*m) to t*m**3 + b + q*m**2 + i*m + j*m**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(-30) assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101133 (base 5) to base 2.\nAnswer: 110011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*m**3 - 13*m**5 - 5*m**4 - 2*m**5 + 75*m**3 - 80*m**2 wrt m?\nAnswer: -900*m**2 - 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4930, -4926, -4912, -4882, -4830?\n\"Answer: p**3 - p**2 - 4930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -64. Let l = g + -2. Suppose -13 - 2 = -3*z. Calculate the highest common divisor of l and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*a + 83, -a + 5*i = 2*a - 56. Calculate the remainder when a is divided by (-4 + -1)\/(-1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1015 divided by -203\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 480.57 + -438. Let h = -44.845 + -0.055. Let n = p + h. Round n to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 1128731*z**3 - 7862649*z**3 + 0*z.\nAnswer: -6733918*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -15. Let d = 8 + -5. Solve 5*r - d + f = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 11*x + 7. Let j be r(10). Suppose 3 = 5*q - 17. Let l be (4\/(-8))\/((-2)\/q). Which is the biggest value? (a) l (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18952?\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 e when three letters picked without replacement from dtpdpedpppereeedpppp?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2420132 (base 11) in base 7?\nAnswer: -50561526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a + 6. Let x(u) = u - 1. Let s(l) = j(l) + 6*x(l). Let o(d) = -126*d**2. What is o(s(p))?\nAnswer: -126*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = m - 3*w, 3*m - w = 2. Let z be (-1 - m) + (0 - 1). Let x be z\/18*-3*4. Calculate the highest common divisor of 3 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*h**3 - 390824 + 390824 - h in the form w*h**2 + f*h**3 + k*h + i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 547398130?\nAnswer: 2736990650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -32.7 (b) 0 (c) 10 (d) -3 (e) 5 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2. Suppose 0 = -f - 4*f + 4*h + 930, 0 = -4*f + 2*h + 744. Let u(j) = -f + 186 - 8*j. What is u(y(a))?\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.870118l in millilitres?\nAnswer: 3870.118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1511927963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9636*l = -7038*l + 223428 for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4007.54*-1\nAnswer: 4007.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*h = -74, 3*j - j + 72 = 2*h. Let p = -24 - j. Calculate the smallest common multiple of p and (1\/4 + -1)*-12.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2317532 or 2317517?\nAnswer: 2317532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/9570 and 101\/689040.\nAnswer: 689040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1230*s**5 - 4*s + 102?\nAnswer: -24600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/1 + (-294)\/(-637) + (-384)\/(-13). Solve -13*r = n*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q + 11. Let v be g(-3). Let c = 20 + 12. Let i = c + v. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 2, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 15857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5477, 95 in ascending order.\nAnswer: -5477, 11, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 237818837 to the power of 1\/2, to the nearest integer?\nAnswer: 15421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 62\/6 - (-4)\/(-12). Suppose -w*z = -9*z - 6. Let n(y) = y**2 + 4*y - 1. Let s be n(-2). Which is the nearest to 2\/5? (a) z (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77957286 divided by 38978643.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -3*b + k + 22, -9 = -3*k. Let c be b\/(-4) + (-3)\/4. Suppose -c*a - a + 213 = 3*z, 4*a = -2*z + 276. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 20*y**2 + 48*y - 8. Let b be i(-6). Let t = b - 91. What are the prime factors of t?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0*x - 8 + 10 - x. Let v be b(3). Which is bigger: v or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)\/(m\/(m*m*m\/(m*m**3)*m*m)) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 3*g + 15. Let f be d(5). Let p = f - -56. What are the prime factors of p?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5.1. Let j = -36.063 - -0.063. Let f = 38 + j. What is the closest to n in -0.2, f, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 + -122. Suppose -2*t - 4*d = -2*d - 20, -25 = -4*t - d. Let b = t - q. Solve -2*k - 4*p - 1 = 9, -3*p - 8 = b*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Suppose -3*u + c + 1 = 0, -3*c = g*u - 4 - 6. Solve 21 = 5*y + u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + 3*u**2 + 0*u**2 + (u + 2*u - 2*u)*(u + 4*u - 3*u) - 10 + 2*u**2 + 10)*(-3 - u + 3) as p + w*u + v*u**2 + k*u**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1242179904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5066 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259316 - 3223469990.\nAnswer: -3223729306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70158 by -11.\nAnswer: -6378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.09904 to three dps.\nAnswer: -1.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -511, -512, -493, -442, -347, -196?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1243234311 - -2?\nAnswer: -1243234304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000218886247 rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-52)\/(-20))\/(7 - (-136404)\/(-19485)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-4) + (-42)\/56. Let r = -4.99 + -0.01. Which is the second smallest value? (a) v (b) -3\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(10\/9)*v*v**26)\/((v\/v**(1\/35))\/v*v**(-2\/85)))**16 assuming v is positive.\nAnswer: v**(2393984\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = 18*x + 1176. Suppose 3*y - 117 = -4*v, 4*y - x + 25 = -v. Suppose 0 = 6*b - 11*b + y. Calculate the highest common factor of 14 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17117 is divided by 106?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 14*p + 3. Let b be u(-14). Sort b, -3, -5 in descending order.\nAnswer: b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -194, -247, -270, -257?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = 2*t - 104, i - t - 29 = 0. Let p = i + -22. Suppose 6*g - g = p, 5*g = -5*c + 60. Which is smaller: 10 or c?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 175, 248, 319?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183 + -183 - (1 + -8 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 1\/28*f**8 + 0*f**5 + 0*f**6 + 0 - 21*f**2 + 1\/4*f**4 + 0*f + 0*f**7 + 0*f**3. What is the second derivative of o(w) wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 1 n when three letters picked without replacement from {f: 3, n: 2, i: 6, e: 4}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-352)\/(-24)) - (-45)\/(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-3\/8))*k**(-1\/4))\/(k\/k**5*k*k**(4\/3)) assuming k is positive.\nAnswer: k**(25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 + 410. What is the second derivative of 71*n + p*n - 35*n + 71*n**2 wrt n?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(1\/2)\/((-150)\/30)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-6))\/(-2 - 0). Suppose -24 = 7*t - t. Let s be -1 + 0\/(t\/(-4)). What is the closest to s in 0, v, 2.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(12\/(-4) - -4). Sort -8, q, 0, -4 in decreasing order.\nAnswer: q, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 46853 = 4*l, 4*o + 18*l - 37489 = 17*l. Calculate the highest common factor of 26 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.218644um in nanometers?\nAnswer: 1218.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -161*v**2 - 193*v**2 - 4 + 1 + 3 + (0 + 0 + 2*v)*(3*v - 5*v + 4*v) + v**2 - 6*v**2 - 2*v**2.\nAnswer: -357*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**3 - 2*f**2 + 9*f + 3. Let l(a) = a + 1. Let j be l(6). Let g(x) = 9*x**3 - 5*x**2 + 17*x + 7. Let b(t) = j*v(t) - 4*g(t). Give b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 + -3.7. Let v = -1.1 + 5.1. Let o = 9 - v. What is the nearest to -1 in o, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - 34aa?\nAnswer: -3499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -62, 4, 3 in decreasing order.\nAnswer: 4, 3, -2, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116\/16 - 6\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v + 2*v. Let q be (4\/110)\/(v\/10). Let w = 1.6 + -2. What is the smallest value in w, -1\/6, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161233827 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -855 (base 13) to base 5.\nAnswer: -21142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3052004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + v = -0 + 8, 4*t = -4*v - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/17)*b*b**(-13))\/(b**(-2\/17)*b*(b*b**(-1\/3))\/b) assuming b is positive.\nAnswer: b**(-586\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z + 8 = 25*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 588, 648, 748, 888, 1068?\n\"Answer: 20*j**2 + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 3654?\nAnswer: -3655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5400 and 7867530.\nAnswer: 157350600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319993 is divided by 1760.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -48*r**3 - r**2 + 2*r + 3. Let l = -97 + 96. Let v be d(l). Calculate the greatest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222550340?\nAnswer: 2, 5, 997, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3)*k)\/k**(2\/19)*((k*k*k\/(k*k**2*k)*k)\/k)**(-34) assuming k is positive.\nAnswer: k**(739\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.02626*-0.3\nAnswer: -0.007878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.243 at most -6\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxxxnxnxnkxxnxkknxx. Give prob of sequence kxnx.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 2352?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29104 (base 12) to base 3\nAnswer: -2220102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j = 224*j - 9*j - 1730 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 9*q + 57 = 4*q - 84, 0 = 2*r + 3*q + 30 + 53 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 570713 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 3*a + 6 - 7)*(2*a - a + a - 2*a + 6*a - 3*a + 0 - 2*a + 0 + (0 + 3 - 2)*(4*a - a - 4*a) + 3*a - 3*a - 2*a) to v*a + s + j*a**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*r + 11940 = 0, -3*r - r - 11948 = -4*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4*m - 85. Calculate the remainder when 183 is divided by d(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 23 + 3*u + u + 4*u**2. Is a(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3877209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*t**3 + 0 + 483\/5*t + 96*t**2.\nAnswer: -3*t*(t - 161)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = -6. Suppose -h + 3*q = -0*h - 3, -q + l = 0. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532 + 95 + 555*g - 530*g.\nAnswer: 25*g - 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 969161 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 22*n**2 - 6*n + 4. Let d(q) = q**2 - 2*q + 1. Calculate 3*d(y) - u(y).\nAnswer: -19*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 319 (base 14) to base 13\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/4)\/((-27)\/108)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 68 = 36. Let d = -1 - a. Suppose 39 = -0*p + 3*p. What is the remainder when d is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 0. Let s = 234111 - 234166. Which is the second smallest value? (a) s (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 25*z + 1986 - 654 = 0. Put 0, -24, z in ascending order.\nAnswer: -24, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217950 greater than or equal to -217935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/36 - 11*u**3\/18 - 13*u**2\/3 + 146*u - 131. Let f(b) be the first derivative of t(b). Determine a, given that f(a) = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391752.\nAnswer: 2, 3, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Suppose 3*i + 2*i = 2*n + 112, 5*n + 280 = -i. Let c = n - -59. Put c, 0.1, r in descending order.\nAnswer: c, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -h - 3*b, 5*h + b - 122 = -0*b. What is a in 16 - h + 4*a**2 + 7*a - 3*a = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74676*u**3 + 96431*u wrt u.\nAnswer: 448056*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4121, -4535, -4949, -5363, -5777, -6191?\nAnswer: -6605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 3*k - 5. Let v(t) = -7*t**2. Let b be v(k). Let n = b - -9. Calculate the highest common factor of 18 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120*t**5 - 2*t**4 + 6*t**2 - 2 wrt t.\nAnswer: -7200*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6241533 to the nearest integer?\nAnswer: 2498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*o - 11 = 0, -3*h + 6 = 9*o - 6*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -1\/270*i**5 - 3*i**2 - 1\/27*i**3 - 1\/54*i**4 + 0*i + 0. Let n(t) = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -17, 3\/8, -85 in increasing order.\nAnswer: -85, -17, -3\/7, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3)*(-36)\/6*(-675)\/2700*4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 - 3*i**2 + 3*i**2)*(982*i - 8242*i + 66 - 182 + 58 + 58).\nAnswer: -43560*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 - 90*c**3 - 2379*c**2 - 9990*c - 11232 = 0. What is c?\nAnswer: -13, -3, -2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 842*w**3 + 6*w - 842*w**3 + 2*w**5 wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -31845*r + 5. Let j(y) = -5306*y + 1. Calculate -17*j(l) + 3*o(l).\nAnswer: -5333*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/4 - 7*j**4\/12 - j**3\/2 - 3*j**2 - 12*j. Let n be q(-3). Suppose -80*a = -n*a - 445. What are the prime factors of a?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1675 - 839. Suppose 5*k + 45 = 0, -235 = -2*m - 3*k + 42. Calculate the highest common divisor of m and j.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 + 14*s + 3. Let o(r) = 3*r**2 + 13*r + 2. Let v(q) = 2*f(q) - 3*o(q). Solve v(d) = 0 for d.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3781186 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011101001111101 (base 2) in base 14?\nAnswer: -11a59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 - 55 + 12*j - 37 - 64 - 8*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 2*y**2 - 4*y)*(-516*y**2 - 4829 + 4829) - y**4 - 5*y**4 + 5*y**4.\nAnswer: -1033*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541466 plus 2408.0572?\nAnswer: 1543874.0572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -3, -3404, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - o = 33*o - 13*o + 451 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -187 (c) 6 (d) 10\/9 (e) 2\/5 (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -254, 0.43, -893?\nAnswer: -893","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1518\/545 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111379*i**3 - 1569*i**2 + 760?\nAnswer: 668274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 1:34 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.4, 16, -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3 = l, -20*o - 2*l + 4 = -16*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2504 - 165*p - 2684*p - 72*p with respect to p.\nAnswer: -2921","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (428676\/54)\/2 + (-2)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllblovlsasvobobvbo. Give prob of sequence ovo.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39970*d*f*x**3 + d*f*x - 9*d*x**2 - 792*f*x**3 - 3*x**3 + 2*x**2 + x with respect to d.\nAnswer: 39970*f*x**3 + f*x - 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:04 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**3 - r**2 + r - 1. Let b be f(1). Let x = b - 6. Is (-2)\/x*23 + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**6\/120 + v**5\/30 - v**4\/24 + v**3\/2 - 2*v**2. Calculate k(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 + 276 - ((-140 - -6) + -5)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 2. Let f(g) = -2*g + 2. Let y(c) = -4*f(c) - 5*o(c). Let h(m) = 2*m + 4*m - 3 - 3*m. Let t = -4 + 12. What is t*y(w) + 5*h(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*x**2 - 1308 - 1296*x + 51*x + 4*x**3 - 487*x = 0. What is x?\nAnswer: -3, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(132) + sqrt(132))*4)\/(5*(sqrt(24)\/sqrt(2) + sqrt(12))).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.1 + 10.1. Let u = 4 + -5. Let m = 1 - 1. Which is the closest to m? (a) -3 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7560381, -15120764, -22681147, -30241530, -37801913, -45362296?\nAnswer: -52922679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*a - 1, 5*q - 5*a + 10*a = 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5201507.00027 - 5201539. Let l = 32.66 - 0.66. Let k = b + l. Round k to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:41 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -303, -682, -1213, -1896, -2731?\nAnswer: -3718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Suppose -u - 15 = b*u. What is the units digit of (24\/20)\/(u\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*w = 20, -26*r = -w - 3068 + 3012 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(14\/(-25))*(4752\/(-180))\/33?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7483455 - -11374265. Suppose -31*v = -24*v - c. Suppose -4*g - v + 59830 = 0. What is g rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 3*k**2 - 2*k + 3. Let q be s(2). Let h be -6 + q - 5*-1. What is the derivative of 8*x**h + 4 - 2*x**4 - 2 - 8*x**2 wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + w + 2*w**2)*((-9 + 9 - 21*w)*(0 - 3 + 1) + w - 6 + 6) to x*w**2 + z*w + y + n*w**3 and give n.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -57*b + 54*b. Suppose b + 28 = 8*i. Solve 10 = -i*o - 0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17303893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 - 2*g**2 - 7*g**2 + 4*g**2. Calculate n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88129 = 350*p + 96529 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 51*c**2 - 21*c + 118. Let g be z(51). What is g rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4710*a + 3290*a**2 + 14137*a - 4713*a - 4714*a.\nAnswer: 3290*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -39.3. Let v = d + -4.3. Let x = v + 2.97. Which is the third smallest value? (a) -1 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**6\/3 - 6*y**5\/5 - y**4 - 10. Factor k(r).\nAnswer: -2*r**3*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.4 - -2.4. What is the smallest value in l, -1\/3, -1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -2*b**3 - 990. Let g(l) = -8*l**2 + 1. Calculate x(g(a)).\nAnswer: -384*a**4 + 96*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122 + -424?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gng when three letters picked without replacement from {n: 2, t: 1, g: 11}.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -27. Let l be (-2)\/(-3) + k\/(-3). Let n be ((-3)\/9)\/((-4)\/24). Sort l, 1, n in ascending order.\nAnswer: l, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 1776.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3\/5 (c) -0.3 (d) 4\/809\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 1 + 1 + (2*v + 5*v - 5*v)*(9*v - 3*v - 2*v) + 4*v**2 - 3*v**2 - 3*v**2 - 16*v**2 - 8*v**2 - 23*v**2 in the form h*v + o + z*v**2 and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*t + 124, 142 = 6*f - f + 4*t. Let r = f + -19. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q + q)*(-4 + 3 - 1) - q - 2*q + 6*q - 4 - 50*q + 18*q + 3.\nAnswer: -27*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 489412576 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {i: 7, f: 2, v: 1, w: 5, c: 3}.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 + 392*n + 4898. Give t(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3 + 5*k + k**2 + 3*k - 1. Determine b(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-26))\/((-1872)\/(-12168))*(-2)\/(-218).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -171 * 1.06\nAnswer: -181.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/36*-2*(-12)\/(-20)*-2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 914210*y - 2742648.\nAnswer: 2*(y - 3)*(y + 457108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17374 - -34052. What is the lowest common multiple of o and 3?\nAnswer: 50034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71034214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3. Let g = -398596633\/2309032 + -2\/288629. Let w = g + 173. Which is the nearest to v? (a) -0.1 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 z when four letters picked without replacement from deddeeeezeeedeeded?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17) - (1 + sqrt(68)) - (sqrt(272)*-2 + sqrt(17) + sqrt(17)))**2.\nAnswer: -10*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**7\/180 + i**6\/360 - i**5\/120 + i**4\/6 - 11*i**2. Let n(p) be the second derivative of z(p). Determine n(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5953932.\nAnswer: 2, 3, 29, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45062.8346 - -37245.\nAnswer: 82307.8346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714241620 less than -1.4?\nAnswer: -1714241621.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/70 and 121\/161130.\nAnswer: 1127910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12759792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ba028 (base 12) in base 6?\nAnswer: 125132052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 273*l. Let k(u) = -834328*u**2. Calculate p(k(g)).\nAnswer: -227771544*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 493201 - 238201. What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 5 (b) 0.2 (c) 235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-2)\/1) + 15. Let r be (9\/x)\/((-2)\/5). Suppose 4*g - 26 = 2*w, -w = 4*w + 15. Put g, r, -5 in increasing order.\nAnswer: -5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*k*u**2 + 104*k + 2*u**2 wrt u?\nAnswer: -34*k*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a6016 + 4?\nAnswer: -a6012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:09 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 13*v + 3. Suppose 2*r + 2 = 0, 0 = m - 2*m - 3*r - 17. Let q be j(m). Which is bigger: -9 or q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 605583031582.\nAnswer: 605583031583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 7155, -1.4, 85?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0374 and 9?\nAnswer: -0.3366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 900 - 274. Suppose -6*g = m - 1772. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000062192 rounded to six decimal places?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 - s. Let d be -1*(2 - (-6)\/(-2)). What is the units digit of f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 15387560*x**2 - 14798578059648*x - 29597094569088.\nAnswer: -4*(x + 2)*(x + 1923444)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-51*w + 2 - 15*w + 149*w) + 4*w + 0*w - w.\nAnswer: -80*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7825771l?\nAnswer: 782.5771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -9?\nAnswer: 41\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/(m*m\/(m\/(m*m**(-3\/2)*m)*m)*m)))*m*m))**(-5\/7) assuming m is positive.\nAnswer: m**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(27)\/sqrt(36)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Let r(j) = -119*j + 266. Let a(n) = 10*n - 22. Let g(b) = -35*a(b) - 3*r(b). Calculate u(g(l)).\nAnswer: -49*l**2 + 392*l - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31401953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 4580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/35809574 or 0?\nAnswer: -3\/35809574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7294 = -4*d + 7317, -12*d + 104 = -4*f for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2533, 5296, 8059, 10822?\n\"Answer: 2763*x - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20660768 is divided by 56.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by -2.\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/4)\/c)**(-36)\/((c\/c**(-3))\/c*c**(-2\/9)))\/((c**0)**20\/(c**(2\/7)*((c**1*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(410\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p + 2. Suppose -i + 3380 = -p*h + 6*h, -20 = 4*h. What is i rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5265 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:19 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 250067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18680061.\nAnswer: 3, 6226687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/175)\/((-110)\/(-55))*-30?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + (8 - 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2474, 2477, 2480, 2483, 2486, 2489?\n\"Answer: 3*c + 2471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/9)*z*z))**(-12) assuming z is positive.\nAnswer: z**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/((-150)\/10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-32)*-10*(-2)\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*13\/((-702)\/(-783))*-2\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -34939*c - 628892. What is j(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2205\/1260)\/(1 + -8)*1*164\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 2*i**3\/3 + 6*i**2 - i + 10. Let n be y(-3). Solve 3*a - 8*a = -5, n = -5*o - a + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2134 (base 5) to base 11\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y + 35*y - 73*y = -20436. Solve y*i = 5102*i - 56 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -54*d**2. Let y(z) = 6*z**2 + 10. Let q(l) = l**2 + 2. Let m(s) = -5*q(s) + y(s). What is m(r(f))?\nAnswer: 2916*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - ((3 - 3) + -3))\/2. Put 3, 22, j, -2 in decreasing order.\nAnswer: 22, j, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3176 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 118*h - 18*h + 12*h in the form l*h**2 + y + p*h and give p.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -23. Suppose -c = c + g. Let j = c + 34. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 4 (b) -1 (c) -548017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/6*-2)\/1*2. Solve -k + 0*a + 5 = -3*a, -4*k + 20 = x*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) 1\/4 (c) 0 (d) 500 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a + 33 = 0. Suppose -4*s - 219 = -3*n, 0 = 24*n - 25*n + 4*s + 89. What is the smallest common multiple of n and a?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 12*f**2 - 11*f - 15. Let u be j(13). Let o = -34 + 122. What is the greatest common factor of o and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 15 - (0 - (0 - -3))) + -16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b = 0. Suppose b*w + 4*w = 28. Let y(o) = -2*o - w + 3*o - 3*o. Determine y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912064*-37.1.\nAnswer: -33837574.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose -2*s + 5*p + 9 - 42 = j, 4*s - p + 21 = 0. Let n(a) = 2*a + 3. Let z = -18 - -25. Let w(v) = 3*v + 5. Determine s*w(i) + z*n(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-4)\/4)\/((-855)\/(-57))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 - -4 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d**(-5))\/((d\/(d\/(d*d\/(d**10*d)*d)*d)*d)\/((d*d*d*d**(-3\/7))\/d)) assuming d is positive.\nAnswer: d**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (7\/21)\/((-6)\/(-24)*2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -164655100 to the nearest 1000000.\nAnswer: -165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*q - 300*q - 33*q.\nAnswer: -471*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12236724 divided by -210978?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) -4947 (c) 3\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -290, -305?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*d**3 + 10\/3*d + 8\/3*d**2 + 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 924 and 51451932?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 48*a + 743. What is c(27)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50345396*g**5 - 2*g**2 - 4*g - 1037234 wrt g.\nAnswer: -3020723760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 8 = -7*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2631244549 to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66729347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 117*x**2 - 54*x + 239. Determine p(-58).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*u + 12502 - 4877 - 935 = -11210 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/((-26)\/(-10) + -3). Let b be 1\/(-3) - 130\/d. Suppose -5*c = -690*h + 695*h - 150, 0 = 5*h + c - 158. Solve l + 3*i + h = -3*l, 24 = -b*l - i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2. Let s(h) = h - 22. Let p(v) = -22*b(v) + 2*s(v). Let a(d) = 3*d + d + d + 6*d. Calculate a(p(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1641 - 1528 + 1882)*(-4*r**4 + r**4 + 2*r**4) + (0*r**3 + 5*r**3 - 2*r**3)*(2*r - 2 + 2) in the form v*r**3 + l*r**2 + y + m*r**4 + x*r and give m.\nAnswer: -1989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5558903 and 3283.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 6182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-14) - 9658\/(-154)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2\/4 - 575*o\/2 - 66125\/4 = 0 for o.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/888*-185)\/(2\/6).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (74 + 58 + -166)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 1341895 = -4*z, z - 30*p + 27*p = 335488. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 378981.9 and -0.03.\nAnswer: -11369.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(881\/9 + 4\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.26 - -2.86. Let u = d + -6.3. Let z = u + 3.700068. What is z rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 2. Let h be o(2). Let n = -10 - h. Let z = -50 + 49. Put n, z, 5 in ascending order.\nAnswer: n, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 + 3. Suppose -5*u - 12 = -h + 2*h, -u = -h. Let c(z) = -z**2 - 4*z - 2. Let o be c(u). Calculate t(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 88 + 3 + 1 + -2. Let w be (-1*9)\/((-2)\/k). Suppose -4*g + w = g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305170*p**2 + 305170*p**2 + 5*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**3 - 87*p**2 - 24*p + 7. Let z be c(18). Let f = 553 - z. Factor -f*d - 1\/2*d**2 - 18.\nAnswer: -(d + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*v**4 + 233 - 233 + (2*v + 1 - 1)*(v - 2*v + 2*v)*(v**2 - 472*v + 472*v).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -k - 39, j = 4*k + 11 + 13. Suppose 11*t = j*t - 10. What is the remainder when 29 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4308, 4259, 4210, 4161, 4112, 4063?\n\"Answer: -49*i + 4357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(-17)*a)\/a)\/a*a)\/a*a**(-21)\/a)\/(a\/(a\/(a\/(a*a\/a**13*a)))*a*a\/(a**4*a)))**9 assuming a is positive.\nAnswer: a**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 10 = 0. Suppose -5*u + 27 = -5*o - 113, 0 = 4*o. Let d = u - 13. Solve -5 = z*n + d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 - 3*l + 4. Let k(b) = 5*b - 36. Let x be k(8). Let j(v) = -4*v**2 + 3*v - 3. Calculate x*j(p) + 3*q(p).\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1161, 1\/4, 1?\nAnswer: -1161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*o + 17*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*z**2 - 93*z - 79*z - 68*z**2 + 171*z in the form g*z + q + t*z**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuunenq. Give prob of sequence une.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + w**5 - 10*w + w**4 - 3*w**3 + 6*w + 2*w.\nAnswer: w*(w - 2)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezz when three letters picked without replacement from {z: 5, e: 5, g: 2, a: 7}?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 3)*(-3*h + h - 4*h) + (-67 - 64 - 119)*(2 - 2*h - 2))*(0*h + 0*h + 2*h).\nAnswer: 1036*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8296 is divided by 1704?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 139, -5, 0.5, 5\/6, -17, -3\/4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + 0*(-5)\/(-25). Suppose -k - 5*v = -44, v - q = -k + 3*v. Find the second derivative of -23*y + 0*y + 0*y - k*y**4 - 9*y wrt y.\nAnswer: -228*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1590 - 1588. Solve -6*r + 5*r = 2*p + 2, -4*r - 14 = w*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/243? (a) 6\/47 (b) -6\/5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -36\/19*h**2 + 14\/19*h + 10\/19*h**3 + 12\/19 = 0.\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5869094169.\nAnswer: 3, 1956364723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 19*z**2 - 2556*z + 5028. What is o(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 - 206 + 413 - 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4980*w**3 + 19760*w - 326692054 wrt w.\nAnswer: -14940*w**2 + 19760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68733098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1\/2, 12.0586, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 + 45 = 151*q - 158. Which is the closest to 0.2? (a) q (b) -13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1168784*q**2 + 1242632?\nAnswer: 2337568*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837159271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39700 = -36*q - 14032. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from {j: 4, z: 2, u: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 34934185?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 659007*z**3 - 8589*z wrt z?\nAnswer: 3954042*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 10*s**3 + 3*s**2 + 0*s**2 + 6*s**2 - 3*s + 2 - 10*s**2. What is m(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 408791*r**2 + 243*r + 161580067?\nAnswer: 817582*r + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1597.05044 + 1597. Round k to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k. Let b(t) = -40*t**2 + 3368. Determine b(l(f)).\nAnswer: -2560*f**2 + 3368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/(11\/(-418)). Let j = 31 + c. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 675929, 675904, 675873, 675836, 675793, 675744, 675689?\nAnswer: 675628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*a + 5*h, -3*h = -3*a - 0*a + 3. Is (-2 + -380)\/(-6 - a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/15 - 14\/(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 255, 305 in decreasing order.\nAnswer: 305, 255, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009169876495 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 14 + 125 + -161 - -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 945439\/299 + -3162. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-12) - 4\/(-24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 66. Let d be y(0). Suppose 3*m - d = 2*w, 4*w + 77 = 4*m + 5*w. Solve -4*k = 3*v - 0*v + 28, 0 = -5*k - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(304) - sqrt(57)\/(sqrt(3)*2).\nAnswer: -4 + 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -123?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2651904892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**6\/360 - d**4\/8 - d**3 + 6*d. Let o(g) be the second derivative of n(g). Let t be o(3). Is -13 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 130*l**2. Let w(g) = -6*g**2. Give v(w(f)).\nAnswer: 4680*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568 = -4*b + 2*b. Let u = -175 + b. Is u + -4 + -3 + 3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-21)*28\/(-10). Put 5, b, -1, 0 in descending order.\nAnswer: 5, b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0 + (15 + 2 + 0)*(-4 + 0 + 6))*(y - y + y**3 + (y**2 - y**2 + y**3)*(2 - 2 + 2) - y**2 + y**2 + 4*y**3)*(0 + 0 - y**2).\nAnswer: -252*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4\/3 (b) -0.0483 (c) -169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64\/3? (a) -4\/7 (b) -1161.1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*b**2 + 110*b + 4.\nAnswer: 2*(b + 2)*(27*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17752124 take away -9139?\nAnswer: -17742985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15407244 divided by -4\nAnswer: 3851811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 95 = 3*h. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 4.7. Let r = -104\/667 - -2\/29. Which is the second smallest value? (a) l (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1\/2, -1950, 3, -0.5.\nAnswer: -1950, -2\/3, -0.5, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 18*c = 14*c - 35, 0 = 2*a - 3*c - 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/1*(-5)\/2. Let x = 5 - m. Find the second derivative of 2*a + x*a + a**2 - a + 0*a**2 wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - 0) - (-5 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p + 6 = 0. Suppose 4*y + p = 2*w, -2*y - 10 - 2 = -4*w. Let i(f) = -f**3 - f**2 + f + 6. Calculate i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-96))\/(1\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y + 6 = 0. Let q be -2 - (-1)\/((-1)\/y). Let a(u) = 16 - 7 - u + q*u. Determine a(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Suppose 0 = n*d + 3*d. Let k = 43 + -31. Solve -3*g - k = -d*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7433 or 7432?\nAnswer: 7432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -63. Let g = j - 5.9. What is the nearest to 6 in -0.4, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49465646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15656 = -2524*k + 9580 + 2825 + 4751 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5137488372?\nAnswer: 2, 3, 139, 3080029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q**2 - 7627*q - 18046. Give o(-951).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-37913)\/18848 + ((-21)\/(-19) - 1) and 101\/836.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164956 by -120.\nAnswer: -41239\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3551 - 3551. Solve 3 = -3*m + 9, -w + 4*m - 6 = t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (4 - 2))\/2. Let a be (-168)\/(-83) + (-5 - -3). Let b = a + -172\/249. Is b smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 7*w + 3*w - 4 = 0, k - 16 = -4*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/18 and 37\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o + 26 - 26)*(1 - 4 + 4) - 18590*o + 8537*o + 9028*o to d + h*o and give h.\nAnswer: -1031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*p**3 - 15*p**3 + 16*p**3 + 2*p**3 - 2 in the form d + z*p**3 + r*p + i*p**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 128367142 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-u + u + 2*u)*(5*u - 2*u - 2*u) - 3*u**2 + 5*u**2 - u**2 + 1 + u**2 - 1)*(3*u + u + 3*u)*(0 - 1 + 0) to v + f*u + r*u**3 + c*u**2 and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6471282?\nAnswer: 2, 3, 251, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 22521*h + 2860176. Give z(-127).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 8*f - 3*f - 113.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4 + 3*f**3 + 5*f**2 - 5 + 5*f**2 - 4*f**3 - 10*f. Is y(8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -5, 2, 23, 64, 131, 230?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56213, -56214, -56215?\nAnswer: -56216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 2*a - a**3 - 2 + 0 - a**3 to the form n*a**3 + g + j*a + x*a**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t**2 + 10*t + 9. Let u(f) = -7*f**2 - 7*f - 6. Determine -5*l(b) - 7*u(b).\nAnswer: -b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491 = 3*b - 28*q - 874, -q = 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6, -218 + 260 = 3*v + 2*i. Solve -5*s + 2*k - 6 = 0, 3*s + 15*k - 9 = v*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10103 + -11?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 238 - -118?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-8)\/((-32)\/18). What is the third smallest value in -4\/3, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + -1 + (4 + (-2*(sqrt(1008) + 1) - (-2 + 1 + sqrt(1008))) + -3)**2.\nAnswer: 9071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + 135 + (-1 - 39) + (2 - -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 43*c**2 + 413*c - 828. Calculate d(2).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2352588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 12:40 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -4312, -3, 7, 14?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 60 = 4*g. Let s be (-192)\/14 - (-4)\/(-14). Calculate the remainder when g is divided by (-52)\/s + 4\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 61. Which is the smallest value? (a) k (b) -2\/3 (c) 0.3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -144248996828.\nAnswer: -144248996831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 14 = 69. What is the highest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-800)\/80)\/((-39)\/429)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(3*s**3 - 6*s - 2*s - 4*s**3) to n*s**3 + q*s**2 + x + p*s and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/314 - 53729\/2198. Is w less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 5.7, -1\/3, -3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x**3 - x**2 + 7*x + 7. Let r(t) = 6*t**3 - t**2 + 4*t + 4. Let w = 13 - 6. Let l(h) = w*r(h) - 4*y(h). What is the third derivative of l(a) wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5 = 0, 30 = 4*p + 9*y - 7*y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -385.4 + 385. Let m = -153.3 + 143. Let q = m - -10. What is the nearest to 0 in 1\/2, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16372203.5 to the nearest ten thousand.\nAnswer: -16370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/2)\/(6\/12) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(((-1848)\/(-36))\/(-22)))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 1604108876.34.\nAnswer: 1604108876.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5624 = -2*w, 0*w - 1428 = -x - 5*w. Is 105 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-3) + 4*(-16627)\/(-156) is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 174 = 2*l - 205, 102*l = -2*m + 99*l - 38 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 338.9 times 3\nAnswer: 1016.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28 - 6 + 24 - 12 + 34*i**3 with respect to i.\nAnswer: 102*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 - 3*c - c**2 - 2*c**3 + c**2 - 2. Suppose 239 = 3*v + 44. Let y = 63 - v. Calculate p(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6337925 divided by 5.\nAnswer: 1267585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-2*sqrt(12)) + sqrt(567)\/sqrt(9).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 42, 67, 114, 189, 298, 447, 642?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 141249288 and -441873?\nAnswer: 141691161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 6, k: 4}. What is prob of picking 1 k and 1 n?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0.200222893?\nAnswer: -1.799777107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 12:31 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 2*p. Let x be a(-1). Which is bigger: x or -1.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n - 16*n - 50*n - 2 + n with respect to n.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7934645 micrometers to nanometers.\nAnswer: 793.4645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 12*q + 31. Let m be x(14). Suppose -3*l + m*b = 36006, b + 59996 = -5*l - b. Round l to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019950903 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4328 + -147.5672. Let j = 249789588 - 249789440.0000365. Let m = o + j. Round m to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136390063.\nAnswer: 313, 435751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*c - 74*c - 24 = 2*d, d = c + 6 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1426*p**2 + 12872*p - 14. What is o(-9)?\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from xijju.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghtptghhsiii. What is prob of sequence gshg?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3360\/2160*1131\/182?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 6:10 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -11 + 9. Solve 0 = -3*d + 4 + p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 30*x + 4. Let c be r(5). Suppose -117*t - 3 + 87 = -105*t. Calculate the greatest common factor of c and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -841.72 - -830.72. Let r = -0.3 + 0.1. What is the closest to 0.1 in j, -0.3, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:28 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10164 and -0.040564?\nAnswer: 412.292496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1579, 6740, 15403, 27616, 43427?\n\"Answer: 8*l**3 + 1703*l**2 - 4*l - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 988\/37?\nAnswer: 988\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 10 = 7*b, -3*b + 4*f = 2*f + 263 - 267 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 222247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2429*t = -2415*t - 140 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 123370*p + 761007845.\nAnswer: 5*(p + 12337)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73773903 and 19665?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8284 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-185) - 24\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6932 - 0.1932. Let z = -15 - -16.5. Let y = z - 5.5. Which is the fourth smallest value? (a) s (b) -0.2 (c) -0.4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3917.4 rounded to the nearest ten?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6 and 67\/2643?\nAnswer: 5286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**3 + 295*n**2 + 563*n + 396. What is w(44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 788877599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 7*o**4\/24 - o**3\/3 + o**2. Let b(u) be the second derivative of u**3 - u**2 - u. Let l = 2 - 6. Calculate l*r(v) + 5*b(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, -6, -94, -110, -42, 122, 394?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (561\/85)\/(-33)*(-25)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 725034.\nAnswer: -15\/241678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (635\/10 - 2) + 1\/2. Solve -g*v = -64*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 12:40 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 350155 divided by 5\nAnswer: 70031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 29 - (77993\/5796 + 20\/(-45))?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20187 divided by 23\nAnswer: 20187\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 12) to base 11\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -167, -187, -203, -215, -223, -227, -227?\n\"Answer: 2*k**2 - 26*k - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3145*d**4\/6 + 90*d**3 + 3385*d**2\/2 + 3055*d\/3 - 60 = 0. What is d?\nAnswer: -1, 2\/37, 36\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -98.6?\nAnswer: 103.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 23*w - 27. Let q be s(12). Let d = q + 61. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40*(-63)\/(-21))\/(11\/(-187)*-17).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279369?\nAnswer: 3, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mggngnnngnggxmggnmn. Give prob of sequence xxm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/(15\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -7, -12, -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723390250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 + 15 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -48*g + 47. Let n be h(1). Let z = 1\/16 + 11\/80. Which is the nearest to 2? (a) n (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-14) - 0)*-10. Solve -2*j - 13 = l*o + j, -o + 11 = 4*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 10\/13, -0.5, -212, -5, -0.4?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -19. Put -8, -2\/5, n in descending order.\nAnswer: n, -2\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*l**3 + 46*l - 74 + 74 wrt l.\nAnswer: -204*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 8*p + 7. Let n be t(6). Let j(a) = 3*a + 7. Let r(i) = 1. Let g(u) = -j(u) + r(u). Calculate g(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 1 + 1)*(j - 2*j - 9*j)*(-1 + 1 + 2*j).\nAnswer: 20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3706 - -3706. Which is the biggest value? (a) 17 (b) -0.1 (c) o (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 28*r**3\/3 + 2*r - 52. Let s(a) = 2*a**2 + 4*a. Give k(s(p)).\nAnswer: 112*p**2 + 224*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-10)*8 - (-3661)\/7. Calculate the greatest common divisor of r and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1368882 by -6.\nAnswer: -228147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjqm when four letters picked without replacement from qmqqj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 0, 2, 30, -29.\nAnswer: -29, -5, 0, 1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-462)*-14*-6. Let c(g) = 2 - 2 - 2*g + g**2 - 4. Let v be c(-4). Solve -5*h - r*y + v = -11, -4*y + 22 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -293.1, -15\/4, 0.029, -3 in decreasing order.\nAnswer: 0.029, -3, -15\/4, -293.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Let l = 40 + -29. What is the lowest common multiple of 10\/(-15) - (-8)\/c and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 8*s**2 + 2*s - 10. Let t be u(8). Let c = 2 - t. Let q = 8 + c. Solve -2*p + q = -6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plzlplzlp. Give prob of sequence lplz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*r**2*s**3 - 2*r**2*s**2*t**2 - r*s**3 + r*s**2*t + 3*r*t + 5*t**2 wrt r.\nAnswer: 114*s**3 - 4*s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587, -1041, -1475, -1889, -2283?\nAnswer: -2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 14)\/((-1)\/((-4)\/(-8))) + (-1206)\/(-612).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 12. Let l be f(-10). Suppose -135 = -l*b - b. Is b\/(-6)*(-2)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17334?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**2 + 3*w**3 - 127*w - 18*w**3 + 15*w**3 - 252*w**4 - 373*w wrt w?\nAnswer: -3024*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.446952 rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 17*v**2 + 4. Let i be g(17). Find the second derivative of 2*r - i + 1740*r**3 + 4 - 1758*r**3 wrt r.\nAnswer: -108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4305 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 529\/17 + -31. What is the closest to 0 in p, 47, -13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17070 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -423 divided by -256973\nAnswer: 423\/256973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**6\/180 - 87*p**3\/2 - 121*p. Let u(v) be the second derivative of c(v). Let a(t) = -11*t**2. Determine u(a(m)).\nAnswer: -242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17 - -9) + 11 - 3) + 40 + -3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607760509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 5*p - 4. Suppose 3*b = -4*j - 57 + 21, j - 2*b - 2 = 0. Let g be c(j). Let n be (g + 2)\/2 - 0. Solve n*z = -z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(500) + -3)**2 + 5*sqrt(500)*1 + 3.\nAnswer: 10*sqrt(5) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t**3 + 1036*t**2 - 1641*t + 57111. What is q(114)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352936830 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40047 - 766?\nAnswer: -40824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 5586*y**2 + 16737*y + 11154.\nAnswer: 3*(y + 1)*(y + 2)*(y + 1859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(-2 + (-1*sqrt(68) - sqrt(68)) + -3 - (-2 + 1 + sqrt(68) + -5 + sqrt(68)))**2.\nAnswer: -48*sqrt(17) + 3265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328187.9 nanograms in kilograms?\nAnswer: 0.0000003281879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 76923646?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1368 and -37\/18.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000469 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339890, 679659, 1019432, 1359209, 1698990, 2038775?\nAnswer: 2378564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-848 - -2)\/6. Let k = p - 141. Solve 11 = -j + 2*i + 5, k = 3*i - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 4:41 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 22*m - 4642 = q, -1156 = -m - 2*q. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 45 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e8 + 220a?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.2529324574 rounded to two dps?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 58868099 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**0))\/p)**(-41)\/(p\/(p**(-1)\/p)*p)**(-50) assuming p is positive.\nAnswer: p**241","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2. Let x(c) = 128*c**2 + 3*c + 6. Let g(a) = 1025*a**2 + 25*a + 50. Let v(f) = 3*g(f) - 25*x(f). Give y(v(m)).\nAnswer: -31250*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -0.0805?\nAnswer: 0.4195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48124 and 5.\nAnswer: 240620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*w**6 + 3*w**5 + 4*w**3 - 7*w**2 - 76 wrt w.\nAnswer: -2760*w**3 + 180*w**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359 = -41*v - 523 - 102 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 4*j - 17. List the prime factors of z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p = 0. What is the smallest common multiple of 3 and p\/(-3) - (-5)\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5666769067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by (-345)\/(-46)*24\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 243, 1144.\nAnswer: 5, 243, 1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -322\/653, -10, 2\/15 in increasing order.\nAnswer: -10, -322\/653, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1011? (a) 2\/33 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2458 = 8*m + 58*m + 75*m + 1490 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-18))\/(16\/(64\/(-4)))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8899628 micrometers to centimeters.\nAnswer: 0.00008899628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.4872ml in litres?\nAnswer: 0.8524872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 16, 15\/2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5481180 divided by -2469.\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -18*n**2 - 12*n + 6. Let r(d) = -d**2 - d. Let s(l) = -f(l) + 15*r(l). Factor s(u).\nAnswer: 3*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:15 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {t: 3, q: 3, x: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 6*i - 1. Suppose -375 - 30 = 9*y. Let p = -39 - y. What is q(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 12*a = -7*a - 33, -5*a + 38 = -3*s. Are s and -2126\/21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two fifths of a hour?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 968858 (base 10) to base 16\nAnswer: ec89a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 8*c**2 - 15*c + 7. Give k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 2439?\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boiiiosqrqs. What is prob of sequence rq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152)*1*1)\/(sqrt(128)*1*5).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + 0 + sqrt(300)*3*6 + -1 + 4 + sqrt(300) + 3 + sqrt(300) + sqrt(300)))**2.\nAnswer: 52500*sqrt(3) + 3308125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202576 and 44144.\nAnswer: 558907184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x - 22. Let o be p(11). Is (7 - 6) + 1*o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 671 in -4\/3, -1, -7925?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90362.2ms in nanoseconds?\nAnswer: 90362200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -41.395933.\nAnswer: -44.395933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 53*r - 48*r)*(r**2 + 3*r**2 + r**2).\nAnswer: -485*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 716*i - 4280. Calculate s(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302 - 233?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, -2\/5, -5.8 in ascending order.\nAnswer: -5.8, -2\/5, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m*((m\/(m*m*m**5*m))\/m*m)\/m)\/(m\/(m**(-1\/5)*m)*m*(m*m**(-6))\/m))\/((m**(-1)*m)**38\/(m**0\/m)**(-49)) assuming m is positive.\nAnswer: m**(239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 39, 84, 165, 294, 483?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, -2\/5, -20007?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 378651 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 14. Let q be g(8). Let u be 27\/q - (-12)\/(-8). Suppose -a - u*a = -12. What is the least common multiple of 11 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 114 = 5*p. Suppose 2*g + 3 = 3*g. Suppose -g*z + p = -z. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 2*u - 1008*u**2 + 499*u**2 + 1 + u**3 - 2*u**4 + 490*u**2 in the form n*u**2 + g*u + d*u**4 + x + s*u**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -3. Suppose n - 3*y - 190 = 0, 0 = -f*n - 4*y - 290 + 899. Let b = -110 + n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/300*g**6 + 4*g**2 + 0*g + 0*g**3 - 1\/840*g**8 + 2\/525*g**7 + 0*g**5 + 0*g**4 + 0. Factor x(b).\nAnswer: -2*b**3*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000128159 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x - 6. Let g(m) = 8*m + 3. Let d(h) = -4*a(h) - 7*g(h). Suppose 4*i = 1156 + 436. Suppose i*o - 409*o = -66. Determine d(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/17, 2\/15, 34, 2 in ascending order.\nAnswer: 1\/17, 2\/15, 0.5, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 5627.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 419460 from -60.67.\nAnswer: -419520.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -654, -663, -686, -729, -798, -899, -1038?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12491665 is divided by 48230?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*w + 8, 2*w + 6*h = 3*h - 12. Suppose 5*z = -w + 20. Suppose c = -g - c + 15, -g - z*c + 19 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6412 and 93\/108368?\nAnswer: 173713904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*2*2)\/sqrt(6)*-6)\/((-4*sqrt(192))\/(sqrt(3) - sqrt(75)*1)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.3, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*q - 203 + 407 - 204.\nAnswer: -128*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*m**6 + 605760*m**4 + 37844184*m**2?\nAnswer: -4560*m**3 + 14538240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 619114, 1238235, 1857358, 2476483, 3095610, 3714739?\n\"Answer: s**2 + 619118*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4\/5*v**3 + 12\/5*v**2 + 0*v - 16\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + g**2 - 5. Suppose 2 = 2*a - 4. Let y(b) = 4 + 6*b**3 - 18*b**3 + 13*b**3. Let l = 1 + 1. What is a*y(o) + l*h(o)?\nAnswer: -o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76 + 1238520?\nAnswer: 1238455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9274, -73507, -247830, -587287, -1146922, -1981779, -3146902?\n\"Answer: -9174*l**3 - l**2 - 12*l - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 17892?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13969*h**6 - 16788*h**2 - 2*h?\nAnswer: 1676280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -20*r - 10. Suppose -9 = 3*i - g - 2, 2*g = -i. Let y be i\/19 - 354\/(-114). Let x(j) = 7*j + 3. Determine y*z(s) + 10*x(s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112 is divided by 223?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 657.\nAnswer: -45.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 9. Let w = -13 - g. Let r(t) = 2*t + 1. Let n(o) be the first derivative of o**2 + o - 1. Determine w*r(d) + 6*n(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*y = 3*y + 45, -5*h - 2*y + 60 = 0. Suppose 6*p + 106 = h. Round p to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*z = -422*z - 14 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v - 6. Let t be y(2). What is the first derivative of 17 - 41 + 12 + 11*n**t wrt n?\nAnswer: 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/50 and 57\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 51*k - 2. Suppose 5*v - 1 = -2*p, -5*p + 2*v - 4*v = 50. Let r = 13 + p. Is z(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -236, 0, -1, 4, -5 in descending order.\nAnswer: 4, 0, -1, -5, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1250, 2503, 3756?\n\"Answer: 1253*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*k + 2*h - 10, 0 = 5*k + 2*h + 5. Let c be -3 + 27 + 2 - k. Solve 0 = -2*f - 0*w + 3*w - 10, -5*f + w - c = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111002221 - -1?\nAnswer: 111002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 6*p. Let r be d(9). Let w = 3 + r. Calculate the greatest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/35 and 65\/6468?\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79916564 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 + 12\/(-36). Sort c, 3, 5 in decreasing order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 17 - 26. Let o(c) = -53*c - 125. What is the smallest common multiple of 6 and o(r)?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 851004 divided by -2772.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 905*j*m - 2573*m with respect to j.\nAnswer: 905*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oqjxesoj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 2, -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*v**2 + 0*v**2 + 18*v**2 + 16*v**2 + 87*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 3*m + m + (6 + 4 - 2)*(4*m - 4*m + m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - 10 - 54*i - 4*i**3 - 57*i + 12 + 28*i - 6*i**2 as n*i**2 + g*i + c*i**3 + b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -10 + 4 - (-1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 102397953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1160\/(-161240))\/((-21)\/(-14))\nAnswer: -2\/417","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4937.972 to the nearest integer.\nAnswer: -4938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 150459 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/1895 < -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 3 + 5 - 1 + 1. Let x be f(4). Let l = x - 4. Solve l = -4*k + 8, -3*k = 5*o + 16 - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = g + 5, -2*r + 1 = -4*g + 3. Suppose m + 5*m = g. Let y be 15\/(-3)*(m - 1). Solve -s - 5*x - y = 0, 3*x = s + 4*x + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/17)\/y**(-2))\/(y**(-2)*y*(y*y\/(y\/(y*y\/y**(-2)))*y)\/y) assuming y is positive.\nAnswer: y**(-32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 702535964, 702535962, 702535960?\n\"Answer: -2*h + 702535966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104317 + -60016. List the prime factors of o.\nAnswer: 3, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 1, -2406, -6, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1671196308 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-6))\/(8\/(96\/(-30))). Let z(n) be the second derivative of 1\/60*n**4 + 0 - t*n**3 + 0*n**2 + 3*n. Suppose z(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-3 + (16 - (-4 + 8))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*m = -172*m - 132*m + 21053. Let s(f) = f**3 - 6*f**2 + 4*f - 5. What is the remainder when s(7) is divided by m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 5122.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**2 - 26*m - 14*m + 39*m + 26*m**2 - 31*m.\nAnswer: 3*m**2 - 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 - 3*v**2 + 3*v - 10. Let b(r) = 7*r**3 - 5*r**2 + 5*r - 19. Let l(n) = 3*b(n) - 5*i(n). Differentiate l(o) with respect to o.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2070*j**4 - 2023?\nAnswer: 8280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*j - 1480 - 2760 = 198*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55\/3 + 19. What is the smallest value in h, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + t**2 - 1. Let c(o) = 58 - 6*o**3 + 7*o - 6*o**2 - 48 + 6*o**2. Let j(u) = c(u) + 5*y(u). Is j(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - -1. Let k = 2 - y. Which is the second smallest value? (a) -0.4 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/25*6735\/9429?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 234607410 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*p + 142*p - p**2 - 167*p as c*p + w*p**2 + k and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7) + 10\/(-22 - -12)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143\/4 - 36. Let l be 0 + 1 - (-6)\/(-9). Let g = 11 - 7. Which is the closest to o? (a) 2 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 380, 296, 214?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 7 = -2*i, 2*i - 4*w - 2 = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a. Let j be l(-1). Suppose -3 = 2*c + j*n, 0*n - 42 = -2*c + 4*n. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 965, 7761, 26203, 62111, 121305, 209605?\n\"Answer: 970*t**3 + 3*t**2 - 3*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - u - 2. Let f(x) = x + 1. Calculate 2*f(z) + o(z).\nAnswer: 4*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 260 and -26047.\nAnswer: -25787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264178 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -25297 <= -25334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 9*a)*(35 - 23 + 32) + (-3 + 2 + 0 + (2 + 2 - 5)*(-6 + 3 + 1))*(-a - a + 0*a).\nAnswer: 262*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 + 20*v**3\/3 + 14*v**2\/3 - 12*v.\nAnswer: 2*v*(v - 1)*(v + 2)*(v + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 163908, -1, -125 in descending order.\nAnswer: 163908, -1, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 22348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1109*m**4 - 2*m - 1231?\nAnswer: -13308*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13405132 to the nearest integer?\nAnswer: 3661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367.507g in kilograms?\nAnswer: 3.367507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669859 is divided by 94?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(-2*sqrt(72) + sqrt(72))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 12*a - j - 4 = 0, -3*a - 4*j - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + i = 6, -4*k + 0*k = 3*i - 20. Suppose -o - k*z + 121 = 0, 2*z - 169 - 69 = -2*o. Is o a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.4 + 4.306. Let p = -5.094 - w. Let k = -7.95 + 8. Put k, 1\/8, 2\/13, p in descending order.\nAnswer: 2\/13, 1\/8, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*k**2\/4 + 9397*k\/4 - 81.\nAnswer: -(k - 324)*(29*k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529 is divided by 181.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1\/3 (b) 1\/9 (c) -0.16 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 5*q**2 + 1. Let x be 3\/6*-6 - -8. Let p be f(x). Let b be ((-2)\/28)\/((-4)\/16). Which is bigger: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/6)\/((-64)\/96)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93191980?\nAnswer: 2, 5, 7, 193, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25858.\nAnswer: 2, 7, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -2*s - 1279997\/6*s**3 + 15\/2*s**2 + 0. Let x be l(-5). Round x to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208064936*k**3*v**2 + 18075*k**2 - 390*v**2 wrt k.\nAnswer: 1248389616*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-1\/11)*v**(-1\/5)\/v**(1\/4) assuming v is positive.\nAnswer: v**(-119\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/(-30))\/(700\/(-5250)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 4, s: 2, c: 2, n: 2}. Give prob of picking 1 c and 1 w.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-36\/7)\/(m**3*m**(-2\/19)\/m)*(m**(1\/3))**(-10\/3)*(m**(-2))**(-38) assuming m is positive.\nAnswer: m**(81218\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2))*-4 + 5*sqrt(18))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -56 + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 109 = -176*f + 203*f. Sort 0, -1, 178, f in increasing order.\nAnswer: f, -1, 0, 178","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121126*u**3 + 1 + 5*u + 3*u**2 - 121125*u**3 - 6*u**2 to the form c*u**2 + j*u**3 + d + s*u and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Sort -31, -2, 1 in decreasing order.\nAnswer: 1, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-598104)*-71*54?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2969422*b - 559407.\nAnswer: -2969422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10330420 (base 5) to base 14\nAnswer: -2487b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.5, -1\/3, 6\/7, -0.1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -199, -6, 5 in descending order.\nAnswer: 7, 5, -4, -6, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*f - 9 = 0, 4*l + 25 = -16*f - 23 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6.3. What is the nearest to 1\/7 in -0.1, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/((sqrt(5) + sqrt(10)\/sqrt(2))*1))\/((2*sqrt(864))\/sqrt(12)).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 7*a - 10*a = 13, -a - 15 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 4721298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/236892345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -387 - -1300. Is 912 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -302 - -301.7. Let c = -2 - -6. Let s = 1 - c. What is the second smallest value in u, -0.2, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.60717 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13713554\/473 greater than -28992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 25. Which is the smallest value? (a) s (b) 2\/21 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -268817 and 0.4.\nAnswer: -107526.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2644 is divided by 870.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/525, 17, -1, -26, -0.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 28640.\nAnswer: 85920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 117 (c) -0.02 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -26 - ((-5)\/5 + -5). Suppose 2*l - 4*n = 78, 4*l + 2*n = 57 + 59. Let a = l + c. Calculate the remainder when 43 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 30 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.6 - 60. What is x rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-4)*((-2)\/5 - -2). Let z be ((-20)\/16 + 1\/x)\/(-1). Which is greater: -2\/273 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-4)\/(-6))\/(-6 + (-5524080)\/(-920682)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/4 + 5*u**3\/3 + 4*u**2 + 3*u - 8. Let c be n(6). Solve 4*o - 8 - 9 = v, c = 5*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.835223cm in micrometers?\nAnswer: 88352.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 + 6*i**2 - 12*i - 3. Suppose -21*n + 22*n - 4 = 2*p, -2*n + 16 = 4*p. Is 87 a factor of h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o**2 + 34. Let b(q) = 2*q + 1815 - 1815. Determine j(b(i)).\nAnswer: 44*i**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16359621 and 424563?\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12497222*t + 6771848 wrt t?\nAnswer: -12497222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-180)*-10)\/((-10)\/(-6))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*-13578\nAnswer: 27156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 98 + 86 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m - 1. Suppose -39*v + 45*v + 42 = 0. Let n(t) = 12*t + 4. Let x be ((-1)\/3)\/((-9)\/(-54)). Give v*w(k) + x*n(k).\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3615.818mg?\nAnswer: 3.615818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, 3\/2, -2\/7 in decreasing order.\nAnswer: 3\/2, 0.4, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 55*g**2 - g. Let z be t(1). Calculate the highest common divisor of 36 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/5 of a tonne?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 9*m + 13. Let r be n(6). Let t(o) = 6*o**2 + 2*o + 5. Let a(y) = -3*y**2 - y - 2. What is r*a(f) - 2*t(f)?\nAnswer: 3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, 4, 8 in ascending order.\nAnswer: -16, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 13) in base 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80\/198 - (-16)\/(-88). Let a be (1 + (-14)\/10)*4\/8. Sort q, 5, a in increasing order.\nAnswer: a, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*f + 34, -16 = 3*f - 1. Suppose 2*w - o = -w. Calculate the remainder when 0*1*-1 - -2 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3361714.\nAnswer: 2, 103, 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 337, 391, 459, 535, 613, 687, 751?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506 and 351854.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y - y)*(y**2 - 3*y**2 + 4*y**2) + 0*y**3 - 5*y**3 + 4*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8005, -7902, -7799, -7696, -7593, -7490?\n\"Answer: 103*w - 8108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/6*(24\/(-9))\/2. Let a(t) = -8*t. Let x(y) = -7*y. Let s(g) = m*a(g) - 3*x(g). Let q(p) = -11*p + 1. Give -2*q(h) - 5*s(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/273 and -103\/1556786.\nAnswer: 60714654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202 - 370. Does -167 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/60 - 11*u**4\/24 - 3*u**3\/2 - 33*u**2. Let g be a(-6). Find l such that 12*l + 2*l**2 - 31*l - 4 + g*l = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let o(q) = 109*q - 2843. Give o(w(f)).\nAnswer: -109*f - 2843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 4. Let w(p) = 703*p**2. Give f(w(q)).\nAnswer: -1406*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -63. Let w be h\/(-4) + (-1)\/(-4). Let s = -11 + w. Put s, 1, -4 in descending order.\nAnswer: s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1499, -1498, -1497?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.6 (b) -1 (c) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 78. Let l be j\/3 + 96\/36. Suppose -y + 3*f = -13, -3*y = -0*y + 3*f - l. Solve -3*k = y*i + i + 13, 5*k = 4*i + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, c: 1, y: 9}. What is prob of picking 2 k?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 917408 less than 917407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, -4, -3.\nAnswer: -22, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(10\/(-3))*560\/(-30)*(-60)\/24\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + 2220332?\nAnswer: 2221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 4:34 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 14. What is the common denominator of (-38)\/15*63\/28 and b*((-4)\/(-80))\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 910 and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 15.\nAnswer: -8, -3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minutes before 1:05 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 10, v: 2, q: 2, i: 3, y: 2}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39312702 and 4536081?\nAnswer: 117938106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:31 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1014 - v**3 - 1014.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*m - 13. Suppose -5*k + 16 = m*g, -3*g = -3*k - 0*k. Solve -2*f - 3*f + k*n = -18, 4*f - 4 = -n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -2, -8, 5 in decreasing order.\nAnswer: 5, -2, -8, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 9, -9, 4, 8, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + b - 3 = 4, 0 = 5*b + 15. What is the first derivative of 7 + 20*g - 20*g - d*g**4 wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7927 at most as big as 7880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -2)*(-222)\/18. Let s = h - -19. What is the units digit of (2 - 1)\/((-2)\/s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -93225, 5, 3, 0 in descending order.\nAnswer: 5, 3, 1, 0, -93225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -7. Suppose -1 - i*s**4 - 3*s**5 + 3*s**5 - 3*s**3 + 8*s**2 + s**3 - 2*s + 4*s**5 = 0. What is s?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 13. Let b be h(5). Suppose o + 2*n = 2, b*o - 5*n - 35 + 7 = 0. Solve -3*x = -0*x - o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + 8 = 0. Suppose -o*d - 2 = -4*d. Let w be d - 1*-4 - 0. Put w, -5, 3 in ascending order.\nAnswer: -5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1216 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-5) - 1*33\/55. Let d(b) = 4*b - 1. Let u(s) = -2*s - 3*s + 8*s + 10*s - 3. Give n*u(f) + 17*d(f).\nAnswer: -10*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, -2\/3, 1\/3, -3, 2\/3, -62011?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3*249107)\/(6\/42). Suppose 5*m + 6539085 = p, -4*m = 3*p - 8*p + d. Let o = m + 2487818. What is o rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0 (c) -1\/2 (d) -2\/5 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -27. Suppose -k*c + 11 + 8 = 4*z, 0 = -4*c + 4. Let n(h) = h + 3. What is n(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215547 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*i**3 + 85*i**3 + 137*i**3.\nAnswer: 289*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2. Let o be n(-2). Let v = -24 + o. What is the tens digit of 1\/(-4) - (-2)\/(v\/(-162))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4191635210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*r + 4496 - 4537. Sort 2, 20, 14, r in decreasing order.\nAnswer: 20, 14, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8.5. Let p = -23 + 22.7. What is the nearest to -1 in p, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -177327000 to the nearest 1000000.\nAnswer: -177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -1. Calculate the highest common factor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:17 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 - 107. Factor 2\/7*k**2 + 10\/7*k**m + 0*k + 0 + 16\/7*k**4 + 8\/7*k**5.\nAnswer: 2*k**2*(k + 1)*(2*k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96032025?\nAnswer: 3, 5, 53, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3852518 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77465961?\nAnswer: 3, 8607329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*z + 0*z**4 + 1 + 7*z**3 - 6*z**4 - 13*z**4 - 3*z**2 + 180*z to j*z**4 + g*z + v + b*z**2 + y*z**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-7)\/f*f*f)\/f)\/f)\/((f\/(f*f**(-2\/5)))\/f*f*f)*f**2\/f**(-2\/3))**(-24\/5) assuming f is positive.\nAnswer: f**(688\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*r + 2*j + j, -r - 5*j + 2 = 0. Suppose -r*f + 18*f = 8. What is the remainder when 54 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2642 (base 15) to base 14.\nAnswer: -2d90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 0*c**3 - 6 - 13*c - 41\/12*c**4 + 25*c**2. What is the first derivative of v(r) wrt r?\nAnswer: -82*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-4)\/28*(-5 - 2). Which is smaller: 0.03 or z?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b**3 + 10*b**2 + 3*b + 26. Let y(v) = 3*v**3 - 4*v**2 - v - 9. Calculate 4*a(z) + 11*y(z).\nAnswer: -3*z**3 - 4*z**2 + z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38052 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-18)*-5*(-3)\/(-15)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 63*d**5\/5 - 17*d**4\/2 + d**3\/3 + 79*d**2\/2 - 3*d - 4149. What is the third derivative of t(q) wrt q?\nAnswer: 1512*q - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 7*b**3 - b**4 + 2 + 1 + 3 as t*b**2 + s*b**4 + p + m*b + q*b**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a + 2, 5*b - 272 = -3*a. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kesssssbske. What is prob of picking 1 s and 1 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1252401*0.08\nAnswer: 100192.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1 - 0 - -2)\/(-2). Suppose 3*c = 3*s + 9, o = 3*s + c - 5 + 22. Put s, 30, -2 in decreasing order.\nAnswer: 30, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 3 + 1)*(2*y - y - 2*y).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (477\/(-848))\/(2\/8)*68\/(-561)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29305301 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -462517, -462578, -462689, -462856, -463085, -463382, -463753?\n\"Answer: -n**3 - 19*n**2 + 3*n - 462500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1239 = 81*p - 57 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19279 or -19273?\nAnswer: -19273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 419845434 to the power of 1\/2, to the nearest integer?\nAnswer: 20490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 64 = 0. Let c = 44 + -38. Let w(s) = 10*s + 2. What is the remainder when w(c) is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*q**4 + 274964*q**3 - 252*q**2 + 41726.\nAnswer: -1680*q + 1649784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7183914*u + 7183954*u + 2960 for u.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 2. Let b(q) = -10*q + 7. Let w be (1 - -1) + -1 - -1. Calculate w*b(c) - 7*o(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -2\/3, 5, 3, -188 in ascending order.\nAnswer: -188, -2, -2\/3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -15*c + 9. Let s(m) = -7*m + 4. Suppose -12*p - 78 = 234. Let n = -10 - p. Suppose 2*f = -2*d + 10, 5*f + 4 = -n. Give d*s(a) - 4*q(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 35 = -20*l. Let z = 21 - l. What is the highest common divisor of 35 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2984*c**2 - 263*c.\nAnswer: -5968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.16, 3, -3, 3\/245, -13, 0 in descending order.\nAnswer: 3, 0.16, 3\/245, 0, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150*66\/22 - (2 + (0 - 1)) is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 299, -5\/3, -1, 8, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5453817089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 200*f**3 - 22*f + 198*f**3 to the form l*f + h*f**2 + j + g*f**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eff when three letters picked without replacement from {f: 2, w: 2, r: 3, e: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 13 + (1 - -1). Suppose -r = 10*l - 4*l. Let o = -6 - l. Is -4 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 6. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*2*-4)\/(2*sqrt(6)*1).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ecivivriie.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**3 + 3*g - 7. Let o(r) = -2*r**3 + r - 3. Let h = 201 - 208. Calculate h*o(q) + 3*f(q).\nAnswer: -q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*r - 4*q - 2, q = r - 11. Let n be -1 + r - 5*2\/(-5). Find the second derivative of -8*v - n*v + 6432*v**3 - 6464*v**3 wrt v.\nAnswer: -192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 20*y + 17. Let a(n) = -14*n - 13. Let z(g) = -41*g - 38. Let c(i) = -11*a(i) + 4*z(i). Let q(b) = 9*c(b) + 4*t(b). Is q(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 - 87. Let r = a - -83. Let k = 240 + -216. Calculate the greatest common divisor of r and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139045 + 82525 = 17*a - 18776. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(13) + (sqrt(117) + (sqrt(117) - (sqrt(117) - -2*sqrt(117))))\/sqrt(9))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78.00134 + -78. What is a rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*i - 4*v = -24, -5*v + 6 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(78)*-4 + 2*(sqrt(78) + sqrt(78)*1 - sqrt(78)))*3)\/((-6*(sqrt(18) + sqrt(72)\/sqrt(4)))\/sqrt(3)*-6))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 10*h - 6 + 5*h**2 + 3*h + h**3. Let a be z(-5). Let v(x) = -6*x + 1. Let b(d) = -d. What is a*b(c) - v(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768 = 18*f - 82*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*f**3 + 277*f**3 - 129*f**3.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2054104 is divided by 113?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -699.81 + 696. Let x = 0.19 - c. Let f = 8 - 3. Put x, f, -2\/13 in ascending order.\nAnswer: -2\/13, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*q = 0, 3*p + 4*q - 3*q = -2. Let g be p + 33\/110*28\/6. Suppose -v - 9 = -4*v. Which is the closest to -2\/5? (a) v (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6649 + 4868?\nAnswer: -1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-3 - -12) + (2 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*p + 2*j - 11, -j = -2*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 10. Suppose -3*i + 4*c = 16, 2*c = -p*i - c + 12. Solve 3*b = -2*a - 3*a + 10, -a + 5*b + 30 = i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42197180659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 91*w + 1465. Give h(-70).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70, -131, -178, -205, -206, -175?\n\"Answer: w**3 + w**2 - 71*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -340.51 - -319.5. Let m = t + 3.31. Let g = m + 18. What is the third smallest value in g, 0.06, 5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3003704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 598.8463kg to tonnes.\nAnswer: 0.5988463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*v**3 + 100*v**3 + 86*v**3.\nAnswer: 142*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*f**4 + 33*f**2 + 4*f + 15*f**4 - 24*f**4 + 0*f**4 wrt f.\nAnswer: 456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -4. Solve 30 = 4*f - 2*n - 0*n, -s = 2*f + 4*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25326 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2*r - 96*c*r**3 - 85*c*r + r**3 + 28341*r wrt c.\nAnswer: -10*c*r - 96*r**3 - 85*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 135 and 21.240950802.\nAnswer: 156.240950802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - g + 3*i, -14 = -3*g + 4*i. Solve -10 = 2*r - 4*r, -4*j + 2*r + g = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 96\/(-8)) + 0\/(1 + 0) + -15\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51790?\nAnswer: 2, 5, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 398*t**2 + 806*t - 378. Calculate k(201).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -868 + 2794. Suppose 15*a = 9*a + g. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -956.79 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9050 = -194*f + 204 - 6286 for f.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 390 + -174. Let q = 304 - v. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1267574*3\nAnswer: 3802722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**8\/2352 + 3*i**7\/490 - i**6\/42 - i**5\/21 + 4*i**4\/7 - 32*i**3\/21 + 251*i**2. What is n in k(n) = 0?\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/35156 and 40\/20153177.\nAnswer: 80612708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198695 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/43 + 83\/129. Factor a - w - 1\/3*a**2.\nAnswer: -(a - 2)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*l, -l = 4*j - 3 - 1. Solve -14 = j*c - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = 5*l, l + 4*z - 6*z + 2 = 0. List the prime factors of (-11)\/44*(-2283 + (l - 1)).\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1375 - 2.22541?\nAnswer: -2.08791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - (5*(sqrt(119)*-1 - sqrt(119)) + sqrt(119))))\/((sqrt(294)\/sqrt(6))\/sqrt(7)).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 2 - -1 - (0 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*k - 37183 - 131733. What are the prime factors of k?\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by 246.\nAnswer: 48\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + a + 19 = -4*a, -4*a - 8 = 0. Suppose -3*v + 4*u + 7 + 16 = 0, u - 8 = -2*v. Sort 2, v, h.\nAnswer: 2, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16 + -13)*4\/3. Which is smaller: 41\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 473 and 42235374?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192267 = -24749*h + 2430245 - 172361 for h.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5 + 816*b**4 - 168885*b**3 + 984118*b**2 + 25920*b - 5248800 = 0?\nAnswer: -2, 4, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166561*n + 9462 = -166727*n for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144855 and 2175?\nAnswer: 724275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 796 and 16306259.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 + 2*b**2 + 2*b - 3. Let s be 4 - ((-4)\/12 - 7\/(-3)). Determine k(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from {q: 1, t: 2, u: 3, c: 6}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2255\/13494 + 1\/2249. Which is the fourth smallest value? (a) q (b) 3\/8 (c) 83 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - 937360019100?\nAnswer: -937360019099.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/340906257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caarbncxacxbxcc. What is prob of picking 1 a and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 2*c + 0*c + (-3*c - c + 3*c)*(-31 + 14 - 8) + 3*c - 3*c - 3*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69244 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 1. Let o be z(-4). Is 11 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 2:18 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 1273 + 15905. Let w = 17919 - f. Let g = -7772 + w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22317 (base 8) in base 9?\nAnswer: -13830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7327 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 291*g**3 - g - 13. Let p(h) = -437*h**3 + 2*h + 20. Let o(i) = 8*d(i) + 5*p(i). What is the second derivative of o(v) wrt v?\nAnswer: 858*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*q + 12561, -4*w = -5*q + 13661 + 2043. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 383aa (base 12) to base 5\nAnswer: 4422334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 13*h**2 + 44*h - 1. Let i be r(5). Suppose 18*w - i*w = -4. Is 25\/6 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1236*g - 44 - 253 = 1209*g. Let b(l) = -2*l**2 + 35*l + 11. Let i(y) = -y**2 + 12*y + 4. What is g*i(h) - 4*b(h)?\nAnswer: -3*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y**3 - 5*y**2 - 6*y. Let k(x) = -16*x**3 - 10*x**2 - 11*x. Let i(l) = -4*k(l) + 7*u(l). What is i(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1443.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-3)\/(-3))\/((102\/(-30))\/17).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*y - 42*y + 60 = 0. Let l(s) = -3*s - 62. Let z be l(y). Solve 0 = -g + 4*o + 9, -g + 3*o = 4*g - z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*((sqrt(11) + 0)**2 - sqrt(11)).\nAnswer: -sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9) + (591\/(-1080) - 6\/20)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((336\/(-10))\/(-3))\/(-1*(-14)\/(-35)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2800 - -2802. Let k(q) be the first derivative of 0*q + 0*q**4 - 26\/5*q**5 + 1 + 0*q**3 + 7*q**h. What is the second derivative of k(a) wrt a?\nAnswer: -312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8 + 59\/(-2). Suppose 3*h + 17 = -5*b, -3*b - 2*h = -h + 11. What is the units digit of (10\/b)\/5*f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 30 + 10. Let l be 1\/((20\/(-25))\/y). Suppose -m = -2*m - 2*k - 10, l*m + 38 = 2*k. Let h(x) = -x**3 - 9*x**2 - 7*x + 2. Calculate h(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13425*u - 3*u**2 + 13425*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -195057800 to the nearest one million.\nAnswer: -195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2)*-2) - (sqrt(17) + (-3*(sqrt(17) + 2))**2).\nAnswer: -189 - 75*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 35*l + 566. Let b be q(47). Let j(u) be the third derivative of 0*u - 8*u**b + 0 + 1\/210*u**5 + 0*u**3 + 0*u**4. Factor j(o).\nAnswer: 2*o**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**4 + 12*y**3 + 6*y**2 - 4*y - 31. Let g(t) = -4*t**4 - 10*t**3 - 5*t**2 + 2*t + 32. Let w(p) = 6*g(p) + 5*x(p). Differentiate w(z) wrt z.\nAnswer: -36*z**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80114247 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 21. Solve -2*j - d*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 - 173. Which is the fourth biggest value? (a) w (b) -2\/21 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -25*z + 308. Calculate m(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 247885864 and 17962.\nAnswer: 1735201048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1849*y**2. Let r(q) = -3*q**2. What is f(r(x))?\nAnswer: -16641*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/120 and 83\/2564460.\nAnswer: 5128920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:54 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 6\/10915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -42?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8052 + -8009. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4085.4 - 4085. What is the nearest to 0.3 in -2\/13, -5, -1\/19, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -0.0146, 1\/33, 1\/2, -4, -1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 851*t**3 + 8*t**2 + 4*t + 1045. Let p(s) = 852*s**3 + 6*s**2 + 3*s + 1052. Let z(r) = 3*m(r) - 4*p(r). Differentiate z(y) wrt y.\nAnswer: -2565*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.2000092. What is x rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/29050 and -33\/140.\nAnswer: 58100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a factor of 834892990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206.0438 + 0.0438. Let k = i - -87. Let w = -118.84 - k. What is w rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2664096 times 3?\nAnswer: 3.7992288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*u + 8, 0*u = -f + u + 17. Suppose -4*b = b - 3*w - 15, 3*b - 5 = w. Which is greater: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + z + z + z - 10*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g + 1. Let n = -6 + 10. Let u(a) = 46*a - 78*a + 31*a. Give n*u(t) + z(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((68\/(-20) - -2)*108\/(-567))\/(108\/30).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/(21\/(-3276)*-26)*-33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928 a factor of 175194051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 95 = 2*o. Let v = o - 90. Suppose -3*y = 4*f - 124, -4*y + 63 - 19 = f. Solve -3 = 4*t - 4*d + 5, -d - f = v*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djddjjddjjjddddddd. Give prob of sequence jj.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1115, -1796, -3039, -4844, -7211?\n\"Answer: -281*n**2 + 162*n - 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -180? (a) 4 (b) -39 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - -2.3. Let r = q - 0.6. Which is the smallest value? (a) r (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:45 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183964532 + -183964502.9999951. Let x = 29 - n. What is x rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13767 (base 9) in base 13?\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -743*z + z**3 - 3 - z**4 + 740*z - z**2 + 2 in the form u*z**4 + m*z + d + l*z**3 + h*z**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9924.\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2398970249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**5 - 4540*v**4 + 673140*v**3 - 29841440*v**2 + 197954560*v = 0?\nAnswer: 0, 8, 82, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1781168 and 8368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72761*-4.\nAnswer: 291044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 23. Let t(z) = 176*z**2 + 47. What is 2*j(g) - t(g)?\nAnswer: -180*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b + 15, -3*r = 4*b - 7. What is the tens digit of r - 6 - (2 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13767 + -3538. Is b a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1209057 (base 11) to base 8\nAnswer: 10020550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**5 + 11*h**4 - 9*h**3 + 4*h - 1. Let y(u) = u**4 + u**3 - u + 1. Let p(g) = -2*v(g) + 2*y(g). Factor p(q).\nAnswer: 2*(q - 1)**4*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from kssqisikkkqqlkkkdssq.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 51\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244234 (base 5) in base 16?\nAnswer: -6170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89? (a) 3671 (b) -0.3 (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1148)\/(-22) - 18\/99. Calculate the highest common factor of u and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26843 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 8*y**2 + 8. Let p be x(8). Let f be p\/(-4) + 0 + 5. Suppose -i + 33 = 2*i. Solve 0*h = 5*h + 3*g + 19, 0 = h + f*g + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(720))**2*-3.\nAnswer: -19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 391*m + 3186. What is h(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from dcdddadbbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.602957ml to litres.\nAnswer: 0.007602957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/15*(-2500)\/6. Let r = o + -493. Suppose s - k + 538 + r = 0, s = -k - 1035. Round s to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 74*o**2 - 323*o + 1777. What is n(6)?\nAnswer: 2503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.815 - 6\nAnswer: -4.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-13)\/(g**2\/g*g\/g**(-4)*g)*((g\/(g*g**0))\/g)\/g*g**2*(g*g*g**1*g*g)**29 assuming g is positive.\nAnswer: g**151","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3168 = -1021261*c + 1021327*c for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (280\/(-15400))\/(123\/66 + -2). Factor -x*n**2 + 8\/5*n - 8\/3.\nAnswer: -2*(n - 10)*(n - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - s**2 - 2*s - 113. Let q be a(0). Let f = q + 117. Suppose f*k - 196 = 32. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 - 173. Let q = -84 - w. Let d = -22 - q. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5\/7)\/l)**(-34)*(l**(2\/7)*l)\/(l**16*l*l) assuming l is positive.\nAnswer: l**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489948305?\nAnswer: 5, 7, 11, 137, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -14, 0, 3, 5.\nAnswer: -82, -14, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 61. Determine g(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -127 divided by 7361\nAnswer: -127\/7361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x = -629*x + 118*x - 7131 - 4727 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*b**2 - 33*b**2 + 1062*b - 3177*b + 1063*b + 1052*b.\nAnswer: -100*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83699 and 3261?\nAnswer: 251097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1331448, 1331212, 1330988, 1330782, 1330600, 1330448?\nAnswer: 1330332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 - p**4)*((-6 - 4 + 3)*(-147*p + 137*p - 9 - 15)*(3 + 2 - 3) - 2*p + 2 - 2).\nAnswer: -138*p**5 - 336*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/43))**(3\/29)*a**(5\/6)*a*a**(-7)\/a)**(-31) assuming a is positive.\nAnswer: a**(1429751\/7482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5797*x**3 - 2911*x**3 - 2898*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 266276, 266697, 267118?\n\"Answer: 421*f + 265855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 12232*n**2 - 4*n - 12232.\nAnswer: 4*(n - 1)*(n + 1)*(n + 3058)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -44*w**2 + w - 26*w**2 + 54*w**2 - w. Let m(r) = -5*r**2. Determine m(k(u)).\nAnswer: -1280*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002001905 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Let u(r) = 2 - 5 - 6*r + 3. Let z(b) = -6*b. Let d(l) = 7*u(l) - 6*z(l). What is v(d(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(1785\/100) + (-8)\/(-68). What is the second smallest value in 2, z, 0.1, -10, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 47 + 20 = 0. Let r be (3 + -2)*(1 - -4). Suppose 0 = -4*z + r + b. Solve -z*l + 4 + 2 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*o*u - 474885*h**3*o - 3*h**2*o*u - 13*h*o*u + 4*h*o - 115*h*u - 2*o*u - 3*u + 12 wrt h.\nAnswer: 12*h*o*u - 2849310*h*o - 6*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156 - -233. Let z = -61 + 71. Suppose z - 15 = -3*b - 4*u, 0 = 4*b + 4*u - 12. What is the greatest common divisor of p and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -8. Let y be (5 - i) + 3*1. Suppose 0 = -0*v + y*v - 220. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 0*d**3 - 7 - 1.\nAnswer: -6*d**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 142, 226, 308, 388, 466, 542?\n\"Answer: -a**2 + 87*a + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 14) to base 12\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -433.4 + 433. What is the fourth smallest value in 4, 3.3, 2\/11, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 916*v. Let k(m) = -m. Determine x(k(a)).\nAnswer: -916*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z - 23. Let x be q(-7). Let h(n) = 2*n**2 + 2*n - 3. Let w(l) = -6*l**2 - 7*l + 8. Calculate x*w(r) - 7*h(r).\nAnswer: -2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*2*5. Let w(n) = -n**3 + 4*n**2 + n - 3. Let h be w(y). Let j = -9 - h. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**4\/4 - 2*d**3 - 3*d**2\/2 + 2*d - 7. Let u be y(-4). Is (-120)\/u + 6\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 3*k - 2)*(-2*k - 4 + 4) + 1 + 2189*k**2 - 2 - 2232*k**2)*(6*k - 5*k + 5*k) as x*k**3 + j*k + m + u*k**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4309\/26934?\nAnswer: -4309\/26934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32773*b**3 - 2*b**2 - 357 + 10*b**2 - 2*b - 32620*b**3 wrt b?\nAnswer: 918*b + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s - 58. Let f be t(11). Which is the fourth smallest value? (a) f (b) -4\/3 (c) -0.2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 8*z + 13. Let t be h(6). Solve -3*j = t - 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - h + 162, 162 = -0*g + 2*g + 2*h. Let v = -84 + g. Let s be (2 + 7\/v)*-9. Solve -2*q = s + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6035\/3, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlpl when four letters picked without replacement from {p: 1, l: 2, w: 1, k: 2, q: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*x - 16, 5*x - 9 = -5*m - 29. Let p(l) = -l**2 - l - 19 + m*l**2 + 0*l + 20. Give p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 3*g + 128, -3*g - 133 = -311*q + 316*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464342020 to the power of 1\/2, to the nearest integer?\nAnswer: 58859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 918252, 918253, 918254?\nAnswer: 918255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6*n + 3*n = 2*n + 35, 8*l - 5*l + 4*n = 65 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.9 and -79313169.\nAnswer: -79313167.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337271, 337273, 337275?\nAnswer: 337277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1110984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 2*j + 3*j. Let g = -9 + j. Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20590.\nAnswer: 2, 5, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kux when three letters picked without replacement from {g: 7, x: 5, k: 1, u: 1}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s**2 + 4\/15*s**3 + 0*s + 2\/15*s**5 - 2\/5*s**4 + 0.\nAnswer: 2*s**3*(s - 2)*(s - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*n - 13. Let f = n - 0. Let o(x) = x**2 - 19*x + 46. Let b be o(16). Sort f, 1, b in descending order.\nAnswer: f, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55063335 divided by -18354445.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/18)\/(-7*10\/(-105))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1441729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/((-3)\/117). Let o be 0 - (3 + d - 0). Suppose 4 - o = -3*x, f + 3*x - 13 = 0. Solve 5*h + f = -2*t, 0*t - 4*t = -16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 516*a**2 + 16372*a - 4306. Give l(-546).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 570*o**2 + 559*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*i + 4*i - 141, -4*i + 146 = -2*n. Let x = -35 + i. Suppose 3*j + 3*b + b = 626, 0 = x*b + 4. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20592)\/(-390) + (-2)\/(-10). Suppose -3*h + 37 = 2*y, -5*y + 4*y = -4*h + w. Let v = 70 + 34. What is the highest common factor of v and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 524475?\nAnswer: 1048950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - y**2 - 2)*(0 + 64*y - 63*y + 3).\nAnswer: -y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48774 and 2442.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 8:04 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445900471?\nAnswer: 23, 19386977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 341. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-6)*(-4)\/(-1). Let l(u) = u**2 - 6*u + 2. Let q be l(j). Let n(c) = 10*c - 1. Calculate the remainder when n(q) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u - 3. Let a be (-3 + 8)\/(-2 - -1 - 0). Give l(a).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:36 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 524107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 11*d = 2*d. Suppose d = -4*y + 78 + 46. Suppose -q + y = -81. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.03438 (c) 3\/4 (d) 368\/3 (e) -2\/9 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19720, -39435, -59148, -78859?\n\"Answer: r**2 - 19718*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(700).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 0*z**4 + 0*z**3 + 0*z**2 - 10*z + 4 + 9\/5*z**5. Differentiate j(u) with respect to u.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/3)*m*m))**(1\/4)\/((m*(m\/((m**(2\/9)\/m)\/m))\/m)\/m**6) assuming m is positive.\nAnswer: m**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6434316 and 14?\nAnswer: 6434316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.4, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10053*z**3 - z + 5094*z**3 + 5024*z**3 + (0 + 0 + 2*z)*(-1 + z**2 + 1) + 2*z**3 - 3*z**3 - 2*z**3 to l*z**3 + u + k*z**2 + s*z and give l.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -379 - 4?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/4 + 4*h**3\/3 - h**2\/2 - 4*h - 2. Let t be f(-4). Suppose 3*o - 2940 = -t*o. Round o to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64119 divided by 56?\nAnswer: -64119\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 514*p + 4632. Calculate o(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 945 - 994. Let h = a - -51. Solve h*f - 10 = -5*t, 2*t + 3*f = 3*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/60 - 11*o**4\/12 - 7*o**3\/2 - 47*o**2. Let a be -3*(-2 + 3) - 4. Is r(a) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/6))**(-22\/7)\/(w**11*w**(-2)*w*w) assuming w is positive.\nAnswer: w**(-242\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -25. Suppose n - 2 = -3*r, u*r - 4*n + 2 = 8. Calculate the remainder when 1 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 - 3*f**2 + f + 2. Let z = 4200 + -4202. Determine i(z).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/2 + 194*c**3\/3 + 1488. Let k(h) = 0. What is h?\nAnswer: 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wife when four letters picked without replacement from ewsfi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 + -1)\/(-8)*919*-3. Let g be 1\/((-14)\/105)*(-4)\/6. Is 20\/(-50) + c\/g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 1. Let d be q(5). Let a be 2*6\/(-66) - (-2114)\/d. Suppose 2*t = 6*t - a. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1129, -2279, -3427, -4573, -5717?\nAnswer: -6859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-4))\/(-6 - -3)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48\/10*60\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -25?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 209.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q = -57*q + u + 7320, -3*u - 9157 = -5*q. List the prime factors of q.\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 15 = 7*y - 5*y, -3*z - 250*y + 431 = -328 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1 - 0)\/((-4)\/(-8144)). Suppose -5*g + 4*w = 2542, g - 4*w = -3*g - k. List the prime factors of (-4)\/(-10) + 6\/((-60)\/g).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 11:53 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48692*a - 26516 wrt a?\nAnswer: -48692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkse. Give prob of picking 1 e and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-114)\/24 - (-6 - -1). Let p = -945911\/38 - -24894. Let i = p + -2\/19. Put -2, x, i in descending order.\nAnswer: i, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 2060*y**2 - 205605*y + 419490.\nAnswer: -5*(y - 2)*(y + 177)*(y + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11 + 2*m**3 + 32277679*m - 32277679*m - 76*m**2. Calculate t(38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55973, -111959, -167951, -223949, -279953?\nAnswer: -335963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/2 and -65\/762.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -666*s**2. Let x(y) = 15*y. Let a(j) = 6*j. Let f(q) = -9*a(q) + 4*x(q). Determine f(w(b)).\nAnswer: -3996*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Let d = -129 + 127. Let o = n - d. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*y + 5*s - 6, y - s = 2. Suppose 0 = n - y*p - 64, -2*p - 299 = -5*n + 2*p. Suppose -58*t - 7 = -n*t. Sort -2, t, -4 in descending order.\nAnswer: t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100111 - 1000110110?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-10)*10\/4. Suppose -p*g + 24 = 5*g. What are the prime factors of 12\/g - 1010\/(-5)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1558000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 + 7*c + 9. What is s(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6118*l**5 - 541*l**3 - 15780690*l**2 wrt l?\nAnswer: -367080*l**2 - 3246","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 1\/2, 3\/5, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-22))\/((-2342)\/(-244739)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, 4, 27090 in descending order.\nAnswer: 27090, 145, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*c**2 - 127*c**2 - 143*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g - 32*g**2 - 29*g**2 - 9 + 130*g**2 - 71*g**2. Let m(n) = 25 - 4 + 3 + 6*n**2 + 26*n + 2. What is -17*d(q) - 6*m(q)?\nAnswer: -2*q**2 - 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119240 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41921, 41921, 41919, 41915, 41909, 41901?\n\"Answer: -o**2 + 3*o + 41919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.3. Let i = 0.09 + 0.91. Let l = 2 + -2.2. Which is the closest to p? (a) i (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 47 = 25. Suppose 5*c - g = c. Let w be 2*c\/6*1. What is the highest common factor of 39 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 287*q + 286*q - 2, -27*q - 161 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.023671607 + 440369512.976328393. Let d = -440369591.6000333 + c. Let y = -78.6 - d. Round y to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21705, 52057, 82409, 112761?\nAnswer: 143113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 14*u + 0*u**2 - 5 + 11. Let c be i(-8). Calculate the greatest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7553537, 7553466, 7553395, 7553324, 7553253?\n\"Answer: -71*g + 7553608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 38. Solve 0*n + q = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -18*v - 25. Let i be c(7). Let b = -95 - i. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -70 (b) 2\/11 (c) 4\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (16\/(-896))\/(12\/1918) and 3\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0*d + 7*d - 3*d. Let o(v) be the first derivative of -2*v**3\/3 + 34. Calculate o(s(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-15)\/9)\/(112\/42) and -7\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-20)\/12)*(-2620)\/393\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 950 + -49. Let z = 13423\/1278 + -2\/639. Find the common denominator of z and (-2)\/(-9) + w\/(-126).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2 + 0 + 0 - 1 + 1 - 5 + 3 + (-1 + 1 + 2)*(4 + 0 - 7) + 5 - 1 + 0 + 2 + 5 - 4)*(-3 + 2*x + 3) as o*x + j and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 958\nAnswer: -5\/958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 153a12031?\nAnswer: -153a12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(6\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162339 to the power of 1\/2, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149343 and 33435?\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 4, -29, -102, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 927*d**2 + 189028*d.\nAnswer: -d*(d - 172)*(d + 1099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(7\/(-4)) - -95. Let k = q - 49. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8874 and 408?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:43 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p - 40. Let u(m) = 2. Let d(b) = -i(b) - 20*u(b). Suppose 4*v = -4 + 16. Let k(a) = 6*a. What is v*d(n) + 2*k(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 6:55 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*f + 111*f + 4 - 46.\nAnswer: f - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 0.15?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -2. Suppose 10 = -r - r - 2*p, -2*p + a = -r. Let x = r - -12. Calculate the remainder when 13 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166173*c**2 + 83088*c**2 + 83088*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 30*m**2 - 5*m + 28. Let h(c) = -29*c**2 + 6*c - 34. Give 5*h(b) + 6*k(b).\nAnswer: 35*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 322*r**2. Let n(u) = -u + 40193*u**2 - 4*u - 40191*u**2 + 5*u. Determine f(n(s)).\nAnswer: 1288*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 - 5026*g**3\/5 - 47162*g**2\/5 + 16394*g + 65076\/5 = 0. Calculate g.\nAnswer: -493, -11, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(1\/4))**13)**(6\/11))**(-16))**(-6\/11) assuming u is positive.\nAnswer: u**(9360\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 2*g**2 - 47*g + 59. Calculate r(10).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/3861 and 61\/80553?\nAnswer: 9424701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 6 - 6.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + -1 + 5 + 5. Let j(z) be the second derivative of -12*z + 0*z**v - 13\/2*z**2 + 1\/2*z**5 + 0 + 0*z**4. Differentiate j(t) wrt t.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001567029611 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-2)\/(2*-7)). Suppose 94*y + 42 = 101*y. Solve n - g = 5*w, 4*n - y*w = -4*w - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 16*u - 3. Let h be m(-3). Let b be h\/15 - 4\/(-10). Suppose -f = -4*f - 6. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-420) + (-1)\/5.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32781626 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (-20)\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 5*w - 4. Let f be x(-7). Let h = 2175 + -2143. What is the highest common divisor of h and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-30)\/5)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 1, b: 1, n: 1, y: 1}. Give prob of picking 2 j.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 522 and 342374.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 34*s**2 + s**2 + 25*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -427\/40?\nAnswer: -427\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = 2. Suppose 0 = -5*x - 4*p + 98, -2*p = h*x - 7 - 31. Suppose 0 = -2*m + x + 32. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 10*a - 10. Let c be l(-6). Let w = 89 + c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67139?\nAnswer: 67139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 26*a**2 - 1886*a - 656. Let n(l) = 9*l**2 - 629*l - 218. Let t(g) = -3*b(g) + 10*n(g). Solve t(p) = 0 for p.\nAnswer: -1\/3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1260 and 17280?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1596, 13 in descending order.\nAnswer: 13, 8, -1596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3151767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.095*-4016.\nAnswer: -381.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2403*t = 4356*t + 2462*t + 5614*t - 1053045 for t.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 15*b**2 - 14*b + 215. Let t be p(15). Solve 0 = -2*s - t*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 588.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910 + 891 = -3*q + u, -1 = -q + u. Suppose 1 - 7 = -3*i. Calculate the lowest common multiple of q and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*u + 36*u + 108*u + 80*u to n + m*u and give m.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 5 (b) 1\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a second?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2111289294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1202.9 + -1202.899993645. Round g to seven decimal places.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 602\/5 + -120. Let l = -8 + 12. Which is the smallest value? (a) 0.2 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2*p)*(4 - 4 + 2*p) + 2 - 2 + 4*p**2)*(6 - 1 - 2)*(-45*p**3 + 61*p**3 - 389*p**3).\nAnswer: -8952*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**2\/2 + 1. Let l(w) be the second derivative of 0*w**2 + 1\/3*w**3 + 0 + 19*w. Give r(l(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 23. Determine b(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748508 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 159669 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, a: 4, e: 2}. What is prob of sequence eae?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrvooqqovooqoqqof. What is prob of sequence of?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 1. Let c(k) = -8*k**3 + 12*k - 10. Let h be ((-8)\/(-12))\/((-8)\/48) + 3. Give h*c(v) - 10*r(v).\nAnswer: -2*v**3 - 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 7. Determine d(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2 - 2 + (0 + 2 - 4)*(3*s - 5*s + 0*s) + 0*s - 8*s - 11*s + 324*s - 21 + 21 - 106*s.\nAnswer: 202*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 times -156255?\nAnswer: 58439370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y. Suppose -3 = -5*k - 3*w, -3*k + 29 = -0*k - 5*w. Let c(q) = 5*q - q + 0*q - k*q. Determine d(c(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1365 and 54327.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38, -1844, -6792, -16454, -32402?\n\"Answer: -262*f**3 + f**2 + 25*f + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b**3\/4 - 159*b**2\/2 + 192*b + 2280 = 0.\nAnswer: -4, 10, 76\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -36.5. Let k be 18\/(-63) - (-20)\/21. Let t(u) = -u**2 + 2*u + 2. Let s be t(3). What is the nearest to s in -1\/4, k, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 148.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-273)\/(-78) - (14\/4 + -3). Solve -3*g + 5 = 4*i - 16, g - 2*i + j = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6481085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 75 - 42 = 3*w, -5*w + 101 = 4*k. Let g be k\/(-1)*15\/(-20). Suppose 0 = 2*m + 8, 0 = -0*l - 2*l + 3*m + g. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -429, -6 in decreasing order.\nAnswer: -4, -6, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 7*x + c - 47, 3*x - 3*c + c + 26 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**4 - 111*l**3*n**3 - l*n**3 - 159*n**3 wrt l?\nAnswer: -4*l**3 - 333*l**2*n**3 - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 78. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319 - -213. Let s = 111 + u. Suppose -2*r - r + 45 = 0. What is the highest common divisor of s and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 352 = 343 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292934.\nAnswer: 2, 3, 229, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 8 + -43 + (-35 - -58)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from csccgctsj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:42 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35644089617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/69, -0.5, -0.78, 3 in decreasing order.\nAnswer: 3, -4\/69, -0.5, -0.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 9*t - 39. Let p be u(-12). Let x(q) be the first derivative of -q**4\/4 - q**3\/3 + 2*q**2 + q - 1. Is 7 a factor of x(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 493 + -280. What are the prime factors of j?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60544)\/(-166496))\/(2\/220).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4271*c**4*x**2 - 134*c**4*x - 4*c**2*x**2 + 5*c**2 - 26*c*x**2 + 42 wrt c?\nAnswer: -102504*c*x**2 - 3216*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 - -141. What is the third derivative of -u*j**2 - 6 + 3*j**4 + 5*j**2 - 8*j**2 - 4 - 2*j**3 + 7*j**2 wrt j?\nAnswer: 72*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5 + ((1 + sqrt(500))*-6 - sqrt(500)) + 1*2*sqrt(500)*-6)**2)*3.\nAnswer: 12540*sqrt(5) + 541875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 227451.\nAnswer: 2501961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.841 - 14.841. Is 0.29 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1287*h + 155904 = 1316*h. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -17. Let x be (u\/25)\/(1\/10). What is the greatest common divisor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or -225\/4?\nAnswer: -225\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4bc15b (base 14) in base 7?\nAnswer: 31105544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, -25, -480, -1367, -2830, -5013, -8060, -12115?\nAnswer: -17322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 252215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1507442041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8669 + -8659. Let y(g) = 2*g**2 + 13*g + 15. Calculate the smallest common multiple of y(-9) and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63662448 divided by -4?\nAnswer: -15915612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -316\/69967 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 5. Let s be r(-6). Let o = 50460360188\/4455 - 11326680. Let n = 2\/405 + o. Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/49 - (-698)\/(-7). Let i = u - -703\/7. Let j = -2 + 3. What is the biggest value in j, -1\/2, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y. Let o be i(-1). Let j(w) = -2*w**2 + o - 3. Let d(p) = 7*p. What is d(j(q))?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**2 - s**2 - 18*s**2 - 5*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 354, 327, 278, 207, 114?\n\"Answer: -11*m**2 + 6*m + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -11, -2, -1, 3, 4, 5 in decreasing order.\nAnswer: 5, 4, 3, -1, -2, -11, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/5 + -6 + 7 + 9. Let d(z) = 2*z**3 - 16*z**2 - 21*z + 22. Determine d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2963672um?\nAnswer: 0.00002963672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 3*h + 645 = 12*q, -324 = -2*q + 2*h. Let d be q\/(-15) + 4 + 7. What is the second smallest value in 1, -1.9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323972.\nAnswer: 2, 11, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 9*i**2 - 8*i + 4. Let a be r(-8). Suppose -h - 13 = 5*k - a*h, -4*k + h = 9. Is (k + 1050)\/4 + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v - 410. Let u be c(58). What is the closest to 1 in -0.5, 2\/9, u, -4\/13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79714607 to the nearest integer?\nAnswer: 8928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 + 2*c**2 - 5*c**2 + 0*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 25*n - 144. Calculate d(7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r**3 + 5*r**3 + 94*r**2 + 7*r**3 + 2 + 5 - 3 in the form y + b*r**3 + n*r + i*r**2 and give i.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 + 1060*y**3 - 182.\nAnswer: 1060*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 2*w)*(3*w**4 - 5*w**4 + 0*w**4) + 368*w**5 - 139568*w**3 + 139568*w**3.\nAnswer: 366*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -13. Let n be (-2)\/o - 84\/(-16). Suppose -619 = -5*s + 4*m, n*s + 5*m - 655 = -0*m. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753, -749, -745?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = b - 26, -45 = -5*b - 2*d + 5*d for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Suppose 8*s - n*s - 20 = 0. Find the third derivative of -1 + 3*c**2 + 4*c**s - 2*c**4 + 1 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 759\/(-51359)*(9 + -5)*7\/(-12)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 18. Let x be m(18). Suppose 2*j + x*j - 4*t - 16 = 0, 2*t = -6. Solve p + j*a + 8 = -2, 4*p - a = -13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17280 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 + -3 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.99 - -0.97. Let d(j) = -2*j**3 - 4*j**2 - 4*j - 3. Let m be d(-2). Which is the closest to -0.1? (a) n (b) m (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347799 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2918, -2917, -2916, -2915, -2914?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqr when four letters picked without replacement from rqrrrqqqrqqqqqrqqqr?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-50)*((n\/(n*n*(n*(n*n**(1\/3))\/n*n)\/n*n))\/n)**(-7\/4) assuming n is positive.\nAnswer: n**(-509\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9316571.8 to the nearest 100000.\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-14 - -13 - (4 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**2 - 3*z - 1. Let h(s) = -5*s**2 + 2*s + 1. Calculate 5*h(x) + 3*j(x).\nAnswer: 2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 19*b = 40. What is the least common multiple of b and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + a + 17. Let d be g(0). Let u = d + -1. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5 + 20*q**4 + 108*q**3 + 144*q**2 = 0.\nAnswer: -12, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + sqrt(75)*3 + sqrt(576)\/sqrt(12).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)\/y**(-3\/25))\/(y*y\/(((y\/(y\/(y*y**(-19)\/y)*y))\/y)\/y)*y\/(y*y*(y**23*y)\/y)) assuming y is positive.\nAnswer: y**(-197\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 103*k - 13888 = 0. Calculate the remainder when k is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473586 is divided by 197?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5297996.\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 212154404?\nAnswer: -212154413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5075?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - 2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2541d (base 14) to base 10\nAnswer: -91363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from jjjajkaajkjjka?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 13. Suppose -11 = 3*o + 4*s + m, -3*o + s = 40. Calculate the common denominator of 27\/(-6)*17\/o and 1\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2 - (-2 + 0)*-1. Suppose -2*k = 7 + n. Let p = -4961\/6 + 830. What is the common denominator of k and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/221)\/((-16050)\/(-104325))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 5*j + 8. Give l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - g + 106 - 362 = 0, 2*s = -5*g - 110. Which is smaller: s or -64?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 smaller than -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*-2)\/sqrt(12) - -6*(sqrt(60) + sqrt(540)))\/(1*(sqrt(108)*-3)\/sqrt(9)).\nAnswer: -22*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 2*w + 1. Suppose 0 = 2*d - 5*x - 20, -4*d + w = 3*x + x. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/36)\/(-1) + (-6431)\/(-9). Suppose 1497 = 4*g - h. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3051123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 m when three letters picked without replacement from {f: 5, g: 3, m: 4}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 1. Let n be (-8)\/28 + y\/(-14). What is the first derivative of -1 + n*h + 0*h + 0 + 3*h wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37937.7 + 37938. Let l = -4 + 0. Let t be 1\/(-4)*l\/(-9). Which is the smallest value? (a) g (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 33. Sort 4, j, -0.4, 2 in decreasing order.\nAnswer: 4, 2, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-112)\/(-42))*(-18)\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001285 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.1569783?\nAnswer: -0.3139566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 - 12*p**2 + 77*p**2.\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wll when three letters picked without replacement from jtpjwjllwjw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 5*g + 2 + 5*g**2 - 2*g**2 - 5. Let u be q(6). Suppose -5 = s + 5*k, 4*s - 1 + u = -2*k. Is s at least as big as -1\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 17*d + 3. Let t be j(2). Let h = 56 - t. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Suppose -i*p - 6 = 14. Let n = p + 8. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 404.\nAnswer: 1\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/20)\/(8\/(-10) - -1). What is the third derivative of 3*l**4 + 15*l**2 - f*l**4 - 2*l**2 - 17*l**5 wrt l?\nAnswer: -1020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 15*o + 7. Let t(a) = -1. Let b(w) = -2*g(w) - 2*t(w). What is the first derivative of b(u) wrt u?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 9\/22 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.00522 less than -3?\nAnswer: -316.00522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4*h**2 + 1238*c**3*h**2 - 464*c**2*h - 2*c*h + h**2 wrt c?\nAnswer: 48*c*h**2 + 7428*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = 2*s, 0 = -3*s - 2*f + 6*f - 7. Solve 0 = s*i + 1 - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 821*z - 11. Let l(o) = -1232*o + 15. Give -5*l(n) - 7*v(n).\nAnswer: 413*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/192)\/(((-9)\/8)\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60492224 divided by 290828?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -5, -8, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 121*w**2 + 28561*w - 301. Give v(-240).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + m - 6, -35*n - m = -37*n + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/(g**(-4\/5)*g*g))\/(g**(-2)\/g)**(-28) assuming g is positive.\nAnswer: g**(-421\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1705*u - 96. Let z be c(5). Suppose -12351 = -20*k + z. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 32*l**2 + 14*l - 564. Give s(32).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s\/(s\/s**(-1))))))**20*(s\/((s**(-1)*s)\/s)*s)\/(s\/(s**(-4)*s)))\/((s**0\/s)**8*s**(-6)*s**(-2)) assuming s is positive.\nAnswer: s**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 250?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 2\/17, -1\/3, 30, -498, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3972 divided by -993.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + y - 4 = 0, 3*y = -2*u + u + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 46.0000053. Round m to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113316333 (base 7) in base 2?\nAnswer: -11010101100000101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4668 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 11*g - 12. Let d be w(-13). Calculate the greatest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3554713 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152718214?\nAnswer: 2, 11, 31, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 4*p - 190. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*r - 369 + 160. Calculate the remainder when 12 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 37*h = 0. Suppose h = t - 356 + 45. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2702219361 to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 > 829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5502 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 997*v**2 - 5*v + 27. Is i(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoww. What is prob of sequence owox?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 191067157189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 13*u)*(-u + 2*u + 0*u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 3\/(-6)*-14. Let a(b) = b**3 + 11*b**2 + 10*b + 13. Calculate the remainder when 38 is divided by a(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.56 + -2.44. What is the third smallest value in 0.1, -5, 0.5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = k, -4*k + 46 = 6*z - 3*z. Suppose q + k = 46. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k. Suppose k = -4*s - 29 + 5. Let q = 303 - 310. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -213, -2 in decreasing order.\nAnswer: -0.3, -2, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.9 - -36.9. What is the fourth smallest value in f, 2, 1, -118?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/21 + (1 - -1))*3. Let h = p - 211\/35. Solve 2\/5 - 2\/5*b + 2\/5*b**3 - h*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1642*h + 1 - 1141*h to b + v*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (506\/1771)\/((-66)\/(-14)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 12:05 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 17*j - 65. Suppose -26 = 5*m - 46. Let q be z(m). Let h be 3*(-2 - -4 - -1). Which is the nearest to 0? (a) h (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 14*s**5\/3 - s**4\/6 - s**3\/2 + 19*s**2. Is r(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 832 + -792.34. Let d = f - 39.46878. Let s = -0.193 + d. What is s rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 607857391, 1215714782, 1823572173?\n\"Answer: 607857391*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 2*t**2 - t + (t + t + 0*t)*(1 - 2*t - 1) + 139539*t + 613*t**2 - 139539*t - 1.\nAnswer: 607*t**2 - 1","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 {l: 6, r: 5, n: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (33 + -29 - 34)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.587283 micrograms to nanograms.\nAnswer: 587.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072*v - 698*v - 856*v + 762*v - 3284*v.\nAnswer: -5148*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1723*j - 158488 = -52171 + 43584 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/70)\/((-4878)\/115175) + -2\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 6974 = 21*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-102 + 65*z**2 + 55 + z**3 + 45)*(z - 2*z - z) to the form m*z**4 + k*z + w*z**3 + v + c*z**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 10:18 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:46 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, 2\/181, 0 in increasing order.\nAnswer: -4, -1\/2, 0, 2\/181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107937, 17, -3, 1, 2, -4, 4.\nAnswer: -107937, -4, -3, 1, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 6:45 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*a + 8, 7*a - 2*a + 0*a = 3*a - o - o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -1 + 55\/11. Suppose -6 + 0 = -2*u - x, 2*u - 6 = 5*x. Does u = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + t = 24, 4*w - 32 = -0*w - 3*t. What is the remainder when (-7*(-3)\/5)\/((-2)\/(-10)) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5053 and 40424?\nAnswer: 40424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 2 e when four letters picked without replacement from {q: 4, h: 1, e: 8, m: 7}?\nAnswer: 784\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 868?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 4*a + 1. Suppose 5*o + 0*o = 0. What is the remainder when c(-3) is divided by 6 + (1 + -4 - o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6*k - 216. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - 61*y - 5*y**2 + 122*y - 62*y as z*y**2 + a*y + v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 2. Suppose 4*k - 8 = 5*n - 0, 10 = 5*k. Let p(f) = -11 + n + 8. Suppose -15 = 4*y - 3. Calculate y*r(o) + 2*p(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.0228 kilograms in milligrams?\nAnswer: 51022800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68*(-3)\/(-6)*10\/4. Let i be (k\/15)\/(1\/6). Suppose s = -4*s + 85. Calculate the highest common divisor of s and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -7. Suppose -r*p + 3*c + 11 + 16 = 0, -3*p = 2*c - 1. Suppose -p*l + 3*n - 2*n = -134, -5*l - 2*n = -238. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14013213 (base 5) to base 4\nAnswer: 202211303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4822, -1, -0.5, -2, 0.5 in descending order.\nAnswer: 0.5, -0.5, -1, -2, -4822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -650527*m + 10408431. Calculate z(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 5992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-1)\/(6\/4))\/(-34*111\/(-71706))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102203311231 (base 4) to base 13\nAnswer: -1014739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = z. Let y be 1\/(-9)*(-30)\/(-4). Let k = -3.66869 - -3.26869. Which is the nearest to 0? (a) k (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**5 - 3*g**4 - g**2 + 69 wrt g?\nAnswer: 540*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -274 - -1?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 6. Let t be (-10)\/(-20) - 3\/(-2). Let q be (-3)\/t - 21\/(-6). Let g be y(q). Solve -4*n = -5*c - 1 - 4, -c + 4*n - 1 = g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85 and 4250.\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*f + 26 = 0, f = 3*c - 4 - 20. Let q = c - 1. What is the first derivative of -11 + 4*x**2 + 15*x - q*x - 9*x wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -k + 3*q, 4*q + 6 = 2*k. Let d(a) = -2*a - a - 9*a**2 + k*a. Let l(s) = -2*s**2. Give l(d(p)).\nAnswer: -162*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*t + 3*f, 0 = 2*f + 2*f - 20. Let l = -11 - t. Suppose -3*c = -4*m + 1, m = -0*m + 3*c - 11. Sort m, l, -1 in increasing order.\nAnswer: l, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*f - 152*f + 332*f)*(2 - 4 + 0).\nAnswer: -102*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25227*i**4*u + i**2*u + 107770*u wrt i.\nAnswer: 100908*i**3*u + 2*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 26 - (-17 - (-21 + 18 + -3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/9*(33\/99)\/((-1)\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207581329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 2595*s**3 + 3 - 178*s**3 + 3*s**2.\nAnswer: 2417*s**3 + s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*i + 20 = 3*r, -3*r = -3*i - 15. Solve r*a = -0*a + 4*o, a - 3*o - 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:36 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031507101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q. Let y(v) = -10*v. Let a(k) = 6*x(k) - y(k). Let d(c) = c - 4. Let l(t) = 2*t - 7. Let j(s) = 7*d(s) - 4*l(s). Determine a(j(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-7*(-14)\/(-686)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2179958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.16 - 17.9. Let j = v - 0.23945. What is j rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1460*y + 84687. What is c(-58)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -16*o - 65. What is the remainder when p(-7) is divided by (-8)\/(-36) - (-302)\/18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**2\/5 - 216718*i\/5 + 10836.\nAnswer: -2*(i + 27090)*(4*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afrrarfrrrrrarrrff. What is prob of sequence ra?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**4 + 2*o**2 + o - 2. Let u(i) = 847*i**5 + 8*i**4 + 8*i**2 - 114*i - 8. Let w(k) = 4*f(k) - u(k). Find the second derivative of w(h) wrt h.\nAnswer: -16940*h**3 + 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/13*(15 - 266\/16)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((144\/(-63))\/8)*270\/108?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 334 and 698390?\nAnswer: 116631130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-4 + (-7 - 0)). Let z = 17 - 15. Let o be (z\/(-6))\/((-2)\/18). Solve -o*p + 4 = x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -200*s**2. Let y(l) = -1803*l**2. Give y(r(v)).\nAnswer: -72120000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*g - 30, 4*v = -2*g - 3*g + 57. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 697774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -11.9\nAnswer: 5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 5 + 0\/(-6). Let b be (-6)\/(-2 - 1) - -12. What is the highest common divisor of l and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-2 - (-3 + -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 848803.4kg?\nAnswer: 848803400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -481, -772, -1047, -1300?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 3. Let i be (-4)\/b*(-5)\/16. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 27504760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 - -1946\/9. Let t be (-4792)\/11381*(-19)\/14. Let q = 3.1 - 0.1. Which is the third smallest value? (a) t (b) q (c) -2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15ba5a (base 12) to base 3.\nAnswer: 200221200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/39*9\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0 + 7571*n - 3 + 6. Let a be m(7). What is a rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.198433ng?\nAnswer: 0.000000001198433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23301 by 7767.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115483787 to the nearest integer?\nAnswer: 10746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.46? (a) -2\/21 (b) -20 (c) -0.03 (d) -0.5 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h + 99. Let q be r(-10). Let f = 4 - 2. Calculate the common denominator of -28\/9 and (-1 - (3 - f))\/((-60)\/q).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.9 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 9*v**2 - 8*v - 6. Let z be a(8). Let h = z + 10. Suppose -5*l - b + 4329 = 0, 2*l + 481 = h*b + 2195. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (-1 + (-2 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2337)\/3135 - 6\/(-11)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*i**2 - 2*i.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - h - 7. Let n(z) = -z**2 - 2*z + 2. Let v be n(-4). What is the units digit of y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58420\/3 - 19473. What is the fourth smallest value in s, -3, -3\/7, -1\/12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2 + (0 + 0 - 2)*(5 - 3 - 1))*(66 - 6*l**5 - 86 + 53).\nAnswer: 6*l**5 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 10. Let v(o) = -x*o + 4*o + o. Let s(m) be the first derivative of -11*m**2\/2 + 3130. What is s(v(i))?\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 233342619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 376565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 830 - 742. Calculate the remainder when j is divided by 50.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*m - 11. Let v(j) = -j - 8. Give v(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 0.0297713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + 4 + (sqrt(16)*-2)\/sqrt(8) + sqrt(14)\/sqrt(28) + -3)*6.\nAnswer: -9*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 6735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - -4)\/(-20) + 663\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149192518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 v when three letters picked without replacement from {a: 5, o: 3, v: 1, z: 1, h: 4, m: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/13, -1, -0.5, 7756, 282?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 0*y)*(y**2 + 0*y**2 + 2*y**2 + 105*y - 105*y + 17*y**2 - 2*y**2 - 4*y**2 + 3*y**2 + (2*y + 0*y - 3*y)*(y + 0*y + 0*y)).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132 a factor of 33534245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1265795 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*j - 24. Let w(q) = -12*q**4 - 5*q**3 + 18*q. Let f(o) = -o**4 - o**3. Let l(n) = j*f(n) + w(n). What is the second derivative of l(d) wrt d?\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*((sqrt(320) - sqrt(320)*4)*3 - sqrt(320)))**2 + -5.\nAnswer: 12799995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20205, 40415, 60625?\nAnswer: 80835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - a + 4. Let p be (-2 - 0)*1\/(-4)*-2. Let u be -3 - (1*(-1 - p))\/2. What is w(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u - 11. Let z(x) = -23*x - 59. Let r(t) = 5*i(t) - z(t). Suppose -m - 2*m + 6 = 0. Let w(v) = v - 1. Give m*w(y) + r(y).\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.86 + 0.86. Put m, 2, -0.5 in increasing order.\nAnswer: m, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47032 - 47031.9560062. Let k = 0.044 - a. Round k to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*c + 79*c - 25 - 50 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - -1.5. Let g(p) = -p**3 + 3*p**2 + p + 4. Let j be g(3). Suppose -9*h = -j*h - 8. What is the smallest value in 0.5, h, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63930.57111 rounded to the nearest 100?\nAnswer: -63900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1045 + 1\/(4\/(-20)). Let y = 1283 - c. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*d**3 + 2028*d**2 - 3713953 wrt d.\nAnswer: -273*d**2 + 4056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 20*m - 15. What is f(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v**2 + 151*v. Let b(w) = 4*w**2 + 76*w. Determine 7*b(p) - 3*u(p).\nAnswer: p**2 + 79*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -303612 (base 7) to base 13\nAnswer: -1a730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 1\/10, 4\/7 in increasing order.\nAnswer: -6, 1\/10, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4528)\/2830*((-15)\/14)\/3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6389, 12779, 19171, 25565, 31961?\nAnswer: 38359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*l**5 - 2*l**2 + 187 wrt l?\nAnswer: -6660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/5214 and 77\/211285026.\nAnswer: 2324135286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 3*z - 25 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 9*a**2 - 9*a - 3. Let t be w(-8). Suppose -t*n = -m + 236, 4*n - 2*n + 448 = 2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkxmake. What is prob of sequence ta?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, 4\/7, 0.2, 19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*n + 17 + 5, 2*n - 20 = -2*v. Let x(f) = 1 + 3 + 2*f - 7. What is the lowest common multiple of v and x(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:40 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177608809 to the nearest integer?\nAnswer: 13327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -14. Let s = -11691 - -11686. Let g(x) = x + 27. Determine s*q(j) - 3*g(j).\nAnswer: -3*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-1 + 0 + 3)*(3*l**2 - 4*l**2 + 3*l**2)*(l + 3*l - 3*l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 23*n - 3*d = 29090, -4*d + 29076 = 2*n. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-71)\/(-71))\/((-4)\/32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by -5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -30*x + 12*x**3 - 13*x**3 + 5 + 29*x. What is the remainder when 13 is divided by w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 52 = 6*r. Suppose -18*h - r = -20*h. Find the first derivative of h - 2*w**4 + 3 + 3 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j = -23*j - 25800. Let l = 2151\/2 - j. Suppose 4*m - 12 = -4*z, 3*m = -0*z - z + 5. Which is the nearest to z? (a) 2\/3 (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15548758 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b0b7 (base 15) to base 3.\nAnswer: 11110121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.49446 and -0.5?\nAnswer: 0.00554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((13 + -1)\/4). Suppose 2*f - f + 27 = q. Let r = -8 - f. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -43, -5 in ascending order.\nAnswer: -43, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 0)*(-6)\/(-24)*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 != 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59643276.9999896 + -59643253. Let h = g - 24. What is h rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17056*m = -17044*m - 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96229 - 327*k + 5*k**3 + 96359 + 120*k**2 + 72*k.\nAnswer: 5*(k - 1)**2*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-8 - ((9 + -10)*5)\/1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645, 615, 585?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26101 + 3346?\nAnswer: -22533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/3 + 4*s**4 + 80*s**3\/3 = 0?\nAnswer: -4, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.227, 3.103, 1\/2 in decreasing order.\nAnswer: 12.227, 3.103, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x + 129 = 0. Suppose -t = 1, 4*u + 3*t = -0*u - 103. Let a = x + u. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 7*w. Let i(y) = 6*y**2 + 20*y - 1. Let j(a) = 11*c(a) + 4*i(a). Calculate j(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 18 = m. Let z = 447 + -290. Let q = z - m. What are the prime factors of q?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107329116 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, g: 2}. What is prob of sequence gmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 99*f**2 - 15*f - 83. Is u(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/27180 and -21\/60400.\nAnswer: 543600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 3}. What is prob of sequence uo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 c when four letters picked without replacement from zzkkgczczczczbkccbck.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:55 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*(i\/(i**(-2\/5)\/i))\/i*i*i**(-1\/4)\/i*i**(-6)*i**(1\/7)*(i*i\/i**(-2\/9)*i*i\/(i**(-1\/7)\/i*i))**(2\/31) assuming i is positive.\nAnswer: i**(-94741\/39060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(154\/(-1386)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 314095302 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16442*t**2 + 8221*t**2 + 8222*t**2 - 5941 - 4365 - 1183.\nAnswer: t**2 - 11489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = -14*v - 100. Suppose -27*c - v = -29*c. Solve -5*h + 4*o = o - 16, 3*h = c*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*f - 33606, 6*f - 11*f - 30 = 0. List the prime factors of g.\nAnswer: 3, 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10150283 by -143.\nAnswer: 70981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1\/(-4) + (1479\/(-12))\/(-17))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -25, 7, 1\/2, -0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4559417, -4559423, -4559433, -4559447, -4559465, -4559487, -4559513?\n\"Answer: -2*q**2 - 4559415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alhisscc. Give prob of picking 1 s and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/56)\/(((-780)\/(-32))\/(-13)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)*5 + (sqrt(315)*1)\/sqrt(9))\/(sqrt(10)\/(2*sqrt(200) - sqrt(200))))**2*6.\nAnswer: 1852200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3*w + w)*(-3 + 4 + 3)*(36 + 26 + 3) in the form q*w + t and give t.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/33, -8, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.3345 - -0.4905. Round f to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -53. Let d be 6\/10 + (-685)\/b. Let w = d + 8. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -24*m**3 - 195*m**2 + 3 + 197*m**2 + 23*m**3. Let v(q) = -q - 4. Suppose -5*d + 4 = 39. Let l be v(d). Calculate b(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y**2 + 11*y + 11. Let u(o) = 3*o**2 - 2*o - 2. Suppose b - 33 = 4*b. Let h = -125 + 129. Suppose -h = -3*i + 5*i. Determine b*u(f) + i*g(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6457 - 6331. What is the highest common factor of n and 1239?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129 + 4 + -9)*625\/(-1250)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -491860 or -55580084\/113?\nAnswer: -55580084\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d + 4*d**3 - 8*d + (-d**2 - 3*d**2 + 2*d**2)*(5*d - 2*d - 4*d) + (-7 + 7 + 3*d)*(-d**2 - d**2 - d**2).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/(-203)*21\/3)\/(-26)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*k - 314 = 0, -5*k - 227 = -4*l + 26. List the prime factors of (0 - 1 - l)*(-10 + 7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**4 + l - 2*l**3 + 0*l**4 + 12*l**2 - 9*l**2 - 10*l**2 as t*l**2 + x*l + j*l**3 + b*l**4 + o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*m - 448*m + 117306 = 0. Calculate the remainder when m is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -28, -34, -10, 56, 176, 362, 626?\nAnswer: 980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23901*h - 23904*h = 5*q - 302, -5*q + 304 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02182223 rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 0*x + 0*x)*(0 - 1 + 303173*x - 303051*x).\nAnswer: -122*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6952, -7372, -8502, -10696, -14308, -19692, -27202, -37192?\nAnswer: -50016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 4 + (-3 - -3). What is the greatest common divisor of 15 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-24)\/44 + 498\/66 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 3:16 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 + 147 + -53 + -85 + -1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22846706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 8*j = -18. Suppose -j*r = -5*r + 1. Does 12 divide -3*((-4)\/(-1))\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4) - (-13)\/(-52)) + (-16)\/(-128).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28526 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.03 - -1.23. What is the biggest value in h, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2 - 32*m + 30 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5\/3*j**3 - 1220\/3*j - 800 - 155\/3*j**2 = 0.\nAnswer: -20, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 j when four letters picked without replacement from pkpktjpjnpj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 2*v**7\/35 - 7*v**5\/60 - 5*v**2 + 4*v. Let c(i) be the first derivative of s(i). What is the third derivative of c(n) wrt n?\nAnswer: 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -5144045\nAnswer: -5144044.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 86277 = 6*f, 0*f - 57518 = -2*p + 5*f. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 3566472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25277 - -45207. List the prime factors of s.\nAnswer: 2, 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 247 + 78 = 0. Let d = 27 - q. Solve -5*a = d*z - a + 12, -20 = 4*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577454?\nAnswer: 2, 179, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-6)\/(-3) + -1). Solve -3*l + 2*m = -2*l - 8, 15 = -c*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(14)\/sqrt(2) + 1 + (sqrt(7) + sqrt(7)*2)**2.\nAnswer: -5*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -364012 divided by -91003\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 240 - 143. Suppose -4*b + r = 3*x + 2*x, 3*b = 5*x + 29. Suppose -5*q = -5*l - 22 - b, 2*l = 4*q - 26. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1089*i + 10880. Give n(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -2*c - 3*i + 23, c + 2*i = -18. Let q = 13 + c. Suppose -90 = -q*x + 42. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075.28726 rounded to the nearest integer?\nAnswer: 4075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -12. Let i(k) = -3*k - 9. Let n(r) = 5*r + 14. Suppose -6 = -3*b - 30. Determine b*i(d) + t*n(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 6*n + 1. Let j be y(-6). Let m(i) = -i**2 + 4*i + 3. Let d be m(4). Suppose -a - j = -d. Solve -3*r + a*r - 17 = 3*b, 2*r - 1 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 251640592?\nAnswer: 1258202960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-10)*-1*9 + (-402)\/(-45)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j - 5. Let p(b) = 10*b + 7. Let l(k) = 2*p(k) + 3*x(k). What is l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 - 1824*m - 7264 = 0. Calculate m.\nAnswer: -908, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 928 = 4*a, 7*g = 4*g - 12. List the prime factors of a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611*y = 2*q + 612*y - 2807, -4*q + 2*y = -5610. Calculate the remainder when q is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6469.02ml to litres.\nAnswer: 6.46902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1045677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 8. Let r be t(7). Let j = r - -7. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 5be812?\nAnswer: 5be80c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95582*r**3 + r**2 - r + 56882.\nAnswer: 573492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.09 times -0.4?\nAnswer: 4.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 7 + 23. Let v(i) = i + 1. Let l be v(-3). Put 5, f, l in increasing order.\nAnswer: l, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/10 and -69\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 3*d, m = -4*d + 19. Solve -3*k + m*c - 24 = -0, -5*k - 5 = 2*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177014*f + 177014*f - 354028*f - 786*f**2 + 0*f**3 + 4*f**3 + 786*f**2.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p = -3. Suppose s - p*s - 5 = -5*m, -10 = -5*m + s. Suppose 5*j = 5*t + m*j - 5, t + j = 8. Solve -4*o = f + 15, t*o + 2*f = 7*f + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5 - 0, 4*a + 251 = 5*p. Suppose -68*v + 612 = -65*v. What is the highest common factor of p and v?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17992 divided by -5?\nAnswer: -17992\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 2 + 0 + 28 + -77 + 36?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 6*v - 4. Let y be f(8). Suppose 0 = -3*n - 6*n + 36. Solve -8*d + n*d = y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.17 (b) 17 (c) 319 (d) -1 (e) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b + 11. Let c(p) = 17*p + 22. Suppose -72*w = -100*w - 364. Determine w*z(l) + 6*c(l).\nAnswer: -2*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0379 in -2.9, 0, -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9*1.96\nAnswer: 17.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1688*s**4\/9 - 1412*s**3\/3 - 15152*s**2\/9 + 16*s = 0.\nAnswer: -2, 0, 2\/211, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = -6*x. Solve 5*w = i + 20, x*i - 6*i = 5*w - 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1541 and 1675.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)*y)\/y*y*y\/(y*y**(-4\/17))*y*y**(-20)*y*y**(-1) assuming y is positive.\nAnswer: y**(-506\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183 and 2745.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 925 and 750.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(1\/11))\/b)\/((b*(b**(5\/2)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcwwwwwwcwcwcwwwwww. Give prob of picking 1 w and 1 c.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3739 minus -14?\nAnswer: -3725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -14400*o - 3\/4*o**3 + 384000 + 180*o**2 = 0. Calculate o.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(256) - -2*sqrt(256)) + sqrt(256))\/sqrt(2) + -4)*-4)**2 - (sqrt(112)\/(sqrt(7)*-3))\/(sqrt(8) - 6*sqrt(288)).\nAnswer: -430081*sqrt(2)\/105 + 33024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000110 (base 2) in base 6?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {l: 2, g: 1, r: 2, h: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-3)\/sqrt(4).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 626 = -3*j, -4*s = -0*j + j - 237. What is the highest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 3. Let g be w(0). Let n(l) = -2*l**3 + 0*l**3 + 2*l + 3*l**g - 5*l**2 - 4. Calculate n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/980*-14)\/(3\/7). Let 10\/3*c**v + 0 + 5\/3*c**3 + 0*c = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 27 + 6)*(-6*k - 2*k + 4*k) to r*k + p and give r.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 5. Let v(b) = 12. Let l(z) = 5*d(z) + 2*v(z). Let m = 5 - 12. Let o(h) = -9*h - 2. Give m*l(a) + 4*o(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*i + 76*i + 4*q = 12, 0 = -5*q + 30. Let f(w) = w. Let x(c) = 7*c. Let k = 1 + 0. Calculate i*f(u) + k*x(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 38661\/(-483) + (-2 + 18\/10)\/((-2047)\/445)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24716149\/8598 - -278\/1433. Let u = -2887 + n. Calculate the common denominator of u and -65\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 11 - 17 = 0. Suppose 34 = h*t + 5*w - 27, -3*t + 2*w = -26. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/176)\/(22\/16)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 22 + 10 + 2 - -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-2\/3)*r)**(6\/7))**(1\/14) assuming r is positive.\nAnswer: r**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**3 - b + 16797*b**4 - 8393*b**4 - 1 - 8393*b**4 to h*b**2 + x*b**3 + y*b**4 + r + v*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + g + 1. Let m(j) = j**3 + j**2 + j + 1. Let c(o) = 4*m(o) - 4*z(o). Factor c(p).\nAnswer: 4*p**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/(-36)*(-18)\/4. Let q be z\/9*(54657\/3 - 3). Suppose -5*b + 3835 = -q. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -1748.\nAnswer: 15\/1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j = -40. Suppose -j = -2*p + 5*l + 146, 5*l - 166 = -2*p. Let o = p + -58. Calculate the highest common factor of o and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + -57 + 49 - 65) + 14 + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 304 + 305 = 0. Suppose 291 = 7*x - o. What is the highest common factor of 36 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3240 - 526 - 49218 - 2572 + 2 - 2 + 1 + (3 - 2 - 2)*(3 - 4 - 1) - 3 + 2 + 0)*(-1 + 2*o + 1) to p*o + g and give p.\nAnswer: -98148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = 3*d + h, -28 = 4*d - 4*h. What is the smallest value in 3, -10, d?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727604 is divided by 31511?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0)\/(1\/4). Let r(j) = 7*j - 8. Calculate the lowest common multiple of r(t) and (-1)\/(-2) - (-105)\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let u(g) = -g - 58. Calculate y(u(x)).\nAnswer: x + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = g + 5*z, 1441*g - 5*z = 1444*g - 2 - 1 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/346485 and 25\/7137591.\nAnswer: 35687955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 9*o**2 + 14*o + 10. What is a(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50 - 53 - ((-80)\/4)\/2. Sort -79, x, 1.\nAnswer: -79, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0525 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*a + 15, -4*a - 12 + 43 = -5*x. Let v(u) = 5*u + 4. Determine v(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 6 = 10*h. Suppose 3*l - 21 = 3*w, h*l - 7 = 4*w + 13. What is the third derivative of -8*s**4 - 13*s**2 - 21*s**l + 16*s**4 wrt s?\nAnswer: -312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -43*s + 40*s + 6, -5*n + 5 = 4*s. Sort 10, -4, 4, s in ascending order.\nAnswer: -4, 4, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 56 - 21 = -4*r, -a = r - 8. Calculate the remainder when 97 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2 - -1*5. Let b = 2 + -6. Let w be 8\/32 + 1\/b. Solve n = -w*n + i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45885162 is divided by 1382.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 211*p + 209*p + 128623, 643175 = 5*s - 2*p. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k**2 - 6*k + 5. Let o be p(-2). Let j be 158\/(-316)*2*1. Sort o, 2, -2, j in ascending order.\nAnswer: -2, j, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28655416 or -28655423?\nAnswer: -28655416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x**3 + 92*x**3 - 21*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 533, 1218, 2181, 3428, 4965?\nAnswer: 6798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 31 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78412 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let k(p) be the third derivative of p**5\/20 + 4*p**3\/3 - 53*p**2. What is k(m(r))?\nAnswer: 3*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3220680 divided by -24\nAnswer: -134195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (0 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3921675 to 3 decimal places.\nAnswer: 0.392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*f + 28, f - 36 = -5*a - 13. Suppose q = 4*x - 0 - 7, -2*x - a*q = -31. Let r = x - 1. Solve r*n = 6*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 31*x**2 + 28*x + 73. Let w be d(30). Solve 3*y = 5*s - 22, 0 = -4*y + 2*s - w - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h + 4*h**2 + 22 - 19 + 2*h. Is a(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, u: 5, t: 8, n: 1}. What is prob of picking 1 n and 3 t?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = 5*i - 4, 3*i + 5*k - 10 = 0. Let s be (-3 - i\/(-1)) + -9. Is -12 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 7299943.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 14. Solve 2*d + 5*t = -d - 11, -u = -3*d - t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k**2. Let z(u) = 9*u**2 - 6*u**2 - 6*u**2. Give z(x(b)).\nAnswer: -243*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**5 + 2*a**4 - 551769*a**3 - 18818373*a**2 wrt a.\nAnswer: -180*a**2 + 48*a - 3310614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 20 = -c. Suppose -c*q + 4*v = -18, 7*v - 2*v = -10. Let x(j) = j**q + j - j. Let w(o) = -o. Determine x(w(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -411*5\/(-15 + 0). Suppose f = -0*f - j - 142, -f + 4*j = d. Let l = f + 276. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 88.63155 hours?\nAnswer: 319073580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/3, -2, -1742?\nAnswer: -1742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -252, -242, -232, -222, -212, -202?\n\"Answer: 10*f - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 221.6 and 0.4?\nAnswer: 88.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 22*d = 200 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 5*s + 8. Let z be y(-6). Let f = -2 + z. What is the derivative of f*n**3 + 4*n**3 - 7*n**3 + 3 wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1649 and -109\/122655.\nAnswer: 11897535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 409, 1, 1.3, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1327, 5.\nAnswer: -1327, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05933 times -25.8?\nAnswer: -1.530714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(3*j**2 + j**2 - 5*j**2) + 2*j**2 + 2*j**2 - 5*j**2 - 158*j**2 + 162*j**2 - 115 - 199.\nAnswer: j**2 - 314","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7 = -8. Let f(d) = d. Let g be f(v). Suppose -4*u + 4 = 2*a, 0*a - g*u + 3 = a. Let y(c) = -c**2 + 4. Give y(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 2, i: 1, x: 1, r: 1}. What is prob of sequence ddx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -4, 12, 48, 110, 204, 336, 512?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.202 in 1\/5, 1010\/29, 2\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 2*q**2 + 0*q**2 + (0 + 1 + 0)*(-5*q**2 + q**2 - 3*q**2))*(-q + 2 - 2).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-3) + 85\/(-15) + 5. Calculate the smallest common multiple of (5 + y\/(-4))\/(6\/16) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/6)\/(1\/2). Let q(p) = p**2 - 10*p + 11. Let o be q(9). Suppose 0 = o*m + 2*m - 16. Solve -m*v - h = -5, -2*v + v - y = 3*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, -17, -21, 13, 109?\n\"Answer: 4*c**3 - 17*c**2 + 5*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:30 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(-3 + 5 + (sqrt(2) + 0 + sqrt(2) + -3 + sqrt(2))*-2))**2.\nAnswer: -124416*sqrt(2) + 176256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 735 and 17101?\nAnswer: 256515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 18. Let q be (o\/(-5))\/((-1)\/(-20)). Let d = -1 + q. Solve 0 = -3*w + 2*j - d - 6, -4*j = 4*w + 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s. Suppose -u + 5*u - 16 = s. What is the third derivative of 5*i + 0*i**u - 2*i**2 - 5*i**4 - 5*i wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/23844137 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 104, -0.2 in descending order.\nAnswer: 104, -0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 - -1.5. Let v = -0.7 + 0.4. Let t = -0.2 + -0.8. What is the closest to 0 in v, f, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let w(y) = -2*y + 15. Let h be w(5). Suppose h*v - 31 = -16. What is x(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9\/10 of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12729 not equal to -12730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2*z = 0. Suppose 11*d - 12*d + 6 = z. Calculate the remainder when (3\/(-6))\/(2\/(-56)) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 69 + 53. Solve 8 = -4*h + 3*t, -2*h + 3*t = -p*h + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m + 1. Suppose s - 8 = 3*s. Let b be c(s). Let z = 47 - b. Solve v = i + i - z, 0 = -5*v + 2*i + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 190, 200, 232, 298, 410, 580, 820, 1142?\n\"Answer: 2*t**3 - t**2 - t + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -212 + 213.9. What is the nearest to 1 in 3, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34\/5 of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**2\/a)\/a)\/(a*a*a*a**(1\/34)))**(-2\/15) assuming a is positive.\nAnswer: a**(103\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -256 - -9765?\nAnswer: 9509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*s**5 - 37*s**2 - 48783*s wrt s?\nAnswer: -3180*s**3 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(-39)\/(u**(-7)*u*u**(1\/11)*u))**(-2\/13) assuming u is positive.\nAnswer: u**(960\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(304) - ((sqrt(304) - sqrt(304)*-2) + 5))**2.\nAnswer: 80*sqrt(19) + 1246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2093 and 49.\nAnswer: 14651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**4\/6 + 7*x**3\/3 + 8*x**2 + 3*x. Determine w(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 - 2*i**2 - 7 - 14746*i**3 + 29490*i**3 + 7 - 14748*i**3.\nAnswer: -4*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 0, 16 in increasing order.\nAnswer: -4, -3, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 7*t**3 + t**3)*(2 + 0 - 1)*(439*t + 2 - 421*t - 4).\nAnswer: -72*t**4 + 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*q - 6*o**2*r**2 - 2785*o*q*r**2 + 20*o*q*r + 406585*q + 68*r**2 wrt r.\nAnswer: -12*o**2 - 5570*o*q + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.3. Let u(n) = n**2 + 15*n - 77. Let v be u(-19). What is the nearest to 0 in v, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + t = 262 + 836, -u - t + 218 = 0. Suppose 3*x - 124 = -p, 6*p = 4*p + x + u. What is the highest common divisor of p and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569829203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -21*z - 1. Let o be q(-2). Suppose 5*p - 9 = o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a - a)*(-41*a**2 - 11*a**2 - 19*a**2).\nAnswer: -71*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20042577749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2814*a*g**3*k**2 - a*g**3 - a*k**2 - 105*g**3*k**2 + 3*g**3*k + 40838*g*k - 3*k wrt k?\nAnswer: 5628*a*g**3 - 2*a - 210*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p - p + 2*p - 4*p + 4*p - 2*p + (1 - 1 + 1)*(-5*p + p + 2*p) - p - p + p)*(-345 + 345 + 16*p**2) to f*p**2 + h*p**3 + i*p + g and give h.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9085 - -9079. Which is the third biggest value? (a) -1\/9 (b) o (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 = -b - 3*p, -b + 5*p - 20 = 0. Suppose b = -5*o + 11 + 19. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1089 + 4355\/4. Put 2, 2\/29, i, 5 in decreasing order.\nAnswer: 5, 2, 2\/29, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457807?\nAnswer: 7, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*c = 18 + 22, 4*w - 26 = -2*c. Suppose -w*z = 3*b - 5242 - 498, 4*z - 5*b = 5772. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2796454 divided by 53?\nAnswer: -2796454\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = c - 4 - 1, -4*c + y + 29 = 0. Solve 2*r + c = 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31508812381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 - 9*z - 38. Let r be (-6*1)\/((-3)\/8). Let v = r + -7. Calculate the remainder when x(6) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -75461272*q**2. Let a(n) = 2*n**2. Determine a(y(z)).\nAnswer: 11388807143715968*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8\/7)*c*c\/((c\/((c\/(c\/c**(-8)))\/c))\/c) assuming c is positive.\nAnswer: c**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2868085 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/309 (b) -1 (c) -0.5 (d) -0.4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + -124?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q. Let a(p) = 2*p**2 - 13*p + 13. Let t(z) = z**2 - 6*z + 6. Let m = 29 + -54. Let o = -19 - m. Let d(x) = o*a(x) - 13*t(x). Calculate d(h(i)).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 32*h - 22. Give s(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, -3, -97, -267, -537, -931?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*k - 9, 3*k = -t + 2 + 1. Suppose t*j - 78 = -30. Which is the third smallest value? (a) 2 (b) -3\/4 (c) j (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7075, -14150, -21227, -28306, -35387?\n\"Answer: -h**2 - 7072*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 11*k - 5. Suppose -23 = -5*q + 3*g, -4 = -0*q - 2*q - 4*g. Suppose -4*y = -3*t + q, 0 = -2*t - t - 12. Is b(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118*o**3 + 421*o**2*r**2 - 11*o*r**2 + 678*o*r - 5 wrt o.\nAnswer: 708*o + 842*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 114 (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 + z + 1. Let x(a) = -a**2 - a. Suppose 9*t = -4*t + 13. Give t*q(u) + 4*x(u).\nAnswer: u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 305 + 1249 = 0. Suppose -d = -51*a + 14*a. What is the remainder when 117 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173 + 173. Let y = 6 + -9. Let p = 1 + -3. Which is the nearest to t? (a) y (b) -2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 1271727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 - 3*k**2 + 4*k + 5. Let v(p) = p**2 + 22 - 5*p**2 + 5*p - 4*p**3 - 8 - 8. What is 6*s(g) - 5*v(g)?\nAnswer: 2*g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1.955773546354.\nAnswer: -2.455773546354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -547 - -3419\/6. Find the common denominator of s and (-4)\/(-10) + (-706)\/40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14112227*d**3 + 2*d**2 + 18164334.\nAnswer: -42336681*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 - 5003\nAnswer: -5002.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34869152.\nAnswer: 2, 1089661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -777\/8?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -11. Factor -8*x**4 - 2*x**2 - i*x**2 - 24*x**3 - 24*x**4.\nAnswer: -4*x**2*(2*x + 1)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*a - 29, 3*z - 3*a - 22 - 14 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**4 - 16*l**3 - 9*l**4 + 5*l**4 + 23*l**2 wrt l?\nAnswer: 48*l - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23376610 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 525560 (base 8) in base 16?\nAnswer: 2ab70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368 and 2576?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 u when three letters picked without replacement from rictucu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*306\/540)\/((-1)\/((-30)\/(-12)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -2056?\nAnswer: 3\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 356. Let a(v) = 5*v - 1423. What is 2*a(i) + 9*k(i)?\nAnswer: i + 358","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 - 4*g**2 + 2*g - 5. Does 23 divide l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = r - 13, 7*r + 16 = 2*z + 4*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*t = -4*p + 8, 4*t = -3*p + 17 + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7386 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + 0?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 30*z + 6. Calculate b(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 58 = -2*h - h, 2*j + 10 = 0. Solve 15 = -g + 4*f, -2*g - 3 = 4*f - h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 12. Give g(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*1*(-5)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158697244 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.7. Suppose -2 - 1 = -f. Which is the third smallest value? (a) v (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t + 5. Let f be a(5). Suppose -f*u = -3*h - 475, -4*u + 2*h + 274 + 108 = 0. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -523.9 - -498. Let j = z + 28. Let u = -0.9 - j. What is the closest to -2\/9 in -0.1, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 7172 - 9520 = 0. Let n = 4985 - g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403.0365 days to nanoseconds.\nAnswer: 34822353600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 9 = -17*a. Sort -5, a, 0.5, 18 in descending order.\nAnswer: 18, a, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -22*u - 1. Let o be c(1). Let i be 1\/3 + o\/(-3). Let a(j) = -176563*j**2 + 4*j. Let h be a(i). Round h to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-3))\/(((-6)\/(-2))\/((-171)\/(-114)))*48\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 3*t + 55 - 19*t**2 + 5*t + 18 - 34*t**2.\nAnswer: -53*t**2 + 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 2 - 0\/4. Let x be 73\/4 - 1\/4. Let s = x - w. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 0*o**3 - 4*o - 1 - 983*o**2 + 1971*o**2 + o**3 - 983*o**2. Let s(f) = -2*f + 5. Let a be s(5). Determine t(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-12) - (-1)\/(6\/(-1235)). Let y = 216 + k. Solve -2*g = 3*g - 2*f + 18, -3*g + y = 4*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.289954us in days?\nAnswer: 0.000000002491781875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3231*l - 5997 wrt l.\nAnswer: -3231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*i - t + 20, 0 = -4*i - 2*t + 30. Let o = i + -2. Solve -2*b = 2*b + o*z + 3, 2*b + z - 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/(8\/12*1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 11. Let p(u) = -u**2 - 2*u - 3. Let x be p(-2). Let y = 3 + x. Solve s*a + v + 11 = 3*a, y = 2*a - 4*v - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 422*m**2. Let x(r) = 6*r. What is s(x(v))?\nAnswer: 15192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/49, 3\/8, 20.25, -14?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2961, -11688, -26187, -46470, -72549, -104436?\nAnswer: -142143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13358500 to the nearest 10000.\nAnswer: -13360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -8, 50 = 4*k - 17*t + 20*t. Solve -3*m - k*m = -51 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/14)\/(10\/(-420)*6). Find the second derivative of -u**b - 32*u**4 - 7*u**4 + 29*u + 65 + 12*u**4 - 28*u wrt u.\nAnswer: -324*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.05, 1, -5\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 880 and 800.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggjj when four letters picked without replacement from {m: 2, g: 4, j: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -4 + -37040 + 1. Let y = l + 25779. Let o = y - -247927\/22. Find the common denominator of o and -61\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 + -3.56. Let m = 759.36 - 780. Let j = m + d. Which is the second biggest value? (a) 0 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvbb when four letters picked without replacement from vvvvvbvb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42399212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/236)\/(4\/(-752))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*20*18\/(-108).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 18*q**2 - 8. Let d be m(18). Let r be ((-6)\/d)\/(((-40)\/(-32))\/5). Suppose 118 = r*i - i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981028 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1. Let q(n) = 33*n - 3. Suppose -2*d = -3*d - 1. Let k = -315 + 313. Let t(v) = d*q(v) + k*f(v). Differentiate t(j) wrt j.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 3*t + 11*t - 3*t**2 + t**3 - 5*t**2 - 7. Let g be d(-9). Solve -w = -u - 2, 0 = u - 3*w + g + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:28 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 6*j**5\/5 + 13*j**4\/4 + 150*j + 31. Find the first derivative of m(u) wrt u.\nAnswer: 24*u**3 + 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 20 = -2*n. Let v = 1 - n. Let g(h) = -h**3 - 4*h**2 - h + 4. Calculate g(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*170\/(-8)*6\/10. Let c(s) = 5*s**2 - 4*s + 2. Let i be c(2). Let d = i - -20. What is the greatest common divisor of d and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 2*p**2 + p**2 - p**2 + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let i(z) = -2*z + 4. Calculate -i(c) - 4*n(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 62. Suppose -o = 7*v - v. Is (-4 - -1043) + 2 + 4\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3)*-4)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2*y - 1. Let w be m(-1). Factor -6*d + 13 - 3*d**w - 13.\nAnswer: -3*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*h = 4195, 5*b - 2*h + 840 + 3383 = 0. Let o = b - -1291. Is 56 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-36)\/150)\/6*-25)\/((-1)\/(-232)). Calculate the greatest common factor of 290 and d.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207435 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81 + 2?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 + 2*a**2 + a + 3*a**3 - 3*a**3 + 0*a to n + v*a + o*a**2 + t*a**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4170766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.05437*-0.5\nAnswer: 0.027185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3313*m + 1097*m + 1044*m + 963*m.\nAnswer: -209*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.7, 11\/49, 62, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 975 divide 4717050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**8\/112 - 11*w**7\/350 - 3*w**6\/200 + 11*w**5\/100 - w**4\/20 - 12*w**2. Determine c, given that q(c) = 0.\nAnswer: -1, 0, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1328 - 3*n + 5*n**2 - 40*n**3 - 1141 + 5*n**2 - 10*n**2 wrt n?\nAnswer: -120*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1998, 1837, 1676, 1515, 1354, 1193?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497870669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11121120101210 (base 3) to base 7\nAnswer: 26561310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2 - 3 + 54*c - 55*c. Calculate i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, and 2 i when four letters picked without replacement from iipizpwpppzeiwiazwi?\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(4\/5))\/(l*l**20\/l) assuming l is positive.\nAnswer: l**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4344811811 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 434, 322, 30, -532, -1454, -2826, -4738, -7280?\n\"Answer: -15*f**3 - 7*f + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -24190921?\nAnswer: -2419092.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 5*i + 1. Let a = 5 + -1. Let y be u(a). Solve h = -0*h - y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/(-5 - -1))\/(-2). Suppose 2*u = 2, 82 = -n*r + 2*u - 0*u. Let l = r + 18. Solve 0 = -4*c + 3*y - l*y + 12, -3*c + 24 = 3*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17e - e46?\nAnswer: -10c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 - 3029*t**3 + 185 + 3069*t**3.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/5, 4, -2\/13, -3, 2, 0.039?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) - 20\/36?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -20. Which is bigger: 23 or n?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145.4 + -145. What is the smallest value in -2, -17, 3\/2, n?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2185203 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 1*sqrt(187) - sqrt(187) - sqrt(187))\/sqrt(11) + 0 - (4*(sqrt(85) + (sqrt(85)*4 - sqrt(85)) - sqrt(85)))\/sqrt(5).\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgff when four letters picked without replacement from {d: 3, g: 1, q: 4, s: 1, t: 1, f: 5}.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*2\/(-4) + 0. Suppose -6 = 2*n, -n + 10 = u*r - 17. Let w be (3 + 0)\/18*r. Do w and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36766 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -22221231?\nAnswer: -22221300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from oggyppp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.13 (b) -335 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/35)\/(19\/3)*(-308)\/(-462)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/242 (b) 0.22 (c) 4\/67 (d) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 13*i**2 - 15*i + 15. Let u be w(15). Let m be (-11 + u)\/(1 + 0). Suppose -5*r + 1114 = m. What are the prime factors of r?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -125\/4, -4\/6617, -5?\nAnswer: -125\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/3, 122, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from {w: 4, i: 3, c: 1, s: 10}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -513*q**3 + 5*q**2 - 18*q - 69. Is d(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l - 1. Let f(t) = -46*t**3 - 17*t - 6. Let s(i) = -6*b(i) + f(i). Find the second derivative of s(o) wrt o.\nAnswer: -240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732584?\nAnswer: 2, 91573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79.58 + -49.41. Let k = 10.11 - z. What is k rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283766697?\nAnswer: 8221, 156157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2079\/2 + 160035\/154. What is the common denominator of l and 5\/77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181*b**3*c**4 - 86*b**3*c**2 - 2*b**3 + b - 2*c**6 - 223*c**3 - 5896*c**2 wrt c.\nAnswer: -4344*b**3*c - 240*c**3 - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19179, 38833, 58489, 78147, 97807?\nAnswer: 117469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -m - 2*x, 3*m - 3*x + x = 25. Suppose 8*l = m*l. Let u be 32\/(-48)*(1 - 7). Solve k + t + l = -5, 0 = u*k + t + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 + -15.4. Let p = 17.9999882 + l. What is p rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + 6*u. Let y(n) = -n**2 + n. Let f(d) = t(d) - 3*y(d). Let s be f(-3). Suppose -180 = -5*p - s*p. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 49*u + 1. Let k(m) = -48*m - 1. What is 3*k(p) + 4*q(p)?\nAnswer: 52*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 12 - 12)*(-27 + 27 + 772*d - 2262*d).\nAnswer: 1490*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + 30*u = -27355. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.6 - 23.6. Let h = -0.1 - 0. Let r = h - -1. Which is the third smallest value? (a) r (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001000000001011011 + -111?\nAnswer: -11001000000001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/9, -3, 6274, 6\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 310*a**2 - 2*a. Let c(k) = 1543*k**2 - 11*k. Calculate 2*c(g) - 11*r(g).\nAnswer: -324*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.5 (b) -2 (c) -3 (d) 4\/5 (e) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**3)**11)**36)**(11\/9) assuming x is positive.\nAnswer: x**1452","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 41 = 23*o. Suppose -w - 29413 = -2*m + 2*w, 0 = -m + o*w + 14709. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/30 - 4*r**2. Let m(l) = -3*l. Calculate m(q(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5729 is divided by 65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(88) + -2*sqrt(198))\/((sqrt(88) - (-1*sqrt(88)*-2 + sqrt(88)))\/sqrt(8)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + d**2 - d - 27. What is o(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*v + 47*v - 3*z + 72, 2*v - z = 96. What is the remainder when 4317 is divided by v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 302238*x - 302238*x + 3796*x**3 + 3552*x**2 wrt x?\nAnswer: 22776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -888*l + 898*l - 30. Determine n, given that 9\/7*n**2 + 0 - 2\/7*n - n**l = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/12 - 3*j**2\/2 - 15*j. Let s(q) be the third derivative of q**4\/24 + 5*q**3\/3 + q**2. Let a be s(-7). Give l(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/26481895 and 127\/444895836.\nAnswer: 2224479180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101100?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -631 - -662. What is the third derivative of 46*a**3 + 12*a**3 - 26 + a**2 + v*a**3 - 188*a**3 wrt a?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-55)*75\/(-1260) + (-2380)\/9555.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -3, 1\/4, -2\/15, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-2*m + 0*m + 0*m) - 25 + 25 - 5*m + 3*m + 2*m - 7*m + 3*m + m - 2*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 1822, 704 in descending order.\nAnswer: 1822, 704, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2 = -2*v + 10, 12*v = 4*t + 48. Solve -21*b + 143 - 17 = t for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -331?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4 - 36\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -3*z**4\/4 + z**3\/3 + z**2. Let f be y(2). Let m = -115 + f. Round m to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 10. Let i = -7 + 2. Which is the nearest to w? (a) -1\/5 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348430 is divided by 16591.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48093 or -524.3?\nAnswer: -524.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1064536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 322 - 121. List the prime factors of y.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = 4*c - 11, 2*c - 2*r + 2 = 0. Suppose 5*l - 155 = -0*l - f, 0 = -c*l - f + 65. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 1 - 1 + (0 - 5 + 4)*(13*p + 19 - 19).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 6*i + 13838400000. Suppose -49*s = -40*s - i. Round s to the nearest 1000000.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 18, 5 in ascending order.\nAnswer: -5, -2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 49 + -47 - (1 - (-10)\/8). Which is bigger: -5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748147735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, 2, -1, 0.2, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - 2.06. Let l = 1 + t. Let d = l - -2. What is the nearest to 0.1 in 3, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -28, 226178, -5, -4.\nAnswer: -28, -5, -4, 5, 226178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14038933253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 0.6 (c) 0.5 (d) 0.395 (e) 0.4 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100101 + 100?\nAnswer: 1010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 - 5*y**2 + 3 + 3 + 3.\nAnswer: -5*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/29)\/w*w\/((w\/(w\/w**(5\/3)))\/w)*(w*w**(-5)*w)\/w**(-7) assuming w is positive.\nAnswer: w**(296\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:36 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((1 + sqrt(891))*3 + 1)**2 + -5 + 3)*-4.\nAnswer: -32128 - 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.2 + -1.2. Let l be 36\/70 - (-4)\/14. Let f = 0 - -0.2. Sort r, f, l in decreasing order.\nAnswer: r, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -53*z. Let c(d) be the third derivative of d**5\/30 - 7*d**2. What is f(c(j))?\nAnswer: -106*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001011212 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b. Let g(n) = -5*n**2 - 10*n + 179. Let s be g(-7). Let w(x) be the second derivative of 35\/6*x**s + 0*x**3 + 0*x**2 - 9 - 3*x. Determine h(w(d)).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + -4.3. Suppose 0*d - 2*d + 76 = 0. Let j = d - 416\/11. Which is the biggest value? (a) j (b) -1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/16*2*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-4)*(-1)\/(1\/4). Let k = p - 10. Let f = k - -5. Solve -z + f = -2*m, z - 2 = -0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*k + 478 - 62, -396 = -5*c - k. Let p = c + -22. Find the common denominator of p\/63 - 8\/(-36) and 59\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose 528 = 6*g - 2*g. Calculate the common denominator of c\/(-8) - 57\/g and 1\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 14. Put -1, k, 3 in decreasing order.\nAnswer: 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -149, -71, 67, 271, 547, 901, 1339, 1867?\n\"Answer: o**3 + 24*o**2 - o - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 3, x: 1, m: 2, e: 1, z: 3}. What is prob of picking 1 h and 1 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-162)\/(-30) - 2\/5. Suppose -5*y + 0*y = -3*n - 196, -y + 4*n = -46. Suppose z*g - 98 = -y. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2231.\nAnswer: -3\/2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 5*z**4\/24 + 103*z**2. Let o(c) = -23*c**2. Determine k(o(d)).\nAnswer: -115*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**2 - 9*g**2 + 7*g**3 + 7*g**2 + 4*g**2 wrt g.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06688092 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -21, -36, -49?\n\"Answer: o**2 - 20*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536.707us to seconds.\nAnswer: 0.000536707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2562*k - 2304*k + 16770 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = 18*y + 73 + 158 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -952769*a**4 - 298961*a - 4.\nAnswer: -11433228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.04 - 0.04. Let r = 7309 + -7314. What is the nearest to r in -3, -2, 8\/3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 24*p - 60. What is the remainder when 177 is divided by y(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = 18*m - 826. Suppose -13*n + 10*n + 51 = 0. What is the remainder when m is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3000136 - -0.3. Round q to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -11*n**5\/120 + 13*n**4\/24 - 11*n**3\/6 + 10*n**2. Let d(o) be the first derivative of y(o). List the prime factors of d(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.2. Suppose -2029*r - 3 = -2028*r. What is the smallest value in k, -4\/25, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 2, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/((-42)\/(-9) - 5). Let u = -47 + s. Solve -5*t - 16 = u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274*k**3 + k**4 + 311*k**3 - 2 - 131*k**3 + k + 0*k**4 to x*k**2 + v*k + f*k**4 + z + r*k**3 and give r.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (12 + -8 - (12 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*d + 8. Suppose 5*m = -7*w + d*w + 3074, -4*w = m - 3082. Suppose -c + w = 4*q, -3*c - q + 2302 = -0*q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-39 - -18)) + (5 - 79)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5 + 3566*n**4 + 63944*n**3 + 283822*n**2 - 63945*n - 287388 = 0. Calculate n.\nAnswer: -3548, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -5*p**2\/2 + 4*p + 6. Let z be m(-4). Suppose 0 = -7*h + 20*h - 780. Calculate the greatest common factor of z and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + 4. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0591 - 28.3591. Let u = y - -79.4. Let d = 51 - u. Which is smaller: -22 or d?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/30 - 396\/(-10)) + 2. What is the remainder when 579 is divided by r*(-4)\/(-24)*3 - 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2 - 3*q - 3 + 1. Let v(l) be the first derivative of -l**3\/3 + 1. Calculate f(v(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 6, o: 3, x: 2}. What is prob of sequence ywo?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 13*m**2 - 12*m + 11. Let k be l(10). Let d = 270 - k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 + 11 = -f, f - 3 = -2*s. Suppose -3*k + 1087 = 2*t, -s*k + 0*k + 4*t = -1416. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 473 - 4249\/9. Solve 8\/9 + 2\/9*k**2 + o*k = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2 - 2*z. Suppose 2*y - 4*y = 12. Let v be m(y). Calculate the highest common factor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 2, x: 2, g: 1, y: 1, c: 1}. Give prob of picking 1 m, 1 y, and 1 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(242) + 5*(sqrt(242) - -1*sqrt(242)))**2*2 + 6*(0 + sqrt(242) + -2*sqrt(242) + (sqrt(242) + (sqrt(242) - (sqrt(242) - sqrt(242)*-1)))**2*-3).\nAnswer: 2354*sqrt(2) + 58614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -52\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 328128569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16956588 to the power of 1\/2, to the nearest integer?\nAnswer: 4118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2472127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 - 31*f - 7*f + 74*f.\nAnswer: -11*f**2 + 36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.036829 + -4.036829. Let p = -370 - -6286\/17. Which is the biggest value? (a) y (b) 0.05 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 628052 = -178380 + 5085336. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**5 - 7*o**3 + 6*o**2 - 7*o. Let x(h) = -6*h**3 + 5*h**2 - 6*h. Let q(m) = -6*u(m) + 7*x(m). What is the third derivative of q(j) wrt j?\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*q + 40 = -109*q. Let x be (-12)\/(-4)*21\/9. Suppose 3 = 4*h - x*h. Sort 2, -4, h, q in descending order.\nAnswer: q, 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.06 + -16. Put 4, -0.4, m, 0.4 in decreasing order.\nAnswer: 4, 0.4, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 143 or 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 49, 82, 113?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, -1, -1168, -7 in increasing order.\nAnswer: -1168, -16, -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 12:42 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2768722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 - 0) - (-318 + 319)) + 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3084 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (210*x - 2 + 0 - 202*x)*(-5*x**2 - 49*x + 49*x)*(-3 - 1 - 5) in the form h*x + c*x**3 + t + z*x**2 and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 525\/2 - 264. What is the nearest to -1\/5 in x, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.002318.\nAnswer: -0.006954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0 - 217*c**2 - 65\/4*c**4 + 1\/20*c**5 + 4225\/2*c**3 + 0*c. Let v(d) = 0. What is d?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1952948 + 6413551. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**4*m*w - 2*j**2*m - 2*j*m*w - m*w - 66*w - 1 with respect to j.\nAnswer: -20*j**3*m*w - 4*j*m - 2*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 8*v + 10. Let f be w(7). Let c(a) = -a**2 + 5*a - 3. Let s be c(f). Suppose -j - 2*i = -85, -j - s*i = -3*j + 184. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -65.\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 + 122 + 125 - 373 - 83*w**2.\nAnswer: -83*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*2 + -1 - (-1 + 2*sqrt(832)))*6 - (3*(sqrt(832) - (sqrt(832) + -1)) - (sqrt(832) + sqrt(832) + 1 + 4))**2)*-4.\nAnswer: 256*sqrt(13) + 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4380641 or -4380639?\nAnswer: -4380641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 71.93575 meters?\nAnswer: 71935750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 64673851.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(-1400)\/2275\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/3*a - 1\/3*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p. Let s(q) = 2196*q**2. What is b(s(m))?\nAnswer: -8784*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14566 - -39.94634. Let v = o - 0.092. Let g = 40.0071 - v. Round g to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h + 6*h + 3*h)*((2*h**2 - 4*h**2 + 4*h**2)*(-h + 2*h + 0*h) + 5*h**3 + 7417*h - 7417*h) to p*h**3 + z + c*h**4 + k*h + b*h**2 and give c.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 896.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/24)\/((-3)\/(-117)). Suppose l*p - 14724 = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1274 - -1287. Let z(l) = 2*l - 19. Give z(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(50) - sqrt(250)\/sqrt(5))\/sqrt(10) - 1*sqrt(500)))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8394, 8398, 8404, 8412, 8422, 8434, 8448?\n\"Answer: q**2 + q + 8392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*a + 12 = 0, -4*o - 3*a + 5*a + 8 = 0. Let c be (4\/8)\/(o\/32). Suppose c*m = 6*m. Solve m = -4*i + 7 + 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k - 6. Let y(a) = 8*a + 5. Let q(h) = 6*s(h) + 5*y(h). Let u(p) = 4*p + 6. Give 6*q(i) + 11*u(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a hour in minutes?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**3 + 4*i**3 - 10*i**3)*(-3 + 0 + 5).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -2, -4\/7 in ascending order.\nAnswer: -14, -4, -2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 16) in base 15?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-16 + 10 - -13)) + 10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 10:36 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4, -0.3, 6790?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32\/6144*32*-51\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -35*y + 29. Factor 1\/3*w**y - 1\/3 + 1\/3*w**2 - 1\/3*w.\nAnswer: (w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10626441191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27\/2 + 14. What is the closest to f in -2\/21, -2, 5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c. Calculate a(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 183121344 divided by -756\nAnswer: -242224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-63))\/(1*56\/(-252))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-300)*1*3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4245 + 2*h**2 + 194 + 0*h - 4*h + h.\nAnswer: 2*h**2 - 3*h - 4051","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 + d**2 - 2*d**2)*(-3 - 1 - d - 2*d + (5 - 5 + 4*d)*(-1 - 1 - 1)) as t + y*d**3 + i*d**2 + b*d and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1921 + 2217 + 8*d**4 - 18*d**4 + 2*d**2 wrt d.\nAnswer: -40*d**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -12. Let b be 1\/i*2\/11. What is the closest to -1 in b, 2\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 147*d**4 - 63*d**3 - 366*d**2 - 180*d - 24 = 0. Calculate d.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlss when four letters picked without replacement from {s: 5, w: 2, l: 2}?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 502 + -959\/2. Suppose -4*z = -4*f + 10928, 3*z = z - 2*f - 5448. Let a = 27199\/10 + z. Find the common denominator of a and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w + 6. Solve 2*v = v + 3, 0 = 4*u + w*v + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 7. Let g = 59638 - 59640. What is the smallest value in x, g, 2\/7, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2305 and 2395817.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 20090.764?\nAnswer: 261179.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16952464*r*x + 7389986*r wrt x?\nAnswer: 16952464*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -423\/4 - -106. What is the second biggest value in -2\/9, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -418961118*-0.2\nAnswer: 83792223.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277720 and 58295?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22287228 by -31084.\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 17601*k + 1847. Let y(s) = 3*s. Give b(y(h)).\nAnswer: 52803*h + 1847","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 367704*z + 367702.\nAnswer: 2*(z - 183851)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -121 (b) 4 (c) 0.01556\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*p**2 + 12 - 60 + 31 - 2*p + 2*p.\nAnswer: -47*p**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/5 and (-228)\/33*(-4)\/8.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 36*c**2 - 28*c + 63. What is the hundreds digit of n(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**6\/y)\/y**(-43) assuming y is positive.\nAnswer: y**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -b7771?\nAnswer: b7779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 139062 and 18.\nAnswer: 417186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Suppose 5*w + 35 = 30. Let h = d - w. Do h and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.906 (c) 27 (d) -0.2 (e) -2\/11 (f) -1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 595*b + b**2 - 595*b + 0 + 0. Let s(z) be the second derivative of -z**7\/35 - 5*z**4\/6 - 8*z. Let l(d) be the third derivative of s(d). Give c(l(k)).\nAnswer: 5184*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 232748?\nAnswer: 2560228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -10*b + 110. Suppose -40 = -b*x + 232. Calculate the remainder when 79 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from yigicycgyicycd?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyp when three letters picked without replacement from {p: 5, y: 3, z: 8}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/2, -82, 2.1, -2?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5551733713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*x + 36, 3*n + 3*x = -182 + 149. Factor -3\/2*j**n - 15 - 21\/2*j.\nAnswer: -3*(j + 2)*(j + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 25*f**2 - 13*f + 15. Let m be l(-12). Suppose -m = 9*t - 54. Solve -3 - 6 = t*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -3\/2, -960\/17, 2\/7, 0, 6 in decreasing order.\nAnswer: 6, 2\/7, 0.02, 0, -3\/2, -960\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.99 - 17.01. Let p = -2296 - -2299. Which is the third smallest value? (a) p (b) q (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -797900 divided by -202\nAnswer: 3950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -28, 10 in increasing order.\nAnswer: -28, -4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-13)*k**2*(k**(1\/7))**(-33) assuming k is positive.\nAnswer: k**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1977 and 15160295.\nAnswer: 45480885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 7*c - 23. Determine s(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 3*h + 3*x + 355, 5*x = -h + 83. What is the second derivative of 84 + 7*g**4 - g**5 + g**4 - h - 20*g wrt g?\nAnswer: -20*g**3 + 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 6:59 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 15) to base 2\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 320945895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**1))**(-1\/4)\/(f\/f**(-1\/7)*(f**(-7\/3)*f)\/f*f))**(-3\/5) assuming f is positive.\nAnswer: f**(-37\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-111)\/2*(-52 + 54). Let c = p + 113. What is the closest to 2\/3 in -4\/5, 12, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecjej. What is prob of sequence cjj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 9*z + 2. Let x be m(-9). Suppose 0 = -3*t - 9, o - x*t = 3*o + 6. Let r(n) = n - 4. What is r(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 7920?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -9. Suppose 87 - 24 = -k. Let d be 14\/k - (-13)\/l. Which is the biggest value? (a) 0 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 3. Let u(b) = -b**2 + 10*b - 14. Let n be u(7). Suppose n*v + 6 + 22 = 0. Determine g(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/((-6)\/(-8)). Suppose 5*q = 25, -2*q + 0*q + 9 = -g. Let v(a) = a**2 - 2 + 3 + g. Calculate v(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13123*d = -12911*d - 13780 for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -30565, -165, 4 in ascending order.\nAnswer: -30565, -165, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3534 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.9 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37 + 11\/(-2) + (-3)\/(-2). What is the highest common factor of 1727 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*m**5 + m**2*p - 2*m*p + 2*m + 97*p wrt m?\nAnswer: -600*m**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 7}. What is prob of sequence rr?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 5. Let w(f) = 4*f**2 - 8*f + 1. Let z(s) = -s**2 + s - 1. Let t(l) = c*z(l) - w(l). What are the prime factors of t(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaqqahlpiahahqa. Give prob of picking 1 i and 3 q.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 201 - 234 = 319. Suppose 3*r = m + 2*m - 105, -117 = -3*m - 3*r. Calculate the remainder when m is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002216726713 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1549.544 to the nearest integer.\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23611461 (base 7) to base 14.\nAnswer: -3ca9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -195 (c) 1466 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*q - 71, 27 = -4*q + 4*a - 33. Let b(r) = -19 + 8*r - 2*r + 2*r + 5*r - 17*r. Is b(q) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-8))\/((-3)\/12). Suppose -2*g + u*f + 12 = -6*g, -g - f = 3. Suppose 4*n + 4*r = 4, 0*n + 2*n + 5*r = 11. Put -1, g, n in ascending order.\nAnswer: g, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22350849 * -8\nAnswer: -178806792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191056091*q**3 - 56816320*q**2?\nAnswer: 1146336546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*w**3 + 1144*c**3*w**2 + c*w**2 - 5125*w**3 + w wrt w?\nAnswer: -12*c**3 - 30750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:01 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25795463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**21\/(y\/y**(2\/59)))\/(y**(-4)*y*y**(-12)\/y))**(-6\/7) assuming y is positive.\nAnswer: y**(-12756\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 329 - 324 = -5*q, 0 = -7*q + 5*r + 41 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t - 2. Calculate the remainder when p(2) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*j**2*w**2 - 12*j**2*w - j**2 - 261*w**2 wrt j?\nAnswer: 80*j*w**2 - 24*j*w - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8)**(-6)\/(b**(4\/7)\/b**(-1)))**(1\/5) assuming b is positive.\nAnswer: b**(-347\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23745, 94996, 213807, 380226, 594301, 856080?\nAnswer: 1165611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m**3 - 5*m**3 + 25*m**3 + (m**3 + 0*m**3 - 2*m**3)*(-1 - 4 + 3) - 2*m**3 + 3*m**3 + m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*t = 12, -2991*t + 23 = -4*g - 2988*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 27*t**2 + 3*t + 15. Let n(i) = i**2 + 1. What is -15*n(y) + v(y)?\nAnswer: 12*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 705 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-80)\/15*(-42)\/4. Let k be t\/(-9) + (-6)\/(-27). Does 31 divide ((-201)\/k)\/((-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 20*f + 203. What is the tens digit of m(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1057.8, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 + 11.16. Let k = r + -6. What is the closest to -0.2 in -5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*r - 2. Suppose n = 3*y + r*n, -5*y - n = 0. Let j(p) = -p**2 - 5*p + 7. Let o be j(-6). Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -4 (c) -9 (d) -33.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 + 213. Suppose -3*m + 3*v = -45, -2*m + g = 3*m - 2*v. Suppose -7*p + 59 = -m. Solve t = -2*u - 9, 0*t = 2*u + 2*t + p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 680735?\nAnswer: 2722940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -1, -2, -4200.\nAnswer: -4200, -40, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6 - 6*g**3 + g**3 - 8 wrt g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211 * 4\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x - 1. Let a(f) = 4*f. Let k(d) = 7*a(d) - 3*p(d). Let b be 294\/245 + (-703)\/(-185). Determine k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0 + 0)*(2*n - 4*n + 3*n) - 90*n**2 + 472*n**2 + 250*n**2 + 1.\nAnswer: 630*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 221*h**7 + h**5\/5 + 318*h**3 - 2477. Find the third derivative of o(i) wrt i.\nAnswer: 185640*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10100?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpe when three letters picked without replacement from {p: 1, v: 1, k: 2, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, c: 4}. Give prob of picking 3 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2. Suppose -2*p = -2603*n + 2601*n + 2, 39 = -6*n + p. Let x(z) = 2*z. Let y(d) = -d**2 + 5*d. Let g(q) = 5*x(q) - 2*y(q). Give n*t(m) - 5*g(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -11. Suppose -2*a = 4*q - n*a + 20, 2*a + 10 = -q. Let r = -8 - q. Which is smaller: -6\/11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20031 (base 4) to base 2.\nAnswer: 1000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 158678537 to the nearest 100000.\nAnswer: 158700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*q + 7, -4*q + 2 = -2*n + 4*n. Let s be 0\/((2 + q)*-2). Suppose -99 = -2*g - 3*g - 3*j, 4*j + 8 = s. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/7 (c) 2 (d) 465 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.6. Let i be 340\/(-100) + (0 - 1). Let j = i - -4. What is the biggest value in 3, j, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 16 + 0*c**2 + 2*c - 31\/20*c**5 + 0*c**3 - 1\/6*c**4. What is the third derivative of a(n) wrt n?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a factor of 4069247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1088)*3*3 - sqrt(1088) - sqrt(1088) - 4*2*sqrt(1088) - 2*((sqrt(1088) - (-1 + sqrt(1088)*-1)) + -2))**2.\nAnswer: -960*sqrt(17) + 163224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99535 + 8.\nAnswer: 99543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23 + 3 + -1 + -4. Calculate the greatest common divisor of n and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1941645? (a) 2 (b) -4 (c) -4\/7 (d) 1\/4 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*l - 5*c, -1 = -2*l - 3*c + 4. Let m(k) = -8*k**3 - 4*k**2 + k + 5. Let q(w) = -9*w**3 - 5*w**2 + w + 6. Give l*q(p) + 6*m(p).\nAnswer: -3*p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*j - 2*f - 1 = 0, -5*j + 3*f = 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -3*n - 2*i, 5*n + 4*i + 176 = 3*i. Let m be 60\/(-14) + (-10)\/n. What is the remainder when (-18656)\/(-288) - 1*m\/18 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/4 of a gram in milligrams?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 36 + 18 + 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -445 + -4?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240272*g**2*s + 8*g*s**3 - 4891587*s**3 with respect to g.\nAnswer: 480544*g*s + 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-10)\/8) + (-1720)\/(-20). Let g(m) = 17*m + 122. Let u be g(-4). Calculate the highest common factor of v and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0*u**2 + 2219 - 2218 - 4*u**4)*(-6*u + 4*u + u).\nAnswer: 4*u**5 + 2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10214121 (base 5) in base 9?\nAnswer: -140300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 3*d - 5. Let c(y) = 6*y**2 - 10*y - 16. Give 2*c(w) - 7*i(w).\nAnswer: -2*w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111045 less than 7?\nAnswer: 111052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h + 3*i + 28 = 0, h + 2*i = 0. Suppose -110 = -h*b + 3*b. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 37. Suppose 4*h = k - 0*k + 20, c = 5*h - k. Solve -20 = -5*j - h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.66 rounded to 0 dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 1, 11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24026.44mm to kilometers.\nAnswer: 0.02402644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 144372 (base 8) to base 2\nAnswer: 1100100011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 15*h + 12 = 0. Let r(u) = u + 10*u**2 + h*u + u - u. Let c(a) = 2*a**2. What is r(c(s))?\nAnswer: 40*s**4 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2382 - -8392?\nAnswer: a764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 78. What is the remainder when 82 is divided by s(32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-3)\/((-99)\/16296) + (-424)\/(-2332) and 130?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 3*c**2 + c + 4. Let r be h(-3). Suppose 0 = p - r, 5*x + p - 117 + 11 = 0. Calculate the smallest common multiple of 12 and 4\/(-6) + 98\/x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 3:31 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 + 71*y + 35. Let c be s(24). Calculate the greatest common divisor of 264 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 - 2*x**2 + 2*x - 4*x**3 - 2*x to u*x + w*x**3 + d*x**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 16*a + 17*a - 11, -5*v = 3*a + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by -1985086?\nAnswer: -123\/1985086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u - 9*u + 4*u)*(5*u - 8*u - 10*u) + 48 - 2*u**2 - 48.\nAnswer: 141*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1005*u + 1098*u + 3 - 2101*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j - 18. Suppose -153 - 11 = -41*v. Determine k(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2627799.6 months to millennia.\nAnswer: 218.9833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -4.3?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 9. Suppose o = c - 6. Let q = -4 - o. Is -1\/2 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5531*g**3 + 4 + 5534*g**3 - 4.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a + 5*g - 105, -3*a - g = -53. Suppose 5*y + 3 = 2*y, -4*y + a = 5*l. Let p(z) = z**2 - 5*z + 7. Calculate p(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 4\/15*u**3 - 37 - 2*u**2 + 1\/75*u**5 + 0*u - 1\/10*u**4. Determine v so that b(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together 1029 and 212.839287.\nAnswer: 1241.839287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 36130299\nAnswer: -32517269.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4893 in -0.15, 2.6, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0287 smaller than -23.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371 is divided by 274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-2)*48\/(-240)*-4. Let k(p) = 5*p. Let r(t) = 13*t. Give j*k(s) + 5*r(s).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 - j + 2. Let u be r(-3). Let b = u - -62. What is the remainder when b is divided by 6 + (1 - 2) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(126\/15)\/3. Suppose -2*t - 3*d - 1 = 8, -28 = 5*t + 2*d. Let h = l - t. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116.9998 + 0.0002. Which is bigger: 1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*x - 2*x + 228 = 0, -5*z - 5*x = 285. Round z to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 10:06 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -72*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y + 3. Let j(f) = -7*f - 2. Let z(i) = -8*j(i) - 5*u(i). Calculate z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 + 2*o - 2*o)*(-o - 2*o + 5*o) - 12*o + 42*o**3 + 12*o as n*o + j*o**2 + g + x*o**3 and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a hour in minutes?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (8 - 2 - -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -0.1. Which is smaller: h or 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 2. Let i be u(1). Let a(n) = 10*n + 1. List the prime factors of a(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 89520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/119*14\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3 - 4.3. What is the closest to 1\/7 in 2, j, -0.5, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -253832.48 + 253503.74186. Let u = r - -274.7381323. Let k = -54 - u. What is k rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2 + sqrt(567) - (2*sqrt(77))\/sqrt(11))**2 - (5 + (((sqrt(84)*1)\/sqrt(12))**2 + sqrt(7))*-3)).\nAnswer: 186*sqrt(7) + 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/8)\/t)\/t**(-17)*(t*t**2)\/(t*(t**(-9)\/t)\/t*t*t) assuming t is positive.\nAnswer: t**(215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*(sqrt(98) + -1 + sqrt(98)) + 4)**2.\nAnswer: -924*sqrt(2) + 3649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -483 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2, 4, -54?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 801769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-118)\/(-38) - (5 + -2). What is the closest to 1\/2 in z, -2, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -21*o**4\/2 + 5*o**2\/2 + 2*o - 11. What is the second derivative of f(c) wrt c?\nAnswer: -252*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -199, -238, -275, -310, -343?\n\"Answer: h**2 - 42*h - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 393945061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n. Let s be p(-1). Suppose -y = -s*y - 3. Is 9*2*y\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697784 is divided by 474.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1557\/(-18))\/((-3)\/(-6)). Let c = o + 157. Let n(x) = -x**3 - 4*x**2 + 2*x. Let f be n(-3). Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 10. Let v = a - -2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390315863 to the power of 1\/2, to the nearest integer?\nAnswer: 19756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9645 + -7214. Solve -2414*r + f*r + 136 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r + 30. Let j be q(5). Which is the nearest to j? (a) 2 (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 16*s + 16. Let b be g(-10). Let p = -22 - b. Suppose -244 - 16 = -v - 3*x, p*v - 511 = 3*x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-15)*t**(1\/34)*t assuming t is positive.\nAnswer: t**(-475\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 6947759 = -3*u. Suppose u = 32*j + 17*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.345 - 2.4. Let p = s + 2.055. Let h = 1 - 0. What is the third biggest value in h, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31735767 >= -253886139\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 4*h - 7*h + 3*h. Let w(q) = -13*q**2. Let i(c) = -3*c**2. Let x(p) = 18*i(p) - 4*w(p). Determine a(x(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -33\/7?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 129224, 516985, 1163276, 2068097?\n\"Answer: 129265*k**2 - 34*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*x - 110, -3*q + 4*x = -x - 74. Calculate the remainder when q is divided by 6\/4*20\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 1\/10, -0.3, 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2725 + 0?\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87378888?\nAnswer: 2, 3, 241, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**0*r**(-7))\/(r**(-2\/3)\/r**(1\/11))*(r*r**0*r**(-2\/5))**(-2\/7) assuming r is positive.\nAnswer: r**(-6253\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**3 - 1016*l**2 - 16*l**3 - 4*l**3 + l**3.\nAnswer: -l**3 - 1016*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08866 and 15487.\nAnswer: 1373.07742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172788333 divided by 1553.\nAnswer: 111261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-10)\/a*a*a\/(a*a**(5\/6))*a*a)**(-11\/5))**(-29) assuming a is positive.\nAnswer: a**(-16907\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1594 - 2981 - 7*m + 1387.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b*b*b*b**(8\/7)*b*b)))\/b**(-9))\/(b**(-13)\/b*b**(-13)) assuming b is positive.\nAnswer: b**(288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -9575861\nAnswer: 957586.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 7*v**2 + 3*v - 17. Let x be l(-6). Let b be (16 - 9)*30*x. What is the highest common divisor of b and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161888.\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(252)*3 + (sqrt(252) - (sqrt(252) + -2 + -2)) + sqrt(252) + 4*(-2*sqrt(252)*1)**2 + 4 + -5.\nAnswer: 42*sqrt(7) + 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -143*w**3 - 7*w**2 - 6. Let a(i) = i**2 + 1. Calculate -6*a(c) - g(c).\nAnswer: 143*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1037*n - 1414. Let b be p(6). What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 13*h - 29. Let c be x(15). Let d = c + 64. Sort 0.5, d, 0.4, -0.4.\nAnswer: -0.4, 0.4, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421675 is divided by 210823?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 6. Factor -6*j**4 - 3*j**i + 2*j**4 - 5*j**4 - 6*j**3.\nAnswer: -3*j**3*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*v - 60. What is the remainder when 79 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110 + 11?\nAnswer: 10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*q*r + 3494*q + 100*r wrt r?\nAnswer: -20*q + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1243 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(91) + -2*sqrt(91)*-1)\/(-6*(sqrt(7) + sqrt(175)) - sqrt(567)*1).\nAnswer: -4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444 and 248788.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 143\/542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9321\/10? (a) 1\/2 (b) 0.2 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6*-3 - -104. Let u = -147 + z. Is (-13)\/(2*3\/u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (14 + 0 - 7) + -38 - 7.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 386703676?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 842516 a multiple of 347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436 or -438?\nAnswer: -438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**4 - 32*i**3 + 40*i**2 + 32*i - 33. Let j(u) = 5*u**4 + 65*u**3 - 80*u**2 - 65*u + 65. Let a(o) = 2*j(o) + 5*l(o). Find r such that a(r) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.324 or -5?\nAnswer: -0.324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*m - 2*m - 45 = 0, 15 = -3*m. Suppose 0 = 4*u - 5*f - 0 - i, 0 = 2*u + 3*f - 9. Solve -u*z + 3 - 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -11*h**4\/24 + 9*h**2. Suppose -u + 4 = -2*u. Let r(v) = -5*v. Let q(n) = u*l(n) + 9*r(n). Let p(x) = 2*x**2. Give p(q(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 113*a - 2797. What is h(39)?\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-437)\/161 - (-15)\/(-5 - 0)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 26*o - 60.\nAnswer: 2*(o - 15)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-840)\/(-980)*406\/6\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 = 0, -4*a + 3*q + 336 - 1647 = 0. Let k = a - -325. Suppose -3*b = -2*b. Solve b = 2*v - 5 - k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-12) + (-4677)\/(-12). Let c(s) = -390*s - g*s + 773*s. Let z(d) = -45*d. Determine z(c(q)).\nAnswer: 270*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 - 2 = 0. Suppose q*f + 21 = 7*f. What is the remainder when f is divided by (-16 + 17 + (-10 - -6))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/3 - 8\/6. Let l be ((-1)\/2)\/(m\/12). Sort 3, l, 1.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.1, -16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*w. What is the hundreds digit of (1\/w - (-624)\/(-32))*-19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((372\/(-48))\/(-1) - 35\/5)\/((-24)\/1824)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -1265. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 105*o - 104*o + 47, 4*r - 32 - 8 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 - 53*x - 2*x**3 + 56*x + x**3 = 0 for x.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 23. What is the smallest common multiple of 5 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 + -67?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 314.82 and 1836?\nAnswer: 1521.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -0.5, 10\/1223 in ascending order.\nAnswer: -0.5, 10\/1223, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 1:49 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 4*c - c + 6. Is t(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 8*r + 4. Let t be x(8). Suppose 0 = -3*n + 4*n + t*j + 119, -3*n - 3*j - 402 = 0. Is (-2)\/(-8) - n\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 9:53 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(1\/3)*x))**(-23\/3))**(1\/31) assuming x is positive.\nAnswer: x**(23\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 82896 = -14*p. List the prime factors of p.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 5*l**2 + 8*l - 17. List the prime factors of u(8).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35963400 rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 294.1 + -10296.\nAnswer: -10001.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -5*o**3\/6 - o**2 - 564*o. What is m(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054039097 minus -0.081?\nAnswer: 0.026960903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 7*f - 2*f - 7, 0 = -f + v + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -17 + 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34148316, -34148312, -34148308, -34148304, -34148300?\nAnswer: -34148296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 7*y + (-3 + 2 - 1)*(-y + y - 3*y) + 4*y - 6*y - y)*(-7*y + 3*y - 3*y).\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68543*n**2\/4 + 274203*n\/2 - 124.\nAnswer: -(n - 8)*(68543*n - 62)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/2 + 211*u**3\/2 + 1212*u**2 + 3582*u = 0?\nAnswer: -199, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 31, -2, -2\/5, 48, -0.02, -5 in descending order.\nAnswer: 48, 31, 0, -0.02, -2\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3148*g*h**3*z - g*h**2 - g + 5*h**3*z - 1133*h**3 + h with respect to g.\nAnswer: -3148*h**3*z - h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*a**3 + 465*a**3 - 869*a - 932*a**3.\nAnswer: -2*a**3 - 869*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/4 - (-1 + 1). Suppose -5*b = -4 - i. Suppose 5 + b = 2*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4366 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647892033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - z - 5. Let s = 47 - 46. Which is the closest to s? (a) z (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -78, -0.058, 2\/13, 5?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - 14*g + 16. Suppose 0 = -3*z - 38 + 14. Let p be l(z). Suppose -10*b = -86 - p. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3385 (base 10) to base 9.\nAnswer: 4571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 55*q**3 - 32*q**2 - 2*q - 16. Let s be y(-22). Round s to the nearest 10000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 651 and 6144572?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380506?\nAnswer: 2, 7, 27179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14524 or -1955.6?\nAnswer: 14524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4284 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 4a95?\nAnswer: 4a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 5*a + 19 - 7*a)*(0 - 4 + 1)*(-a - 2 + 2).\nAnswer: -6*a**2 + 57*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*9*-2*(-60)\/9. What is the highest common divisor of a and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 31*x**2 + 12466*x + 73896. Determine h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/387646 and 73\/1316.\nAnswer: 36438724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + -2*sqrt(425) - (-2 + sqrt(425) + 0 - sqrt(425)))**2 + -1 + (sqrt(425) + 1 + 5 - sqrt(425))**2 + -1).\nAnswer: 120*sqrt(17) + 3486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 678*p - 48794. Determine c(235).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -562250368 by -140562592.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 + 93*q - 7. What is the remainder when l(21) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -75. Suppose 5*k - 300 = 5*d, -7*d + 8*d - 4*k + 45 = 0. Let y = d - j. Calculate the remainder when 54 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 - 12335*h**2. Let c(l) be the second derivative of 5*l**3\/6 + l**2 - l. Calculate c(x(i)).\nAnswer: 5*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 5:51 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 500*a**3*g**2*w - 5*a**3*g**2 - 2*a**3 + 23*a**2*g**2 + 6*a**2*g*w - a*g**2 + 2*g**2*w - 3*g**2 wrt a.\nAnswer: 3000*g**2*w - 30*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 736*t - 730*t + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 12. Let y(n) = -7*n**2 - 5*n. Let s(c) = -11*c**2 - 8*c. Calculate h*s(b) + 8*y(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -381*b**2*v**3 + 125*b**2*v + 253274*b**2 wrt v?\nAnswer: -1143*b**2*v**2 + 125*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*z - 506, 0 = -z - w - w + 121. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344 by 86.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 - 4*x**3 - x**3 + (-3*x**2 + x**2 - 2*x**2)*(2 + x - 2).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 802771 = 2397229. What is f rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21425600 and 34280960.\nAnswer: 171404800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*36\/17982)\/(2\/6).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (5*sqrt(132)*-1 - sqrt(132)))\/sqrt(12).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + r + 2. Let p be w(3). Let x = p - -30. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 6*g**2 - g - 4. Let k be n(-6). Is (-74)\/(-1*k*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-9))**14)**(4\/9) assuming c is positive.\nAnswer: c**(560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 8*o + 10, 5*x - 2*o + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 4*i - 1. Give g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + d**2 + 6*d - 10*d + 4*d. Let x(s) = -s**2 + s + 2. Let y be x(0). Give a(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - t - t)*(7*t + 9*t + 5*t)*((-4 + 3 + 4)*(-2*t + 0*t + 4*t) - 5*t + 3*t + 3*t - t + 0 + 0) to y*t**3 + m + u*t + h*t**2 and give y.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.6? (a) -5 (b) 0.02 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96507307 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)*o**(-3))**(1\/43) assuming o is positive.\nAnswer: o**(-12\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 12 - 0. Let t = 1 - o. Sort 4, -1, t in increasing order.\nAnswer: t, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25\/806 + 2582\/1209. Let -13\/6*o**3 + 2\/3*o + h*o**2 + 0 - 2\/3*o**4 = 0. What is o?\nAnswer: -4, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*4\/(-12)*2\/2. Suppose z + 2*w = -z + 134, -3*w = -r*z + 195. What is the units digit of z\/8 + -1 - (-3)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 2800?\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157 + 159. Let p = -3 + 5. Find the second derivative of -g**5 + 2*g + g**p - 7*g - g**a wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -49*u - 139. Let i(h) = 61*h + 144. Determine -4*i(b) - 5*l(b).\nAnswer: b + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*b - 226. Suppose -2*s + 46 = -b. Suppose 4*j - s = j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2. Suppose -d - 4 = -3. Let t(y) = -6*y**2 - 6*y. Let n(q) = d*t(q) - 2*s(q). Find the second derivative of n(h) wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 - 357*k**2 + 354*k = 0. Calculate k.\nAnswer: 0, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - z**2 - 2. Let a be h(2). Suppose -5*r + r = 5*p - 16, 2*r + p = 8. Suppose -k = 0, a*x - r = -4*k + k. Solve -2*l - x + 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51339970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*y**3 + 2*y**2 + 0*y**2 + 356*y**3 + 2*y**2 + 7 as h + r*y + m*y**3 + k*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 774 and 6?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**9*s*s))\/s*s)\/(s**(-5)*s))\/((s*s**7)\/s**(-2\/5)) assuming s is positive.\nAnswer: s**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11679375809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 2428.\nAnswer: 267080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:40 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -36*a**3 + 3*a - 4. Let x be b(3). Let i(j) = -j**3 + 11*j**2 - 23*j - 5. Let v be i(7). Is x*(v\/6 - 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * 39.\nAnswer: 5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 149.8. Let a = 0.38 + -0.4. Let g = a - -0.32. What is the second biggest value in f, g, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3621416 and 656.\nAnswer: 296956112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22000211210 (base 3) in base 16?\nAnswer: 2697f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26366, 52935, 79504?\nAnswer: 106073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 176 - (((-70)\/5)\/(-7) + 3). What is the greatest common divisor of h and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(242) + -1) - -6*sqrt(242)*-2.\nAnswer: -165*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 22. Let y = z - 15. Suppose 2*n = 4*n - y. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3*s**4\/4 + 2*s**3\/3 + s**2\/2 - 2*s - 2. Does 12 divide u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0. Suppose 4 = y + 5. Let x be 0 - (1 + 4 + y). What is the biggest value in 4\/9, s, x?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 17*k - 20. Let g(v) = 18*v - 23. Let n(f) = -6*g(f) + 7*j(f). Let l(c) = 56*c - 11. Give -6*l(t) + 33*n(t).\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(-2)\/k)))\/k)**(4\/15)\/((k*k**(5\/4))\/(k\/((k\/((k\/(k*(((k*k\/k**(-13))\/k)\/k)\/k))\/k))\/k*k))) assuming k is positive.\nAnswer: k**(-979\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 264.13*3\nAnswer: 792.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.749 - 21.74884. Round x to 6 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 + 30*b - 33 = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/19)*t*t**(-1)*(t**(1\/4))**36 assuming t is positive.\nAnswer: t**(173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, 0.5, -15.05, 3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m - 7. Let s(k) = -11*k - 11. Let o be (5\/(-3))\/((-5)\/(-15)). What is o*s(n) + 8*b(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3405715 is divided by 96?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 80 + -3?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40.139 = 342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*w + 2 - 4*w**2 + 2*w**2 + 5*w**2 - 2*w**2 in the form t*w**2 + n*w + o and give n.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2156 by 22.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3601933985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10224, -10220, -10216, -10212?\n\"Answer: 4*p - 10228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2817*d + 2817*d - 24*d**3)*(-9*d - 4*d + 4*d)*(4*d - 2*d + d).\nAnswer: 648*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6964 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -332, -474, -616?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/2))**(-44)\/((y\/(y\/y**1*y))\/y)**(-50)*(y*y*(y\/y**(-1\/2))\/y)**(-1\/21)\/(y**0\/y)**0 assuming y is positive.\nAnswer: y**(-4877\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -66. Let x be (-28)\/g + (-3)\/(-5). Are x and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:07 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxed when four letters picked without replacement from exdxxxxxdx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w + 9. Let c(p) = -3*p - 5. Suppose 84 = -2135*n + 2163*n. Calculate n*g(m) + 5*c(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1662.46 + -936.13. Let u = q + -647. Let v = -80 + u. What is v rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 15*p**2 - 5. Give t(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 + 2*s**2 - 21 + 55)*(2 - 2 - s**2) to h*s**3 + l*s**2 + t*s**4 + j*s + i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 15 = 14*n. Let b(q) = q**2 - 9*q**2 - q**n + q - 17*q + 27*q**2 + 36. What is the tens digit of b(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*r + r + 108, -4 = r. Let b(p) = 5*p + 1. Let i be b(1). Suppose 0 = -i*z + 7*z - h. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*u - 6*u - 12, -u = -4*d + 11. Let a be (u - 2) + (-24)\/(-12). Let j = 783 + -22705\/29. Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmn when three letters picked without replacement from {n: 1, m: 2, y: 4, c: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1618336 and 352?\nAnswer: 17801696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + s**2 + s**3 - 4 + 2*s**2 + 0*s**3. Let i = -14 + 11. Let v be b(i). Solve -v*p = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -72893*t**2 + 3*t. Let m(r) = 11*r**2. What is n(m(x))?\nAnswer: -8820053*x**4 + 33*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*q - 3944 - 2979 = 0 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78800219 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/((-9408)\/68)*(-48)\/2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*t + 340*t**2 - 345*t**2 - 23*t**3 - 5 + 6*t wrt t?\nAnswer: -138*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-28)\/4)\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.4 + 1.14.\nAnswer: 32.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 74.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (194 + 0 + -3)\/(7\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*a - 218*a - 11271 = 1344 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.4246, -231\/13, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Suppose 5*c + v = 56, -34 = -3*c - 2*v - 6. Let m be 5*4*(-3)\/c. Determine y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114066840 to the nearest integer?\nAnswer: 10680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*((-15)\/(-10))\/(-3). What is the units digit of 87\/6 - 3\/(t*6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12912068438 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x - 468. Let o = -90965 + 90808. Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + (4 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:48 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*v + 577 = -22*v - 123 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 - a**2)*(7 - 26*a**2 - 7 + (0 + 2 - 1)*(4*a**2 - 2*a**2 - 4*a**2)).\nAnswer: 28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 164794211 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*v + 83*v**2 - 8*v**2 + 74*v wrt v.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15\/3*10\/(-10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - m + 4. Let c be a(1). Suppose c*t - 14 - 24 = 0. Let z(p) = 3*p**2 - 5*p - 4. Calculate the remainder when z(6) is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9555 - 9550. What is the fifth biggest value in 0.3, -2\/19, 1\/4, r, 30?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 696 and 8.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400188103?\nAnswer: 7, 57169729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17796 by 18.\nAnswer: -2966\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550 divided by -850?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - (-42 + 14 + 11 + 10).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - -0.31. Which is the smallest value? (a) q (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10622 is divided by 10603?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-4)\/(-6))\/(1\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 8, k: 8}. Give prob of picking 2 e and 1 c.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 11442.\nAnswer: 125862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - 1371317?\nAnswer: -1371352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211*v + 20 = 1231*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1383.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p. Let m(r) = -6289842*r. Calculate x(m(f)).\nAnswer: 44028894*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -468\/11 - -1382\/33. Which is the closest to 2? (a) x (b) 3\/5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -611 - -614. Solve 5 = 4*q + 2*b - h*b, 2*q - 2*b - 10 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -0.2 (b) -5 (c) 0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -47700*w**2 + 8*w - 15. Let p(y) = 2*y + 1. Let z(h) = -5*p(h) + r(h). Let l be z(-10). Round l to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 4 - 1 - 1 - -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2825 - -2825. Solve g = -l - 498 + 505 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(343) + sqrt(343) + 1)**2.\nAnswer: 28*sqrt(7) + 1374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0 = -5. Let h = -16 - -17. Calculate the remainder when s is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 8:17 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 14*x + 14*x - 121 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o, 3*q + 4 = -q + 5*o. Let h be (1 - (q + 2)) + 43. Let t = h - 29. What are 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 -1 divided by 47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78821820 and 14652?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + 22 + (1898 - 1921).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*z + 4, 2*v - 12*z + 13*z = 2. Suppose 749*o - 748*o = v. Solve 3*i - 8 - 4 = o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2836 times 298?\nAnswer: 845128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -87. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 + 24*t**2 - 3. Let h be f(8). Suppose j + 3 = 4*j, 0 = -2*k + 2*j - 14. Let i be h\/k*0 + 1 + -1. Which is smaller: 8\/15 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2302?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2841 + -1.8824. Let h = 1.6 + l. What is h rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g**6*t**3 + 5*g**4*t**3 + 2*g**2*t**3 - 16*g**2 - 3*g*t**3 wrt g.\nAnswer: 1320*g**3*t**3 + 120*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 140*f + 1. Let j be t(-5). Let u be j*3\/(-20 - 1). Let x = 100 - u. Which is the second biggest value? (a) x (b) -0.05 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 16 = -39*a + 35*a, a = 2*u - 69 + 64 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -445 - -447. Which is the smallest value? (a) 5 (b) 89 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 8:16 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 17*h + 22. Let i be a(-17). Is 11 a factor of (-1197)\/(-11) + 3 + 4\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 834231 = -6*v, -2*i - 5*v = -0*v - 556153. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 7074, 3\/4.\nAnswer: 3\/4, 108, 7074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.625, -1\/7, -0.1, -192 in ascending order.\nAnswer: -192, -0.625, -1\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtz when three letters picked without replacement from wmzwzt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(2\/21)*t)\/t)\/((t**(-14)\/t)\/t))\/(t*t\/(t\/(t*t\/(t\/(t*t**(1\/6)*t))))*t\/t**(1\/13)) assuming t is positive.\nAnswer: t**(6997\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.107 - -3.893. Which is the closest to x? (a) -0.2 (b) -1\/8 (c) 126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, 441, -4, 2 in increasing order.\nAnswer: -5, -4, 2, 16, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/((-5)\/(-810)*9). Calculate the greatest common factor of w and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-228*o - 294*o - 104*o)*(0*o**2 + 2*o**2 + 0*o**2) to f*o + d*o**3 + p + k*o**2 and give d.\nAnswer: -1252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 234, 468, 582, 570, 426, 144, -282, -858?\n\"Answer: -w**3 - 54*w**2 + 403*w - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145030404*l + 145030404*l + 12680*l**3 - 4012 - 503 wrt l?\nAnswer: 38040*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 1, -67, -155, -269, -415?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 2*p + 2. Let m be u(1). Find the third derivative of -15*w**4 + 25*w**4 - 3*w**m - 2*w**2 wrt w.\nAnswer: 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 - -13 - (-29 - (2 + 1)). Suppose 0 = -m*j + 9011 + 817. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**3*y**2 + 30926*u**3*y - 6*u**3 + 216*u**2*y**2 + 13*u**2*y - 4*u*y + 2*y**2 wrt u.\nAnswer: -12*y**2 + 185556*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799229590?\nAnswer: 2, 5, 443, 180413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -16\/9, -4, 7, -158?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**3 + o**2. Suppose -2*b + 1364 = -5*i, 8*i = 9*i + 5*b + 262. Let w = i - -304. Calculate the remainder when w is divided by a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 16, 35, 62, 97?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 1)*(-277*r + 357*r + 648*r) as u + a*r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*n + 5 - 27*n - 29*n + 13*n as i + a*n and give a.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 5)\/(4\/3). Suppose -2*v = d*z - 33, 0*z - 2*v = 5*z - 51. Suppose z*s + 112 = 11*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/18 - 4*o**3\/27 + o**2\/9 + 29. Factor i(c).\nAnswer: 2*c*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -12. Let w(z) = 9285*z + 11. Let t(l) = -102135*l - 120. Let k(o) = -6*t(o) - 65*w(o). Let n be k(q). Round n to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*v + 667 = 0, -2*v + 4 = -2. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112730827.\nAnswer: 11, 10248257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + d**2 + 3*d**2 - d**2 + (-4*d + 0*d + 8*d)*(-4*d + 7*d - d).\nAnswer: 11*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgtttttttgt. What is prob of sequence gtt?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**4 + 72110*h**2 + 972095 wrt h?\nAnswer: -8*h**3 + 144220*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3853 + 0.3853020209. Round y to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 51 = -19*n. Solve h - 1 = -3, 3*h - 3 = n*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16b (base 13) in base 16?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-76)\/16 + 5 + (-1)\/4. Solve z*j - 8 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three halves of a decade?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/21)\/((-222)\/(-135)). Let n = -18\/11 + 864\/407. Let x = o - n. What is the nearest to -0.1 in -5, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 992433.56 and 239120?\nAnswer: 753313.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*((-39)\/(-156))\/((-135)\/252)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/5950 and -62\/135.\nAnswer: 160650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10)*1*26\/(-52).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-168)\/105)\/(2\/(-20)). Solve j = 4*x - 4*r, -52*x = -53*x - 2*r + 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036829 less than -0.8?\nAnswer: -0.836829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 5*v + 13. Let n be s(4). Is n > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 5*v + 4. Let r be 5*6 + 18 + -18. Suppose 28*z = r*z + 12. What is j(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:28 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211132 + 100301200?\nAnswer: 102112332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -78963, 0.101, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-441))\/((-63)\/(-147))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1384, -3, 17, 3 in decreasing order.\nAnswer: 1384, 17, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 11*i - 34. Let l(h) = 4*h + 5. Let j be l(-5). Does 8 divide b(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 6*p - 3*p)*(948 - 354 + 8*p - 98 - 163) as b + h*p**2 + x*p and give x.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.2, -7\/3982?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130454 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6352 and 14476.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 770 divided by -14\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**3\/2 - 9*i**2\/2 - 11*i. Suppose x + x = 2. Calculate the smallest common multiple of f(5) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-2*-1 - -2. Let h be (-12)\/(-42) + 15\/21. Suppose -4*z = -3*k + 7*k, 0 = -3*k + 3*z + 18. Solve -r = 2*w - h, 3*r + k*w = f*r - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*z + 1302. Let i = z - 334. Let s = i - 143. List the prime factors of s.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2160402084609 from -0.5.\nAnswer: -2160402084609.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1410788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/((sqrt(135)\/sqrt(3))\/sqrt(5)))**2 + (0 + -2*sqrt(3) + sqrt(3) + 2*sqrt(3) + 4 + sqrt(3))**2.\nAnswer: 16*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -143*u**4 - 15 - 136*u**4 + 208*u**4 - u**3 + 78 wrt u?\nAnswer: -284*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 41 = -1471*b + 1475*b, 4*b = 105*o + 1579 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -22. Let t(f) = 2*f**2 - f + 3. Calculate the remainder when j is divided by t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2071266075.\nAnswer: 3, 5, 191, 48197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/3809 and 20\/3223.\nAnswer: 41899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 682.4203.\nAnswer: 683.4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*4\/((-16)\/(-194)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1523*w + 267*w - 114445 = -601*w - 44*w for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d - 2*d + 2*d**2 - 11 - 3*d. List the prime factors of c(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -2*p + n, p - 5*n = -0*p - 55. Round p to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 128.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241 is divided by 2227.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/65 + 19\/(-120) + (-6)\/(-18). Solve o*g**2 + 0 - 3\/4*g = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1925 and -247\/94710.\nAnswer: 473550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 1255.7.\nAnswer: 1259.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12*l - 205. Determine k(-24).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 350549904 + 832.3.\nAnswer: 350550736.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10475010.\nAnswer: 2, 3, 5, 7, 13, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 317 - 315. Let l(t) = -t**3 + 6*t**2 + 6*t + 8. Let z be l(7). Let j be 1 - (1 + -2)*z. Solve m + o - 5 = w*o, -6 = -m + j*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 30. Suppose -q + 2*q - d = 0. Let n = -6 + q. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26360 and 5720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1018594 or -1018585?\nAnswer: -1018594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p**2 - 4*p. Suppose -2*y = -7 - 3. What is the hundreds digit of a(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -318 + 323. Which is the biggest value? (a) l (b) 2 (c) 0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 2. Let p be o(-5). Suppose -p*h + 71 = 2. Is h\/((-2)\/(-2) + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 187946394 or 187946393?\nAnswer: 187946394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66089501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/7288792 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -621 (b) -0.4 (c) -871\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -55, -3\/5, -17?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 1:25 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*l + 6, y - 5*y - l - 12 = 0. Let k = y - -4. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 290354\nAnswer: 1\/145177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwj when three letters picked without replacement from xxxrjxwmrrxxmjjj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-548)\/(-34) - 14\/119\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 11*x**2 - 9*x - 10. Calculate f(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 0*v + 6*v - 3*v**2 - 8*v to the form x + u*v + k*v**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) + ((-2275)\/(-100) - 19). Solve -i + 16 = m*y, 5*y - 10*y + 5*i + 45 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*b + 4*h - 2, 0 = -b + 3*h + 12. What is the common denominator of (-596)\/(-132) - (-4)\/b and -32\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 4*n + 7. Let j be s(-6). Let g = -11 - -7. Let x = j - g. What is the nearest to 0 in -0.2, x, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43808766.\nAnswer: 2, 3, 31, 317, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1839, 10, -1, 0.\nAnswer: -1, 0, 2, 5, 10, 1839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 30*s**2. Let k(q) = -53456*q**2. Give h(k(u)).\nAnswer: 85726318080*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -635a (base 16) to base 4.\nAnswer: -12031122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -16 - ((-2)\/13 - -1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36309 and 3367?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b**2 - 10*b. Suppose -z = -3*a - 14, -2*a + 0*z - 4 = 2*z. Let m(x) = 5*x**2 + 5*x. Let t(o) = a*u(o) - 9*m(o). Let t(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/(-7) - (-8 + -1). Let z be t\/(-2)*4\/(-10). Let f be z\/(-1*3\/(-24)). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 257916.1199 + -257897. Let r = 6.1254 - o. Let n = 13 + r. What is n rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 4*y + 4*y**3 - 2 + (457 + 434*y - 866*y + 431*y)*(-2*y**2 + 2*y - 2*y) + (0*y**3 - y**3 + 3*y**3)*(0 + 0 - 1) - 2*y**3 + 0*y**3 + 3*y**3.\nAnswer: 5*y**3 - 914*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 7. Let r(s) = 3*s + 1194 - 2*s - 1200. Calculate r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(55)*1 + sqrt(55))\/(3*(sqrt(5) - sqrt(5)*-3)) - (2*(sqrt(99) - (sqrt(99) + 2*sqrt(99))))\/sqrt(576).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113*o**6 - 12*o**2 + 5.\nAnswer: -13560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 + 6 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away -3676190861856?\nAnswer: 3676190861845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-720)\/48*(-84)\/(-70))\/(171\/(-6))\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*r = 267*r + 146. Let f(u) = 2*u**2 + u + 1. Let g be f(-1). Let t be 18 - 3 - g\/1. Solve 0 = -r*s - 2*m + 18, 0 = 5*m - 12 - t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:21 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 392*s + 2658. Let a be x(-20). Which is bigger: -5181 or a?\nAnswer: -5181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.54 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-45060)\/40*16\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 - -223. Let v = w - 75. Is v smaller than -2\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 11:23 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - -7.02. Let k = -0.37 + 0.47. Which is the nearest to -2\/5? (a) n (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104086 or 104085?\nAnswer: 104085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:52 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*172.\nAnswer: 14448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.8 + 11.7. Let m = -17.5 + x. What is m rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010*t + 8633 = 3*f - 1006*t, f - 2*t - 2881 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(10\/(-100)). Which is the third smallest value? (a) 1\/4 (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2351.822 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48352580 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.238 + 12.858. What is b rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5634)\/(-27) - (-16)\/(-24). Calculate the greatest common divisor of 1040 and v.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 13 = -3. Suppose 0 = 2*c + 4, g - 5*g + 3*c + 6 = 0. Let x(b) = -15 + 15 + g*b - a*b. Let l(r) = 24*r. What is l(x(k))?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5695897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*p**2*u + 12*p**2 + 2*p*u + p - 251*u wrt p.\nAnswer: 24*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*1)\/sqrt(5))\/(sqrt(490) + (sqrt(490) - (sqrt(490) + -1*sqrt(490) - sqrt(490)))).\nAnswer: sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17*m - 406. Calculate y(29).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/120 - 11*q**5\/60 - q**4\/3 + 3*q**3\/2 + 23*q**2. Let v(n) = n**2 + n - 2. Let h(g) = -m(g) - 4*v(g). Determine h(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 0*c**2 + 5*c**2 + 15*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19829 is divided by 7274.\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 42267 = 2*q - 42187, 3*q = -73*m - 321 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 227, 595, 1213, 2141, 3439, 5167?\nAnswer: 7385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-14)*(-8)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -5158208.\nAnswer: -1\/322388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + 4464804?\nAnswer: 4464871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 92745 divided by -229\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 17. Determine r(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024081243 rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {h: 3, e: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -260 - -256. Let k be (-1)\/(-5)*(-15)\/(-10)*w. Let t = 0.5 + -0.2. Which is the smallest value? (a) 2 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a**2 + 5 - 63*a**2 - 31*a**2 - 63*a**2 + 267*a**2 - 70*a**2.\nAnswer: 3*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/12 + 10*d**3\/3 - 7*d**2 + 25*d. List the prime factors of f(12).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11 + 28*k - 23*k - 5. Let f be p(4). Does 18 divide 2\/f + (-71)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 5*c + 13. Calculate r(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12*(-3)\/(-10). Let n = 1\/2 - g. Which is the closest to -0.1? (a) n (b) 3\/8 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 271 and 447692.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(605)*2 - (1*sqrt(605)*4 - sqrt(605)).\nAnswer: -11*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.183 times -91.362\nAnswer: -16.719246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86401, 87840, 89279, 90718, 92157, 93596?\nAnswer: 95035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((5\/(-4))\/(37\/(-148))). Let w = 0.24 - -0.06. Which is the nearest to p? (a) 3\/7 (b) 0.1 (c) -5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + -1 + (-381 - -386)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(t**4 - t**4 + t**5 + (2*t - 6*t + 2*t)*(-3*t**4 + 0*t**4 + t**4)).\nAnswer: -15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + d + 52 = -14, -36075*l + 12 = -36073*l - 5*d for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*f**3*i + 3*f**3 + f**2*i*y + 2*f**2 + 3*f*y wrt i?\nAnswer: -13*f**3 + f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(0 + (4 - 3)). Suppose -u - 4*c - 8 = 7, 5*c + 25 = m. Suppose 5*v + 174995 = 5*p, -3*p + 8*p - 175005 = -u*v. Round p to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-20)*-5*16\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 668*i**2 + 48416*i - 94128.\nAnswer: -4*(i - 53)*(i - 2)*(i + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + z = -0*s - 250, 639 = 5*s + z. Let q = s - 51. Suppose -q*v - 906 = -82*v. List the prime factors of v.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 19*a = 18. Factor -t**2 - 1\/2*t**a + 0 - 1\/2*t.\nAnswer: -t*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -528 + -6a0?\nAnswer: -bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -646 + 642. Suppose 2*a + 5*w = 0, 4*a - 5 - 7 = -4*w. Suppose -5*h + a*j + 31 = 4*j, 51 = 5*h + 4*j. What is the nearest to 0.1 in h, 2\/23, o?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2. Let o(w) be the third derivative of -w**5\/60 + w**3\/3 - 4*w**2. Let y(a) be the first derivative of o(a). What is y(d(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1.9019\nAnswer: 0.57057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 44*p - 177. What are the prime factors of f(29)?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 3.978.\nAnswer: 3.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5100 and 160820.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 5*q**2 - 5*q + 2. Let r be l(4). Let f be (-3)\/(90\/64) - r. Let o be (5 + (3 - 9))\/(17\/2). Which is the nearest to 0? (a) o (b) f (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-22))\/(19 + (-5200)\/275). Let r(z) = 11*z**2 + 2*z - 9. Calculate r(s).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2)*2\/(-2). Let x(v) = -v. What is the remainder when 1 is divided by x(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -726066 < -3630324\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.9 and 0?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 24 = -0*p. Suppose l + p = 3*l. What is the tens digit of ((1 - l) + 2)*(-74)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1\/2, -1\/3, 10\/47, -2\/13 in descending order.\nAnswer: 0.3, 10\/47, -2\/13, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 356.555.\nAnswer: 2852.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 255088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 14\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 813*c - 402*c - 11508 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2)*1 + sqrt(110)\/(sqrt(10)*-2) + sqrt(11) + sqrt(891) + -1*sqrt(891))**2*3.\nAnswer: 825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/12)\/19 + (-56)\/(-30)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 10*r**2 - r + 5. Suppose -2*b + 7*b - 5*u = -70, -5*u = 2*b. Let n = 6 + -1. Calculate the remainder when k(b) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 14 = 3*o. Suppose 4*l + 328 = 2*d, 0 = -5*l + 7*d - o*d - 400. What is the common denominator of 91\/12 and (-102)\/64*l\/27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 9:06 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a - a)*(0*a - 2*a - a).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/9976 and -35\/98513.\nAnswer: 788104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -4151\nAnswer: -12453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11266*w**3 - 11536*w**3 + 34333*w**3 - 11532*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -82*i + 2*i**4 + 18*i + 34*i**3 - 98*i**3 + 22*i**3 + 72*i**2 + 18*i**3 = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.7*-0.39.\nAnswer: 4.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/12393 and 53\/36697860.\nAnswer: 623863620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, 17\/6, -110, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -14) + (0 + 0 - (-2 + 4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.7027, 3\/2?\nAnswer: 0.7027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18424 is divided by 152.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*k**2 - 217 + 106 + 111 + 68*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -12)*(-5)\/((-100)\/(-6)). Let b = r - -39\/10. Put b, 43, -0.4, -2\/9 in increasing order.\nAnswer: -0.4, -2\/9, b, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-5))\/((-1)\/(-2)). Suppose 70 = -r*j + 2*w, -2*j + w + 29 = -4*j. Let m = 37 + j. What is the greatest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8020802 = 3*h - k - 3*k, 2*h - 3*k - 5347201 = 0. Let j = -17726398 - h. What is j rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {d: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - g = -3, -4*g - 978 + 987 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 29*b + 52. Calculate q(-5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/7 + 12\/(-42). Solve -q = 2*q + j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9. Let b be h\/(-6) - (-465)\/90. Suppose b*v - 474 = 46. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {d: 1, h: 9, i: 1, v: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/7575 and 77\/2130?\nAnswer: 1075650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, -3\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/13 - 10*a**2\/13 + 176*a\/13 - 32 = 0 for a.\nAnswer: -13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24b (base 16) to base 12.\nAnswer: 40b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f**2 + 134*f - 119. Let r be d(11). Solve -29 + r = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*p - 219*p = -6. Sort p, 0, 3, 2 in ascending order.\nAnswer: p, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence did when three letters picked without replacement from {f: 1, d: 2, s: 6, g: 1, i: 7}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.3, 8\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/(9\/(-48))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g + 130. Let b be z(21). Solve 3*w - 10 = -5*n - 2*w, -b*w = -n - 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + -1 + (-3*(sqrt(192) - (sqrt(192) + 1*sqrt(192))) - (sqrt(192) + -2 + -5)) + 2))**2.\nAnswer: 1728*sqrt(3) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(1 - 0) + 268. Suppose 11*g + u = 17*g. 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: Let d be ((-2)\/4 - (-48)\/224)*-28. Suppose -c = -5*c + 2*f + 16, 0 = 2*c - 4*f - d. Solve -8*x = c*j - 3*x + 2, 5*j = 2*x - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 7*f + 2349 = 0. Suppose -3*r + 96 = -f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371659*y - 287594*y + 474034*y + 750369*y.\nAnswer: 1308468*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 + 115. Let v be 15\/(-6)*(k + -7). Which is greater: v or 8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 556, 5 in increasing order.\nAnswer: 1, 2, 5, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 17 = 3*w, 4*g - 2*w - 18 = 0. Let j(c) = 0 - 3 - g - c**2 + 1 + 5*c. Let u be j(5). Let r(a) = a - 2. Give r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 18*n**2 + 1. Let g(s) = s**3 - 36*s**2 + 1. Give 3*g(y) - 5*o(y).\nAnswer: -2*y**3 - 18*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 95*j**5 - 3375*j**3 + 3375*j**3 + (0*j**2 + 0*j**2 + 15*j**4 + 2*j**2)*(j + j - 3*j) + (2*j + 4 - 4)*(j**4 + 1 - 1).\nAnswer: 82*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1881*n - 22337. Give c(-12).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51146 and 5350?\nAnswer: 1278650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/69692 and -29\/766612.\nAnswer: 766612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.672 + -1822615722.\nAnswer: -1822615720.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/10 + u**4\/24 + 28*u**2. Determine c(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.84335+488.4\nAnswer: 487.55665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*d + 0 = -9, u - 3 = 2*d. What is the remainder when 5 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 47*i + 36*i - i**2 - 10 - 90*i = 0. What is i?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12)*(5 - (6 + 1)). Let t = -2.9 - -1.8. Let w = t + 1. What is the closest to 0 in w, 0.3, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:09 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13127123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 19 = -p, 2*l - 2*p = -133 + 119. Let w(d) = -19*d - 68. Give w(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 3 = -4*l. Let z = 4 + 2. Let w(v) = -2*v**2 + z*v**2 - 6*v**2. Calculate w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21324 - -6?\nAnswer: 21330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89115*b**3*n + 727*b**2*n - 25*b**2 + b*n wrt b.\nAnswer: 534690*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25771580 rounded to the nearest 10000?\nAnswer: -25770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.1 - -7.226. Let y = -0.026 + o. Which is the closest to y? (a) -5\/6 (b) -0.04 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 525 and 1013075?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4034411 (base 5) to base 16\nAnswer: fdd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -98.96. Let z = i - -0.04. What is the second smallest value in z, -6, -1, -1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 5*w - 62 = -l, 0 = -4*l - 6*w - 41 + 121 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times -19?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, n: 4, f: 4, s: 1, y: 1, k: 1}. What is prob of picking 1 n and 1 s?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 577, 2395, 5431, 9691, 15181, 21907, 29875?\n\"Answer: v**3 + 603*v**2 + 2*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m + 5. Let y(a) = a. Let h(l) = -v(l) + 2*y(l). List the prime factors of h(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -577 + 10. Let o = -220 - l. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39921.34225 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338130?\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -14301455?\nAnswer: -100110185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -116970, -467901, -1052792, -1871649, -2924478, -4211285?\n\"Answer: -j**3 - 116974*j**2 - 2*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/2 - 19*r**2\/2 - 49*r - 40 = 0.\nAnswer: -10, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -258038.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -35971698430.18 - -0.3\nAnswer: -35971698429.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*o + 13 - 16*o**3 - 22*o**3 + 36*o**3 - 17 + 5*o**2 to the form k*o**2 + l + s*o**3 + c*o and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*4*6 + 2)**2.\nAnswer: -288*sqrt(13) + 67396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 4. Let x be (1\/(-3))\/(3\/(-36)). Let p be t(x). List the prime factors of (p + -2)\/((-2)\/29).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u**2 + u + 125. Let o be p(0). Let z be (-6)\/(-4)*((-37)\/555 + 4506\/90). Calculate the greatest common factor of o and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3122202300 (base 4) to base 2.\nAnswer: 11011010100010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 245990020 to the power of 1\/3, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/3 + 4\/(-6). Let w be 0*(-1)\/2 - i. Suppose 3*k + 0*k = 0. Solve -3*n = -k*n + w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -326\/117 + 2984\/819. Factor 1\/7*o**5 + 13\/7*o**3 + p*o**4 + 4\/7*o + 12\/7*o**2 + 0.\nAnswer: o*(o + 1)**2*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 463726.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 920*r - 1209*r - 3 + 3.\nAnswer: -289*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(6\/11)*h)**(-22))**(-42))**(2\/5) assuming h is positive.\nAnswer: h**(2688\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30073619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13634 is divided by 13623.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 141, 226, 321, 426?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2 - 1560478*n + 5870512.\nAnswer: -4*n - 1560478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84990.\nAnswer: 2, 3, 5, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 3:48 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 < 577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12179*c + 36524. What is u(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6 = 5*h + 4*g, 4*h = 5*g + 45. Suppose p - h = u, -9 = 2*u + u. Suppose -j = 2*y - 107, -2*j - 44 - p = -y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**4 - 2*l**3 + 27. Let f(t) = -t**4 + 1. Let u(s) = -3*s + 16. Let d be u(6). Let b(g) = d*f(g) - z(g). Find the first derivative of b(r) wrt r.\nAnswer: 32*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425312 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01330279 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 88*o + 389. Give c(-48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 347822*c. Let l(q) = -2*q**2. Give h(l(z)).\nAnswer: -695644*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-4)*1)\/1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0)\/(4\/(136\/2)). Let j(t) = -t**2 + 6*t + 10. Let c be j(9). Is a > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + -68 + -118 + 261\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 0.2. Suppose 0 = -5*b - 3*t - t + 27, 0 = 3*b + 4*t - 21. Let j be b\/12*4*4\/(-12). Is j at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876955 is divided by 406?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*x + 3*x + 57 - 255 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h - 3. Let p be t(-3). Let u = 18 - p. What is the units digit of 224\/u - (-4)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-one sixths of a week?\nAnswer: 1148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 15, 44, 93, 168, 275, 420, 609?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 86561.01cm?\nAnswer: 865610.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than -814?\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 4 + -1 + sqrt(1100) + 1) + -5.\nAnswer: -40*sqrt(11) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0, -1459, -17, 2, -4 in descending order.\nAnswer: 5, 4, 2, 0, -4, -17, -1459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2090274*c - 2433738 wrt c.\nAnswer: 2090274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/270 and -139\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-7))\/32*-14\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10325*l + 10. Let q = -26 - -18. Let o be k(q). Suppose -o - 64390 = s. What is s rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 - -166. What are the prime factors of 5\/5*-3 - j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1285923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 28*o**2 + 10*o - 17. Is 48 a factor of z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**3 + 29*h - 14*h - 15*h.\nAnswer: 29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = -5*s + 14, 18 = -3*o + 5*s. What are the prime factors of 6 - (o + 3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -39, -58, -77, -96?\n\"Answer: -19*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101000002020 (base 3) to base 12\nAnswer: -95b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.038459484 and 75352.\nAnswer: 75359.038459484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-6) - 92\/(-60). Let q = 0.4 - 0.9. What is the smallest value in w, -0.2, 3\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 (base 11) in base 3?\nAnswer: -121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (6 + (-15 - -7))) + -14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72606, 145217, 217828, 290439, 363050, 435661?\nAnswer: 508272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -281, 3 in descending order.\nAnswer: 3, 0, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or -70?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 39.6883 years?\nAnswer: 3.96883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 5*i**3\/3 + i**2 + i + 15. What is a(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264532445 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30067610?\nAnswer: 2, 5, 3006761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + ((-1*(4 + -1 + sqrt(300)) + ((sqrt(300) - (sqrt(300) - (sqrt(300) + -1))) + -1 - sqrt(300) - sqrt(300)) + 1)*-6*-4)**2).\nAnswer: -2801668 - 368640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20967*m + 21028*m + 1525 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*r*t**2*u - 125*r*u**3 + t**2*u**2 - t*u + 972*u**3 + 2*u**2 wrt r.\nAnswer: 47*t**2*u - 125*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 15, -6, 4 in ascending order.\nAnswer: -6, 4, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3480 divide 760018080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 75*x + 2*x)*(0*x**4 - 5*x**4 + 3*x**4).\nAnswer: 146*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, -20, -4, 3.\nAnswer: -20, -4, 3, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4740856 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*t + 23, -5*f - 5*t - 19 = -3*f. Suppose 0 = 4*z - 5*l + 12, l + 16 = -3*z + 3*l. Let a be (f\/(-12))\/(62\/z). Is a less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 6 - (1 - 4). Let x be ((-1)\/(-4 - p))\/1. What is the units digit of (2 - x)\/(3\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 + 94*u + 487. What is j(-5)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - (218883\/441)\/((-4 - -2)\/78).\nAnswer: 37, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 7:54 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 999944.7 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/5 + 8*d**4\/5 - 6*d**3\/5 - 28*d**2\/5 - 16*d\/5 = 0. Calculate d.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*a**4 - 405232*a**2 - 24043523 wrt a.\nAnswer: 168*a**3 - 810464*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/75*-3)\/((-1560)\/(-600)).\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3497 + 2040. Let f = i + 1456.997196. Round f to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2. Let m be n - (-2)\/(-1) - -3. Let d(b) = 5*b**2 - 225*b - 1249. Let j be d(50). Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 356 - 213. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Suppose -4*k + 3*u = 329, 4*k + 66 = l*k + 4*u. Let r = 89 + k. Solve -3*z - 6*v = -v + 9, 0 = -r*z - 4*v - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.7 + -96. What is a rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 491 + 0*i**2 + 3*i**2 + 137.\nAnswer: i**2 - 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (-24)\/3)*-2. Find the third derivative of x*y - 14*y + 2*y**2 + 2*y**3 wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (386\/85306)\/(1\/17).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 15*u**2 - 5*u - 15. Let l(m) = m**3 + 14*m**2 - 6*m - 14. Let q be (-12 - -5)\/(0 + -1). Let r(z) = q*l(z) - 6*x(z). Is r(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -883, -1809, -2737, -3667, -4599, -5533?\n\"Answer: -q**2 - 923*q + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 56*g**2 - 978*g - 113. Calculate t(70).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255401 (base 6) in base 5?\nAnswer: 1221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6034531 weeks to days.\nAnswer: 4.2241717","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97479.8 or -2?\nAnswer: 97479.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 7.508.\nAnswer: 8.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1638, 2866, 4056, 5190, 6250, 7218, 8076, 8806?\n\"Answer: -3*w**3 - w**2 + 1252*w + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 15. Put 3, 4, c in descending order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -20*f + 65. Let p(w) = 1. Let o(g) = -c(g) + 30*p(g). Differentiate o(l) with respect to l.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + a4a?\nAnswer: a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 10*y - 34*y + 183113 = 0. Calculate the lowest common multiple of 4242 and y.\nAnswer: 29694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2904, -7431, -11958, -16485, -21012, -25539?\nAnswer: -30066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10*25*(-200)\/125.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 5*m - 3. Let r be n(-6). Let g(s) = -s + 5. Does 7 divide g(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 57*t**2 - 77*t - 63. Determine h(58).\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41100243 (base 5) to base 14.\nAnswer: 88a5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4821 * 2.645.\nAnswer: 12751.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27947, -28902, -31513, -36614, -45039, -57622, -75197?\nAnswer: -98598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 1308 = 0. Suppose 2*t = 143 + o. Suppose -47 = 4*z - t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let q = 7 - 9. Let a be x(q). Suppose 0 = a*u - 130 + 24. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*i**2 - 6*i + 0*i**4 + i - 231*i**2 + 3*i**4 to n*i + m*i**2 + j + b*i**3 + o*i**4 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -936, -1822, -2708, -3594, -4480, -5366?\n\"Answer: -886*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.290585 millennia to decades.\nAnswer: 329.0585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/5)\/t**(3\/7) assuming t is positive.\nAnswer: t**(-8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -26. Let u be (1\/((-2)\/2))\/(-1). Suppose 0 = a - x - 51, 4*x - u - 3 = 0. What is the greatest common factor of a and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*((-1)\/(-1))\/(-6)*132\/(-44)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 128*g + 34*g - 8)*(30 + 9*g - 30) in the form z + n*g**2 + u*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4986)\/27*(-12)\/8.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33551749 is divided by 780273?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f + 2*g - 438, -5*f - 3*g + 2162 = 0. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-56) + 1*(-95)\/(-210).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k**3\/3 + 2709220*k**2\/3 + 5160820*k - 1548240 = 0 for k.\nAnswer: -6, 2\/7, 77412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78059 is divided by 3554.\nAnswer: 3425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b - j + 1 = 0, -5*b + 25 = -2*j. Let y(h) = -h**2 - 10*h - 8. Let z be y(-9). Solve -z + 10 = -b*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 892 - 1614 = -11*h - 931 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Let g(i) be the first derivative of 0*i + 0*i**l - 2\/5*i**5 + 0*i**3 + 3\/2*i**2 - 1. What is the second derivative of g(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 8. Let y = 134 + -132. Let j be a(y). Solve -j*f = 6 - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzbb when four letters picked without replacement from zbbbbbzbbbbzzb?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1092*z**5 - 11*z**2 + 12*z.\nAnswer: 65520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.44 + 28.44. Which is the nearest to f? (a) 2.4 (b) 1 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 11*x - 3. Determine i(-13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/17)*g))\/g**(-4\/3)*g**(-20)*g*g*g*g**(-37)\/g assuming g is positive.\nAnswer: g**(-2743\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3316*v - 35 + v**4 - 1993 + 1190*v**2 - 2404*v + 11*v**4 - 6*v**2 + 280*v**3 = 0. Calculate v.\nAnswer: -13, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1083, -1555, -1991, -2373, -2683, -2903, -3015, -3001?\nAnswer: -2843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3 + 3*x + 2 = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*b - 2. Let w be 11 + b + -5 + (2 - 0). Solve 8 = n + w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (884\/1547)\/(1\/(-35)*2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153776.\nAnswer: 2, 7, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3632476?\nAnswer: 2, 563, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 9*l + 6. Let m be b(-9). Let f = 5 - m. Is 3*((-57)\/(-9) - f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23 + 2*((-9)\/(-6) + -3). Solve 0 = -3*f - 2*f - z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*f**5 - 10*f**5 + 6*f**5 + (3*f - 2 + 2)*(f**4 - f**4 - 4*f**4).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away -141016?\nAnswer: 141035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 31*r + 2. Suppose 4*f + 14 = -a, 0 = 4*a - 3*f - 37 - 2. Let g(c) = 0*c**2 + 2*c**2 + 3*c**2 - a*c**2. Determine j(g(z)).\nAnswer: -31*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28740 - -726?\nAnswer: 30566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/3, -1925, 4, 2\/11.\nAnswer: -1925, -3\/4, 2\/11, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -8)*(-7051)\/(-55). Suppose m = 6*l - 67. Calculate the remainder when l is divided by 50.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e + -3e3a?\nAnswer: -3e68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + -1.9. Let o = 3 - 8. Which is the third biggest value? (a) n (b) o (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (59 + 7 - 18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) -8 (c) -4 (d) 1160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5849.87 rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**2 - 2*q**2 - 5*q**2)*(-33*q - 3*q - 7*q)*(1 - 4 + 1) in the form n + x*q + t*q**3 + l*q**2 and give t.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 5*t + 0*t)*(5 + 2 - 5) + 0*t + 0*t - 4*t + 7*t - 4*t - t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7480\/(-2992))\/(5\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 + 14*j + 97. Calculate w(-9).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (217\/(-3))\/(1\/3). Let x be 18\/4*(-30 - -6). Let h = x - l. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0, -0.2, -17, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11877.8 + -11878. Which is the nearest to -1? (a) s (b) 0.2 (c) 1\/3 (d) 251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 213, 21.5 in increasing order.\nAnswer: 0.2, 21.5, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474105 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, q: 3, z: 1}. Give prob of sequence zcqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1819 - -2387143.\nAnswer: 2385324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373110136.\nAnswer: 2, 7, 67, 277, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 4 (b) -12 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:18 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - -19. Let h = l + -36. Let g = 57 + -48. Is h >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118 - -114. What are the prime factors of (1113\/q - -1)\/((-6)\/24)?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m - 46. Give q(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (161 + -152 - (1 - -11)) + -13\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11403, -13651, -15885, -18099, -20287, -22443, -24561, -26635?\nAnswer: -28659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(11) - (sqrt(891) + -1)))*5 + (-1*sqrt(121)*4)\/(sqrt(77)\/(sqrt(7)*1)).\nAnswer: -44*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17145 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -130. Suppose -3500000 = -5*u + 5*r, -6*u + k*u + 5*r + 700000 = 0. Round u to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 3:35 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {y: 4, c: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/(11\/33). Suppose -2*b = -i*o - 142, -2*o - 384 = -5*b - 17. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61 or 59?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.2 + 0.8. Let j = 11.3 - g. Let h be -2*((-6)\/3)\/(-6). Is h at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 842 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 27*o + 8 = 0. List the prime factors of 7\/(49\/1876) + (-1)\/o.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 2:04 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -14. Calculate the greatest common divisor of d and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8292961, 8292963, 8292965, 8292967, 8292969?\nAnswer: 8292971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28387 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 17*s - 23. Let p be r(30). Let l = -449 + p. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p - 168 = 64*p. What is the remainder when 55 is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 452 - 451. Sort o, 4, -57, -3 in descending order.\nAnswer: 4, o, -3, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 + w - 74. Give h(8).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chrr when four letters picked without replacement from {h: 4, r: 2, x: 1, c: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14cdb - -30?\nAnswer: -14cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + k**2 + k + 1. Let l be s(-1). Let z = 0 + l. Let j = 62\/65 + -2\/13. What is the closest to 0.1 in -1, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:44 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -371 or -370?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 253582367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 18*g - 1049. What is t(45)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20703632 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*b + 55*b + 40*b as o*b + l and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 801178078 minus -0.1?\nAnswer: 801178078.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -11.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/(-56))\/(16\/(-14)). Factor -3\/2*r**3 - 9\/4*r**2 + 0*r + g*r**4 + 0.\nAnswer: 3*r**2*(r - 3)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*a + 289*a + 76432 = 627*a + 315*a for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 1, c: 2, i: 2, n: 1, s: 1}. Give prob of picking 1 l and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 762861*b**4*m - 4*b**3*m**2 - 14*b*m**2 - 3*b*m - 7*b + 11*m**2 - 5 wrt b?\nAnswer: 9154332*b**2*m - 24*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = -2*n, 0 = -3*n + 4*h - 9 + 29. Let o be 0\/(12\/4 + -2). Solve 2*a - 2 + o = n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 34 + 65 + 5*t**3)*(1 + 8*t**2 - 1).\nAnswer: 40*t**5 - 56*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*v = 5*m - 6*v + 30, 0 = -3*m + 8*m + 3*v + 38 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k - 55*k + 20898 + 16*k**3.\nAnswer: 16*k**3 + 20898","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -106, -198, -302, -424, -570, -746, -958?\n\"Answer: -h**3 - 85*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-46368)*-23*6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 4) to base 3.\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -1146.\nAnswer: 4\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -20*f - 9. What is the units digit of b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, 0.1, -3\/17, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -2\/37, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 27*v + 30*v = -28, -4*i + 2*v + 20 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -53825, -107722, -161619, -215516, -269413, -323310?\n\"Answer: -53897*c + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243226892?\nAnswer: 2, 449, 135427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aowaiuo. What is prob of picking 1 i and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + h**2 - 7 - 2*h**3 - 4*h**3 + 6*h**3 as k + t*h**2 + b*h**3 + d*h**4 + s*h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**2 - 60*n = 0. What is n?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 268\/((-16)\/4). Let j = -64 + z. Suppose j*y = -b + 183, -240 = -2*y - 3*y - 5*b. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 20101003?\nAnswer: 20100333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5027590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1260 and 693?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Let f(b) = -1. Let l(q) = 31*q - 1. Let o(y) = -4*f(y) - l(y). Let k(s) = 78*s - 13. Let t(m) = 5*k(m) + 13*o(m). Give c(t(d)).\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 3*g**2 - 2. Let w be f(-3). Suppose -5*a + 3*a = -w. Solve -4*v - 6 = -a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 444*b*l**3*o**2 + 5*b*l**3 - 2*b*l**2*o**2 + 2326*b*l + 47*l**3*o**2 - 93*l*o**2 wrt l.\nAnswer: 2664*b*o**2 + 30*b + 282*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/3 + 17*b**2\/6 - 2*b\/3 = 0.\nAnswer: 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 15*p**2 - 4*p - 102. Let n be j(-14). What is the highest common divisor of n and 375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.518155ml in litres?\nAnswer: 0.003518155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1003161mm in micrometers?\nAnswer: 100.3161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*u = -28, q + 4*u - 12 = -2. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -37?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2019 - -2108.1. Let i = 0.016 + -81.016. Let b = i + n. What is b rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27840?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 2, u: 7, r: 3, n: 5}. What is prob of picking 1 p and 1 u?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 70*c + 3252. Let s(x) = 2*x. Calculate f(s(m)).\nAnswer: 140*m + 3252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4227 rounded to 1 decimal place?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 1\/112*w**8 + 0*w**3 + 1\/4*w**5 + 0*w - 3\/40*w**6 - 1\/70*w**7 - 4*w**2 + 0 - 1\/4*w**4. Factor t(a).\nAnswer: 3*a*(a - 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 48 - 102 - 120 = 6*w + 7*l, -110 = 2*w + 2*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78184, -156370, -234556?\n\"Answer: -78186*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*-1)\/(2\/(-123)). Suppose -3*q + 95 = -5*b, p = 4*q - 5*b + 2*b. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1304 + 2139. Suppose 3*z + q = 8*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/8 + (-81)\/2. Let g be (-144)\/c + (-4)\/(-10). Let j be 5\/2*-3*(-1160)\/725. What is the highest common factor of g and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140799265 by 28159853.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5626\/5 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13 - 5\/1)*8\/6. Let r be (-9)\/k*4*1028\/6. Suppose 0 = 4*t - r - 63. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((163\/(-2934))\/((-3)\/(-6)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 + (6\/2)\/1. Let h be 20\/(-140) - k\/(-14). Solve 0 = j + h + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**4 + j**4 + 4*j**4 + (4*j + 3*j - 2*j)*(-22*j - 9*j + 10*j + 4)*(1 - 1 - j)*(5*j - 5*j + 3*j).\nAnswer: 316*j**4 - 60*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m - 1. Let z(d) = -8*d**3 + 52*d**2 - 172*d + 80. Let q(n) = 24*j(n) + z(n). Let q(c) = 0. What is c?\nAnswer: 1\/2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2561 + 2393 = -14*l. Solve -3*t = l*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(1\/7))\/z)\/z*z)**(-2)*z*z\/z**(-1\/16)*z**(-1\/12) assuming z is positive.\nAnswer: z**(761\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/13)*g*g*g\/g**(-12)*g)\/(g**(-11)\/g*g**19\/g) assuming g is positive.\nAnswer: g**(141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 3, w: 15}. What is prob of picking 1 w and 2 r?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/7 + 18719940*n\/7 - 18719943\/7.\nAnswer: 3*(n - 1)*(n + 6239981)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -322946\nAnswer: -9688.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 12 - m - m.\nAnswer: -2*m + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -14140233?\nAnswer: -14140242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(20)\/(sqrt(10)\/sqrt(2))))\/(4*sqrt(27)*-1))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g - 3. Let r be t(-1). Suppose k - 4*w = -3*w + r, w - 77 = -5*k. What is the remainder when 28 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6999.7 - 7472. Let z = 706 - 288. Let u = s + z. Round u to zero dps.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5431, 21178, 47317, 83848, 130771, 188086?\n\"Answer: 5196*j**2 + 159*j + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37033 is divided by 482?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6913613*l**5 + 11717*l + 2 wrt l?\nAnswer: -138272260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*v + 17, 3*v + 628 = -x + 645 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 15. Suppose q = -5*v + 23. Suppose -4*c = -5*a - 19, -2*c - 4*a = 3 - 19. Solve c*t = v*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d2c + -bcb?\nAnswer: -1a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 466095348?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 45*f**3 - 6540*f**2 - 4375*f - 730 = 0?\nAnswer: -1\/3, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-39)*(-306)\/10*17890\/7156\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*b + 59. Let x = -5 - b. Suppose 3*j - x - 15 = 0. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 13. Let t be b(-9). Let p(h) be the second derivative of 2*h - 1\/3*h**3 + 0*h**2 - 1\/4*h**t + 0. Find the second derivative of p(w) wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 391 = z, -4*z = k - 6*k - 1600. Suppose -2*i = f - z, -7*f + 5*f = -5*i + 1010. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 301 - 300.04. Let b = 139.98 + -142. Let x = i + b. What is x rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2510 and 11\/10534470?\nAnswer: 10534470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 197, -182, -801, -1660, -2759, -4098, -5677?\n\"Answer: -120*j**2 - 19*j + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 13 = -0*v + 2*f, 3*v = 2*f + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 125\/35 - 6\/(-14). Suppose 0 = -q*a + 14 + 2. Suppose -l - 2 = -0*l - h, 3*l - 14 = -h. Solve -a*s - l = 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.977 minus 6.47?\nAnswer: -136.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*(t**(-2)*t)\/t)\/((t*t**(-3\/2))\/(t*t**(1\/2))) assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 587.012 - 593. Let n = y + 0.988. What is the biggest value in 2, n, -0.018?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-2 - (-1 + -7 + 4 + -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + -1.3. Let t = -1126\/9 - -125. What is the nearest to t in 4, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-72)\/(-14) - ((-120)\/(-12) + -4))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*z - 3*j, j = 2*j + 3. Suppose 0 = -2*t + 2*i + 12, -2*t + 5*i + z = t. Solve -5*w + 17 = 2*k, -2*w + 3*k + 2 = -t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + -2 + (-33 - -20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*x - 12 - 56 = 0, -5*n = 5*x - 120. Let p = -2727 - -2747. Calculate the greatest common factor of p and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/8)\/(m*m**(2\/7)\/m*m))\/(m**(1\/4))**4)**6 assuming m is positive.\nAnswer: m**(-405\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = -u + 19, 4*u - 16 = 0. Suppose j*o - 510 = 5*g, 0*g - 2*o - 115 = g. Is (-26229)\/g + 4\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 89. What is the third derivative of -b*t**2 + 65*t**3 - 21*t**3 - 27*t**3 - 24*t**3 wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 17*l - 72.\nAnswer: (l - 72)*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 2, c: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2426 + -2436. Let q(v) = v**3 + 11*v**2 + 12*v + 1. Determine q(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7, i: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 12*q - 2. Let z be a(12). Let g be z\/7 - 176\/(-77). Suppose 4*p - 2791 = -t, -g*p - 3482 = -7*p + t. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/18*22\/11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -1, -16, -37, -64, -97, -136?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -177281914 times -3\nAnswer: 531845742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**6\/33 - 4*d**5\/55 + d**4\/22 - 30. Find t, given that s(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 + 119 - 2*i**4 - 220 - 4*i**2 + i**3 + 110 in the form h*i**3 + a*i + v*i**2 + c*i**4 + z and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*4 + 2 - sqrt(343)) + 3 + -5 + 2)**2.\nAnswer: 84*sqrt(7) + 3091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 3524*r**3 - 28000*r**2 + 55872*r.\nAnswer: -4*r*(r - 873)*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/14470 and -55\/18?\nAnswer: 130230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20120 (base 3) in base 8?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmd when three letters picked without replacement from {d: 5, m: 2, w: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8565, 35053, 79467, 141807, 222073, 320265?\n\"Answer: 8963*p**2 - 401*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01282 * 0.3502.\nAnswer: 0.004489564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 18*t - 60. Let k be y(-10). Let v = -7 - -11. Calculate the highest common divisor of v and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -54. Suppose 5*d = -z, 5*b = b - 4*d + 8. Let t be (-3)\/((-12)\/20) - b - -2. Solve -5*q = -t*v - 14, -q - 2 = -5*v + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + g + 6*g + g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -148, -241, -354, -493, -664, -873, -1126?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-245))\/((-11)\/2 + (-20979)\/882 + 29)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -5. Let g(j) = -j**2 + 4*j - 2. Suppose -2*r + 7*r = 20. Let d be g(r). What is the biggest value in b, 2\/9, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66854, -133826, -200872, -267980, -335138, -402334, -469556, -536792?\nAnswer: -604030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 3*l - 17. Let q be 4\/(-34) - (-1072)\/(-136). Let w be a(q). Suppose -w*u = -5*u - 52200. Round u to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/352*-40 + (-58)\/8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f + 3. Let a be o(-7). Let s = -74227\/16 - -4644. What is the common denominator of s and (31\/60)\/((-2)\/a)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 24*j**3 + 6*j**2 + 8*j + 10. Let p(l) = 2*l**3 + l**2 + l - 1. Give -i(q) + 6*p(q).\nAnswer: -12*q**3 - 2*q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (109 - 33 - 67 - (-8 + 1)) + 0 + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16274*v**2 - 10651*v?\nAnswer: 32548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 20\/3 (b) 4 (c) -1\/2 (d) -12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21982\/45 + -2428\/5. Let p be 108\/(-165) + (6 - 3). Let f = 17\/11 - p. Find the common denominator of l and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2755365 + 418?\nAnswer: 2755784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*1*-36. Suppose 3 - u = -5*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39117 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379\/9 + -1363\/36. What is the common denominator of (65\/6)\/(0 + -1) and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2419 + -2417. Let x(w) be the first derivative of -5\/2*w**6 - 6*w**l - 12 + 0*w**4 + 0*w**3 + 0*w + 0*w**5. What is the second derivative of x(o) wrt o?\nAnswer: -300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -3a?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 495*t**6 + 38*t**2 + 5 wrt t?\nAnswer: 59400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -13 - 2. Let a(o) = o**2 + 3*o + 1. Let q be a(g). Let v be ((-1)\/11)\/(1\/(-2)). Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3487 + -3449. Solve -w*q = -47*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*g = 3*g - 387, -5*g = -30. What is the greatest common divisor of 247 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 3, 20\/11, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) 22 (c) 219 (d) 2 (e) 63 (f) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 22782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-67570)\/9786 - (30\/63)\/5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 561*l - 566*l - 17, 3*u = -3*l - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14 + 0\/2 - 0\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 26*d + 45. What is l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 + 3*s**5 - 3*s**5 + 3*s**5 + 12*s**5 - 5*s**5 + (-s**4 + 4*s**4 - 2*s**4)*(-5*s - 8*s - 2*s) + 3*s**5 - 3*s**5 - 5*s**5.\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 0.4 (c) 5 (d) 3 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -444079602*t**2\/7 + 119208*t\/7 - 8\/7 = 0. What is t?\nAnswer: 2\/14901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/16474 or 1?\nAnswer: -5\/16474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6433*k**2*w*x - 1241*k**2*w - 3*k**2 + 2*k*w*x + k*x - 7*w*x - 64 wrt x.\nAnswer: -6433*k**2*w + 2*k*w + k - 7*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186496 is divided by 1187?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-170)\/5))\/((-3)\/(-12)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = 54. Suppose -3*z - k = -0*z. Let y = z + 24. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28243078769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2126 - 1064. Does 31 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260*j**4 + 650*j**2 wrt j.\nAnswer: 6240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7*j - 42 = 0. Suppose j*k + 229 = -142. Let w = k + 87. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - k = -839 + 139, -y - 5*k + 116 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 1, h: 2, x: 2, a: 9}. Give prob of sequence xxhm.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.44, -22.7, -0.1 in decreasing order.\nAnswer: 0.44, 0.3, -0.1, -22.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5 = 2*q, -4*q + 33 = 60 - 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.5, -10.1, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*c**3*l**2*z**3 + 513*c**3*l**2*z + c**2*l**2*z + 2*c**2*l*z**3 - 288*c**2*l*z**2 + 30*c*l*z**3 - l*z**3 wrt c.\nAnswer: -438*l**2*z**3 + 3078*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-269\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2793 is divided by 1391?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 157194143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16714 is divided by 3335.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 150 = 28*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 769767 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-36)*648\/(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 484 and 416460?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - 4) + -69 + (8 - 20) + 18.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1\/(1\/(-4)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**10\/75600 + t**6\/180 + t**5\/20 - 6*t**2. Let q(j) be the third derivative of z(j). What is the derivative of q(v) wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 8*l - 588. What is s(-15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-4)\/(-72)*(25 - 22). Let p = 4 - 0. Which is the smallest value? (a) -5 (b) p (c) i (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12150*x**2 - 161*x + 4044*x**2 + 4036*x**2 + 4037*x**2 as l*x + g*x**2 + w and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308266844 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 81809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*a)*(115*a - 799*a - 105*a + (-1 - 2 + 5)*(0 - a + 0)).\nAnswer: -2373*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2765 - -2888. What is the nearest to x in 1, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -536, -1075, -1614, -2153, -2692, -3231?\n\"Answer: -539*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 - 243*m**2 + 3*m + 243. Let x be a(-81). Solve x = -31*i - 109 + 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -18*r + 450. Let s be c(25). Solve -7*j + 35 = -s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/196*-7*28\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Let w be -123*(5\/(-15) - z). Suppose -w + 21 = -4*l. Sort -2, l, -5 in decreasing order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -1\/2*f**3 - 1\/72*f**4 + 1\/360*f**6 + 4*f + 0 - 8*f**2 + 1\/20*f**5. Factor l(w).\nAnswer: (w - 1)*(w + 1)*(w + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 115, 4, 0.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.42 + -760.58. Let w = v - -762.9. Put w, -2\/7, 4, -1\/2 in decreasing order.\nAnswer: 4, w, -2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 233*g**2 + 2. Let k(o) = 4*o. Calculate u(k(d)).\nAnswer: 3728*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2774*q - 152. Let y be r(18). What is y rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1073805?\nAnswer: 536902.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9807 and 48.\nAnswer: 156912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 - 23\/(-5). Suppose k = 4*n + 21. Suppose 14 = 4*a + 2*r, 8 = 3*a - 26*r + 27*r. Sort -5, a, n in ascending order.\nAnswer: -5, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/306 and -53\/133605?\nAnswer: 4542570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 77*m + 4930. Calculate the remainder when h(-116) is divided by 110.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743.208 millilitres to litres.\nAnswer: 0.743208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/7*1)\/(8\/(-28)). Put -15, w, 4 in increasing order.\nAnswer: -15, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 + 5*d + 2. Let h be v(-8). Let k = -106 - h. List the prime factors of 995\/10*2 - k\/(-2).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1251276 - 0?\nAnswer: 1251276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*s - 7991 + 3275 = 3690 + 11544 for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 6*h. Suppose u + 3 - 7 = 0. Solve h*a + a = -u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 4562*h**3 + 4326*h**3 - 3*h - 6885*h**3.\nAnswer: 2003*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 13*m**2 + 3*m - 3. Let i be q(2). Suppose 7*o - i - 36 = 0. What is the remainder when 37 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let y = 9 - 11. Let g be (1\/y)\/(2 + -1). What is the nearest to o in g, -0.1, 1\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9530 + 9498. Sort c, -5, 17 in descending order.\nAnswer: 17, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258316 minus -5?\nAnswer: -258311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7412*z - 7416*z = -7*j - 60, -33 = 4*j - z for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 3*x**2 - 3*x - 3. Let y = 773 - 479. Calculate the lowest common multiple of l(-3) and y.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058497015.\nAnswer: 5, 31, 887, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 9. Let i be (10 - c)*10\/6. Let f be ((-2)\/10)\/((-4)\/i). Solve n = -a + f + 6, n = -2*a + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**36*u)\/(u**(5\/3)*u))\/(u**(-12)*u)**32 assuming u is positive.\nAnswer: u**(1159\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 19*p + 19. Suppose 45*y = 36*y - 180. Determine k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-21)\/(l**(-2)\/l) assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a week in hours?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(33)\/sqrt(3)*5.\nAnswer: -25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 113*m**4 - 4*m**3 - 76*m**2. Let b(q) = 115*q**4 - 3*q**3 - 74*q**2. Let o(r) = -3*a(r) + 4*b(r). What is the third derivative of o(w) wrt w?\nAnswer: 2904*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0295 * -17.6\nAnswer: 0.5192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 6, 9, 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-5 - 0 - -7)) + -13\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-62))\/(899\/124 + -8)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.7 - -9.4. Put 5, -1\/10, 0.4, n in increasing order.\nAnswer: n, -1\/10, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 9. Suppose -5*c + 114 = 4*b, -b = -4*c + 9*c - 36. Let x(p) = -6*p - 3. Let y be x(5). Let m = b + y. Calculate n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 3*l - 306. Give o(31).\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/5*21\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 7. Let j = 7 - t. Let q(n) = 2*n**2 + n - 4. Is q(j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 604698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*5*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 316*c**2 - 158*c**2 - 155*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -43*l**2 + 12*l - 309. Let o(f) = -7*f**2 + 2*f. What is -m(w) + 6*o(w)?\nAnswer: w**2 + 309","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 13. Let u = 15351 - 15351.03. What is the fourth smallest value in 8, u, -3, s?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000457515 rounded to 7 decimal places?\nAnswer: -0.0000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6273 is divided by 274?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*k + 6933 = 7617 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 37*m**2 - 110*m - 2. Let k be a(4). Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 - -117. Suppose -3*x = -4*l + 2*x + 19, -2*x = 6. Is p <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 248\/16)*(1 + (-9)\/10)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (795*j - 1356*j - 1084*j)*(0 + 2*j + 0) to a*j**2 + b*j + c and give a.\nAnswer: -3290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -193 and 0.11545.\nAnswer: -22.28185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(28\/120) - 60\/15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -395ea?\nAnswer: -395e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v - 2*m = -12, 0 = -5*v - 4*m + 30. Let w(h) = h**3 - 5*h**2 - 6*h - 5. Let f be w(v). Let u(y) = y**2 + 8*y - 1. What is u(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2230307.\nAnswer: 3\/2230307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w + 4. Let v(n) = n + 5. Let r be v(0). Suppose -m = -s + 1 - 7, -9 = r*s + 2*m. Let h be a(s). Solve -h = -l - l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 + 1. Let r be b(1). Suppose 4*h + 0 = 156. Let t = h - r. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -o + 4*z, 2*z = 4*o - 2*z - 164. Calculate the greatest common divisor of 387 and o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -33 - (-4148 - -4185).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2935675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 1. Let h(m) = -9*m**3 - m**2 + m + 34. Let l(t) = -h(t) - 4*x(t). Determine l(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = s + 4*s. Let f(q) = -3*q - 8 + 15 - 3*q**3 + 3 + q**2 - 11 + 4*q**3. Determine f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49a (base 15) in base 4?\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k + 21. Let c(m) = 11*m - 23. Let u(z) = -5*c(z) - 6*f(z). Calculate u(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(2 + -12)*-8. Suppose 2*j - 218 = -j - 2*h, -k*h = 2*j - 156. What is the greatest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36270?\nAnswer: 2, 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3819 - -3827. Calculate the remainder when 82 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*h + 24016 = -803*h for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7482, -7483, -7484, -7485, -7486?\n\"Answer: -n - 7481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((3\/204)\/(6\/72)). Which is the third smallest value? (a) n (b) 9 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5 - 1941134*t**4 + 470937059598*t**3 + 30617124666030*t**2 + 481899808261872*t - 512987868046368 = 0.\nAnswer: -33, 1, 485316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) - (sqrt(245)*-2)**2 - (sqrt(605) - (sqrt(605) + 1))**2).\nAnswer: -981 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-948))\/((-7196)\/(-3084))\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose y = -4*s + 22, -12 = -5*y + 4*y - w*s. Suppose 0*m - 10 = -y*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/40*868\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -58.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*y**2 - 11141*y + 17*y**2 + 1649*y to the form f + n*y**2 + z*y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwttwwtw. Give prob of picking 2 w and 1 t.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let c(y) = 3*y - 4. Suppose 53 = -5*l - 5*j + 13, 0 = 4*l - 4*j + 8. Let m(o) = o - 1. Give l*m(x) + s*c(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 9 - (-7)\/(-21)*-10158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60835 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let n(d) = -40*d**2 - 55079*d. What is n(k(w))?\nAnswer: -160*w**2 - 110158*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -1 - -5) + 2283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*n**6 + 2742*n**5 + 2736*n**5 - 5495*n**5 - 5804*n**2 wrt n?\nAnswer: 7920*n**3 - 1020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q**2 - 4*q**3 + 2*q**3 + q**3 + 2*q**3.\nAnswer: q**3 + 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*(u**3*u*u)\/u*u**(-8)\/u**1)**(-1\/29) assuming u is positive.\nAnswer: u**(4\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 38*t**2 - 858*t + 11. Let z be j(-5). Calculate the greatest common factor of z and 445.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 - 8*o + 8. Let t(d) = -2*d**2 - 4*d + 4. Let a(v) = 5*t(v) - 3*x(v). Let n be a(2). Let w be (-4)\/8*1*n. Solve w = -7*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9402184*v**4 + 289899*v + 2.\nAnswer: 112826208*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16911 and 838498478.\nAnswer: 838481567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**3\/6 - 2*z**2 + 2*z. Let a(i) = i + 1. Let s be a(-8). What is the least common multiple of 7 and q(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41\/2 + 21. Suppose -2 = 2*u + 6. Let z be (-1)\/u + 1\/(-4). Is z at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**3\/4 + 44*a**2 - 1835*a\/4 + 2325\/2 = 0.\nAnswer: -186, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.69 - -0.99. Let q = 6\/43 - 227\/86. Which is the third smallest value? (a) q (b) v (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 10*y**2 + 0 + 24*y + 4*y**3 + 1\/3*y**4. Factor v(l).\nAnswer: 4*(l + 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 51*d - 201. Let l be i(42). What is the highest common factor of l and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttztzzztztz. Give prob of sequence tz.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2780 and 1962060.\nAnswer: 272726340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 35 = -2*h, -3*o = 3*h + 1 - 13. Suppose -4*y + 4*m = -o*y + 16, -5*m = -4*y - 20. Solve -2*u + r + y = -8, u - 5*r = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708516 is divided by 88439?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7*k**2 + 1)*(2 + 2*k**3 + 0*k**3 + 2*k**2 - k**3).\nAnswer: 7*k**5 + 14*k**4 + 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*b + 2. Suppose f + 5*x + 180 = -b*f, -3*f + 3*x = 108. Let k = -23 - f. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674633 is divided by 224853?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17\/7669800?\nAnswer: -17\/7669800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*1\/(-4)*(-104)\/(-1404))\/((-12)\/(-324)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -4\/7, 0.19?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 + 6 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 4 (b) -5 (c) 2\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/16)\/(-3)*0. Solve a = 2*d - 2 - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274227.\nAnswer: 3, 17, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 156a6538?\nAnswer: -156a653a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -7*z + 686. Calculate the remainder when z is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/12 and -55\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 26*b + 64 = 4*l, 0 = -3*l + 3*b - 12. Suppose 2*s + s = 0. Solve s = -o - 9 + l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 1 - 0\/2. Let g = -339 - -337. What is the biggest value in 0.2, g, t, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62488.38 centuries?\nAnswer: 74986056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 - 7*q + 3. Let v = 3 + 4. Let n be l(v). Let z be (-1 - (0 - 4)) + -8. Put z, n, -8 in decreasing order.\nAnswer: n, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -3 - (-5 - -5). Suppose 7 = s + b*w, 3 + 6 = 5*s + 2*w. Suppose -2*i = -11 - s. What is the remainder when 10 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 65 = 506. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 18*u = 14*u - 18277, -4*o = -2*u - 24386. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/7 - (-118215)\/259 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*z + 137*z + 12 = 5*l, 3*l - 2*z - 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14\/11 (b) -4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -19. Let v(q) = 3*q**2 - q. What are the prime factors of v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6292.718ug in kilograms?\nAnswer: 0.000006292718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -1351 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 3. Suppose 0 = -2*o + o + l. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 376, 367, 360, 355, 352?\n\"Answer: y**2 - 12*y + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7768566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10448903*0.2.\nAnswer: 2089780.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 5)*(-4936)\/32.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -536565, -536562, -536557, -536550, -536541, -536530?\n\"Answer: v**2 - 536566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -100\/579, -11\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000423494 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1816, -3631, -5446, -7261, -9076?\nAnswer: -10891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 36*g**3 - 26*g**2 + 10*g + 16. Let c(n) = -2*n + 4*n**3 - 595 + 299 + 5*n**2 - 5*n**3 + 293 - 6*n**3. Calculate 16*c(i) + 3*q(i).\nAnswer: -4*i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -5*a - 14*f + 15, 5*a - 25 = -3*f. Let d(v) be the first derivative of 0*v**a - 1\/15*v**3 + 4\/5*v - 32. Factor d(k).\nAnswer: -(k - 2)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173532 is divided by 631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 11608*w**2 - 6795*w**2 - 7031*w**2 in the form n*w**2 + z + s*w and give n.\nAnswer: -2218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-32))\/f*f**(1\/49))\/(f*f**(1\/4)*f*f)**46)**(-25\/6) assuming f is positive.\nAnswer: f**(444625\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44688179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 + 198*z**2 + 1190*z\/3 + 1786\/9.\nAnswer: -2*(z - 893)*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -209 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*l**2 + 17 - 17)*(4*l - 2*l + 0*l) - l - l**3 + l as n + z*l**3 + y*l + r*l**2 and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67286?\nAnswer: 2, 17, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 31, -588, 4 in increasing order.\nAnswer: -588, 1, 2, 4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21491, -42991, -64499, -86015, -107539?\nAnswer: -129071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.02 + -0.82. Which is the nearest to t? (a) -0.1 (b) -0.3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6588463 - 20?\nAnswer: 6588443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15\/50*2\/1*-1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*x = -4, x = -2*t + 6*x - 19. Differentiate 16 + 3*q**3 - 2*q**3 + 6*q**t + 0*q**3 with respect to q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 2*w**2 + 3*w**3)*(-338*w + 1004*w + 690*w) to t*w + y*w**4 + b*w**3 + c*w**2 + v and give y.\nAnswer: 4068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295284.\nAnswer: 2, 3, 11, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (59878\/(-52))\/(-47)*-5*(-4)\/(-10)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*d + b - 0*b, -7 = 5*d - b. Let i be 10 - 0\/(4 + d)*1. Calculate the greatest common divisor of 25 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 387415041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43328 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000866548 to six decimal places.\nAnswer: -0.000867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 2*m**2 - 38*m + 10. Suppose -28 = 10*o - 6*o. List the prime factors of z(o).\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 at most as big as -1448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 354, 115 in increasing order.\nAnswer: 5, 115, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose -5*l - 3*n = -84, q = 2*l - n - 29 - 9. Let u = -11 + l. Solve u = -4*z + 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**4\/24 + l**3\/6 - 19*l**2. Let b(v) = 5*v + 5. Let n(k) = -2*k - 9. Let f be n(-4). Calculate f*b(z) + 4*h(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*50\/(-2)*(-404)\/707.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 54 = -11*k. Let o be 6\/k - (-8)\/6. Let c = -772 - -786. Is c at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 1*-3 - 1. Suppose 48 - 4 = 4*k - 4*m, u = 3*m + 9. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96\/5 less than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17564.79nm in millimeters?\nAnswer: 0.01756479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c9 (base 13) to base 10.\nAnswer: -672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r = -312 + 496 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5743, -2, 173, 4 in ascending order.\nAnswer: -5, -2, 4, 173, 5743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/25*(-5)\/2. Suppose 0*o - 8 = 4*o. Let w = 1 + o. Put w, p, 1 in descending order.\nAnswer: p, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 435.914 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -5*w**5\/12 - 5*w**4\/12 + 15*w**2. Let b(v) = 0. Calculate v.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 8:44 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-216)*(-168)\/(-70).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21 + 2 + 0 + -3. Suppose -2*d + 4*d - 16 = -4*u, -5*u + o = -2*d. Solve -3*v - 11 = 4*h, -8*h + u*h = 2*v + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 2*d. Suppose -5*i + 12817 - 2481 = 4*s, d = -2*s + i + 5154. Let t = 15403\/6 - s. Find the common denominator of 85\/2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2 - (-3)\/3 and (-25)\/2*18\/(-80).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016703 to 5 decimal places.\nAnswer: -0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -352*h**3 + 174*h**2 + 518*h + 6. Is 136 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 38*b**2 - 3777*b - 168. Determine y(54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19565273 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -220310*u. Let f(x) = -39*x**2 - 17. What is f(z(h))?\nAnswer: -1892923347900*h**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 739439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*i - 53820 = -351*i - 1045*i for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 161.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(242)*2.\nAnswer: -1 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q. Let b(t) be the first derivative of 0*t - 181 - 2\/3*t**3 + 27*t**2. Determine j(b(r)).\nAnswer: -4*r**2 + 108*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4705647 (base 8) to base 14\nAnswer: 254b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4613 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 16133\nAnswer: -55\/16133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*o + o. Does 13 divide -20*(o - 2\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000328 rounded to 6 dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) 163075\/4 (c) -1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-507)\/(-18) + 2\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1061*b**5 + b**2 - 244*b?\nAnswer: 63660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 9714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q = 0. Let d(l) = l + 6. Let z be d(-5). Let v = z - q. Is -1\/4 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -767610?\nAnswer: -767610.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-11)\/((i*i*i**(-22)*i)\/i) assuming i is positive.\nAnswer: i**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1402 - -1550. Let u(a) = 92*a**2 - 2*a - 2. Let v be u(-2). What is the greatest common divisor of y and v?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374947\/158 - -2373. Calculate the common denominator of 33\/2 and i.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -207, -1, 4.\nAnswer: -207, -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 15*s**2 + 3*s - 14. What is m(15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.18 - 3.82. Put 0, q, 0.08 in decreasing order.\nAnswer: 0.08, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 22388, -3.\nAnswer: -13, -3, 3, 22388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54.8 + -54.8000007. What is d rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 9. Let v be s(-5). Let n(f) = 51000*f**2. Let c be n(v). What is c rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2232*o + 2233*o, 2*f - 3*o - 615 = 0. Calculate the lowest common multiple of 564 and f.\nAnswer: 59220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -217297*c**2*i**2 + 53667*i**2 - 2 wrt c.\nAnswer: -434594*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/48*-4 + -1. Which is the second biggest value? (a) 6 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6063*d + 6068*d - 4*q - 11, -5*d = -10*q - 35 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(252)*-3 - sqrt(252) - sqrt(252))\/sqrt(7))\/(sqrt(363)*3 - sqrt(363) - sqrt(363)).\nAnswer: -50*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. What is l(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 35. Let x(i) = 11*i**3 - 4*i**2. Let z(c) = -22*c**3 + 9*c**2 + c. Let m(n) = k*z(n) - 9*x(n). What is the second derivative of m(o) wrt o?\nAnswer: -66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(165)\/sqrt(3))\/(sqrt(20)\/sqrt(4)*-2)*4.\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 18*x + 111. Let i be m(-6). Suppose 0 = -i*l - 3*g + 30, -2*l - 3*g - 11 = -36. Which is the biggest value? (a) 12 (b) -0.1 (c) 1\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.58399 + 516.64499. Let g = v - 506.360993. Let t = g - -0.3. Round t to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:42 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, y: 2, k: 7, r: 3, w: 5}. What is prob of picking 1 y and 3 w?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38438 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, r: 1, u: 1, d: 3, w: 5}. Give prob of sequence da.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 231383852.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 519798348 to the power of 1\/3, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-2*x + 5*x - 5*x) + 5*x + 6 - 6 + x + 0*x + 0*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60456442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2832, -2540 in ascending order.\nAnswer: -2540, -2, 4, 2832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26915010 less than -18.357369?\nAnswer: 26914991.642631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1612\/(-8))\/(2 + (-25)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00953639999 rounded to six decimal places?\nAnswer: -0.009536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaxa when four letters picked without replacement from {x: 1, y: 1, a: 2, o: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-14)*(-14)\/54*-55474. Let f = -7190 - t. Find the common denominator of f and -20\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 13*m**2 + 10*m - 22. Let j(k) = -k**3 - 6*k**2 + 2*k + 1. Let z be j(-6). Let p be y(z). Let w = p - 105. Solve w*l - 16 - 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 11:49 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (56\/12)\/7*18. Suppose g = t + 6*r - r, 5*r + 2 = t. Suppose -84 = -t*h + 3*h. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cc5589 (base 14) to base 4.\nAnswer: -122123310211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2634758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 4\/5, -3, 0.1, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:33 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -383\/3 + 8773\/69. Do 0 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-95)\/105)\/((-100)\/70) and 103\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187 + -130. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) + 195\/9. Let t(c) = 5*c - 9. Let v be t(4). Let q = v + 22. Calculate the highest common factor of q and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1.192, -3, 5, 2\/13, -1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/522 and -197\/133560.\nAnswer: 3873240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and ((-24)\/20)\/(3\/(-170))?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.735 + 0.435. Let s = -0.1 - -0.2. Let f = s + 0.4. What is the fourth smallest value in f, v, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6654075820 to the power of 1\/2, to the nearest integer?\nAnswer: 81573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5543777 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2902816 rounded to 1 decimal place?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8321 + -8323. Sort g, 1, 2\/313, -5, 0 in decreasing order.\nAnswer: 1, 2\/313, 0, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 - 6062 = -308*j for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0235150895 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -194 - -202. Suppose 10*b = o*b. What is the biggest value in 3, b, 2\/61?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 30*h - 28*h. Suppose h*f - 9*f + 251 = 0. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*d - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4*24\/36\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40363 (base 16) to base 13.\nAnswer: -92938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 8*b - 4. Suppose 42*s - 1 = 41*s. Let u(z) = z**2 + 0*z - 2 + 3 - z. Let n(l) = s*p(l) + 4*u(l). Determine a so that n(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 2 - (sqrt(7) + sqrt(700) + -2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m**2 + 11*m - 41. Let a be l(6). Let n = 291 - a. Does 34 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 81110 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -3.53, 135?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(2*sqrt(136) + sqrt(136)))\/(sqrt(72)\/sqrt(81)))**2.\nAnswer: 49572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -44. Suppose 4*g + 5*l = 1173, -1164 = -4*g - l + s*l. Calculate the remainder when g is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.4896309 and -5.\nAnswer: -17.4481545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 91*b**2 - 1044*b - 3429. Give h(-101).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -9. Suppose 9 = -3*q - 3*l, -c*q + l + l = -6. Let w = q + 14. Calculate the remainder when 40 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689127 (base 13) to base 16.\nAnswer: 25c8bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -14 + 2. Suppose 3*x = 4*x + 3, h*o + 10 = -2*x. Let p be -1 + -3 + (-10)\/(-3). What is the closest to p in 1, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75283 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = t + 9*t. Let p = -44 + t. Suppose -x = -p - 18. List the prime factors of x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:43 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8472522?\nAnswer: 2, 3, 1412087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 20*o + 1056 + 1499 = -52*o for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2052.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -4183, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 117, 141, 181, 243?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1416*y + 771 with respect to y.\nAnswer: -1416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, d: 2}. Give prob of sequence xdx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2209, -8722, -19541, -34660, -54073?\n\"Answer: i**3 - 2159*i**2 - 43*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 1. Let j = w + -2. Suppose 2*b - 87 = -j*i + 59, -4*b = 5*i - 294. Does 28 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 10*w**2 + 3. Let g be y(-10). Let n(b) = 0*b - g*b + 2*b - 2 - b + b**2. Calculate n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:25 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4416328570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 51*c + 311. Let l be i(-6). Suppose s - 9 = -h, -7*s + 3 = -h - l*s. Sort h, -1, -74 in increasing order.\nAnswer: -74, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 4*h - 24. List the prime factors of ((-60)\/(-48))\/(2\/h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = -3*h - 3*r, -2*h + 163 = -5*r + 519. Let z be (-32)\/h*(-3)\/2. Suppose 3*u - 4 + 13 = 0. Which is the second smallest value? (a) u (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239 + 73 + 3*h**2 - h**2 + 0*h**2 to the form n + x*h + a*h**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let v be 1 + f - 505 - -2. Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 8:50 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -57, -130, -233, -366?\n\"Answer: -15*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011000001 + -1110111110?\nAnswer: -1010001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198 divided by -3.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 210 = -102. Let v be (10\/35)\/(k\/(-21)). Suppose -q = 3*q. Are v and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110889863.6628 + -0.33\nAnswer: 110889863.3328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 take away 281293?\nAnswer: -281292.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyvyyyvyy. Give prob of picking 4 y.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 1, k: 1, o: 1, f: 1}. What is prob of sequence ko?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (35\/(-21))\/(2\/(-24)). Suppose -4*b = -5*o + 23, 3*b = 4*o - b - a. Solve 3*k = 3 + o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 22643 = -13*w, -5*w - 113854 = -5*l - 569. What are the prime factors of l?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 718?\nAnswer: 718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 336768 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.7. Let o = 418651\/230 - 9096\/5. Let c = o + -12\/23. Is y at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 115. Let m = -45 - f. Let g = m - -15. Solve -5 = 3*j + g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20562 (base 7) to base 10\nAnswer: 5091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/12 - w**4\/3 - w**3\/3 - w**2 + 12*w + 41. Let n(o) = 4*o**2 - 7*o - 2. Determine -6*n(x) + 5*q(x).\nAnswer: x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21420)\/(-935))\/(-63)*3663\/18.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 281 (c) -884 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39, 28, -7, -78, -197, -376, -627, -962?\n\"Answer: -2*q**3 + 3*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in -5, -7, 0.06, 1\/6, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssssssbsssssss?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Put -3, u, 1 in decreasing order.\nAnswer: u, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1434*q*w**6 - 3203*q*w**3 - 10377784*q*w**2 + 2*q wrt w?\nAnswer: 172080*q*w**3 - 19218*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*i**2 + 6057 - 6057 + 2*i**3 + 148*i**2.\nAnswer: 2*i**3 + 119*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13*n + 26. Give c(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 4) in base 6?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.7 + -18.7. What is the closest to -1 in -0.3, 0.1, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2321 + 2321. Sort 1195, 4, k in decreasing order.\nAnswer: 1195, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(1152) - -1*sqrt(1152)) + (-1*(sqrt(15) + (sqrt(15) - sqrt(60)\/sqrt(4))))\/sqrt(5).\nAnswer: -23*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649 divided by -883?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 918\/850*8\/(-33) - 44\/(-242).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r - 6. Let i be p(0). Suppose u = 2*u - 10. Let h = i + u. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.30406 * -70\nAnswer: 21.2842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36648 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -579350*y + 241749 wrt y?\nAnswer: -579350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-1 + (-15)\/(-9)). Let b(x) = x**3 - 4*x**2 + 3*x + 5. Let n be b(a). Solve -i = -5, -l - 2*i - n = -5*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3287 = -1219*o + 1328*o - 4234 for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-12) - 2) + (-28)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1724 - 1823991\/1058. Let y = 5.93 - 4.93. Is y less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 4*g**2 - 8*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417728*t - 1417726*t - 1417726*t + 4253177*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/6))\/(q*q\/(q\/q**(-11))))**11 assuming q is positive.\nAnswer: q**(737\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1885 by -37.\nAnswer: 1885\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k. Let r(z) = 12*z**2 + 12. Determine r(j(n)).\nAnswer: 108*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21224 is divided by 2344?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7910*k**2*p*t + 86*k**2*p - 3*k*p**3 + p**3*t - 13*p**2 with respect to t.\nAnswer: -7910*k**2*p + p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -6, 34 in ascending order.\nAnswer: -6, -0.2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3114 is divided by 220.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 4*z - z + (0*z + z + 0*z)*(2 - 1 + 0) to d + p*z and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 = 2*r + 34, r = 3. Let z(c) = -c**3 + 8*c**2 - 6*c - 3. Let p be z(s). Solve p*l = 3 - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124635.5 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1723553 divided by -4\nAnswer: -1723553\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1000931, -1000928, -1000925?\n\"Answer: 3*p - 1000934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 29. Let z(u) = -2*u**3 + 8*u**2 - 2*u - 4. Let h be z(3). Is c(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 122.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591951 is divided by 192.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3333 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*i + 7*i. Suppose 0 = -6*f + 2*f + i. Calculate the remainder when 10 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/3, 0.18, -0.4, 7\/5 in decreasing order.\nAnswer: 7\/5, 0.18, -0.4, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.88018l in millilitres?\nAnswer: 13880.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94\/139 + 12491\/12510. Calculate the common denominator of 38\/27 and z.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/76 and -107\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/450 + u**4\/90 + u**3\/45 - 5*u**2. Find t such that k(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 5*w**2 - 5*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1549*l - 3101*l + 1552*l + 4241*l**3.\nAnswer: 4241*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -16 + (2 - 9) + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 61 - 69 = 0. Suppose 5*j - 12 + 31 = 2*v, b*v + 6 = 0. Is -5 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**2 - 28*c**2 + 47*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.604889 nanoseconds?\nAnswer: 0.000006604889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 142 + (-44 + 124 - 146)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*-5 + (-4 + sqrt(2) + -1 + sqrt(2) - sqrt(2))**2 - ((sqrt(16)\/sqrt(2))\/sqrt(4) - 2*sqrt(10)\/sqrt(5)).\nAnswer: -54*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 5, n: 4, q: 1, y: 1, z: 2}. Give prob of picking 1 o and 1 n.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2762996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 14. Calculate the smallest common multiple of 10 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 10*c - 7. Let t be l(6). Calculate the common denominator of -109\/14 and (-647)\/28 - t\/119.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1819540 to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwvsvwvwwww. Give prob of picking 2 v and 1 s.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 38.9. Let y = 55\/2 - 221\/8. What is the closest to r in 1, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30126 - 30038. Let h(b) = 6*b**2 - b + 11. Let w be h(-11). What is the greatest common divisor of w and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258636 and 9674?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -7*h**6\/40 + h**5\/15 + h**4\/4 + 5*h**3\/6 - 182*h**2. Let b be (-4)\/1 + 1\/1. Let r be o(b). Round r to the nearest 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001486967 to the power of 1\/2, to the nearest integer?\nAnswer: 44738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 76*o.\nAnswer: -2*o*(o + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 0.4, 0.13, 2 in increasing order.\nAnswer: 0.13, 0.15, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**3\/3 + 9*b**2\/2 - 4*b - 2. Let h be -4 + 11 + (-1 - 2). Suppose h = -i + 8. Calculate m(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 18, -18 in decreasing order.\nAnswer: 18, 2, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1115 - 453 = -8*w. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 7949. Let p(a) = 10*a. Give p(m(h)).\nAnswer: 30*h - 79490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/7 - -2\/21. Let l(z) be the first derivative of 1\/2*z**4 + 0*z**2 - m*z**3 + 0*z + 2. Solve l(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1480*m**2 + 1481*m**2 + 11*m**4 - 4*m**3 - 6 + 0*m**3 + 0*m**3 to the form q*m**3 + x*m + a*m**4 + l + o*m**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13645 take away 4382890650?\nAnswer: -4382890650.13645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313413428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7688.388 millimeters?\nAnswer: 7.688388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0 - 8 = 4*v, -v - 2*s = 6. Solve -v*l - 3 = -13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -538077635792.000002 - -538076664514. Let h = 971273 + j. Let s = -5 - h. Round s to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30667 + 73293. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbbbg. What is prob of picking 2 b and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140, -144, -152, -164, -180, -200, -224?\n\"Answer: -2*r**2 + 2*r - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 108 = -5*w, w - 146 = -5*x - 2*w. Calculate the highest common factor of 341 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 8\/3*a**3 - 8\/5*a**5 + a**4 + 0*a - 205 + 1\/3*a**6 - 3*a**2. Let q(k) = 0. What is k?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1209 - -1202) + 9 + -98?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -136249a?\nAnswer: -136249a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + 63*j**3 + 0*j - 1 - 1 - 73*j**3 in the form d*j + v + x*j**2 + y*j**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000897233349 to seven decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = 26*n - 40. Let x(z) = z + 10. Give x(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(8) + -5 + ((sqrt(34) - sqrt(2754)) + sqrt(34))\/sqrt(2) - (sqrt(85) + sqrt(85)*-2*5)\/(4*sqrt(15)\/sqrt(3)).\nAnswer: -15*sqrt(17)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/77)\/((-1)\/(-2)*120\/(-210)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*l**2*r**2 - 3*l**2 - 540*l*r + 3*r**2 wrt l?\nAnswer: -122*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = -943 - 245. Let f = d + -54. Solve f = o - 0*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y, 4*y - 9 = -2*v + 15. Let b be 37\/(-3) - v\/15. Let l = -8 - b. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-18)\/(k**3*k))\/((k*((k*k**6\/k)\/k)\/k)\/k*k*k**(4\/7)) assuming k is positive.\nAnswer: k**(-193\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -76*g - 96. Let b(j) = j - 3. Give -96*b(v) + 3*p(v).\nAnswer: -324*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-1965)\/(-9))\/(-5). Suppose -r - 107 = o. Let p = -167 - r. Round p to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1330, 2697, 4138, 5683, 7362, 9205, 11242?\nAnswer: 13503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89259398 - -89259397.64099831. Let m = 0.859 - 0.5. Let i = v + m. Round i to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 482204.9 nanograms?\nAnswer: 0.0004822049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34924, -139883, -314786, -559633?\n\"Answer: -34972*h**2 - 43*h + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/3 + 130*s**2\/3 + 133*s = 0.\nAnswer: -3, 0, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*a**2 - 3*a**2 - 11*a**2 + 2*a + 2*a**2 - 2*a + (2*a - 2*a + a)*(-4*a + 0*a + 2*a) - 1 + 1 - a**2.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -64129, -128203, -192277, -256351, -320425?\n\"Answer: -64074*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**3\/3 - 511. Let g(w) = -36*w - 1. Give h(g(d)).\nAnswer: 1296*d**2 + 72*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -361\/9. Let w be 3\/4*(-2 - (-16)\/6). Let j = -26.53 - -24.53. What is the third smallest value in s, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 60448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -15957*v + 95109. Give g(6).\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 32260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2083120 or 7\/96?\nAnswer: 7\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*u = -346*u + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 6109735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15292 is divided by 1528.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2692 * 22.\nAnswer: 59224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -139. Suppose 12*g - 43 - 245 = 0. What is the remainder when t is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3550 and 29?\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597784 is divided by 915.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13411201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5\/2, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*c**2 - 78*c + 39*c + 39*c as h + m*c**2 + r*c and give m.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -25720*m + 128598. Give a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374506 and 8294?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q + 3. Suppose q*n + 106 = 5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -76, 284, 1118, 2426, 4208?\n\"Answer: 237*b**2 - 351*b + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -412 + 92. Let h = -320 - z. Let w(u) = 5*u - 3. Let a be w(5). Solve -d = d + 4*v - a, h = -2*d - 3*v + 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277*u**2 - 23*u**2 + 152*u**2 - 85*u**4 + 49*u**2 wrt u?\nAnswer: -2040*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4566 plus -71036?\nAnswer: -75602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*k + 4, 0 = z - 0*k + 4*k + 8. Let c(l) = l**2 - 4. Let f be c(z). Let y be f\/(-12) - (-2)\/(-6). Let d(r) = -r. Give d(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.599 and -7.\nAnswer: -4.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/17799 and 47\/3141?\nAnswer: 53397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 12*j - 25. Calculate d(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2523306 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*h**4 + 50*h**3 - 15*h**4 + 106*h**3 + 20*h**4 + 0*h**3 - 153*h**2.\nAnswer: -3*h**2*(h - 51)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2423.27118 to the nearest 10.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143 and 699894.\nAnswer: 7698834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -40. Suppose 4*n - 54 - a = 0. What is the tens digit of n - (1 - -1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33\/17 + 199\/85. Which is the nearest to 2? (a) i (b) -0.3 (c) 18 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*b - 5, 0*f = f + 4*b - 1. Let i(n) = -n - 6. Let v be i(-3). Let g = f + v. Which is smaller: g or -3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 32 = -26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1523.2095923 - 1521.4696. Let l = -1.74 + x. Round l to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/239362 and 7\/2?\nAnswer: 239362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1057\/453*6\/(-189)*3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:39 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 0 - (-18 - (26 + (-6 - 44))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = r + 1, -5*o - 1 + 23 = 4*r. Suppose 2*n + 4 = -o*n. Which is bigger: n or -10\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 35. Determine c(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0593 or -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(3) + -1) - (sqrt(3) - (-3 + -3*sqrt(3))))*5)**2.\nAnswer: 600*sqrt(3) + 1075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-153.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 + 12 + 1783 + -8. Calculate the greatest common divisor of l and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 7?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303252.\nAnswer: 2, 325813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:44 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -388 - -393. Suppose 0 = -j + 5*x - 1, z*x = 13*j - 18*j - 65. Put -0.08, 1\/4, j in increasing order.\nAnswer: j, -0.08, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 3*a)*(577497*a**3 - 493*a**4 - a - 577497*a**3).\nAnswer: 986*a**5 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.69259 to 2 dps.\nAnswer: 1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 9*u - 7. Suppose -4*p + p = -5*j - 25, 4*j + p + 20 = 0. Let d be v(j). Let t = 2 + d. Solve -3*b - 2*b + 10 = t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 50. Let r = g + 6\/5. Factor -1\/5*d**4 + 3\/5*d**2 - 2\/5 + 1\/5*d - r*d**3.\nAnswer: -(d - 1)**2*(d + 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 64\/5 of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 5 + -56 + 48.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -269, -886, -2081, -4046?\nAnswer: -6973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:26 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 19*c - 77. Let r be b(4). Let x be (-2)\/6 + r*(-2)\/24. What is the second smallest value in -2\/17, 5, x?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111 - -101101011011?\nAnswer: 101011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 3. Let p be 1*(-1 + (-4)\/(-6)). Which is the closest to -2\/3? (a) p (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -17*w**6\/24 + 155*w**3\/6 + 100*w**2. Differentiate v(t) wrt t.\nAnswer: -255*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 3, -2, 13, -3.\nAnswer: -7, -3, -2, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**3 + 54*v**2 - 8*v - 5. Give f(6).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -3*o**5\/20 - o**4\/2 - o**3\/2 + 5*o - 3. Let g(r) be the first derivative of a(r). Factor g(n).\nAnswer: -3*n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/99 and -47\/63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3181*f**3 + 1464*f**3 + 312*f + 2028*f**2 - 244*f**3 + 16 - 7*f**3.\nAnswer: 2*(13*f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.287 + 0.665. Let x = n + -0.44. Let l = x - -0.011. Round l to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1656*k + 1660*k = 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 16. Determine f(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 10 in decreasing order.\nAnswer: 10, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20404*r**5 + 26*r + 202 wrt r.\nAnswer: -408080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjujujjjjjjjjj. What is prob of sequence jj?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v - 194. Calculate f(-19).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owgaaogxuauaoaaaa. What is prob of sequence au?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 15*d + 18. Let o be i(10). Let u be 1 + 15\/(-12) + (-104)\/o. Solve -4*v - u = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9658124um in millimeters?\nAnswer: 0.0009658124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 48 + 359 - 311.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -380 - -379.9. Let c = 127\/5 + -25. What is the nearest to c in -2\/3, y, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5222\/9 - -580. Let n = 0.43 + -0.13. Let u = 0 + n. Which is the nearest to i? (a) 3 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 142 + 0*o**2 + 2*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 4*c - 6. What is the remainder when 101 is divided by i(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, v: 3, t: 2, h: 3, r: 5, i: 1}. What is prob of picking 2 z and 1 h?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -511 - -760. List the prime factors of k.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558340.\nAnswer: 2, 5, 27917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb32 (base 13) to base 2.\nAnswer: -1101110111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -1\/4, 0.78, -2.\nAnswer: -2, -1\/4, 0.05, 0.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 8) in base 6?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1573) + -1)**2*4*4*4 + 4 + -4.\nAnswer: -302208 + 4224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -312556?\nAnswer: 312554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/3523?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide -171*3\/(5 - 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26688, 26677, 26650, 26601, 26524, 26413?\nAnswer: 26262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10922.19085 + -10922. What is m rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22430 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 0.9. Let y = 6 + -4. What is the nearest to b in -1, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -734653033 - 5?\nAnswer: -734653038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l**2 + 68*l + 14. Let u be o(-6). Sort u, -172, 5, -4.\nAnswer: -172, -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 2. Let p(o) = -o. Calculate -6*p(a) + v(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 6 = 3*y. Suppose -6*p = -29 - y. Suppose 5*c + 2*a = 437 - 177, -p*a = 2*c - 125. Calculate the greatest common divisor of 75 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 234 or 0?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - z**2 - 1 - 3*z**2 + 0*z**2 to the form j*z**2 + b + k*z and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116676 (base 9) to base 5.\nAnswer: -4224124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*a + 48*a - 66*a - 122*a - 108*a.\nAnswer: -376*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9362 + 0.0638. What is the nearest to 0.1 in z, -4, 0.021?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + n + 2 = 0, -26*n - 12 = -3*r - 23*n. Sort 0.02, -2\/5, r, -0.2 in decreasing order.\nAnswer: 0.02, -0.2, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121265 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 2) + (-2 + -52 - 4).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:19 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzavl. Give prob of sequence zalq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 2 + 4*c)*(2*c + 0*c - c)*(-8 + 8 + 4*c).\nAnswer: 8*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 32. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 41784 and -576 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-36)\/b*b))\/b**24*b**(-3)\/b*b*b**(2\/33)*b assuming b is positive.\nAnswer: b**(365\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1000110101 (base 2) to base 14\nAnswer: 2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*z - 8, 5*z - 2 = 2*q - 4*q. Let b(t) = 2*t - 9. Let s be b(q). Suppose -123 = -4*y - 5*w, -4*w + 20 = y + s. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12259.6 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) + -2*sqrt(95))\/sqrt(5))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 6*p. Let z be 3\/(-2)*(-8)\/(-6). Let q be (-5)\/(7 + z)*-6. Determine i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let m(f) = -22*f + 117. Determine x(m(v)).\nAnswer: 22*v - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -263*w + 1. Let t(x) = 131*x. Let f(l) = -4*h(l) - 7*t(l). Does 19 divide f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 + -161. Find t, given that 0*t + z - 1\/2*t**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -285, -496, -795, -1212, -1777?\nAnswer: -2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8953, 35806, 80565, 143230?\n\"Answer: 8953*m**2 - 6*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/7 - 1628*v\/7 + 101456\/7 = 0 for v.\nAnswer: 68, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104562 = -2*t + 6*c - 104596, 5*t + 35 = 5*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6*v - 2115. Let d be 10\/(-4) - (-2)\/(-4). Is d\/12 - v\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0. Let t = 0.1 + h. What is the nearest to -0.1 in 2\/5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/859 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-840)\/(-18))\/10*(-9)\/42*-8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.5 + -3.7. What is c rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1600919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2 + 80404*g = 0. What is g?\nAnswer: 0, 20101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/21*t**5 + 4\/3*t**2 + 4\/7*t**3 - 2\/21*t**4 + 2\/7 + 22\/21*t.\nAnswer: -2*(t - 3)*(t + 1)**4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271195 is divided by 14268?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 93 = -11*z + 179. Suppose 4*d = -4*v + 156, -3*d - 2*d = v - 19. What is the smallest common multiple of v and z?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 15*y + 11. Let u be d(12). Let f = -101\/4 - u. Which is smaller: f or 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14797*f**5 - 222*f + 6 wrt f.\nAnswer: 295940*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.8 + 13.7. Let v = l + -4.9. Which is greater: 0.4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4715 + -4715. Solve 2*h - 2*f + 23 - 33 = 0, i = -3*f - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5613400 divided by 85?\nAnswer: 66040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110 (base 3) to base 8.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -10251\/275?\nAnswer: -10251\/275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 11*m - 8. Let s be f(11). Let a(r) = r**3 + 9*r**2 + 7*r - 8. Let c be a(s). Solve 5*x = -5*u - c*x, -2*u = -4*x - 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 91, -1, 2, -99, 4, -2 in decreasing order.\nAnswer: 91, 5, 4, 2, -1, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -1\/90*v**6 + 0*v**3 - 35*v + 0*v**5 + 0*v**2 + 0 + 1\/36*v**4. Determine k so that i(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 + (-340)\/(-1232). Is 0 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1900)*-3)**2.\nAnswer: -180*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 - -53 - (-1 + -12)) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6531320 rounded to the nearest ten thousand?\nAnswer: -6530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1210)\/(-440))\/(1\/(-8)*2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 5, s: 8, e: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2993*p - 7 - 2990*p + 7.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 6*f**2 + 4*f + 9. Let z be u(3). Which is the closest to 3? (a) -4 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10051 and 118427?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*10\/(-15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0628773*0.34.\nAnswer: 0.021378282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51414.18 weeks?\nAnswer: 518254934.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/7*i**3 + 16\/7*i + 0 + 88\/7*i**2 - 22\/7*i**5 - 10*i**4 = 0.\nAnswer: -2, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 11*p - 9. Let z be n(8). Let t = z - 18. List the prime factors of 29\/4 - t\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22112 * -0.1.\nAnswer: 2211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*k - 167*k + 58*k - 670 + 56*k in the form u*k + n and give n.\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637467 is divided by 447.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*g = -9 - 55, -3*g = -3*r + 60. Suppose 0 = 4*a + r, -2*f - a = a - 122. Is f less than or equal to 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5652898, -5652897, -5652896?\n\"Answer: g - 5652899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -479, -987, -1555, -2213, -2991, -3919, -5027?\n\"Answer: -5*m**3 - 473*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2595 - 23356\/9. Let x = -4 - -3.97. What is the second smallest value in s, x, 3, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4556, 18631, 42096, 74951?\n\"Answer: 4695*v**2 - 10*v - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**7\/2940 - y**6\/1260 + 2*y**3\/3 - 5. Let v(z) be the third derivative of w(z). Let v(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -113?\nAnswer: -18\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - p - 9 = 0, -h - p = 3*h - 19. Suppose -h*x - 3*n = -24, 3*x + 0*x - 5*n = 18. Let s(m) = 3*m + 4. What is the remainder when s(6) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32531869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 5*d**3 + 15*d**2 - 5*d - 10.\nAnswer: -5*(d - 2)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*o - 8. Let c be ((-2)\/20)\/(o\/10). Let a be (-1 - 0) + -4 + (5 - 3). Which is smaller: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -17. Let k = 387 + -273. What is the remainder when k is divided by o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 49*b**2 + 4*b. Calculate the remainder when k(-3) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) -0.5 (b) 5 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29293, -29245, -29221, -29227, -29269, -29353, -29485, -29671?\nAnswer: -29917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27748077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 350 (b) -0.1 (c) 3 (d) -15 (e) 2\/7 (f) -1.39 (g) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 13 = 97. Let z(v) = v**2 - 8*v + 3. Give z(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7733? (a) 2 (b) 16\/81 (c) -5 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/((-241776)\/(-108))*-2*(-2)\/12*-2.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*x - 2)*(0 + 4 - 6)*(-11*x - 9*x + 6*x).\nAnswer: 56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - 68. Suppose -2*v = -3*z - i, 4*v + v + 3*z - 179 = 0. List the prime factors of v + (12\/(-4) - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5528 - -5405. Which is the third biggest value? (a) -11 (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -530 divided by 15742.\nAnswer: -265\/7871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 3, 1\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 43 + 2*r - 25 - 2.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -466 times -0.074943\nAnswer: 34.923438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*y = 39, -18*j + 3*y = -21*j - 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 12:41 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**2 + 5*h + 5. Suppose 20*l - 24*l + 40 = 0. Let i(p) = 3*p**2 - 2*p - 2. Let q(z) = l*i(z) + 4*k(z). Let d(v) = -50*v. Determine d(q(g)).\nAnswer: -100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 9*y = -y - y. Solve 3*m + 15 = 0, 6*a - 9*a - 4*m - 32 = y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-4 + (-14)\/(-4)). Sort 2, 5, 7, m in ascending order.\nAnswer: m, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -456 - -10772. What are the prime factors of c?\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -2*a, a = 2*f - 26. Let n(x) = -x**3 + 14*x**2. Let j be n(f). Solve l - 2*g - 3 + 2 = j, -5*g = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/3))**(-1\/9)*x**(-28)\/(x*x**0*x) assuming x is positive.\nAnswer: x**(-815\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 529300 divided by 5?\nAnswer: 105860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175886715*q**4 + 4*q**2 - 3426*q - 13 wrt q.\nAnswer: 4221281160*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 32*x. Let s(d) = 19*d**2 + 2. Calculate s(m(g)).\nAnswer: 19456*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 9) to base 7\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2189, -2203, -2217, -2231, -2245, -2259?\nAnswer: -2273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3470 + z**3 + 0*z**3 - 134*z**4 - 1762 - 1732 + 54*z**4 wrt z?\nAnswer: -320*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2951789\/448 - -52709\/8. Let q = z + 3\/64. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54282981*c**3 + 0*c + 0*c + 0*c.\nAnswer: 54282981*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 15*s + 1\/3*s**3 + 10 - 15\/2*s**2. Let q be z(14). Solve q = -3*j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59735.96 nanometers in centimeters?\nAnswer: 0.005973596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, -0.4, -279, 272, -1, 4.\nAnswer: -279, -1, -0.4, 2, 4, 14, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3521 is divided by 283.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 733619. Let m(z) = 3*z. Calculate m(p(g)).\nAnswer: 3*g + 2200857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4839*w**2. Let m(l) = 3*l. Determine d(m(j)).\nAnswer: -43551*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9f7893 (base 16) in base 8?\nAnswer: -47674223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10. Suppose 2*m - 2 - 6 = 0. Solve -u + m*u = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21112 (base 3) to base 11.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.112*571\nAnswer: 63.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**1\/c*c))**(-3\/35)\/(c*c*(c\/c**(2\/3))\/c)**26 assuming c is positive.\nAnswer: c**(-3631\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 166877827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 32*n. Let d(b) = -304*b**2 - 2. What is d(z(j))?\nAnswer: -311296*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 72 + 21 + 44 + 7. Let c(x) = 23*x**2 - 15*x. Give k(c(q)).\nAnswer: -46*q**2 + 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*j + 778 - 263 = 0, 2*b - 217 = 3*j. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 818*-2\nAnswer: -1636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239 (base 14) to base 6.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.29, -3, 0.4, 1\/3, -2\/11, -2 in ascending order.\nAnswer: -3, -2, -2\/11, 0.29, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v + 158 = 92. What is the nearest to v in 2\/9, 2, 13, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1820)\/(-2275)*(-45)\/408\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102605 (base 8) to base 7.\nAnswer: -201440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 26. Let s(b) = -3*b + 13. Let c be s(q). Let x = -4 - -4.07. Which is greater: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 2, 0, 4, -76, -171, -4 in increasing order.\nAnswer: -171, -76, -4, 0, 2, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1*-48 + 3. Let r = o + 79. Suppose 34 = z - r. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 1182*j = -1178*j - 135, -6*h - 6 = -j + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422247 is divided by 2741.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 49525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 118529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 5*a + a)*(3*a**2 - 4*a**2 + 4*a**2 + 3*a**2 - 3*a**2 - 2*a**2 + (-4*a - 2*a**2 + 4*a)*(-1 - 2 - 1)).\nAnswer: -27*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10932785 is divided by 2092.\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774527 is divided by 379809.\nAnswer: 14909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(931) + 0 + sqrt(931))*3.\nAnswer: -9 + 126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9531398 is divided by 9531356?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0949 * -0.2641.\nAnswer: -0.02506309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 41*w**2 + 9*w - 2. Let i(s) = s**3 - 26*s**2 + 4*s - 1. What is 7*i(d) - 3*r(d)?\nAnswer: 4*d**3 - 59*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607842 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102834?\nAnswer: 2, 3, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 3\/5 (c) -2\/11 (d) 1\/3 (e) -92\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 50.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 92.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u + 37*u - l = 71*u - 24, 0 = 4*l - 8 + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10961, -1\/3, -47, 4, 0.1.\nAnswer: -47, -1\/3, 0.1, 4, 10961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -7 + 45*x**4 - 42*x**3 - 36*x**3 + 9*x**2 - 5 + 36*x = 0. What is x?\nAnswer: -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154810 = -925*b + 930*b + 5*p, -4*b - p + 123863 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, m: 2}. Give prob of sequence bmb.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*t**3 + 30*t - 5 - 4 - 4*t**4 - 53*t**2 - 94*t**3 + 170*t**3 wrt t.\nAnswer: -48*t**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460169 is divided by 1777.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -39*((-170)\/12 - 77*94\/(-517))?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 1\/6, 699393?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589947713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 917755754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 3. Suppose 4*t = -3*c + d, -6 = -5*c + 2*c - 3*t. What is z in -4\/3*z**c - 2\/9 + 8\/9*z - 2\/9*z**4 + 8\/9*z**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1300241 divided by -304.\nAnswer: 1300241\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 - c**2\/3.\nAnswer: c**2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 1. Suppose 5 = i - 32. Let z = 49 - i. Let u(g) = 3*g - 29. Let h be u(z). Determine s(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -0.4 (b) 83 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81 in -0.38, 5, -1, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 p when four letters picked without replacement from {f: 1, b: 1, q: 3, p: 1, h: 2, x: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17465 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 p when three letters picked without replacement from {p: 2, o: 2, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 9 = 3*q - 3*u, -5*q = 3*u + 25. Let t(s) = s**2 - 5*s - 2. Let k(y) = -4*y - 2. Calculate q*t(g) + 3*k(g).\nAnswer: -2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232307666?\nAnswer: 2, 116153833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 84043590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90665520 divided by 5.\nAnswer: 18133104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19523 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 238 = 2*q, q - 2*q = -5*r - 140. Let v(f) = 69*f - q*f + 58*f. Let t(n) = 249*n**2. Determine v(t(a)).\nAnswer: 498*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -3*v + 63, 64 = 9*b - 5*b + 4*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*o**3 - 11*o**3 - 557*o**3 + 292*o - 302*o**3 + 433*o wrt o.\nAnswer: -4422*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 7*i - 1. Let u be o(6). Suppose -5*b = -2*a + 31, 0 = a - 6*a - 2*b + 150. List the prime factors of (-8)\/a + u\/7.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15*f. Let i(c) = 555*c. Suppose 0*l + l - 600 = 5*l. Determine l*m(x) + 4*i(x).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4478133 (base 11) to base 6.\nAnswer: 440041340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubjqbdz. Give prob of sequence ju.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.418 - 1.3. Let g = u - 1.118. What is the closest to -0.1 in 0, -2\/7, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) 1 (c) 0.1898 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/3 + -10. Which is the second smallest value? (a) t (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/3 and 39\/131216?\nAnswer: 393648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o**2 + 0*o)*(-9997*o**3 - o - 2*o**2 + 9994*o**3 - 7*o**2).\nAnswer: -3*o**5 - 9*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m + 1 = 0. Let f = 6 + -5. What is the nearest to f in 0.4, m, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + 3*o**3 + 2*o**3)*(4340 - 8693 + 4349 - 262*o) to c*o + v*o**4 + t + w*o**3 + d*o**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 22 - 9 - 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21957*q**4 + 2*q**2 + 4958*q + 3?\nAnswer: -263484*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1146 - 2294 + 1152 + 7*f.\nAnswer: 7*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3689099445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 19 + 31 = 5*t - 40, 3*t - 5*u - 30 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 + 16 - 2*g**3 + (-5*g**2 - 7*g**2 + 4*g**2)*(58 - 21*g - 58).\nAnswer: 166*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708\/(-12)*(1 - -3)*(-216)\/16 is divided by 1058?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 1010101111001?\nAnswer: -1010110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 2*y + y**2 + (14*y - 3 + 3)*(0*y - y - y) - 3*y**2 - y**2 + y**2 + 0*y**2 + y**2 - 2*y**2 + 2*y**2 - 2*y - 14*y - y**2.\nAnswer: -30*y**2 - 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36 (b) 4\/5 (c) -0.4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209*o**3 - o**2 + o**5 + 0*o**2 - 263*o**3 - 6*o**4 + 145 + 6*o**4 wrt o.\nAnswer: 60*o**2 - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-4 - c + 4)*(2515*c + 9 - 2519*c + 7).\nAnswer: -8*c**2 + 32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 - 5*j**2 + 6*j + 5 + 12*j**3 - 10*j**3. Let l be 24 + -14 + 2\/2. Suppose -2*a = q + 10, 3*q + 1 = 3*a - l. Determine z(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16937\/18 + 1867\/2. What is the common denominator of 173\/30 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*t + i + 25, 4*t + 5*i = -16. Let h(u) = -t + 142*u**2 + u**3 - 141*u**2 - 1. What is h(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+3616916\nAnswer: 3616919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4716 and 1777?\nAnswer: 8380332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -111, -3 in decreasing order.\nAnswer: -1, -3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -4*i**3\/3 + 64*i**2 + 1081. Factor l(h).\nAnswer: -4*h*(h - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193435 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -7*c**2\/2 - 4*c - 4. Let j(g) = -8*g - 5. Calculate 6*j(k) - 7*m(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + c + 27 = -4*c, 0 = -3*p + c + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -769, -3 in descending order.\nAnswer: 1, -3, -769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 16 = -10*j. Suppose 3*h - 2*c - 2 = -h, h - 2 = -c. Let u = h + 3. What is the greatest common factor of u and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*f = 0, f = 5*h - 0*f + 15. What is the nearest to -2 in 0, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 81030929503973.\nAnswer: 81030929503971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396704 divided by 46.\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2. Suppose -6 = -4*v + 2*x + 4, -4*x + 4 = 4*v. Let q(b) be the second derivative of -1\/2*b**3 - v*b + 0*b**2 + 0. Determine q(c(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(-2))\/y*y*y)*y*y)**(-34)\/((y*y**(-6\/5)*y)\/y**(-1\/18)) assuming y is positive.\nAnswer: y**(-9257\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 greater than 519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h. Let d(p) = -20*p - 2. Let c(q) = 60*q + 6. Let i(o) = 3*c(o) + 8*d(o). Give i(a(k)).\nAnswer: -40*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4510746, 4510739, 4510732, 4510725?\n\"Answer: -7*j + 4510753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Suppose -g*j = -9 + 1. Factor -2*n**2 - 2*n**5 + n - 8 - 17*n - 7*n**3 + 17*n**3 + j*n**4.\nAnswer: -2*(n - 2)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 251.334?\nAnswer: 50.2668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -203*n**5\/5 - n**2 - 6*n + 480. Find the second derivative of p(u) wrt u.\nAnswer: -2436*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.1783.\nAnswer: -0.05349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13514?\nAnswer: 2, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 135*o**2 - 2 - 79*o**2 + 123*o**2.\nAnswer: 179*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -9084, -2, 4.\nAnswer: -9084, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, -4\/11, -88, -0.121?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61767 and 8583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (3 + -2) - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 551*v**3 - 272*v**3 - 277*v**3 + 0*v**2 - 5*v + 9*v**2 + 0*v**2. Let c(m) = -m**3 - 4*m**2 + 2*m. Give -13*c(i) - 6*s(i).\nAnswer: i**3 - 2*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 - 6651\nAnswer: -6651.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z**5\/5 + 24607*z**4\/5 - 3665752*z**3\/5 - 68119188*z**2\/5 - 273691872*z\/5 - 13856832\/5 = 0. Calculate z.\nAnswer: -11, -6, -2\/39, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 265867 divided by 13993\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**3 + 5*p**2 + 7*p. Let z(a) = a**3 - a**2 - a + 1. Calculate -j(m) - 5*z(m).\nAnswer: -m**3 - 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.1 - 0.1. Let s = 47 - c. Let h = s + -17. Which is bigger: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 6*v + 6. Let s be k(4). Let x(d) = -2*d + 0*d - 2*d**2 + 0*d**2. Let j be x(s). Which is the smallest value? (a) 4 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q - 2. Let k(v) = -v + 1. Suppose -3*m - 203 = -4*a, -74 + 334 = 5*a - 5*m. Let d = a - 46. Determine d*l(u) + 5*k(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/15)\/n**(4\/7))\/((n\/(n\/(n\/((n*n**3*n)\/n))))\/((n**(-3\/7)*n*n*n)\/n)) assuming n is positive.\nAnswer: n**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01563 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddhd when four letters picked without replacement from {d: 9, h: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3800062.\nAnswer: 2, 7, 71, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -9563*v**5\/5 + 8378*v - 8689. What is the derivative of b(t) wrt t?\nAnswer: -38252*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -8 + 1. Calculate the highest common factor of 63 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 87, 152, 225, 306?\n\"Answer: 4*g**2 + 45*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 7) to base 10.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152764411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**4\/12 - s**2 - 5. Let b(v) = -13*v. What is m(b(d))?\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2960\/(-6216))\/((-5)\/(-6))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1, 2, 102, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 + 2034.0641811.\nAnswer: 2373.0641811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -499*d**2 + 398*d**2 - 115 + 117 to the form n*d**2 + g*d + q and give n.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3413*t + 37545. Determine s(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t**2 + 6*t**2 - 3*t**2.\nAnswer: -41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2550*-34*1.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -284, -124, 36?\n\"Answer: 160*q - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 32*y + 318. Determine g(-25).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(200\/355)*-2 and 53\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832\/20 + 16\/40 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 11*h**5\/30 + h**4\/8 + 5*h**3\/6 - 5*h**2. Let t(s) = -11*s**2 - 2*s - 3. Let u(i) = 5*t(i) + 3*z(i). Give u(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/(-180) - (-44)\/(-99). What is the closest to -2\/15 in q, -5, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -8*l**5\/5 + 7*l**2\/2 - 5. What is the second derivative of h(t) wrt t?\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01254587 to 5 dps.\nAnswer: 0.01255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 252 + 40 = 2*r, 268 = 2*r + d. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.5722 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 14 = 110. Let u(r) = 3 - t + 3 + 4*r. Does 14 divide u(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:06 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r + 19. Let z be n(2). Let g(b) = 1079*b + 17*b**2 + z*b**2 - 1080*b. Give g(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/18 + 11\/9. Let q be (x\/(-2))\/((-1)\/4). Suppose q*f = 7*f - 15. What is the closest to 0.1 in 0.4, f, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207305811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-5))\/(-25*(-8)\/(-120)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 603\/4 - 4005\/28. Is 9 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 15. Let o = 75.1 + -71. Let t = o + m. Which is the nearest to t? (a) -1 (b) 3\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(602\/(-387))*(-7)\/(-10)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a + 3?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnxcpcpclcnxl. Give prob of sequence nl.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -663*v + 4640. Let a be t(7). Suppose -23 = -5*o + 2. Sort o, 0, a, 11.\nAnswer: a, 0, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*d + 18 - 3, 0 = -2*z + d + 1. Let o be z - 1 - -1*2. Solve c - 1 = 1, o*c - 31 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in -0.156, -0.5, -21?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**2 + d**2 - d**2)*(-2 + 1 + 3) + (-7*d + 4*d - 5*d)*(2*d + 2*d + 9*d) in the form j*d**2 + p*d + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33733.0727027 and 0.4?\nAnswer: 33732.6727027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -27. What is the first derivative of -10*a**4 - 1 + 23 + 5*a**4 - 24*a**f wrt a?\nAnswer: -116*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y**2. Let l(b) = 16*b**2 + 21*b**2 - 38*b**2. Give l(x(c)).\nAnswer: -169*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(0 + -1) + 55. Suppose 5*i - 16*c + 17*c = 27, -4*i + 22 = c. Suppose -n = -i*b + 11. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10110\/(-1685)*(-24)\/(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 103118715 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.011 - -0.258. Let v = -1.813 - w. Let a = v + 2.151. Round a to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7210, -11446, -15710, -20002, -24322, -28670, -33046?\n\"Answer: -14*a**2 - 4194*a - 3002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*y**4 + y**2 - 20*y**4 + 20*y**2 + 25*y**4 wrt y.\nAnswer: 576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7. Let t(y) = -6. Let o(w) = 5*g(w) - 6*t(w). Let c(k) = -24*k + 69. Let x(j) = -20*j + 59. Let b(q) = -6*c(q) + 7*x(q). Calculate -3*b(l) - 3*o(l).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 4\/15 (b) 60 (c) 4 (d) 0.3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 13*c + 4. Solve 5 - 2 = 2*v + z, 4*v - c*z - 24 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -120b - -5?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjhhihyh. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13937856 divided by -7328.\nAnswer: -1902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = n + 2*b, -5*n + 126 = -5*b - 219. Let y = n - 52. Suppose y*q - 21*q + 132 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8129 and 0.61.\nAnswer: -0.495869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - o**2 + o - 1. Let r be q(1). Let h = r + 0. Suppose -4*v = -2*l - 64, -123106*l = -123104*l + 3*v - 55. Sort l, 33, h in ascending order.\nAnswer: h, l, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.06877ml in litres?\nAnswer: 0.09706877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1389 = 275. Calculate the greatest common divisor of c and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 719 - 458. What is the greatest common divisor of 841 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 2, -78.\nAnswer: -78, -68, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 6*z + z + 86.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 8. Suppose -23*n = -18*n - 680. What is the highest common divisor of u and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 + 8) - (3 + -2) - -19?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 12. Let p be l(-15). Let k(z) = z**3 - 29*z**2 + 55*z - 20. Let a be k(p). Solve a + 3 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-4)\/(-153))\/((-24)\/36).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14827.05 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-1 + 3 - (25 + (-10 - 0)))) + 95.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -1 - (2 - 2). Let n be 2*(15\/(-6))\/(-1). Suppose 0 = -o + n*o + 8. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*u - 1391 = -25*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1412737 - 0.141. What is w rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1459.78817\nAnswer: 291.957634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1587157 and 242?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-87)\/(-5) + (-12)\/30. Let x = p - -1. Solve -3*y = -x + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 6*x - 10 + 5*x + 8*x. Let g be m(3). Solve -2*k = g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514320 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:33 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p. Let a(x) = p + 0 + x. Let l(n) = n**2 + 8. Let t(b) = b**2 + 5. Let f(i) = -5*l(i) + 8*t(i). Determine f(a(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.028 + -0.0311. What is b rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22240391 is divided by 1336.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*l**3 + 175*a*l**2 + 67*a*l + 5*a + 39*l**3 + 171*l**2 + 2*l wrt a.\nAnswer: l**3 + 175*l**2 + 67*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.075078 centuries to years.\nAnswer: 407.5078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = n. Suppose -5*x + d - 15 = 0, 0 = -5*x + d + n*d - 35. Let c = -6 - -10. Sort 0, c, x.\nAnswer: x, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -3889\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5\/(-45)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*162\/(-378)*(-140)\/(-21)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3802.85882439 take away -0.1?\nAnswer: -3802.75882439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 32*t + 72 = 8*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*1*45\/(-27). Let k(w) be the second derivative of 4\/21*w**7 + 3\/5*w**6 - 2*w**3 - w**2 - 4\/3*w**4 + 0 - r*w + 1\/5*w**5. Factor k(s).\nAnswer: 2*(s - 1)*(s + 1)**3*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -100?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 261 - 183. Is 26 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 654 - 691.3. Let g = f + 53. What is g rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07 and 0.057611074584?\nAnswer: 0.012388925416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 5. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 + 4*f**4 - 4*f**4 + (-2*f**3 - 3*f**3 + 4*f**3)*(-4137 + 4137 - 862*f) to c*f + w*f**3 + h*f**4 + k + l*f**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -20, 0 = y - 3*q + 8. Suppose i - 15 = -2*c + y*i, -5 = -c + i. Solve -j + c*j = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-84721)\/(-63) - 7 - 4\/(-18)?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + -49. Let w = x + -15. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37548794123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41\/8 in 1, 7, -301, -0.03, 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/5 (b) -1852 (c) -0.5 (d) 0.2 (e) 0.5 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o + 38. Calculate the remainder when 2053 is divided by u(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9564 and 1642617?\nAnswer: 2391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-16)*(-32)\/54)\/((-90)\/(-405)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*k - 2*t, 6 = -4*k + 5*t - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/42, 5, -0.1?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-1)\/((-2)\/(-4)). Suppose -5*d - 4*b + 22 = 0, -2*d - 4*b + 7 = -3*b. Let x(z) = -19*z**2 + 20*z**d - 2*z - 3 + 0*z - z. Determine x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145053\/241755)\/(((-10)\/15)\/((-5)\/(-12)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1285*c + 5. Let s(g) = 4*g + 10*g + 12*g + 37*g - 64*g. Give k(s(r)).\nAnswer: 1285*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3.8. Let l = 0.8000056 + i. What is l rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, l: 11, o: 1}. Give prob of sequence ol.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 + 2*l**4 - 3*l**4)*(-1 + 0 + 0) + (3*l - 3*l - 2*l**4)*(-33302 + 19989 + 20601).\nAnswer: -14578*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38510340 by -291745.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -118*r + 115*r - 3*y, 29 = 4*r + 3*y. Let k = -3368 + 5795. Suppose r*h + h - k = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 76366 - -15631?\nAnswer: 114217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1220\/13 or 1?\nAnswer: -1220\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/22 and (-53)\/18 + 19\/(-57).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1. Let p(h) = 2*h**3 - 12*h**2 + 126*h - 754. Let m be p(6). Let f(d) = 7*d - 1. What is m*s(x) - f(x)?\nAnswer: -7*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -444, -807, -1476, -2553, -4140, -6339, -9252?\nAnswer: -12981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4353, -8690, -13035, -17394, -21773, -26178, -30615, -35090?\n\"Answer: -b**3 + 2*b**2 - 4336*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + i + 15 = 0, -2*j + i + 15 = -2*i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, 5\/2, -0.3, -552, -4 in decreasing order.\nAnswer: 5\/2, -0.3, -1\/2, -3, -4, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 1. Let j = -7 - -9. Let v(b) = -2. Determine j*w(q) + v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -25232.3899.\nAnswer: -25236.3899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-3 - -19) + -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 296, 1167, 2620, 4655, 7272, 10471?\n\"Answer: 291*j**2 - 2*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -5, 3, -2\/33 in increasing order.\nAnswer: -5, -2\/33, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -199.1 - 0.1\nAnswer: -199.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101300 + -2?\nAnswer: 101232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*340\/(-544)*(-4)\/(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -603 and -400084.\nAnswer: -400687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**5 - 2*b**6 + 3*b**5 - 3*b**5 + 17*b**2 wrt b?\nAnswer: -240*b**3 - 780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:45 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 r when three letters picked without replacement from lqlrlrsrrlrsllrqrrl?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23417397 and 9544?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202879, -1622963, -5477467, -12983599, -25358567?\nAnswer: -43819579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:31 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341\/2 + (-145)\/(-58)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b**3 - 38*b**2 + 202*b - 317. Let q(z) = 3*z**3 - 13*z**2 + 68*z - 106. Let c(s) = -4*d(s) + 14*q(s). Factor c(y).\nAnswer: 2*(y - 6)**2*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.443 + -3.4431611. What is p rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7))**(1\/32)*((l\/(l**(1\/3)\/l*l)*l)\/l)\/((l\/l**(1\/7))\/l) assuming l is positive.\nAnswer: l**(269\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*n**3 + 11*n**3 + 14*n**5 + (-2*n**2 + 5*n**2 - n**2)*(4*n**3 - 3*n**3 - 3*n**3).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27781080?\nAnswer: 2, 3, 5, 37, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*-3*9\/(108\/88). What is the highest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g**2 + g. Let r(o) = -2*o + 11. Let c be r(5). What is the lowest common multiple of 9 and d(c)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {y: 2, j: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 572914 and -3.\nAnswer: -1718742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48*(5 - 1\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + 234?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-10)\/20)\/(100\/16 + -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/3)\/(10\/(-15)). Let i(b) = -4*b + 4. Does 18 divide i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 3*i + 10. Suppose -608 = -4*k + 228*q - 223*q, -2*q + 727 = 5*k. What is the remainder when k is divided by g(-8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u - 9. Let c be b(-1). What is the units digit of (-24)\/4*8\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 - 106\/10. Let o(z) = 6*z**2. Suppose 2*u - 7 - 13 = -3*n, -8 = 2*u - 4*n. Let k(p) = -u*p**2 + 3*p**2 + 3*p - 3*p. Give f*k(q) - 2*o(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1, 1940, -4 in ascending order.\nAnswer: -4, -3, -1, 4, 1940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 - 146. Suppose -f*u - 3*u = -u. Solve -5*m - 4*i = u, -4*m - 2*i - 6 = -0*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1\/5 in descending order.\nAnswer: 2, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in 4, -0.4, -3, -2\/77?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7811\/4 - -39063\/20. Which is the third smallest value? (a) i (b) -5 (c) 0.2 (d) -2 (e) -2\/95\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-14) - (-6 + 42\/7). Factor 2\/7*q + 4\/7*q**2 - f - 2\/7*q**3.\nAnswer: -2*(q - 2)*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.96 + -1.04. Let v(f) be the second derivative of -f**4\/12 - 4*f**3\/3 - 5*f**2\/2 - 3*f. Let z be v(-7). Sort -0.4, l, z in descending order.\nAnswer: z, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3314*g**3 + 3*g**2 - 11*g + 3. Let m(f) = -2*f**3 + f**2 - 3*f + 1. Calculate -3*m(s) + o(s).\nAnswer: -3308*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402092807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 42*q + 265. Determine z(28).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8 = -t, 35*s + t + 8 = 32*s. Let i(g) be the third derivative of -g**5\/20 + g**4\/24 + g**3\/3 - 6*g**2. Give i(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1927014795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/40 - w**4\/6 + w**3\/4 - 8*w. Find y such that q(y) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/11 (b) 0.01 (c) -0.3 (d) -13 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 8*i**3 + 2*i**3 + (5*i**3 - i**3 - 2*i**3)*(4 + 0 - 2).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41.087 - 0.087. Let n = -52.5 + z. Let v = n - -11. Which is the second smallest value? (a) v (b) 2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165242.\nAnswer: 2, 7, 11, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.7 + 17. Which is the nearest to s? (a) -1\/2 (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 184926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6144426 > -6144427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 44*f**2 + 92*f + 45. Let w(h) = 80*h**2 + 187*h + 93. Let t(o) = -11*j(o) + 6*w(o). What is t(28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 184\/(-48) + (-1 - -5). Which is the third smallest value? (a) g (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 20 = -7*b - 5*h, 3*b - h = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n + 17 = -5*t, 5*n = 4*t + 30. Let m(j) = 5*j**2 - 4*j + 5. Let z(c) = 26*c**2 - 20*c + 26. Let p(v) = 11*m(v) - 2*z(v). Give p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 4*k**5\/5 - 18*k - 16. What is the derivative of u(f) wrt f?\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(-13\/3))\/v))\/(v\/v**(-2\/7)*v))\/((v*(v*v*v\/v**15)\/v)\/((v*(v*v\/(v**(-1\/5)\/v))\/v)\/v)) assuming v is positive.\nAnswer: v**(1811\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19889 divided by -6\nAnswer: 19889\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + 6*(-2 + sqrt(1377))*3 + 3 + -5 + 0)**2.\nAnswer: -11340*sqrt(17) + 447368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 1855.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*f + 16 = 0, 5*s - 7 - 9 = -4*f. Suppose s = p + 5*r + 16, -p - 2*p = 2*r - 4. Let u be p\/18 - 170\/(-45). Solve u*c + 0*c + 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 147. Let z = -76 - y. Suppose z*p - 360 = -2*p. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*l - 2768*l + 1112*l + 1079*l.\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 124, 184, 244?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 23140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 5*w**2 - w + 1. Let k(h) = h**3 + h**2 + h - 1. Suppose -63*n + 28 = -49*n. Determine n*k(m) + 2*r(m).\nAnswer: -2*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + 11 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 + 4612*v + 119920\/13.\nAnswer: -2*(v - 29980)*(v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80 or 4859\/60?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135036 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t = -35*t + 732435 + 62815. What are the prime factors of t?\nAnswer: 5, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 203202*m - 129218 wrt m?\nAnswer: 203202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (-26)\/6)*-18. Let t(h) = -h - 5 - 19*h - j. Is t(-9) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdxk when four letters picked without replacement from {v: 8, c: 3, t: 1, k: 2, d: 1, x: 1}?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11*s**2 + 8*s - 8. Let l(m) = 5*m**2 - 4*m + 4. Let g(v) = -4*d(v) - 9*l(v). Let x(i) = 10*i**2 - 45*i + 45. What is 45*g(p) + 4*x(p)?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a1 + -4?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 2*z - 492 + 470, 0 = -10*o + 2*z - 38 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 11*a = 3. Let v(r) = r**2 + r + 5. Let f be v(0). Suppose b - f*b - 456 = -4*y, 0 = a*y + 2*b - 317. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 6:14 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 15. What is the common denominator of 35\/16 and o*((-62)\/40)\/(-1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*h - 2*t = 70*h - 183908, h + 5*t = 91970. Round h to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3516472 divided by -18\nAnswer: 1758236\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*p**2 + 112*p - 112*p - 101*p**2 as s*p + f*p**2 + j and give f.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g**3 - 15*g**2 + 26*g - 17. Let v(p) = 5*p**3 - 7*p**2 + 12*p - 8. What is 6*j(l) - 13*v(l)?\nAnswer: l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -457\/6 - -76. Let n = 1.34 + -1.44. Which is the nearest to -2\/3? (a) 0.3 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-3)\/(12\/(-4)))\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/32 + 2\/(-8))*(-1022)\/(-657)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14003714.\nAnswer: 2, 41, 170777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*n + 4*q, 42 = -4*n + 5*q - 11. Let m = n + 19. Let f(s) = -10*s + 6*s - 6 + m*s - 4. Determine f(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*v + 1504, 3*y + 2*v - 2597 = -361. Let m = y - 653. Is -1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228038 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 36 = 2*k. Suppose -5*u = -2*u - 12. Suppose 32 + k = u*t. Calculate the remainder when 31 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = d. Which is the closest to 2? (a) 2\/11 (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120663 + 1105478\/9. Let j = u - 2160. Calculate the common denominator of (-5)\/45*(-4356)\/(-48) + (-3)\/4 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400375 is divided by 1534?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) - sqrt(48)) + (sqrt(3) - sqrt(6)\/sqrt(2))**2 + -3.\nAnswer: -3 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/804 and 173\/4140.\nAnswer: 277380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380 - 1791 + 631 - 2*i.\nAnswer: -2*i - 780","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101110001?\nAnswer: 101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*x - 44, y + 4*y - 176*x = -118*x - 214 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + -122. Let l be 56\/m - (-1)\/(-1). Solve -2*u = -l + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 126. Sort -4, o, 5 in ascending order.\nAnswer: o, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, -330, -1\/8.\nAnswer: -330, -1, -1\/8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**3. Calculate v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 18.8. Let w = h - 20. Let i = 22.7 + -23.2. What is the closest to w in -2\/7, i, 2\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -156, -163, -164, -153, -124?\n\"Answer: l**3 - 3*l**2 - 5*l - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 429 - 549. Suppose 675 = 2*t + t. Let s = t + c. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geswgsrperwpww. What is prob of picking 1 r and 2 s?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 75*c**2 - 16712*c - 16711. Calculate b(-1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42889 is divided by 132?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 133, 118, 89, 40, -35?\n\"Answer: -t**3 - t**2 - 5*t + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b - 167. Let l be z(-24). Solve 0 = 42*q - 1 + l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2*1)\/(-6))\/((-55)\/495)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 2. Suppose -m = -v - 0*v. Solve -4*f - 4 = -v*g + 4, 0 = 3*g - 4*f - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61999734 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2865 and 8448885.\nAnswer: 8448885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -260*l**2 + 781*l - 32. Calculate t(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 60480*0.17\nAnswer: 10281.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1, -37, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-1\/42) assuming q is positive.\nAnswer: q**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1273277*g. Let s(b) = 14*b. What is s(c(m))?\nAnswer: 17825878*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 407 + 237 = -104. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (-869)\/77)*(-28)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2223 (base 7) in base 8?\nAnswer: -1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2294602036.\nAnswer: 2, 967, 593227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716250520.\nAnswer: 2, 5, 17906263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126977 is divided by 62022?\nAnswer: 2933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**3 + 917545*g**2 + 35776450*g - 36694000 = 0.\nAnswer: -183470, -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/17 + 322604*u**2\/17 - 5807558*u\/17 - 6130160\/17 = 0?\nAnswer: -161320, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-1 - -1 - 3). Let c be ((-3)\/(-1) - y)\/3. Suppose -2*x + 0 + 10 = c. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -3 - (-5 + 1)) + 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*n = 34984 - 102120 - 456816. Calculate the lowest common multiple of n and 64.\nAnswer: 14656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w + 8*w + w**3 - 693623 + 693621 + 2*w**2 - 119*w**4 to the form r*w**4 + j*w**2 + z + q*w**3 + d*w and give r.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(5*(-11)\/220)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(28\/(-32))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + d2bf411?\nAnswer: d2bf40c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.35 < 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -289*n + 2482. What is the thousands digit of h(-60)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*i**2 + 15*i**4 - 2*i + 8*i**2 + 8*i**2 - 53*i**2 + 25*i**2 to the form c*i**3 + v*i + k*i**2 + l*i**4 + n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**6\/360 - 7*v**5\/120 - v**4\/24 + 8*v**3\/3 - v - 1. Let n(d) be the second derivative of h(d). Give n(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.263, 1, 1.5?\nAnswer: 0.263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 28 = 4*x - 32*p, 4*p - 4 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/24*(-6)\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}