diff --git "a/data/dm_maths/full_data/1091_11255.jsonl" "b/data/dm_maths/full_data/1091_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1091_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from hhihhhhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 11 = -h, 6 = -63*h + 61*h for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3*g**3)*(g + 3*g - 3*g) + 53*g**4 - 49*g**4 - 61*g**3 + 58*g**3 - g**2 to the form d + p*g + o*g**3 + a*g**2 + l*g**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*d - 10 = 0, d = -i + 4*d + 20. Suppose 3*l + 115 = 4*l + 3*r, -4*l + 494 = -i*r. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*j = j + 46, -2*y - 5*j + 8 = 0. Let q(t) = 2*t - 10. Let s be q(y). Suppose -115 = -s*b + 3*b. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 7*s**2 - 6*s + 1. Let i be t(-6). Solve 6 = -v + i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37668 is divided by 271?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.12 + -0.12. Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 15, l: 5}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45237 (base 12) to base 9.\nAnswer: -150067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56526 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 7*s + 6. Let d = 19 - 13. Let o be (-25)\/5*d\/(-5). What are the prime factors of l(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6*0 - -8. Is 11 a factor of (-16)\/(-6)*66\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 843.\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966*k**2 - 936*k**2 + 1904*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**4\/12 + 4*c**3\/3 - 7*c**2\/2 + 2*c. Let v be q(7). Put 3, -3, v in increasing order.\nAnswer: -3, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -211, -397, -657?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -3d?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-1)\/(-1) + 0. Let p be (5 - 3) + z - -1. Let t(y) = -y - 2. What is t(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -48*z**3 - z**2 - 2*z + 2. Let i(t) = -48*t**3 - 2*t**2 - 3*t + 3. Calculate -3*d(k) + 2*i(k).\nAnswer: 48*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 - 23*d**2 + 24*d + 142. List the prime factors of v(-14).\nAnswer: 2, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222482 to the power of 1\/2, to the nearest integer?\nAnswer: 3496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 5. Let m be j(3). Suppose -7 - 11 = -9*i. Solve -i*a**m + a**3 - 6*a**3 + a**3 - 20 + 36*a - 10*a**2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3417 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/9)\/(4\/(-144)*-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v - 8. Let h(t) = 12*t + 15. Give -4*h(y) - 7*r(y).\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (3*sqrt(14)\/((sqrt(6)*-1)\/sqrt(3)))**2.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2646*y + 145*y + 199*y = 7290 + 16630 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - 10. Let x = i - -96. What is the third derivative of -11*q**4 - 6*q**4 + x*q**2 + 6*q**4 wrt q?\nAnswer: -264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) 54 (c) -0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:20 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 1 + 6)*(-2*o + 15*o + 16*o)*(-o**2 + o**2 + 2*o**2)*(3 - 3 - 3).\nAnswer: 2610*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 60*x**2 + 5*x + 25. Let d be z(-25). Round d to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t - 2*t)*(-3 + 5 - 1) - 1 + 2*t + 1 + 3*t - 1878 + 984 + 988 + 3*t - 4*t - 2*t + (-2 + 6 - 2)*(t + t + t).\nAnswer: 9*t + 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l - 3*l + l - l**2 + 4*l + 10. Determine d(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 644 = -2*b - 230, -681 = -4*d - b. What is the highest common divisor of d and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rccw when four letters picked without replacement from ncwcyyynpyrnpyyyy?\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o. Let c(l) = -8*l - l + 15 - 6*l - 20*l**2. Let t(f) = -f**2 - f + 1. Let b(j) = -2*c(j) + 30*t(j). Determine h(b(a)).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*c + 2 = 0, 12 = -2*c - 2*c. Let q = -5 - h. Solve 0*g + 15 = -3*b + g, q*b + 15 = 3*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-1)*25 + 1 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665 - 140 = 42*o + 273 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 4687200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of (-72)\/(-360) - (-3 + 146444\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let f(u) = -4*u - 1. Let d be 5 + ((-9)\/(1 - 4) - 3). Determine d*v(r) - f(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/40)\/3 - 48\/(-240). Factor -f*o + 1\/2*o**2 - 1\/4*o**3 + 0.\nAnswer: -o*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2357?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Suppose -122*s = -125*s + 12. Let k = 28 + -16. Solve -4*c = -0*h + h - j, -s*h - k = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -72003\nAnswer: 28801.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*60\/(-8)*(-459)\/255?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6382847 is divided by 228?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(3\/(9\/(-6)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 = -4*o - s, 0*s + 421 = 3*o + 5*s. Let d = o - 87. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2))\/((-135)\/(-486))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 278\/(-7506)*((-35)\/(-14))\/5.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-94)\/(-18)*-19 - (-4)\/18. Let j = d - -99. Solve t - 4 = -j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*k = -68*k - 14. Sort 174, k, -3 in descending order.\nAnswer: 174, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5845 = -3552*q + 3719*q for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**2\/2 + 15*f + 2. Let a be -9*1*(2 + -3). What are the prime factors of b(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+1099967527\nAnswer: 1099967528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.12, 5\/24, 0.001, 4, 5?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -3445?\nAnswer: -3445.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 163*h**2 - 527*h**2 - 3.\nAnswer: -364*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 202115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -941123*f. Let i(s) = 2*s**2 + 202. Determine i(z(t)).\nAnswer: 1771425002258*t**2 + 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4046259 a multiple of 2042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 264, -12, 2, -4, 0 in increasing order.\nAnswer: -12, -4, 0, 2, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*v**2 - v**3 + 1 + 0 - 871*v**2 - 2008*v**2.\nAnswer: -v**3 - 3072*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(76))\/(sqrt(4) + sqrt(144)*-2) - (3 + sqrt(342)\/sqrt(2))*4.\nAnswer: -130*sqrt(19)\/11 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 75351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6.7. Let v be -2 - (-1 - -2) - 0. Let g = 4 + v. Which is the closest to g? (a) k (b) -0.1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79070 and 324187.\nAnswer: 3241870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.714 + 0.58. Let y = p + -0.366. Sort y, 0, -2, 118 in descending order.\nAnswer: 118, 0, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4bf4 (base 16) to base 12\nAnswer: b304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1\/6 (c) 4 (d) -1700\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-8)*(-3)\/2. Suppose 2*f + x*l = 5*l + 266, -l = -5*f + 669. Let i = -73 + f. What is the remainder when i is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200\/3 + 113\/3*i**3 + 511\/3*i**2 + 190*i + 1\/3*i**5 - 9*i**4.\nAnswer: (i - 20)*(i - 10)*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52029257106 from 0.\nAnswer: -52029257106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1)**(-3\/5)\/(x\/((x**1\/x)\/x)*x*x)**(3\/19)*x\/(x*x**(-2\/13)*x*x*x)*x**(-1\/4)*x*(x*x**(-6)*x*x)\/(x\/((x*x**4*x)\/x)) assuming x is positive.\nAnswer: x**(-14463\/4940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5409 = -1300*v + 16691 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33324, 33285, 33246?\n\"Answer: -39*y + 33363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osob when four letters picked without replacement from hhsxoshhaobahhh?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1978, -3950, -5922, -7894, -9866, -11838?\nAnswer: -13810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200310187 to the power of 1\/2, to the nearest integer?\nAnswer: 14153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12)*(-2)\/2)\/(27467\/(-1153614))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2610, -5257, -7892, -10509, -13102?\n\"Answer: q**3 - 2654*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(9) + sqrt(9))*2 - sqrt(72)\/sqrt(2))\/((sqrt(105)\/(sqrt(14)\/sqrt(2)))\/sqrt(5)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b. Let c(k) = 774437*k - 53. Give c(m(u)).\nAnswer: -4646622*u - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 263999 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -5629130\nAnswer: 2814565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*b - t, 6*t = 2*b + 8*t + 2. Let r be (114\/4)\/(12\/32). Suppose 0 = 4*h - r - 4. What is the smallest common multiple of b and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -60, -60, -26, 54?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37340, 37307, 37254, 37181?\nAnswer: 37088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2975496511.\nAnswer: 13, 228884347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -186844\nAnswer: -18\/46711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*k + 339, -4*m + 29 + 458 = -3*k. Let q = m - 118. Suppose -2*g + 3*p = -267, -g - p + 94 + 42 = q. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44443? (a) 1 (b) -0.03 (c) 1\/6 (d) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-10 - -13) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 33*a**2 + 8*a - 72. Let l be h(33). Let m = l + 147. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3\/4 - 336*x**2 - 5229*x - 19440 = 0 for x.\nAnswer: -432, -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83664943?\nAnswer: 103, 812281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 3:19 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 450396.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 2151128.4?\nAnswer: -2151134.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k. Let y(z) be the third derivative of -z**4\/6 + 39*z**2. Calculate u(y(f)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27057031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 5144345615?\nAnswer: -5144345622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + (-75)\/9)\/(10\/90*-6). Solve -z*t - 1273 = -1329 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3244450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(2916)\/sqrt(4) - sqrt(9)))**2*-1.\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)*-3)\/sqrt(12))\/sqrt(11).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75.2 + 75. What is the fourth biggest value in 0.4, 5, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.4 and 1187.\nAnswer: 1189.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 18*x + 26931390 = 4410168. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 34*v - 13. Let g be j(-33). Solve 0 = 3*n - u - u - 7, 5*u = g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459351.\nAnswer: 3, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 2*r + 2*j, r + 5*j = -20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147230 = 76*b - 149434 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = 20. Let u(k) = 5 + 4*k + 5*k + 0 - o*k. Let w = -15 - -10. Give u(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 0.1, 5, 2\/3 in ascending order.\nAnswer: 0.1, 0.2, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 8*t**2 - 9*t. Let i be l(-7). Let g be 4\/i - (6\/56)\/3. Let z be (-3 + (-321)\/(-105))*-10. Which is the nearest to g? (a) z (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146529 rounded to the nearest 1000?\nAnswer: -147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38326.55 minus -0.0823999?\nAnswer: 38326.6323999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -11. Suppose -u*l + 2*l = -8. What are the prime factors of l*-6*(4 - 5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-n - n + 0*n)*((6*n - n + 16*n)*(3 - 3 - n) + 4*n**2 + 9*n**2 + 17*n**2).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1641697\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/1432410 and -19\/57960?\nAnswer: 395345160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v + 213 - 213 + (-2 - 2 + 2)*(3*v - v + 0*v) - 4*v + v + v - 2*v - 8*v + v to the form x*v + c and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0090654 rounded to 4 dps?\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12572 is divided by 81?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 423256265 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.79404702 rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 838020*c + 1676041\/2.\nAnswer: -(c - 1676041)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 3*x**2 - 4*x - 12. Let j be h(6). Let l = -43 + j. Suppose 5*f - 786 - 69 = 0. What is the remainder when f is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 37, 1, -2\/9, -1 in ascending order.\nAnswer: -3, -1, -2\/9, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -266, -267, -268, -269, -270?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1474515 and 3627.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 1. Let i(b) = 3*b + 9. Let o(w) = -12*d(w) - 3*i(w). Calculate o(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/28 and -79\/572.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*x - 6*x + 11*x as c*x + n and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/(-21) - 4\/(-14)*80\/240.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x + 9 = 0. Let b be (3\/((-18)\/(-21)))\/((-9)\/(-432)*56). Solve -3 = -x*r + b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + (-1480)\/495*3\/2 and 187\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 56 = -18*a - 76 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**3 - 362*w**2 - 531*w + 265. Give x(-89).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 22 - 122. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w = 30*w - 100 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/370*(-16058)\/(-1302).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - y + 3)*(y + 2*y - 4*y)*(y**2 - y + y).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.801 + -22.70607. What is t rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -4*y**2 + 0*y - 7\/2*y**4 - 32\/3*y**3 + 3. Solve p(m) = 0 for m.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127309\/103 or -1235?\nAnswer: -1235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4\/217941 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 21. Suppose 24*s + 70 = 26*s. Solve -f*r + 2*o = -o, 0 = 5*r + 5*o + s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - q**2 - q - 7. Determine d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -122, -304, -706, -1412, -2506, -4072, -6194?\nAnswer: -8956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*g**2*z**3 + 698*g**2*z - 25*g*z + 11*z**5 wrt z?\nAnswer: 1050*g**2*z + 220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwo when four letters picked without replacement from {w: 2, o: 17}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 5*t**2 + 6*t - 3. Let j be h(6). Let x be j + (-5)\/(20\/(-156)). What is the greatest common divisor of x and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1551 divided by -50746.\nAnswer: -1551\/50746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v - 3*o - 13, 4*v = -5*o - 17. Let m = 1559 - 1542. Suppose 0 = m*c + 41 + 44. Put -4, v, c, 1 in increasing order.\nAnswer: c, -4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) - (-20)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7566239*k**4*z + 2*k**2*z + 6838*k - 296*z wrt k.\nAnswer: -90794868*k**2*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 131028917 divided by 1\nAnswer: 131028917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170\/7*t + 0 + 172\/7*t**2 - 2\/7*t**3.\nAnswer: -2*t*(t - 85)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-49)\/(r**0)**(3\/8) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 x when three letters picked without replacement from srxtr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 7*w - 6. Let t be s(-6). Suppose t = -3*v + 4*v - 16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 + -3754 + -7)\/(-2).\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4801\/4 - 1200. What is the closest to k in 9, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810*v - 80928 = 660*v - 1536*v for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-22))\/(1235\/122265)*1\/((-3)\/(-5))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -0.07, 0, 1\/2, 15\/52?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 12*b**2 + b - 10. Let n be (-88)\/33*(-18)\/4. Let k be y(n). Is (33379\/145)\/(k\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 20*i + 97. Let k be r(24). What are the prime factors of (18\/(-32)*-4)\/(k\/48)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b. Let g = 105 - 35. Let n(r) = -g*r + 137*r - 71*r. Calculate z(n(v)).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**7\/2520 + m**6\/180 - m**5\/30 - 4*m**2. Let i(n) be the third derivative of y(n). Give i(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, 1 x, and 1 h when four letters picked without replacement from ixaahyg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s + 3. Let w(q) = q - 8. Let u be w(6). Let x be t(u). Let k = -9 - x. Put k, -2, -3 in descending order.\nAnswer: -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2 + 3. Let x(h) = h + 1. Let r be x(i). Solve r*y + 0 = 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 3)*(-3 + 2 - 2)*(3*t**3 + t**3 - t**3)*(-1 + 4 - 2) + 89 + 24*t**3 - 89.\nAnswer: 42*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.090593929693 and -5.9.\nAnswer: -5.990593929693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a millennium in months?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 3478.\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*c = 34*c - 66 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(-498*u + 6 + 497*u + u**3 - 11*u**4 - 45*u**4) to the form p*u**3 + r*u**4 + o*u + d*u**2 + s and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 - 2752*p**2\/3 + 421070*p - 50551032.\nAnswer: (p - 5012)*(p - 246)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3 = z. Let w = -240 - -1684\/7. Let h = 4.6 + -5. Sort w, h, z in increasing order.\nAnswer: h, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**3*r**4 + 59*p**3*r**2 - 34*p**3 - 6*p**2*r**2 - 2*p**2*r + 2*p**2 + 5*r**6 + 2844*r**3 wrt r.\nAnswer: 96*p**3*r + 600*r**3 + 17064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -285407780*h**4 + 206702464*h**2.\nAnswer: -6849786720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*k. Let j = 0 + 2. Let t(w) = w. Let z be t(6). Solve k = 4*r - j - z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/36 and 109\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:21 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 - -47. Let m = q - -52. What is the lowest common multiple of m and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 23. Let y = -214 - -210. Give x(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 324247 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -311, -56, 201, 460, 721?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r - 2*r**2 + 14*r - 273*r**3 + 0*r - 43*r**3 + 9. Is z(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/60 - h**3\/6 + 157*h**2. Let y(a) = 5*a**2 + 4. Calculate 4*o(n) + y(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 32*z + 39143 = -28815. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 7373.\nAnswer: 8\/7373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -10. Suppose -6 = 99*d - 101*d. Put 4, -0.1, u, d in ascending order.\nAnswer: -0.1, d, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 156 - 327 + 161 - 5*g**2 in the form t*g + m*g**2 + s and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-50))**50\/(((p*p*p**1)\/p)**(-6)*(p**(-2)*p*p)\/p**(-1)) assuming p is positive.\nAnswer: p**(-2489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -312 and -8.116?\nAnswer: 2532.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11 = -3*j + j, -3*a + j = -9. Which is smaller: a or -52\/159?\nAnswer: -52\/159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = 4*z. Let l be z*-4*3\/(-4). Let i = 6 + -8. Sort l, 1, i in increasing order.\nAnswer: l, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484 and 16708.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000268989 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*((sqrt(24)\/(sqrt(3)*-2) - (sqrt(288) + 2*sqrt(288))) + (1*sqrt(24)\/sqrt(3) - 6*(sqrt(128) + sqrt(8))))*-6)**2 + -3.\nAnswer: 5848196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -757 times -12504\nAnswer: 9465528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feg when three letters picked without replacement from {b: 4, f: 2, g: 3, s: 1, e: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 = -1. Let u be n + 0 - (3 - 5). Solve -2*r + 18 = -4*f - 2, -3*r = -u*f - 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 7) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.05018 tonnes to milligrams.\nAnswer: 33050180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 12*c - 50 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8959 - 9*p**2 + 2*p**2 + 4490 + 4469.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7d + -2?\nAnswer: -7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36238, -72930, -109622, -146314, -183006?\nAnswer: -219698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 7. Let f = -10 + -25. Let d = -37 - f. Which is the nearest to d? (a) -1\/7 (b) 2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 3. Let y be (21\/q + -2)*2. Which is the nearest to -2\/3? (a) 1 (b) -2\/19 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m - 3. Let o be k(-2). Suppose n = o*n + 2*n. Let i be 106\/(-56) + 2 + n. Is i at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 plus 77.7?\nAnswer: 80.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w**2 + 6*w. Let f(j) be the second derivative of -j**4\/2 + 5*j**3\/6 + j. Let d be (-11)\/(-2) - (-6 - (-55)\/10). Give d*f(y) - 5*s(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*b + 250*b = 4*d - 3931, 2*b = 3*d - 2962. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/5*(1 - -4). Suppose -4*n + 2 = -k*n. Solve 5*f - 1 + 0 = -h, 2*f = -h - n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1 - -14) + -2 + 9430 + -9429?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 634508345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-6) - 1 - (-5 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 17*i**2 - 19*i - 12. Let l be z(7). Let c(t) be the first derivative of 1\/3*t**3 - 3*t + t**l + 8. Give c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27868363?\nAnswer: 37, 853, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - -11 - (16 - (10 + -23 + 100)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -108 (b) 2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -25*s + 880. Suppose -3*q + 86 = -37. Suppose -4*w + 47 = -q. Calculate the remainder when s is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - t - 397032. Let v(o) = o + 35. What is v(d(m))?\nAnswer: -m**2 - m - 396997","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2795*q**6 + 7*q**4 + 7*q**3 - 99321*q**2 - q wrt q?\nAnswer: 335400*q**3 + 168*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b - 4. Suppose -4*c + 1 = -15. Sort b, 0, c in increasing order.\nAnswer: 0, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 278, 263, 244, 221, 194?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 141191240*b. Let m(j) = 3*j**2. What is f(m(d))?\nAnswer: 423573720*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -19. Which is the third smallest value? (a) z (b) -2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dana when four letters picked without replacement from {n: 1, c: 3, d: 4, a: 2}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3837*u + 1773*u + 3913*u.\nAnswer: 1849*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5\/7 - 1342*b**4\/7 - 116170*b**3\/7 - 602250*b**2\/7 - 272250*b\/7 = 0. What is b?\nAnswer: -165, -5, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297403517 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtvtjtvvvtjvvttjv. Give prob of picking 1 j and 3 t.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2430 = 9*d. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107.71365 - -107.98. What is s rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -20*r**3 - 2*r**2 - 3*r - 2. Let z(b) = -41*b**3 - 5*b**2 - 8*b - 5. Let w(s) = -5*h(s) + 2*z(s). What is w(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - k + 1)*(2 + 2 - 2)*(1 + 2 - 4) to f + g*k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.95610681 to three dps.\nAnswer: 0.956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v. Let n(w) = 2*w. Let f(k) = -6*n(k) + 2*o(k). Let x(b) = 14*b**2. What is x(f(m))?\nAnswer: 224*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2, 0.38?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y**3 + 3*y**2 - 2*y. Let o be d(1). Suppose o = f + 2*f. Suppose -f*s + 42 = -30. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a**3 + 69*a**2 + 37*a**3 - 69*a**2.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10629\/16 - 664. Suppose 0 = 5*s - 0*s + 5. Is s >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsggcglgseleggg. What is prob of sequence gseg?\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - j + 1128 = 0, -f = -2*j + j - 222. Suppose -7*b + f - 22 = 0. What is the least common multiple of b and (-3)\/6 + 21\/2?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.086 - -71.914. Let k = 71.85 - l. Let d = -3.85 + k. What is the closest to 0.04 in 3, 4, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 2*s + 18, -15*s + 11*s = 3*l - 6. What is the nearest to 0.2 in l, 38, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g = 20. Let a(x) = -2*x + 15. Let t be a(5). Solve -2*u + u = j + t, 0 = -5*j - g*u - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 446561166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - m = -100, m + 56 = 3*i - 3*m. Suppose -i + 8 = -8*y. Solve 5 = 3*w + y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-4)*76*1\/14 and -5\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 + 11\/(-9). Let u be g + (-5)\/(10\/84). Let w = u + 68. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.40254 + 0.10254. Which is the second smallest value? (a) p (b) -31 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 3\/2 (b) -5 (c) -3 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4465*x + 2664.\nAnswer: -4465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. Suppose 0 = -4*w - 5*a + 21, 3*a - 2*a = w - o. Suppose -2*t = r - 2 - 5, 0 = -5*t - w*r + 16. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u - 45 = 2*u + 39 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 8*r**2 - r - 4. Suppose 0 = 3*v - 0*v - 15. Let p be a(v). Let q = -328\/5 + p. Is 0.3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210102 + -22120001?\nAnswer: -21202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 - 3*s**4 + 162339*s**3 - 2*s**2 - 1646*s - 442?\nAnswer: 120*s**2 - 72*s + 974034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.8? (a) 1\/2 (b) -3 (c) -0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 105 = 5*s - 0*s, 0 = -2*d - 5*s - 30. Let v = 26 + d. Solve -2*f = 5 - v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from saolsar.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 less than or equal to 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 469020 + 42800 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q + 2. Let t be n(0). Suppose o + t*o = 99. Let x = o - 19. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.348 - -0.048. Let w = c - -0.2821. What is w rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15368783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5, -28 in increasing order.\nAnswer: -28, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -2\/73, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 10. Is (-2 - 0)\/(d\/561) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133808*u + 95 - 95.\nAnswer: -133808*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 84*r - 283 + 517 + 520 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-11)\/220*(-360)\/(-243).\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(7) + 4 - (sqrt(7) - 6*sqrt(112))).\nAnswer: -72*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n - 4868584. Let l(i) = 22214*i**2 - 4*i + 74. Let t be l(-13). Let p = t + n. What is p rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000272461771 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15 and -0.05594?\nAnswer: 15.05594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.043899906 - 0.0439. Round b to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiei when four letters picked without replacement from {g: 1, t: 1, i: 5, e: 9}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*x = -326*x + 2736 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -5*f**4\/24 - 197*f**2. Let g(w) = 3*w - 7. Let h(q) = -q + 3. Let n(y) = 3*g(y) + 7*h(y). What is b(n(a))?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 62700000 = 12*y. What is y rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 116 + 106 - 82 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + 2*j**2 - 3*j + 3. Let p(t) = 8*t**3 - 9*t**2 + 12*t - 13. Calculate -9*f(u) - 2*p(u).\nAnswer: 2*u**3 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.01, -3\/2, 0.03, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 9*c + 12. Let v be u(-10). Suppose s = 3*s - v. Suppose 4*r + 4 = 4*m, -2*r = -3*r - 4*m - s. Put 4, r, 5 in descending order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82306 (base 12) in base 4?\nAnswer: -221130312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:50 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5595.91 millilitres to litres.\nAnswer: 5.59591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 1 - 89 = 0. What is the units digit of 11 + (3\/y - (-26)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 42 = 5*z. Suppose 0 = 4*q + l - 4*l - z, -5*l = 2*q + 6. Let n = 4 + -5. What is the closest to -1 in q, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 5*j + 4. Let k be i(-5). Suppose 0 = k*l - 6 - 2. Let h = -1609 + 1612. Solve h*z + 4*w = -0*z + 1, l*z = 2*w - 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(91) - (5*sqrt(91) + sqrt(91) + sqrt(91))) - sqrt(91))\/(sqrt(42)\/(3*sqrt(6))).\nAnswer: -21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3.6, -2\/17, 0, -0.5, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 6*s - 5. Let m be l(-1). Suppose -2*v - v + 2615 = 4*i, 2*i - m*v - 1318 = 0. Suppose 5*w = -146 + i. Does 34 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-7)\/14)\/(15\/(-67800))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3 + 3. Let r(c) = -669 + 1051 - 3*c - 383 + c. Let y(f) = -f. Determine l*r(h) + 3*y(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 10 = -4*r, c - 5371*r - 11 = -5357*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2613 = 15*n + 297. Let f = n - -194. Factor 1\/3*x**3 + 0*x + 0 + f*x**2.\nAnswer: x**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 3. Let f(z) = -4*z**2 + 7. Let y(g) = -g**2 + 12*g - 13. Let j be y(9). Give j*h(q) - 6*f(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 + 8389314*w**2 - 8797544311152*w - 61583221255136 = 0 for w.\nAnswer: -7, 2097332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1644 + -0.1844. Let y = -142 - -99. Let g = -431\/10 - y. What is the second smallest value in 2, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/2 of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 238*v + 10253. Give d(-43).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 - -190. Let z = -3 + 1. Sort z, r, 4.\nAnswer: r, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 789 and 16043.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + (-4*sqrt(637) + -4 - sqrt(637)) - sqrt(637))**2.\nAnswer: 280*sqrt(13) + 15941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1168 + 1849 + 633)*(2*y**3 + 0*y**3 - y**3).\nAnswer: 1314*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 - 2.8. Let h = -0.6 - u. Sort 1\/7, 4, h in ascending order.\nAnswer: h, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 380*h**2 - 47*h - 92. What is the tens digit of u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-65)\/(-208))\/(10\/(-8))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihiihhiiiii. Give prob of sequence hiih.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3.84. Let i = -0.05 - p. Let l = i - -0.165. What is l rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 13\/412?\nAnswer: 13\/412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 3:30 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1113)\/(-742)*(3 - (-7)\/(-2))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 y when four letters picked without replacement from syyllyjlyyylj.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fd933be - -3?\nAnswer: fd933c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-3) + -2 - (-7 + 5). Suppose u - 5 = t, 4*t = t - w. Differentiate u*p - 10*p - 15 - p with respect to p.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -782a?\nAnswer: -7830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2239 + 2238.96. What is the closest to -1 in 4, y, -8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 365\/6. Let w(b) = b**3 - 7*b**2 + b - 5. Suppose -2*v = -7*v + 35. Let s be w(v). Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -7705\nAnswer: 21\/7705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -108826.7091 to the nearest 1000.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22119 - 9358. List the prime factors of q.\nAnswer: 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62, -81, -52, 31, 174, 383?\n\"Answer: n**3 + 18*n**2 - 80*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 1502*l - 4497. Determine r(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. What is the second derivative of h*v**5 + 0*v**5 + 6*v - 3*v wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.20142 - -0.27158. Round i to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13312 - -5822. What are the prime factors of k?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/9 - 10772*h\/9 - 14504498\/9 = 0. What is h?\nAnswer: -2693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-1 + 9 + (-18 - -19) + -8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1076986\nAnswer: 1\/1076986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*a = 5924, 1056 + 417 = x + 5*a. Let k = -6505781\/8 + 814702. Let n = k - x. Find the common denominator of -95\/2 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1264 and -151\/60.\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1641266875 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = b + 2, -3*b + 31 = -8*b - 4*j. Let c(w) = w**3 + 8*w**2 + 6*w - 1. Determine c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20 - -20)\/(1*(4 - 6)). Solve -2*o + 2*t + 2 = -q, t = -2*o - 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41902 or -40529?\nAnswer: -41902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than 52079.474?\nAnswer: 52080.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14400\/(-216))\/(-100)*(-8)\/(-6)*15\/16.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 2, c: 1, k: 1, r: 2}. Give prob of sequence cjr.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -189111204*m**2 - 2*m + 125809052 wrt m.\nAnswer: -378222408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*o - 1 = 24, -11 = 4*v + 3*o. Let t = v - 1. Let g = 0 + t. Solve -f - 8 = -4*f - b, f - 4*b + 6 = g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, j: 1, p: 3, q: 8}. Give prob of picking 2 q and 1 j.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 709 divide 33704155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -443*q**3 + 8*q**2. Let z(p) = -442*p**3 + 10*p**2. What is 5*k(f) - 4*z(f)?\nAnswer: -447*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54344*a**3*h**2 + 4707*a**2*h**2 - a*h**2 - h**2 wrt a.\nAnswer: 326064*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46039 or -46040?\nAnswer: -46039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 102. Let k be (92\/(-8) + 2)*-2. What is the highest common factor of k and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42\/(-4))\/((-1)\/(-2)). Let f(x) be the second derivative of x**3\/6 + 17*x**2 + 51*x. Is f(b) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:34 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/11)\/(c\/(c**(-38)*c))*(c*c**(-1\/25)\/c)**32)**(-2\/125) assuming c is positive.\nAnswer: c**(21454\/34375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 5*o**2 + 5*o + 4. Let d be (-15)\/5 + (-1 - -11). Let j(t) = -t**3 + 7*t**2 - 4. Let g be j(d). Let f be a(g). Solve 3*x + 6 + f = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -131. Suppose x - 5*o = 21, x + 2*o = 3*o + 5. Let s(a) = 3*a - 4. Let n(v) = 1. What is r*n(b) + x*s(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:32 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26805 and -4?\nAnswer: -107220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -61006 (b) -95 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + -2555265.\nAnswer: -2555265.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -65 - ((31 - 68) + 50 - (15 + 2))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5139402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35636.87kg in nanograms?\nAnswer: 35636870000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 212945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - -415426?\nAnswer: 415475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.372 (b) -0.083 (c) 3 (d) 2\/5 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 9 - 9)*((-5 + 3 + 0)*(-r + 3*r - 3*r) + 4 + r - 4).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76231 is divided by 38112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6013 = 8*h + 101. Suppose 0 = -6*u + 989 + h. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.07 - 0.07. Let w = -2\/189 + -181\/756. Which is the closest to w? (a) 2\/5 (b) m (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1412, -1426, -1442, -1460, -1480?\n\"Answer: -u**2 - 11*u - 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2 = -6. Let c be (-1804)\/16 + v + -1. Let x = c - -112. Which is greater: -2.9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3199 (b) 2\/7 (c) -1 (d) 0.058 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/12 and 117\/238.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 17. What is the second biggest value in 0.3, l, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1 + 6 + p**2 + 5*p + 1 - 2. Let y be s(-5). Let z be y\/18 + (-46798)\/(-9). What is z rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 2*p**2 + 15*p. Give k(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from wwbbbbbbbb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9430 a factor of 667200790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 1 + 4)**2.\nAnswer: 30*sqrt(19) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5382752887 to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 less than or equal to -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 15595970.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 2466193?\nAnswer: -46857667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -25*p + 19*p. Suppose 0*r - 4*r - 208 = -5*o, -46 = -o + 3*r. Suppose o - 29 = s. Calculate the highest common divisor of p and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -443 - -458. Calculate the highest common factor of p and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 + 3*z**2 + 6*z - 7. Determine k(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2006 - 1632 - 10241 = -378*m + 863 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118527.\nAnswer: 3, 39509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -705061*d + 708092*d + 114*d**4 - 5200*d**4 wrt d.\nAnswer: -61032*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*p + 64. Let w = p + 39. Calculate the least common multiple of w and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 2, t: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 7*g = 18*g + 200 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m**2 - 4*m + 10. Suppose 0 = -2*r + 2*d - 18, 3*r + 36 = -4*d - 19. Let l be k(r). Let a = l + -1559. What is a rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 8*i - 7. Let l(m) be the second derivative of -4\/3*m**3 + 4*m**2 - 2*m + 0. Let w(b) = -5*l(b) - 4*z(b). Solve w(v) = 0 for v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30032010 (base 4) to base 10.\nAnswer: 50052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m + 191 = -4*m - 65 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d - 16 = 0. Suppose -w - d*p = -14, 22 = 5*w + 2*p + 2*p. Which is greater: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 9 - (-1 + (-12 - -6) + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 29\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 - -12 - 8) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -5*i + 30, -5*o = 5831*i - 5830*i + 24 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((((c**(3\/22)\/c)\/c)\/c)\/c))*((c*c*c*c*c**17*c*c)\/c)\/c)**(-40))**1 assuming c is positive.\nAnswer: c**(-7540\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**3 + 214*q**2 + 96*q - 1965. Determine g(43).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.3 and -0.181?\nAnswer: 3.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 15*m**2 - 15*m + 24. Let g be j(-16). Let z = 13 - g. Let q(v) = -v**2 + 4*v - 2. Calculate q(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -5, 13 in decreasing order.\nAnswer: 13, -5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a*x + 3*a - 5*x**2 + 3*x - 19 wrt x.\nAnswer: -4*a - 10*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i. Let r(u) = 42 - 82 + 41. Let f(s) = 3 + 0*s + 6 + 3*s. Let g(k) = f(k) - 9*r(k). What is g(a(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12094.44 < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3 + 3552*l**2 - 64665*l + 292086 = 0.\nAnswer: -1202, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 251768274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/2*(-180)\/300)\/(-18). Let u = -1 - -1. Let r be -3 + (-32)\/(-18) - -1. What is the closest to r in v, -0.09, u?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 160\/26 - (160\/26 - 6). Suppose l = -4*a + 217, v*l = -4*a + 3*l + 227. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by 82.\nAnswer: -84\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4\/11 - 138*a**3\/11 + 6707*a**2\/11 + 1272*a\/11 - 33152 = 0?\nAnswer: -176, -7, 8, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*v**4*y - v**3*y - 49*v**2*y**2 + 176*v*y**2 - 46*v*y wrt v?\nAnswer: 192*v**2*y - 6*v*y - 98*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 41?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2681360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9275114 years in decades?\nAnswer: 0.09275114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**2 - 93*u. Let k(b) = 185*b - 3. Give p(k(w)).\nAnswer: -239575*w**2 - 9435*w + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1375 + 1471 = 8*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 + -19.3. Let n = -14.8412 - z. Let t = n + -0.06. Round t to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5 - 352*v**4 - 5504*v**3 - 18248*v**2 - 21372*v - 8280 = 0.\nAnswer: -69, -15, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -198673742.\nAnswer: 1\/99336871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21356 and 73060?\nAnswer: 1388140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 2*n)*(0 + 3 + 5) - 18*n + 4*n + 28*n - 2*n - n + 4*n.\nAnswer: 31*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108220854 rounded to four dps?\nAnswer: -0.1082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33534.8 years?\nAnswer: 3353.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575935?\nAnswer: 5, 229, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/22 (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 2*s**2 + 8774*s - 8774*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5681430 and 10415955.\nAnswer: 62495730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261*q**5 + 150*q**2.\nAnswer: -15660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6528323 and 316?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -1\/11, 35, 0.18 in increasing order.\nAnswer: -2\/13, -1\/11, 0.18, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*u = 12. Suppose -3 = -2*a + 3, 7 = k + 5*a. Let s be 2\/(k\/6 - (-4 + 3)). Is u less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 718\/9 or -417.22?\nAnswer: 718\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3764, -5248, -6732?\nAnswer: -8216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from xxuxmxm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 78502162 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: b\"What is the pth term of -532, -1186, -1962, -2860?\n\"Answer: -61*p**2 - 471*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2)*(-30 - (-668)\/22)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1 - (-60)\/6. Solve -v = -s - s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4) - 3*(-6)\/36\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57742 and 177?\nAnswer: 10220334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 189*q - 6. Let j = -135 - -137. List the prime factors of m(j).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.068, 0.1, 18.2, -4\/3, 119 in descending order.\nAnswer: 119, 18.2, 0.1, 0.068, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22975 + 2816*m**3 - 22975 + 2043*m**3.\nAnswer: 4859*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2775, 11114, 25013, 44472, 69491, 100070?\nAnswer: 136209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -2\/5, 1\/3, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -20.4. Suppose 5*x - 90*b + 89*b + 15 = 0, 0 = -x + 3*b + 11. What is the closest to 1 in 0.3, l, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -88905, -177872, -266839, -355806, -444773?\n\"Answer: -88967*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = t + 2*l, -13*t = -622*l + 624*l + 268 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 113. Let q be (16 - 1)*(-2)\/(-5). Let o = q - m. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 10*g - 36. Calculate h(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12799006.83 - 4.03\nAnswer: -12799010.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.24, -4844054?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170168894?\nAnswer: 2, 7, 61, 199261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*q - 279*q + 19190 = 475*q - 24970 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1350 - 1459. Put -3, 5, 1, r in ascending order.\nAnswer: r, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -10 (b) 1 (c) -4\/455\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.85 - -1.7. Let m = -2.85 + w. Sort m, 20, -3\/2, -3.\nAnswer: m, -3, -3\/2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 + -1.8. Let j be 2\/10 + (-22)\/35. Which is the third biggest value? (a) k (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 20 = 15*y - 20*y, 0 = -2*r - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -q + 3*r, 0*r = 3*q + 4*r + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195973 is divided by 108701.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) - (4*(2*sqrt(3))**2 - sqrt(3))) + -4 + -1 + 5 + sqrt(300) + ((1 + sqrt(300))*-4)**2 + -4.\nAnswer: 338*sqrt(3) + 4620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 2*n**2 - 3*n + 4. Calculate the remainder when 15 is divided by w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a + 2 = s, -5*s - 3*a = -10. What is the second derivative of -11*k - 2*k**3 + s*k**3 + 5*k + 3*k**5 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4)*(-33 + 4 + 0)*(19 + 26*l - 19).\nAnswer: -3016*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -95 from 0.01146019.\nAnswer: 95.01146019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a7 + -43133?\nAnswer: -42548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*f - 21 = 0, f = 3*v - 15 - 4. Let g = 14 - v. What is the units digit of 1 - -1 - (-18 - g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h + 11 + h**2 - 9*h + 6*h. Let x be d(10). Calculate the highest common divisor of x and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/1415 in -1225, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c - 4. Let i(w) = 2*w**2 - w - 3. Suppose -7 + 19 = 4*n. Calculate n*v(d) - 4*i(d).\nAnswer: -5*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4703 - 9133. Round v to the nearest 100.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/12 + 535\/4. Round h to the nearest integer.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268 + 462. Suppose 75 = 2*o + 3*w, 2*w = -5*o + w + i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/(48\/573) + 23\/92 and 176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - r - 126. Let d be ((-50)\/2)\/(0 - 1). Let s = r - d. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 4*w - 4*w)*(135 - 66 - 81)*(4*w**3 + 0*w**3 - 5*w**3).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12639 - 17?\nAnswer: -12656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(22\/5)\/(((c**16\/c)\/c*c)\/c))**23 assuming c is positive.\nAnswer: c**(-1104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 9516624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - g - 68351452 + 244851459, 2*c + 3*g = -352999979. Round c to the nearest 1000000.\nAnswer: -177000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -139017040*w**2 - 32064913 wrt w?\nAnswer: -278034080*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) 122\/5 (c) -40 (d) 3 (e) 173\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 + -1.9. Which is the third smallest value? (a) 4 (b) q (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1137\/13 - -28113\/325. Let i = 2448\/7 + -74203\/210. Calculate the common denominator of i and o.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -388658 or -388701?\nAnswer: -388701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*q - 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 4, -77 in decreasing order.\nAnswer: 4, 2, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -71, -1, 1, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1963*k + 3918. Give c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14493, -58428, -131741, -234438, -366525?\nAnswer: -528008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*m**3 - 12*m**3 - 11*m**3 + (-4*m**2 - m**2 + 2*m**2)*(1 + 4*m - 1).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/506 + 1599\/7544?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 divided by -1?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 144624\/35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87.2 + 87. Let h = -0.2 + -0.3. What is the nearest to n in 0.5, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 20\/15) + 1. Put -1, -8, t in decreasing order.\nAnswer: t, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1926110759\/984 + -1957430. Let h = p + -1\/123. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 4*r**2 + 0*r**3 - 7*r - 7*r + 12*r - 6 in the form d*r**3 + b + c*r + y*r**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 11) in base 5?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 - 23*t + 244. Let l(i) = 2*i**2 + 24*i - 201. Let g(f) = -6*l(f) - 5*u(f). Calculate g(12).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81497, -81349, -80947, -80165, -78877, -76957, -74279?\nAnswer: -70717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 8:55 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1788060?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156990 divided by 5233.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 1\/4*c**4 + 0 + 0*c**2 - 1\/4*c**3 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 41 = -38*z + 99 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = 4*b, -3*r - 12 = 3*b - 0*r. Solve -x + 7 = 2*n, -3*n + 6*n + x - 8 = b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20746948 to the nearest integer?\nAnswer: 4555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 + 3*c. Let t(n) = 0*n - 2*n + 3*n**2 + 0*n**2. Let o(u) = 2*g(u) + 3*t(u). Let r(f) be the second derivative of f**3\/3 + f. Give r(o(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 854\/14945 - (-1684)\/(-70).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017772 to five dps.\nAnswer: 0.01777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527334?\nAnswer: 2, 3, 179, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*w - 92*w + 9539 + 6509 for w.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0 + 2*g**2 - 1 + 0*g + 0 - g. Let b be z(-3). Solve b = 3*y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5186 greater than or equal to 35\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4893 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {f: 1, q: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 18. Let t be l(10). Let m be (-9)\/36 - 5\/t. Let v = 3 + -2. Is v bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 884*v - 781456.\nAnswer: -(v + 1768)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1044.852173 - 6.\nAnswer: 1038.852173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17 - 18) + 4 - 0) + (-4 - (-22 + 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 843923110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1 + (2 + 0 - 1)*(4 + 1 + 2))*(0 - 1 + 0 - h).\nAnswer: -10*h - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12276 and -139\/17856372.\nAnswer: 589260276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -568*9\/(-6)*12\/36 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24\/13 in 9, 2, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604259?\nAnswer: 604259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339839284.\nAnswer: 2, 29, 743, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195080 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -42, -54, -62, -66, -66?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m - 12. Let f(y) = -7*y + 15. Let l(d) = 5*b(d) + 4*f(d). Let t(u) = 12*u + 9. Let q(i) = 3*i + 2. Let h(c) = 9*q(c) - 2*t(c). Determine l(h(w)).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*t = 4398 + 2802. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 8*r**2 + 14*r - 2. Calculate the remainder when 687 is divided by b(9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 384, -5, 23625?\nAnswer: 384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3426314 and 85187083.\nAnswer: 88613397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4349*y + 4349*y + 153 - y**2)*(-3*y + 4*y - 2*y).\nAnswer: y**3 - 153*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -3 (c) -2\/5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**7\/7 + 5*u**4\/2 + 23*u**3 - 45. What is the third derivative of n(w) wrt w?\nAnswer: 120*w**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94.763 - -95. What is q rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -630, -1303, -2192, -3291, -4594, -6095?\nAnswer: -7788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1096400 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1876470781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59070 by -6.\nAnswer: 9845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Suppose 0 = 4*l - 2*b - 18, 3*l + 1 = 6*l + b. Let t(m) = m**l + m + 8 - 22 + 15. Determine t(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/15)\/(3\/(-6) + 0)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.21631002 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {b: 3, z: 7, r: 2, t: 5, m: 1}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 347905 and 7645?\nAnswer: 531946745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 5*j**2 - 4. Let w be q(-5). Let g(z) = -34*z**3 + 33*z**3 + 3*z**2 - 1 - 8*z**2 - 6*z. Calculate g(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67144848.8 rounded to the nearest one hundred thousand?\nAnswer: -67100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*g**3 - 183*g**3 + 120*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n - 82. Let p be d(6). Suppose -315 = -3*h + 3*l, h + 3*l - 85 = p*l. Calculate the smallest common multiple of 5 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 51, -9, -93, -201, -333?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*1 - (8 + -9). Let h(p) = p**2 + 6*p + 2. Let l be h(g). What are the prime factors of (-6 - -4)*(-15)\/l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 7 + -4)*1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035402569 rounded to 5 decimal places?\nAnswer: -0.0354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 + 58*y**2 - 34*y**2 - 24*y**2.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 + 4*m**2 - 5*m**2 - 3*m**2 - 1 to the form p*m**2 + k + c*m and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -834, -497, -36, 549, 1258?\nAnswer: 2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*200\/560?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n + 21. Suppose -4*w + 1 = -n. Find the third derivative of -2*m**6 + w*m**2 + 2*m**2 - 3*m**2 wrt m.\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w + 10*w**2 - 15 + 2*w**2 - w**2 + 0*w**2. Let l(u) be the first derivative of -5*u**3\/3 - 4*u**2 + 7*u - 2. Give 6*i(q) + 13*l(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1245 and 510.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4371071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -966*i - 10669. Give d(-11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(3850\/2380))\/(2\/(-5))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3064, 6116, 9178, 12256, 15356?\nAnswer: 18484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.9 + -0.1. Let f = w - -30. Let h = -9.7 + f. Which is smaller: h or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u**2 + 3*u - 4. Suppose -5*i + 10 = -5*a, 2*a + 5*i + 18 = 7. Is f(a) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 7. Let o be (32\/(-224))\/((-144)\/42 + 4). Sort 4, 0, o, m in descending order.\nAnswer: 4, 0, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 820038*o. Let z(r) = -33*r**2. What is n(z(f))?\nAnswer: -27061254*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18142, 0.4, 1 in decreasing order.\nAnswer: 18142, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.28 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4081389000 rounded to the nearest one million?\nAnswer: 4081000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 1.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -217. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2937.06985 rounded to the nearest 10?\nAnswer: -2940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(-1\/2)\/p)\/p)**(-2\/11)\/(p**(2\/5))**(3\/26))**(-21\/5) assuming p is positive.\nAnswer: p**(-3402\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -17*k**3\/6 - 4*k. Let w(a) = a**2. Determine w(l(z)).\nAnswer: 289*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**3 + 11197*n**2\/2 - 73323*n + 479927\/2 = 0.\nAnswer: 37\/6, 7, 1853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345738720.\nAnswer: 2, 5, 709, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.965 from 3953710917.\nAnswer: 3953710918.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251\/340 - -1\/85. What is the biggest value in 4, f, 1, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 12*z**2 + 13*z - 7. Let s be m(11). Let d = 335 - 140. Calculate the highest common factor of d and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:00 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -12*o + 11. Solve 21*z - 62 - o = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3\/50 (c) 11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4*z + 262*f**4 + 2*f**3*z + f**3 + 3*f**2*z - 857*z wrt f.\nAnswer: 48*f*z + 6288*f + 12*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 1 a when three letters picked without replacement from aawaaxawaa?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -183 + 297. Let x be 3*(-4)\/r - 0. Sort 0, -3, x in increasing order.\nAnswer: -3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 6) in base 16?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**3*t**3 + 23*j**3 + j**2*t**2 - 364*j*t + j + 2*t**3 + 1 wrt j?\nAnswer: -48*j*t**3 + 138*j + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -2)\/((-15)\/(-69)). What is the highest common divisor of 2599 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 17*n**2 - 18*n + 6. Suppose -2*g + 130 = 4*m - 188, -5 = 5*g. Calculate the remainder when m is divided by s(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.35 - -4.25. Let n = w + 20. Which is the third smallest value? (a) 1\/2 (b) n (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4617 + 1.461703082. What is l rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(1\/(12\/8)). Let d(f) = f**3 - 9*f**2 + 8*f - 13. Suppose 0 = 2*q - i - 36, -2*q - i = 3*q - 104. Calculate the remainder when d(p) is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3 - 5 + 0 + 3 - 3*c + 6. Let n(m) be the third derivative of -m**5\/60 + m**4\/24 - m**3\/6 + m**2. Let t be n(0). Calculate b(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286863 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -38, -1, 0, -269.\nAnswer: -269, -38, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101301303 (base 4) to base 11\nAnswer: -4a78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -63*x**5\/10 + x**4\/6 - 38*x**3\/3 + 41*x. What is the third derivative of u(v) wrt v?\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -369303 equal to -369302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 1057337?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/125 and -17\/125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -1754*d**2 - 1752*d + 2 = 0?\nAnswer: -1, 1\/877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + r + 9, -r + 16 = -5*b + 37 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 521. Let n(m) = -47*m + 3. Calculate a(n(z)).\nAnswer: -47*z - 518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(10\/628)*2. Let a = g + 373. Let o = a + 152. What is o rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 7*n**2 + 2*n + 2. Let a be y(-7). Let p = 7 + a. Let q(g) be the second derivative of -g**3\/6 - g**2 - g. Determine q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -x - 1, -87*x = -84*x - 5*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4 + 2 + (17 - 186\/9))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 62948*b**2 + 125899*b + 62950.\nAnswer: -(b - 62950)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 81732\/2224 - 1*36\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18750 + 599931\/32. What is the common denominator of v and 107\/176?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -12) + (-3 - (-31)\/1). Calculate the highest common factor of g and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*(-1 - -1). Suppose p = 3*t - 30 - 3. Suppose 4*s = -a + 9, -5*a + s + 77 - t = 0. Calculate the remainder when 38 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6894 + 275781\/40. Let y = -1746 - -34813\/20. Find the common denominator of z and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/3 + 7629035*g**2 + 21825817543968*g + 32738720594176\/3 = 0. Calculate g.\nAnswer: -5721776, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160 + 322. Let m(r) = 2*r**3 - 168*r**2 + 11*r + 145*r**2 + 11 + 7. Let u be m(11). Calculate the highest common factor of u and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954 = -149*d + 140*d - 309*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65774 divided by 65774.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**5 - 10135*v**4 - 1271150*v**3 + 36373600*v**2 - 254294880*v + 219202560 = 0 for v.\nAnswer: -142, 1, 12, 2144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r + 25*r - 11*r + 10*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22314 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: Let a(r) = -3*r**2 - 210*r + 1125. What is a(-75)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(1 + (((sqrt(272)*-1 - (sqrt(17) + 1)*6) + -1)*-2)**2).\nAnswer: -20994 - 1680*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -6 + (-152)\/(-12))*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207768.\nAnswer: 2, 3, 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16560220*i**3*q**2 + 1552232*i**3 - 13*i*q wrt q.\nAnswer: 33120440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -70*w**4 + 6*w**3 + 38. Let i(l) = 68*l**4 - 4*l**3 - 36. Let f(b) = 3*i(b) + 2*r(b). What is the derivative of f(o) wrt o?\nAnswer: 256*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 - 6*s - 15. Let n(p) = 101*p**2. Give b(n(v)).\nAnswer: 51005*v**4 - 606*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -269 - -275. Solve d = -q - q - 3*b, -26 = -2*q + 5*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 943378494 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5130.2 - 5828. What is u rounded to the nearest 10?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -52. Suppose d = -4*k + 12 + 36. Is 5706\/108 - (-2)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704283?\nAnswer: 3, 23, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 + -4)\/((-493)\/(-203)). Which is the closest to -2\/3? (a) -4 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 26*f - 4. Let p be n(0). Let z(u) = -u**2 + 3*u + 7. Let h be z(5). Put 2, p, h in ascending order.\nAnswer: p, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 9*v**5\/20 - v**4\/24 - 6*v**2. Let g(p) be the first derivative of -p**2\/2 - 1207. What is g(k(h))?\nAnswer: -27*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/(780\/192 + -5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*5 + sqrt(84))\/(sqrt(36)\/sqrt(3)*4).\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4737, 4758, 4779?\n\"Answer: 21*u + 4716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 15680*l - 940000\/3.\nAnswer: -2*(l - 23500)*(l - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 2*k + 1. Let h(j) = j**2 - j. Suppose 0 = -7*u + 12*u - 260. Suppose -12 = 5*n - u. Let f be (21\/7)\/(((-30)\/n)\/5). Give f*h(b) - x(b).\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-16 - -11) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/23 + 2242806*x\/23 - 20185092\/23 = 0. What is x?\nAnswer: 9, 1121394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = -12. Let k be (-1 - 8)\/3 - -1. Let l = m + k. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t + 114. Let i be n(16). Solve 3*v = 3*h + 2*h - 17, 5*h - i*v = 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 7714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aecy when four letters picked without replacement from {a: 1, c: 1, y: 2, e: 5, n: 2, x: 4}.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1.3 (b) 0.4 (c) -2 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28808 and 1768?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 327109 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 613*i**3*j + 7*i**3 + 2*i**2*j + 3972*i*j wrt i.\nAnswer: 3678*i*j + 42*i + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2845.837 and -5?\nAnswer: 2850.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 60 = -5*z + 13, -6 = -2*w. Let u = 4 + 0. Suppose 2*j - 2*t - z = 0, -3 = -2*j - 3*t - u. Solve k - 12 = -4*x, -3*x + j + 5 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 2. Let g be z(4). Suppose 0*p = p - g. Let t = -2.95 + -0.05. Put t, p, -1\/6 in increasing order.\nAnswer: t, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.76515 to 2 decimal places.\nAnswer: -3.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/11 + 5476*n**3\/11 + 498*n**2.\nAnswer: -2*n**2*(n - 2739)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5042, 1, 11.\nAnswer: -5042, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c - 2. Suppose 0 = -6*x + 5*x + 1. Let o be q(x). Let m(k) = 2*k + 3. Does 10 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 1592319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkkjljkkkjkvlllkljj. Give prob of picking 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 9. Let u be j\/(-2)*4\/(-3). Suppose 0 = -z - 0*z. What is the closest to z in u, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -39, -81, -141, -225?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 3*g + 2*g. Suppose -2*k + 4*d + g = 0, 2*k + 0*d = 5*d + 19. Suppose -b = -1 - k. Calculate the lowest common multiple of 10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-122 - 17 - 268)*(-5 + 4*l**3 + 5 - 2*l**2)*(2*l + 0*l + 0*l) + 7*l**4 - 23*l**2 + 23*l**2 in the form n*l + v*l**3 + h + d*l**4 + o*l**2 and give d.\nAnswer: -3249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 726.138 + -726. Let x = 26.9 + -27. Is h < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 7040?\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 121 = -4*x, 4*x - 13631*s + 111 = -13632*s for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j - 54. Let a be (-54)\/(-81) - 5*14\/(-3). Let q be (0 - (-162)\/a)\/(3\/(-8)). List the prime factors of t(q).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019697 to 6 decimal places.\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + -2 - (-195 + 189)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 56*z**2 - 192*z + 337. Is y(45) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let q = -18 - -22. Let i = m + q. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4641*c**2 - 4648*c**2 + 13943*c**2 - 4648*c**2 - 2 + 2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32748402 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -28355000?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/120 + 5*v**3\/6 + 6*v**2. Let d be h(0). Which is the second biggest value? (a) -2 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*1 + -5)*4.\nAnswer: -20 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3 + 23*k. Let x(q) = -q. Suppose 3*h + 0*h = 3. Let m(d) = -6*d. Let n(b) = h*m(b) - 8*x(b). What is n(y(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.6. Let z = 3\/824 + -22663\/824. Let t = -27 - z. Do x and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)\/sqrt(5) + 0 - (sqrt(1216)*3 + -3))**2.\nAnswer: -156*sqrt(19) + 12853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-40)*3 + (-19)\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -418.23352 - -418.2. What is w rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9639 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 26 + 22 = 0. Let a = 10 + t. Suppose -24 - 240 = -4*p. Calculate the highest common factor of p and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025735 is divided by 73222.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifu when three letters picked without replacement from {w: 2, m: 2, r: 1, i: 1, u: 1, f: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252)\/10)\/(-3) - (-237)\/395.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s + 8. Let w be a(-9). Suppose -3*p + w = 14. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106592 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 5*i**8\/48 - 4*i**5\/15 - 2*i**2 + 43*i. What is the third derivative of l(o) wrt o?\nAnswer: 2100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 0, 0 = 5*v - 174*z + 179*z - 13 + 43 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 51 + 66)*(-g + 3*g + 0*g).\nAnswer: 204*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/2*(-468)\/(-819).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-1323)\/126.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.063 + -35.937. Let i = -71427.9444 + 71464. Let l = z + i. Round l to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhffh. What is prob of picking 1 f and 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57507 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 8 = -3*f - 30*z, -24 = -3*f + 3*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 10002.\nAnswer: 40008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 2*x. Let m be f(-1). Solve -5*p = m*b + 9, -3*p = 5*b - 4*b + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*n = -2429, -4*g + 0*n + 2433 = -n. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - 1 - g)*(2259 - 7708*g**2 - 2259).\nAnswer: -15416*g**3 + 7708*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217 - -220. Does 78 divide i - (8050\/(-8) + (-21)\/(-84))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 732 and 2562?\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00921 * -0.05121.\nAnswer: 0.0004716441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (145\/(-10))\/((-1)\/2) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 529932 divided by -19\nAnswer: -529932\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 82*j**2 - 56*j + 46. What is d(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 3, l: 3, k: 1, i: 6}. Give prob of sequence iz.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 7*b**3\/2 - 21*b**2 - 27*b. Differentiate p(r) wrt r.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 9*m - 12. Let r be b(9). Let d be r\/36 - 16\/(-3). Suppose h = d*h - 184. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*u**5 + 326*u**4 - 4244*u**3 - 20864*u**2 + 1280*u = 0 for u.\nAnswer: -8, -5, 0, 2\/33, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o\/o**(-3)*((o\/o**(1\/9))\/o)\/(o\/o**(2\/13))*(o**(1\/3)*o)**(3\/8)*o**(-6\/5)*o**(-4) assuming o is positive.\nAnswer: o**(-4279\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303 and 14069906.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109905433.\nAnswer: 11, 1367, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-9)\/(-30)*5. Suppose v + d*v - 36 = 0. Suppose -3*b + 3*g = v, -7*b = -3*b + 3*g - 2. Which is smaller: b or -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -292 - 732?\nAnswer: -9c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(988\/(-39))\/(0 + 1). Suppose 3*h - u = 3*u + 40, -5*h + 2*u = -v. Calculate the highest common factor of h and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((4 + (4*sqrt(684) - sqrt(684)) - -3*(sqrt(684) + 4)) + 2)*5)**2)*-5.\nAnswer: -3118520 - 162000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(-17*j**2 + 8*j**4 - 5*j**2 - 2*j**4).\nAnswer: -12*j**4 + 44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:10 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -393 - -395. What is the nearest to -1 in -0.11, 0.5, d, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 168\/5*a + 1\/5*a**2 + 7056\/5.\nAnswer: (a + 84)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -498798616 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 + 7*t + 8. Let q be h(-6). Sort 0, -7, q, -1 in decreasing order.\nAnswer: q, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:08 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, z: 6, t: 2, h: 1}. What is prob of sequence zh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7892 bigger than -7931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:50 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19, -5 in descending order.\nAnswer: -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -4*m + 17. Is 6\/m + (-224)\/(-12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 30*o + 37. Let x be b(16). Let p(a) be the first derivative of -2\/3*a**3 + 0*a**2 - 4*a + x. Differentiate p(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3929461.4 and 3.0486.\nAnswer: -3929458.3514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*z + 14815 = 0, -4*p + 29666 = 5*z - 3*z. Suppose -3*j + p - 1519 = -a, a - 1968 = -j. What is j rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 35, 20, -1, -28, -61, -100?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 792648 and 1524.\nAnswer: 100666296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s**3*u**2 - 3*s**2*u**3 + 235397*s**2*u + 2*s*u**3 + 2*s - 86*u**2 + 1948 wrt s?\nAnswer: 24*s*u**2 - 6*u**3 + 470794*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -262 (b) 5 (c) -4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 23*r**2 + r - 23. Let b = -62 + 63. Let i(t) = -t**2 - t - 1. Let j(l) = b*i(l) + s(l). Differentiate j(o) wrt o.\nAnswer: 44*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.13, -0.4, -14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1354\/3 - 451. Let d(w) be the second derivative of 1\/20*w**5 + 0*w**2 + 0 + k*w**3 - 5*w + 0*w**4. Give d(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.15, 5 in increasing order.\nAnswer: 0.15, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 11 - 12)*(2*y + y - 2*y) + 4*y + 0*y - 3*y + (5 - 3 - 4)*(-3*y + 0*y + 9*y) - 2*y + 3*y + y + y - 3*y + 4*y as n + q*y and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 - 10*u - 2. Calculate y(-7).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67328*b**3 - 5*b - 313813383 wrt b.\nAnswer: -201984*b**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -937642, -1875280, -2812914, -3750544, -4688170?\nAnswer: -5625792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 14*d**2 - 11*d - 6. Is u(-13) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*d**4 + 4*d**4 + 5*d**3 - 24*d**4 + 2*d**4 - 30*d**2 wrt d.\nAnswer: -48*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2320012001 (base 4) to base 8\nAnswer: -2700601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -86*g + 10. Let x(d) = 82*d - 8. Give 4*x(n) + 3*z(n).\nAnswer: 70*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1956 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270.606 litres to millilitres.\nAnswer: 270606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:51 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - -5.7. Let o = -1.4 + 1.1. Let y = o + d. Which is the third smallest value? (a) -0.5 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 93330?\nAnswer: 559980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135532628 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -5\/4, 32288, 76, 2?\nAnswer: 32288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-44)\/12)\/((-3)\/(-18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5666.\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeve when four letters picked without replacement from eeve?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -10*l**7\/21 + 2*l**6\/5 + 7*l**5\/5 - l**4 - 4*l**3\/3 + l - 1. Find t such that k(t) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o = 3*u - 183, -2 = -2*o - 5*u + 44 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 597430133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4 + 4)*(0 + 3 - 4)*(0*l**2 - 4*l**2 + 3*l**2 + 2*l**2 + 0 + 0 - l**2 - 1 + 1 + (0*l + l + 0*l)*(0 - 2*l + 0))*(-9*l**2 - 23*l**2 + l**2).\nAnswer: -62*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -777c6?\nAnswer: -777c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/(-4)*1\/2. Let r = q - 4. Suppose r*z - 29 = 6. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2145 - 3 - (5\/5 - -4). Suppose -a + o = 2*u + 115, 1008 = u - a. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -13*u**3\/6 - u**2 - 10*u. What are the prime factors of b(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*d**2 - 209*d**2 + 105*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1313280 and 204288.\nAnswer: 9192960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 - 447\nAnswer: -449.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 8*i**2 - 9*i + 2. Is z(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*u - 31720, s - 9106 + 2749 = 3*u. What are the prime factors of s?\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08848924726 to four decimal places.\nAnswer: -0.0885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/5 - 18*g**3\/5 + g**2\/5 + 18*g\/5.\nAnswer: -g*(g - 1)*(g + 1)*(g + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.64 - 4.3. Let u = 0.3 - 1.1. Let j = y - u. Round j to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11 - (-18 + 6 + -2586)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 290, 293, 296, 299, 302, 305?\n\"Answer: 3*i + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhn when three letters picked without replacement from vhvvnnvbvvnwhv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2521274648.\nAnswer: 2, 315159331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13 (b) -77\/6 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-6))\/((o\/(o*o**(-2\/17)))\/o*o))\/((o*o**(-3))\/o*o*o*o**(2\/7)*o) assuming o is positive.\nAnswer: o**(904\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (7 + -9 + 13 + -15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7722 + 6311. Which is smaller: -1410 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 19. Suppose -7 = 9*a - 8*a. Let d be z(a). Find the third derivative of 43*g**d - 2867*g - 24*g**5 + 2867*g wrt g.\nAnswer: -1440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -534 - -530. Let x = 3908301 + -3908305.000067. Let s = x - o. Round s to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 5*q + 95, -51 = 6*b - b - 5*q - 11 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 6*r + 22. Let g be (-88)\/r - (4 - 2). Is (-3 - (g + 1)) + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - -3) + 1 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.064 and 76?\nAnswer: -4.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 216 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p**5 - 224*p**4 + 7908*p**3 + 34384*p**2 - 33072*p - 8960 = 0.\nAnswer: -16, -5, -2\/9, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29703410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 7648?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 30 = 4*m, 0 = -8*m + 3*m - 3*i + 31 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = 6*n - n, -3*k + 5 = 2*n. Let q be n\/28*-2 - 11525\/(-35). Round q to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 17 - ((-10 - -21) + -46)) + -11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1323739 is divided by 5990?\nAnswer: 5939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 2*f**3 + 2057 + 3*f**2 - 5*f**2.\nAnswer: -2*f**3 + 2057","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 9198*v**2 + 373 - 1310*v**2 - 374 - 90*v**2 in the form h + p*v + q*v**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 7. Let b(r) = -r + 8. Let d(h) = -4*b(h) + 3*p(h). Let c be d(11). Suppose n + 9 - 11 = c. What is the highest common factor of n and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 45\/(-6)*(-1 - (-1)\/(-3)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 17 + 16. Which is greater: h or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: b\"What is the sth term of 790293, 790299, 790305, 790311, 790317?\n\"Answer: 6*s + 790287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 10*a**3 - 5*a**3)*(-a**2 + 4*a**2 - a**2).\nAnswer: -28*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -4*u**5\/5 - 5*u**4\/3 - 16*u. What is the third derivative of p(c) wrt c?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 - 264*h**2\/5 + 161*h + 1068\/5.\nAnswer: -(h - 4)*(h + 1)*(h + 267)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by 7\nAnswer: 220\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*w + 270 = -2*b, 2*b - 4*w + 146 = 0. Let f = 73 + b. Find the first derivative of -16*i**f + 6 - i**4 - 11 - 8 wrt i.\nAnswer: -68*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*c**2 - 140*c**2 + 40*c**2 + 22 as u + b*c**2 + m*c and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - n)*(0 - 2 + 3) + 172*n + 6 - 202*n - 270*n to u + h*n and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -2a5?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -2609\nAnswer: 1304.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20292.15 + -1510?\nAnswer: 18782.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1300 + 1299. Let s = 958 - 961. Let k be (2\/(-3))\/(1\/(-3)). Put s, t, k in ascending order.\nAnswer: s, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2050.58 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(0 - 7 + 1) + 0 - 2 + 4 + 2 - 2 + 1)*(-2*q + 0*q + 0*q).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45343 + -30990. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5 + 1894*n**4 - 129*n**2 + 5223557*n wrt n?\nAnswer: 40*n**3 + 22728*n**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 354*x - 13273. Determine r(42).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21854610 divided by 5.\nAnswer: 4370922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 54. Suppose 4*y = -2*m - 75 + 297, 0 = y - 5*m - 50. What is the remainder when y is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3997193 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 464, 1383, 2302, 3221?\n\"Answer: 919*m - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -12 + c - 15 - 9 + 44. Determine l(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3936 - 3736. Calculate the highest common divisor of n and 14200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - 6) + 8 + 15\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:04 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55683897 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v + 9*v + 27*v in the form f + d*v and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1*1))\/(90\/(-270))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - v**2 + 1. Let j be n(1). Suppose -3*c - 469 = -5*f + 7, j*f - 5*c - 179 = 0. Suppose -23 = -3*s + f. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-42) - (-4)\/(56\/66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51069334061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3*258\/1. Suppose 3*i - q = -4*o, -5*i = -5*o - 102 - 18. Suppose 0*n = 2*n - i. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - u**2 - 6*u + 1. Let i = -7 - -5. Let v = i - 3. Let t(j) = -j. Let m(b) = v*t(b) + p(b). Find q such that m(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/3)\/((-7)\/42). Suppose -4*h - 7 = 5, -2*l - o*h - 2 = 0. Solve 4*y - 3*y - l = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.62439977 - -28.6144. Let z = w - -0.01. Round z to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1115332.9977 - 1115387. Let u = -54 - m. What is u rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:41 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 57662 - 1597. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 998903481 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885*h + 93*h**2 - 462*h + 2888 - 2888 - 423*h.\nAnswer: 93*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -13. Let w be (-12 + 0)*f\/(-4). Let m be w\/2 + (-9400006)\/4. Round m to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - g + 660. Let t(s) = 2*s**2 - 659. Let u(y) = -6*i(y) - 5*t(y). Find the first derivative of u(k) wrt k.\nAnswer: -8*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*6 - (5 + (-135)\/25). Let f = -549\/85 + u. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3095826 and 34050.\nAnswer: 77395650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02975317 to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 818, 758, 684, 596, 494?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*m + 26 = 0, 2*b - 6 = -3*m + 10. Let g = b + -2. Let j = -9 + g. Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*y + 5*i - 0, -4*i + 18 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9423.51 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 1, o: 1, y: 1, n: 2, c: 1}. What is prob of sequence oy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-2)\/((-6)\/105). Suppose 4*f = -3*q + 199, -6*q = -f - 3*q + 61. Let s = f + g. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51628232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 1, 2*j - j + 3*c = 371. Suppose 6*i - i - 5 = 0, -3*p = -i - j. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -397716 * 0.023.\nAnswer: -9147.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 5*k**2 + 14*k - 2. Determine g(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11940 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2592 and 1616976?\nAnswer: 9701856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88011 and 793386.\nAnswer: 705320154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/12 - (-6)\/24)*0. Suppose -o = -3*o. Factor o*j**4 + 4*j**4 + x*j**4.\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 15 + 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.028909 and 0.10020477563.\nAnswer: 0.12911377563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6200001*u**3 - u**2 - u - 1. Suppose 0*p + 12 = p. Let r be p\/(-30) - (-6)\/(-10). Let z be l(r). What is z rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, 1.3, 5, 0.2, -2.1 in increasing order.\nAnswer: -2.1, -2, -0.2, 0.2, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (447*b - 71*b + 367*b + 411*b)*(3*b + 7*b + 2*b).\nAnswer: 13848*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5694641 (b) -3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -54*q. Let b(c) = -c**3 + 12*c**2 + 27*c + 16. Let h be b(14). Let i(x) = x + 14623 + h*x - 14623. Give m(i(d)).\nAnswer: -162*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30732*-0.3\nAnswer: 9219.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 14434021.31 to the nearest one hundred thousand.\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:02 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200001 - 10121200121?\nAnswer: -10122100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4627 + -4608.585. Let i = 0.415 - o. Which is the third biggest value? (a) i (b) -3\/7 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**3 + 31*l**2 + 5*l + 12. Give t(-6).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 806412 and 25058?\nAnswer: 8870532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (4246505\/(-25) - 5)\/(10\/(-25)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7070309?\nAnswer: 67, 105527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1147831 + -5\nAnswer: -4.8852169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y - 11 - 4 - 115*y**2 - 102 wrt y?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000572 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*m + 55 + 272, 646 = 4*m - 2*t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 6. Let o be p(-4). Let q be (o + 100\/(-8))*(-212)\/6. Suppose 5*y + 6*r - 4*r - q = 0, y = 2*r + 67. What are the prime factors of y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**6\/6 + 9*v**5\/5 + 29*v**4\/4 + 13*v**3 + 9*v**2 - 1637. Factor s(n).\nAnswer: n*(n + 1)*(n + 2)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-7))\/(i\/(i*i**(2\/3))))\/((i*i**(-2\/11))\/(i*i**(-3\/5))))\/(i**(-2)*i**5*i*(i*i**(-7))\/i*i**(-6)\/i) assuming i is positive.\nAnswer: i**(866\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**2))\/s)\/(s*s\/((s\/s**27)\/s)))\/(s*(s*(s\/s**11)\/s*s*s)\/s)**(-29) assuming s is positive.\nAnswer: s**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74568 by 3.\nAnswer: -24856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3\/13 (c) -8 (d) 2\/31 (e) 0.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18954?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -7 - 4\/2*2. Solve 6 - 1 = -3*p + 2*f, -c*p - 3*f = -15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*p**2 + 50*p**2 - 2 - p**3)*(3 - 3 - 3 + (1 - 1 + 1)*(4 + 0 - 5)).\nAnswer: 4*p**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36273640, -72547267, -108820894, -145094521, -181368148, -217641775?\nAnswer: -253915402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*b + 9. Suppose -12*v + b*v = -72. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1412661 - -3111?\nAnswer: 1416102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-6))\/(2 + (-8)\/3). Solve 4*z + n*b + 20 = 0, 8 = 5*z - 2*b + 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*o*y**2 - l**2*o*y + 8*l**2*o - 6*l*o*y**2 + o + y**2 wrt y?\nAnswer: 4*l**2*o - 12*l*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.501904 months to years.\nAnswer: 1.208492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10159 + 16494. Calculate the remainder when i is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 54387900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09, -2, 4, 0.1, -5, -0.03606?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 139344298 and 3?\nAnswer: 139344295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-3)\/(45\/365)). Is r < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3 + 156*i**2 + i - 156 = 0.\nAnswer: -1, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137\/262 + 3\/131. Which is the biggest value? (a) -0.1 (b) 0.4 (c) x (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3, 38, 1 in decreasing order.\nAnswer: 38, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003 times 4?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/8, 2\/7, -1, 2\/63 in descending order.\nAnswer: 2\/7, 2\/63, -1, -21\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-20) - (-6)\/15. Suppose -47 = h*o - 9. Let p = o - -10. Put p, 2, 1\/5 in decreasing order.\nAnswer: 2, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 284*b + 1489*b**6 - 9*b**2 - 243*b + 28*b**2 wrt b.\nAnswer: 178680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((9\/24)\/(-1))\/(258\/860))\/1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/16)\/((-14)\/(-12) - (-16551)\/(-14712)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 9. Let g be (-6)\/(-5)*c*(-3 + -2). Solve 1 = -r + g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -14*g - 4*g. Let j = 52 + -32. Calculate the lowest common multiple of g and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45417a + -21?\nAnswer: 454159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvcvcvv. Give prob of picking 3 v and 1 c.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*f + f - 4, 0 = -2*i - 10. Solve 53 = 9*z + f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(3*21\/8466). Let a = 404 + f. What is the common denominator of -61\/4 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = 8. Let p be (1774\/591)\/(-1) - j. Let x = -329\/394 - p. Calculate the common denominator of x and 1\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 a when four letters picked without replacement from peeppeacmmeemmep?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128042*q**4 - 99*q**3 - 32885221*q**2?\nAnswer: 3073008*q - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 6. Let n be x(0). Suppose n = -h + 8. Solve h*a = 3*q - 0*a - 10, -18 = -4*q - 2*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 1\/3 (c) -12 (d) -30 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 226338389 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u = 19. Let n be (-7)\/21 - 32\/(-6). Suppose x + 5*g = -4*x + 5, -n*x + 37 = -3*g. Solve -u = -x*t + 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 45302*y\/3 - 3067620.\nAnswer: -2*(y - 22446)*(y - 205)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**8\/20160 - z**6\/720 - 19*z**5\/30 + 43*z**2. Let j(i) be the third derivative of f(i). Calculate j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17533 take away -0.4?\nAnswer: 17533.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m = 51*m - 3*n - 19788, -3*n = 12. What are the prime factors of m?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7974344 by 3987172.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 0*k - 62*k + 20*k.\nAnswer: -37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0 (b) 4 (c) -2 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a hour?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*o = -43, -2*o = -5*h - 0*o + 55. Let x = 10 + -6. Let w = x + h. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094105165?\nAnswer: 5, 31, 7058743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/240 and -83\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 <= 381\/11815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*g**3 + 2*g**2 - 7*g**3 + 396*g**3 as t + d*g**3 + u*g + y*g**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -7\/12*x**4 - 3\/20*x**5 + 0*x**6 + 0 + 43*x + 0*x**3 + 5\/14*x**7 + 0*x**2. What is the third derivative of z(l) wrt l?\nAnswer: 900*l**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -0.4 (c) -31\/2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160209*11.\nAnswer: -1762299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-27)*(-6)\/5.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 1.107825?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 0*g**3 + 0*g**4 - 16*g**2 - 1\/10*g**6 - 13\/60*g**5 + 0*g + 0. Find the third derivative of o(w) wrt w.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2 + 2 + 6*t + 7. Let m(u) = -2*u + 4. Let x be m(3). Let a(v) = 2*v + 2. Give x*n(j) + 7*a(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -39. Suppose -x*s - 20 + 338 = 0. Let r = -40 + s. What is the smallest common multiple of r and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 91 and -160306?\nAnswer: 160397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + w = -3*w, c = -3*w. Suppose -5*k - 6*j + 35 = -j, 4*k = -2*j + 32. Suppose -3*v - k = c, -2*n = 3*v + 24 - 5. Sort 1\/3, n, 0.3.\nAnswer: n, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -381 + 385. Suppose h*r = -i + 558, 6*i + 3*r - 1131 = 4*i. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*b + 436 = 0, 0 = -4*j + 3*b + 383 + 4. Calculate the remainder when j is divided by 88.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1467 - -1474. Which is bigger: v or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 1\/70*n**5 + 0 + 2*n - 1\/42*n**4 - 2\/21*n**3 + 0*n**2. Factor t(h).\nAnswer: 2*h*(h - 2)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 1044 = -2028. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.36149\nAnswer: -0.144596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, y: 2, u: 1, l: 5, c: 3}. What is prob of sequence uyl?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*n - 18. Solve 2*b - n*y + 6 = 0, 5*y - 3 = 2*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, t: 3, c: 3, g: 2}. Give prob of picking 1 t, 1 j, and 2 c.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.8, -0.4, -0.5, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 573504 and 57680.\nAnswer: 20072640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 2*m**3 + 1 - m**2 + 8 - 3*m**3. Suppose 4*p = 4*t + 8, 5*t + 10 = -0*p - p. Let d = t + 2. Give f(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 46*u**2 + 272. Let m(t) = -9*t**2 - 51. Let c(i) = -16*m(i) - 3*s(i). Let l(h) = 16*h**2 - h. Give l(c(v)).\nAnswer: 576*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 + 186. Let l = r - 1184\/13. Is l smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeooooeeoeooe?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {s: 1, n: 1, i: 1, b: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (72\/81)\/((-3)\/(-27)). Solve 10*z = 5*b + a*z - 13, z = -4*b + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10282.28 days to seconds.\nAnswer: 888388992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5.3. Let o = -6074 + 6074.3. What is the smallest value in o, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -12a1?\nAnswer: -12a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0*p**2 + 4*p**2)*(-p - 3 + 3) - 5*p**3 + 5*p**3 - p**3 - 3*p**3 - 2*p**3 + 4*p**3 + 5 - 19*p**3 + 21*p**3 + 6.\nAnswer: -2*p**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 27 = 8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.985826+8\nAnswer: 12.985826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*o - 5 = n, -5*n - 3*o + 40 = 0. Suppose 23 = p + 4*x, 0*p - 65 = -n*p + 5*x. Let q = -9 + p. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**3\/6 + 17*a**2 + 4*a. Let d be v(-14). Suppose -4*o + 0 = d. Is o greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 371 + 2101 + 11102 + 3*z**4 + (0*z**3 - 2*z**4 + 0*z**3)*(-2 + 3 - 3) to f*z**4 + b*z + p*z**2 + c + m*z**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -20844 at least -16349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - l + 585. Let p = 73 + -73. Is 15 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (155\/(5270\/(-136)))\/((-1)\/((-3)\/(-72))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 1, t: 6, j: 6, v: 2, q: 1}. What is prob of sequence zz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -1583625\nAnswer: -46\/1583625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i**3 - 5*i**2 + 1. Let c(n) = -n**3 - n**2 + 1. Suppose -19 = 443*z - 424*z. Give z*j(q) + 3*c(q).\nAnswer: 3*q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(2*sqrt(45) + 4) + -2))**2.\nAnswer: 1152*sqrt(5) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56f6 - 60d?\nAnswer: 50e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 (base 11) in base 6?\nAnswer: -1525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 - 11*i**2 - 50208*i**3 - 2*i**2.\nAnswer: -50208*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Suppose g = -3*b - 2*b + 25. Find the second derivative of 4*q - 3*q**b - q**5 + 2*q**5 wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzm when three letters picked without replacement from {m: 5, z: 1, l: 12}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + t + 1. Let v(f) = -f**2 - 8*f + 4. Let s(d) = 6*d**2 + 42*d - 21. Let c(j) = 4*s(j) + 21*v(j). What is -5*c(q) + 2*w(q)?\nAnswer: -3*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/405 - 5543\/1620. Find the common denominator of r and 99\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 21 = -3*n, 0*n + 2*o - 20 = -5*n. Suppose 4*t + 3*u + 47 = -2*u, 2*t = -5*u - 31. Calculate the least common multiple of n and 0\/(-2) + t\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 531150203 - -4?\nAnswer: 531150211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 15. Let i = 32624 + -32629. Determine s(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*(12 + 345\/(-30)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0.2, -2\/55?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8277, 16, -2, 4, -13 in descending order.\nAnswer: 8277, 16, 5, 4, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103212 rounded to the nearest 100?\nAnswer: 103200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*o**2 + 10*o**2 - 11*o**2 + (-8*o + 6*o - 1 + 0*o)*(-o + o + 5*o).\nAnswer: 7*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 150*h**2 - 265*h + 420.\nAnswer: -5*(h - 1)*(h + 3)*(h + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (9 - (-8 + 35)) + -22 - -15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 110*x + 27 + 23 - 117.\nAnswer: -110*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1037512, -2075026, -3112540, -4150054, -5187568?\nAnswer: -6225082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 80. Let v(p) be the second derivative of 0 + 0*p**4 + 1\/30*p**6 - 4*p + 0*p**5 + c*p**2 - 1\/2*p**3. Find the second derivative of v(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + f**3 - 4*f**3 - 2*f**3 - 4 + 4 + 4 - f**3 - f**3 + f**3 + (-3*f - 2*f + 3*f)*(f - f**2 - f) as v + g*f**3 + n*f + m*f**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10\/(l\/l**(-23)*l))**(2\/7) assuming l is positive.\nAnswer: l**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:53 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133115?\nAnswer: 5, 79, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 167931 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*v, -2*v + 0*v = -2*d + 8. Solve -d*n = -2*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-15))\/(((-476)\/35)\/34).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6263 - -50015\/8. Find the common denominator of g and 5\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61)\/(4026\/165))\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - b - 11 = -55, 4*b = 0. Suppose 74 = -m + 65. Let f = m + c. Let n(p) = 4*p + 2. Give n(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-4)\/20)\/((-1)\/(-5)). Let g be (-16)\/56 - 81620010\/u - -1. What is g rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.5, 3, -1\/4 in descending order.\nAnswer: 3, 0.5, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -7319216?\nAnswer: -731920a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 13, -1210.\nAnswer: -1210, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3457841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 309432.4 meters in millimeters?\nAnswer: 309432400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.203 - 8.497. Let f = o - -9. Which is the second smallest value? (a) -0.1 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 258, -8, -2\/5, -1, 775?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*m + 63. Let j = 11 + -2. Let z = -5 + j. Solve -z*w - m = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87104545.\nAnswer: 5, 11, 29, 97, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2\/7 + 326859*m\/7 + 93390 = 0.\nAnswer: -2, 108955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, p: 1, a: 1, e: 1, r: 1}. What is prob of picking 2 p, 1 q, and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 42896*z**2 - 103774356*z - 61619360040.\nAnswer: -4*(z - 5607)**2*(z + 490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1 + 0)\/(2 - 5). Solve 5*f - u + 0*u + 15 = a, -4*f - 12 = -2*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 3*m - 2246 + 2192, 0 = 5*m + 90 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - 4.98. What is the third smallest value in -3, f, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -31*q**2 + 61*q + 386. Let h(r) = 5*r**2 - 10*r + 1. Give 6*h(d) + x(d).\nAnswer: -d**2 + d + 392","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.128 and -12027?\nAnswer: 12026.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -191 - -274. Let k = 171 - q. Let n = -48 + k. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 24*s**3 + 4*s**2 - 12*s + 2. Let o be w(3). What is the greatest common factor of o and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3 + 11*k - 3 to the form x + r*k and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2105, -5, 5, -1, 2, -13\/4?\nAnswer: -0.2105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 2.06. Suppose -3*z - 2 = -5*l - 0, 0 = -3*z - 4*l - 20. Let n = 0.8 - 5.8. Which is the closest to 0? (a) z (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from jjjjjjjjnjjjn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69\/7*h**2 + 3\/7*h**3 + 240\/7*h - 228\/7 = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -97*z + 55*z = -69*z - 1134 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28145011\/3168 - 79960\/9. Find the common denominator of -53\/32 and l.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 - 16*p + 143. Is 10 a factor of k(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 2*y + 7. Calculate z(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5699650 and 220.\nAnswer: 11399300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 192744.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + -2 + (-2 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8658589111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -6 (c) -1887\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26 + 2*u - 15 - 4 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4, 5*z + 2*n + 2*n = -4. Suppose -8 = -2*d - z. Suppose -103 = -d*h - h + 4*w, 3*h - 3*w = 63. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2 + 22. Find the second derivative of -30*a**3 - 5*a + 22*a**3 - u + 6 wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*k = 541*k + 640 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 193189097546?\nAnswer: -193189097545.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 18 = -3*z, -a + 2*z = -0*z + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 8. Let t(a) = 11*a**2 - 3*a**2 - c*a**2. Let o(y) = -y + 7. Give t(o(r)).\nAnswer: 2*r**2 - 28*r + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9207*k**3 - 2*k + 2*k - 9198*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97425 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -153, -257, -363, -471?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**4 + 39*w**3 - 63*w**2 - 39*w + 66 = 0.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24275 and 294213?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 140507 (base 8) to base 2\nAnswer: 1100000101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 246414449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 21. Let d(k) = k**3 + 3*k**2 - 3. Let i be d(s). Sort -5, -1, i in decreasing order.\nAnswer: -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 178.\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*h = 222*h - 466 + 156 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115662772?\nAnswer: 2, 28915693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -7*i**5\/5 + 4*i - 5. Differentiate c(w) with respect to w.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -14*a + 19. Calculate the remainder when 23 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461865 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 18 = 3*n. Suppose 2558*x + 96 = 2570*x. Calculate the greatest common factor of x and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.40404*1.\nAnswer: -0.40404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - (-10 + -2)) + (126 - 132) + 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + 0 + (1 + sqrt(539) + sqrt(539) - sqrt(539)) + -4 + sqrt(539) + sqrt(539) + 1 + -4 + 0)**2 + -2.\nAnswer: -126*sqrt(11) + 4858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*j + 3 = 5*j - 9*j, 0 = -4*j. Let z(p) = 16*p + 20. Let m(h) = h + 1. What is x*z(u) + 20*m(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 133556 divided by 133556?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -30. Let p be (35\/f)\/(2\/(-4)). Suppose -10*t = -p*t. Solve -3*w + 17 - 2 = t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -2 (c) 149 (d) -5 (e) 0.2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-27)\/(-5462)) - 35\/(-315). Let w = 1215\/2 - m. Factor -w*b - 1\/4 - 1\/4*b**2.\nAnswer: -(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15527, -31346, -47165?\n\"Answer: -15819*q + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z)*(-2*z - z + z) - 6*z**2 + 3*z**2 + z**2 + z**2 - 2*z**2 + 2*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + (5*(sqrt(1584) + -1) - sqrt(1584)))**2*-1.\nAnswer: -25353 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 129*r - 485. Let z(u) = 2*u**2. Calculate z(b(n)).\nAnswer: 33282*n**2 - 250260*n + 470450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, 774, 1145, 1504, 1851?\nAnswer: 2186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddrdrdrdrrdrrdrrdd. What is prob of picking 4 d?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/3*22\/(-55). Let s be (-6657)\/(-42)*8\/(-198). Let y = 68\/11 + s. Which is the nearest to 1\/4? (a) 0.2 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -211*v + 66*v + 58*v + (2*v - 1 + 1)*(-2 - 4 + 5) - 2*v - 4*v + 2*v.\nAnswer: -93*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-105) - 321\/45. Which is the closest to m? (a) 4 (b) 2 (c) 0.5 (d) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 6:46 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y + 860942 = 44*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2255591300 + -0.02.\nAnswer: -2255591300.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00093092575 to six dps.\nAnswer: 0.000931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244 + -214. Calculate the highest common divisor of r and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + 1 + sqrt(1700)) - ((sqrt(1700) - (sqrt(1700) + -1))*1 + 0)**2.\nAnswer: 11 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000055273 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m + 144. Let k be z(-20). Suppose d = k*r - 1519995, 5*r - 1900005 = -2*d + d. What is r rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(84)*2 + sqrt(84))*3 - (sqrt(84) + 6*-4*sqrt(84)))\/(4*3*(sqrt(108)*2 - sqrt(108))).\nAnswer: -2 + 8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 133.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123903*v - 677874*v + 553974*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2. Let t(z) = -127*z**2. Let o(s) = 190*s**2. Let f(q) = -7*o(q) - 10*t(q). Determine f(n(g)).\nAnswer: -240*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by (-3)\/(1*-2*12\/296)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + o**2 - 2*o**2)*(-7 + 1 + 2) + 614*o**2 - 376*o**2 - 338*o**2.\nAnswer: -104*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 15. Let j = -41\/3 + c. What is the closest to 2\/3 in -6, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h**3 + 8*h**3 - h**3)*(-18 + 18 - 6*h)*(-1 - 2*h + 1).\nAnswer: 228*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30*(240\/50 - (2 - -2)). Is (10645\/4)\/(-4 + 102\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1203671, 1\/3, 5?\nAnswer: -1203671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177354 is divided by 177316.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.044*-99\nAnswer: -4.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) + -1*sqrt(567) - sqrt(567)) + -3)**2 + sqrt(567) - (sqrt(567) + 0 + sqrt(567) + 0)**2) + (3 + (sqrt(567) - (-3 + sqrt(567)))*3)**2.\nAnswer: -1548 + 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2*f - 4, -2*u - 1 = -3*f - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3 * 0.1.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhmz when four letters picked without replacement from mqhmmhhmmqdz?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6 + (-6771)\/(-549)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*q - 70 - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*a - 189*a - 118*a.\nAnswer: -238*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/5)*n**(-6)*n**(-1\/7)*n*n*n**(-9\/10)*n*n assuming n is positive.\nAnswer: n**(-227\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 8 = 0, -2*j - 28069*h = -28073*h + 22 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (12 - 6) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 2. Let x = -11 + q. Let w = -1.38 - -1.18. Which is the nearest to w? (a) -4 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252.49 + 252.4839944. Round z to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11577 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*n + 245*n + 105*n + 87*n to s*n + u and give s.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 83*m**2 + 133*m. Let t(g) be the first derivative of 28*g**3 + 67*g**2 + 68. Let o(k) = -6*t(k) + 5*x(k). Find the second derivative of o(q) wrt q.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -512?\nAnswer: -512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 108690 and -304.\nAnswer: -33041760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -204, -693, -1646, -3219, -5568, -8849, -13218?\n\"Answer: -26*m**3 + 2*m**2 - 5*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j - r, r + 5 - 2 = 3*j. Suppose 4*l - 2*g = 18, l - 2*g = -j*l + 12. Let a be (l\/3 - 1)\/1. Is -1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 315*i - 82*i + 1 + 25*i. Let z(v) = -774*v - 2. Let s(a) = -17*g(a) - 6*z(a). Is s(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.62 + 0.12. Let r = l + 2.2. Suppose -4*q - q = 0. Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911404237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:36 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -4 - l**2 + 6 + 0 - 5. Let x(h) = h**2. Give p(x(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -910859\/180380 - 3\/9019. What is the common denominator of v and -85\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/6*140\/175. Let x(g) = -2*g**2 + 4 - g - 7 + 3*g**2. Let m be x(3). Solve p = q*w, p - w = -p - m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2856902?\nAnswer: 2, 379, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8357463 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.19780749 + 5.\nAnswer: 8.19780749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116531136 divided by -14986.\nAnswer: -7776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9059 is divided by 3000?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, r: 3, b: 2, w: 4, y: 2, c: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2057) + 2*sqrt(2057)*-2 + sqrt(2057)) - (-5*(sqrt(2057) + -1) + sqrt(2057) + -4 + sqrt(2057) + -2))**2.\nAnswer: -22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 2*r + 5. Suppose 0 = -3*j - b + 22, 0 = -5*j + b - 0*b + 34. List the prime factors of q(j).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235 and 20?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 7:38 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 3*x - 6. Give c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/33 and -41\/134154?\nAnswer: 1475694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*d + 400, 0 = x - 0*x + d - 92. Suppose 10 = v - 5*u, -x = -3*v - u - 2. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 3\/2, -0.0974, 2\/15?\nAnswer: -0.0974","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.967 - 1.063. Let h = -6 - i. Let b = 18 - 18.1. What is the nearest to 2\/5 in 0.5, b, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-728)\/(-56))\/(78\/18))\/(8\/((-160)\/5490))\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:09 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**6\/360 + 31*i**3\/3 + 3*i**2\/2 + 98. Let z(h) be the third derivative of a(h). Let k(q) = -6*q. Give k(z(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -146*p + 252. What is t(2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 2*t**2 - 18*t**2.\nAnswer: -35*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*z + 2797 = -11*z - 2568 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*8*(-18)\/(-756)*3\/(-50).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x + 0*x - 5*x**2 + 0*x - 271*x**3 + 273*x**3.\nAnswer: 2*x**3 - 5*x**2 - 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsts when four letters picked without replacement from {q: 3, s: 2, a: 7, t: 3, e: 5}.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2310331 and 18\/7.\nAnswer: 16172317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Suppose 8 = -2*m + f*m. Suppose 6 = m*b - 6. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 639 by -18301.\nAnswer: -639\/18301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17712614*o + 27 = -17712613*o + 3*i, -2*o = 3*i - 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 1\/245*c**7 - 1\/60*c**6 + 1\/42*c**5 + 0*c**3 - 1\/84*c**4 + 0 + 0*c - c**2. Factor x(i).\nAnswer: 2*i*(i - 1)**2*(3*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48360 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 2\/27*p**3 + 4 - 2\/9*p**2 + 0*p. Determine m so that d(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0. Let s = -84 + 89.3. Let r = -5 + s. Which is the nearest to l? (a) r (b) -4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512538 (base 9) in base 14?\nAnswer: 7c972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 4*c - 1. Let o be m(3). Let u(h) = 3678 - 1838 + 13*h - 1836. Let n(p) = 9*p + 3. What is o*n(j) + 5*u(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t - 13. Let o(a) be the first derivative of 5*a**2\/2 - 7*a - 130. Determine -11*o(z) + 6*v(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10*h = -15*h + 46, -2*x - 2*h + 22 = 0. Let o(i) = 10*i - 86. Calculate o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**7\/420 - d**6\/240 + 7*d**5\/60 + d**4\/2 - 113*d**2. Factor w(u).\nAnswer: -u*(u - 4)*(u + 2)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8228 = 12*m - 8264. Let v(g) be the first derivative of 8\/3*g**m + 2*g + 0*g**2 + 13. Differentiate v(w) wrt w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -23097, -3, -2\/149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*v**6 - 7725*v**3 + 3*v**2 + 3496*v + 3 wrt v.\nAnswer: 3120*v**3 - 46350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 4. Let r(y) be the third derivative of -y**4\/24 + y**3\/2 + 2*y**2. Determine 6*r(o) - 5*w(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 383065927?\nAnswer: -383065933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (53532\/(-24))\/3*(-1 - 1)?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 3.49?\nAnswer: -3.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -61*i + 138. Let g be z(12). Let m = g - -594. Solve 2*b - 4*h - 18 = m, 16 = b + 3*b + 2*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 17 = -3*r, -13 = -3*f - f + r. Let q be f\/(-6) - 2\/(-15). Let u = 7.2 - 6.2. What is the closest to u in q, -0.5, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*o + 4*o. Find the common denominator of 79\/16 and o\/3 - (-391)\/60.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 1 (c) 1\/45 (d) 11\/6 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32889 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 16*d - 56. Suppose 8 = -d*q + 8*q - 3*s, -4*q + 16 = -s. Suppose z = 2*z + y - 50, q*z = -2*y + 238. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 2. Let r(f) = f + 2. Let j be r(3). Suppose j*t = 2*c + 3*c, -3*c = -5*t + 2. Let h be s(c). Solve -4*y + 2 + 6 = h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 15 = 10*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341812 is divided by 2886.\nAnswer: 2708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9548 = -188*b - 72*b + 43*b for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*z**3 - 7*z + 54*z**3 + 7*z + 3*z**2 to the form x*z**2 + k*z**3 + t + o*z and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, n: 4, p: 1, y: 1, u: 4}. What is prob of sequence up?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + 1 - (sqrt(21)\/sqrt(3) + -2) - 4*-1*sqrt(567).\nAnswer: 3 + 47*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 2*g - 4*g + (-3 + 2 - 11)*(2 - 2*g - 2).\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 249712 bigger than 248527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7278.5 and 5.\nAnswer: -36392.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/12 + v**3\/2 + v**2 - 5*v. Let g be s(3). Suppose 69 = 5*h + 2*u - 148, g*u = 5*h - 213. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.37 and 0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 175 + 7183986193\nAnswer: 7183986368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-3)*-78*333\/15873.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339757.\nAnswer: 11, 67, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100894.\nAnswer: 2, 61, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**4 - x**2 + x + 1. Let u(k) = -3*k**5 - k**4 + 6*k**3 - 2*k**2 - 7*k - 1. Let g(q) = 4*m(q) + u(q). Factor g(z).\nAnswer: -3*(z - 1)**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46163*n - 2*x + 84 = 46147*n, -2*x = -4*n - 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 2. Let q be f(-2). Let c = 10 - 7. Suppose 2*g - q*b - 18 = 0, -3*g + b - c = -36. Solve -n - 2*n = -g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211333022031 (base 4) in base 3?\nAnswer: 200201220211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -431*l - 7. Let p(o) = -370*o - 7. Let y(a) = -6*i(a) + 7*p(a). Let n(h) = 3*h - 18. Give n(y(c)).\nAnswer: -12*c - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1033 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -77594 times -2?\nAnswer: 155188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*g - 1 = -5, -3*g = -x - 2. Let q = x + 109. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 4*f + 6. Let g(l) = l**2 - 3*l - 5. Let n(a) = -5*c(a) - 6*g(a). Let s(y) be the third derivative of -y**5\/60 - 718*y**2. Give s(n(x)).\nAnswer: -x**4 - 4*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1933085020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 49*v**2 - 6. Let j(k) = 2255*k**2 - 275. Calculate 6*j(n) - 275*w(n).\nAnswer: 55*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 161*l + 266. Let t be c(52). Solve 3*z + 3*d = -6, 5*z - z = -2*d - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32500 and 2300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 + 2 - 2 + (0*x**3 - 3*x**3 + 4*x**3)*(-4*x**2 + 2*x**2 + x**2) - 28*x**5 - 189*x**5 - 182*x**5 + 5*x**5 - x**5 - 2*x**5.\nAnswer: -396*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + s - 2*s = -17, -13 = -2*a + s. Suppose 2*p + 24 = a*p. What is the lowest common multiple of 2 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.44\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 1 f when three letters picked without replacement from {v: 4, m: 1, b: 3, w: 1, f: 1, o: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2675 + 4991 - 1203 = -228*l - 8235 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4, -10, 565, 1, 5\/2, 15 in descending order.\nAnswer: 565, 15, 4, 5\/2, 1, 2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r - 19250 = 5*q, -r = 2*q - 4806. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -232*x**2 - 14842*x + 377. Determine w(-64).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204682?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 56*v + 51. Let n(j) = 28*j + 27. Determine 5*n(u) - 2*p(u).\nAnswer: 28*u + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5896.886 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*l - 17 + 4 = 0, 2*z = -4*l - 14. Let s(j) = -j**2 + 18*j + 9. Let b be s(0). Let n = b - z. 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 the third derivative of 686*q - 95*q**3 - 686*q - 20*q**3 + 195*q**2 wrt q?\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.7, 2\/5, -880.4, 2\/9, 0.2, -0.1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 691905 and 10038.\nAnswer: 9686670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1967 (b) -3\/4 (c) -1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -258*a + 32. Let r(c) = c**2 + 5*c - 37. Let v be r(4). List the prime factors of i(v).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66728 - -139537. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2168880 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3968775.\nAnswer: 3, 5, 31, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(2\/(-2))*12474\/(-462).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 34*g - 61. Let a be j(36). Suppose -2*u + 18 = 4*h, 10*h = a*h - 2. Solve u = -y + s, 3*y - y + 4*s - 14 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.08, 2.\nAnswer: -1\/3, -0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:24 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1275.27 - 1275.84167. Let y = n - -0.572. What is y rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 40 = 16*x. Are -7 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25087.69991 - -25086.3. Let h = k + 1.4. What is h rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -946 divided by -67.\nAnswer: 946\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = 0, 3*k = 8*k - 5*r + 290. Let o = 65 + k. Solve 4*n - o = -26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, 0.2, 10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*p - 3*a, 29 = -3*p - 7*a + 2*a. Let b = -2\/1017 + -1013\/2034. What is the closest to -0.1 in b, p, -108?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2\/2 + 18*i + 1753. Let o(g) = 5*g - 73. Determine -9*d(a) - 2*o(a).\nAnswer: -a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 30 - (-20 - (5 + 3))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g**5 + 0*g**2 - 13\/7*g**7 + 0*g**4 - 9 + 0*g**6 + 0*g - 11\/3*g**3. What is the third derivative of h(u) wrt u?\nAnswer: -1560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001335727 rounded to 7 decimal places?\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 55232*o**2 + 191321920*o + 4559967744.\nAnswer: 4*(o + 24)*(o + 6892)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 300598 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 10*d**2 - 2*d - 14. Let q be z(-10). Let w = 10 - q. What is the third derivative of -h**2 - h**2 + 0*h**4 - 2*h**w wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -39*x**2. Let v(i) = -3*i**2. Give p(v(j)).\nAnswer: -351*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**1)**(11\/2))**16)**(2\/89) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001796059 rounded to 7 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.2 + -4. Let f = 180.4 - 180. What is the nearest to 9 in 0, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 30 + -9 + 33.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*o**4 - o**3 - 1695399*o**2 + 1401876229.\nAnswer: -268*o**3 - 3*o**2 - 3390798*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369200.\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmrm when four letters picked without replacement from rmrmrmmmmrmrm?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.8 - 17. Let g = 4.88 - -0.12. Let h = 56.21 + -21.21. What is the closest to h in -0.1, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 15*l**2 + 178*l + 9. Let w be r(-12). Let q = -29 - -25. Which is the smallest value? (a) w (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 800 and 858720?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -910281, -1820498, -2730719, -3640944?\n\"Answer: -2*s**2 - 910211*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123005535 and 1230.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18134, 18019, 17904, 17789, 17674?\nAnswer: 17559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 169*a + 8473. Is i(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-183)\/61)\/((-3)\/(-35)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d - 12*d**2 + 16*d + 9*d - 9*d - 2*d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*p = 15, -4*m = -9*m + 4*p + 31. Solve 2*v - m*q - 6 = -v, 4*v + 3*q = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -704, 2, 12.6, -5.\nAnswer: -704, -5, 2, 12.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13\/3 (b) -9 (c) 0.75 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 9*h - 9. Suppose 0 = 275*j - 280*j + 35. What is o(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.3, -1\/92726, 6\/7, -1\/4, -3, -0.4, -2\/13?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3662017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -14489 - 6771. What is b rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from aaffjfffjb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-8))\/(z\/(z\/(z\/z**(-11))))*z\/(z**(6\/5)\/z)*z**(-6))**43 assuming z is positive.\nAnswer: z**(-1763\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 6 - 6 + 25 = 0. Sort -5, c, 0.3, -8\/5 in ascending order.\nAnswer: -5, -8\/5, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12)*(-6 + (-154)\/(-21))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3421)\/308 - -11)*14\/(-12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/4, 0.09, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 0. Let x(m) = 8*m**3 - 6*m**2 + 4*m. Let y = 21 + -18. Let w(l) = -5*l**2 + 3*l - 4*l + 7*l**y + 4*l. Determine b*w(q) - 5*x(q).\nAnswer: 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2)*p**(-2\/5))**(3\/11) assuming p is positive.\nAnswer: p**(-57\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 22. What is the nearest to t in -1\/5, -1\/2, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1431198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32914?\nAnswer: 2, 7, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + -1)*(-6 + 7). Suppose 0*s + u - 2 = k*s, 2 = 4*s + u. Suppose -20 = -l - 3*c, s = -0*l + 4*l + 4*c - 40. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:33 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 147029128381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. What is the derivative of -t + 0*o - 4*o + o wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*m - 11518 + 11050 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**4 - 412343320*x**3 + 10626687934445568*x**2 + 21253377518264448*x = 0. Calculate x.\nAnswer: -2, 0, 51542916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13585674.2 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhkkh.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2905, 2724, 2543?\nAnswer: 2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.33522 to 1 dp.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 6 - (-7 - -13)) + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -3*o**4\/2 - 2*o**3\/3 - o + 331. Calculate v(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 6*h**2 + 0*h - 2*h - 2*h**2 to l + v*h + f*h**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1090 and -31\/6867.\nAnswer: 68670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 51*j = 47*j - 93*j - 352, 220 = -5*w + 3*j for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -121*n - 48. Let t be f(-1). Suppose 0 = -81*a + t*a. Which is bigger: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 + 4*f + 1. Let n(z) = 2*z - 50. Let j be n(26). What is the remainder when 40 is divided by b(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72.862 + 73. Round u to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v - 74*v = -41*v. Let p = -9809\/30 - -327. Which is greater: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 3*r + 2. Let q be l(2). Let x be (5\/q)\/(3\/12). Suppose -2*b + 3*b = 2*w - 41, b - 85 = -x*w. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*v = -3*v - 6, 4 = -2*m - 3*v. Let u be (-10)\/(-4)*m\/10. Which is the smallest value? (a) u (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 45*l - 76. Give p(43).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**8\/j*j)\/j**(4\/7))\/(j**(-1\/12)*j\/((j**(1\/3)\/j)\/j)*j*j))\/((j**(-2\/5)*j)**24*j**(-3\/4)*(j\/(j*j*((j*j\/j**(1\/3))\/j)\/j*j)*j)\/j) assuming j is positive.\nAnswer: j**(-1919\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 6*y + 15. Suppose -2*i = 3*u - 739, i - 2*i = -y*u + 751. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23bc (base 14) to base 8\nAnswer: 14142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 9:02 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/96)\/(1\/(-6)). Suppose 2*k - c + 31 = 23, r*c = k + 7. Does k = -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + -2*(sqrt(121) + (sqrt(121)*-5 - sqrt(121)) + sqrt(121)))\/(sqrt(121)\/(sqrt(11)*1) + sqrt(11)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-123)\/(-45))\/(1012\/(-66033)) + -11.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + (-9 - -2) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 - -162. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 742 (b) -1\/6 (c) -0.02 (d) -5 (e) 4 (f) 2\/7 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 92.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cec1 - -4?\nAnswer: 2cec5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 21. Let q = o + -9.9997. Round q to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0757253 grams?\nAnswer: 75.7253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*b**5 + 20*b**4 + 0 + 1000*b**2 + 5000\/3*b + 650\/3*b**3.\nAnswer: 2*b*(b + 5)**2*(b + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18a69 - 10aa?\nAnswer: 1796a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4463146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/72*30*-2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*h**4 - 35228*h**3 - 1790945.\nAnswer: 116*h**3 - 105684*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/9, 0.1, 0 in decreasing order.\nAnswer: 1\/9, 0.1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*t + 53*t = 15. Suppose -39 = -t*r + 1. Let a(k) = 2*k - 27. Determine a(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m + 76. Let q = m + 64. Let k = 84 - q. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12168\/(-1248))\/(52\/96)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/48*2992\/264.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3333917\/106 + -31453. Find the common denominator of z and (41*10\/40)\/(5\/(-3)).\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1366 or -8189\/6?\nAnswer: -1366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 367681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 51*g**2 + 6. What is m(51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/4 - 4*s**3\/3 - s**2 + 4*s + 2. Let q be d(3). Let t(r) = -r**2 - 13*r - 15. Is t(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 5*w**2 - 5*w + 7. Let y be v(-6). What is the units digit of y + 0 + (6 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321738.5 + -201\nAnswer: 321537.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, l: 4, k: 2, u: 3}. What is prob of sequence zuzk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39103*z**3 + 2*z + 2*z - 4*z.\nAnswer: -39103*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -19 (b) -5\/2 (c) -0.3 (d) -5 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -355, 104634?\nAnswer: -355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1349094720 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 435*i**2 - 9*i - 14. Let v be p(-1). Which is greater: 432 or v?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 781 - 777. Solve a - 5*u + q = 0, 0*a + 5*u = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35879, -35895, -35921, -35957, -36003, -36059, -36125?\nAnswer: -36201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 32*s = 1392. Suppose -5*i - x + 467 = 0, -x - s = -5*i - 3*x. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*u - 135. Let n be 0 + 18\/(-5) + (-45)\/(-75). Let c(x) = -5*x - 5. What is the remainder when u is divided by c(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 16*l**3 + 112*l**2 + 156*l - 108 = 0.\nAnswer: -9\/2, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -78. Calculate the common denominator of l - (4 + (-185)\/45) and 2 + (-2)\/18 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 + 2261\/11. What is the common denominator of 0 + 693\/45*(-10)\/(-4) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - w = -9, -3*w - 2*w = 4*q - 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33a35 (base 11) to base 8.\nAnswer: 140014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12\/(-4)*(-10)\/(-6) + 817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1102111?\nAnswer: -1102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 0.2, 2\/11, -0.4.\nAnswer: -10, -4, -0.4, 2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -23 - 2)\/(-3*5\/15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 20*z + 1. Let t(i) = i**3 + 6*i**2 + 3*i. Let a be t(-5). Let v be d(a). What is the highest common factor of v and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119124 and 100.\nAnswer: 2978100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 90?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 7:40 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-2 + 3)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 47*t - 28 = -51*t, -4*l + 30 = 5*t. Differentiate -212*o + 11*o**2 + 204*o + 308 - l*o**2 with respect to o.\nAnswer: 12*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41491 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*h - 26*h - 2178*h**2 + 1 - 78*h as g + w*h + f*h**2 and give f.\nAnswer: -2178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8780 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*f**2 - 5370*f**6 + 9739*f**6 - 3984*f**6 - 6460*f**6 - 10*f wrt f.\nAnswer: -729000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27179)\/(25\/(-200) + (-14)\/16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9421*b = -9415*b + 48 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/6737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 175*b**2 + 6*b - 36. Let i(x) = -58*x**2 - 2*x + 11. Give -7*i(m) - 2*j(m).\nAnswer: 56*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 637*z - 483. Is 14 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 0 + 0)*(-2*y - 2 + 4 - 6) to the form n*y + r + t*y**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 741210 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*h - 35, -4*h + 3*t = -2*t - 45. Suppose 2*z - h*j = -z + 644, 5*j = -20. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 662*z + 97679. Give f(440).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31322001 (base 4) to base 11\nAnswer: 39883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 7, -11?\n\"Answer: -18*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105757 is divided by 11713?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18060 - 18061. Let n = -0.3 - -5.3. What is the closest to x in n, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 - 63\/45*-5. Which is the closest to r? (a) 0.3 (b) -3\/8 (c) -5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 11*v - 6. Let a be l(-10). Suppose -a*q + 121 = -39. Solve -25 = 3*n - q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from wtfweeggwegwgww?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.041686 and 0.1.\nAnswer: 0.141686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116649102 by -3.\nAnswer: 38883034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 426282.22 days?\nAnswer: 60897.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-8))\/5*-4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11. Which is the nearest to k? (a) -0.05 (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - ((9 - 3) + -16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89.39 + -91. What is n rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 3*q + 4 - 4 - 3*q**2 + 0*q**2 + 5*q**2 + (1 + 1 - 4)*(3 - 3 - 2*q**2) + (28 + 8*q - 28)*(-3 + 3 - 2*q).\nAnswer: -8*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.716 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.09, 400\/71.\nAnswer: 0.09, 2\/9, 400\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 29. Let c be q(-25). Let d be (-3 + -1 + c)\/(1*-1). Is d bigger than 24\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26883 and 26551443?\nAnswer: 79654329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - k + (-1 - 1 + 0)*(0 + 0 + k) - k + 0 + 0 - 2*k + k + 0*k - 132 - 967 + 7488617*k - 7488614*k.\nAnswer: -2*k - 1099","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*x**6 + 2*x**4 + 182*x**3 - 58*x**2 - 153.\nAnswer: -960*x**3 + 48*x + 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -14*k - 11. Let p be q(-2). Find the second derivative of 22*y**2 - p*y - 22*y**2 + y - y**3 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 22) + -11 + -25.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430601*p - 430610*p = -5*w + 180, -5*w - 60 = 3*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*i**3 + 2*c**3*i**2 - 2082*c**3*i + 4*c**2*i - 2*c - 1397*i**3 wrt i.\nAnswer: 12*c**3*i + 4*c**3 - 8382*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -64)\/(3 + -2). Let b(m) = -m**2 + 9*m - 29. Let k be b(12). Let n = j - k. Sort -4, 4, -3, n in descending order.\nAnswer: 4, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -302 + 23798 - 44\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*z + 0*z + z)*(55 + 167 - 57) - 2 + 2 + 2*z)*(7*z - 4*z + 4*z).\nAnswer: 1169*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 = z - 11, -2*s - 3*z = -4. Let k(h) = -h**2 + 7*h. Let t be k(6). What is the second derivative of 2*u**s + u**2 - t*u + 4*u wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a - 3*a)*(a - 15*a - 5*a) + 3*a**2 + 3*a**2 - 5*a**2.\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/5 + 21111*m**2 - 633510*m = 0.\nAnswer: -105585, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3350 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*989.7\nAnswer: -395.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 5*w, 3*q - 74*w = -149*w + 70*w - 95 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 - 11*i**2 + 16*i + 13. Let f be c(-3). Let o(r) = -16*r - 4. Let p(d) = 31*d + 9. Let b(z) = -7*o(z) - 3*p(z). Determine b(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 0*n**2 + 2*n**2)*(n**2 - n**3 - n**2) + 56*n**5 + 0 + 71*n**5 + 2 + 89*n**5.\nAnswer: 215*n**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/24*-1)\/((-3)\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*h - 163, 2*h = 28*m - 31*m + 472. What is the least common multiple of m and 4?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 - 8*z**4 - 7*z**4)*(2 - 5 + 0 + (3 + 0 - 2)*(1 + 0 - 8)).\nAnswer: 120*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, -3, 6, -4, 4 in descending order.\nAnswer: 6, 4, 0, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*y**4 + 5*y**3 - 6*y**3 + y**3 + 37*y**2 wrt y?\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - p**2 + 2*p + 1. Let w(t) = -26*t**3 - 11*t**2 + 4*t. Let y(b) = w(b) - 2*z(b). What is the third derivative of y(q) wrt q?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12\/19 - -79\/95. Sort s, -2\/13, -2\/7 in decreasing order.\nAnswer: s, -2\/13, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3968 + -2095. List the prime factors of y.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19022 = -31*g + 8630. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3828.5 and 1368.\nAnswer: 5196.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 16*t. Let c(u) = -33*u. Calculate -2*c(o) - 5*j(o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/42*(-1 + 5). Let t be 3\/36*2\/(-2). Let r = 7\/12 + t. What is the closest to 1\/2 in -5, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*7*(-6)\/(-72)*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*o - 4*o + 2*o)*(0 - 2 + 4)*(-3 + 5 - 3).\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - -29. What is the remainder when t is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -8.\nAnswer: -8, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -183527 (base 9) in base 3?\nAnswer: -12210120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15186*-0.93.\nAnswer: -14122.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 4 = -4*p - 5*f, 2 = f. Suppose 3*i = -2*r + 9, -2*i - 1 = -2*r + 3. Factor p*c**2 + 2\/9*c + 0 + 16\/3*c**r + 32\/9*c**4.\nAnswer: 2*c*(c + 1)*(4*c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 3, e: 1, p: 1, t: 1, n: 5}. Give prob of sequence tphn.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 take away -15600828?\nAnswer: 15600946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.02798647\nAnswer: 0.008395941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8246?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(832) + 2 + sqrt(832))**2*3 + (((sqrt(832) + -1 - sqrt(832))*3)**2 - sqrt(832)) + sqrt(832)).\nAnswer: 192*sqrt(13) + 10005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11361719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 287\/3. Solve s - 10\/3*k + 4\/3*k**2 = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20448 + 20899. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -474 + 477. Suppose -1 - 11 = -4*v. Find the second derivative of -19*n - 8*n**v - 3*n**3 - 2*n**r wrt n.\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11692 (base 11) to base 15\nAnswer: 4e9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/3339 and 9\/184387.\nAnswer: 1659483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/270*-3*(-32)\/((-384)\/90)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x**3 + 3*x**3 - 8*x**3 + 20*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-1)\/(3\/(-2090))*((-11235)\/(-175) + -57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 17*w + 36. Let d be c(-6). Solve 5*v - d = l, 0 = 4*l - 0*l - v - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccem?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 o when three letters picked without replacement from {o: 2, n: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b94 - 170c?\nAnswer: -42a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 8*m**2 + 8*m + 9. Let u be x(-7). What is the third derivative of 2*i**4 + u*i**2 - 3*i + 3*i + 0*i wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o + 12. Let f(m) = 1863*m**2 - 5*m - 60. Determine f(l) + 5*r(l).\nAnswer: 1858*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1444.81 micrometers to nanometers.\nAnswer: 1444810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311792*-8.4.\nAnswer: -2619052.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8706087*3\nAnswer: -26118261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = -3, -737 = -3*z - 5*w. Let q = z - 249. What is the second biggest value in q, 0, -0.5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -341683?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2 - 4.19. Round m to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 13*t**2 - 6*t - 69. Calculate the remainder when 151 is divided by p(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9000717 and 12771.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (379\/(-4) + 0)\/((-3)\/12). Suppose 0 = -6*m + 5*m + x. Suppose m = 4*v - s, 0 = 2*v - 5*v - 4*s + 308. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-15)*37 - 2\/(-8) and 151\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81269921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133453301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1296 and -87\/88.\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 - -23030031?\nAnswer: 23030145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 523186 + 2*z**2 - 545307.\nAnswer: 2*z**2 - 22121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 1\/2)*4. Let d = -2 - l. Suppose -v + 3*n + 2 = d, n = v - n - 4. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0843 - 0.2843. What is the closest to 0.4 in -5, f, 0.14, -2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 18*s + 26*s - 9*s + 0.\nAnswer: -s - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 - 19*x + 5. Let b(f) be the third derivative of f**5\/10 + 7*f**4\/6 - 4*f**3\/3 - 4674*f**2. What is -5*b(y) - 8*u(y)?\nAnswer: 2*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 - (-14 + 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 - 1100100?\nAnswer: -110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:38 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-9)*12\/2. Suppose 3*n + 12 = -4*s - n, -n = 2*s + 3. Let b = s - 2. Put l, -3, b in decreasing order.\nAnswer: l, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 + -0.17. Let l = 0.4 + n. Let k = -6767\/7 + 967. Which is the nearest to -2\/13? (a) l (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-10))\/(6\/(-20)). Let w(n) = -n**3 + n**2 + n. Let h be w(0). Suppose h = -0*a - 2*a + 8. Solve 5 = -y*p + r + 4, -a*p - 5*r = 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 3, u: 2, e: 1, a: 9}. Give prob of picking 1 u, 2 a, and 1 c.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*s**3 + 134*s + 1313*s**3 - 135*s.\nAnswer: 1523*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 13.15\nAnswer: -12.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85919 + 89759 = -60*y for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:44 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 166, 130, 94, 58?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(91)\/(sqrt(28)\/(-2*sqrt(4))) - sqrt(117)\/((sqrt(1089) - -2*sqrt(1089) - sqrt(1089)) + sqrt(1089)))**2 + -2.\nAnswer: 59446\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 8:40 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3472342*t**3 + 621*t**2 + 9*t + 29 wrt t.\nAnswer: -20834052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -52*s**2. Let c(f) be the first derivative of -f**4\/12 - 84*f + 15. Let q(r) be the first derivative of c(r). Determine d(q(z)).\nAnswer: -52*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 2. Let d be ((-8)\/10)\/((-1)\/(-5)). Let w(c) = -43*c - 1. Let u(n) = -16*n. Let t(i) = -8*u(i) + 3*w(i). Give d*t(j) + 5*x(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11594 + 11595. Sort s, -46, 0, -2 in decreasing order.\nAnswer: s, 0, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-48 - -15) - 9\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42250 and 7774.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9873263, -19746541, -29619831, -39493139, -49366471, -59239833?\nAnswer: -69113231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 533 or 49161\/92?\nAnswer: 49161\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 12) to base 3\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 8 + 2. Let n(o) = o**2 - 2*o + 1. Let s be n(q). Suppose t + 132 = s*t. What is the greatest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1342 and -0.1?\nAnswer: 0.01342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2688\/(-1376))\/21)\/4.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 232321 (base 4) to base 14\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*g**3 + 37*g**3 - 10*g**3.\nAnswer: 81*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2448*b*x - 3*b + 378742*x with respect to b.\nAnswer: -2448*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*t + 22 - 29 = 0, 9 = q + t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2449 times 1404.8\nAnswer: 344.03552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 0*t - 2*t + 353*t**3.\nAnswer: 353*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/31, 2?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/1400)\/((-28)\/(-35))*(-80)\/(-224)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20622 (base 9) to base 11.\nAnswer: a26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Let r(c) = 12*c - 2. Determine 4*f(s) + r(s).\nAnswer: 8*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121.9027 + 122. Round x to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8507, -16763, -24577, -31949, -38879, -45367?\nAnswer: -51413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**(-9))\/v))\/((v*v\/((v**(1\/9)*v*v)\/v)*v)\/v))**(-1\/9) assuming v is positive.\nAnswer: v**(80\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13890, -13905, -13946, -14025, -14154, -14345, -14610?\n\"Answer: -2*k**3 - k**2 + 2*k - 13889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111100 (base 2) to base 16.\nAnswer: fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 6*d**5\/13 - 5266*d**4\/13 - 3512692*d**3\/13 - 453623544*d**2\/13 + 768174512*d\/13 + 23563904 = 0.\nAnswer: -238, -1\/3, 2, 1352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-5) - (-3)\/15. Suppose 0 - 2 = -o*b. Let p(f) = f**3 - 3*f**2 - 4*f + 1. Calculate the lowest common multiple of p(4) and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347.075mm in micrometers?\nAnswer: 1347075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1408 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 693265 and 1.1?\nAnswer: 762591.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -1\/5 (c) 2\/21 (d) 4 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-5)\/(-9 - -8). Suppose -2*m + 1 + 10 = -f, -5*f + 2*m = 15. Put -1\/8, y, 0.5, f in descending order.\nAnswer: y, 0.5, -1\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374906 to the power of 1\/2, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p. Let d(j) = 6*j. Let r(x) = -2*d(x) + 6*m(x). Let u(o) = o**2 - 3*o**2 - o + o. Determine r(u(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -410 - -57. Let v = -171 - d. What are the prime factors of v?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*t + 6*t. Let s = t - 25. Calculate the lowest common multiple of 2 and 1 - (2 - 8\/s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4 + (2 - 1 - 3)*(-3 + 3 + 2) + 5 + 2 - 2)*(-2 - 4*v**3 - 34*v**2 + v**3 - 136*v**2).\nAnswer: -9*v**3 - 510*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -442, -662?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*u, -2*h - 2*u + 3*u = -33. Let n = h + -13. Suppose 0 = -w - n + 9. Calculate the greatest common factor of 64 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5396 + -3812. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -284*q + 322*q + 152 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2, 1, 212, 507.\nAnswer: -2, 1, 28, 212, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:10 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 + 3*n**2 + 3*n + 2. Let y be m(-2). Let q(w) = -w - 8. Let i be q(y). Solve -4*s + j + 15 = i, -5*s + 27 = -s - 5*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 1) + -9 - -1. Which is the second smallest value? (a) 1\/2 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n - 5. Let q(r) be the second derivative of 2*r**3\/3 + 3*r**2 - 427*r. Let t be (-4)\/14 - 57\/21. Calculate t*s(b) - 2*q(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4386*p. Let s(y) = -y. Determine n(s(t)).\nAnswer: 4386*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05788752358 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*x**2 - 10 + 8*x**2 - 3*x**3 - 5*x**3 wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*f + 15, -j + 19 = 4*j + 4*f. Solve -7*c**3 + 2*c**4 - 9*c**2 - 2*c**3 + j*c**2 - 5*c**4 = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 - (4 + (-6)\/2). Let v be 2 + (-48)\/22 + (-24)\/c. Let b = 6\/11 + 14\/55. What is the biggest value in b, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69768 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 i = 7641 + -1004. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 7 (b) -0.2 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + b + 18*b + 3*h = -541 - 413, -3*b + 4*h - 103 = 0 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/20 + 1\/5. Let h = 11 - 23\/2. What is the third biggest value in t, h, 3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1287 + 1382 - (3 + 35).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 1 + 23. Let f be 4\/10 - k\/(-15). Suppose f*i - 23 = -i. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 2*w - 10, -2*g - 3749*w + 3750*w = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3\/11 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2967 - -11869\/4. Factor 1\/8*l + n - 1\/8*l**2.\nAnswer: -(l - 2)*(l + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10606 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 730, 1708, 2686?\n\"Answer: 978*n - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by ((-4)\/(20\/35))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.007+1.158\nAnswer: 1.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1, 2.4, -4, 3, -0.5 in increasing order.\nAnswer: -4, -0.5, 1, 2.4, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunnnnnuuxmn. What is prob of picking 1 m and 1 n?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by 2514\nAnswer: 31\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/9092159? (a) -2\/5 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 9*t**2 + 15*t + 4. Let i be l(7). Calculate the highest common divisor of i and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35571*l - 35571*l - 46*l**2.\nAnswer: -46*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 - -79. Let w be -2 - ((-4)\/5 + -1). Are w and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f + 2*q - 16, -4*f - q = -12. Let w = -430\/3 + 141. Let a = f + w. What is the nearest to a in 4, -2\/9, -1\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -1 (c) -2\/13 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 5*b. Let y(l) = 3*l**3 + 6*l. Let r(p) = -4*p**3 - 2*p**2 - p + 1. Let j be r(-1). Suppose 11 = -3*x - j. What is x*y(q) - 6*a(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3*m + 42. What is the lowest common multiple of m and 132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 22*h + 31. Let k(u) = 3*u - 21. Let r be k(7). Suppose r*d + 8 = 2*d. Calculate the remainder when b(22) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - 3) + 27\/45*-5. Solve 5*a + 2*r = 0, -3*a + 4*r + 11 = o*r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 236, 315, 454, 659, 936, 1291?\n\"Answer: d**3 + 24*d**2 + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 327? (a) 8 (b) 28 (c) -7 (d) -1\/3 (e) 2\/3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + -210?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 5*k**2 + k + 8. Let t be i(-5). Let c be -3 - (-7 - t) - 1. Solve 3 - c = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.7 - -18. Let j = -0.116 + -0.884. Which is the biggest value? (a) -0.26 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 2*q)*(0 + 2 - 4) - 3*q + 6*q + 0*q - 5*q + q + 2*q + (2*q + 2*q + 5*q)*(-11 - 26 + 11).\nAnswer: -235*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 12*p**2 - p - 8. What are the prime factors of a(-4)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 = 11. Solve 13 + 7 = c*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 + (-189)\/(-18). Let a be (-15)\/(-5)*1 + 28. Let b = a - 28. Solve -18 = 3*i - b*v, -4*v = v - f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979618042.\nAnswer: 2, 13, 31, 1215407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (56\/6)\/2*(-39)\/(-2).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, -49 in ascending order.\nAnswer: -49, -22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672 = -46*t - 52*t + 2*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2 - 3)\/(2\/(-2)))\/(-1). Let v(z) = z**3 + z. Let j(u) = -3*u**3 - 5*u**2 - 4*u - 2. Let f(h) = t*j(h) - 4*v(h). Calculate f(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208976601 to the power of 1\/2, to the nearest integer?\nAnswer: 56648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/30*4\/(-20)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(48\/44))\/(1\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4863 = s - 4*s. Let u be ((-315)\/(-2))\/(-10 + 2172\/216). Suppose 5*v + s + 1220 = 4*x, -v + u = 4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2\/7 - 510718056*g\/7 + 32604116590552392\/7 = 0.\nAnswer: 127679514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 9 + (24 - 9 - 27 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:42 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 262222661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 495\/18*(-60)\/75 - (-3 - -3)\/(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 2*g + 1. Let q be o(2). Is 11 a factor of (3\/((-6)\/(-44)))\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.932496 nanometers in centimeters?\nAnswer: 0.0000003932496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13 = 5*o, 25 = -3*i + 8*i + 5*o. Suppose r - 5*j = 37 + 7, 0 = -2*r - i*j + 62. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -233, -207, -161, -89, 15?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*x - 3\/2*x**2 - 3.\nAnswer: -3*(x + 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332010233 (base 4) to base 9.\nAnswer: 426685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 33?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144162323920*p - 144162323920*p - 27*p**3.\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1027858.5 minutes to hours.\nAnswer: 17130.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + 118. Let o = -10 - -16. Let c = m - o. What is the remainder when 37 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by 45.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 3c637?\nAnswer: 3c63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218920709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 + 64498*v\/5 - 1039998001\/5.\nAnswer: -(v - 32249)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 30.095 (c) 17 (d) 0 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q - k + 12, 3*q = 5*k + 32. Suppose q*l - 30 = 2*s, 5*s - s = -l + 30. Does 23 divide ((-920)\/(-25))\/(4\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-13 - (-13 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.015478 and 135?\nAnswer: 134.984522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 90. Let w be h(0). Suppose -11*x + w = -42. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(1*sqrt(8))*6)\/(sqrt(15)\/(1*sqrt(405))))**2.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2638 * 66\nAnswer: -174108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 7*q**2 + 8*q - 10. Let z be i(6). Put -3, z, 5 in decreasing order.\nAnswer: 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/9)\/((-1)\/(15\/(-50))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**3 + 25*g**3 - 55*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180 - 172. Suppose -y = 4*w - 12. Solve -t + 4*t + w = -5*d, -4*t - 4*d - 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-10)*(-18)\/(432\/40). Is 14\/751 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7661168089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 19 = 23. Let b(p) = 0*p - k*p + 6 + 3*p + p**2. Let t be (1 + -2 - 9)*(-1 + 0). Calculate b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (-702)\/26 - -31.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grrg when four letters picked without replacement from rrrrrrrrrrgrrrrgrr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l + 9 = 0. Let z = -108 + 104. Calculate the least common multiple of l + -2 + (-2 - z) and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15870?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 7:48 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 1 + sqrt(128) - (-1 + sqrt(128) + -1)) - -2*-5*(sqrt(128) - (1 + sqrt(128) + sqrt(128) + 1 + sqrt(128))))**2*5.\nAnswer: 32000*sqrt(2) + 258000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 8 = 2*j - 0*j, 5*j = 3*m + 20. Let c(z) = 10*z - 61. What is the least common multiple of j and c(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d + 2058 = 65*d. Suppose 3*b - 442 - d = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -0.2 (c) 1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(7*8\/(-84) - (-17530)\/15) is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -14, -1070 in descending order.\nAnswer: 1, -5, -14, -1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4795492 and 9590984?\nAnswer: 9590984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 6:04 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 7*s**2 + 8*s + 8. Let m be 56\/(-9) - 6\/(-27). Let p be d(m). Let t = p - -17. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 4*t**4 - t**4 + (-1 + 2 - 3*t**2 + 2*t**2)*(-476*t**2 + 1071*t**2 + 1695*t**2).\nAnswer: -2288*t**4 + 2290*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16*y**2 + 1398*y + 15538. Calculate q(-13).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.03 to 0 dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3402) + -2*(sqrt(3402) + (2*sqrt(3402) - sqrt(3402) - sqrt(3402))) - sqrt(3402))\/(sqrt(672)\/sqrt(7) - (sqrt(96)\/sqrt(2))\/sqrt(8))*4.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/10 - 146\/(-10). Let v = 34 - y. Let u = v - 9. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 40 (b) 4\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8fe076 (base 16) to base 7.\nAnswer: -143101055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/10164 and 25\/4356.\nAnswer: 30492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) 637 (c) 5 (d) -2\/9 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -104a59 (base 12) to base 7\nAnswer: -2121003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*p**3*r**2*v**3 - 9296*p**3*v - 39*p**2*r*v**2 - p*r**2 + 1112*p*r*v**3 + 3*p*r*v wrt p.\nAnswer: -156*r**2*v**3 - 55776*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 5*n**3\/6 - 4*n**2 + n. Let l(u) be the first derivative of 1 - u + 1\/2*u**2. Determine -6*l(j) + p(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.3881414 - 1.1884394. Let p = 0.024 + -11.224. Let h = p + j. Round h to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4094.3 + 4094. Which is the smallest value? (a) 4 (b) -356 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/34*(-6)\/9*229\/20152?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328831749?\nAnswer: 3, 36536861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) + 0 - sqrt(68))*-2 + 1*(0 + sqrt(68)*-2)**2)*5.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*c)*(c + 4*c**2 + 4*c - 22*c**2) + (-2*c**2 + 3*c**2 + 0*c**2)*(3*c - c - 4*c).\nAnswer: 34*c**3 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 16*t**2 - 18*t - 33. What is m(17)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 150.41 and 3176880508?\nAnswer: 3176880357.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (-21)\/(-6))\/(22\/(-8)). Let h = 27 + -30. Let d be h\/2 - 2 - -3. What is the closest to 1\/3 in d, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2214*-1233\nAnswer: -2729862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 279368861*z**5 - 11499*z**2 + z + 481 wrt z?\nAnswer: 16762131660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109315 and 470.\nAnswer: 10275610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 19 = -h, 2155 = -3*h + 3*f + 2134 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2*4*25\/((-200)\/6))\/(186\/4)\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 950136.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*d - 17, 18 = -2*n + 5*d - 0*d. List the prime factors of (1\/3)\/(n + (-202)\/204).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/3 + 6081094*s**3\/9 - 2027048*s**2\/9 - 16216264*s\/9 - 8108128\/9 = 0. Calculate s.\nAnswer: -1013516, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v + 1. Let w be l(-2). Let u be (-2)\/5 - 27\/w. Suppose -5 + 55 = u*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.707 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(1494\/(-6)))\/3)\/(6\/(-162)*9).\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, 6, -4, 1.242 in increasing order.\nAnswer: -181, -4, 1.242, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137914, 275564, 413214?\nAnswer: 550864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-75)\/(-10))*957. Suppose u = -5*j - b + 2174, u = -j + 1556. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, p: 10}. What is prob of sequence hh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-1 + 3782 - 3). Let c = -75601\/20 - i. Calculate the common denominator of 69\/2 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - -28. Let m = l - 59. Is m\/(-54)*237*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) -0.5 (c) 1\/3 (d) 13118 (e) -0.04 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116636 and 17056?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 4*d**2 - 6*d + 5. Let i be c(5). Let x = i + 13. Calculate the remainder when 49 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 61 + 2*n - 1\/4*n**4 + 3*n**2 + 2*n**3. Give w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)*m**(-1\/6))**(-5)*(m**1)**(-25)*(m**(-1\/2))**(-27) assuming m is positive.\nAnswer: m**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + (6 - 22).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -56\/11*q + 6*q**3 - 24\/11 + 38\/11*q**2 - 10\/11*q**5 - 14\/11*q**4 = 0.\nAnswer: -3, -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r + 80. Let o be u(6). Which is greater: o or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76505 not equal to 76507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2\/23 (c) -2\/3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-five quarters of a kilogram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -462? (a) 3\/11 (b) -1\/346 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**2 - 8*f**2 - 8*f**3 - 26*f**3 - f**3 + f**3 + 2*f**3 + (-3*f + f + f)*(-1 + 1 + 3*f**2).\nAnswer: -35*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484386383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**3\/3 - z**2\/2 + z. Let c be h(-2). Suppose -5*l = -2*l - 72. What is the highest common divisor of c and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21997800 and 73326?\nAnswer: 21997800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 147\/490*(-15)\/9. What is the second biggest value in -2.7, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 t when four letters picked without replacement from {t: 4, r: 4, c: 7}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.29 and 64.\nAnswer: -18.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0. Let l = -2472.6 - -2473. Sort l, -2, 0.1, v in descending order.\nAnswer: l, 0.1, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + 15 + (6 - (-5 - -28)) + -20.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 66*a - 966. Determine w(23).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -700684*q**5 - 5*q**2 + 2951*q + 1?\nAnswer: -42041040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -0.4, 3, -1, 363\/4 in descending order.\nAnswer: 363\/4, 3, 0, -0.4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4374)\/8764 + 2\/4. Let p = x + -67943\/24101. Calculate the common denominator of p and 3\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 11:46 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 45 (b) 2 (c) -0.1 (d) 1\/4 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m + 14. Let t be y(6). Let n = t - -24. Let g = n - -19. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1024339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100111100010000111 + 100?\nAnswer: -111100111100010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12136671?\nAnswer: 3, 281, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from qhrtrqmrtqrrhq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -0.26, 3 in decreasing order.\nAnswer: 3, -0.26, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 142\/1194559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9760144 centimeters?\nAnswer: 9.760144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/15 + 2*t**2 + 17*t. Let f(p) = -16*p. Determine f(b(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -26*s**2 - 24*s - 151. Let u(p) = -9*p**2 - 9*p - 50. Determine -3*r(z) + 8*u(z).\nAnswer: 6*z**2 + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/((-67392)\/1134)*(-88)\/(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29707\/70 + -4731\/10. Let m = v + 1249\/14. What is the common denominator of m and (-227)\/24 - (-5)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5\/11 - 56*y**4\/11 + 182*y**3\/11 + 1104*y**2\/11 = 0.\nAnswer: -3, 0, 8, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 17*y - 9. Let a be k(18). Solve -a = -s - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1558, 3226, 4894?\nAnswer: 6562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:58 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. Let p be -2*((-9)\/6 + -1). Solve 0 = f*t + 2*j - 12, 0*t - p*j = -2*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18, 11, 16, 33, 62, 103, 156?\n\"Answer: 6*i**2 - 25*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, d: 6}. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1224 = -37*w. Calculate the remainder when 94 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 429 = a, -5*f - 3*a - a + 531 = 0. Suppose -191 = -n - f. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iugiogigmiu. Give prob of picking 1 i, 1 m, and 2 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1474*j*v*x**2 + j*v - 31*j + v*x**2 + 254*v - 202*x**4 - 6 wrt x.\nAnswer: -2948*j*v*x + 2*v*x - 808*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3. Suppose v = 4*j - 0*j. Is 4*(23\/4 - j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/11 - 5*(-5543)\/53130.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 72 = 9*s. Let c be (-695658381)\/s + (-2)\/12. Let a = -71347688 - c. What is a rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - (-37 - (-4 + 37 - 80)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 24*m**2 - 3*m. Let z be o(-3). Suppose -3*p + 210 = -z. Suppose -3*a - 2*a = -j - p, -a = 3*j - 45. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28799 and 4253891.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 + 31*f**2 + 44*f + 76. Let q be o(-9). Solve 0 = -2*w - 3*x, 0*w + 3*x = q*w - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1432114, 1432125, 1432136?\nAnswer: 1432147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -5*p + 4*u, 0 = -17*p - 6*u - 57 - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*((-1)\/2)\/1. Let w = 9 + -3. Calculate the greatest common divisor of w and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = l - 2*l, -2*l + m + 9 = 0. Suppose -l*u = 3*u - 224. Let o be 12\/(-2)*(u\/(-8))\/1. Solve 5*h - 4 = o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(85) - (sqrt(85) + sqrt(85) + (-1*sqrt(85) - sqrt(85))*4)) + (sqrt(85) + (-2*sqrt(85) - sqrt(85)))*3))\/(3*sqrt(180)*-2*4) + -4.\nAnswer: -4 - sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/4*12\/(-95). Let u = 8\/19 - n. Sort -2, u, 1 in descending order.\nAnswer: 1, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16841160 to the nearest one hundred thousand.\nAnswer: 16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 37405677.\nAnswer: -2\/37405677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1323039 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 40. Let l = -36 + n. Suppose 5*q - 5*h = 125, 0 = -l*h + 4*h + 20. Solve -4*x = -4*w - 16, 3*x = -0*w - 5*w + q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.2 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1+-60857661033.1\nAnswer: -60857661034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1\/4 (c) 4 (d) -6 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from lllllllmm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/6)\/(2\/(-9)). Let a = b - -22. Let d = 1 + a. Let c(j) = 3*j + 1. What is c(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1854)\/(-8) - (-8)\/32. List the prime factors of (-5 + 2)*c\/(-6).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 4, 3 in decreasing order.\nAnswer: 89, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1402714.3 rounded to the nearest 100?\nAnswer: -1402700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 3. Let p(t) = 2*t + 3. Calculate 4*p(d) - 3*y(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knkknkkcc. What is prob of sequence cckk?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + q + 1. Let g(j) = 9*j**2 - 6*j + 25. What is g(i) + 6*p(i)?\nAnswer: -3*i**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 145?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 705*p**3 - 169*p**2 + 170*p + 1. Give t(1).\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(72)*1 + -4 - sqrt(72)) + (sqrt(72) + 1 + sqrt(72) + 0 + sqrt(72) + sqrt(72))*6 + 3 + 4.\nAnswer: 33 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from ssgdsscdsgdgmnsdsc.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-705)\/(-12) + (-2)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -17. What is the least common multiple of 16 and v?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/1566 and -79\/1566.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 - 279. Find the third derivative of 22 - 6*m**5 + 9*m**5 - 5*m**3 + 9*m**2 - 10*m**i + 21*m**3 wrt m.\nAnswer: 180*m**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1437 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6*g = 3*g + 44, -k + 5*g = -12. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 16*g + 5. Let b be o(0). Solve 17*c - 12*c = -b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8158, -8129, -8102, -8077, -8054, -8033, -8014?\nAnswer: -7997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -3, -2\/13, 79, 1\/16?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -3*r**4\/8 + 46*r**3\/3 - 3*r**2 + 2*r. Let i be v(10). Solve 0*m + 2*m = 4*h + 6, -i*h + 4*m = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 12 (c) 0.3 (d) 0.4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 18. Let l be r(2). Which is bigger: 28 or l?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 43250768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76.97 + -72.97. Let n = -0.4 - -0.6. What is the closest to 0 in x, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*f*l**2 - 4404*f*l + 2*l**2 wrt l.\nAnswer: -276*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 + 89. Solve 2*p = -x + 10, x = 4*p + u*x - 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 2\/5, 512, -2\/19, -0.3, -2\/13?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 871*w - 4.\nAnswer: 871*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872136.\nAnswer: 2, 3, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 20. Let p = 30 + -52. Let r be v(p). Suppose -x - 3*x + 588 = -r*k, -3*x - 5*k = -467. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 2*z**2 - 16*z + 21. Let b be c(-5). Calculate the highest common factor of b and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 459.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000781395 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**(-1\/2))\/h))**36*h\/h**(3\/8)*h\/(h\/(h**(-10)\/h)) assuming h is positive.\nAnswer: h**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.174296 times -0.2\nAnswer: -0.0348592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*o*s**3 - 150701*o*s**2 - 4310320*o*s wrt s.\nAnswer: 42*o*s - 301402*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*v - 11 = -40, 3*x + 5*v - 30 = 0. Let a = x - 3. Suppose 6*m - 483 = a*m + p, -5*p = 3*m - 345. Is 30 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4063.901 millilitres?\nAnswer: 4.063901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12174, -1, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 34577, -3, 2\/3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = -m, -4*m + 4261 = 3*k. Let s be (-8560)\/k - (-7 + 1). Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 15*o**2 - 6*o - 14. Let y(p) = -p**2 + p + 4. Determine g(t) + 4*y(t).\nAnswer: 11*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -247636441.5 rounded to the nearest 10000?\nAnswer: -247640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-18))\/((-2)\/6 + 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**6\/720 - h**5\/72 + 466*h**2 - 2. Find b such that j(b) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -154. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47258073\/8 < 5907259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*g = 3*v + 9, 5*v - 15 = -g. Let h = -0.53 + 0.03. Let f = -0.8 - h. Put f, 2\/5, v in increasing order.\nAnswer: f, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*s + 1. Factor z - 2*z - z**2 + s + 0*z.\nAnswer: -(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 487316 and 70180?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/22146508 or 0?\nAnswer: -1\/22146508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldqd when four letters picked without replacement from dqlqqddql.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -39. Let t be -4 - 53\/(-6) - 3\/f. Solve v - 6*v + t*p + 10 = 0, 2*v - 9 = -3*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 2*j + 1, 3*t = -3*j + 6. Let l be -6*(t + 1)\/(-4). Which is the biggest value? (a) 3\/2 (b) 2\/17 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 18. Let z(v) = -204*v**3 + v + 1. What is the units digit of z(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - p**2 - 3*p + 2. Let f be (1\/((-2)\/(-3)))\/((-3)\/4). Let t be w(f). Solve -r = -6*r + t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.3 (c) 0.1 (d) 3\/7 (e) 130059\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78985 + k**2 - 39493 - 39492.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n, 0 = -3*z - 3*n + 11 + 10. Suppose 0*l = 3*l - 2*a + z, 3*a = 15. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - 37 - (-110 + 123).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b + 2. Is 14 a factor of t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 - 20*w**4 - 72*w**3 + 288*w**2.\nAnswer: 4*w**2*(w - 6)*(w - 3)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246033533.\nAnswer: 863, 285091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68 (b) -0.3 (c) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4305 and 10080?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2316 - 2369) + (1 - -42)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -1.935.\nAnswer: -1.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252 is divided by 312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400620 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/21 + 1\/7. Which is the nearest to -7? (a) m (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-540))\/((-2)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -17. Let l = n + 11. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -24. Suppose -17*t + 3*t = t. Solve -4*v + t*b = -5*b - j, -10 = 2*v + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0509 - -0.08572.\nAnswer: 0.13662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/2, 2\/9, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = p + 2. Let z(j) = -j**2 - 16*j - 37. Let u be (19 - 14) + -16 + 3. What is the lowest common multiple of p and z(u)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9750*v - 1023750. What is i(105)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 224, 178, 132?\n\"Answer: -46*r + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 77. What is the remainder when (-2 - (-10)\/6)*-93 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 23\/21)*3. Let b = 2\/27 - -23\/54. What is the closest to s in 4, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 0*a + 0*a + 25*a**3 + 84 + 11*a**3.\nAnswer: 36*a**3 - 5*a**2 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*m + g - 795, 636 = 4*m - 2*g. Let l = m - 153. Let d be -116*3\/(-90) - l\/(-45). Solve 5*u + 32 = d*y, 4*y = u + 16 - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*n - 8*n. Which is the nearest to -1? (a) -0.2 (b) 1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 13158376?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 19*t = -11*t + 98400. What are the prime factors of t?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3566550 divided by 195\nAnswer: -18290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 7) to base 15\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -18*t**2. Suppose 6*v - 2*v = -3*g + 20, -4*v + 28 = 5*g. Suppose g*h = 3*h + 45. Let m(o) = h + o - 93 + 48. Calculate m(r(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 87, 173, 257, 339, 419?\n\"Answer: -i**2 + 89*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 3 + (-32 - (6 - -21)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (-36 - -13) + 58.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b + 5 + 0*b - 6 - 13. Let j be s(-4). Suppose q = -3*q + 8. What is the greatest common divisor of j and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 257*0.222\nAnswer: 57.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.9 + -6.1. Let z = -24.1 - k. What is the biggest value in z, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 40, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*n - 18*n + 5*u - 12, 10 = 5*n + u. Solve -n*o - 8 = -8*z + 13*z, -3*o - 5*z - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/5951913 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -b96 (base 13) to base 6\nAnswer: -13102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -15039.\nAnswer: 2\/15039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-44)\/10 + 4)*-30. Suppose y = -y + p. Let o be ((-36)\/(-24))\/(y\/88). Solve -5*w - 7 = -o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**15)\/(r*r**12))\/((r\/((r**(-4)*r)\/r)*r)\/r*r*r\/(r\/(r**(-1)*r))*r*r))**(2\/39) assuming r is positive.\nAnswer: r**(-10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*k - 5*t, -4*k + t - 24 = 3*t. Let s be (5\/10)\/((-2)\/k). Find o, given that -3*o**s + 7 - 3*o - 7 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2778261835.\nAnswer: 5, 151, 3679817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.22 - 0.004. Round y to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360076?\nAnswer: 2, 90019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 + 8*w - 45)*(3*w + 1 - 1 + (5*w - 25*w + 3*w)*(2 - 4 - 5)) in the form d*w**2 + g + k*w and give d.\nAnswer: 976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6. Let j = g - 0.5. Which is the closest to -1? (a) j (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20251008 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96751 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36439505755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 2\/13 (c) -37 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = 7*h. Let y = h - -1. Suppose -3 = f, y*c + c - 3*f = 20. Calculate the remainder when 20 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**3*o**2 + 3*a**3*o + 3*a**2*s**2 + 3*a*o*s**2 + 3*o**2*s**2 wrt o?\nAnswer: 12*a**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 - -5.3. Let w = 7.6 - u. Which is the third smallest value? (a) 0.3 (b) 1\/13 (c) w (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 - -95. Suppose -2*m + 15 = m - q*a, 0 = -5*a. Calculate the remainder when 1\/(2*(-1)\/(-38)) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 378*r**2 + 137*r - 286. Calculate m(2).\nAnswer: 1500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 32 - 14 - 19)*(0*x + 0*x - 2*x + (-2 + 1 + 2)*(0*x - 4*x + 2*x)) as s + v*x**2 + t*x and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1171 + -0.11698502. Round l to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.075803 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6072768 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214\/(-350) + (-8)\/(-14) + 0.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1107 + -1106.975. Let r = -52.025 - -54. Let g = o + r. Is -1 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (113 - 113) + (0 - (0 + 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*t**2 - 227*t**2 + 117*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62977?\nAnswer: 71, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.19, 2\/3, 8, 1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.1, -5, 49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647960403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 27438?\nAnswer: 5\/27438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.84 - -2.63. Round g to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87989*p - 87678*p - 6055 + 15696 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 46 = -37 - 25 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 103.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*z**3 + 2*g*z**2 - 75*g + 158587*z**4 - 459 wrt z?\nAnswer: -6*g + 3806088*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3 + 0*i + 8*i - 6*i - 3*i. Give h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -347 + 350. Let p(m) = 0*m - 2*m**2 + 2*m - m**3 + 2*m**3. Calculate p(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0*s - 2*s**2 - 2*s + 8*s**2 - 4. Let q be i(4). Suppose -2*z + 4*f = -16, f = -2*z - 3*z + q. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15367 is divided by 247?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 times 0.0077?\nAnswer: 0.9317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5649*p**2 - 105*p - 236. Let m be c(-23). What is m rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuggguguuguuuuguug. What is prob of picking 2 g and 1 u?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007812133 to six dps.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3326293 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 7878, 7866, 7842, 7800, 7734?\nAnswer: 7638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -52, -131, -242, -385?\n\"Answer: -16*p**2 + p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484 and 37147?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 0 + -4 + 3 + 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-7) + (-15)\/((-45)\/12).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 + 206. Suppose 294 = 3*u + 4*q, -q = 4*u - 4*q - 367. What is the remainder when u is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f**2 + 2*f**2)*(-4*f + 2*f + f) + 48 - 48 - 73*f**3.\nAnswer: -74*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 319.2493 litres?\nAnswer: 319249.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 24 = 3*q. Let c(j) = -j**3 - 3*j**2 - 6*j - 8. Let y be c(q). Solve f + y*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 6:09 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - 135804?\nAnswer: -135805.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkksaskaa. What is prob of sequence kg?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/83 (b) 0 (c) 0.4 (d) -15700\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 11*o**2 - 5*o - 5. Let v be n(10). Let f = 8 - v. What is the remainder when f is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44.93 + -0.07. Let l = n - -46.1. Let j = -0.8 + l. Which is the third biggest value? (a) 0.2 (b) 7 (c) 0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56932 times 0.5\nAnswer: -28466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31211\/21 + -1487. Let f = a - -40\/21. Find k such that -f - 2\/7*k**2 - 8\/7*k = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 69 - 159 = -35*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 4340368*u + 1177424648464.\nAnswer: 4*(u - 542546)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 6*u - u - 10 = 0, 8248 - 8267 = -3*k - u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 910.2882 - -0.1\nAnswer: 910.3882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2232*a - 335127. Determine m(-150).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -61346*t. Let a(w) = -11*w**2. Calculate b(a(u)).\nAnswer: 674806*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + c)*(6*c - 4*c - 4*c) + 147*c**2 + 951*c - 154*c**2 + 8*c**2 + (-6*c + c + 3*c)*(-2*c + c - c).\nAnswer: 3*c**2 + 951*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/6736 and 39\/26102.\nAnswer: 208816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 140. Let z be o(0). Is -140 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3514116876117 + -0.3?\nAnswer: 0.0514116876117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r - 740. Let i = r + 211. Solve -4*w - 8 = 2*m - 2*w, 4*w = 5*m + i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 52.982898 in descending order.\nAnswer: 52.982898, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p - 1833 = -111*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 126600837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 2188*q - 766489. Give k(438).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z - 8*z + 9*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -264 in 4, 8.86, 0.2, -9, 1\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:14 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1393.208 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1322 - 2319. Let g = 173 - h. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/7 + 14618*o + 11639172\/7 = 0. Calculate o.\nAnswer: -51049, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovgrooork. What is prob of sequence rg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/19)\/(n*n**(-14))*n\/(n\/((n\/(n\/(n\/(n**(-3)*n))))\/n))*n*(n\/n**(1\/6))\/n)**(-15\/2) assuming n is positive.\nAnswer: n**(-9085\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 6, 5 in descending order.\nAnswer: 6, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 + 7*v**2 + 4*v - 10. Let o be u(5). Let a = -11985\/7 - -1717. Find the common denominator of (-2)\/14*2 - 330\/o and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.75 + -0.25. Let z = 3.5 + j. Sort -0.3, z, -6\/7 in ascending order.\nAnswer: -6\/7, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-9 - -4 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 0 (c) -3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 25, -5, -2, 4, -147 in descending order.\nAnswer: 25, 4, -2, -3, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 1 + 0*t - 2*t**2 + 0 + 3*t**2. List the prime factors of s(7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 27262?\nAnswer: -27261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Let n(o) = -47*o**2 - 1580*o. Calculate n(k(p)).\nAnswer: -188*p**2 + 3160*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4469061 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*z**3 + 155*z**3 - 100*z**3 + z**2 - z**2 - 2*z**3 + (2*z**2 - 4*z**2 + 0*z**2)*(-3*z + 0*z + z) in the form w*z + t*z**2 + p*z**3 + s and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 + 7*v - 11. Suppose 5*j - 14 = 3*x + 4, -x + 4*j = 6. Suppose -14 = 6*k - 4*k. Let r(h) = -5*h**2 - 6*h + 10. Give k*r(t) + x*i(t).\nAnswer: -t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 32?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 (base 9) in base 4?\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a2e - -3?\nAnswer: -a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(76) + -4)**2.\nAnswer: 80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*h + 926*h = 595*h + 5508 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0610073 at least as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) + 4060\/87. Is 47 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11405160 by 936.\nAnswer: -12185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 581108 and 9306.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001100101 (base 2) to base 14.\nAnswer: 31b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g - g + 6*g + 5 - g - 5 + (3 + 2 - 4)*(-2*g + 3*g + g))*(11 + 17 + 6) + (2 - 2 - 2)*(-2 + g + 2) to the form m*g + j and give m.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/60060*66 - 4\/10\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2)\/1 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.61 and 8.\nAnswer: 84.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let w be y(-2). Suppose w*m = m - 12. Let x = 0 + m. Which is the third smallest value? (a) 1 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Which is the nearest to -4? (a) -1\/2 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 1, -1490, -5 in increasing order.\nAnswer: -1490, -12, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4521909926 to the nearest integer?\nAnswer: 67245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.8 in 34, -4, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/19, 13, 3 in descending order.\nAnswer: 13, 3, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by ((-1)\/(-3))\/(-2 + (-326)\/(-162))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (16 - 7 - 7) + 33 + -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen tenths of a micrometer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2 - 5) + (-26 - 2) + 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + (11 - (-1 - -14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11012)\/(-60566))\/(10\/(-121))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -67185 (b) 2\/23 (c) -137\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -8. Suppose 3*l - v = 20. Solve 0 = 2*c + c + l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08827718 to four decimal places.\nAnswer: -0.0883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 117 - 2*y**4 + 3*y**4 - 16*y + 15*y - 5*y**4 - 2*y**2 + 2*y**4 as s*y**2 + k*y + r + p*y**3 + h*y**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240540?\nAnswer: 2, 3, 5, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -5*c + 3*o - 18, -9 = 4*c + 5*o. Let u = 16 + c. Let y = 8 + -4. What is the remainder when u is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 2)\/(1\/24). Let s be (-50)\/15*m\/(-10). What is the third derivative of -2*w**2 + s*w**2 - 6*w**2 - 10*w**3 wrt w?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4831742687?\nAnswer: 23, 43, 4885483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w. Let p(q) = 23*q**2. Calculate a(p(t)).\nAnswer: -276*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 3, i: 16}. What is prob of picking 1 k, 1 i, and 1 m?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4219351 - 4219388.69546. Let u = -37.7 - x. Round u to 4 decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, m: 5, r: 4}. What is prob of sequence rq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4148473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-411)\/56 - (-42 + 35) and 67\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 4 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5039*w**4 + w - 2124 wrt w.\nAnswer: -60468*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-14 + 10 - 21) - -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -5.96. What is the third smallest value in -0.2, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 15*v - 66. Calculate y(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021229702 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:33 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:47 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Suppose -t = -z*t. Let n(q) = -q**2 - q + 34. What is the remainder when n(t) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 5*z**2 - z - 9. What is k(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 35?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 663 = 4*d, -d - d - 3243 = -5*u. Let n = u - 71. Let w = n - 310. What are the prime factors of w?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 6*m - 23142. Let i = m + -1219. Let h be (6\/(-15))\/((-11)\/(-5)). Which is the closest to i? (a) -0.3 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r*t**3*u + r*u - 5*t**3*u - 15*t**3 + 4*t**2*u - 22*t**2 + 2*t*u wrt t.\nAnswer: -12*r*u - 30*u - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10507533.\nAnswer: 3, 3502511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 4.15*0.317\nAnswer: 1.31555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from ouuyoyyouoyyyooyuyuo?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2264, 4537, 6812, 9089, 11368, 13649, 15932?\n\"Answer: d**2 + 2270*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-6))\/((-354379)\/56016 + 2\/(-32))?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/21)\/((-1126)\/(-78820))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:11 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4131\/54)\/51)\/((-7)\/56).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + b - b + (-4 - 3*b**2 + 4)*(0*b**2 + b**2 + b**2) - 3*b**4 + 4*b**4 - 3*b**4 - 2*b**4 - b**3 + b**3 + (2*b**2 - 2*b**2 + b**2)*(b - b - b**2).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -142*d - 23?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-4))\/((-2)\/7). Is y\/4*8\/(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - l**3 - 7*l + 7*l**2 + 5 + 5*l. What are the prime factors of t(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 + 21*g**3 + 68*g**3 - 308*g**3.\nAnswer: -224*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 2*a**2 - 1.\nAnswer: 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5\/2 - 30*w**4 + 45*w**3\/2 + 945*w**2 - 4050*w + 4860 = 0. What is w?\nAnswer: -6, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 4. Let c(m) = 4*m + 8. Let o(y) = 3*c(y) - 5*s(y). What is o(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8944\/(-215)*12*(-55)\/(-264)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 1142360*j - 13707600.\nAnswer: -5*(j + 12)*(j + 228460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -505562 (base 7) to base 14\nAnswer: -234d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -cb?\nAnswer: -d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 11*l. Let d be y(15). Let j be d\/(-15) - 1*2. Is -7 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 5. Suppose -5*i - 273 = -0*g - 3*g, 4*g - 3*i = 353. Let w = g - 597\/7. Put w, h, -0.4, 5 in decreasing order.\nAnswer: 5, w, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192)*-2*-2 - (-5*(sqrt(192) + -1) - -6*(sqrt(192) + sqrt(192)*-2)))**2.\nAnswer: -1200*sqrt(3) + 43225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/35 and (-18)\/(-12)*(-11)\/(2156\/(-8)).\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2790 = -54*j + 2124. Calculate the remainder when 544 is divided by j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 7 + 5 = 0. What is the remainder when 48 is divided by (-1 - 9\/z) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147335233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 - (37 - (0 + 1)) - (-22299 - -22294)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040943 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 h(m) = -2850000*m. Let s(l) = l**2 - 7*l + 6. Let r be s(7). Suppose 0*q + r = -3*q. Let a be h(q). Round a to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2898 and -137\/54.\nAnswer: 8694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a - 22184 - 17086 = 0. Let f = a + 4235. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -10. Let v be 4\/m + 60\/14. Suppose 5*b - 20 = -0*b. Is b greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166003716 to the power of 1\/2, to the nearest integer?\nAnswer: 34147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640)*2)\/(sqrt(12)*-1*6).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Let k = f - 2. Factor w**4 - w**3 - w**3 + w**2 + k*w**2.\nAnswer: w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**3\/3 - 17483*d**2\/2 - 14328138*d - 5372642\/3 = 0.\nAnswer: -3278, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18980\/130*8\/6*3. Is 584 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8572, -8209, -7846, -7483?\n\"Answer: 363*k - 8935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.959 + 0.141. Which is the nearest to -0.1? (a) 0.5 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**2*o))*o)**(4\/5))**15*(o**(-2\/9)*o)**(-48)\/(o**2\/o**(-8)) assuming o is positive.\nAnswer: o**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - 0.061. Let y = 0.011 + x. Which is the nearest to -2? (a) -2 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 534\/15 + 8*(-9)\/(-180)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 4, 2\/3, -0.2, -2\/3, 903.5?\nAnswer: 903.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p - 203*p + 5847 - 1461 = 0. What is the highest common divisor of p and 3927?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/40*10)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 320142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*j = 70*j + 2517851. Calculate the greatest common factor of j and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-238)\/21)\/(-17))\/(((-14)\/(-1071))\/(80\/(-48)))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*j + 26*j - 54*j)*(-j**4 + 2*j**4 + j**4).\nAnswer: 44*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4 + (sqrt(343) - ((2 + sqrt(343) - sqrt(343)) + -5)))**2 + 5)*-2*-1 + -2.\nAnswer: 196*sqrt(7) + 796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6359, -12720, -19075, -25424, -31767, -38104?\nAnswer: -44435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 13*p + 257. Let d be 40\/(-4) + 5 - p. What is the greatest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 328526 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k - 41*k**2 - 2 + 2 + 35*k**2. Let f(t) = -t**2 - 2*t. Let w(j) = -d(j) + 2*f(j). Let h(l) = -20*l**2. Give h(w(z)).\nAnswer: -320*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1783116, 1783115, 1783114, 1783113, 1783112, 1783111?\nAnswer: 1783110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 24*v + 128. Let r be x(-5). Solve 0 = u + 4*n + r, -24 = -4*u + 4*n + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/150*(435\/(-45) + 11). Which is the smallest value? (a) -2\/3 (b) j (c) 3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(0 + 3) + -4. Let i = 1 - r. Let h(s) = 8*s**2 + i*s**2 + 7*s - 6*s. Give h(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1 - (1 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -192*x - 13831. Give k(-72).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 + -593\/4. Put -2\/5, 2\/69, z in ascending order.\nAnswer: -2\/5, z, 2\/69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -19. Calculate the greatest common divisor of 35 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -213, 789, 2465, 4821, 7863, 11597, 16029, 21165?\n\"Answer: y**3 + 331*y**2 + 2*y - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.3, -816418, 1\/3?\nAnswer: -816418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 != -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/6891 or -1?\nAnswer: -2\/6891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 6*f + 5. Let a be (4 + f)\/(780\/256 - 3). Suppose -3*m + a = 66. What is the highest common divisor of 336 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(-1848))\/(6\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -2e?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjdjxmdmddcmjdmddddj. What is prob of picking 1 x and 1 c?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 5.398?\nAnswer: 2.1592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 = -4. Let n = -2 - -1. Let b be (-5 + (-34)\/(-4))\/((-224)\/(-128)). Sort n, f, b in increasing order.\nAnswer: f, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 661232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7917, 16080, 24235, 32382, 40521?\n\"Answer: -4*x**2 + 8175*x - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - g - 7 = 0, x + 0*x = g + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28628 - 28653. Let v = 13337506.000068 - 13337481. Let f = v + c. What is f rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2106 and 1869480?\nAnswer: 24303240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - u = -4*u - 7, 3*h + 3*u = -9. Let d = 1 - -1. Let i be (-4)\/12 + 19\/12. Which is the closest to h? (a) 5 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrr. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000000001 - 101?\nAnswer: 1010111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from nvvnnvbvnvnvvvvvjmbv?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 10. Let j be y(4). Let g(o) = 97*o + 2. Let r be g(j). What is the tens digit of ((-6)\/7)\/((-7)\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 153*w + 21. Let r(p) = 8*p. What is l(r(u))?\nAnswer: 1224*u + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 87853\nAnswer: -63\/87853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123 and 1779.\nAnswer: 72939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 925 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 646\/12)*-14*(-15)\/(-5775) and 64\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let k be q(3). Suppose -2*c + k*c - 8 = 0. Find the second derivative of 5*f**3 - 3*f**3 - c*f**2 + 2*f + 2*f**2 wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let r(m) = 3*m**d - 2 + 2 - 4*m**2. Let o(w) be the second derivative of -w**3\/6 - w. Determine r(o(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024858 to five dps.\nAnswer: 0.00249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 14 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-3)\/(-27))\/((-6)\/(-90))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5 - 22*n**4 + 35*n**3 + 248*n**2 - 628*n + 368 = 0?\nAnswer: -23, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (5 - (9 + -4 - 10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -1261, -5, 3\/2, -2\/11, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-51)\/153).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 6 + 2*d**3 + 3*d**3.\nAnswer: 3*d**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/4)*m)*m\/(m*m**(-3)*m)*m)\/(m**2)**(-1\/3) assuming m is positive.\nAnswer: m**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 16. Suppose 0*v + 3*v - p = 0. Suppose -2*x - 8 = 0, 2*m - 2 = 5*x + 30. What is the least common multiple of v and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1912 = 193*s - 125*s + 171*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2893*h**2. Let g(k) = -56022*k. What is g(p(c))?\nAnswer: -162071646*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 6. Let r(l) = -1. Let n(g) = -i(g) + 4*r(g). Let j(f) = 262 - 9*f - 275 + 10*f**2 - f**3 + 2*f. Let b be j(9). Give n(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*r = -r - 23, -3*u = -4*r - 43. Let m be (34\/(-10))\/((-4)\/(-10)). Let a = u + m. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.03 (b) -2.6 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 56*j = -506. Solve -10*c = 4*c - j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-3*1\/(-5)*14*(-4780)\/(-8604)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*q - 2 - 7, -2*l - 9 = -3*q. Suppose 5*x - 22 = 2*r - 127, -5*r = 3*x - 216. Let i be (-96)\/r + (-6)\/(-45). Which is greater: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 253. Let n(o) = -o**2 + 8*o + 11. Let r be n(7). Let m = 18 - r. Is l(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (3 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -15*c + 184. What is the least common multiple of c and 1\/(-2) + 17\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/779, -0.4, 0.3?\nAnswer: -2\/779","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/((-25)\/(-6)) + 9)*4\/2. Solve -25*c - d*c = -31 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 6*v. Let a be n(5). Let p(i) = 15*i**2 - 3*i - 12. Does 42 divide p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 5*d + 220. Let y = 48 - d. Calculate the greatest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 0*k**3 + 0*k + 3 + 3\/2*k**2 - 1\/12*k**4. Let g(b) be the second derivative of t(b). Let s(v) = v**2. Give g(s(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 14*j**2 - 42*j. Give p(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.07 + 2.67. Let j = 8.3 - 44.3. Let w = j - k. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llm when three letters picked without replacement from {z: 2, b: 9, m: 1, l: 4}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 2. Let d be v(-3). Let l be -6*(d\/8 - -2). Solve -2*y = -2, 0*s - l*y + 8 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167252866 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12404 (b) 16\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3381654 divided by -563609\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111508 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -10. Let t = 10 - l. Suppose -g = d - 2*g - 3, 4*d - t*g = 9. Solve 2*s + 8 = 5*y + 5*s, -4*s - 16 = d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (2 + -3*-2*(1 + sqrt(1088)) + 3 + (sqrt(1088) + -1 + sqrt(1088) - sqrt(1088)) + -4 + (sqrt(1088)*2 - sqrt(1088)))**2).\nAnswer: -139326 - 1536*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/9 + 447895*a**2\/9 + 5572522967*a + 5572473201.\nAnswer: (a + 1)*(a + 223947)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*c - 175*c = 11*d - 15, 5 = d - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 81*d - 1320. Give a(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195481115*f**3 + 74*f**2 + 287*f + 121 wrt f.\nAnswer: 1172886690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 - 468.4.\nAnswer: -468.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.119998 - 0.1186. Round t to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34842, -34846, -34850, -34854, -34858?\n\"Answer: -4*h - 34838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84187 (base 9) in base 10?\nAnswer: 55564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajxaxgxxaa. What is prob of picking 2 x and 1 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*((o*o*o*o\/o**(7\/5))\/o)\/o*o**(6\/5)*o\/o**(-1\/18)*o**(-12) assuming o is positive.\nAnswer: o**(-733\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + -1 + 1. Let g be (m + -35 + -1)\/(-1). Let x = 78 - g. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19108 divided by 232.\nAnswer: 4777\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 16. Give u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -467 + 485. Let v = 57 - 54. Suppose -5*i - 3*g + 275 + 28 = 0, -12 = v*g. Calculate the greatest common divisor of i and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 206 + -1c85?\nAnswer: -1a7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 2)\/(-5 - (-62)\/4). What is the nearest to 1\/3 in 1\/2, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 2:09 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 12, v: 2, x: 3}. What is prob of sequence xcvx?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 422*j**3*r**3 + j**3 + j**2*r - 2741*j*r**2 - 2*j*r - 5*r - 36 wrt r.\nAnswer: 2532*j**3*r - 5482*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 2*a)*(62*a + 16*a**2 - 62*a) + (-234*a + 260*a + 87*a)*(4*a**2 + 3*a**2 - 4*a**2).\nAnswer: 371*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6171*k**5 + 92556*k**4 + 462690*k**3 + 770700*k**2 - 1125*k.\nAnswer: 3*k*(k + 5)**3*(2057*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 16*f - 10. Let x(v) = -11*v + 7. Give 5*j(q) + 7*x(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 5*b - 4*b)*(-65*b**2 + 16*b**3 + 65*b**2).\nAnswer: -80*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -2\/7 (b) -4 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 19*u**2 + 20*u + 24. Let n be 178\/4 - (-3)\/2. Let y = n - 34. What is the lowest common multiple of t(-20) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, -4, -5, 4, 29, 76, 151?\n\"Answer: w**3 - 4*w**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1785611692.\nAnswer: 2, 446402923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1107\/13 + -85. Suppose 0 = 5*i - 11 - 9. Let y = -8 + i. Which is the biggest value? (a) g (b) y (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35856 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q. Let i be s(1). Let p(t) = -t**3 - 2*t**2 + 11*t + 12. Let y be p(i). Let u be -30*2\/(-12)*2. Solve 2*l + 4 = 3*j - j, -3*j - 5*l - u = y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5559 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -3 (b) -0.012156 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-1))\/3 + 27. Solve 5*v + x = 2*x + t, 2*v + 4*x - 18 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1357*t**2 + t**3 - 678*t**2 - 692*t**2 + (0*t + t - 2*t)*(3*t - 3*t - 2*t**2).\nAnswer: 3*t**3 - 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -747.99 - 10.01. Let n = 758.000754 + u. What is n rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -2\/9 (c) 2 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027307508 to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 807968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*n**2*t**3 + 26*n**2*t**2 - 11990*n**2 + 2*t**2 wrt t?\nAnswer: 96*n**2*t**2 + 52*n**2*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -23*g + 4194. Suppose 16*i - 15*i = g. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 4:08 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464 and 812.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 7. Let o be g(-6). Let n = -4 + 4. Let i = o + n. Which is the nearest to 1\/3? (a) -0.1 (b) i (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 336\/28 + (-270)\/24. What is the closest to 17 in -33\/5, b, 0, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2 + 20*a - 9*a - 2 + 6*a. Let x(s) = -31*s. Calculate k(x(g)).\nAnswer: -527*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 + -204423?\nAnswer: -204424.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32987 is divided by 688?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 32 (c) -0.06 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**3\/6 - o. Suppose -4*y + y + 12 = 0. Suppose 5 = -k - 5*n, 2*n = 4*k + y*n + 2. Give p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*n**3*w**2 + 98002*n**3*w + n**3 - 28*n**2*w + 225852*n*w**2 + 3*w**2 wrt n.\nAnswer: 792*w**2 + 588012*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32892432 and 31312?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 10*w + 2. Suppose -673*s = -686*s + 65. Give l(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 - 4 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000100 + -1010100?\nAnswer: -10001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870971517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2157*k**3 + 134*k**2 + 79*k**3 - 148*k**2 + 3*k.\nAnswer: -2078*k**3 - 14*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 28 = -4*v, 13 = 5*v - 5*r - 22. What is the smallest common multiple of v and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + u + 2*u + 4*u - u + 2 - 3*u. Let t(x) = 2*x**2 + 2 - 3 + 3*x**2 - x - 4*x**2. Determine 2*m(a) + 6*t(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)*b**(-20) assuming b is positive.\nAnswer: b**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 129?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + 106\/10. Let p be ((-2)\/(-6))\/((-1)\/(-9)). Suppose 1 + 3 = o, 5*d - p*o - 38 = 0. Which is greater: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11435769?\nAnswer: 3, 423547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -69*n + 62*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 1241.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 246*u + 8181. Calculate j(44).\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/8 + (-2)\/(-8). Let g be (1\/(12\/(-40)) - -2)*-12. Suppose -10 + g = 3*l. Calculate the highest common divisor of b and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/15 + (-14)\/(-5). Suppose -12 + 20 = m. Solve 2*u - 8 = n*p - 2*p, -3*p + m = 2*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9*a + 24 = 0. Let m be 0 + a - (-10)\/2. Let z(p) = 224*p**2 + 4*p - 3. List the prime factors of z(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -66, -2, 16, 0, 3, -3 in increasing order.\nAnswer: -66, -3, -2, 0, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 - t**4 + 3*t**4)*(-3 + 3 + 7) - 3*t**4 - 2*t**4 + t**4.\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23778 and 3438?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b + 7 = -4*o, 4*o = -2*b - 2. Solve -b = -3*n + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -611012*j**2 + 515513*j.\nAnswer: -1222024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**3 + 3*v**2 - 6*v + 2. Does 9 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1889? (a) -1.15 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1398059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4155*o + 8296. What is x(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1551 + 3608. What are the prime factors of z?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z + 2. Let n be (12\/15)\/(z\/(-5)). What is the first derivative of 3 - d**4 + 0*d**n - 4 wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*c - 80*c - 24*c + (-c - 3 + 3)*(1 + 7 + 3) as a + n*c and give n.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 - 3 - -6) + -12 - 15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10642\/(-8451))\/(-3 - 100\/(-36)). Let o = -284\/3 + 98. Factor -o*m**2 + y*m - 8\/3 + 1\/3*m**3.\nAnswer: (m - 8)*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 154393.05 to the nearest 100.\nAnswer: 154400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-12)\/3)\/(-1))\/2. Let t be (-3)\/f*2*-1. Suppose 3 = 5*g - 22, 5*r - t*g - 95 = 0. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, d: 2, x: 4, o: 1, j: 1}. Give prob of picking 2 x and 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnjvcqcq. Give prob of sequence ntq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-30)*(-40)\/(-15). Which is the third biggest value? (a) g (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 2802360?\nAnswer: 53244840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*sqrt(2)*-1*1)**2 - (2*sqrt(12)*-1)\/(sqrt(216) + sqrt(216)*2).\nAnswer: sqrt(2)\/9 + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Let u(p) = 6*p**2 - 3*p - 1. Is u(o) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287447, 1149300, 2585713, 4596680, 7182195?\nAnswer: 10342252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -2\/41 (c) 4 (d) -739\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -16*v - 1. Let h(m) = -63*m - 3. Let g(c) = -4*h(c) + 18*y(c). What are the prime factors of g(-6)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3 - 4*t**2 + 52*t - 3*t**3 + 0*t**2 - 73*t + 0*t**2 + 25*t. What is f(2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-47)\/(-4) + 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o + 0*o + (-1 + 3 + 0)*(-4*o + 5*o - 3*o) + 14*o + 15*o - 14*o)*(o + o**2 - 5*o**4 - 2*o + 3*o**4).\nAnswer: -20*o**5 + 10*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-429)\/110)*(-39)\/26\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11*g**3 - 5*g - 5. Let b(y) = 17*y**3 + 8*y + 8. Suppose -2*c = -f + 9, 14 - 40 = 5*c + f. What is c*b(h) - 8*n(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 13*t**2 + 14*t + 15. Let f be d(-14). List the prime factors of -1 - 0 - f\/((-45)\/528).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127539*f**3 - 127605*f**3 + 2*f - 2*f.\nAnswer: -66*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3.3, -5, 4, -0.243, 0.1 in descending order.\nAnswer: 4, 3.3, 0.1, -0.243, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0779 rounded to one decimal place?\nAnswer: 18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i**3\/8 + 50289*i**2\/8 + 268449*i\/8 + 83895\/8 = 0.\nAnswer: -5, -1\/3, 5593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {x: 2, z: 1, i: 4, d: 2, a: 6}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 times 6.66\nAnswer: 40.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*i - 25 + 70, 29 = -3*j - 4*i. Suppose -5*f = 8*k - 8 - 265, f = 5. Let g = j + k. Calculate the greatest common factor of g and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 5*s**2 + 9*s + 3. Does 22 divide r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208200 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 75\/1575*-273 - (-2)\/(12\/73)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3530*k**4 + 1699*k wrt k?\nAnswer: 42360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 2. Let z(w) = -w + 6. Let c be z(8). Sort c, -5, l in increasing order.\nAnswer: -5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23724 is divided by 3376?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82375113.\nAnswer: 3, 27458371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2326 to two dps.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i = -72*i + 99267. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1.6155, -0.0413, -4, 0.1 in increasing order.\nAnswer: -4, -1.6155, -0.0413, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 20 = 4*d, -3*w - 396*d - 5 = -398*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - -92.5. Let s = f - -69.5. Which is the second smallest value? (a) 1\/2 (b) 42\/23 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*p - 107*p. What is the nearest to 1 in 1, 0.3, p, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1 - 4) + 1. Is c\/(-5)*(6 + 24) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1, 0, -44, 2\/7, 88.8 in decreasing order.\nAnswer: 88.8, 2\/7, 0, -3\/5, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/162250 and 19\/730125.\nAnswer: 1460250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 360\/(-30)*14\/(-24) - (-1 + -387). Solve 15*t + i = 350 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-2*z**2 + 0*z**2 + 3*z**2) + 2 - z**2 - 2 - 2*z**2 + z**2 + 3*z**2 + (5*z + 3*z - 5*z)*(2*z + 0*z + 0*z) - z**2 - 2*z**2 + z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 7*d**2 - 11*d - 19. Suppose 4*n = 2*f - 5*f - 40, 5*n = -f - 28. Let u be j(f). Suppose -u*i = 32 - 152. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1418*s - 1. Let y be c(3). Let v = y - -6014. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-six fifths of a gram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - g + 2*g + g + 2*g - g + (1 + 1 + 0)*(-5*g + 2*g + 0*g))*(-134*g + 79*g - 218*g) as k + w*g**2 + c*g and give w.\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2035 + -4?\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-259)\/69 + 5434\/1482\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/8*62\/(-217)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from ededgdee.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-6)*(-12)\/(-5). Suppose t = 4*t - 30. Let m = t - 8. Solve -d = 3*u - m*o, 0*u = -3*u + o - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37944001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14*p - 5. Is r(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 - 2*n + 3. Determine w(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96\/18 + -6 + 151606\/51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66\/1127? (a) 5 (b) 4\/5 (c) 12.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -2, 4, 20 in increasing order.\nAnswer: -11, -5, -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (3 + (-4 - 4) - -19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (4 + (5 - 11)). Let r(t) = t**3 + 5*t**2 + t - 3. Determine r(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 43. What is the units digit of v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11477 divided by -7172\nAnswer: -11477\/7172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1553 = -5*i, -i + 1176 - 143 = 2*p. List the prime factors of p.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44067, -87937, -131801, -175659?\nAnswer: -219511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, h: 1, f: 2}. What is prob of picking 2 v?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*(-4)\/(-4))\/1 - -1. Are o and -5\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025753 to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/40 and 169\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**2 + 0*q**2 - 3*q**2)*(q + q - 6*q) - 10*q**3 + q**2 - 3*q**2 + 6*q**3.\nAnswer: -32*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 10:37 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w - 11 + 9 + 2 + 8*w**3 + 5 + 6.\nAnswer: 8*w**3 + 20*w + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 21*x - 21*x.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -144, -142, -140?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -74005*o - 666052. Give z(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 + 129. Let k be (-133)\/9 + (-12 - -13). Is r smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**3 - 4*b**2 - 4*b - 2. What is d(-2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (71*b - 334*b + 715*b)*(26 - 26 + 10*b) to the form i*b**2 + u*b + r and give i.\nAnswer: 4520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + -19955547?\nAnswer: -19955562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.6393 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 203550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, 0.3, 5, 6\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5910 - -3386. Let g = 3615 + v. What are the prime factors of g?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d**3 - d - 1. Let l be -3 + (312\/(-1))\/(-4). Let k = -79 + l. Let c(y) = -8*y**3 - y - 1. What is k*m(r) + 5*c(r)?\nAnswer: -4*r**3 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + r = -1206, 5*r + 140 + 370 = 2*d. What is the highest common divisor of d and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -66 - (7 - -52)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3108 is divided by 162?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -6.318.\nAnswer: -18.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.443486 years in decades?\nAnswer: 0.8443486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -16 - 5. Suppose 0 = -r + 4*z + 14, 5*r - 2*z - 19 = z. Calculate the smallest common multiple of 1 - y*1*1 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1974934 + 3810*c**2 + 1974934 to x + r*c + w*c**2 and give w.\nAnswer: 3810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(8\/36). Let s = c - -3. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 38\/(-14)) + 62\/217.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:46 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*a - 252 = 0, -3*p = 22*a - 27*a - 760. What is the remainder when p is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -2*f**3\/3 - 5. Suppose 0 = 3*m + 7*m - 30. Let j(d) = 10*d - 15*d + m*d**2 + 5*d. Give v(j(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 321*w + 1. Let s(i) = -971*i - 3. Give 7*k(c) + 2*s(c).\nAnswer: 305*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 198191901 + -198191324.001585. Let g = i + -577. Round g to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2337, -2, 0.2, 2\/5, -4\/3, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 461 - 573 + 0*k**2 + 3*k**2 - 19*k wrt k?\nAnswer: 6*k - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + 56\/21. Let p be (-3)\/(w\/(-6)*-3). Let f be (-6)\/(-234)*13 - 16\/(-6). Put p, 7, f in ascending order.\nAnswer: p, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6188\/(-6240) + (-1 - -2). Let s(x) be the third derivative of 0*x + 1\/3*x**3 - 1\/4*x**4 + 0 - o*x**6 - 14*x**2 + 7\/60*x**5. What is s(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -755 divided by -163?\nAnswer: 755\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -43\/4. Let y = 490 - 483. What is the closest to -1\/3 in c, 0.4, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 9792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 31\/3, 1\/9, -1\/4, -0.3 in ascending order.\nAnswer: -0.3, -1\/4, 1\/9, 2\/7, 31\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 32. Let h = q - 24.8. Let c = -2.2152 + h. What is c rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 256 = -4*h, -2*h + h + 62 = -2*n. Suppose -9 + h = v. Suppose 3*f - v = -18. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 559. Let z(o) = o. Calculate z(h(q)).\nAnswer: -2*q + 559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(-4)\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -281 - -80. Calculate the lowest common multiple of 4 and 3\/(-9) + (-6)\/(54\/k).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 72\/5 of a centimeter?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 < 951907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 6*l**2 - 4. Calculate g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktttzttjktzttjjjz. Give prob of picking 2 k and 2 z.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1297478 divided by -14?\nAnswer: 92677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1530, -1, 0, 2401 in increasing order.\nAnswer: -1530, -1, 0, 2401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/13, 0.4, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -30259*w + 5161. Is g(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 (base 16) in base 11?\nAnswer: 14a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = -3*f + f, s - 17 = -4*f. Let t(u) = -7920001*u + 1. Let x be t(s). Let h be x\/(-22) + 26\/(-143). What is h rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 260?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 3 = 41. Let j be (f\/14)\/((-77)\/98). What is the nearest to -0.1 in -0.4, j, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rar when three letters picked without replacement from arr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11341233 (base 6) in base 7?\nAnswer: 3010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.1 - 23. Are -66 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -67. Let d be (18\/u)\/((-8)\/48). Which is bigger: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-3)**2*-4 + (sqrt(99) + 2*sqrt(99))\/sqrt(9)*2.\nAnswer: -9900 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3057179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -785 or -6291\/8?\nAnswer: -785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*f - 22, 2*v - 28*f + 8*f + 21*f + 24 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0311 times 5\nAnswer: -0.1555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -492980*r**3 - 6717841600*r**2 - 42788785*r - 68135 = 0.\nAnswer: -13627, -1\/314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/((-1404)\/65)*(-2)\/(-45)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 378?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897813022.\nAnswer: 2, 448906511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 91 (b) 3 (c) -9 (d) 3\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {h: 1, e: 2, b: 1, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b8 (base 14) in base 13?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3860993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 1. Let z(i) = i**2 + 4*i - 2. Let p be 0 + (-2)\/(2 - 0). Suppose 5*c = 27 - 2, -2*j - 23 = -5*c. Let k be 16\/4*j\/2. Give k*h(a) + p*z(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 122?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1221331, 4885492, 10992429, 19542142, 30534631, 43969896?\nAnswer: 59847937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -128405 divided by 25681?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 852937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 5:36 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 13240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 x when four letters picked without replacement from xhhaaxaajex.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 1100221?\nAnswer: 1100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) - (sqrt(144) - (sqrt(144) + sqrt(144) + (2*sqrt(144) - sqrt(144)) + sqrt(144))*-5))\/((-2*sqrt(1452) + sqrt(1452))*2).\nAnswer: 20*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*h + 620*b - 624*b, -3*h = -2*b - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/425 - (-328)\/(-25))*(6 - 0 - 11)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 10) to base 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 8 - (-5 - (1 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**9\/9072 + f**7\/1260 - f**5\/360 - 73*f**3 - 181. Let v(b) be the third derivative of s(b). Factor v(h).\nAnswer: -h*(h - 1)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1977283 tonnes in grams?\nAnswer: 197728.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 3. Let i be b(-5). Suppose 0*c + i*c + u = -699, -2*c - 2*u - 698 = 0. What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/22)\/((-11)\/(-4)). What is the second smallest value in n, -5, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/2)\/(-1 - 9 - -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23467, 23463, 23453, 23437, 23415, 23387, 23353?\nAnswer: 23313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 1\/10 (c) -27 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-21))\/((-5)\/(-35)). Solve -45 = 4*v - 5*c, v + l*c = -2*c + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3*(-5)\/(-1905)) + 2. Let b = -85 + 38. Let j = b - t. What is the greatest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2112)\/9856*(-4)\/(-8).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8397 is divided by 1337?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 6*n**2 - n - 8. Let a be g(-6). Let r be ((-6)\/a)\/((-27)\/(-6)). Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 297*x**2 - 4*x - 4. Let k(n) = -2*n**2 - n - 1. Calculate -4*k(t) + z(t).\nAnswer: 305*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 2 - 2) + 3 + 1 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 8*p**2 - 5*p + 8. Determine d(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - (-2 - -2))\/(-10 - 40451\/(-4047)) is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186.82884 - 186.9. Let m = -0.079 - z. What is m rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7))**(-30\/11) assuming c is positive.\nAnswer: c**(30\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3157*f + 3158. Calculate o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**2 + 10*x**2 + 8*x**2 + 0*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/33)*w**(3\/8)*w**(-15\/8)*((w\/(w**3\/w*w))\/w)\/w)**(1\/25) assuming w is positive.\nAnswer: w**(-367\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(sqrt(627)\/(2*sqrt(11)*-5))\/(-3*(sqrt(147) - (sqrt(147) + -1*sqrt(147))))*5.\nAnswer: 3*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nttttttnnntttnnnntn. Give prob of picking 2 n and 1 t.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/152880 and 113\/11919960?\nAnswer: 1168156080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-1902)\/24 + (-6)\/8. Let q be ((-3)\/(-2))\/((r\/(-4))\/13). Let o = 3\/5 - 11\/35. Sort q, -3, o in increasing order.\nAnswer: -3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 456343488 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*v - 35, 21 = -0*h - h + 2*v. Let p = 29 + h. Calculate the least common multiple of 9 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/(-12) + (12\/16)\/(-3). Let 2\/3*l**2 + 0 - t*l = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1027 + 1029. What is the smallest value in 13, -28, y, -1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 3*c**2 - 5*c - 2. Let u be f(-4). Let o be ((-21)\/(-35))\/((-1)\/(-5)). Solve 4*z + u*g - 11 = 5*g, -o = -2*z - g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyg when three letters picked without replacement from {g: 4, p: 2, w: 2, y: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 786359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*p - 33 + 34, -p + 5 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Suppose b = 4*n - 6. Suppose n*y = 3*y. Solve 0*d - 3*d = y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/4*l**4 - 5\/4*l**5 + 0 + 0*l + 0*l**2 - 1\/2*l**3.\nAnswer: -l**3*(l + 1)*(5*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 21*s + 3. Suppose 5*h + 25 = -2*f, h + 34 = -2*h - 5*f. Let b(i) = 62*i + 8. Let w(d) = h*b(d) + 8*z(d). Let y(c) = 2*c**2. Give w(y(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-243)*9)\/(2 + 1689\/423 + -6).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -7264 and -0.1379.\nAnswer: -7264.1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -17. Solve -p*f + 9 + 6 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/63, -28, -4, 0.4 in ascending order.\nAnswer: -28, -4, 2\/63, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 367919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 8, 3401 in increasing order.\nAnswer: 2\/15, 8, 3401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c - 3*w, 0 = c - w + 4*w. What is the lowest common multiple of c and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1759036 by 439759.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665.983638 rounded to the nearest integer?\nAnswer: 4666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/18 + -1 - 0. Let x = -2298 + 103414\/45. Let f = x - q. What is the nearest to 1 in 0.5, f, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5170560 rounded to the nearest 100000?\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 98*u**6\/3 - 1288*u**5\/5 + 417*u**4 - 656*u**3\/3 + 40*u**2 + 192. Solve t(f) = 0 for f.\nAnswer: 0, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -641 + 643. Differentiate 43 - 1 + 5 + 270*y**z wrt y.\nAnswer: 540*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 16*p - 97. Give q(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b5da + -10?\nAnswer: 6b5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**4\/5 + 626*q**3\/5 - 6062*q**2\/5 - 10196*q\/5 - 3504\/5 = 0. Calculate q.\nAnswer: -1, -1\/2, 12, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2. Let u(q) = 924109*q**2 - 2. Calculate u(n(o)).\nAnswer: 924109*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + 2*t + 7. Let l be v(-3). Suppose l + 77 = 16*u. Solve -5*n - 3 = -u*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -237520.6 rounded to the nearest 1000?\nAnswer: -238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 42\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51936 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5 - 4092*n**4 - 356817*n**3 + 807729192*n**2 - 3222996480*n - 4031078400 = 0.\nAnswer: -864, -1, 5, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1847, 7394, 16639, 29582, 46223?\nAnswer: 66562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 10473180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*u - 10471 = -8319 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 4, l: 2, m: 2, o: 4, w: 1}. Give prob of sequence wzl.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1505 - 1229 = 2*l + 27*u, -l - 37 = -4*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 1908655?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from qbwccqbbbbb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)\/(-1 + 0). Let r = 2 - m. Suppose r*f - 11 - 37 = 0. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 18 = -3*k. Let g = -1 - -13. Calculate the remainder when (k\/g)\/(2\/152) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 20.\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m. Let i(u) = 34*u**2 - 10. Let l(c) = 11*c**2 - 3. Let v(g) = -3*i(g) + 10*l(g). Calculate r(v(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, 0.6, 0.3, 60?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1314 and -32\/117.\nAnswer: 17082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12487*k**3*m**2 - k**3*m - 248*k**2*m**2 + 21*k**2 wrt k?\nAnswer: -74922*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140804773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3632 - -984270\/271. Which is smaller: f or 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544.5 take away 77?\nAnswer: -621.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 402 + 585 = 0. Let k = b - -180. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7 = -l - 23, -10 = -2*o. Let h(v) = v - 2. Let k be h(l). Let m(f) = k*f + 2*f + f. Let y(g) = g. Calculate y(m(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 3*c - 3*c + (-2 + 3 - 3)*(-44 - 28 + 101)*(1 - 4*c**2 - 1) to the form t*c + s*c**2 + n and give s.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.0163 litres to millilitres.\nAnswer: 47016.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a**2 + a + 2. Let q be g(0). Suppose -c + 2 = -t - 5, -2*t = -4*c + 18. Let o(h) = q*h - c*h + h. Let p(j) = 3*j. Determine o(p(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4, 0 = 2*z + p + p. Calculate the remainder when 3\/(3\/z) + 29 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*v - 252*v + 16588 = 0. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/54 or 1?\nAnswer: -11\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2197*w + 11*w - 339*w + 1267*w to the form c + n*w and give n.\nAnswer: 3136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362258.\nAnswer: 2, 13, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1152?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13704*x - 109747. Determine n(-8).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.92 times -5311?\nAnswer: -1306081.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(175)\/(sqrt(7)*-3))\/(sqrt(5) + sqrt(405)*1).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44570, 44570, 44560, 44534, 44486, 44410, 44300, 44150?\n\"Answer: -s**3 + s**2 + 4*s + 44566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9473 - -9473.1. Let y = 9 - 18. Put 5, r, y, -1\/4 in ascending order.\nAnswer: y, -1\/4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1243 (base 10) to base 4\nAnswer: -103123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 10 + (3 - 0) - 28?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13471 + 13471. Solve -4*c - o - 3 = n, 0 = -4*c + o - 4 - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/(o**12*o))\/o*o)\/o**(-2\/11))\/((o*o*o**11)\/(o*(o*(o\/o**(2\/41))\/o)\/o*o)) assuming o is positive.\nAnswer: o**(-9411\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 6*p + 2. Let x be a(-3). Suppose -4*g - g + 14 = -4*k, -5 = -5*k - 5*g. What is the nearest to k in 6\/11, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 + 1608*h - 161604 = 0. Calculate h.\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-1))\/8*0\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/8 + -1 - 1505\/(-172).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhhhigohhilhgiigi. What is prob of picking 1 h, 2 g, and 1 i?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -17. Suppose 2*h + 2*z - 1 = m, -5*h + 41 = 3*z. Let o be (-10 - -4) + (4 - 0). What is the smallest value in 0.2, 0.3, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 16858?\nAnswer: 16858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 4*d**2 + 6*d + 5. Let n be t(-5). Let g = n + 2. Suppose 0*b + 40 = g*b. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:48 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*i - 27*i**2 + 98*i**2 - 40*i**2 - 27*i**2 as n*i**2 + v*i + d and give v.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1212 divide 211769057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 182, 286, 460, 704, 1018, 1402?\n\"Answer: 35*i**2 - i + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 179 - 22 + 2*r**3 + 86.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*k - 4*k = -3*k, 0 = i + 4*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2854405, 5708811, 8563217?\n\"Answer: 2854406*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12867950*s**3 + 33512981*s**2 wrt s.\nAnswer: 77207700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10199.\nAnswer: 7, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.58669 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - -27. What are the prime factors of p?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -15*l - 28 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*n - 3326 - 13156, -3*g + 20601 = 5*n. Is 8243\/2 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (3 - 9)\/2. Suppose 5*b - 4*n - 10 - 2 = j, -b - n = -6. Solve -10 = b*c + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5652803419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 48553*s. Let q(d) = -d**2. Calculate y(q(g)).\nAnswer: -48553*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, 6 in decreasing order.\nAnswer: 6, 5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -0.043, -29, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92015?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 872 + 268 = 3*t. Suppose -40 = -k + t. Let g = k - -221. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1384 + -734. Let j = -1497 - x. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48011935.0005 + -48055178. Let h = 43233 + k. Let o = h + 10. What is o rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afffaf. Give prob of sequence fffa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 + i**3 + i**2.\nAnswer: i**2*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {w: 6, d: 4, o: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35657 divided by 7.\nAnswer: 35657\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 5 = 3. Let u(a) = 134*a**2 - 3*a + 2. Calculate the remainder when u(p) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 418 + -473. Let l be (-3)\/6*(-260)\/(-2). Let g = u - l. Calculate the remainder when 68 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.07245 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 424 and 1166.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47553 is divided by 218?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -553543 by 5.\nAnswer: -553543\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23482 and 10325?\nAnswer: 4109350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u + 24*u = 71*u - 160864000. Round u to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 11*w**2 + w + 2. Is s(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1710 divided by 285\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -499, 2\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4\/3 - 16*h**3 + 48*h**2 - 128*h\/3.\nAnswer: 4*h*(h - 8)*(h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 606b8 (base 14) in base 16?\nAnswer: 3899a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79657265?\nAnswer: 5, 15931453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5465*i - 5467*i = -2, 0*m = -9*m + 2*i - 101 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + 5*g**3 - 706*g**4 + 786*g**4 + g in the form d + t*g**4 + l*g**2 + u*g + m*g**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:53 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62401825 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -1. Let b = -8 - u. Let l = b + 5. Put 4, l, 0 in descending order.\nAnswer: 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 - 5)*(-2*c + 3*c + 2*c) - 1 + 1 + 2*c)*(-6 - 1 + 3)*(10 + 8 - 6) to z*c + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 55*s**2 - 1. Let d(a) = -222*a**2. Determine v(d(g)).\nAnswer: 2710620*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10754 + 29725. Let v = q + -948511\/50. Find the common denominator of -94\/15 and v.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12682355*j*o**3*q - 7248*j*o**3 + 10*j*o**2 + 3*j*o*q**3 + j + o**3 - 5*o with respect to q.\nAnswer: 12682355*j*o**3 + 9*j*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 0.028, -0.01, -0.4, 77, -1\/17?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1465, -5897, -13275, -23593, -36845, -53025, -72127, -94145?\nAnswer: -119073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 9.1, 5, 2\/13, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1216) + -1 + 3 - (sqrt(114)\/sqrt(6)*5 + (-2 + sqrt(19))*2).\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/14)\/(l*l**(3\/4)*l*l*l))\/((l**6*l)\/((l\/(l\/(l*l**6)))\/l)))**(-19) assuming l is positive.\nAnswer: l**(3173\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (77\/42)\/11 + ((-145)\/510)\/1. Sort -3, y, -1229 in descending order.\nAnswer: y, -3, -1229","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -34, 1 in ascending order.\nAnswer: -34, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 - 780350*k\/11 - 780352\/11.\nAnswer: 2*(k - 390176)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14615 = 234*m + 321*m - 4810 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -20, -10 - 3 = 3*w - 2*c. Let v be (w\/(-588))\/(2 - (-58)\/(-32)). Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (80 + 5 - -1) + 157 + -178\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 114.18123 and -4?\nAnswer: -456.72492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 295973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2370068 is divided by 3774.\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**3\/3 - 9*t**2 + 8*t. Let x be n(-10). Which is the closest to -1? (a) x (b) 0.3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -5*p**2 - 4*p - 1. Calculate the remainder when g(-2) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10689 - 6979. Let m = 5390 - f. Let j = m - 8449\/5. Find the common denominator of j and 21\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 42) + -5 + (1 - 11 - 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 86166\/59103 - (-4)\/(-2). Let b = 2\/597 - r. Let l be 3\/(-1) + 4 - 1. Which is smaller: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(48\/(-9))\/4. Differentiate 31*v**u + 2 - 3 - 40*v**4 wrt v.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -4*t + 11*i + 40, 0 = 2*t - 5*i - 30. Suppose 0 = t*y - s + 21028 - 63747, -4*y - 2*s = -34164. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*y - 540*y + 2330240. Calculate the remainder when y is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -284, -279, -274, -269, -264, -259?\n\"Answer: 5*v - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 993963944 to the power of 1\/2, to the nearest integer?\nAnswer: 31527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71750 at least as big as 71748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244e (base 15) in base 5?\nAnswer: 11441344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3351 - 1?\nAnswer: -3352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/((-512)\/120)*8\/27?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -3, -7\/20, 84, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(55*i**2 - 14*i**2 + 19*i**2) + (2*i + 2 - 2)*(-1 + 1 + i).\nAnswer: 122*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30885 at most 31012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 59300 = -59619 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v**2 - 9*v. Let n be r(9). Let y = n + -43. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7227*n + 7255*n + 12 - 10 - 2.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/1)\/(10\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 13, f: 5}. What is prob of picking 2 f?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + t)*(1 - 1 + 1) - 6*t + 9*t - t + (38 + 95 + 247)*(3*t + t - 2*t)*(4 - 1 - 4).\nAnswer: -757*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.53157219 to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, g: 5}. Give prob of sequence vv.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94.66 + -212.73. Round i to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in 0.3, -3, 0.4, 53?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r**3 - 11*r**2 + 60*r + 21. Let g(j) = -3*j**3 + 2*j**2 - 19*j - 6. Let a(b) = -7*g(b) - 2*v(b). Calculate a(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/15*6)\/(-14*3\/(-24)). Let 1\/7*q**4 - 16\/7 - 4\/7*q**3 + 0*q**2 + j*q = 0. Calculate q.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14305 is divided by 461.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 9. Let g be w(3). Let r = g - -16. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195407 + -197783.71. Let o = -2364 - g. What is o rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -4. Suppose 4*t + 4*l - p = 0, -5*t + 0*t - 4*l = -14. Suppose -3*x = t*j - 246, -5*x + 112 = -4*j - 276. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11839952 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 + 1875*j**4\/2 + 481*j**3\/2 - 5633*j**2\/2 + 2343*j\/2 + 469 = 0 for j.\nAnswer: -2, -1\/4, 1, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**3 + 10. Let w(f) be the first derivative of 4 + 0*f**2 + 0*f**3 + 1\/4*f**4 - f. Determine -b(g) - 8*w(g).\nAnswer: -2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3101 - 2000. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 - -148.9. What is the third biggest value in 5\/3, 2\/5, -9\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9219170 to the nearest ten thousand.\nAnswer: 9220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5425.933us to seconds.\nAnswer: 0.005425933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**6\/60 - v**5\/10 + 4*v**2 + 11. Let b(s) be the second derivative of x(s). Find the third derivative of b(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2*-11*1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + -41309876\nAnswer: -41309876.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 n when four letters picked without replacement from {x: 1, g: 1, n: 1, l: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 - (-4 + (-5 - -9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203\/3 - 67. Let w = 0.5 - 0.3. What is the closest to s in w, -2\/11, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 40 = 5*v. Is (-106)\/(-10) + 16\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) - (-14)\/3*1. Suppose -t*j + c - 16 = 0, -5*j + 4*c - 17 = -13. Does 22 divide j*(-605)\/(-20)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**2 + 5*z + 2. Let q(w) = -575*w + 9775. Let p be q(17). Determine h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66645 is divided by 33236?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - i + 1 - 15, -3*i = -h + 7. Sort h, 2, -75 in decreasing order.\nAnswer: 2, h, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(1\/3)*r**(-2\/11)\/r*r**(-7)*(r*r**(3\/8)*r*r)\/r assuming r is positive.\nAnswer: r**(-1357\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.912 + -0.088. Let h = -35 - t. Sort 0, -14, h in ascending order.\nAnswer: -14, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -g + 2*m + 27, -4*g = 3*m - 48. Solve -u + 0*u + g = -5*x, 4*x = -2*u - 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 + 108.4. Sort -0.2, r, -3, 2 in increasing order.\nAnswer: -3, -0.2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9.52 or -0.65572?\nAnswer: 9.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, q: 3}. Give prob of picking 3 l and 1 q.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eers when four letters picked without replacement from {s: 2, r: 3, e: 10}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 256, 490, 722, 952, 1180, 1406?\n\"Answer: -b**2 + 237*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3444*x + 62062 + 67695 = -59279 - 52044 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcccccccccfffcccccc. What is prob of sequence ccfc?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -2162323062?\nAnswer: -2162323065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 4*z + 3*z**4 + (-3*z**2 + 3*z**2 - z**2)*(-13*z**2 - 7*z**2 - 2*z**2) + 0*z**4 + z**4 - 4*z**4.\nAnswer: 22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 7:44 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 31.35668 minutes?\nAnswer: 1881400800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22632983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*g, 5*i - 5*g - 21 = -1. Let f be (1\/i)\/((-7)\/2). Which is smaller: f or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = -64. Suppose -3*l - l = 0. Suppose 4*b - 6*b + 60 = l. What is the remainder when b is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 82970. Suppose -9*f - q = 170966. Round f to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*s - 14 = 4*s, -2*u + 5*s = -23. Let i be (6\/(-4) - u)\/1. Which is the third smallest value? (a) i (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + 1*sqrt(1053)*-4 + (sqrt(1053) + -1)*3)**2.\nAnswer: 378*sqrt(13) + 3306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69 and -2.1997358.\nAnswer: -71.1997358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 16*l + 11*l + 18*l.\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266035 divided by -24185.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let a = z - -2.9. Let x be (-4)\/6*(-30)\/(-4). What is the second smallest value in -1\/4, a, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-4)\/(-48)*22. Put p, -5\/7, 3 in descending order.\nAnswer: 3, p, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -11. What is the remainder when 39 is divided by -3 - (-20 + h)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 18*c + 12. Calculate the remainder when y(-11) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42613891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -59*z**3 - 5*z**2 + 66*z - 3. Let c(f) = 58*f**3 + 6*f**2 - 65*f + 4. Let p(o) = -3*c(o) - 4*j(o). What is the second derivative of p(k) wrt k?\nAnswer: 372*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217\/4 - 53. Which is the fourth biggest value? (a) l (b) 9 (c) 5 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138434407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 41. Let z(x) = x**3 - 2*x**2 + 2*x + 2. What is z(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35333847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.922 + 0.078. Let l = 39.34656 - -0.69044. Let v = y - l. What is v rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*k + 32*k + 22*k)*(-7*k + 0*k + 0*k)*(1 + 2*k - 1 + (0 - 2 + 3)*(4*k - 2*k - 3*k) - 2 + 2 - 2*k)*(0 + 0 + 2*k).\nAnswer: 252*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 832?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 896 = 2*p, -4*p + 6*q = 2*q - 1732. List the prime factors of p.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1188, -1193, -1208, -1239, -1292?\n\"Answer: -l**3 + l**2 - l - 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1733 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 609482319914 - -0.2.\nAnswer: 609482319914.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*o + 6*o. Suppose 10*u - o*u = 50. Suppose -4*w + 9 = -11. What is the smallest common multiple of w and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 1, r: 2, i: 1}. Give prob of sequence rry.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 841120, 841121, 841122?\nAnswer: 841123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 41*n**2 + 220*n - 54. What is the units digit of t(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-51) + 461\/(-17). Let g = r + 27. Suppose -2*b + 16 = 2*p, 4*p = 5*b - g*b + 32. Solve c + p = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 90. Let u be (-6)\/(-8) + (-15)\/(-30). Put d, u, 2, 5\/3 in descending order.\nAnswer: 2, 5\/3, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {z: 3, w: 2, k: 2, d: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5516 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = p, 2*d = d - 2*p + 4. Let z = -1181 - -1193. Sort z, 0, d.\nAnswer: 0, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25547036?\nAnswer: 2, 211, 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(252)\/(sqrt(12) + (sqrt(12) - 2*sqrt(300))))\/(((sqrt(315) - sqrt(35))*-3)\/sqrt(5)).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81\/9 + 4 + 2568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1741508 (base 9) to base 6.\nAnswer: -32500442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8923290 greater than -8923291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1943889425 and 9655?\nAnswer: 9655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 735 - 611. Calculate the highest common factor of 93 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/16 and 139\/59526.\nAnswer: 476208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - 4, -3*w + 11 = -v. Suppose 0 = -w*a - 0*a + 32. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*-1*(-4)\/24\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4402104 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n - 209. Let p(x) = 5*x - 104. Let a(k) = -3*j(k) + 5*p(k). Calculate the remainder when a(9) is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26964?\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-6)*3*4. Let t = q - -19. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 2*l - 2. Let m be v(3). Suppose -3*h + 2 = -m. Is 0.2 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/14*1\/(78\/(-2002)*-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (61\/(-122))\/(((-3)\/(-2))\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 19*r - 14. Let u be k(-18). Let 2\/7*h**2 + 2\/7*h**u + 0*h + 0 - 4\/7*h**3 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/20173 + -40325\/141211. What is the nearest to 1 in 2, y, -0.0201, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190 - 181. Suppose w = q - 88, 376 = -5*q + f*q + 4*w. What is the highest common factor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/3 at least 2757209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -18*z**2 + 22230*z - 132734. Determine r(1229).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 - 3. Let n = 0.82 - 52.82. Let i = 54 + n. Which is the closest to -6? (a) 0.2 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 3712?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 12 = -3*g. Is -1*4\/g*419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v**2 - 18*v + 9. Let k(d) = -d**2 + 1. Let s(n) = -6*k(n) - y(n). Suppose s(j) = 0. What is j?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 96 + 201. Let m = v + -34. What is the greatest common factor of 26 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -117 + 121 - i + 3*i. What is y(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 692430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m - 8 = 0. Let r = 10 - -62. Suppose 0 = -4*z - m*q + 120, -5*q + 0*q - r = -2*z. Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q - 9. Give v(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 853.3964 tonnes?\nAnswer: 853396400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*g + 95822 + 106761 - 9383. List the prime factors of g.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*g - 4*g. Let l(y) = y + 16. Let z(n) = -1. Let q(t) = g*l(t) + 3*z(t). Let h be q(-10). Which is the third biggest value? (a) 4 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.667 + -341267133?\nAnswer: -341267132.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -31*x. Let k(a) = -2*a**2 + 3. Let b(p) = -4*p**2 + 7. Let w(h) = 3*h**2 - 30*h + 3. Let t be w(10). Let o(q) = t*b(q) - 7*k(q). Determine o(g(i)).\nAnswer: 1922*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 1. Let h be ((2 - -1) + 1)*2. Suppose 3*c + 13 = 2*l, h + 1 = -3*c + 3*l. Is j(c) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, i: 3, a: 2, d: 8}. What is prob of sequence ai?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Suppose b = 3*p - g*b - 8, -5*p + 10 = -5*b. Let k be p*8\/(-6) - -8. Solve -l + 4*h = 2*h + 11, k*l - 4*h = -24 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcgqgjiggjjgxxc. Give prob of picking 1 x and 2 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d - 20. Determine g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 3. Let f be j(-4). Suppose -2*b + u = -7, b = -2*b - u + f. Find the third derivative of 2*y**4 + y**2 - 2*y**b - 2*y**5 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 155823075*v**3 + 180492901.\nAnswer: 467469225*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-6) + 2\/(-3). Let g(m) = -3*m + 2*m + 9 - 2*m**2 + m**3 - 28 + 17. Let l be g(u). Solve 0 = 2*v - 2*q - 8, q + 8 = v - l*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/11)*u)**43)**(1\/63) assuming u is positive.\nAnswer: u**(860\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.64 + 34. What is b rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 93\/(-93) - (-3)\/(-2)*-4. Solve -a + q*a = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 b when three letters picked without replacement from bmmmmbmmmmmmm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 11*w - 14. Let u be f(-9). Let y(h) = 56*h**2 + 4*h - 5. Is y(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/504 and -149\/17304.\nAnswer: 51912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*v - 1\/3*v**2 - 1\/3.\nAnswer: -(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l - 2. Let x be g(3). Let s be ((-18)\/(-10))\/((-30)\/(-50)). Factor -2*u**5 + x - 4*u**2 + 3*u + 3*u**4 - 3*u**4 - 9*u + 8*u**s.\nAnswer: -2*(u - 1)**3*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-281 + 135 + 117 - 2*u)*(6 - 1 - 2).\nAnswer: -6*u - 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-72)*(8 - 0). Solve -10 = -2*l - 3*c, 10 = n*c + 3*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 + 0 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(6)\/sqrt(27))**2.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34900 and 25950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36278 is divided by 7246?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15568983.\nAnswer: 3, 191, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 348, 678, 1006, 1332?\n\"Answer: -i**2 + 333*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31070, -31059, -31048, -31037?\n\"Answer: 11*i - 31081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -21. Suppose 25 = 5*a + 5*p, 4*p + 5 = -s*a + a. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -19382.8353.\nAnswer: 19382.9353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by 4\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142074 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -61. Let t = o + -9. Let c be 2\/(-6) - t\/6. Calculate the highest common divisor of c and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604397, 2417607, 5439613, 9670409, 15109989, 21758347?\nAnswer: 29615477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 8. Let o be z(7). Suppose o*q + 8 = 24*q. Suppose -6*t + 11*t = 0. Solve -q*h + 2 = -t*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127996286, 127996288, 127996290, 127996292, 127996294?\nAnswer: 127996296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -504*w + 25540. Calculate u(51).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.4, 400 in increasing order.\nAnswer: -3\/2, -0.4, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**5\/5 - 36858*m**4\/5 + 257904*m**3\/5 - 552582*m**2\/5 + 331533*m\/5 = 0.\nAnswer: 0, 1, 3, 12279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*o + 1)*(3 - 2 + 0) - 2*o + o + 2*o + (3*o - o - o)*(4 + 1 - 4) + 6*o - o - 3*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.685 + 8.8. Round w to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 9*d + 42 - d - 3*d.\nAnswer: 9*d + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 - 61. Suppose 2*q - 138 = -5*i, -i = -33*q + 31*q + 102. What is the greatest common factor of o and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 0*w**2 - w + w**2 + 2*w**3 + 0*w**3 + 66. Let d be s(0). Let g = -36 + d. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -784 - -33708\/43. Let d = i - -192\/215. Which is the smallest value? (a) 0.2 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 + 16*v + 12. Let f be z(-3). Solve y + 1 = -f*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**2. Let j(v) = 1901*v. What is l(j(m))?\nAnswer: 18069005*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**5 - m**4 + m**3 - 1. Let s(w) = 7*w**6 - 6*w**5 - w**4 - 6*w**3 - 3*w**2 + 6. Let n(l) = s(l) + 6*u(l). Find the third derivative of n(f) wrt f.\nAnswer: 840*f**3 - 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + b - b)*(567*b - 452*b - 2977*b) to the form i*b**2 + l*b + n and give i.\nAnswer: 2862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 8*c = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/20 and 25\/1250936.\nAnswer: 6254680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -36*o**3 - 2*o**2 + 84*o + 3. Calculate c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*u + 1986, -8*y + 3301 = 5*u - 12*y. Let l = u - 231. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014324789 to six decimal places.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5530174, -5530173, -5530172, -5530171, -5530170, -5530169?\n\"Answer: x - 5530175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2. Let z(u) be the first derivative of -8*u**3\/3 + 10. Determine z(i(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-230)\/92)\/(-5*(-25)\/(-20)))\/(2\/(-45))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*k + 11 - 46. Let y(z) be the third derivative of -z**4\/24 - z**3\/3 - 2*z**2. Give y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 182*q**2\/5 - 1752*q + 1152\/5 = 0.\nAnswer: 12\/91, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(110) + sqrt(110))\/(sqrt(10) + sqrt(120)\/(sqrt(12) + sqrt(48))) - (-2 + (-5 + (sqrt(99) + 2 - sqrt(99)))**2).\nAnswer: -9*sqrt(11)\/4 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*b**2 - 97530*b + 66927790.\nAnswer: 32*b - 97530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 244*x**2 + 43 - 242*x**2 - 25.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 at most -701\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.0213 + 1.9787. What is the nearest to -1\/19 in -0.2, 53, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:32 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4485*z + 4. Let s be g(8). Let p = 240731 - 157847. Let k = p - s. Round k to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.49 and 14660.\nAnswer: 21843.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3888 and 52\/81.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 4 = 10*b. Suppose -5*q = 3*p + 64, q + 3*p + 12 = b*p. Let n = q - -17. Solve w + 2 = -n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 169, 745, 1711, 3073, 4837, 7009, 9595, 12601?\n\"Answer: t**3 + 189*t**2 + 2*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*m = 85*m - 233. Suppose -226*v + m*v = -189. Is v < -194\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grgggggvgggrgg. Give prob of sequence rggg.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13\/(q\/(q\/q**5)))**(-22)\/(q**(3\/2)*q**(-5)*q)**(-8) assuming q is positive.\nAnswer: q**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076957203 rounded to five decimal places?\nAnswer: 0.07696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1218276 by 304569.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -22307.24 to the nearest ten.\nAnswer: -22310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/35 and 137\/1770.\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10 - 13*i + 12 + 3*i. Let o be y(-4). Solve -h = -v + 8, h + o = 5*v + 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 12, 0 = 4*y - 5*h. Suppose -5*i - 5 = y. Let q(u) = 2*u**2 - u - u - 3*u**2. Determine q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33345454 + -5144?\nAnswer: 33340310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*c = 22, -2*j = -4*j + 3*c + 2. What is the second derivative of 4*o**j - o**4 - 4*o**4 + 3*o wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46023*c*y**2 + 22*c*y - 105*c + y wrt y.\nAnswer: -92046*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6820488 and 137\/37512684.\nAnswer: 75025368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 0.3, 8, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 15 - 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*t = 5, 2*t = -u + t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -2*h**3\/3 + 5*h**2\/2 - 3*h - 15. Let m be o(1). Solve -5*f - 25 = -5*v, m*v + 5*f + 25 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 72\/20) + 0. Let o = -23\/5 - -24\/5. What is the closest to y in o, 4, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/714 and -74\/9?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219*z**2 - 88*z**6 + 7*z**3 + 450*z**6 - 7*z**3 + 89*z**2 wrt z.\nAnswer: 43440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 - 690*x**2 + 21768*x - 21080 = 0. What is x?\nAnswer: 1, 34, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:59 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 263860\/(-19118))*22\/3\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-16)\/(j**(-15)*j))\/(j**(-6))**(-15) assuming j is positive.\nAnswer: j**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, v: 2, q: 6}. What is prob of picking 1 y and 1 q?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 3*l + 2*l**2 + l + 10*l**3 - 4*l**3 to the form i*l**2 + x + k*l + c*l**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -z + 5*z, -3*z - 2*b = -2. Let w be (-12)\/10*1\/(-5). Let s = w + 13\/50. Is z > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378547 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2409 + 2409. Solve i = -96*j + 77*j - 76 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g. Let k(n) = -n**3 + 3*n**2 - 4*n - 7*n**3 - 1 - 2*n**2. Let p(d) = -4*f(d) - k(d). Let y be (-105)\/(-91) + 2\/(-13). Calculate p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111129437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 3*c**2 - 4*c + 13. Let k be w(3). Suppose 0 = i - k - 5. Solve -i = 3*y + x + 2, -2*y - 4 = x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1193 - 1044 - 927 + 772)*(-6*q + 0*q + 4*q) to the form f + h*q and give h.\nAnswer: 4784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 17 - 24 - 143 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 - 15*o**2 - 70*o + 11. Calculate p(-5).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13 = v + 7, -5*v - 20 = 5*n. Let o = v + 10. Determine w so that -26*w - 4*w**2 + 28*w + 2*w**o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-54)\/(-4) + 1\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201948690?\nAnswer: 2, 5, 120194869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmrrrmrrrm. What is prob of sequence rmrm?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/3)\/((-3565)\/310)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*r - 1 - 2 = 0, 10 = -2*r. Suppose 0 = -3*w - j - q*j - 24, -2*j = 2*w + 12. Let n(k) = -2*k**2 - 5*k - 3. Give n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(500) + sqrt(5))**2 - (-4 + (6*sqrt(5))**2).\nAnswer: 12829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.992 + -0.008. Let i = -9 + 13. What is the second smallest value in d, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4 = 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*u - 22*u + 2*b + 31, 4 = -4*u - 3*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:38 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) + (-2 - 10\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247310 is divided by 164.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -232, 2, 0.02, 1\/13?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 19*j**2 - 13*j - 35. Calculate o(14).\nAnswer: 3507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*b - z, b - 290 = -z - 294. Solve 26*m = b - 28 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4678424.\nAnswer: 2, 73, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 399708787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 1. Let s be k(-7). Let h(f) = 4*f**3 + f**2 + 4. Let q(d) = -d**3 + d**2 - 1. Let b(t) = h(t) + 5*q(t). What is b(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 38. Let q(s) = -s**3 + 2*s**2 - 5*s + 12. Let k be q(2). Let o(c) = -6*c**2 + 12*c**2 + 0*c**2 - 8*c**k. Determine l(o(z)).\nAnswer: 2*z**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183309*h**4 - 1936*h**2 wrt h.\nAnswer: -4399416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*l - 28. Solve 3*h + 8 = -4*f, 0 = -h + 5*f - 3*f + l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/22)\/((-516)\/86)*-4*5\/30.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -631 + 630. Are b and 10\/53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 6, s: 1, w: 8, l: 1}. What is prob of sequence uwlw?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1171?\nAnswer: 2\/1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2664 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 159\/33 - (-6)\/33. Suppose 23 = 3*y + 5*p, u*p - 13 = -3*y + 9. Factor y*i**4 + 349*i**2 - 381*i**2 + 4*i**3 + 2*i**4 - 16*i.\nAnswer: 4*i*(i - 2)*(i + 2)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7172495 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*n - 9 = 0. Is 35 - (2 - (5 - n)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -111010000011111100011001?\nAnswer: -111010000011111100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*g**3*h - 271082*g**3 - 200432*g*h**2 - 36 wrt h.\nAnswer: -14*g**3 - 400864*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/7 + 22*g**2\/7 - 16*g\/7 - 40\/7 = 0.\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/8)\/(1\/6). What is the second biggest value in -1, 4, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/27*-3)\/(60\/45).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 8*m**2 + 10*m - 8. Let h be k(9). Let b = 277 + -2213\/8. Which is greater: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 + 5*m**2 - 2*m - 4. Let x(a) = 2*a**3 - 6*a**2 + 2*a + 5. Suppose -2 = 3*h - 4*h. Suppose -7 - 3 = -h*t. Give t*x(i) + 6*p(i).\nAnswer: -2*i**3 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8*i**(1\/3))\/(i**(1\/5))**47 assuming i is positive.\nAnswer: i**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9455070, -18910149, -28365228, -37820307, -47275386?\nAnswer: -56730465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p + 0*p + 0*p)*(2*p + 0*p + p)*(0 + 3 - 2).\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n, 2*v - 4*n = -8*n + 8. Suppose -4 - v = -2*o. Suppose a - 3 = -4*p + 17, -p - a + 8 = 0. Calculate the smallest common multiple of p and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 11177 = -41003. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (3\/(-1) + 3). Let i(m) = 4*m**n - 9 - m**3 + 11 - 5 + 3*m. Calculate i(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57603 and 13750870?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -377 by -2.\nAnswer: 377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -7, 0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15900\/31005*(-117)\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -173 (base 10) to base 5\nAnswer: -1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -35*x**3\/3 + 41*x - 1. Let z(y) = -5*y**2. Determine d(z(t)).\nAnswer: 350*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-950)\/57 - -15)*(-108)\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 9)\/((-1)\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 468201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 653, 1449, 2765, 4595, 6933, 9773?\n\"Answer: -d**3 + 266*d**2 + 5*d + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*h + 2*c - 0, -4*c = 5*h - 13. Suppose 2*x + 3*x = 3*p + 1159, h*p - 709 = -3*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**4 + 22*r**3 + 5*r**2 - 28. Let m(s) = -13*s**4 - 33*s**3 - 7*s**2 + 41. Let o(g) = -7*k(g) - 5*m(g). What is the derivative of o(l) wrt l?\nAnswer: 8*l**3 + 33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**3 + 54*u**2 + 180*u - 600 = 0?\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((4\/13)\/(-2)). Suppose 92*v - 90*v - 2 = 0. Let m = q + v. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(0 + (-3)\/(-1)). Let u be (-2)\/6 - v\/9. Let p(k) be the second derivative of k**3\/6 - 3*k**2\/2 + 6*k. Determine p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 4*v. Suppose 4*t = 4*a, 4*t + a + 2*a = v. Let w = 15 - t. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 1 y when three letters picked without replacement from iygxrii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -327.803614 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081 + 52.7?\nAnswer: 52.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679616531.\nAnswer: 11, 17, 3634313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-19)\/5 + 172\/86\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3 + 22248*z**2 - 5237611*z + 10386222 = 0.\nAnswer: -22481, 2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20.23 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m - 6. Let r be x(3). Let o be (-2)\/(r\/(-18)*3). Let d be 6 + -6 - (2 - 1)\/o. What is the fourth smallest value in d, 4, 4\/7, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5767 - 5750. Solve 0 = 2*c - 3*u + 10, 3*u = 3*c - 8*c + d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*c**3 - 1601 + 1601.\nAnswer: 106*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10)*1 - (2 - 90). Let n = x - 88. Which is the third biggest value? (a) n (b) 4 (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*y + 2*h, -29 + 25 = -2*y - 3*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c3 (base 16) to base 4.\nAnswer: 33003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-30) + (-3)\/(-9). Determine r so that -2\/7*r - 30\/7*r**3 - 18\/7*r**2 + t + 50\/7*r**4 = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -692198812 divided by -148.\nAnswer: 4677019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(18\/21 + -1). Let d be (60\/14)\/((-1)\/y). Let f = -59\/2 - d. Is f < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -9 + (-2 - 1 - 2). Which is smaller: n or -261\/17?\nAnswer: -261\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.886 - -14.5. What is n rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 j when three letters picked without replacement from djdjddjddddd?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 25. Let p be u(20). Solve -2*n + p*l + 2 = 0, -2*l - 3*l = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 129 - 102*d**2 + 8 + 5 + 12 + d.\nAnswer: -102*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 + 98*o**3 - 2301*o**2\/2 - 1225*o - 625\/2 = 0.\nAnswer: -1\/2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 432*t**2 + 340*t - 4911. Determine j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17815260*t**2 - 12198748 wrt t?\nAnswer: 35630520*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.00205 + -34.87205. Let h = 36 + w. Round h to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 5.1, 2\/7, 10, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 234, 1.3, -5, 3\/4?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -52. Let t(h) = -2 - 5*h**2 - 382*h + 1 - 2*h**3 + 378*h. What is the units digit of t(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12816.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 3, u: 4}. Give prob of picking 4 u.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -s - 4*s + 1917, -s - 5*n + 401 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 18}. Give prob of sequence hch.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21, -164, -413, -774, -1253, -1856, -2589?\n\"Answer: -j**3 - 47*j**2 + 5*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 282*v**4 + 56*v**4 - 53*v**4 + (0*v - 3*v + 5*v)*(-4*v + 4*v + 2*v**3).\nAnswer: 289*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2944773\/16 + -183980. Let d = b + -277\/4. Let s = -616\/17 - -2897\/102. What is the common denominator of s and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 112513313626 and -1.721.\nAnswer: 112513313624.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*b**3 - 165*b**2 + 96*b + 12 = 0 for b.\nAnswer: -2\/19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30 + -29 + 30\/6 + -5. Which is the nearest to -1\/6? (a) -2\/5 (b) 0.67 (c) q (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l + 8. Suppose 0 = 4*h - 0*h - 4. Let x(f) = 5153*f - 2 - 1 + 0 + 2 - 5152*f. Calculate h*w(p) + 6*x(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1453 is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joojojojovoovjjj. What is prob of sequence vojo?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1 + 3)*(-24 + 23)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2 + 8. Suppose r*j - 3*j = -3. Solve j*d = -d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 18*i**2 - 66*i + 13. Let p be g(13). Sort -6, 4, 1, p, -3 in ascending order.\nAnswer: -6, -3, p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58314.\nAnswer: 2, 3, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/(12\/192*-12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6*11\/((-22)\/12). Suppose 3*a - 2445 = 5*f, -z*a + f + f = -3260. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -671, -2678, -6023, -10706, -16727?\nAnswer: -24086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x - 112. Let k be x\/(-16) + 1\/4. Let y = -9 - -13. Put y, -4, k in decreasing order.\nAnswer: y, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 15*s**2 + 24*s**2 - 7*s**2 + 2*s + s**2 - 2*s + (-4*s + 3*s + 3*s)*(-2*s + 3 - 3) + 4*s**2 - 6*s**2 + s**2.\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-6)*(189\/4)\/7. Let z(r) = -r**3 + 3*r**2 + 6*r - 3. Let u be z(4). Solve 4*k = -o - 24, u*k + 27 = -5*o - i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - 4.6. Let c be (58\/(-28) + 2)*2. Put i, -2\/9, c in increasing order.\nAnswer: i, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58752*q**4 + 1824*q**3 - 186878*q**2\/3 + 5186*q\/3 - 12 = 0. What is q?\nAnswer: -18\/17, 1\/72, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (14 - -25 - 17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + 276*k + 1480 = 0. Calculate k.\nAnswer: -5, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.0006664 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -107*o - 2. Let r(s) be the first derivative of -s**3\/3 - 160. What is r(h(p))?\nAnswer: -11449*p**2 - 428*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895191 to the power of 1\/2, to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 420690*k + 6309900.\nAnswer: 2*(k - 210330)*(k - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1355, -778, -2, -5, 3 in ascending order.\nAnswer: -1355, -778, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -287, 78, -0.4, 0.02 in increasing order.\nAnswer: -287, -0.4, 0.02, 2, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (73 + -95 - -41).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -111134?\nAnswer: 111132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2 - 2266206*u + 2266204 = 0.\nAnswer: 1, 1133102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23390000 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*v = -0*v - 94, -2*v = 10. Let a be c\/65 - (-24)\/10. Suppose 0 = a*k - 5*g - 15, 0 = -k - 7*g + 6*g - 3. Sort k, 0.1, 2, -2 in descending order.\nAnswer: 2, 0.1, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4120.07 and 5?\nAnswer: 20600.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 1. Let b(x) = 13 - 14 - 26*x - 38. Let w(z) = b(z) + 39*i(z). Let y(t) be the third derivative of -t**4\/12 + t**2. Give y(w(h)).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9)\/(r\/r**(-5)))**37)**(1\/52) assuming r is positive.\nAnswer: r**(-555\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*((o*o*o**0\/o*o)\/o)\/o)*o**2)\/(((o\/(o\/o**2)*o)\/o)\/o**2))**(-1\/70) assuming o is positive.\nAnswer: o**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 54. Let i(q) = -49*q. Determine i(c(m)).\nAnswer: 147*m - 2646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 133 = -4*f - 5*r, -5*r - 38 = -3*f. What is the remainder when (1140\/(-266))\/(-2 + (-159)\/(-84)) is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*o, -24*k + 7*k + 12*k + 6*o = -69 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1088698 = -66*z + 567176. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from ssssqssssqqsqqsqqqqs?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*z**5\/19 + 3398*z**4\/19 - 15954*z**3\/19 + 22122*z**2\/19 - 9164*z\/19 - 240\/19 = 0. Calculate z.\nAnswer: -2\/81, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.4. Let t = 4.4 + -4. What is the third smallest value in -0.2, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 23. Let z = -5 - x. Let q = -11 + z. What is the nearest to q in 0.4, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2236161, 2236052, 2235945, 2235840, 2235737, 2235636, 2235537?\nAnswer: 2235440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/753855 and -107\/60.\nAnswer: 3015420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/5 - 122*u**4\/5 + 276*u**3 = 0. Calculate u.\nAnswer: 0, 15, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11494 from 6.\nAnswer: 11500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - q + 21, 0*m = -3*m + 2*q + 10. Suppose -3*l + 1 + 29 = 0. Calculate the highest common factor of l and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 + 256*x**2 + 252*x + 102. What is g(-63)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 533958515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84503, -169004, -253505, -338006?\nAnswer: -422507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -662*c + 54*c**2 + 662*c in the form o*c**2 + m + i*c and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -359 + 522. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - j = 2197 + 50, -2*j = 5*v - 5604. Calculate the highest common factor of v and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**(-2\/5)\/v)\/v)\/v)\/v*v)\/(v**(2\/7)*v)*((v**(2\/9)\/v)\/v)**(25\/2))\/((v**2)**(-3\/4))**22 assuming v is positive.\nAnswer: v**(1919\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {v: 1, e: 2, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18891.\nAnswer: 3, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/8 + 5*z**4\/8 - 17*z**3\/8 - 13*z**2\/8 + 13*z\/2 - 7\/2 = 0. Calculate z.\nAnswer: -7, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40818 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34468 = -10129*l - 1016981 for l.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23547.81 months in decades?\nAnswer: 196.23175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14850)\/(-378) - 4\/14. Is 489983\/g - 8\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 271?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 4:01 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-7)*(-21)\/6*0. Suppose 0*n + 4*n - 8 = p. Suppose -4*w + 7*w = 27. Sort n, 5, w in increasing order.\nAnswer: n, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let m(n) = 8*n**2 - 2*n. Let f = -239 + 240. Calculate f*m(x) + 2*s(x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2365\/14 + 169. Let r(b) be the first derivative of -f*b**4 + 1\/7*b**2 + 1 + 2\/7*b - 2\/21*b**3. Factor r(n).\nAnswer: -2*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/205 and 41\/30.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*u - 78 = 0, 5*u - 58 + 185 = 4*d. Let o = -753153 + 753181. Calculate the highest common factor of d and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18287, 43806, 69323, 94838?\n\"Answer: -v**2 + 25522*v - 7234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from vwweecwwwcww?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -992*t + 40. Let v(n) = -33233*n + 1336. Let c(o) = -167*d(o) + 5*v(o). Let h(r) be the second derivative of -r**3\/3 - 19*r. Give h(c(y)).\nAnswer: 1002*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2 - 660954*f + 109215047529 = 0.\nAnswer: 330477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**(2\/157)\/(b**(-14)*((b\/((b*b**(-8\/5)*b)\/b))\/b)\/b) assuming b is positive.\nAnswer: b**(11354\/785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + w**3 - w**3 + (-3 + 6 - 1)*(4*w**3 - 4*w**3 + w - 2*w**4).\nAnswer: -3*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437 and 332557.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42845726 and 3895066?\nAnswer: 42845726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-50))\/((-9)\/10). Let i = 7\/30 + k. Let c = 12 + -11.9. What is the closest to i in -1, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 14 = 5*p + 5*s, -2*s - 6 = 0. Let w = 10 - 7. Suppose -45 = -d - 4*n, 0 = -3*d - 2*d - w*n + 140. What is the remainder when d is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4839476.\nAnswer: 2, 23, 41, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -39*l**3 - 1. Determine z(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.427 and -0.2.\nAnswer: 1.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -33775700 to the nearest 100000.\nAnswer: -33800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b - 56 + 56 + b + 3*b - 2*b + 2*b - 5*b + b + (-6 + 4 + 4)*(-2 + 2 - 2*b) + (4 + 0 - 24)*(-4*b - b + 13*b) as g*b + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*(sqrt(126) - -1*sqrt(126)) + sqrt(126)))\/(((-6*(sqrt(72) + -3*sqrt(72)) + sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(4)).\nAnswer: -42*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229.9 - 240. Let z = p + 5.1. Which is the nearest to 2? (a) -3 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*t**3 - 6*t**6 - 24 - 17*t**6 - 12*t**3 - t**2 wrt t?\nAnswer: -2760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 778 - 783. What is the nearest to -1 in 0.1, u, 28\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)*y**6)\/((y\/((y*y\/y**(-2))\/y*y))\/(y**(3\/7)*y)) assuming y is positive.\nAnswer: y**(139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/25530 and -31\/925?\nAnswer: 127650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/144*9*2. Put -2, -78, -5, m in ascending order.\nAnswer: -78, -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60801 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 4 - 203*k + 27 + 196*k - 9.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67.721236346 - 1.578791754. Let f = 958 - 888.7. Let s = f + w. Round s to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-2\/5)*t*t*t**0 assuming t is positive.\nAnswer: t**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 4, x: 4, y: 1, g: 1}. Give prob of sequence xxw.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 20083?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-6)\/60)\/(240\/(-1950))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11500 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -2. Let t(v) = v - 1. Suppose -3*o + 6 = 3. Let f(s) = -o + 0 - 2 + 5*s. Calculate x*t(i) + f(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522440, -2089787, -4702008, -8359097, -13061048, -18807855?\nAnswer: -25599512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 2, q: 1, g: 2, s: 1, i: 1}. Give prob of sequence ie.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**3 + a**2 - a - 3. Determine u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 321 + -288. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 7) to base 5.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21063 at most 20500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 103467?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 6*i**2 - 8. Let b be z(6). Let f(w) = w**2 + 6*w - 4. List the prime factors of f(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*g + 13 = 0, 0 = -p - 3*g + 7*g - 17. Suppose 2 = -2*x - 2*b - 0, 0 = p*b + 9. What is the least common multiple of 1 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -20\/13*k**2 - 50\/13*k - 2\/13*k**3 + 0 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 650\/(-234) - (-2)\/(-9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6424*a*p*t**3 - 247*a*t + 198*a + 1049*p*t**5 - 11*p*t + 2*t**2 wrt t?\nAnswer: -38544*a*p + 62940*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46177 and 436789.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, 5, 26, 63, 122, 209?\n\"Answer: u**3 - u**2 + 7*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81.5 + -82. Which is the second biggest value? (a) -2\/3 (b) v (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 79\/((-2)\/(4\/246)). Let t be (11\/22)\/(123\/(-6)). Let b = d + t. Which is greater: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*g)*(0 - 2 + 4) + (-2 + 0 - 1)*(3*g + 4 - 4) - 3*g - 2*g + 9*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5\/5 - 249636*d**4\/5 - 2246844*d**3\/5 - 5242696*d**2\/5 - 4743414*d\/5 - 1497924\/5 = 0.\nAnswer: -6, -1, 124827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(486) + -2*sqrt(486)))\/(sqrt(72)*2 - (sqrt(2) + (sqrt(54)\/sqrt(3) - sqrt(18))))*-5)**2.\nAnswer: 24300\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 z, and 1 l when four letters picked without replacement from pzzeepxlzze.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 80, 87, 94, 101?\n\"Answer: 7*v + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-1 + 3 + 0)*(4*u - 3*u - 2*u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 28. Let h = -21 + x. Calculate the highest common divisor of h and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/336 and -35\/33?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4\/(-26) - 2097*102\/(-117)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 293 = 2*d, -14*d - 4*k = -17*d + 439. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321930 - 1223546 = -23*g + 10772517. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/5816 and -35\/8724?\nAnswer: 17448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/147 and -115\/5684.\nAnswer: 17052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 6*b**2 - 7*b + 2. Suppose -28 = -3*z + z. Suppose -z - 8 = 3*n - o, -n + 4*o = 11. Let q be h(n). Solve 0*x + 2 = -q*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200 - -227. Suppose 24 + 84 = w*g. Solve -8 = 2*i - 4*u, 5*u + 0 - 4 = g*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 0 + (30 - -3 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4739.56 weeks in microseconds?\nAnswer: 2866485888000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0.3. Let f = d + 0.1. Let u = 0.0613 - 0.0613. Which is the closest to u? (a) -0.4 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v + 252 + 92 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.57? (a) 4\/3 (b) -1\/6 (c) 4 (d) 1\/7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnn when three letters picked without replacement from {h: 5, n: 11}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 19 + 30)*(-4*d + 2*d + d).\nAnswer: -45*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65, 82, 99?\n\"Answer: 17*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/6 (b) 2\/17 (c) -15.3 (d) -176 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 7) to base 5.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**7\/70 - c**5\/12 + 3*c**2\/2 + 1. Let i(w) be the second derivative of m(w). What is the third derivative of i(r) wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3461 - 2081. Suppose -y = 9*y - q. Suppose 78*j = 80*j - y. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/17 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1015*j + 1128*j - 15420418 = 11709187. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -15834\/19, -0.5, -2.\nAnswer: -15834\/19, -4, -2, -0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174490?\nAnswer: 2, 5, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -380 - -372. Which is greater: r or -22?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62896*s**2 - 3*s - 16747 wrt s.\nAnswer: -125792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15550000*u. Let q be i(2). What is q rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2296 and 0.38.\nAnswer: -872.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 10*f - 12*f - 2516, 5*o - 3145 = 5*f. Let d = o - 632. Is -19\/6 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juj when three letters picked without replacement from jiuiuuuujiijuiiijuji?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -64. Let t = s + -46. Suppose -2*g + 17600000 = -t*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*y - 8, 0 = -5*y - k - 7 + 20. Is (y - -6)\/(-3)*-1 - -56 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*d*o**2 + 48*a**2*d*o - 4*a**2*d - 2*a**2*o**3 + a**2*o**2 + 18276*a*d*o**4 + 2*a*d*o**2 + o**4 wrt o.\nAnswer: -12*a**2 + 438624*a*d*o + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - -70 - (-2 - -22) - -33.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 46 = 4*n + 4*g, 3*n - 5*g - 54 = 0. Let t(d) = 23*d**2 - 11 + 3 - 9*d**2 - 13*d - 13*d**2. Give t(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 963799\/24 - 40163. Calculate the common denominator of 3\/9 + 55\/96 and u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 6*g + r - 122, 3*r = 3*g - 396. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6652 or 1?\nAnswer: 1\/6652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 334818 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -536456 divided by -268228\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -35 + 21 + (-6 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:57 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3347.7 + 3348. Which is the third biggest value? (a) f (b) 0.4 (c) 2\/11 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80550550291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2530 by 506.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1020 and -39\/47470.\nAnswer: 4841940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -439616 - -25058110\/57. Let g = -2 + 1.8. Let y = 0.7 + g. Which is the biggest value? (a) u (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:17 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 72422.892 to the nearest one hundred.\nAnswer: 72400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1324 + 1340. Put -3, 11, s in ascending order.\nAnswer: -3, 11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:40 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.492 - -13.492. What is the closest to h in 1, 3, 11\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:34 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422309889 to the nearest integer?\nAnswer: 20550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j)\/j*j**(-5)*j*j\/(j*j**(-1\/3)*j)*j*j\/j**(-1\/3)*((j**(2\/5))**37)**(-11) assuming j is positive.\nAnswer: j**(-2567\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let y(r) be the second derivative of r**6\/360 - r**3\/2 - 6*r. Let w(l) be the second derivative of y(l). Calculate w(c(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -145*j - 1839. What is the thousands digit of l(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16102, -32231, -48354, -64465, -80558?\nAnswer: -96627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -34.9373. Let h = i - -1.3627. Does 1 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80211*f**3 - 105793*f**2 wrt f.\nAnswer: 481266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44.1 + 44.4. Sort -0.4, b, 50, -0.09 in descending order.\nAnswer: 50, b, -0.09, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.051037214 rounded to 4 decimal places?\nAnswer: -3.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y - 1. What is the remainder when 1*3*(-27)\/(-3) is divided by j(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 6*m + 15. Suppose 0 = 25*k - 31*k + 108. Calculate the remainder when t(-11) is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1890 * 0.002\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19264 and 1292064.\nAnswer: 18088896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-19\/4)\/(i*i**(2\/109))*(i**13)**(2\/107))**(-34) assuming i is positive.\nAnswer: i**(4382073\/23326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.6895 rounded to 2 decimal places?\nAnswer: 21.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9366.725l to millilitres.\nAnswer: 9366725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**4 + 20\/3*g**3 + 12 - 36*g - 6*g**2. Factor i(h).\nAnswer: -4*(h - 3)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h + h. Suppose -3*a - 15 + h = 0. Sort 2, a, -2.\nAnswer: a, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 1, v: 2, m: 1}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - -11?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 7, -3, 3, 9 in decreasing order.\nAnswer: 10, 9, 7, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1327\/50 - 76\/25. Suppose 0 = -k + 1947 - 292. Let w = 14935\/9 - k. Find the common denominator of x and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -5, -48, 0 in increasing order.\nAnswer: -48, -9, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 bigger than 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 0, -n - 23 + 26 = -2*g. Solve 0 = -t + 3 + n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-189))\/(3 + (-110)\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:06 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) + 21\/28. Let k(r) = -3*r**3 - 4*r + 6. Let t be k(-4). Let u = t - 2784\/13. Which is the third smallest value? (a) z (b) u (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -70. Let i = 52 - j. Suppose 5*x - 155 = 5*c, i*x - 32 = 3*c + 30. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 9238 - 12272341629.\nAnswer: -12272332391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 24 + (-1 - 3) + 5 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3180*a - 5312 = 2848*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771*d**2 + 510*d + 459*d**3 + 951*d**2 + 3*d**5 + 81*d**4 - 825*d**2 - 6*d**4 = 0. What is d?\nAnswer: -17, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 6 + 1 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5315 (base 7) in base 6?\nAnswer: -12402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 20 = -15*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5640100 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1148341 or 5741704\/5?\nAnswer: 1148341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 0 - 1\/180*h**6 + 1\/6*h**3 + 0*h**4 + 0*h**2 + h + 0*h**5. Let f(d) be the second derivative of x(d). Determine f(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 0.04 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5123894 and 6003.\nAnswer: 46115046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggs when three letters picked without replacement from sggjgsjssg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/112*i**8 + 17\/280*i**7 + 0 - 64*i**2 + 11\/40*i**5 - 1\/4*i**4 + 0*i + 1\/8*i**3 - 7\/40*i**6. Solve g(y) = 0 for y.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -3 - 11 - (3 + 6 - 2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1135*u**3 + u**2 + 13. Let w(y) = -284*y**3 - 3. Let o(a) = 2*b(a) + 9*w(a). Suppose -h = h + 3*r + 8, 0 = -r - 2. Is o(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 21. Let f = y + 42. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 32.0076. What is i rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/(42185\/708))\/((-3)\/(-50)*1)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/12289?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2893 - 948. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14859, -30105, -45319, -60483, -75579, -90589, -105495, -120279?\nAnswer: -134923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3015122, -12060448, -27135986, -48241730, -75377674?\nAnswer: -108543812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 4*g**2 - g + 4. Let t = 254 - 251. What is a(t)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(119) - (sqrt(119) - (sqrt(119)*2 + sqrt(119))))\/sqrt(7) + (-6*(sqrt(17) + 0) - sqrt(17)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -16. Suppose h*c = 4*c + 4, -b + 4 = -3*c. Suppose 2*i - 490 = -5*i. What is the greatest common factor of i and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22 + -1 + (-14)\/(-21)*3. Suppose 3*w - 779 = -4*a, 0 = 5*w + a + 328 - 1598. Calculate the greatest common factor of g and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 52, 51, 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -18199.81212 to the nearest 100.\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r - r)*(3*r**2 + 3*r**2 - 7*r**2)*(0*r + 36*r + 428*r).\nAnswer: 1392*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251 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: What is the remainder when 196891132 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5065)\/(-4) - 4\/16. Is o\/(-4)*(7 + 184\/(-24)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/546 and 61\/18?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91))\/sqrt(7) + 4*-1*sqrt(13).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = -25. Suppose -99 = -n*g - 24. Solve -2*w = w - g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/(4\/40)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*q, -4*q + 0 = -5*l + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 3*h - 1 + 10, 4*h = -5*g - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8875552 and 71004416?\nAnswer: 71004416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 1\/60*q**5 + 0 + 9*q - 2\/3*q**3 + 7\/2*q**2 + 0*q**4. Let k(c) be the first derivative of r(c). Factor k(f).\nAnswer: (f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 606, 965, 1330, 1701, 2078, 2461?\n\"Answer: 3*f**2 + 350*f + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*i - 501, -78*n + 134 = i - 76*n. What is the remainder when i is divided by 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 54. Sort w, -1, -0.04, 2.\nAnswer: w, -1, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2939*s + 16524 = 1549*s + 1543*s for s.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -17*a + 63. Is 16 a factor of m(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + -5)*(6 + 168). What is h rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 2*w + 6 + 7 - 1 to the form y + n*w and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {y: 3, p: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3446 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:26 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 8*l - 3. Let z be n(4). Suppose -z*h + 36 = -3. Suppose -5*v + 1847 = 4*o, -h*v + 2*o - 8 = -1103. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 - 66. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24487089 to the nearest integer?\nAnswer: 4948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 2*h - 3*h. Is 44 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2432, 9738, 21916, 38966, 60888?\n\"Answer: 2436*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -23. Which is the second biggest value? (a) l (b) 116 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(96\/(-26)) + -1*3\/(-18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1872))*2 - sqrt(1872)) + 2.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 17*m**2 - 23*m - 14. List the prime factors of v(-18).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-4\/5)*(k**(-3)*k*k)\/k)**(28\/5)*((k**(-2)*k)\/k*k)**19*k**(2\/17)*k*k**2*k assuming k is positive.\nAnswer: k**(-4421\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20076968 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1505 + -1500. Let m = 0.6 - 1. Suppose -5*v + 2*z + 16 = 0, 2*z - z = 2*v - 7. What is the closest to 0 in i, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 40, 56, 70, 82?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 12*k + 49. Give y(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.45012nm to centimeters.\nAnswer: 0.000000745012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(3\/10))\/t)\/t**(1\/5)*((t\/t**2*t*t*t)\/t)\/(t\/(t\/(((t**(1\/6)*t*t)\/t)\/t))))\/((t\/(t**(-3)\/t)*t)**(3\/5))**8 assuming t is positive.\nAnswer: t**(-418\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 8 = 13*n. Solve 4*i - 4*f = 4, 4*f + 35 - n = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 2*g + 7*g + 3*g**2 + 7 - g**2. Let o be j(-8). Let d be 3\/((-6)\/(-2)) + o. What is the nearest to d in -0.5, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.21815*0.5.\nAnswer: -0.609075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*k - 30 + 30 + 641*k - 368*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 65472 = -103177 - 116015. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4984)\/880 + 40\/50 and (2740\/336)\/(-5) - (-4)\/6.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 41*t**2 + 44*t + 266. Calculate x(-20).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/5 - 2*u**3 + 8*u\/5 = 0 for u.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddvdvdv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03189 to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 12*c - 3*c**3 + 2*c**4 + 12 + c**2 + c**4 - 6*c**2 - 4*c**2 - 3*c**3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9291 and 912?\nAnswer: 148656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zznhzhzzzz. What is prob of picking 1 h and 1 z?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4*i)*(-1 - 1 + 1) + 125*i - 88*i - 161*i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15) - 23\/((-11385)\/(-189)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -19*b**3 - 17*b**2 + 22*b + 50. Let k(d) = -7*d**3 - 6*d**2 + 8*d + 17. Let x(a) = 11*k(a) - 4*s(a). Determine x(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(320) + -1 - (sqrt(320) + -1*1*sqrt(320)))*6)**2.\nAnswer: -1152*sqrt(5) + 46116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*h - 2*h + 127*h + (2 - 2 - 1)*(4 - 4 - h) - 2*h + 2*h - 2*h)*(4 + 1 - 3) - 17*h + 5*h - 51*h.\nAnswer: 49*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 - 2. Let d(j) = 2*j**2 - 3 - 4*j**2 - 4*j**2. Let o = -2 - 3. Calculate o*v(r) + 4*d(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553573 + 553573 - 28*d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 8 + 1 + 2*s - 4*s. Let w be 2*(3 - 4) + -1. Let x = w + -1. Let l(q) = -6*q - 6. What is x*h(b) + 5*l(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 - 174. Let k = h - -53. Solve k*b - 5*c + 15 = -2*c, -c - 5 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28987 times -0.2?\nAnswer: 5797.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + t**2 + t + 9. Let n be (-4 + 5 - 1)\/(-2). What is r(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3071207492685 and -1.\nAnswer: -3071207492686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (23 - 25 - (-3 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1058575676 rounded to three dps?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 553 divided by -1170398.\nAnswer: -553\/1170398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3565664 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.23242mg to micrograms.\nAnswer: 66232.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812806 is divided by 3440?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6963*o**2 - 102*o + 48. Let y(b) = 2321*b**2 + 33*b - 16. Let p(i) = -6*c(i) - 17*y(i). Find the second derivative of p(l) wrt l.\nAnswer: 4642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 9 = p. Let h be ((6*-1)\/3)\/(-1). Suppose -2*l = -6 - 4, 4*l - 70 = -h*b. What is the remainder when b is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 35. Calculate the remainder when l is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 23*b - 22. Let s be n(24). Suppose 4*i - 15 = -c, s*i - 60 = -4*c + 6*i. Let a(q) = q**2 - 5*q + 9. What is the units digit of a(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -y - 8. Solve -n - 2 = y*m, -4*n + 23 = -m + n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -254.80448?\nAnswer: -254.80448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 402 and -0.07326103726?\nAnswer: 402.07326103726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -56. Let z = l + -71. Let n = z - -19.5. What is n rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 4*r**2 + 274*r - 49. What is d(0)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 8) to base 2.\nAnswer: -1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25890, 51799, 77706, 103611?\nAnswer: 129514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 456378 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4912000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4513 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 412611300 rounded to the nearest one million?\nAnswer: 413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -67 + (-72 - -83 - (-1 + (4 - -7)))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*p**2 + 20995*p + 15735 = 0. Calculate p.\nAnswer: -1049, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, z: 4}. Give prob of picking 3 z and 1 s.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*v - 4*v. Suppose -v = -3*d + 5*d. Calculate the common denominator of -3\/11 and 50\/(-42) + d + -1.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/24*8\/3. What is the third derivative of 13*w**2 - 27*w**2 + 8*w**q + 7*w**2 + 42*w**6 + 9*w wrt w?\nAnswer: 5040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(q + 0*q + 5*q)*(5*q - 3*q - q)*((2 - 3 - 1 + (-2 - 1 - 3)*(-1 + 4 - 1))*(-2*q**3 - 2 + 2) + 0*q**3 - 4*q**3 + 2*q**3).\nAnswer: 156*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(78))\/sqrt(6)*1.\nAnswer: -3*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -8.1951884855.\nAnswer: -3.1951884855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11 and -490?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in -4, 2\/9, -164, 2\/7, -0.594, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69, -45, -9, 45, 123, 231, 375, 561?\n\"Answer: i**3 + 17*i - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 820209.8 litres to millilitres.\nAnswer: 820209800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.585330985 + -5.\nAnswer: -8.585330985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 12:31 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 4 - (2 + 0)) + 170 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(475) - (2 + sqrt(475))) - (-1 + sqrt(475))*6.\nAnswer: -30*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 2*o + 1. Let c(u) = 10*u**2 + 7*u - 7. Let t(y) = -c(y) - 4*l(y). Let a(j) = 6*j**2 - 3*j - 9. Give 2*a(h) + 7*t(h).\nAnswer: -2*h**2 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*24\/12*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1479100?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-6))\/((-7)\/(10 + 11)). Let k = -600\/7 + 86. Which is the closest to 0? (a) -0.4 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 1 - 25. Find the third derivative of -6*d**2 - 5*d**l + 36*d**2 + 25*d**4 wrt d.\nAnswer: 480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0. Let s be (1 - -17) + (-2720)\/153. Which is the nearest to y? (a) -5 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -10, 8*a - 5*a - 19 = 5*b. Put a, -5, 12 in increasing order.\nAnswer: -5, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 823158 = 4*p + 823162, -3*p = 5*r - 112 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, 416, 2022, 5304, 10820, 19128, 30786?\nAnswer: 46352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from itgmmmtmmwtwimmwpm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*q + 42*q + 40 = 0. Solve -q*u = 12*r - 15*r + 18, 9 = -3*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -16) + (-991 - -977 - (1 + 28))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 1\/54, 4, -3\/22 in ascending order.\nAnswer: -1, -3\/22, 1\/54, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-15)*(-1 + 0) + 154\/(-84)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18470 is divided by 878?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -15. Solve 6 = 5*j - y, c*y = j - 5*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k + 6, 14 = -2*j - 2*k. Let h(a) = -4*a - 3. Let y be h(j). Calculate the highest common factor of y and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 0 - 1 - 0. Let p be y*(-4)\/(1 - -11). Is p at least -5\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 670? (a) -2 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1502469, -1502695, -1503071, -1503597, -1504273?\nAnswer: -1505099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84630097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332754713 a multiple of 501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8) + 3*4\/(-6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3073592 < -3073588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 3*h - 14. Determine l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 24*r + 31. List the prime factors of n(19).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8513 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x + 14 = -2*y, -4*x + 8 = y. Find the third derivative of 6*c**3 - 10*c**2 - 16*c**4 - 6*c**x + 0*c**2 wrt c.\nAnswer: -384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00772 - 852015909.\nAnswer: -852015908.99228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -330306, -660594, -990868, -1321122, -1651350?\n\"Answer: v**3 + v**2 - 330298*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, -1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggaggagg. What is prob of picking 3 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 = 3*i, -28 = -4*t + 2*i - 16. Sort 9, 0, 2, t in descending order.\nAnswer: 9, t, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 17*c - 14. Let j be x(6). Calculate the greatest common divisor of j and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:59 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y**3 + 5*y**2 + y + 29. Let n(v) = -v**3 - v**2 - 4. Let l(r) = g(r) + 8*n(r). Suppose 0 = 4*h - 7*h + 9. Give l(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*d - 7 - 17, 2*d + 16 = -3*f. Let z = -7 - d. Let o be z - (3*-3)\/3. Which is smaller: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -4 (c) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose -z = -m*z. Let h be (1 - z - 4) + 6. Solve 2 = -h*i - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 15. Let x = 7 - i. Suppose 0 = -4*o + 26 + 34. Sort x, o, -5 in increasing order.\nAnswer: -5, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6544831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v = 3*i + 4, -4*i - 57 = 5*v. Let o = i - 10. Let d = o + 26. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 6*y - 3. Let z be n(3). Which is the third smallest value? (a) -5 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 6, -4*x + y = -2*x - 5. Solve 0 = x*j - 3*u - 9, -9*u + 1 = -2*j - 8*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.7 (b) -1\/8 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7528?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1770)*-379 - 3\/(-5). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 11351730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*o**3 - 24 + 24 - 2*o + (o + 0*o - 2*o)*(0*o**2 + 0*o**2 - o**2) to x*o**2 + a*o**3 + u + q*o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/57 in 11, 2, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -255977*h - 4863568. Calculate k(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907595059?\nAnswer: 83, 157, 146389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4677.\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 20 = 0, -19 = c - 2*d - 2*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9477 and 41796.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*(sqrt(2736) + (sqrt(2736) - (sqrt(2736)*3 + sqrt(2736)))) - sqrt(2736) - (4 + sqrt(2736) + 5))**2*-2)*1 + -2.\nAnswer: -87716 - 1728*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 4*f + 2*f - 1. Is q(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 y when three letters picked without replacement from ppyyppppp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4452*s = -3*k - 4454*s + 4, -5*s = 5*k - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f. Solve f = u + 2*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 1. Let z(f) = -f**2 - f - 1. Let g(r) = 4*r - 20. Let b(t) = -g(t) - z(t). What is the tens digit of b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*u**3 - 39*u**3 - 44*u**3 - 46*u**3 + 156*u**3.\nAnswer: -35*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - (4 + 1)) + (7 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -11, 1, -2, 5 in descending order.\nAnswer: 7, 5, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3917\/3)\/(2\/(-114618)). Let r = 41326451 + a. What is r rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*g - 150. Let j = g - 70. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, f: 1, e: 2}. Give prob of sequence efe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3179*v - 1399*v + 3744*v in the form x + w*v and give w.\nAnswer: 5524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1794*n**2 - 1865 wrt n.\nAnswer: -3588*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r + 2*n = 280, 2*r + 5*n - 133 = 0. Let q = -52 + r. Find m such that -3\/2*m**q + 0 - 1\/3*m = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*a**2 - 22*a**2 - 25*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 38*h**2 - 136*h + 42. What is b(-34)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 283, 567, 851, 1135, 1419, 1703?\n\"Answer: 284*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5510 = 3*g - 5507. Is g not equal to -2\/37123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 49\/(-42) + 3 + -1. Let y = 677\/6 - 667\/6. Determine a, given that -5\/6 - j*a**2 + y*a = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g + 1997*g - 67031 = -575*g + 192052 for g.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1142454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35267 and 8?\nAnswer: 282136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 - -87) + -11 - (-18 - 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/((-144)\/42)*(3 - 1). Solve 176 - 169 = o*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229013 or -0.1?\nAnswer: -229013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18111*-1.273.\nAnswer: 23055.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14995.\nAnswer: 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a + 11*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*u - 2373 = -807 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 758.2563 years to millennia.\nAnswer: 0.7582563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:39 AM?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 23617\/10 - 2353. Let i = 6005\/4 + -1494. Calculate the common denominator of t and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -6344, 2, 0 in descending order.\nAnswer: 2, 0.04, 0, -6344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1115007 and -0.177.\nAnswer: -0.0654993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -112212?\nAnswer: 112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(0 - 1 - -4). Suppose 2*n + 3*n = -15, 5*c + m*n + 29 = 0. What is the units digit of 20\/3*(-6)\/c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*6*(-1 + -22). Suppose -2*u = -4*u + n. Suppose 2*i - u = -i. Solve 5*f = 2*t + i, -5*t + 4*t + 2 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*-6*(-3*(sqrt(7) - (3 + sqrt(28)) - (sqrt(448) + sqrt(448)*-1 + sqrt(7)) - (2 + sqrt(14)\/sqrt(2) + 1)))**2.\nAnswer: -96228 - 34992*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -158. Let c = w + 92. Let i = 4 - -1. Solve 4 = -i*v - c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 0*r = 4*j + 16, 0 = 2*j + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (1 + -1) - -20. Let l be j - 4*4\/(-8). Suppose -5*a - 4*i + 27 = 8, a = 4*i - 1. Solve 4 + 1 = -f + c, a*f = -5*c + l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 2)*(1 - 4 + 0) - 2 - 1 - 2)*(5 - 5 + 4*g) + (4 - 4 + g)*(2 + 1 - 1).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 297 - 294. Suppose -x + 106 = -4*t, -4*x - i*t = t - 464. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196383000 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -109*u**4\/4 + 4*u**3\/3 + 3*u**2 - 2*u + 43. Is c(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5 - ((-369)\/(-585) + -1)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 0)*(-4 + 4 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.09 - 0.09. Let m = 11.5 - 2.5. Let u = q - m. Which is the second smallest value? (a) u (b) -0.5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 7*q**2 - 3*q - 7. Let v = 13 - 22. Let i be (-1 - 3) + v\/3. What is the tens digit of r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12632 - 25?\nAnswer: -12660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(3\/22)\/d))\/(d*d**0)*(d\/d**2)**(8\/7))**(1\/42) assuming d is positive.\nAnswer: d**(-43\/6468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 12 = 33. Let u(p) = 2*p - 2*p - s*p - p. Let n(y) = 3 + 0 - 3 - 3*y**2. Calculate u(n(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:15 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 352331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20*4\/32*6\/5. Suppose 3*y - 8217 = 2*k, k - 5476 = -2*y + z*k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 - 83 - 7*b - 108*b + 17*b - 61*b to the form y*b + s and give y.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 333187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*k**3*o**2 + 3*k**3*o + k**2*o**3 - 2*k*o**3 + 66*o**3 wrt k.\nAnswer: 168*k*o**2 + 18*k*o + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*i + 22 = 87, 2*a - 6 = -2*i. Let s be 2\/4 + a\/(-20). Let g = -46 - -48. Put 0.2, g, s in descending order.\nAnswer: g, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 23 (b) 1.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*t + 3*t + t)*(2 - 7 + 3).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.434 - -0.566. Which is the second biggest value? (a) 0.24 (b) g (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (96\/160)\/((-9)\/(-3)). Which is the closest to 0.1? (a) f (b) -0.4 (c) 26 (d) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70982 divided by -2908\nAnswer: -35491\/1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2181a094 - -2?\nAnswer: 2181a096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4820.5427 - -8.8427. What is j rounded to the nearest one hundred?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 276 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(33)\/sqrt(3) - sqrt(11) - sqrt(11)) - (sqrt(288) - sqrt(288)*2))\/((sqrt(12) + sqrt(12)*-5 - sqrt(12))\/sqrt(3)*4))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111212 (base 6) to base 11.\nAnswer: -7047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7912211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/14 - 600\/(-175). Sort g, -1\/5, -1, -0.3 in increasing order.\nAnswer: -1, -0.3, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1\/4 (c) 1\/27212 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2125*s + 40292 = 112542 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5*q = 89, 0 = -4*x + 3*q + 1106 - 1063 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u + 1 = -18*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4105 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 14576*h**3 + 13278736*h**2.\nAnswer: 4*h**2*(h - 1822)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 97 + 7 = 0. Let c = -30 + r. Is c at most 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/21)\/((-4)\/(-18)). Let -w*c**4 + 1 - 9*c**2 - 9*c**3 - 1 - 3*c = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 - (189\/18 + -7). What is the second biggest value in -5, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*z = 30, k - 341*z = -345*z + 6 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7017615133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 19 + -1 + 3 + 254 + -258.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:48 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15759659?\nAnswer: 15759659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2460*n + 502?\nAnswer: 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 1051, 1592, 2133, 2674?\nAnswer: 3215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(2 - 2 - 1). Let o = -123571063\/236 + 523608. Let n = o + -3\/59. Do n and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g - 32*g + 13*g - 20*g**3.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9047 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/6 and 59\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmyo. Give prob of picking 1 m and 3 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -353\/3096 - -1\/344. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -37, 2\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -0.3, -3\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 76 (b) 1\/9 (c) 2\/5 (d) 0.08 (e) -2310\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1077 - 1049. Calculate the highest common divisor of 686 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(1 + 0)*1. Let g = 22.8 - 23. Which is the smallest value? (a) l (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*s, -12 = -i - i - 4*s. Is 29 a factor of (-50856)\/(-88) - 10 - i\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/392 and -12\/119.\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/(2\/4). Let p(f) be the second derivative of f**4\/3 + f**3\/6 + f**2\/2 + 3*f. Let n be p(g). Solve -6 = -n*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -26*k - 160. Suppose 40 = -2*b + k. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-30)\/45 - 16\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqbxzxqxzxx. Give prob of sequence bx.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/222159 and -73\/3195?\nAnswer: 3332385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h - 5*h)*(3*h**4 - 6*h**4 + 4*h**4) + 13*h - 18*h**5 - 15*h**5 + 36*h**5.\nAnswer: -3*h**5 + 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2983 + 2984. Which is the second biggest value? (a) r (b) -1\/2 (c) -0.2 (d) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2017919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*a = -157, 3*o - 4*a = 4*o + 45. Let s = 616 + o. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 76515 - 76516 + 2*q. Let l(n) = -6*n + 12. Calculate -l(d) - 10*z(d).\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 82626*q**3 - 1 + 0 - 51*q**2 - 82628*q**3 + q**4 as x + j*q + a*q**3 + l*q**2 + p*q**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (0 + -4 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*(-6)\/8. Let z be (-2)\/(-9)*1437\/6. Let w = -53 + z. What is the closest to -1 in w, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27053.\nAnswer: 13, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2174*z + 2191*z - 18377. Which is smaller: 8655\/8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 5, q: 1, s: 1, z: 3}. Give prob of sequence ww.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**11)\/v)**(-49) assuming v is positive.\nAnswer: v**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 3 (b) -157 (c) 2 (d) -2\/105 (e) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911141?\nAnswer: 3, 70783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4 + 948*p**3 - 68505*p**2 + 265344*p + 65433600 = 0.\nAnswer: -25, 64, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + s + 1. Let q(x) = 4*x**2 + 3*x - 6. Let l(t) = -3*k(t) - q(t). Let c be l(-6). Suppose c*v = 5*v. Solve -2 = -2*y - v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(5*x**3 - 5*x**3 + 8*x**4).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by 78?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 354. Let w(i) = 3. What is -b(a) + w(a)?\nAnswer: -2*a - 351","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*c + 70 = 0, -18*l - 4*c = -14*l - 2*c - 28 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 6*y**2 - 3*y - 19. Let p be x(-6). Let g(v) = -v + 1. Let q(o) = 8*o - 6. Let l be (-5 + 1)*(-3)\/(-2). What is l*g(k) + p*q(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104314 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(8\/64*-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169730390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*b + 4*s + 916, -b - 181 = 3*s. Let v = b + 261. Calculate the remainder when v is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ssssfppsss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1689 - 1689. Let b(y) be the second derivative of 9*y**2 + 0*y**3 - 1\/6*y**6 + 0 + 0*y**5 + c*y**4 - 9*y. What is the first derivative of b(h) wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 293*a + 2057. Calculate z(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6 and -51\/39291086.\nAnswer: 117873258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 + l**2 - 8*l**3 + 16*l**3 - 7*l - 18*l**3 as w + n*l + t*l**2 + f*l**3 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*c - 3*q, -5*c + q + 2*q = -46. Suppose -7 = -5*l + c. Solve -13 = 4*k - 1, -5*k - 21 = l*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -2\/2469, 4\/69, 2 in ascending order.\nAnswer: -2, -2\/2469, 4\/69, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9328240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -152. Let w(m) = -1. Let v(z) = 2*z + 8. Let b(g) = i*v(g) - 5*w(g). Let q(d) = d + 1. Give 4*b(s) + 12*q(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3)*(-1584)\/(-528)*(-30)\/4\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + (7 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/1*(21350\/(-280) + 68)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-12)\/(-81)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.43 * -48\nAnswer: -116.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129736921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)**29\/((y\/(y**(2\/5)\/y))\/((y\/(y\/(y\/((y*y**(1\/6))\/y*y)*y*y*y*y)))\/y)) assuming y is positive.\nAnswer: y**(907\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 110 = -2*s, 4*w - s + 291 = 83. Let v = -30 - w. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -306*y + 250*y + 336 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.008 from -17963.\nAnswer: -17963.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-49)\/(-28) + -5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/10944 and -107\/30096?\nAnswer: 120384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d + 17*d + 8*d)*(d**2 - 4*d**2 + 2*d**2).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z - 4, -v - 4*z + 204765 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*h, -4*h = g - 10 - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1202, 1205, 1210, 1217, 1226?\n\"Answer: x**2 + 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/20 - f**4\/2 - f**3\/6 + 4*f**2 - 3*f. Let t be m(-6). Let c = 24 - t. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325810 and 33914.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w + 17 + 288*w + 48*w - 24*w.\nAnswer: 321*w + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*x**2 + 48*x**2 + 30*x**2)*(2*x - 2 + 2) to r*x**3 + n*x**2 + q + a*x and give r.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 11. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 310871 + -310869. Factor -432\/5 + 2\/5*a**3 + 216\/5*a - 36\/5*a**f.\nAnswer: 2*(a - 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 335 and 171520?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 11584418.95?\nAnswer: 11584419.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 5:54 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - q - 215 = 0, 0*q - 117 = -3*b + 3*q. Calculate the remainder when ((-4)\/(-10))\/((-1 - 6)\/(-1470)) is divided by b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -0.074?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10863113843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-4)*(0 - -2). Suppose 6696 - 13110 + 7044 = -45*h. Sort o, h, -1 in ascending order.\nAnswer: h, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222292 and 10?\nAnswer: 1111460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/10 + 15\/(-150).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*d**5\/5 - 7476*d**4 - 21776*d**3\/5 + 146464*d**2\/5 + 85536*d\/5 + 12224\/5 = 0. What is d?\nAnswer: -2, -2\/7, 2, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + v - v + 4*v**2 - v**2 - 4*v**2 + (-v - v + 0*v)*(-3*v + 6*v - 2*v))*(-v + v + 3*v)*(5402 + 45*v**2 - 5402).\nAnswer: -270*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u**3 - 4*u - 3*u**2 - 2*u**3 - 3*u**2 + u**3. Let v be r(-5). Let b(a) = -124 + 43 + 44 + 44 - a**2 + 2*a**2 + 8*a. Determine b(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**2 + 4*g - 2 - 4*g.\nAnswer: -20*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**4\/42 + j**2\/7 + 7*j - 17. Let p(i) be the first derivative of a(i). Factor p(n).\nAnswer: -2*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3282 or -3281?\nAnswer: -3281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 = x, -4*x = -4*m - 0*m - 16. Let r be 6\/m*(-32)\/24. Suppose 2*d = -4*t + 4, 0 = 5*d - 2*t - r*t - 38. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 2*r**2 - 5*r - 6. What is the lowest common multiple of 21 and h(-3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from effafefeeek?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8814003 meters in nanometers?\nAnswer: 881400300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4716591 and 20163.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 1213*r + 6104. What is o(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 4:41 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.5393 milliseconds?\nAnswer: 0.0025393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4923564103 to the power of 1\/2, to the nearest integer?\nAnswer: 70168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335*c**5 - 2*c - 111.\nAnswer: -6700*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 i, 1 h, and 1 a when four letters picked without replacement from hamihhmhh?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 15035518*g + 15035518*g - 3*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99\/5 in 4, 1\/4, -5, -2\/15, 0.2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382865325 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*o + 11, -2*o - 3*o = -i - 15. What is the remainder when ((-26)\/(-3))\/(12\/18) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 6*x**2 - 6*x + 6. Let z be s(5). Find the first derivative of 3 - 1 - 2*y**2 + z - 1 wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 5:42 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 0.10791 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11 = -4. Let i(x) = 7 - 8 + 0*x - x - s*x**2 + 3*x. Let r(h) = h**2 + h + 1. Let w be r(-1). What is i(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.18 in 0.1, 22\/5, 0.4, -2?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 1, f: 3, i: 1, q: 1}. What is prob of sequence sip?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*y - 12. Let d be (y\/(-2464))\/((-6)\/(-16)). Let c = d - 5\/33. What is the closest to 0 in 1\/2, -2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012100122 + -121?\nAnswer: 1012100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 20*p + 9. Let n be h(20). What is the highest common divisor of n and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 18438?\nAnswer: 55314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9db14 - 38?\nAnswer: 9daba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*j - 20, -2*l = -3*j + 24 - 16. Factor 0 + 1\/7*u**3 + 2\/7*u**2 + j*u - 1\/7*u**4.\nAnswer: -u**2*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1249\/5 - 250. Let x = 0.264 - 0.064. Which is the nearest to -0.4? (a) p (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4008087, -4008104, -4008121, -4008138, -4008155?\n\"Answer: -17*t - 4008070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25200 and 792600.\nAnswer: 33289200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91761.\nAnswer: 3, 73, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10979*q**3 - q**2 + 17665*q**3 - 3432*q**3 - 3*q**2.\nAnswer: 25212*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 13. Let o be v(3). Suppose -o*f - 4*a = -3*f + 80, 5*a + 331 = 4*f. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2548506604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Let q(s) = 6*s**3 + 3*s**2. Let x(z) = -5*z - 1. Let p be x(0). Calculate p*q(i) - 3*r(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251269 is divided by 3750.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 139\/3 - (-5)\/(-15). Suppose -5*y + p = -4. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2315 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1561842?\nAnswer: 2, 3, 31, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69331 + -42453. Round v to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4312*v**5 + 5*v**3 + 88*v**2 - 5810*v + 1409?\nAnswer: -86240*v**3 + 30*v + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 9*t + 28*t - 5*t + 4*t**2 + 64 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (4 - 4) - 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + -1 + -8 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -10 in increasing order.\nAnswer: -10, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**2 - 8*z - 7 + 15 - z**3 + 13*z**2. Calculate l(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 2*t + t**3 + 10 - 8*t - 6*t**2. Let n = -2052 - -2059. Determine m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1239*h - 595*h + 5578*h to r + j*h and give j.\nAnswer: 6222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3734978 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2.1. Let i = g + -0.1. Let m(q) = q**3 + 8*q**2 + 11*q + 11. Let n be m(-7). Is n smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 5*k + 8. Give c(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*k + 139*k + 15*k**2)*(2 - 2 + 4*k) + (1 + 3 - 3)*(-4*k**3 - 2*k**3 + 5*k**3).\nAnswer: 59*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*-2*(-44)\/5632*208*-168?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 693795 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95627887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*v**2 - 51*v**3 + 83*v - 7*v**2 + 78*v**3 wrt v?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1203066 + -21?\nAnswer: -1203120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 6. Let t be 2\/(-7) + (-33)\/7. Let b be s(t). Suppose 5*o = 4*z + o - 28, -b = -z - 5*o. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -2. Let g = 2 - l. Suppose 2*f + 12 = 4*k, -f + 4*k + 24 = 7*k. What is the greatest common divisor of f and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/24*16)\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 147?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 259244857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203 and 174?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-3*sqrt(76) - sqrt(76) - sqrt(76)))\/sqrt(4))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*1*((-4)\/16)\/(343\/84)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7054.829 nanometers?\nAnswer: 0.000000007054829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a**2 - 13. Let l(j) = 31*j. Give t(l(n)).\nAnswer: -13454*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 9:53 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 3*a)*(-9 + 9 - 9*a).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738778?\nAnswer: 2, 37, 23497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.241759 milligrams to nanograms.\nAnswer: 4241759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 470 + -295. Suppose 0 = 3*x - 2*r - h, 0 = 4*x - x - 4*r - 179. Suppose 2*s - 3 - x = 0. What is the greatest common factor of s and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -316 + 320. Put 3, d, -0.2, -9 in decreasing order.\nAnswer: d, 3, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p**2 + 13*p + 6. Let o(m) be the first derivative of 4*m + 9\/2*m**2 + 57 + 7\/3*m**3. Calculate 5*j(g) - 7*o(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (-4 + sqrt(153) + sqrt(153)*4 + sqrt(153))**2 + (-5*(sqrt(153) + 4*sqrt(153)*5))**2.\nAnswer: -144*sqrt(17) + 1692349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 9, -4.\nAnswer: -4, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 5. Let s be t(-6). Suppose 4*g + 14 = -3*g. Put s, g, -5 in descending order.\nAnswer: s, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389142574.\nAnswer: 2, 131, 1485277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 302233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18148284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**4 - 2*r**3 - r**2 - 3*r. Let l(t) = t**3 + t**2 + t. Let z(o) = -k(o) - 3*l(o). Determine g, given that z(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137 divided by -451\nAnswer: 137\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 20*t**2 - 16*t - 18. Let w be -36*(-2 + 0 - -3). Let r(i) = i**2 - i - 1. Let y(a) = w*r(a) + 2*q(a). Factor y(d).\nAnswer: 4*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 2. Let g(t) = t**2 + 4*t - 3. Let a be g(-4). Let j be (-13)\/a + 8\/(-24). Suppose -j*b = -7*b - 12. Calculate k(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4106602 and 457.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 10, j: 2, h: 1}. What is prob of sequence hj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185.9 - 186. Let w be (-9)\/(-24) - (-17)\/40. Which is the closest to -0.5? (a) w (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 65191?\nAnswer: 651910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2655?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, 0.3, 8, 3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2659, 2647, 2621, 2575, 2503, 2399, 2257, 2071?\n\"Answer: -o**3 - o**2 - 2*o + 2663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5\/2 + 9*i**4\/2 + 99*i**3\/2 - 321*i**2\/2 + 162*i - 54 = 0?\nAnswer: -6, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/5 + 4*j**2 + 442*j\/5 + 84 = 0.\nAnswer: -10, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2. Let c(g) = 49688*g. Calculate c(n(o)).\nAnswer: -149064*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*o**2 + 598*o**2 - 4*o - 1 - 1025*o**2 + o.\nAnswer: 124*o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1862, 3627, 5392?\n\"Answer: 1765*f + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1. Suppose 5*i - 3 = 2*i. Let h(o) = -32*o - 9. Let j(q) = i*h(q) + 2*b(q). Let v be j(5). What is v rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11152052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2508.19 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -4*g - 0*t + t, g + 3*t = 59. Suppose g = -6*n + 560. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j - 10. Let t be z(-2). Solve 8*x - 9*x + t = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -23. Let x be (-2)\/(-2)*(1 - 2). Let v be (-6)\/(-2)*x + 12\/3. Sort v, -2, 0, s in descending order.\nAnswer: s, v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341917 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (420\/48)\/(1\/4). Suppose 0 = -2*y + 35 - m. What is the tens digit of 102*(y - (-10)\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 3:26 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*u = u - 217, 4*a + 3*u - 419 = 0. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*(-12)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1533 - 165 = -24*r. Is r <= -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291*s + 888*s = -90404 + 30587 - 44775 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(14\/(-60))*-11. Let y be 4\/(-14) + a\/77. Suppose 5*l = 5*s + 110 + 350, -5*s - 370 = -y*l. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182813208639 - 4?\nAnswer: 182813208635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*q, 4*z - 3*q = -5*q - 6. Let j = 61 + -47. Suppose -22*r + j*r = z. Solve -3*b + 0*b = r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r + 7*r + 0*r)*(-1 - 23*r**2 + 1).\nAnswer: -322*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523072?\nAnswer: 2, 11, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + 3*d + 1. Suppose 0*t + t = 2. Let p be ((-10)\/(-15))\/(t\/(-6)). What is the remainder when 21 is divided by y(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.011 plus 127953341.467?\nAnswer: 127953340.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 598017 and 12?\nAnswer: 2392068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 7:46 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3 + 33*t**2 - 30*t - 64 = 0 for t.\nAnswer: -1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-130)*(-42)\/(-28).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 h, and 1 j when three letters picked without replacement from {h: 1, k: 4, v: 3, c: 7, j: 2, e: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207 - 115. Suppose -6*h + i = -2*h. Is 23 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16415105 to the power of 1\/2, to the nearest integer?\nAnswer: 4052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8942*i - i**3 + 8942*i)*(-3*i + 1 + 4*i - 2*i).\nAnswer: i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3501 - 5931 = -12*r + 274*r for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -320, -99, 639 in descending order.\nAnswer: 639, -99, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39\/168 + ((-2)\/8)\/(126\/(-72))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10009*q + 55. Is j(1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10*k**2 + k. Let z(f) = 3*f - 1. Let v(t) = -210*t + 63. Let i(o) = v(o) + 63*z(o). Give i(m(g)).\nAnswer: 210*g**2 - 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*m = 5*m + 9853, 0 = -5*o - m + 24643. Suppose o = -39*h + 61*h. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3500130.824 to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086816569 to five dps.\nAnswer: -0.00868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 70476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 92163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 8. Let d(i) = 3*i + 17. Let h(c) = -14*c - 69. Let g(z) = -9*d(z) - 2*h(z). Let f be g(9). What is y(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 + (-42)\/(-56). What is the nearest to w in -3, 1\/2, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 19 - o + 14 - 5*o**2 - 2*o**4 + 0*o**2 - 15*o**3 + 2*o**2 as y*o**3 + x*o + n*o**2 + v + p*o**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3240, -6218, -9208, -12216, -15248, -18310?\n\"Answer: -u**3 - 2971*u - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -97. Let t = o + 123. Let b = t + -60.23. What is b rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7451617 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52679913?\nAnswer: 3, 11, 13, 19, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 3095962.\nAnswer: -5\/3095962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43966 + -0.5?\nAnswer: 43965.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:15 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 82*c**2 - 16*c - 30. Calculate the remainder when y(-2) is divided by 195.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159.3 - -157.3. Which is the smallest value? (a) -3 (b) z (c) 11.5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**3\/3 - 7*f**2\/2 + 10*f + 11. What is d(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59800391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89, -179, -269, -359, -449?\n\"Answer: -90*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 6*o)*(-3*o**2 + 3*o**2 - 2*o**2 + (2*o + 2*o - 2*o)*(-5 + 5 + o) + 2*o**2 + o**2 - o**2 + 2*o**2 - 9*o**2 + 10*o**2).\nAnswer: 30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**2*t**3 + 67*p**2*t - 14*t**5 - 2*t**3 + 2*t - 5 wrt t.\nAnswer: 30*p**2*t - 280*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133086\/4655 - 671\/95. Let i = f - -15\/98. Calculate the common denominator of i and 1\/(13\/30) - 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -5432510\nAnswer: -217300.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 + 186. Suppose -5*u + 97 = 3*h, 3*u - h = -6*h + g. Suppose 2*q = -2*q + u, -3*j - 2*q = -37. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -48*i + 726. Determine p(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -15*k - 48. Let g(a) = -a**3 - 8*a**2 + 2*a + 6. Let o be g(k). Let f(c) = c**3 + 10*c**2 - 3*c - 24. Let t be f(o). Solve v - t = -2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242 and 22?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -21. Let s(k) = n*k - 5 - 7*k + 0. Let u(p) = -2*p + 4. Give -4*s(o) - 5*u(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249 and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 - 146*b - 33. What is s(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/6)\/(16\/24). Suppose -3*v - 12 = -g*v. Suppose 0 = i + v - 7. Which is the nearest to -0.2? (a) 5 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/37 in -5\/6, -6, -17, 8\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 11*q**2 - 2*q + 13. Let y(z) = -z**3 - 5*z**2 - z + 6. Determine 4*x(a) - 9*y(a).\nAnswer: a**3 + a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 17 + 55)*(1 + 4*x**5 - 1) + (x**2 - x**2 + 2*x**2)*(-4 - x**3 + 4).\nAnswer: 262*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = 3. Suppose 1 = u, 0 = 4*w - 0*u - f*u - 105. Suppose -6*v = -5*v - 5*n - w, -4*n - 10 = 5*v. Solve v*a + 3 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m + 3. Let d = -38 - -34. Let b be ((-3 + 2)\/1)\/(-1). Let a be (24\/20)\/(b\/(-5)). Let o(k) = -3*k - 2. What is a*o(s) + d*f(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:05 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.36816 - 0.316199. Let c = -0.052 + j. What is c rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**4\/16 - r**3\/6 + 188. Factor g(s).\nAnswer: s**2*(s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**2\/5 + 52*a\/5 = 0.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j + 2. Suppose -j*f - 2 = -6. Let q be 1\/4 + (-1)\/4. Solve -t - t - f = q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*9\/((-108)\/(-8)). Suppose 3*l + 2*r = 57, r = z*l + 4*r - 76. Suppose 0 = -0*g + g + 3*k - 20, -g + l = 2*k. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 3627 + 3*w + 5*w**3 - 16*w**3 + 9*w**3 to h + x*w**2 + b*w**3 + q*w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*k - 206 + 289 + 281 + 201 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -3\/4, -1, -0.5, -1.529, 23?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 32 = 11*q. Suppose -22000 = -q*z + 3*z. What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882078433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256730 is divided by 251292?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896723 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 + 36*r + 470\/13.\nAnswer: -2*(r - 235)*(r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 254245434 (base 6) in base 15?\nAnswer: 681ccd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {o: 1, g: 19}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-9)*(-27)\/(-6). Suppose u*b = b - 16. Let x = -6 - b. Solve z = -z - x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/42 + -3 + (-7415)\/(-3115) and -34.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 + 4 = 0. Is 312\/15 - f\/5 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 6, -958, 0, 1 in descending order.\nAnswer: 6, 4, 1, 0, -4, -958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305988 divided by 10.\nAnswer: -152994\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/u*u)\/u*u*u*u)**(-13)\/(u\/(u\/u**2)*u*u**(-2\/13)*u) assuming u is positive.\nAnswer: u**(-1333\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 + a. Let j be r(2). Suppose 2 = -n - j*i + 1, 0 = n - 4*i - 29. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5744321197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23.9 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/873025 and 2\/167175.\nAnswer: 7857225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (684 - 679) + 7 + 0 + 1 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201315006*g**2*v + 3*g*v + 11*g + 1348185 wrt g.\nAnswer: 402630012*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0 + 1\/60*s**5 - 5\/6*s**3 - s**2 + 0*s + 1\/6*s**4. Let z = 3 - 8. What is v(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 + 309*y + 14*y**2 - 309*y - 8*y**2.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -626, -1248, -1870, -2492, -3114, -3736?\n\"Answer: -622*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52018 and 3844.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263844*f**5 + 381529*f**2 wrt f?\nAnswer: -15830640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31\/((-93)\/(-126)) - 10\/2. Let r = 48 - l. Solve 2*n + r = -4*b - 1, 3*n = -6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161460 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2577007 is divided by 784.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 15 = -2*m. Solve -m*c = c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15587 and 2347969?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4311 - -4?\nAnswer: -4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u**2 + 45*u - 28. Let p(k) = 7*k**2 + 23*k - 14. Let l(x) = -11*p(x) + 6*y(x). Let t be l(-18). Let h = -5 + t. Put h, 4, -0.5 in ascending order.\nAnswer: h, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 214, 447, 782, 1225?\nAnswer: 1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99, -408, -929, -1668, -2631?\n\"Answer: -v**3 - 100*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 - 2*g**2 + 6*g - 13. Let k be f(3). What is the highest common divisor of 4469 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 + 331 - (40 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttd when four letters picked without replacement from mdmdamxdmdantmtdtdx?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 219*g - 1 to f*g + z and give f.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/60 - m**5\/12 + m**4\/2 - 43*m**3\/6 - 6987*m**2. Give j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344.6692 - -89086.\nAnswer: 89430.6692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**5 - 1590*r**4 + 2*r + 41467?\nAnswer: -160*r**3 - 19080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21*6\/(-72))\/(2\/(-8)). Suppose -u*t + 574 + 609 = 0. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 85, 1.\nAnswer: 1, 85, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -654, -1256, -1858?\nAnswer: -2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 15, s: 3}. What is prob of sequence ss?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 50485?\nAnswer: -6\/50485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 3. Let h be z(10). Let p = 14 + h. Which is the smallest value? (a) -3 (b) p (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 46 + -16 + -8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-6))\/(2\/(-1324)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 4*y**2 + 0*y**2)*(56 + 13 + 4*y + 35).\nAnswer: -4*y**3 - 104*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 750072, 749952, 749630, 749004, 747972, 746432, 744282, 741420?\n\"Answer: -17*a**3 + a**2 - 4*a + 750092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 766642 (base 10) to base 5\nAnswer: 144013032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2860 - 69*n - 31*n + 3*n + 209*n - 2854 + 193*n.\nAnswer: 305*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 11*a**6\/45 - 41*a**4\/24 + 11*a**3\/6 - a. Let l(k) be the second derivative of p(k). Differentiate l(z) with respect to z.\nAnswer: 176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and -4.317?\nAnswer: 172.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -173? (a) -1 (b) -1.7 (c) 5 (d) -18.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 585946 + 2807762 = -1423268. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(72) + 0 - sqrt(72)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 - 644*l**3 + 3560*l**2 + 9042*l + 4840 = 0 for l.\nAnswer: -20, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22774, -45543, -68312, -91081?\nAnswer: -113850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -483*s + 965*s + 193 - 484*s. What is the remainder when m(16) is divided by 92?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 16. Let t(f) = -f + 11. Let b be t(n). Find the third derivative of 2*o**b - 3*o + 2*o**2 + 3*o wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*h + 639 = -363, 1337 = 4*c + 5*h. Let d = c + 97. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-36)*(-20)\/(-6)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11309556019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18340 times 43?\nAnswer: -788620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/(16\/64)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695 a factor of 77167015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1.811?\nAnswer: -3.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-24 + 31 - (0 - -13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -724 divided by -7209?\nAnswer: 724\/7209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 0*c - 2*c + 0*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6804200 rounded to the nearest 10000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -38606.28 and -4.34236?\nAnswer: 38601.93764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6*m - 90. Suppose -m = 3*a - 144. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 4, m: 2, r: 5, x: 4}. Give prob of sequence yx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (0 + 1))*-2. Let m(x) = 2*x + 11. Let o be m(-4). Let n be (4\/o)\/(-3*(-9)\/81). Solve -n*q = -j*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*n = 4*n - 17, 4*c = -2*n + 10. Solve 0 = -c*d + 24 - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmem when four letters picked without replacement from {m: 3, f: 3, q: 2, k: 3, e: 2}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgr when three letters picked without replacement from gigiidgirdigdi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-36))\/((-274988)\/30744)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1074645*685\nAnswer: 736131825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + s + 1. Let z(p) = 5*p**3 - 2*p - 10. Give 6*v(o) + z(o).\nAnswer: -o**3 + 4*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a - 2*a + 215 + 7*a + 2*a. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -84? (a) -0.5 (b) -3 (c) 40 (d) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 154 + 522 = 0. Let f(x) = x + 24. Give f(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = 6*o - 2*b - 18, 27 = -4*o - 5*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 349605801 to the power of 1\/3, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3155582?\nAnswer: 2, 37, 42643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 91*j + 71. Let t(u) = 46*u + 33. Determine 6*g(f) - 13*t(f).\nAnswer: -52*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13697888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1397961.4 and -0.07.\nAnswer: 97857.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1110101001000 (base 2) to base 16\nAnswer: 1d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -p - 5*m, -3*p = -7*m + 3*m + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 h when three letters picked without replacement from {a: 1, x: 1, h: 14}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19856 (base 11) in base 8?\nAnswer: 66001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2 - s + 2. Let i be 2 + 1 + -4 + -1. Let m be u(i). Let z be (-2)\/2 + (4 - (0 - -4)). What is the nearest to z in -3, 2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 + 9.2. Let j = -7 + o. What is the third biggest value in j, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-1 - (-18)\/8). Let d = 0.17 - 1.97. Let p = -1.3 - d. Which is the third biggest value? (a) n (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 3, 5, 7, 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1 - 6 + 9 - 5. Let r(v) = -5*v + 4*v + 0 - 2. Suppose p - 2 + 1 = 0. Calculate p*r(a) - 2*b(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -36 (c) 4 (d) 0 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 22 = 5*h, -5*h + 13 + 5 = -2*k. Suppose -h*o + 3*q = -131, 2*o - 5*q - 257 = -2*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16 + (15 - (-36)\/9). Solve 3*p - 6 = -141*c + 142*c, -i*p + 9 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aai when three letters picked without replacement from mkxakmkimxxmzzkiaxm.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -286443*c**5 - 15750657*c**4 - 157912608*c**3 - 441367608*c**2 + 5733360*c - 18576 = 0.\nAnswer: -43, -6, 2\/309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15699 + 29049. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 2*n - 20)*(3*n**4 - 6*n**4 + n**4) - 61*n**5 - 28*n**5 + 48*n**5.\nAnswer: -45*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/4)\/(4\/16). Let o = -7 + u. Calculate the highest common divisor of o and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51\/76 - -3\/38. Which is the second smallest value? (a) x (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 1\/105*n**7 + 0*n**5 + 0*n**3 + 0*n + 0*n**6 + 0 - 1\/12*n**4 - 2*n**2. What is the second derivative of i(x) wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-4\/3))\/v*v*v\/((v*v**7)\/v))**(-2)\/(v**(-3)\/(v*v**(-2\/11))*(v**(-1)\/v)**(-6)) assuming v is positive.\nAnswer: v**(82\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 + 8\/((-24)\/17). Let o be (-2)\/(-10) + 99\/55. Suppose -o*b + 2*c = -8, 0*c = -4*b - c - 4. Put 3, -4, b, w in increasing order.\nAnswer: w, -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + (-2 - (0 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54\/5 - -57\/5. Let x = 9025 + -9022. Which is the closest to -0.1? (a) u (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j. Let c(o) = -12*o**2 - 3*o + 6. Let x(u) = -11*u**2 - 3*u + 5. Let k(w) = 5*c(w) - 6*x(w). Determine k(g(m)).\nAnswer: 96*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.355 + -2.355. What is the second smallest value in 0.06, -1, q?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2167\/5 + -301253\/695. Let u = q + 938\/1807. Let v(i) = 7*i + 15. Let o be v(-2). Is u bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5749*r**3 - 711*r**2 - 215*r + 3964 wrt r.\nAnswer: 34494*r - 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 5 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.5 + -17. Let p = -10 - x. Let d = -0.8 - p. Which is the third biggest value? (a) d (b) 2\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3100065*x**5 + x**3 + 274903*x - 6?\nAnswer: 62001300*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 126482990 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 6*f + 7. What is the lowest common multiple of c(-5) and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 8. Suppose 0 = -j*w + w + 48. Calculate the greatest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/337 - 644\/5055. Put 0, -1, l, -2\/9 in descending order.\nAnswer: 0, l, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n)\/n**(-2\/39) assuming n is positive.\nAnswer: n**(-115\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 10*k - 160. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y + 1)*(4 - 4 + 8*y + 2*y - 2*y + 2*y + (2*y - 6*y + 3*y)*(-3 + 3 - 1)).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - z + 8*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - 2*r - r)*(141 + 211 + 103)*(2 + 1 - 4) in the form n*r + o and give n.\nAnswer: 2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5, d + 0*d = 5*g + 155. Let h = d + -107. What is the smallest common multiple of h\/4 - (-3)\/(-12) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let x(u) be the third derivative of 0 + 0*u**3 + 7\/8*u**4 + 26*u**2 + 0*u. Determine x(m(h)).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*5*5)\/(-4*-1*sqrt(112)).\nAnswer: 25*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -55*y**2 + y + 6. Let k(z) = 12349*z. Give k(q(r)).\nAnswer: -679195*r**2 + 12349*r + 74094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 11 + (9 + -14 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -28, -65, -116, -181, -260?\n\"Answer: -7*t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*n - 421*n + 42 = 0, 4*m = -23*n - 130 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 161 - 15 = 0. Let b = -69 + j. Sort b, 5, -3, -1 in increasing order.\nAnswer: -3, -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(6)\/sqrt(3))*1.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 8*x - 2. Suppose -8 = 2*n, 0 = -3*i + 5*n - 18 + 59. Let k be t(i). Let o = 4 - k. Sort o, 4, 5 in descending order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-11 + 15) - -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*a - 121*a**4 - 13*a + 128*a**2 - 129*a**2 wrt a.\nAnswer: -2904*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and (-4)\/(8\/(-82)) + 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 34 = 0, 2395 = 228*p - z + 1466 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3405 is divided by 849.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 51. Let a(p) = 2*p**2 - 51. Let d(y) = -5*a(y) - 6*r(y). Let x(w) = -2*w**2. Determine x(d(k)).\nAnswer: -8*k**4 + 408*k**2 - 5202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/248 and 13\/84.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*p + 46. Suppose -51 = -3*v + p. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-62)\/992*(1 - 13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-10) + 1589068\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -52. Suppose 5*n - i - 104 = 0. Let a be ((-1)\/(-3))\/(-1 - 20\/(-18)). Solve -4*z - a*w = -n, 3 = -5*z + z + 3*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2\/5, 1\/3, 1\/19, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 3*b**2 - 2*b - 1. Suppose 13*q = 8*q - 215. Let m = -40 - q. Calculate the remainder when o(m) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/411978 and 67\/12117.\nAnswer: 411978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 44*p**3 - 660*p**2 - 1300*p + 2000.\nAnswer: 4*(p - 20)*(p - 1)*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 355 = -5*r, -14*r = -5*z - 15*r + 367. Calculate the least common multiple of z and 7.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 17288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -22*h - 130. Let q be k(-6). Suppose 0 + 1\/7*x**3 - 2\/7*x**q + 1\/7*x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4))\/(1\/2). Suppose -2*w + 6*w + 16 = 0. Let v = w + 4. Sort t, v, -2.\nAnswer: t, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38584397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 + 2. Let q = -10 + 9.9. What is the third smallest value in 3\/7, q, o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 4*i + 62408 = -12*x, -2*i - 46812 = -3*x. What are the prime factors of x?\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 + f**3 - 3*f**3 - 5*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**5 - g**2\/2 - 25. Find the second derivative of a(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 5)*(-1 + 4 + 0)*(4 + 2 - 2)*(3*g - 2 + 2).\nAnswer: 144*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 2*f**2 + 13 - 13*f)*(-50 + 102 - 47)*(-23*f - 4*f - f).\nAnswer: -280*f**3 + 1820*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*a - 5*g, a + 0*g = -2*g + 5 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Suppose 25 = o*r + 3*s, 3*r = -s - s + 20. Which is smaller: r or 11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 3 = -4*x, 2*x = 4*i + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(144\/490) - (-1)\/(-4) and 23\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, q: 2}. Give prob of sequence qff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281, 722, 1913, 4226, 8033, 13706, 21617, 32138?\nAnswer: 45641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -46, -82, -134, -208, -310?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 39440.\nAnswer: 39444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24578768 divided by 1536173\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by 14722.\nAnswer: -81\/14722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 98378*f**2\/5 - 157424*f + 1574304\/5.\nAnswer: 2*(f - 4)**2*(f + 49197)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 8836 (c) -22\/7 (d) 1 (e) 3 (f) 1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -3, 0.5, 3\/148, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 9*o - 30 = 0. Let h = o - -59. Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*k - 12, 3*t - 10 = -1. Suppose 4*d - 5*n = -490 - 124, k = -2*d - 2*n - 316. Do d and -156 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrmrrrrm?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r. Let b be u(7). Let y = -5\/44971 - -4856893\/224855. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**8\/14 + 117*p**5\/5 + 707*p**4\/3 + 3688*p. What is the third derivative of o(l) wrt l?\nAnswer: 480*l**3 + 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8444*z + 1773238. Determine q(-210).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 257.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 3. Suppose 2*g - 5*g = -r. Let o = -93 - -88. What is the nearest to g in -11, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000830271741 to 5 decimal places.\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 + -16363231281.\nAnswer: -16363231280.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**30\/d)\/(d**(-8)*d))\/((d\/((d\/(d*d*d*d**(-28)))\/d*d*d))\/(d*(d*d*d*d\/(d\/d**(-10))*d)\/d)) assuming d is positive.\nAnswer: d**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-616)\/(-484))\/(14\/10)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1215\/7 + 174. What is the nearest to 0.1 in n, -4, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/154 and -10\/33.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 154 + 3?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 25, -33\/4, 3, -10, 0.6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 15*v - 35 + 223 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09984 not equal to -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28784, 3, -3 in descending order.\nAnswer: 28784, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/684 and -19\/27027882.\nAnswer: 1027059516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6312 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70920662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47952821 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/11 at least -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**7\/420 + t**4\/12 + 4*t**3\/3 - 3. Let l(m) be the third derivative of w(m). Differentiate l(d) with respect to d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 0.2717, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/24 + 2*c**2 + 5*c + 212. Let y(d) = -d - 82. Determine y(w(h)).\nAnswer: h - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 7*z + 1. Let v be n(6). Let w be v - (-1595)\/35 - (-6)\/14. Let f = 74 + w. List the prime factors of f.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.2, 1\/7, -3, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1048 - 213. Suppose -q + 245 = -6*x + x, 5*x - s = -3*q. Let v be (-33)\/q - 6\/(-27). Which is the nearest to 1? (a) 1\/5 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.4 (b) 8 (c) -2 (d) 0.19 (e) -3 (f) 86 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 21*l**3 - 7*l**2 - 7*l + 17. Let g(z) = 11*z**3 - 4*z**2 - 4*z + 9. Let p(m) = 7*g(m) - 4*h(m). Let t(c) = 3*c**3 + 2. What is -4*p(i) - 10*t(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 2, 49, -1, 0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2251? (a) 0.3 (b) 65306 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 45, 58, 71, 84, 97?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/6)\/(-669 + 668)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5390497 divided by 3.\nAnswer: -5390497\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 145902568 divided by -476\nAnswer: -306518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z - 12. Let t be l(6). Suppose -4*o - 3*u + 17 = -8*u, -3*o + 3*u + t = 0. Which is the nearest to -1\/2? (a) 4\/5 (b) -6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 8*m**2 + 5*m + 3. Give b(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*s - 6613*s**2 + 64*s - 132*s.\nAnswer: -6613*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1928597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 72705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z - 127 + 2\/3*z**3 + 2*z**2. Factor v(c).\nAnswer: 2*c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5\/3, 12\/7, -0.3, 2 in descending order.\nAnswer: 2, 12\/7, -0.3, -0.5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 2*z**2)*(3*z + z - 13*z)*(-z**2 - 2*z**2 + 5*z**2) + (0 - 1 + 2)*(0*z**5 - 3*z**5 + 5*z**5).\nAnswer: 38*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 3*m + 3*m)*(234*m**2 - 5438 - 5422 + 10853) as z*m**2 + t + h*m + a*m**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h + 7. Let p(n) = -3*n - 3. What is 4*o(t) + 7*p(t)?\nAnswer: 11*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**2\/7 - 294918880*u\/7 + 294918884\/7 = 0?\nAnswer: -73729721, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 875*o**3 + o**2\/2 - 2*o + 2. Let j be f(2). What is j rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 935, 1506, 2115, 2774, 3495, 4290, 5171?\nAnswer: 6150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 10*j**2 + 8*j - 7. Let w be q(-9). Suppose -7*k = k - 32. Find the second derivative of -2*f**2 + 2*f**w + 9*f**4 + 22*f**k - 5*f wrt f.\nAnswer: 372*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -222.2977.\nAnswer: -227.2977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/610 (b) 0.3 (c) -691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, -3\/13, 27\/28, -8\/3?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 2*u - 1. Let v be (66 - 73)*(11\/(-7) + 1). Calculate g(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/352 and -3\/308?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1 + 37*p**3 - 63*p**3 + 28*p**3 + p**2. Let m be c(1). Solve m = s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1778 = -2*x, 70*q - 69*q + 3*x - 448 = 0. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -267. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 146?\nAnswer: 25\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 2 - 9 + 17*g - 15*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 1:39 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -43. Suppose 5*p - 9 = -3*z + r, -2*p - 4*z = 4. Solve -4*j + p*j = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/22 - -23\/154. Let y = 23 - 28. What is the nearest to k in 0.1, y, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*g**2 + 593*g - 80117.\nAnswer: 14*g + 593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -1, 113310 in increasing order.\nAnswer: -51, -1, 113310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1137 - 52. Let r = 1534 - z. What are the prime factors of r?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2 + 1*22. Let l be 4\/(-22) + 2436\/(-154). Let z be l*1*8\/(-32). Solve z*d - 5*w = s, 2*d + 5*w = 3*w + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/7)\/f**(-4)*(f**0)**(2\/11))\/(f\/((f\/f**(-9))\/f)*f\/((f\/(f*f\/(f*f**(-4))))\/f)*f)**(-8\/5) assuming f is positive.\nAnswer: f**(64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + 144*c - 39 - 56*c - 41 + 22 in the form t*c + h and give t.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Let u be (l\/(-3))\/(7\/(-147)). Let j be (112\/12)\/(4\/30). What is the highest common factor of j and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i**3 - 3*i**4 + 199 - i + 183 - 111*i**2 - 17*i - 380 + 166 = 0.\nAnswer: -7, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 1470?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2.8 (b) 4\/5 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*b - 1733, 10*f - 14*f - 706 = -2*b. What is the least common multiple of b and 21?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2245 = -275*u + 780 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (292\/8)\/((-6)\/(-12)). Let c = d - 6. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-1 + -3 - -6) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*d - w, -4*w = 16 - 0. Suppose -4*g + d = 14. Let z(j) = 12*j**3 - 16. Let n(h) = h**3 - 1. Give g*z(r) + 16*n(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3*y**3 + 2*q**3*y**2 + 349*q**3*y + 266*q**2*y**3 - 2*y**3 wrt q?\nAnswer: -12*y**3 + 12*y**2 + 2094*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 10 + 3 + 11)*(-21*h + 7*h - 13*h) in the form m*h + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 1.08?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 - 278*k**3\/3 + 4020*k**2 + 27528*k.\nAnswer: k*(k - 222)*(k - 62)*(k + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:37 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Let x be 5\/(1*(-1)\/13). Let a be 12\/(-10)*x\/26. Calculate the highest common divisor of k and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 13*p**2 - 11*p + 12. Let m be f(-12). Let v = 3 - 2. Sort -5, m, v.\nAnswer: -5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 5*t**2 + 5 + (-t + t + t**2)*(-2 - 2 + 2).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 1271*w**5\/5 - 157*w**3 + w**2\/2 + 826. What is the third derivative of x(b) wrt b?\nAnswer: 30504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1028, -3139, -6654, -11579, -17920, -25683, -34874, -45499?\n\"Answer: -y**3 - 696*y**2 - 16*y - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2466.9 - 2467. Which is the closest to v? (a) 0.06 (b) -1 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -104.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 29. Determine h(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118 + -112 + -1 + -9 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 13 = -6*n. Suppose 4*j - 4*u - 63 = u, u + 39 = n*j. Solve y = 2*t - 10, -2*y = -4*t + 2*t + j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 9. Let q be k(13). Let z(p) = p**2 + 19*p - 16. Let h be 249\/(-12) + (-9)\/12*-1. Let d be z(h). Put d, 5, q, -2 in descending order.\nAnswer: 5, d, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, o: 2, y: 2, r: 9}. Give prob of sequence uou.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/8)*p**0)\/(p\/(p*(p**(-1)\/p)\/p*p*p))**(-11))\/((p*p**(-1\/2))**(5\/18)*((p**(-1)*p)\/p)**3) assuming p is positive.\nAnswer: p**(989\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 87144256 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:37 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -2\/3*c**3 - 4*c - 3*c**2 - 17. Let t(u) = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -116. Let z = x + -482. Let t = 396.99999793 + z. Round t to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)\/k*k*k\/k**(-5))**48*k**44*(k*k\/((k**(-3\/2)\/k)\/k*k)*k)\/k**(-1) assuming k is positive.\nAnswer: k**(709\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) + sqrt(130)*-2*-2 - sqrt(130)) - sqrt(130)) + (sqrt(130) - -6*(sqrt(130) - sqrt(130)*3)))\/(-4*6*sqrt(40)*2).\nAnswer: 5*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*d + 6111 - 20237 = 717 + 16727 for d.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 20 = 3*j. Which is the second smallest value? (a) j (b) -0.05 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 775?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*d - 2495*d - 169*d - 114*d = -283220 for d.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 130 = 151. Let q(m) = m**2 + m + 2. Let d be q(-2). Suppose d*y - 34 = i*y. Calculate the remainder when y is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g**3 + 22*g**3 + 2*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwfvwfvvvvvw. What is prob of sequence vf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -374 - -645. Let p = b - 277. Is -5\/4 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - ((-39)\/5 + 3). Which is the second smallest value? (a) 3\/7 (b) -0.1 (c) w (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 20*h - 12. Let x(b) = -7*b + 4. Suppose -65 = 4*v + 9*v. Give v*i(d) - 14*x(d).\nAnswer: -2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*d - 78 = -21, 0 = 4*j + 2*d - 30. Suppose -f + j = -3. Calculate the least common multiple of 10 and (f\/24)\/(2\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536 is divided by 86.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 232303\nAnswer: 4\/232303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 17650204?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 309*j - 424*j + 3 + 1.\nAnswer: -733*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 2*l - 6*l + 6*l + 2. What is g(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - l. Let v be t(-2). Suppose 0 = -2*z - z - v. Let c be 3 + 0 + z + -2. Let f(u) = -u**2 - u - 1. Calculate f(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 10*v - 25. Calculate h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 301079, 602160, 903239, 1204316, 1505391, 1806464, 2107535?\n\"Answer: -r**2 + 301084*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 16*j**5\/5 - 10272*j**4\/5 + 1638356*j**3\/5 + 3305012*j**2\/5 + 2071104*j\/5 + 414736\/5 = 0.\nAnswer: -1, -1\/2, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 5:22 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddt when three letters picked without replacement from {g: 5, d: 2, i: 10, t: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*s - 13, 4*s = 4*n - n - 19. Suppose -n + 17 = 4*x + 4*d, 2*x + 12 = 3*d. Suppose x = -0*f + 3*f - 9. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.523 + 0.405. Let d = -0.182 + s. Which is the nearest to -0.52? (a) -2\/9 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - f - 1 + 23, 4*f - 8 = 0. Suppose -u*a = -5*q - 25, q = a + 4*a - 1. Let j be q\/7*28\/4. Let i(m) = m + 1. Give i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12680 and 2695768.\nAnswer: 13478840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3. Suppose -21 = 5*u - 2*u - 3*p, u = -2*p - c. Let h(v) = -7*v + v - 6 - v**2 - 2*v. Determine h(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -29*k + 108 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*o + 114*o + 69*o + 4043 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 855 and 39900.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*f**2 - 4*f**3 + 2*f - 2 - 19*f**2 to v*f**2 + i + z*f**3 + c*f and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 + 3*t**2. Let a(r) = -r**2 - 4 - 6*r**3 + 5 - 2 + 7*r**3. Let o be 6*2*(-1)\/(-2). Suppose -3 = -5*n + o*n. What is n*a(g) - b(g)?\nAnswer: 2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 39*i + 207. Let g(b) = 19*b + 103. Let r(t) = -4*a(t) + 9*g(t). Let k be r(6). Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 + 323. Suppose -5*q = -z + 56 + f, -2*q = 4*z + 74. Suppose 0 = 3*l - l + 2*r + 66, -l + 4*r - 48 = 0. Is q != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:29 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, w: 2}. Give prob of sequence uwuu.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485979732?\nAnswer: 2, 3, 7, 239, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/39096 and 119\/72.\nAnswer: 39096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9944.663102 + 5\nAnswer: 9949.663102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1505, 2997, 4483, 5957, 7413, 8845, 10247, 11613?\nAnswer: 12937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35616 and 1381184?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 + 5*z**2 - 6*z - 5. Let s(j) = 2*j**3 + 3*j**2 - 3*j - 3. Let p be (5\/(-2))\/((-5)\/(-10)). Determine p*s(q) + 3*u(q).\nAnswer: -q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4207, -8729, -13649, -18967, -24683?\nAnswer: -30797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - n - 20, -2*d - 2*n = 0. Let l(b) = 2*b**2 - 7*b + 5. Determine l(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02458397 times 0.074\nAnswer: -0.00181921378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w - 60 = 8. Let a(g) = -2*g**3 - g**2 + 4*g + 5. Determine a(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207 - 0.14\nAnswer: 206.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -41772 - 1\/3*h**2 - 236*h = 0.\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 + -12312002300?\nAnswer: -12312003200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, p: 2, b: 2, m: 2, c: 4, f: 1}. What is prob of sequence mj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 335.7837 weeks?\nAnswer: 56411.6616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21011 (base 3) to base 6.\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, i: 4, y: 1, m: 3, f: 1}. Give prob of picking 1 f and 1 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -634, 5, 2, -3.\nAnswer: -634, -3, 2, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3548436880 rounded to the nearest one million?\nAnswer: -3548000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.908 less than -4?\nAnswer: -78.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/374*(-4)\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 3 - 11) + 32 - 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i**3 + 3*i - 2. Let w(a) = a**3 + a. Determine l(h) - 3*w(h).\nAnswer: 9*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -22 - 29 - 13\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14164*l - 20041*l + 21317*l)*(2 + 2 - 2).\nAnswer: 30880*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/(-28))\/((-1)\/2)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 0*n + 1 - 3\/2*n**2 - 1\/3*n**3. Find the second derivative of a(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 0*f**2 + 6*f**2 - 4*f**2 + 2 - 2 + (4 - 1 - 5)*(-f**2 + 4*f - 4*f) in the form h*f**2 + b + t*f and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-21 + 1))\/(-7)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 60 - 42 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 891349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*r = 300*r - 1162080. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1681, 3360, 5039, 6718, 8397?\n\"Answer: 1679*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27 (b) -10 (c) 5 (d) -74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*z**2 + 2866*f**2*z - 15*f**2 - 12*f*z**2 - 2425*z**2 - 1 wrt z.\nAnswer: -4*f**2 - 24*f - 4850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h**2 + 14*h**2 + 0 + 1.\nAnswer: -41*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*d**2 - 275*d**2 - 33*d**3 - 5*d + 183*d**2 + 18*d + d**4 to z*d**4 + l*d + j*d**2 + w + v*d**3 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s + 47. Let y be k(0). Suppose -5*v + 122 = y. What is the remainder when 29 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89865.\nAnswer: 3, 5, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277346474.\nAnswer: 2, 43, 97, 33247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -126868, 49.\nAnswer: -126868, -54, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0.6. Let m = r + -1.6000056. Round m to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 322070553 and 211?\nAnswer: 322070342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/(-27)*(8 + (-2 - 0)). Let c(u) = u**3 - 34*u - 14. What is the tens digit of c(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y + 6*y + 2 - 12*y - 4. Let d(p) = -p**2 + 9*p - 4. Give -2*d(s) + 5*h(s).\nAnswer: 2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/5 + 408*s**3\/5 + 807*s**2\/5 + 402*s\/5.\nAnswer: 3*s*(s + 1)**2*(s + 134)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 + b - 4. Let n(p) = -p**2 + p - 1. Let v = 0 - -1. What is v*w(y) - 2*n(y)?\nAnswer: -3*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20)\/sqrt(4) - sqrt(5))*6 - (sqrt(80) + -1 - sqrt(80)))*4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 - 6*j + 1. Let y be n(6). Let q = -14 + 19. Let f(u) = -u**2 - 5. Let m(k) = 1. What is q*m(x) + y*f(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**5\/240 + 5*j**4\/96 + j**3\/6 + 46*j**2. Factor l(v).\nAnswer: (v + 1)*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 21*m**2 + 22*m - 38. Let w be k(20). Suppose 0 = 2*a - w + 8, 3*t + 9 = 5*a. What is the remainder when 40 is divided by (0 - -7)\/(36\/t + 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49663332.\nAnswer: 2, 3, 53, 26029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226533427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 830185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 227 in descending order.\nAnswer: 227, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a. Let r(j) = -j. Give q(u) + 3*r(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 + 35 - 186 - 23*o to the form c + y*o and give c.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13721*w**3 - 10 + 17*w - w**4 - 13719*w**3 - 7*w as i*w + l*w**4 + d*w**2 + s*w**3 + v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2059 + -2059 + -4 + 0 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - 2)*(3*t + 2*t + 0*t).\nAnswer: 45*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 3*l - 2. Let x be f(-1). Let a(k) = 3*k + 3. Let n be a(x). Suppose 12 = 3*b + n. Solve 6*o = b*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose -x = -j*x - 4. Let k be (-17)\/x - 2\/(-4). What is the highest common factor of k and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 603*i**3 - 636*i**2 - 7*i - 94322873.\nAnswer: 1809*i**2 - 1272*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(190)*-2*2 - (sqrt(190) + (sqrt(190) - sqrt(190)*-1)*1))\/((sqrt(10) + sqrt(50)\/sqrt(5))*-2*2).\nAnswer: 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (41\/205)\/(3\/330). Solve -28 = 5*u + 14*c - 13*c, -4*c = 2*u + p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 1\/149, 1\/9, 5, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*b + 16. Let x(j) = j**3 + j**2 - 3*j + 2. Is x(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -18*f**2 - 6*f. Let u(w) be the third derivative of -w**4\/24 - 841*w**2. Calculate i(o) - 6*u(o).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1185, -2371, -3559, -4749?\nAnswer: -5941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -204 - -199. Which is the nearest to 10\/13? (a) h (b) -4 (c) 0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, -4\/3, 5\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33132 + 33131.942878. Let a = -88.943 - -89. Let j = i + a. Round j to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5908 and 18328093.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4868559?\nAnswer: 3, 180317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(26\/91))\/(574\/10988).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*k = 65*k + 70656. Let y = k - -4933. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48316, 50033, 51750?\nAnswer: 53467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28436.\nAnswer: 2, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00807921 rounded to five decimal places?\nAnswer: -0.00808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 28914.4.\nAnswer: 1734.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 3\/2*w**2 + 0*w**3 + 3\/10*w**5 - 3\/4*w**4 + 13 - 3\/2*w. Factor g(r).\nAnswer: 3*(r - 1)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19939889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(6\/(-15))\/((-4)\/50665). Suppose 0 = -21*y + 19435 + l. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -0.1, -21, -9, -1\/4 in ascending order.\nAnswer: -21, -9, -1\/4, -0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:52 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 371 - 370.7. What is the nearest to 2 in 3, 0.1, 4, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: How many minutes are there between 11:00 AM and 4:13 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*f + 60 + 30, w - 3*f = 14. Is 907*-4*(-5)\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, -8\/7.\nAnswer: -4, -8\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29009*c**5*y**3 - c**5 - 9*c**2*y**3 - 129*c**2*y**2 + 2*y**2 + 10*y wrt c.\nAnswer: -1740540*c**2*y**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -310*c + 42256. Let f be t(0). What is the greatest common factor of f and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 130 - 82 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*t - 473*t - 30 = 0. Let s be 1 + 1 + 1*8. Sort s, t, 1 in ascending order.\nAnswer: 1, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4311313970547*q**2\/4 - 3596379*q - 3.\nAnswer: -3*(1198793*q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wndxfhd. What is prob of picking 1 n and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -0.264, 2\/3, 2\/1087, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 - 4*v**2 - 4*v - 4. Let s(r) = -21 - 93*r - 78*r - 21*r**2 - 15*r**3 + 150*r. Let p be ((-6)\/4)\/((-6)\/(-16)). Determine p*s(o) + 21*i(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z**3 + 6*z + 10. Let y(b) = -9*b**3 + 7*b + 11. Let d(a) = -5*k(a) + 4*y(a). Find the second derivative of d(w) wrt w.\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21117*f + 1133 = 21220*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 4*a**5 - 4*a**5 + (-3*a**3 - 2*a**3 + 4*a**3)*(-a**2 + 5*a**2 + 0*a**2).\nAnswer: -9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116547190.\nAnswer: 2, 5, 11654719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.224 take away 0.04570629634?\nAnswer: -0.26970629634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751340106?\nAnswer: 2, 3, 11, 3794647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 12 = s. Let v be ((-2)\/(-20))\/(s\/(-30)). Let y(f) = f**2 + 6*f + 5. Let j be y(-5). Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 452 + -241. List the prime factors of h.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 25 = -4*v - 5, -5*v + 5*x = -25. Let c be 2 + v + -5 + 4. Solve c*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312585.42042116 + -0.11.\nAnswer: -312585.53042116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 = -2*n - k + 174, -5*k + 27 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24090997?\nAnswer: 7, 491653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1675.\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22*(-4623)\/1518 - -2\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*29)\/(9\/6). Suppose -5*p + i = 18. What is the least common multiple of p and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**7\/10 + 209*w**6\/120 + 32*w**5\/15 - 121*w**4\/6 - 24*w**3 + w**2 - 673*w - 2. Determine t, given that s(t) = 0.\nAnswer: -9, -2, -2\/7, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 54. Let c(m) = -2*m - 10. Let d(s) = -4*s - 21. Let l(v) = 13*c(v) - 6*d(v). What is the remainder when p is divided by l(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 5*y**4\/12 + 7*y**3\/3 + 12*y**2 - 2*y. Let i(v) be the first derivative of n(v). Differentiate i(h) with respect to h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-70)*2)\/((-439)\/(-878))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -806, -3236, -7292, -12980, -20306, -29276?\nAnswer: -39896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 41, -1.\nAnswer: -3, -2, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-13 + 1 - (22 - 22))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 2*w + 26 + (3 + 0 - 1)*(2*w - w - 3*w) + w + 0*w + 0*w)*(-4*w**3 + w**3 + 5*w**4 + 2*w**3 - 2*w**2).\nAnswer: -5*w**5 + w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12311 + 12306. Put 2, 37, h in descending order.\nAnswer: 37, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z - 398. Let k be y(-43). Let h(l) = -2*l**3 - l**2 - 2*l - 1. Let q be h(-1). What is the greatest common factor of k and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 499 - 554.4. Let n = 8.6 - s. Let o = n - 64.0000004. What is o rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 6)*905\/(-26). Let i = s + -209. What is the closest to -1 in -2\/9, i, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41792 divided by 20896?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f, -22 - 23 = -3*y - f. Suppose -d + 22 = y. What is the remainder when 27 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 5*x**2 + 6. Let c = 52 + -33. Let h = c + -14. Calculate g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**5 - 7*n**4 + 14*n**3 + 25*n**2 - 6*n + 15. Let g(p) = p**5 + 8*p**4 - 15*p**3 - 26*p**2 + 4*p - 10. Let j(s) = 2*a(s) + 3*g(s). Factor j(y).\nAnswer: -y**2*(y - 7)*(y - 4)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -374*n**3\/15 - 114465646*n**2\/15 + 14078672*n\/15 + 1224232\/15 = 0.\nAnswer: -306058, -1\/17, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = 0. Let q(t) = t + 4. Let y be q(x). Let u = y - -4. What is the least common multiple of 5 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.378 + 1561?\nAnswer: 1561.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 30 - 72*b**5 - 6*b**3 - 2*b**3 + 73*b**5. Find the third derivative of f(s) wrt s.\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3 + sqrt(245))*1)**2.\nAnswer: -14*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -21, -17, -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 2*q, -2*q + 3 = n + 7. Suppose b - 2 = -x, -3*b - 4*x = -n*x - 6. Suppose -b*y - 2*y = -32. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g*(g*g**(-2\/9))\/g*g*g*g)\/g)\/g**(-5))\/(g\/g**0*g)**(-43)*(g**(-4)*g**7)\/(((g\/g**(2\/5))\/g*g)\/g*g)**(9\/2) assuming g is positive.\nAnswer: g**(8737\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56183 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(112) - 3*sqrt(112) - sqrt(112)).\nAnswer: -12*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-15)*(-9)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221945002 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*t - 5*k, -5*t + k - 4*k = 15. Suppose t = r + 6*r - 301. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2774 - -4552. Suppose -110*x + q = -96*x. Calculate the remainder when x is divided by 1 + 16 + 1 + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*t + 7, 4*i - 5*t + 1 = 3*i. Let y = 7 - i. Let q be 4\/((-324)\/(-63)) + (-2)\/2*1. Which is the third biggest value? (a) y (b) -5\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -40*c + 12*c**2 - 215*c - 14*c**2 - 10658 - 37*c = 0?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/98 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - 1\/(-4). Is 5\/9 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 581, -8 in descending order.\nAnswer: 581, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 223 + 63 = 0. Suppose 3*d - 74 = z. What is the remainder when d is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 6*r**2 - 2*r**2)*(-3*r - 7 - 2*r**2 + 9 + 5*r).\nAnswer: 8*r**4 - 8*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/7 - 278*u**3\/7 - 564*u**2\/7 = 0.\nAnswer: -2, 0, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 400 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*w - 12 = 0, 0 + 15 = 3*p - 5*w. Sort 2, 4, p.\nAnswer: p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 1, -5, -1, -22572.\nAnswer: -22572, -5, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34642.7 millilitres in litres?\nAnswer: 34.6427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 17*o. Let h(d) be the second derivative of 79*d - 17\/6*d**3 + 0 + 0*d**2. Give h(a(q)).\nAnswer: -289*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*v + 1083 = 371*v + 386*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - v = n - 28, -21 = 3*n - 3*v. Let y(i) = -9*i - 29. Determine y(n).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188952 divided by 2\nAnswer: 94476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 7. Let t be j(6). Let u be (t\/6)\/(2\/42). Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20663, 20603, 20549, 20501?\nAnswer: 20459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*h, -2*h = -32*y + h - 43 - 1 - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 199*a**7\/42 - 34*a**3\/3 - 220*a. What is the second derivative of x(r) wrt r?\nAnswer: 3980*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235 - 329. Let q = 209 + m. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 - 76. What is the second derivative of 404*a + j*a**4 - 189*a - 308*a wrt a?\nAnswer: 1356*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/7))**(-14\/5)*(p**4*p)**2 assuming p is positive.\nAnswer: p**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 2\/87 in decreasing order.\nAnswer: 3, 2, 2\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-22.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86297426 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (1 - 2) - 1. Let g be (-14 + -1)*(-80)\/15. Suppose -g = -12*u - 68. Sort u, n, -9 in descending order.\nAnswer: u, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - 2*v. Suppose -5*c + 8 = -c. Let y(r) = 690*r**2 + 693*r**2 + 694*r**2 + 697*r**2 - 2775*r**2. Determine c*y(l) + q(l).\nAnswer: -5*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1063, 2430, 4407, 7300, 11415, 17058?\nAnswer: 24535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26567 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71, -76, -81, -86?\n\"Answer: -5*c - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.30637 times 633\nAnswer: 193.93221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -20*b**3 - b**2 - b + 1. Let m be q(1). Let z be 305756521\/m + (-2)\/(-6). Let p = -6359834 - z. Round p to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -511.35 and -2.\nAnswer: 1022.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 14 = -6*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4 + 73*i**2 + 0*i - i - 2 - 74*i**2. Let a(j) = -j + 1. Let d(r) = 5*a(r) + o(r). Determine d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (713 + 207 - 271)*(0 - 2 + 4)*(-5*g**2 + 0*g**2 + 2*g**2) in the form i*g**2 + m*g + v and give i.\nAnswer: -3894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 2*p**3 + 106*p**2 + 116*p**2 - 227*p**2 + 7*p + 27 to r*p + v*p**3 + g*p**2 + t and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -733, -1520, -2303, -3082?\n\"Answer: 2*q**2 - 793*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -19. Suppose 2*l - l - n = 3*c, l - 11 = c. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*1852.722.\nAnswer: 185.2722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 35*p**2 + 115*p + 46. Determine d(-38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-2656*w + 2366*w - 3719*w).\nAnswer: -4009*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + -16 + 2 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (411*y - 40*y + 74*y)*(-3 + 3 + 1).\nAnswer: 445*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-700)\/275 - (3 + -5). What is the third smallest value in 1\/2, 3\/4, m, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2195 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6403499924, -6403499923, -6403499922, -6403499921, -6403499920, -6403499919?\nAnswer: -6403499918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(300) + -4 - (4 + (sqrt(300)*-3)**2 + sqrt(300)).\nAnswer: -2703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from {j: 2, x: 2, n: 2, s: 4, i: 1, v: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 4}. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -817\/5*g**3 + 814\/5 + 1\/5*g**4 - 2443\/5*g + 489*g**2 = 0.\nAnswer: 1, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-21422.79\nAnswer: -6426.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*h - 3*h - 14*h to the form d*h + s and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 957, 2138, 3789, 5910, 8501, 11562?\nAnswer: 15093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41864527.\nAnswer: 3529, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/10))**(1\/8))**(-33) assuming j is positive.\nAnswer: j**(33\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 264 + -267. Let w(p) = 81*p**2 + p. Is 66 a factor of w(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175542 and 2?\nAnswer: 175542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -2\/113 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:48 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - j + 4 = 0, 0 = -2*l + 2*j + 1 - 9. Put -143, l, -5, -4 in descending order.\nAnswer: l, -4, -5, -143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 41925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 79*c**2 - 73*c - 575. Calculate q(80).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*(-52)\/(-78).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35458, -172, 1 in decreasing order.\nAnswer: 35458, 1, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 2*w. Let l be j(1). Let c be l - 13\/5 - -1. Let g(a) = -a**3 + 4*a**2 - 4*a + 2. Let p be g(3). Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/(-1113))\/3)\/(3\/(-15)*2160\/1512)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 27*h - 80. List the prime factors of q(9).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19881*y**3 + 257*y**2 - 983172*y - 56 wrt y.\nAnswer: 119286*y + 514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -10\/9 (c) -0.05 (d) -5 (e) 1\/18 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:07 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11086 and 1994054?\nAnswer: 480567014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Let c be ((-4)\/(-33))\/(v\/(-6)). Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(162) - (sqrt(162) + 1) - sqrt(162))**2.\nAnswer: -163 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m**2 - 2*m)*(-84 + 84 + 24*m).\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = 184 + 3184. What is the remainder when x is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -5.1. Let p = m - 5.1. Let q = -2.1 - p. Which is the closest to q? (a) -1\/4 (b) -0.2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 0*p**3 - p**3 - 2 + 3)*(4*p - 5*p + 0*p) to a*p**4 + v*p + q*p**3 + o*p**2 + n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -101. Let a be 3\/(u\/6) + 114\/22. Let t(k) = 6*k**3 - 2*k**2 + 2*k - 1. Let z be t(1). Solve -4*f - a = -z*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 14 + 6 = 0, 1415 - 1419 = -10*p - 2*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 258608805 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 82, -0.5, -4, -1524, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -8 - (-9 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.3 + 6.5. Let u = f - 3. Let r = 0.03 - -0.07. Which is greater: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99589.32cm to kilometers.\nAnswer: 0.9958932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*x - 56 = 0. Put -1, x, -2 in decreasing order.\nAnswer: -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -50432 (c) -704\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33, 66, 99, 132, 165, 198?\n\"Answer: 33*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d + 0 - 4)*((0 - 2 + 0)*(-18 - 13 - 1) + 1 + 5 - 4).\nAnswer: -132*d - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + v)*(-v - 5*v - v) - 6*v**2 + 3*v**2 + 22*v**2 - 2*v**2 + 5*v - 5*v.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-13 - -1)\/(-1). Let v be ((-1)\/2)\/((-3)\/b). Suppose 0 = -5*g + g + 8. Solve -2*j - v*z - 26 = g*z, -3*j + z - 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u**(-2\/67)*u))**41\/(((u**(9\/5)\/u)\/u)\/(u*u**(-2\/9)\/u*u*u)))**(-3\/2) assuming u is positive.\nAnswer: u**(56981\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + (sqrt(98) - (1 + sqrt(98))) + sqrt(98) - (-2*sqrt(98) - sqrt(98))*5) + -1*(1 + 1 + sqrt(98)))**2.\nAnswer: 110250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16599108887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/5, -11\/79, 0.01, -1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 - 863 = -12*l. Differentiate -2*i + 20*i - l + 29*i - 3*i wrt i.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6918 + 20243. What is the highest common factor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, s: 9}. What is prob of sequence ssss?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(45\/(-9)) - (-4)\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 2)*(3*q**4 + 2*q**4 - 4*q**4) - 4*q**4 + 4*q**4 - 5*q**4 - 367*q + 367*q - 141*q**4 to g*q + f*q**4 + r*q**3 + p*q**2 + k and give f.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 p when four letters picked without replacement from {p: 3, g: 1, w: 4, b: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, -5, 30\/41, 2\/85, 5?\nAnswer: 30\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/12 + 15*c. Let y(n) = -n**2. Let f(m) = -7*m**2. Let z(b) = 3*f(b) - 24*y(b). Calculate h(z(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 79*t - 29*t - 25. Let h(f) be the second derivative of 0*f**2 - 2*f + 0 + f**4 + 1\/6*f**3. Determine h(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 587621656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*x + 8 = 0, x = -0 + 2. Let q = 0 - -1. Find the common denominator of q + o - 524\/24 and -13\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2194616*f*l - 635*f + 220 wrt l.\nAnswer: -2194616*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12930.\nAnswer: 2, 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1471*w + 137. Let y(q) = -1472*q + 140. Let d(s) = 5*m(s) - 4*y(s). Is d(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8493 - 8488. Solve -p - 4*p = -b - 3, -j*b + 4*p - 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**7*p**(-1\/2)*((p\/p**(-4\/3))\/p)\/(p\/p**(-1\/3)) assuming p is positive.\nAnswer: p**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 377*r**2 - r + 1. Is h(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -400, -406, -394, -358, -292, -190, -46?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.35*-42\nAnswer: 140.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.89 (b) 9.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/8 - 783*a**2\/8 - 15582*a - 1409387\/2.\nAnswer: -(a + 98)**2*(a + 587)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 670668.8 meters?\nAnswer: 670.6688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 47, 53, 61, 71?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982*t + 226*t + 198*t = -79*t + 28261 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/7 + 9636 - 12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1458?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 67*m - 775. Let o be t(-77). What is the closest to -0.2 in 0.09, -2, o?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 3*h**2 - 3*h - 2. Let a = 50 + -36. Calculate the least common multiple of i(-2) and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 10*h**2 + 15*h - 10. Let v be f(-11). Let d = v - -51. List the prime factors of (0 + (-604)\/8)*(1 + d).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/420 and -982*1\/(-1848) - 34\/51.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -93, -180, -295, -438?\n\"Answer: -14*n**2 - 17*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -5)*2*1. Let k be (2 - 2) + x\/1. Let d be 5\/(-9)*k\/10. Is d less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 4*p - 5. Let o be (26\/(-1))\/(-8 + -3 + 9). Suppose -6*n - o = 11. Let l(j) = -3*j**2 + 7*j + 9. Give n*l(q) - 7*a(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 18 = -5*u. Let s = -13 + 18. Find the first derivative of 9 - u - 2 - 2 + s*i**2 wrt i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s + 3. Let b(f) = 67561*f**2. What is h(b(v))?\nAnswer: 743171*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43807647.\nAnswer: 3, 13, 263, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 29. Suppose -4*d = 4*p - 36, -2*d + w*p = 9 + 8. Put d, -5, -0.38 in ascending order.\nAnswer: -5, -0.38, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 1.7. What is the third biggest value in 3, -8, z?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14212 + 26435. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6981 and 234?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202141002 (base 5) to base 8.\nAnswer: 3076114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 55. Suppose 5*y = l + 10, g*l + 0*y = 4*y - 8. Solve 0 = -5*x - l*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15318 and 54612?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o + 46*o - 25*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/7 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - k**2 + 6 + 2*k**2 - k + k - k**2 + (3 - 3 - 2*k)*(0*k - 2*k + 9*k) - 2*k**2 - 4*k + 4*k.\nAnswer: -16*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 132211 (base 4) to base 10\nAnswer: 1957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001792547364 to seven decimal places.\nAnswer: -0.0001793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 7*l**2 + l + 5. Let d be w(-7). Let n be d*(-3)\/(-6)*-3. Sort 4, 5, n in increasing order.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 426 - 459. Let c(y) = y**3 + 33*y**2 + 3*y + 117. Let v be c(h). Calculate the greatest common divisor of 1854 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.91055 centuries to millennia.\nAnswer: 7.791055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - r + 31, 0 = 4*a + 3*r - 10 - 28. Suppose 0 = -4*i - a*i + 1035. What is the remainder when i is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257570.\nAnswer: 2, 5, 43, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1976 + 3721. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u - 2*u)*(-2 - 4 + 4) - 2*u - 2*u + 2*u + u + u - 3*u - 3 + 3 - 2*u + (2 + 3 + 1)*(-3 - 3 + 5)*(3*u + 2*u - 3*u).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - -19 - (-14 + (-5 - 2) + 0 + 13).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 207397718.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.7. Let k = 2.6 + -3.3. Let a = k + x. What is the second biggest value in 0.2, 1, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 211 = 1649. Let s = i + -357. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 3, h: 5, k: 1}. What is prob of picking 1 k and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 43*u - 2353. Let o be k(55). What is the closest to -0.1 in 2\/39, 1, o, 0.5?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 959471, 1918952, 2878433, 3837914?\nAnswer: 4797395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -50*u - 41*u**2 + 40*u**2 + 50*u. Let a = -21 - -23. Let x(b) = -b**2 - 14*b**a - b**2. Determine w(x(p)).\nAnswer: -256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**3\/11 - 18012*i**2\/11 + 31816518*i\/11 - 31798500\/11 = 0 for i.\nAnswer: -4250, 1, 1247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19949137 to three dps.\nAnswer: -0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -34\/240521 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*f - 16, -2*f = -6*f. Let x = -9261 + 620475\/67. Let s = x + -117\/469. Which is the second biggest value? (a) s (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45700 and 3200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and -12.3226.\nAnswer: -480.5814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38454?\nAnswer: 2, 3, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -867285, -867291, -867291, -867279, -867249, -867195, -867111?\nAnswer: -866991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/3)\/((-12)\/18))\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxzxozoxzxzxx. What is prob of picking 1 z and 1 o?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 = i + 4*i, 2*i + 2 = -h. Let t = 4372 - 17587\/4. Find the common denominator of 71\/h*(-3 + 1) and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945375 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 628134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 479 = 42. Let p = 453749 - 453749. Which is greater: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 + 130*h - 53. Does 3 divide i(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112011 + -3301030?\nAnswer: -3123013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*u + 15 = -z, 5*z = 5*u - 15. Let b = 9 + z. Suppose b*x - 99 = 201. What is x rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 1\/15661 in ascending order.\nAnswer: -0.4, 0, 1\/15661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*j**3*n**3 + 400*j**3 + 3*n**4 + n + 2 wrt n.\nAnswer: 24*j**3*n**2 + 12*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66770726?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.922815g in nanograms?\nAnswer: 7922815000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 12) to base 7\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32520, -130073, -292684, -520359, -813104, -1170925, -1593828, -2081819?\nAnswer: -2634904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o + 3 + 4*o + 5 + 3*o. Let n(g) = 20*g**2 - 1. Let a be n(1). Suppose -12 + 5 = -x - 3*b, -4*x = 3*b - a. Calculate v(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 5, -213, 27, -4, 10 in ascending order.\nAnswer: -213, -4, 2\/23, 5, 10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 432*a + 20965. Calculate x(-48).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -21\/538, -0.5, -0.4?\nAnswer: -21\/538","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*h + 27*m - 32*m, -4*m = -8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 4 (b) 0 (c) 6.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y**3 + 29*y**2 + 2*y - 14. Let g(f) = -6*f**3 - 14*f**2 - f + 8. Calculate 7*g(s) + 4*z(s).\nAnswer: -2*s**3 + 18*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-75)*((-18846)\/36)\/(-349).\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 83. Solve 3 + 1 = s*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -672, -360, 0.07 in increasing order.\nAnswer: -672, -360, 0.07, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 9*w - 7*w + 3*w**2 - 12*w + 42*w + w**4 + 0 in the form n*w + z + p*w**2 + h*w**4 + b*w**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -3, -15, 3 in ascending order.\nAnswer: -15, -3, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 25. Let x(u) = u**2 + 23*u + 10 - g*u + 0*u**2. Let j be x(-9). Solve -j = 4*o - 3*t, 4*t + 1 = 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((1621308\/(-2808))\/(-547))\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -342 in decreasing order.\nAnswer: -4, -9, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 20*c + 44. Let v = -39 - -49. What is the hundreds digit of a(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 16*a + 84. Let f be t(-5). Suppose 4*k = 2*l + 1682, f*l + 1691 = 4*k - l. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-2)*4\/5*35\/(-182)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2)\/((-18)\/192). Let f = 6 - 3. Suppose b = 4*c, i - c = -f*i + 28. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*t = 124*t - 546. What is the greatest common divisor of t and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (8 + 5 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 5311*h + 284294. What is r(53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -17*m + 13*m - 9 - 11*m. What is the remainder when w(-2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-3) - 35)\/2. Let q(u) = 19*u**2 - 2*u**3 + 3*u**3 - 586 + 599 + 22*u. What is the units digit of q(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 57 (b) 1\/3 (c) -158 (d) 0.3 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -59, -114, -187, -278?\n\"Answer: -9*q**2 - 10*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + r**4 - 17*r + 8*r - r**3 + 0*r in the form a + k*r**3 + m*r**2 + i*r**4 + s*r and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2471998, -3, -1\/2 in increasing order.\nAnswer: -2471998, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvsvlsvssvvvvvvv. Give prob of picking 2 s, 1 l, and 1 v.\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.65 + -0.65. What is the biggest value in 4, -2, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -3\/7, -1\/3, -11, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v**2. Let j(x) = 26*x. What is y(j(s))?\nAnswer: -6084*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -143, -4\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 346?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 14472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftttfttttftt. Give prob of sequence ftt.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14756 = -12*z - 14864 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 20. Let z be s(0). Let w = -20 - z. What is the second derivative of 22*b**3 + w*b + 2*b - 19*b**3 wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -346*j**3 - 151*j**2 + j wrt j.\nAnswer: -2076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-3 - (-2 - -3)). Let o(w) = -5*w**3 + 4*w**2 - 3*w. Let p(k) = -9*k**3 + 7*k**2 - 5*k. Determine r*p(c) + 5*o(c).\nAnswer: 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4)*(-2 + 1 + 0)*(1 + 4 - 4)*(0*g - 2*g + 0*g)*(4*g**2 + 0*g**2 - 3*g**2).\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -1\/2*o**3 + o**2 + 0 + o. List the prime factors of v(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(sqrt(320) - sqrt(320)*-2) + 4 + ((-1 + sqrt(320))*1 - sqrt(320)*-2*-1))**2.\nAnswer: -768*sqrt(5) + 81928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -51, -10 in descending order.\nAnswer: -5, -10, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -14*t + 6*t. What is the greatest common factor of t and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 1605, 3329, 5681, 8661, 12269, 16505?\nAnswer: 21369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2.9, 3.7, -4\/7 in ascending order.\nAnswer: -4, -4\/7, 2.9, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6712695631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*h = 10 + 24, h - 4 = -3*x. Suppose 2*k + 9 = x*d, -8*d = 4*k - 4*d - 12. Suppose -r = -k*r. Solve -3*f - 3*q - 6 = -r*f, -2*f + 5*q = -10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -315 from -35.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - 1 + 1)*(-15 + 8 - 23) + 0*b**4 - 12*b**4 + 0*b**4 + (3*b + b - 5*b)*(-b**3 - b + b).\nAnswer: -41*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-48)\/(42\/(-7)))\/(1\/76*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 + -12.87. Let w = 10 + k. Suppose -x = x - 4. Which is the nearest to -1? (a) 3\/5 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*s + 88. Let m(n) = -n**3 + 4*n**2 - n + 4. Let o be m(4). Suppose o*z = -z + s. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.3615 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 10 + 18. Let o be 17875\/s*160*-4. What is o rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37250 and 133779650.\nAnswer: 7450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a**2 - 5*a**2 + a**2)*(-1 + 10*a + 19 - 20) as o + c*a**3 + t*a + b*a**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/3 or 4\/119?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.107 plus -3538.37498504?\nAnswer: -3536.26798504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 30*d**3 + 4*d**2 - 3*d. Let h(u) = -61*u**3 - 9*u**2 + 7*u. What is -3*h(b) - 7*n(b)?\nAnswer: -27*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**4 - y**4 - 5*y**3 - y**2 + 3*y**3 - 2*y to c + s*y + z*y**3 + u*y**4 + l*y**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**3 - 155*y**2 + 19*y + 11.\nAnswer: -18*y - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49493\/4 + -12373. Which is the nearest to 12\/23? (a) f (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*k - 5 = 0, -2*i = -k - 13 - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -80*n**2. Let d(t) = -97 + 97 + 0*t**2 - 10*t**2. What is d(s(u))?\nAnswer: -64000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from ffvfjxffffvfffjf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 6:47 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6308416*a + 507796.\nAnswer: 6308416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010852 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1356 - -2268. Suppose -26 + 101 = 3*r. Suppose -r*z + 19*z = -c. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2970.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107903?\nAnswer: 107903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6*n = -13*n + 281 - 327, 0 = -2*a - n - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2 - 11206*q. Let d(t) = -4*t. What is d(z(n))?\nAnswer: 20*n**2 + 44824*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*v = 2, -56 = -0*d - 2*d + 4*v. What is the lowest common multiple of d and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9475 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-395)\/(-237))\/(10\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481457410 to the power of 1\/2, to the nearest integer?\nAnswer: 21942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5622*a + 4831*a + 15029 = 0 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(15\/18*(-30)\/(-50)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*n + 8320 = 438*n - 17370 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3493792 is divided by 9520.\nAnswer: 9472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/7 + 104*d**2\/7 - 676*d\/7.\nAnswer: -4*d*(d - 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b**4\/25 + 6252*b**3\/25 - 39618*b**2\/25 + 71712*b\/25 - 25272\/25 = 0. Calculate b.\nAnswer: 6\/13, 3, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3435*q. Let l(y) = 1738*y + 3. What is p(l(w))?\nAnswer: -5970030*w - 10305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 13*v + 16. Suppose 37 = 3*p + 1. Let y be l(p). Solve 3*s - 4*d + 23 = 0, y*d - 18 = s + s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9) + (-40 - (-7 - 0)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6248677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/35, -0.1, -4, -0.7?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -545?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffzzffffffffz. Give prob of picking 2 f and 1 z.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -241362 divided by -66\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -15*a + 312. Calculate g(17).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 214 - 81 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose -22 = -a*j + 16. Calculate the remainder when j is divided by 6\/(-15) - (-111)\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 93*b**2 - 2052*b - 504. Determine j(55).\nAnswer: 1586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 3, -0.09, -0.25, 1\/13?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 17 = -5*z + 108, 5*g + 4*z + 125 = 0. Let f be (-148)\/g + 30\/375. Let s(m) = -2*m + 6. Give s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.35, -52, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 13 + 1 + 2 - 3 - 1 - 1 - 1 + 1 + (-2 + 1 - 1)*(-1 + 0 - 2))*(-3*q + 5*q - q).\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 11:32 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132935624 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d + 8*d + 2*d)*(17*d**3 - 350*d + 350*d) + 2*d**4 - 2*d**4 + 2*d**4 - 3*d + 3*d + d**4.\nAnswer: 326*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from zfccsng?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*j*s*z + g*j*s - 3*g*s*z + 2*g*z + 18*j wrt s?\nAnswer: g*j*z + g*j - 3*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -68. Let k = o + -17. What is the units digit of k\/(-20) - (-521)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 + 39*u**2 + 219*u + 290. What is y(-4)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -254070 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 990 and 5322735?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -61156 times -0.5?\nAnswer: 30578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*x + 35, x + 5*z + 43 - 13 = 0. Sort 3, x, -2 in increasing order.\nAnswer: x, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7}. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -702*n. Let t(f) = -25*f. Give -6*a(i) + 169*t(i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -59*v + 1. Let g be w(-2). Suppose -4*a + 21 = -g. Let i(x) = -814*x - 8814. Let y be i(-11). Calculate the highest common factor of y and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 5\/6*f**6 + 0*f**4 - 3 + 0*f**5 + 0*f**3 + 0*f - 1\/2*f**2. What is the second derivative of o(d) wrt d?\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7449*g**4 - 7202*g**2?\nAnswer: -178776*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 < 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -32. Suppose 2*m**2 + 6 - a*m + 13*m + 6*m = 0. What is m?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + r)*(-6 + 4 + 0) + (1 + 1 - 3)*(r + 2 - 2) - 6*r + 9*r + 4*r as n*r + o and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 6*c**2 - 362*c + 6. Let z(x) = 2*x**3 - 10*x**2 - 720*x + 10. Calculate -5*f(o) + 3*z(o).\nAnswer: o**3 - 350*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*8\/6*72\/42?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 7*n**2 + 0*n**2 + n**3 - 2*n - 3*n**2 - 3*n**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2))**5\/(l\/(l*l**(-4\/13))*l**4\/l) assuming l is positive.\nAnswer: l**(152\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 17*q**2 - 5*q - 1. What is g(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t - 16 = 0. Is t\/(-24) + 231\/18 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1. Let c(t) = -59*t + 1. Let x(h) = -c(h) + f(h). What is the units digit of x(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1964, -3876, -5788, -7700, -9612, -11524?\n\"Answer: -1912*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*i**2 - 2*i + 218 wrt i?\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8172*k - 30 = 8167*k + 20*i, 2*k = -3*i - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 586 - 2912 = 2128. Calculate the remainder when o is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 42 + 36. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (39 - (88 - 44) - (64 + -2))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20)*(2 + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 7) to base 15.\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 3*x - 2*x + (-x - 3*x + 2*x)*(1 - 1 - 6) + (-10 + 10 - 4*x)*(-1 - 1 + 3) + 1 - 2*x - 1 + (-4 + 2 + 0)*(-2 + 2 + 2*x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3097\/3 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204)*1*2)\/(sqrt(12)*-1*-5 - sqrt(1452)*1))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3132 (base 4) in base 16?\nAnswer: -de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 2. Determine s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u, -5*u + 1 + 14 = j. Suppose -j*o + 0*o = -3*l - 10, 0 = -l + 2*o - 5. Solve 2*v = v - 4*y + 2, l*v + 14 = 4*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - -2)*(1206\/126 + -9). Solve -5*s = 2*r + 16 - 26, -v*r + 20 = -2*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31099 or 31092?\nAnswer: 31092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -912*m + 8. Let c(x) = -x + 1. Let r(v) = -c(v) - j(v). Is r(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 25 = 11. Suppose x = -2*x - 4*a - 17, i = -2*x + 4*a. What is the remainder when 43 is divided by (11\/3)\/(x\/(-21))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1791 - 10302. Round i to the nearest one hundred.\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9835781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/10*(-72)\/(-84). Let k(x) = 8*x + 8*x + c*x + x - 25*x - 34. Determine k(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 6*n**3 + 3*n**3)*(-n - 2*n + n) + 0*n**2 + 2*n**4 + 0*n**2 - 1 - 3*n**4 + 1 + (0*n + 0*n + n**2)*(-n**2 - n + n).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/13)*w)**(-3\/40) assuming w is positive.\nAnswer: w**(-33\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 14 (c) 0.8 (d) -8 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 + -13 + (-9 + 12 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7531848*j**2*n - 2*j*n + 42*j + 48*n + 17 wrt j?\nAnswer: -15063696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**1)**(-50)*((g\/g**(-2)*g)\/g)\/g**(-3))**(-45) assuming g is positive.\nAnswer: g**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 180233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -19*m**2 + 3*m + 1. Determine l(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21150\/5 + 9 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3250 + 3253.0508. What is r rounded to two dps?\nAnswer: 3.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39421*m - 6*m**2 + 53*m**2 + 198*m**2 - 39421*m as j*m + c*m**2 + s and give c.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073991536.\nAnswer: 2, 67124471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 5*t**2 + 25*t - 141. Calculate w(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9)*(-38367)\/(-80997).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a7221 (base 13) in base 16?\nAnswer: 159841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:24 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2. Let l be (-2)\/3*63\/(-6). Suppose -13*p + 18 = -8. Let a(g) = -6*g**2 - g. Calculate l*s(f) + p*a(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-870)\/35 + (-1043)\/298 + (-2)\/((-56)\/94)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i**2 + 1339*i - 8774. Calculate t(127).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (1 - -1)*1. Let t be (0 - 0 - -1) + p. Solve 4*k + 0*h - 3*h - 35 = 0, k - h - 10 = t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 739, 1276, 1813, 2362, 2935?\n\"Answer: 2*h**3 - 12*h**2 + 559*h + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*a + 16, 2*a - 8 = -3*d + 7*d. Suppose 3*b - 5 - 1 = d. Let 6*q - 20*q + 10 - 6*q**2 + b = 0. Calculate q.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 22*b + 111926 = -3*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 12. Let k = 14 - c. Let u(v) = 55*v**3 + 2*v**2 + 3*v - 3. Is u(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600296226 to the power of 1\/2, to the nearest integer?\nAnswer: 40004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 1. Let y = i - 7. Let v = y - -25. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 10324\/33757 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2009922 plus 0.6961?\nAnswer: -2009921.3039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141398737.\nAnswer: 73, 1936969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -0.2, 8, 733.\nAnswer: -19, -0.2, 2, 8, 733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - i**2 + 4*i + 3. Let j = 0 + -2. Let o be t(j). Suppose -3*f + o = -5. Solve p = f*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2210 + 12153?\nAnswer: 5543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1)\/(-1) - (2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-80)*50*(-4)\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2604 take away 0.4?\nAnswer: -0.6604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/(-2430)*24*726\/(-32) and -21\/46?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/3456 and 113\/10476?\nAnswer: 335232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/457, -4, 3\/7, -7 in ascending order.\nAnswer: -7, -4, -1\/457, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -13)\/(5 + -3). What is the highest common divisor of b and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45488312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3978, -4010, -4052, -4110, -4190, -4298, -4440?\nAnswer: -4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 8. Let d be c(-6). Let r = d + 22. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 - 47*u**2 - 278*u + 4623. Determine v(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 6*b. Let c(m) = -m**3 - 4*m**2 - 3*m - 6. Let s be c(-4). Let n be v(s). Suppose -5*o + 0*o + 5 = n. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163*q**2 - 1 + 6*q**3 + 2*q - 317*q**2 + 153*q**2 + (-2 + 1 - 1)*(5*q**3 - 2*q**3 - q**3) to g*q**2 + o + f*q + v*q**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 46147491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -41*z - 4. Let l(u) = -20*u - 2. Give 7*l(v) - 3*r(v).\nAnswer: -17*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-2\/19))*s*s**(3\/5))**(-19)\/((s\/s**(-1))**(-10)*(s\/(s**(-2\/23)\/s*s))\/((s**(-2\/5)*s)\/s)) assuming s is positive.\nAnswer: s**(-1137\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9582557.8 rounded to the nearest 100000?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -37*r**2 - 5*r - 4. Let m(g) = -g**2 + g + 1. Give c(d) + 4*m(d).\nAnswer: -41*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12431 + 24980. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 10*y + 5. Let d be o(10). Suppose 0 = 3*k - 0 - 9, d*g - 4*k = -2. Let c be ((-2)\/g)\/(1\/(-2)). Solve c*z - 10 + 0 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 16)\/(7\/56). Suppose -z = -3*v - v. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 6*l + 3*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2*-2) + -1. Suppose -7*s + x = -3*s + c, 0 = -3*s - 5*c - 14. Let t = 10 + 6. What is the greatest common divisor of s and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12*z**2. Let q(u) = 22*u**2. Determine h(q(x)).\nAnswer: 5808*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 + -397 + (0 - -2 - 3 - 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/708 and 74\/105.\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122.21 + -121. Let y = 33 - 33.51. Let z = i + y. Round z to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51, 604, 2133, 5130, 10087?\n\"Answer: 82*y**3 - 4*y**2 - 9*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 12) to base 2\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217 - -377. Let z be (9\/8*-2)\/((-12)\/u). Suppose 11 + 7 = 3*x. What is the highest common factor of x and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2026*q - 2779*q + 24586 = 300*q + 9271 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6130000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -91486 + -0.04?\nAnswer: -91486.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 3. Let w be i(-7). Suppose -2*g = -w*j - 252, -514 = -5*g + g - 2*j. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 12*b**2 - 10*b - 8. Let t be q(11). Let d(m) = -6 + 3 + 15*m + 0*m. Is 15 a factor of d(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 31 = 3. What is the units digit of (14\/4)\/s*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1392599, -2785213, -4177863, -5570567, -6963343, -8356209, -9749183?\n\"Answer: -3*y**3 - 1392593*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7265282 millennia to months.\nAnswer: 8718.3384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/975 and -54\/12195625.\nAnswer: 36586875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d = 36 + 120. Suppose d*n = 5089 + 2441. What are the prime factors of n?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 21*y + 3. Give r(5).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/12 + 1\/3. Let d be 2\/x - 15\/(-2). Let w = d + -6. Solve 2*f - 3*y - w = 0, -y = -2 - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3957, -7776, -11595, -15414, -19233?\nAnswer: -23052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 310\/(-22) + 9*5\/495. Let w(i) = 3*i**2 + 41*i. Let x be w(v). Solve -x = -4*p + 11*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/2))**(-6\/11) assuming n is positive.\nAnswer: n**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*b - 290261 - 12199 = 0. Calculate the highest common factor of b and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 962676652 divided by 707.\nAnswer: 1361636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -91 + 526. What is the first derivative of 4*x**3 - 86*x - 4*x**3 + 6*x**3 + q*x + 61 wrt x?\nAnswer: 18*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/7, -0.2, -35, 0.1.\nAnswer: -35, -0.2, -1\/7, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 7*l - 2*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/60 and -11\/667944.\nAnswer: 3339720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 53c (base 13) to base 11\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y - 3*y + 26*y - 49*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 13, 2.5, 0.6, 24, 0.3, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let p(c) = -587*c - 6. What is p(s(l))?\nAnswer: 587*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 0, -476, -3, -176 in decreasing order.\nAnswer: 5, 0, -3, -5, -176, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - b - 4 = 4, 5*b = 5*l - 20. Suppose 25 + 1 = 2*y. What is the remainder when y is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c. Calculate y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(1\/(-5) + (-12 - -12)). Put -2, a, 10 in descending order.\nAnswer: 10, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 - 6*w - 2. Let u(f) be the first derivative of f**4\/4 - f**3\/3 - f**2 + f - 29. Let i be u(0). Let r(k) = -k. Give i*l(n) - 6*r(n).\nAnswer: -n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.31 - -2.2. What is the third biggest value in b, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 114, 198, 300, 426?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.964 - -0.036. Let w = s - 59. What is the third biggest value in 3, -5, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p - 89. Let w be v(-9). Let h(q) = 115*q + 133. Let t be h(w). What is t rounded to the nearest ten?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Let h(k) = 162 + w*k - 162. Let l(t) = 16*t**2 - 6 + 4*t**2 + 4*t**2 + 4. What is h(l(i))?\nAnswer: 48*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246708370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29926964 divided by -4?\nAnswer: -7481741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + (-6)\/(-24). Suppose -2*q + 1 - 5 = a, -m + 131 = q. Suppose -5*n + 202 + m = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9903474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 3*b + 73*b**2 - 71*b**2 as z*b + q + g*b**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36382340 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 1, -8802, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/5778 and 29\/2319546?\nAnswer: 20875914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 4 - 12 + 28 - 14 - 39*s.\nAnswer: -39*s - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5\/7 - 1062778*z**4\/7 - 20170729308*z**3 - 2117686396292*z**2\/7 + 141195105158*z\/7 + 2117687459070\/7 = 0.\nAnswer: -265687, -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7792 + 491*l**2 + 7792)*(-2 + 2*l + 2) - l**3 + 3*l - 3*l.\nAnswer: 981*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/20 - v**4\/4 - 5*v**3\/6 + 3*v**2 - 2*v + 94. Calculate g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5.00000022. Round w to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 4*r - r + (0*r - r + 4*r)*(1 - 3 + 0).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - h. Let o be z(1). Suppose o = 2*u - 3 + 1. Is u < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, 10 in decreasing order.\nAnswer: 10, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -483 - -486. Suppose -x + 19 = m. What is the least common multiple of 84 and x?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 107 + -1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -7, -2, -0.52, 5?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at least as big as -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 5*u + 3. Let a(d) = d**2 + 1. Let v be a(2). Let z be o(v). Solve -q = 5*g - 16, 0 = -5*g + 5*q - z + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -75. Solve 5*s - 11 = -5*h + 4*h, 3*s + 4*h = -v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2 + 287*o - 5471. Give h(15).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 70471 + 70288 - 3*q + 70471 - 211230.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 15 - 17) + (1 - (13 + -2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-18))\/(49\/798).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, k: 3}. What is prob of sequence kxkk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*i + 5, 4*i = 3*f - 4*f + 15. Let k(n) = -n**2 - 5*n + 2. Let y be k(f). Suppose z = -3*z - 2*m + 68, 0 = y*z - m - 42. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -25. Suppose -6*f = -f - q. Factor -4*g**4 + 5*g**5 + g + 6*g**3 - 2*g**f - 2*g**2 - 4*g**5.\nAnswer: g*(g - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411*v + 10010 = -2683 - 26815 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12838877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*o + 9, -5*r - 2*o = -o - 16. Let p be (-6 - 232\/(-10))\/(r\/15). Is p greater than or equal to 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**3 - 34*z**2 + 28*z + 69. Let r(h) = 2*h**3 - h + 1. Let u(g) = b(g) - 3*r(g). Find w, given that u(w) = 0.\nAnswer: -1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 33*r**3 + 2*r**2 - 66*r - 60. Does 28 divide f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - -5.2. Let w be 14\/(-8)*-1 - (-32856)\/(-10656). What is the third smallest value in 1\/2, -0.3, w, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-69 - -49 - (-1 + -6))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 363 = -76*f + 372 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1436b97 (base 14) to base 6\nAnswer: -550211013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-6)*o*o)*o)\/(o\/o**(-1\/4)*o))\/(o**(1\/3)\/o*o)**(2\/183))**(-2\/13) assuming o is positive.\nAnswer: o**(-8227\/14274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2)\/(-4) - 187\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 - 106.00000637. Round a to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*n - 15, 4*r + n + 53 = -4*n. Let t = -9 - r. What are the prime factors of (-28)\/t + 0 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-3 - 16\/(-4)). Suppose y = 2*c - 4. Let u(w) = -3*w - 1. Let q be u(-1). Solve 0 = -4*d - 3*t + 7, -2*d = c*d - q*t - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2060*k + 1254534. Calculate h(-609).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.1228\nAnswer: -0.2456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.36 * 39857.\nAnswer: 54205.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 - 306\/(-30)) + (-1)\/(-2*10). Which is the closest to -2\/3? (a) 10 (b) -1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*sqrt(200) - sqrt(200)) + -4)**2 - (sqrt(22)\/sqrt(396) + sqrt(22)\/(sqrt(11)*-3)).\nAnswer: sqrt(2)\/6 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/19 - 90088*n\/19 + 1014480968\/19 = 0. What is n?\nAnswer: 22522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z + 1. Let t(u) = 32*u - 3. What is -7*q(j) - 2*t(j)?\nAnswer: 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -456 - -3106506?\nAnswer: 3106020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92414*m - 92414*m - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*y - 0*y. Let z = -3 - y. Suppose z*n - 25 - 5 = 0. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, p: 8}. What is prob of sequence pd?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-66)\/30) + (-1)\/5. Let n be 10\/4 - ((-2)\/4)\/f. Suppose n*s = 34 + 239. What are the prime factors of s?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4066641 (base 8) to base 14.\nAnswer: -20050d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c - 15*c + 10*c.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/4)\/(22\/(-88)). Let l be (2 + -3)*(-16 - v). Solve -l*f = -12*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.249 - -0.551. Which is the second smallest value? (a) 1\/4 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3781*n**3*s**3 + 2124*n**3*s + 1465*n**2*s**3 + 2*n**2 - 202*n*s**2 + n*s wrt n.\nAnswer: 22686*s**3 + 12744*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-122016)\/(-6944))\/(55\/(-77)).\nAnswer: -123\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(2\/27)\/m)*m\/(m\/((m*(m**(-6\/7)\/m)\/m*m)\/m)))\/(m**2\/m**(1\/6)))**42 assuming m is positive.\nAnswer: m**(-667\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, e: 2}. What is prob of picking 1 e and 2 r?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2*p**7\/21 - 2*p**3\/3 + p + 1. Let r(s) be the first derivative of a(s). Find the second derivative of r(w) wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {r: 10, v: 5, u: 1, t: 2, m: 2}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*y**4 - 154*y**4 - 105*y**4)*(-1 - 1 + 1) + 2*y**4 - 3*y**4 + 0*y**4.\nAnswer: 268*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 7*m**2. Let z be a(-7). Suppose -t + 8 = 3*t. Sort 3, z, t.\nAnswer: z, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-12 - -15) + -10 + 1\/((-3)\/(-27894))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.286\nAnswer: -1.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(3 + -6) - -23 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*p + 2*p + 3*p + (-4 + 4 + p)*(0 + 0 + 5).\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 - -100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = -4*o, -21*o + 4*w = -23*o - 16. Solve 0 = -2*y + o, -13*y = -5*z - 15*y - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -54 (c) -364 (d) 0 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j + 6. Let a be t(0). Suppose 3*r = a*r - 129. Let l = r - 13. Calculate the least common multiple of l and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/932 (b) -9 (c) -5 (d) -1 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from haaqaeaqahcccqqq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {f: 1, m: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19)*-3 - ((sqrt(190) - 1*sqrt(190))\/sqrt(10) + sqrt(19))) + 1 + -3 + (sqrt(19) + sqrt(1216) - sqrt(19)) + -4.\nAnswer: -6 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -605*d**4*n - 13*d**3*i**3*n - 3*d*i**3*n + 40*d*i**3 + 12*d*i**2 + 2*i**3*n wrt d?\nAnswer: -7260*d**2*n - 78*d*i**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + u + 17 = 0, -f - 15 = -4*f - u. Is 2\/f*2 - -1456 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 367*z**2 + 142*z + 8. What are the prime factors of n(-8)?\nAnswer: 2, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6366 + 3514 = -260*h + 1375 + 5133 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b - 80. Calculate the remainder when (570\/(-133))\/(4\/(-28)) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(2)*2).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v + 1263. Let x = v - 2599\/2. Calculate the common denominator of 7\/4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjssssjjsjs. Give prob of picking 4 s.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 16 + -921 + 860?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9945*j**3 + 13*j - 9947*j**3 + 63*j.\nAnswer: -2*j**3 + 76*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = 3*g. Solve k**4 + 2*k**2 + 0*k**3 - k**3 + k - 6*k**2 + 3*k**g = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7665 + 7670. Solve -5 - 9 = 4*a - 2*z, 0 = j*a + 2*z + 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k + 5*k - 7*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 424 = 11*u - 532 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*6 - (-3 + 11). Which is the second biggest value? (a) f (b) -9 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2. Let g(w) = 4*w**2 - 28*w. Give g(a(o)).\nAnswer: 4*o**4 + 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300 (base 8) in base 5?\nAnswer: -14331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*m - 458 - 83 + 2253 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = 4*i, 3*m + 12 = 5*i - 6*i. What is the units digit of 9\/(1*(i + 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6307537, -12615045, -18922563, -25230097, -31537653, -37845237, -44152855, -50460513?\n\"Answer: -q**3 + q**2 - 6307504*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 11 = -3*t - 3, 0 = 4*g - 4*t + 8. What is the fourth smallest value in 3, -5\/4, 0, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1176\/(-2)*2\/(-3). Let j be 0 - (-1 + (t - -1)). What is the units digit of j\/(-32) + (-1)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15003*i + 1027735 - 20042 = -72523 for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 61. Suppose -2*s + 74 = -124*f + 122*f, -2*f + 2 = 0. Let k = n + s. Calculate the remainder when 14 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 2:03 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05914 + -0.058. Round f to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -319 + 3503\/11. Let h = 667.191 + -666. Let n = h - 0.191. Which is smaller: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 8*h + 11. Suppose 0 = d + 5*b + 10, d + 3*b + 6 = 6*d. Suppose d = 7*z + 84 - 28. Calculate v(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 24. Let n = 12 - l. Suppose 10*j - 4 = 16. What is the third biggest value in 2\/11, j, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -325*p + 26. Determine z(1).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17463.689 - -17478. Round o to 1 dp.\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 4770.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.8 - -18.3. Let u = -256.6 + 257. Which is the second smallest value? (a) 18 (b) u (c) -2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - 6*l. Let x(o) = 3*o - 4*o**2 - 2*o**2 + 4*o**2. Let g(i) = -6*w(i) - 13*x(i). What is the second derivative of g(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 - 415.3. What is the biggest value in 0.5, w, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**7\/840 + u**6\/60 - u**5\/20 + 7*u**4\/24 - u**3 + 1. Let m(t) be the third derivative of v(t). Determine m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*u, 52*s = 48*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 q when four letters picked without replacement from qqqqqtqnqnqqqqqqttn?\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let n(z) be the first derivative of 1919*z**2\/2 + 11030. What is t(n(o))?\nAnswer: 1919*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnd when four letters picked without replacement from ndnnpnnppppxppndpx.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/5)\/(6\/(-165)). Let q = -3 - u. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0 + 0)*(2 + q - 2) + 0*q**2 - q**2 + 2*q**2 - 4 + 4 - q + 3*q**2.\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -64*r - 1. Let k be (-3)\/6 + (-9)\/(-6). Let f be y(k). Let x = f + 53. Do -12 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -4064.902, 3, 2, -2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/336)\/(12\/(-14))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -26\/5, 0.04, -0.5, 5, -1, -0.18?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 38304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13156 is divided by 376?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97\/8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-20))\/6 - 29\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(39\/(156\/40))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -49*t - 18. What is o(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 12\/(-30) + (-26)\/10. Let t(k) = 2*k + 4. Calculate t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14)*(-170)\/340. Let w = 3 - -2. Suppose w*t = 3*t + 8. What is the nearest to -2 in t, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/((sqrt(77) + (3*sqrt(77) + sqrt(77) - sqrt(77)))\/sqrt(11)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w + 15. Suppose w*h - 5 = 5*f + 8*h, -3*h = -3*f + 15. Suppose -f*s + 1 + 5 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 0. Let v = 11 + -9. Which is the second smallest value? (a) v (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3709, -7, 0, -1\/8 in decreasing order.\nAnswer: 0, -1\/8, -7, -3709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -140, -1\/3, 4\/5, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34043180 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.66234g in milligrams?\nAnswer: 16662.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1431 + 2406. Is 72 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.023862, -3?\nAnswer: -0.023862","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 - 109. Suppose 1121 = 2*s - l. Find the common denominator of (-2)\/4 + s\/(-144) and -13\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -51, -55, -57, -57, -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12535.5757 and -13033?\nAnswer: 25568.5757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00080885359 rounded to six dps?\nAnswer: -0.000809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 294 = -20*i. Let s = 72 - i. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 4*s + 2*s - 4*s - 4 in the form k + y*s and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 2 + 3*o**4 - o**4 + o + 3*o**4 - 6*o**4 to z*o**4 + r*o**2 + w*o + a + d*o**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-2)*(-9 - 180\/(-8)). Let n = l - 50. Suppose -11*d - n = -12*d. Solve 3*b = 4*p + 11 + 14, -d*b - 8 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*t - 31 = 0, -5*a = t + 16 - 45. What is the second derivative of -16*r + 9*r - 10*r**2 + 5 - a wrt r?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - ((-623 - -594) + (40 - 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 258135556 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -32*u**3 + 11*u + 11. Let n be o(-1). Solve -15*i + n + 28 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 16 - 4. Suppose 2*n + 27 = -3*q, 0 = -r*q - 4*n - 11 - 22. Sort 0, q, 4, -5 in ascending order.\nAnswer: q, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1329.54079 to one dp.\nAnswer: 1329.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 466.\nAnswer: -1\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 + 100010?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1464664, -1464701, -1464738, -1464775?\nAnswer: -1464812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6278182 = 17*c - 1737142. Round c to the nearest 1000.\nAnswer: -267000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 17847.\nAnswer: -4\/1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 8*v - 4. Let p be d(7). Let z(c) = 3*c + 3 + 24*c**2 - 2 + 0 - p. What is the tens digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4631 (base 12) to base 10.\nAnswer: 7813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16732*k + 1 + 5 + 16754*k + 3*k - 3*k - 2*k + (-4 + 0 + 2)*(2*k + 3 - 3) + 3*k + 2*k - 4*k.\nAnswer: 17*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*u**2*v - 2*j**2*u**2 - 88*j**2*u*v**2 + 4*j*u**2 - 9*j*v + 3*u**2*v**2 wrt v.\nAnswer: -176*j**2*u + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 35 - 0 - 76 - -20\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 5*h + 70. Calculate the remainder when 126*((-1638)\/(-216) + (-72)\/32) is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 4. Let z be i(9). Suppose -5*x = -m + 6, m - 3*x + 4 = -8*x. Suppose z*g - w + 4*w = m, g - w = 5. Solve g*s = -s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - i**2 + 17 - 16 + 12*i - 9*i - i**4 to the form b*i**2 + u*i**3 + n*i**4 + g*i + y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.5 - -11. Let r = 0.1 + v. Suppose -4*p + 2*f + 12 = 0, -4*p + 2*f - f + 16 = 0. Which is the second biggest value? (a) -0.5 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -600 + 592. Which is the nearest to 3? (a) 1\/8 (b) j (c) -2 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*o**2 - 33*o**2 - 10*o**2 as z*o**2 + j*o + w and give z.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1504, 1, 144, 7 in decreasing order.\nAnswer: 1504, 144, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679 (base 10) to base 12.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -60*w - 5007. Calculate the smallest common multiple of 230 and n(-103).\nAnswer: 11730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3184*c + 1822*c + 4296*c to v + b*c and give b.\nAnswer: 2934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*y - 0*y + 234 - 254, 5*y = -3*j + 58 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -36 (b) -20356 (c) 1\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 0\/2 - (-8 + 11). What is the closest to 0.06 in -1\/5, u, 5, -8\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3722311 and 5304769?\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-268)\/72 - -4)*(-2 + 68\/30)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 149760 = -43*k - 24*k. Calculate the remainder when k is divided by 110.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 8:07 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**6\/60 - i**5\/20 - i**4\/12 - i**3\/3 + i**2 - 3*i. Let f(c) be the first derivative of r(c). Is f(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(432) + sqrt(432) + sqrt(432) + -1 + sqrt(432) + 0)**2.\nAnswer: -96*sqrt(3) + 6913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5257926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11088509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6662, 6660, 6656, 6650, 6642?\n\"Answer: -w**2 + w + 6662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) 1\/5 (c) -9.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -507? (a) -5 (b) -22 (c) -1\/4 (d) 1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 11. Suppose 5*y - 2*u = 144 + 11, c = y + 4*u - 53. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 51?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2. Let o(i) = 5244*i**2 + 2*i + 43. What is o(c(s))?\nAnswer: 5244*s**4 - 2*s**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*s)*(-4 - 1 + 4) + (0*s + 2*s + 0*s)*(3 + 3 - 4) - 21*s + 39*s - 30*s in the form a + r*s and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y + 5. Let x(i) = 23*i + 25. Let b be x(11). Let j = b - 274. What is q(j)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 502675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218.01 or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 - (-1)\/(16\/26772) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60550.\nAnswer: 2, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 19 = f, -5*f + f + 16 = -3*n. What is the greatest common factor of 28 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 104, -9, 7, 6 in ascending order.\nAnswer: -38, -9, 6, 7, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/5 and 151 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96781, -96783, -96783, -96781?\nAnswer: -96777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2230?\nAnswer: 2230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*b*y**3 + 243*b*y**2 + b*y - 2*b + 12*y**3 + 3*y - 21380 wrt y.\nAnswer: -90*b*y + 486*b + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 1 g when three letters picked without replacement from {m: 2, u: 4, g: 8, r: 1}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 8.8?\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 46882?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/952699 and -107\/15762838.\nAnswer: 173391218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/(-5) + 4\/(-10). Suppose -3*w - 7 = u + b, 2*u = -4*w - 14. Solve -4*f + 1 = 2*a - 7*a, -u*a = -3*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 52, 65, 64, 49, 20, -23?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/13)\/i*i*i**4)\/(i**(-1))**(-25) assuming i is positive.\nAnswer: i**(-258\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5906494 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 841795189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2061)\/(-72) - 385\/616?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 79 + 2 + -22 + (-22 - 11)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 16 + 20*f**2 - 5*f**2 - 6*f + 16.\nAnswer: 7*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o = 65*o + 27086. Which is smaller: o or 933?\nAnswer: 933","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/8)\/(b*b**(-1)))**(-13)\/(b**(-4)*b*b\/(b*b\/b**4)*b*((b**(-1\/4)\/b)\/b*b*b*b)**(-4\/9)) assuming b is positive.\nAnswer: b**(-133\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35785 - 35750. Put i, 17, -3, 4, -5 in decreasing order.\nAnswer: i, 17, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 12 + 2 = 0. Let r be j\/4 - 1*(-2)\/4. Suppose 4*n + 7184 = -m - r*m, -35980 = 5*m + 5*n. Round m to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwvwwwwvwvwvwwv. What is prob of sequence vvvv?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1398*c - 59997. Determine b(-43).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*g - 310*g + 106*g + 110*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -563\/339 + -2\/339. Let x = -2.07 - -0.07. What is the third biggest value in w, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-8)\/28*1*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0.5, -0.4, 17\/2 in increasing order.\nAnswer: -5\/4, -0.4, 0.5, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l + 2. Let u be o(-1). Suppose 4*n + 20 = 3*i, -4*n + 2*n = 5*i + u. Suppose -3*x + 5*t + 1566 = 0, -3*x + 1593 = -i*x + 4*t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 147403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -95. Let l = -229 + 575. Suppose 3*t + 669 = 4*c, -2*t - l - 320 = -4*c. What is the highest common divisor of c and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248 - 220. Let p = 2\/1563 - 12518\/10941. Find the common denominator of p and (611\/21 - (-16)\/k)\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2799249\/41045 + -4\/8209. Which is the third biggest value? (a) v (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0.3212\nAnswer: 1.6788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.64 + -1.14. Which is the closest to -0.1? (a) d (b) 0.7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4284 and 19278.\nAnswer: 38556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -64. Solve -3*o + y - 3 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - 4*b + 1. Let l(z) = -5*z + z**2 - 2*z**2 + 6*z + 2*z**2. Let v(d) = c(d) + 2*l(d). Let j be v(-2). Put j, -5, 5 in decreasing order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {l: 1, d: 2, q: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -16115236, 0, 1 in ascending order.\nAnswer: -16115236, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**7\/17640 - a**6\/2520 + a**5\/105 - a**4\/12 + a**3\/6 - 36*a. Let m(f) be the third derivative of h(f). Factor m(i).\nAnswer: -(i - 2)*(i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Suppose -2*h - 3*f = -6*h + 141, 0 = -4*h + k*f + 131. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2, 2 = -3*w - 5*q - 0. Let n(f) be the first derivative of 2*f**3\/3 + 5*f**2\/2 + 2*f - 1. Calculate the lowest common multiple of n(-3) and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, and 1 p when three letters picked without replacement from qxzvvxxpxxivv.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let s be 0*(2*a - -3). Let t(h) = -2*h - 3. Let y be t(-2). Sort y, s, -2.\nAnswer: -2, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 12 - (-6 - -10)) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*c + 1328 = 0, -5*v = -0*v + 2*c - 1660. Suppose 4*f + 460 = 5*a - f, -4*a - 5*f = -v. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - o)*(0*o**2 - o**2 - o**2) + 0*o**3 + 5*o**3 - 3*o**3 - 2*o**3 + 2*o**3 + 2*o**3 - 2 + 2 - o**3 + (0*o + 6*o - 4*o)*(o**2 + 1 - 1).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 128*f + 324. What is s(-4)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11274.34 + -11274.25999976. Let j = c + -0.08. Round j to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67545300*w**6 + 189880701*w**2?\nAnswer: -8105436000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106804 is divided by 1556?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20 - 2*(5 + -7 + 1). Put i, 1, -3, 4 in descending order.\nAnswer: i, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/172 and -1\/11175?\nAnswer: 1922100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 11 + 3. Suppose y + h + f*h = 0, 3*y + 14 = 5*h. Let a be (1\/(-2))\/(y\/12). What is the nearest to a in -3, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1\/2*-8 + 12 + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -25 (b) 0.23 (c) -4.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esfefvxgs. Give prob of picking 1 x, 1 g, and 1 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 381986.7 nanograms in kilograms?\nAnswer: 0.0000003819867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5\/2 (b) 1 (c) 7 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 4, 2\/3, 2 in ascending order.\nAnswer: 2\/3, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1711422 and 3128382.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 3:12 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5443827.\nAnswer: 3, 1814609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 21*m + 11. Let j(p) = 4*p + 2. Let u(f) = -11*j(f) + 2*q(f). Let s be (6\/(-9))\/(2\/(-9)). Calculate u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -142*m + 297. Let v be i(2). Let o = -32 + 29. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -277, -706, -1369, -2302, -3541, -5122?\nAnswer: -7081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 11:26 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n**2\/2 + 10*n + 3\/2 = 0.\nAnswer: -1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1760*r. Let p(i) = 1052 - 532 - 520 + 2*i. What is v(p(z))?\nAnswer: -3520*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 7*l**2 + 51*l - 367. Determine k(5).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 + -76. Let k = 84 - y. Solve -k*b - 30 = 4*h, 4*h + h - 5*b = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34513766 and 19981654?\nAnswer: 379651426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4436 + 462?\nAnswer: 4898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 - 1. Let u(m) = -17*m**3 - 13*m**2 - 3*m + 1. Let d(o) = 2*n(o) + u(o). Let q be d(-5). Suppose -5*w - q + 3859 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -488 + 20?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 704649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 150386 * -29\nAnswer: -4361194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:35 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 67. Let a(l) be the second derivative of 0 - l - 2\/21*l**4 + 1\/21*l**3 + 0*l**x. Suppose a(r) = 0. What is r?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 - 262 = -5*y. Suppose -5*q + y + 115 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1894 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttc when three letters picked without replacement from tcckcesctkkcsqkcqec?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 1. Let b(p) = -2*p. What is 3*b(u) + 4*k(u)?\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 72, -6675?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/3128*(-16)\/(-6)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 0*m)*(-m**2 + 2*m**2 + 0*m**2) - 4346*m + 4346*m - 526*m**3 + (0*m**2 - 4*m**2 + 2*m**2)*(-3 - 2*m + 3) + 2*m**3 + 5*m**3 - 5*m**3.\nAnswer: -522*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 11*h**2 - 5*h + 6. Let z be f(-11). Let n = z - 58. Find the second derivative of -t**4 + 2 + n - 10*t - 5 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 6*i - 5, -u + 5*i = 27 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlamqtm. What is prob of picking 1 q and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -49 - 3*t**2 + 4*t**2 - 43*t + 88*t - 34*t. What is the units digit of o(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 5*h + 3*d - 700, h - 5*d - 140 = 0. Let v = h + -125. Solve 0 = 5*w + 3*l + 15 + 5, 3*l = -v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 + 104. Let x be l\/(((-7)\/((-42)\/9))\/(-6)). Solve -12 = -x*y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.06, -2\/15, 144, 1\/2, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43835721.\nAnswer: 3, 2909, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 1, -r - 17*z - 5 = -14*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 10*t - 9. Let w(d) = 7*d**3 - 2 - d**2 - 18 + 17 - 3*d. Let y be w(-1). Calculate g(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.552551g in micrograms?\nAnswer: 4552551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 9:56 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 25*f + 504. Calculate d(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17831852?\nAnswer: 2, 113, 39451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 - -76. Is -3*(-4)\/90 - 54412\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82787.\nAnswer: 82787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1034\/57 - 9\/19. Let r = t - 18. Sort r, -2\/5, -0.3 in ascending order.\nAnswer: -2\/5, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -20*s**4 - 12*s**2 + 191. Let d(l) = 5*l**4 + 3*l**2 - 48. Let x(t) = 9*d(t) + 2*m(t). Differentiate x(h) with respect to h.\nAnswer: 20*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 13*m**2 + 7*m - 11. Let t be x(-12). Suppose -4*n - t = -5*n. Let s = 114 - n. What is the remainder when s is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/((15\/3)\/(-25))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + k = -8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11*t**3 + t**2 - 5*t - 9. Let h(k) be the second derivative of -4*k**5\/5 + k**4\/6 - 7*k**3\/6 - 13*k**2\/2 + 114*k - 2. What is 5*h(a) - 7*x(a)?\nAnswer: -3*a**3 + 3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85, -168, -251, -334?\n\"Answer: -83*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45242 divided by 50?\nAnswer: -22621\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, -0.03, -0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a - 2026 = -4096. What is the highest common factor of a and 1008?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 + -132.02. Let a = o - -0.02. What is the biggest value in a, 1\/2, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/5 + 11\/10. Suppose -21 + 57 = -3*n. Let d = n + 13. Which is the nearest to d? (a) j (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1728 = 2*z, 5*z - 3*h = -0*z + 4312. What is the highest common divisor of 32 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*q + 56, 2*r - 5*q + 14 = -0*q. Let d = -650 + 650. Suppose d = 3*u - 457 + 505. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -11. Suppose x + 3*u = f*x + 171, -x - 3*u - 37 = 0. What is the units digit of (-1 + x\/(-12))*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(6\/4) + 1. Suppose -1787 = -5*q - 4*o + 1008, -c*q + 4*o + 1677 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2)\/(-2)*(-6)\/(-69). Let m = s + 26\/69. Let p be 12*(-3)\/34 - -1. Which is the smallest value? (a) -0.5 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1470.6 - 2422452.\nAnswer: -2420981.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -41*g**3 - 4*g**2 + 8*g - 4. Give u(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 24439296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2094911 less than or equal to 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -98?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-872 - -871) + (1 - 19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - 6) + 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/(-45))\/(16\/1404). What is the greatest common factor of u and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1090)\/(-2834)*(-10270)\/(-50)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 59?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-5 + (1 + sqrt(208))*-2 + -2*sqrt(208) + -4)*-1 + 4)*-6)**2.\nAnswer: 276480*sqrt(13) + 2046528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 11625.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 - (-314 + 319).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15475, -30893, -46311, -61729?\n\"Answer: -15418*x - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 18367641.\nAnswer: -4\/6122547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - 9 - (0 + 12). Let q = 12 + b. Suppose q = 4*p - 5*k + 4, -8 = -2*k - 0. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9856 divided by 8\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 + 1.4. Let s = y + 17. Let n = -20.65 + s. What is n rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (98 + -2)*(-5)\/(-4). Let f = -603\/5 + b. What is the second smallest value in 1, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65764 is divided by 89.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 184\/(-144) - (-3)\/2. Let b = 112.02 - 112. What is the biggest value in b, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.12521, 18?\nAnswer: -0.12521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zksz when four letters picked without replacement from {a: 3, k: 4, z: 4, s: 2, l: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -540*n**4 - 15*n**3 - 15*n**2 - 5573?\nAnswer: -12960*n - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 30*y**2 + 88*y + 56. Let i be m(-7). Calculate the greatest common factor of i and 1950.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4 = 5*r + 21, 8 + 16 = -3*r + 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2640463*g**4 - g**3*h**2 - 610136*h**2 wrt g?\nAnswer: -10561852*g**3 - 3*g**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*a**2 + 133*a**2 - 169*a**3 + 309*a**3 + 226*a**3 wrt a.\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -11.2100178?\nAnswer: 3.36300534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 - 5*q - 37. Let u(z) = -z**2 + z + 10. Give -6*o(k) - 22*u(k).\nAnswer: -2*k**2 + 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**6\/120 - x**5\/30 + x**4\/12 - x**3\/2 + 228*x**2. Determine o(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99894 is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -97132098 divided by -752962?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5067476.\nAnswer: 2, 1266869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1890 - 1889.9958. Round y to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2122129\/25 + -84896. Let q(a) = -5*a**2 - 31*a - 41. Let r be q(-5). Let d = r - i. Is -1 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 781964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q - 1298. Let m(a) = -a + 51. Give 7*m(l) - w(l).\nAnswer: 2*l + 1655","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 57839\/13898?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1098 divided by -9\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545755, -545756, -545757?\nAnswer: -545758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.7073 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 72668 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -3842, -67\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 110 = 4*h, -u - 2*h + 80 = 2*u. Let o be (-2)\/u*(-54 - -51). Which is the biggest value? (a) o (b) -2 (c) 10 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d*d**(-3))\/((d**(-4\/9)*d)\/d**6) assuming d is positive.\nAnswer: d**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118818 and 39854952?\nAnswer: 278984664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14368.89ml in litres?\nAnswer: 14.36889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -4 + -16 + 8 + (4 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15*z. Let w(u) = -u**3 + 8*u**2 + 7*u + 31. Let g be w(9). Let p(t) = -13*t + g*t + 2*t. What is p(i(v))?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 293a7 (base 12) to base 4\nAnswer: 32003233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 124 + p**3 - 2*p**2 - 116 - 2*p**3 - 8*p. Let k(f) = -f**2 + 1. Let x(n) = -2*k(n) + z(n). Let g(a) = -3*a**3 - 23*a + 17. What is 6*g(y) - 17*x(y)?\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6490f (base 16) in base 5?\nAnswer: -101140134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -48.5. What is i rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188856519 rounded to the nearest ten thousand?\nAnswer: 188860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-133)*(-21112)\/1040.\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24100 and 127725?\nAnswer: 123126900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 297951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 120*(88\/66)\/(-4)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 13*b**6\/3 - 65*b**2\/2 + 126. What is the second derivative of n(t) wrt t?\nAnswer: 520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-6) - (-2)\/6. Suppose -i - 27 = -b*i. Let s = 51 + -46. Solve s*l - 12 = 4*h, 5*l - 2*h = h + i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24736, -56319, -87902?\nAnswer: -119485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from ellllel?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.43 + -22.33072. Let u = 0.2 - 0.1. Let t = u - k. Round t to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1425) - 5*(sqrt(1425) + sqrt(1425)*-2))*3)\/(sqrt(48)\/(2*sqrt(400))).\nAnswer: 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -10 + (7 - 19 - -13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18439 is divided by 55.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -141 * -0.4\nAnswer: 56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -3 - (2 + -5). Let g = 11 - 8. Suppose -v = -3*m + 4*c, -g*m - m + 3*c + 8 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82355 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8346 and 149586?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9348)\/151905)\/(30\/(-39)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59238.63 - -58930. What is i rounded to the nearest integer?\nAnswer: -309","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*c*d**3 + c*d**2 + 63*c*d - 2888400*d**3 - d**2 + 573*d - 2 wrt d?\nAnswer: 60*c - 17330400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 6)*(4*j - 2*j - j + (2 - 2 - 2)*(-3*j + j + 0*j))*(-10 - 12 + 3)*(0*j + 5*j - 3*j).\nAnswer: 1330*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152712\/36764)\/(5\/65).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -3*l**5\/140 - 3*l**4\/14 + 48*l**2\/7 + 90*l. Solve a(y) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 2*h**2 + 0*h - 25 + 25.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2081 * -9781\nAnswer: 2035.4261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2226*h**4 - 2157*h**4 + 6*h**3 + 1033*h - h**2 + 4174*h wrt h.\nAnswer: 828*h**2 + 36*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.38372 kilograms in micrograms?\nAnswer: 31383720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (119\/14 + -9)*2. Which is bigger: 1\/152 or a?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 70152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 72*n**2 + n + 76. Let m be u(-36). What is the highest common factor of m and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2294158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - 44 - (6 - -19)) + 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n**2. Let v(y) = y**2 + y - 1. Let z(m) = -2*m**2 - m + 1. Let l(d) = -v(d) - z(d). Give l(i(o)).\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 360384915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-4))\/((-3)\/(-12)). Is r bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 8*u**2 - 15*u - 14. Let c be j(-9). Let i = 41 - c. Calculate the remainder when 4 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9893\/1522 + 26\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4 = -14. Put -5, d, 13 in increasing order.\nAnswer: -5, d, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359686 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17047569211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47756 is divided by 15917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 216278.82 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5, -1\/2, -2\/3 in decreasing order.\nAnswer: 4, 3, -1\/2, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 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 the remainder when 194413 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = -4*k. Let v(h) be the second derivative of h**5\/20 - h**4\/6 + h**3\/3 + h**2 - 9*h + 172. Determine v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. Suppose -191*j = 61*j - 23*j. Which is the closest to j? (a) w (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mromoomrorrmomo. Give prob of picking 2 o and 2 m.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1299923, -1299745, -1299579, -1299431, -1299307, -1299213?\n\"Answer: -i**3 + 185*i - 1300107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 2\/15*h**3 - 19\/5*h**2 + 36\/5*h + 219. Factor y(o).\nAnswer: 2*(o - 18)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(66)\/(sqrt(66)\/(sqrt(11)*2)) + 5 + -1 + sqrt(1100) + 2*sqrt(1100)*-5)*2)**2.\nAnswer: -177408*sqrt(11) + 12273552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 13*x + 615. Calculate y(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**2 - 7*s. Let b(v) = v**2 - v. Let c(o) = -6*b(o) - z(o). Let j be c(11). Is 20 a factor of 3\/((9\/j)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 201773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2*n - 850. What is a(-28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435328?\nAnswer: 2, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/k)**43*(k**(-8)*k)\/k*k*k**8\/k*k**(-4\/9)\/(k**(-1\/8)\/k*k)*k**(1\/5)\/k**(-2\/11) assuming k is positive.\nAnswer: k**(-226793\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -404 - -909. Let x = s - 439. What is the highest common factor of x and 1056?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 - 150. Suppose -4*s - 2*b - 3 = -13, -4*s + 9 = b. Is 19 a factor of (t\/(0 - s))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + j + 4*j**2 + 2*j**2 + 2*j. What are the prime factors of p(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0*l**2 - 2*l - 1\/4*l**5 + 0 + 8\/3*l**3 - 1\/3*l**4. What is the second derivative of m(f) wrt f?\nAnswer: -30*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 2*m**2 + 0 + 21\/8*m**4 + 2*m - 107\/6*m**3. What is the derivative of v(u) wrt u?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94967741 to the power of 1\/2, to the nearest integer?\nAnswer: 9745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -7*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 336450 rounded to the nearest 1000?\nAnswer: 336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*z**4 - z**2 + 15*z + 198331 wrt z?\nAnswer: -28*z**3 - 2*z + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102358 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26\/312)\/(6\/(-16)). Let i = -0.37 - -0.27. What is the closest to -1 in i, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r + 713*r + 547*r + 896*r to the form a + j*r and give j.\nAnswer: 2165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 + 197*w - 399. Give h(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -1\/10 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -523?\nAnswer: 5.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.9 + 28. Let d = -3.1 - m. What is d rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -65 - 5) + (1 + 0 - 4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2, -6987100?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*i**3 + 6*i - 37 wrt i?\nAnswer: -39*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, 21, 94, 241, 486, 853, 1366, 2049?\n\"Answer: 4*r**3 + r**2 - 8*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-332 - 853 - 2*b + 7*b + 870 - 405)*(-5*b**3 - b**3 + 4*b**3).\nAnswer: -10*b**4 + 1440*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 5*r + 6. Suppose -4*d = -4*i + 127580, 31900 = -4*d + r*d - 4*i. Is (-2)\/14 + d\/(-126) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6 and -39\/280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c25 (base 16) in base 13?\nAnswer: -7015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 281612893?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*z + 222*z = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 2730 = 20*l. Calculate the highest common factor of 162 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/120 - (3 + (-33)\/15). Which is the nearest to 0.1? (a) 3\/5 (b) z (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -985, -3815, -8497, -15031?\n\"Answer: -926*h**2 - 52*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3502731 and 0.75?\nAnswer: -2627048.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88663 or 88682?\nAnswer: 88663","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*f**2 + 104217 - 104217.\nAnswer: 433*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**3\/3 + 21*v**2\/2 - 49*v + 80. Let p be k(-23). Let z(f) = f**3 + f**2 + 1. Determine z(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -4 + 4 + 1 - 5*m**2 + 3. Let v(d) = 2*d. What is n(v(b))?\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 != -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681295250?\nAnswer: 2, 5, 2725181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 21*c - 4*c + 2*c - 4*c + 0*c + (-23*c - 26*c + 56*c)*(-4 + 0 + 2) in the form t + h*c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 3)\/((-3)\/102 - 0)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 483 + -487. Let n(o) = 1 - 1 + o. Let h be n(r). What is the fourth biggest value in -2\/3, h, -3, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58106 + 14782 = 933*t + 5712 for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 7 = -47 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.012, 5\/239, 0.9 in ascending order.\nAnswer: -0.012, 5\/239, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -0.1262166.\nAnswer: -3.1262166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -681076955*w**2 + 679032627*w wrt w?\nAnswer: -1362153910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w - 24. Let g(n) = -26*n**4 + 17*n - 5. Let m(d) = 13*d**4 - 9*d + 2. Let o(u) = w*m(u) - 2*g(u). What is the second derivative of o(f) wrt f?\nAnswer: -156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -28\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*5\/(5\/(-3)). Suppose 4*a = 5*k - 505, q*k = -5*a + 255 + 85. Suppose 3*l = -2*l + k. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-21)\/(-6))*-6. Solve -11*t + 8*t = u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1713814 and 2?\nAnswer: 1713814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 173 - 179. Let a(i) be the first derivative of -7\/2*i**2 - 9*i - 1\/3*i**3 + 2. Give a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-35))\/(8\/(-14))*20\/(-5). Sort -391, -2\/3, -0.3, o in descending order.\nAnswer: -0.3, -2\/3, o, -391","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -57, 21, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 2*g + 151 = -28*q, -2*g - 433 = -3*q. Let r(c) = -72*c - 11 - 68*c + q*c. Calculate r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.57 + 0.43. Let r = c + -14. Let n = r + -6. What is the third biggest value in n, -0.4, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5732474*j - 126*j**3 + 21 - 5732474*j - 21*j**2. Let h(g) = 25*g**3 + 4*g**2 - 4. Calculate 21*h(k) + 4*t(k).\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**5 - s**6 - 7*s**5 + 1887*s**2 + 4*s**5 + 1581*s**4 + 63*s**2 wrt s.\nAnswer: -120*s**3 + 37944*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 24 = -4*a - 7, -3*k + 21 = -3*a. Suppose -4*g = 4, k = -m - 4*g + 29. Solve -2*t + 2*c = 16, -5*c + 6 = -3*t - m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3)*((-w - 2*w + 4*w + (-3 - 1 + 5)*(-2*w - w + w) + 3*w + 0*w - 2*w + 22*w + 357 - 357)*(-3 + 0 + 1) + (2 - 1 - 2)*(-w + 6*w - 4*w)).\nAnswer: 135*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*q + 2*u - 72, 3*q - 72 = 3*u. Let v = 35 - q. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 18*d**3 - 1226*d**2 + 20944*d - 2312 = 0.\nAnswer: 1\/9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -429*k**3*t**2 + 67*k**3*t - 63*k**3 + 4*k**2*t**2 - 8*k**2 - k*t**2 + 3*k*t + k + 203*t**2 wrt t?\nAnswer: -858*k**3 + 8*k**2 - 2*k + 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -800aa2 (base 11) to base 2\nAnswer: -100111010111000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111011 (base 2) in base 5?\nAnswer: -12031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1471, 1461, 1457, 1465, 1491?\nAnswer: 1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444767?\nAnswer: 3, 481589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2628, -2\/15, 16, 5\/3, 53?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -172\/11, 60693\/8 in ascending order.\nAnswer: -172\/11, -1\/3, 60693\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*l + 0 - 3\/2*l**3 - 1\/2*l**4 - 3\/2*l**2 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 12. Calculate the least common multiple of s and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*j = 0, -2*q - 7 = j - 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3413382, 3413373, 3413360, 3413343?\n\"Answer: -2*s**2 - 3*s + 3413387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3 + y + 3. Let d(q) be the third derivative of -q**4\/24 - q**2. Calculate d(u(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49561 is divided by 1652.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 158214 and 6?\nAnswer: 949284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5069 + -5051)\/((-1)\/(1\/(-6))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100098828937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -324, -408, -508, -630, -780?\n\"Answer: -r**3 - 2*r**2 - 71*r - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -742, -766, -790, -814?\n\"Answer: -24*r - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 + 35*d - 253. Calculate l(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00085087 rounded to five decimal places?\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.36 + -15. What is x rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245571 and 28472.\nAnswer: 1964568","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let q(m) = 4*m - m - 4*m. Suppose -22*b + 33 = 3*i - 17*b, 24 = 5*i - 2*b. Let n(x) = -9*x. Determine i*q(c) + l*n(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3 - 652*j**2 - 2*j + 652 = 0.\nAnswer: -1, 1, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10025082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f**4 - 5*f**3 + 5*f + 3. Let y(s) = -s**4 - s**3 + s + 1. Let v(n) = i(n) - 5*y(n). Differentiate v(b) wrt b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -51.4. Sort 0, -0.5, o in increasing order.\nAnswer: -0.5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/3 - (-1 - (-1 + -2)). Sort f, 1, 4 in increasing order.\nAnswer: 1, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:14 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -690 or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/19511 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49855 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -564 - -564. Let g(l) = 0*l - 4*l - l**2 + a*l**2 - 3 - 2*l**2. Give g(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 1605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111301121212203 - -3?\nAnswer: -1111301121212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-10 + 6 - 4) - (-1 + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 397, 4\/7, -2, 3?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-2))\/((-2)\/52) is divided by 5 - ((-6)\/4)\/((-3)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 3*t - 3. Let q be m(0). Which is the second biggest value? (a) 0 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 0.012829025?\nAnswer: 0.987170975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 577*w. Let y(k) = -1517825*k + 3 - 3 + 1517823*k. Determine y(c(t)).\nAnswer: -1154*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a9 - -7?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, -2\/7, 4, 9, -6.\nAnswer: -6, -5, -2\/5, -2\/7, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6225771.6 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-53 + 1)*-2 + 0. Let d be 1992\/m - (-2)\/(-13). Calculate the greatest common factor of 133 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) -0.12 (c) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/2 - 10. What is the second smallest value in -1\/14, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**4\/6 - 4*k**3\/3 + 4*k**2 - 2*k. Factor l(d).\nAnswer: 2*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 22. Let b(d) be the second derivative of 11*d**4\/12 + 2*d - 3548. Determine p(b(g)).\nAnswer: -11*g**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.193. Let a = v + 0.24. What is a rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:52 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7731 by -2577.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f - 2. Let c(r) = r**3 - 56*r**2 - 2*r + 115. Let p be c(56). Give o(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -18*p**3 + 6*p**2 + 2. Let g(k) = 27*k**3 - 9*k**2 + k - 3. Let l(b) = -5*g(b) - 8*u(b). Find v, given that l(v) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136104 (base 8) to base 6\nAnswer: -1011044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + 5*g - 4*g + (2 - 2 + 2)*(3*g - 3*g + 2*g) + 37 - 37 - 6*g + 0*g + 13*g + 46*g - 2*g.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10165, 41317, 93225, 165883, 259285, 373425, 508297, 663895?\n\"Answer: -j**3 + 10384*j**2 + 7*j - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106.5 - 98. Let x = z + -8.5828. Let r = x - 109.7172. Round r to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f - 30 = 0. Let y(p) = p**3 + 4*p**2 - 2*p + 4. Let o be y(f). Let k = 14 - o. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 15) in base 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 137 - 97. Does 41 divide (-2475)\/t - (-3)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 11*a + 2 as r + m*a and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-20508)\/(-216) + 2\/(-12). What is the least common multiple of t*(5 - 6) - 1 and 1?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91461?\nAnswer: 3, 43, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 93bbd (base 14) to base 3\nAnswer: 200002202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.2, 25, 1\/3, 2, -1\/1403, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -491 - -2266. Calculate the least common multiple of i and 8.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 17 - 72)*(-12 - 1 + 10)*(2*t**3 + 4 - 4).\nAnswer: 570*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, i: 1, a: 3}. What is prob of sequence qiqa?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 - 5. Let i(b) = -b**3 - b**2 + 1. Let q(w) = g(w) - 4*i(w). Let x(v) = v**3 + 2*v**2 - 4. What is 4*q(j) - 9*x(j)?\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (0\/(-5) - -5). Find the third derivative of -54*v**r + 28*v**2 + 0 + 0 - 167*v**5 + 237*v**5 wrt v.\nAnswer: 4200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150580 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-42) + (-2 + 5)\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -329 - -328.2. Let h = 47 - 47.2. Which is the nearest to h? (a) -1\/2 (b) s (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p**3 + 3*p - 3*p - 25*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4\/4 - 63538*h**3 - 1118155*h**2\/4 + 216013*h + 127065 = 0. What is h?\nAnswer: -50826, -5, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from sdssddssddddssdssds?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2. Let h(m) = 30115*m. Give h(y(j)).\nAnswer: 60230*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + 5*d**2 + 5*d + 5. Let q(u) be the first derivative of u**4\/2 - 2*u**3 - 3*u**2 - 6*u + 28. Calculate -5*q(m) - 6*y(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i**2 + 48*i**2 - 233*i**2)*(i - i + 2*i) - 1 + 1 + i**3.\nAnswer: -331*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 5}. What is prob of picking 3 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -3)*(-5 + 4). Let q(p) = b - 3*p + 0 - 3*p + 5*p. Give q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 285 = -25. Let a be (-192)\/(-18)*6\/4. Let n = a - -5. Calculate the remainder when x is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {m: 2, z: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5514*f**3*v**2 + 339*f**3*v - 346*f - 6*v**2 wrt v.\nAnswer: -11028*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3\/16, 1\/135, -4\/7, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 29*f**3 + 17*f**2 + 2*f - 17. Let t(w) = 10*w**3 + 6*w**2 + w - 6. Let k(m) = 17*t(m) - 6*v(m). What is the second derivative of k(y) wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107322 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -7\/2*w**2 - 7 + 0*w. Let m(i) = 5*i - 5*i - 51*i**2 + 49*i**2. Calculate m(t(d)).\nAnswer: -98*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) -0.02 (b) 1\/33 (c) -10\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/11)\/s)\/s**16)\/(s**(-25)\/s**14))**49 assuming s is positive.\nAnswer: s**(11809\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -44, 0, 1543, 11 in ascending order.\nAnswer: -44, -1\/10, 0, 11, 1543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 32 + 21 + 14 + 0*y**2 + 0*y**2 + 7*y. Calculate h(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 + -0.28337427\nAnswer: -0.11337427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 8*l**2 - 5*l - 4. Let y be i(7). Let q = y + -2. Solve 0 = 4*m + 16, 0 = -4*o + q*o - 3*m - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 236*c + 1150. What is m(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.82326mg to tonnes.\nAnswer: 0.00000007882326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, 1\/653, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*r - r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7505849022 to the power of 1\/2, to the nearest integer?\nAnswer: 86636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27363 - 5410. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-13)*o*o**(-1\/2))\/((o\/(o\/((o\/o**(3\/11))\/o))*o)\/((o*o**(-6)\/o*o*o)\/o)) assuming o is positive.\nAnswer: o**(-379\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -160*l**3 - 2*l**2 - 2*l - 1. Let c be u(-1). Let b = -193761 + 193814. Calculate the greatest common factor of c and b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -149*y + 838. What is n(4)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 2, -2 in decreasing order.\nAnswer: 3, 2, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -434922, -435077, -435232, -435387, -435542, -435697?\n\"Answer: -155*q - 434767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -61*l + 57633 - 15286. What is the remainder when l is divided by 251?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721888?\nAnswer: 2, 17, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*q - q + 23 = 0, -4*q - 40 = -3*o. Suppose 0 = -4*b + 5*i - 8*i + 2, -3*i - o = -3*b. Solve -1\/2*y**b - 1\/4*y + 0 - 1\/4*y**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 4*z - 16, 0 = 22*q - 21*q - 4*z - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 42, 0, 5 in increasing order.\nAnswer: 0, 3, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34317728*l**5 - 2*l**2 - 86128*l - 177 wrt l.\nAnswer: 2059063680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237591 is divided by 16964.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29133496 at least as big as 29133498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*r**2 - 51*r - 32 + 51*r wrt r?\nAnswer: 88*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -429*k - k**2 + 4 + 429*k = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((4 + -8 - -2) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 65\/6 - (-2)\/12. Let n(y) = 10*y**2 + 10 + 9*y - 2*y**3 - g + 2*y**2 + 3*y**2. Is n(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + (sqrt(102) + sqrt(102) + 2*sqrt(102) - sqrt(102) - sqrt(102)) + sqrt(102)))*1)\/(-2*sqrt(150) + sqrt(6)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t + 10. Let c be l(3). Is 25 a factor of (2 + -3 - c)*346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*x + 0*x = 38, 0 = -2*g - 3*x + 25. Solve -g - 7 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 8, 1, -18 in ascending order.\nAnswer: -18, -3, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 663\/4 + -166. Sort 2\/3, -57, p, 2\/9.\nAnswer: -57, p, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5142.54 + 5087. Let d = 55 + m. Let o = -0.04 - d. Sort o, -1, 2\/17 in descending order.\nAnswer: o, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67939*w - 3740 = 68049*w for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/28 - -8\/7. What is the common denominator of c and (-10)\/52*((-33)\/(-15) - 18)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23426\/18 + ((-15)\/(-27) - 1).\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -21.1. What is r rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 16 = 4*b - t, 4*t + 32 = 4*b. Suppose 33*k - 4*g = 29*k + 44, -28 = -5*k - 4*g. Calculate the remainder when k is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/12 + z**3\/6 + 19*z**2 + 23*z + 47. Let w(h) be the first derivative of t(h). Give w(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 14*x - x + 104 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -52?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**2 - f + 6. Suppose 2*i + 6 = 3*i. Let w(m) = -9*m**2 - 2*m + 7. Let x(d) = i*w(d) - 7*g(d). What is the second derivative of x(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*n**4 + 122*n**4 - 3*n**2 - 369*n**4 - n + 128*n**4 + 2*n**3 as f*n**3 + h*n + v*n**2 + j + z*n**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16a0 + -2?\nAnswer: 169b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (997*u - 29 - 6 - 995*u)*(2 - 4 - 1).\nAnswer: -6*u + 105","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1167248?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 21 = -0*i - 3*j, -20 = 5*i - 2*j. What is the remainder when 143 is divided by 3 + (-15)\/6 - 57\/i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:29 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + z - 1. Let b(v) = 4*v**3 - 2*v**2 - 10*v + 2. Let m(n) = -b(n) - 6*o(n). Let m(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(3\/10*-1). Suppose 3*o - 4 = 2*o - 3*t, -2*o - 4*t = -f. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**6\/3 + 9*c**5\/5 - 299*c**4\/30 - 228*c**3\/5 + 1444*c**2\/5 - 2258*c. Find u, given that r(u) = 0.\nAnswer: -19\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 40*o + 322. Calculate a(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 17*h**2 + 23*h - 25. Let g be s(-12). Suppose -2187 - 773 = 2*a. Let n = g + a. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 10*p**2 - 42*p - 69. Suppose 5*z - 14 = 11. Suppose 0 = -z*w + 7 + 98. What is the least common multiple of w and d(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 622410 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4926 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 4*k**3 + 4*k**3)*(-5 + 2 + 2)*(4*k - 9*k - 6*k)*(0 + 1 - 5)*(7 + k + 8 - 11).\nAnswer: 44*k**5 + 176*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-3)\/30)\/((-68)\/680)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159 = 94*v + 251 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 152*q - 1324. What is the remainder when v(16) is divided by 122?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 17*a - 5472 = -17*a. What is the remainder when a is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 2:09 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*s + 701 + 101 - 802.\nAnswer: 293*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 135 - 65 - 4*s - 75. Let c = -31 + 36. Let f(w) = w + 1. Suppose 3*y - 11 = -5*d, -4*d + d = -y - 1. What is c*f(b) + d*o(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 71*p**4\/2 - p**3 - 648*p**2 + 1553. What is the second derivative of y(c) wrt c?\nAnswer: 852*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*y + 12. Calculate the smallest common multiple of ((-1)\/((-1)\/2))\/1 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u + 440. Calculate the common denominator of -61\/22 and ((-15)\/(-280))\/((-2)\/u).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17677.3663 - 17579.39. Let v = a + -98. Let i = v - -0.04. What is i rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/75792 and 93\/1740058.\nAnswer: 41761392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-8))\/(1\/(-8)). Suppose -f*d = -28 - 44. Let x = d - 12. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.95 + 0.05. Which is the biggest value? (a) 5 (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-25) + (-37)\/5. Let m(u) = u + 5. Let o(g) be the second derivative of 2*g**3\/3 + 8*g**2 - 136*g. Determine t*m(r) + 2*o(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -2\/3 (b) -4 (c) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 10467265*u.\nAnswer: 5*u*(u - 2093453)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*c**2*n**2 - 30*c*n**3 - c*n**2 + 1958*n**3 + 1 wrt c.\nAnswer: -78*c*n**2 - 30*n**3 - n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1325 and 254487185.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 5*y, 0 = s + 112*y - 108*y - 65 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -450354 divided by -3?\nAnswer: 150118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1063 + 1718. List the prime factors of o.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1134.92 and -0.5246.\nAnswer: 1134.3954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1176803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*p + 2*n = 206*p - 5, -44*n = 3*p - 61 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (33 + (4 - (7 - -3))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*u**2 + 40*u**2 - 18*u**3 + 10*u - 13*u.\nAnswer: -18*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*k = -4*m + 132, -5*k = 20. Let i = m + -17. Calculate the highest common divisor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -205722, -411523, -617324, -823125, -1028926, -1234727?\n\"Answer: -205801*b + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/5 + 16*u**4 + 1886*u**3\/5 - 18428*u**2\/5 - 93624*u\/5 - 99792\/5 = 0.\nAnswer: -21, -2, 11, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtq. What is prob of picking 3 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 - 156\/12 - -159?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**5 + 661028*p**3 - 3037034*p**2.\nAnswer: -180*p**2 + 3966168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 96 = 81 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/18 and -25\/11664172.\nAnswer: 104977548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4368 + -4367.99. Let m = 0.8 + -1.5. Let o = 4.7 + m. What is the second smallest value in 2, o, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7*k**33*k*(k**(1\/2))**8 assuming k is positive.\nAnswer: k**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from wqchchcyycqccyhccyq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/41 + -135\/1271. Which is the fourth smallest value? (a) -0.1 (b) -1\/4 (c) 0.4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 622, -3, -0.1 in increasing order.\nAnswer: -3, -0.1, 9, 622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200931.\nAnswer: 3, 66977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 2, g: 7}. What is prob of picking 2 g and 1 w?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16254 and 903.\nAnswer: 16254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*k + 0*k - 166 - 96*k**3 + 4*k + 166 in the form o + x*k + v*k**2 + j*k**3 and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1.65, -1, -31.475.\nAnswer: -31.475, -5, -1.65, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16177.95908 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1549548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:58 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 598334480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1))**15\/((w**(-5\/3)\/w)\/(w\/w**6))*((((w\/(w\/w**(1\/2)))\/w*w)\/w)\/(w\/w**(1\/2)))**(-3\/17) assuming w is positive.\nAnswer: w**(1420\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 1. Let n(t) = -21*t - 9. Let j(y) = 18*d(y) - 2*n(y). Let f(s) = -24*s + 1. Calculate f(j(g)).\nAnswer: -144*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 5*l + 2. Suppose 3*j + 22*j - 13*j = 84. Let p(b) = -3*b**2 - 9*b - 4. Determine j*r(s) + 4*p(s).\nAnswer: 2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 24 = -3*x. Suppose -h - x*h + 21 = 5*k, 4*k = 5*h + 25. Let q(l) = 7*l + 1. Determine q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = f + 131. Put 1, -17, f, 0 in descending order.\nAnswer: 1, 0, f, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:52 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 21*k - 95. Let a be s(-7). Solve -5*m - 4*l = 36, -a*m - 3*l - 29 = -5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**13*a*a*a)\/(a*a*a\/(a*a**(-2\/19)*a*a)*a))\/((a\/(((a*a\/a**(-20)*a)\/a)\/a))\/a**(2\/7)) assuming a is positive.\nAnswer: a**(1354\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42512, -42528, -42556, -42596, -42648?\nAnswer: -42712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Suppose -o + 17 = 5*h, 4*h = -o + 14 - 0. Let c be 0\/(-2) - o\/(-6). What is the closest to -0.1 in c, q, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhiiaaiiaaii. What is prob of picking 1 i and 1 a?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 453689 a multiple of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 - 2*h**3 - 4*h**3 + (29*h - 13*h - h)*(-h - h**2 + h) as v*h + m*h**2 + n*h**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 219769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Suppose g = 4*p - 5*c - 591, 0 = -4*c + 3 + 1. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 9*b**2 - 27*b + 6. Does 3 divide y(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283694 times -2.4?\nAnswer: 680865.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 + 5319*x**2*z - 2*x*z + 48*x - z + 5 wrt x?\nAnswer: 24*x**2 + 10638*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 8*k + 6. Let t be f(6). Let x be (4 + 2)*(-44)\/t. Let s = 66 - x. Calculate the remainder when 42 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -43*v**4\/12 - 3*v**3\/2 + 3*v**2. What is the remainder when l(-2) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/11*l**5 + 0*l**4 + 4\/11*l**3 + 0*l**2 - 2\/11*l.\nAnswer: -2*l*(l - 1)**2*(l + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5844 = -10*c + 4*c. What is the first derivative of -2 + c*h**2 + 23*h**3 - 18 - 974*h**2 wrt h?\nAnswer: 69*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-40))\/(9\/(-918)*-17)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6111268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o - 1. Let t be p(-2). Suppose -4*b + 2*b + 2*c = 0, -c = 0. Suppose -5*v + 14 + 11 = b. Solve t = -v*g + 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/76 and -145\/3078.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*f + 6. What is the smallest common multiple of f and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23.88 (b) 2 (c) 11 (d) 0.16 (e) -1 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, e: 1, x: 1}. Give prob of picking 1 c and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 - 160 = 17*b. Solve -b*r = 1 - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/10*(-180)\/(-27). Put y, 0.5, -2\/5, -4 in increasing order.\nAnswer: -4, -2\/5, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 79*r - 389. Give f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -63.42, 1\/7 in descending order.\nAnswer: 0.4, 1\/7, -63.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 2. Let o(l) = -l**2 - 1. Let a(g) = -6*o(g) - z(g). What is the first derivative of a(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from yhyrhshyyysshy.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2) + 553\/77.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*k - 198 + 30 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 717 divide 61298481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -0*c + 35. Let j(f) = f**4 - 3*f**2. Let i(z) = -z**3 - z**2 + z. Let d(p) = c*j(p) - 10*i(p). Factor d(l).\nAnswer: 5*l*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.94214 litres in millilitres?\nAnswer: 31942.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -154? (a) 1\/10 (b) -0.04 (c) 1.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174975 != 174976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 52698, 0.01, -3, -2\/13 in descending order.\nAnswer: 52698, 0.01, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.1, 6, 0.4, 1\/91?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4820.51*-0.5\nAnswer: -2410.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-14))\/(60\/(-175)) + -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/21315*-15)\/(2\/4)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 357461, 357453, 357433, 357395, 357333, 357241, 357113?\nAnswer: 356943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28 (b) 5\/3 (c) 2\/3 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 4093171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -653*n**3 - 19*n**2 + 22*n**2 - n**4 - 2 + 2*n + 48*n**2 + 653*n**3 as g*n**4 + b*n + r + z*n**2 + q*n**3 and give z.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 2. Let r(b) = b - 17. Give -6*q(f) + r(f).\nAnswer: 7*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 3*n**7\/280 + 17*n**4\/24 + 20*n**3\/3 - 11. Let f(u) be the third derivative of c(u). Find the first derivative of f(x) wrt x.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 6*q**2 - 15*q + 75. Let f be g(11). What is the closest to 0 in 4, f, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -366*b - 368*b + 734*b + 310*b**2 - 244*b**3 wrt b?\nAnswer: -1464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16 - 26*l**3 - 7*l**2 - 30*l**3 + 3*l + 57*l**3. Give g(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5653\/3 + -1883. Factor 4\/3 + p*t + 1\/3*t**2.\nAnswer: (t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 53229.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440859?\nAnswer: 383, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 280?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Suppose 0 = 4*v - j*v - 4. Let g = -0.7 - -0.2. What is the closest to -2\/5 in g, 0.4, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 24*c**2 + 8*c + 12. Suppose 18*i - 27*i = 18. Let v = -9 + 33. What is the remainder when q(i) is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*o**4 - 542*o**2?\nAnswer: 3432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 8*a - 129. Suppose 2*t = -5*k + 45, 5*t - 5*k = -2*k + a. Solve u = 3*u - t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h - 3*k - 7, -h + 4*k = 1. Solve -5*j - h = 4*r + 21, -4*j = -2*r + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102 - 10233?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4897187 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: Simplify (-3*(sqrt(84)*2*-3 + sqrt(84)*2*-5))\/(sqrt(48)\/(-2*(sqrt(324) + sqrt(4)) - sqrt(4))*-4).\nAnswer: 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2406 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8050984, 16101967, 24152950, 32203933, 40254916, 48305899?\n\"Answer: 8050983*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 468765.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 343564212 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16529331109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7005217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*d**4 + 72\/5*d - 32\/5 - 56\/5*d**2 + 18\/5*d**3 = 0. What is d?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + -0.16. Let h be 4\/(-3)*(-72)\/(-16). Let s be (1\/(-4)*h)\/(-9). Which is the smallest value? (a) k (b) 6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(1008)\/sqrt(7)) + (3*(0 + sqrt(19))**2 - (sqrt(19) - 4*(sqrt(19) + 1) - sqrt(19))).\nAnswer: 17*sqrt(19)\/4 + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*d, -3*p - 2*p + 710 = -5*d. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3901 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -106*q - 113*q + 221*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 76 = 84 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14108545 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose 2*i - k = 7. Suppose i*q - 4 = q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.31198 to three decimal places.\nAnswer: -0.312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**4\/24 + t**2. Let y(h) = 194*h + 19787. Let x be y(-102). Determine l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877278 is divided by 291588.\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*q*v**2*x + 610*q*v*x - 2*v**2*x + 5*v**2 + 24 wrt q.\nAnswer: -5*v**2*x + 610*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 603330018*g**3 - 1115952645*g wrt g.\nAnswer: 3619980108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 4. Let o(v) = -v**3 + 10*v**2 + 8*v - 11. What is the remainder when o(p) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*2 - (218 + -33). Let l = -59 - h. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -3)\/((-11)\/(33\/6)). Let b(j) be the third derivative of 0*j + 0*j**3 + 7*j**2 + m*j**5 + 1\/70*j**7 + 0 + 1\/20*j**6 + 0*j**4. Factor b(f).\nAnswer: 3*f**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4441213 (base 5) to base 12\nAnswer: 38b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - (-24 + 6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 + -83. Let i = 97 - q. Suppose 0 = i*d - 160 + 49. What are the prime factors of d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114 - 69 - 77 - 5*j**2 + 216 in the form x + p*j + g*j**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21121012000 (base 3) to base 16\nAnswer: 2484c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.24 - -17. Suppose -75 = -28*s + 65. What is the nearest to m in s, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/14*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uasa when four letters picked without replacement from {s: 2, u: 3, l: 1, a: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 5*h + 298 = 5*p, -12 = 4*h. Put -1, 7, -2, p in descending order.\nAnswer: p, 7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 19 - 11. Let o be (6\/z)\/(18\/48). Solve -f = -o*a - 3 - 5, -2*a = -4*f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515961983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n. Suppose n = -3*r + 6 - 3. Let x(b) be the third derivative of b**5\/15 + b**3\/6 + b**2. What is x(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 20198979.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, m: 3, p: 1, e: 2, j: 7, v: 2}. What is prob of sequence mm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 1\/2*d**3 + 0 - 11*d**2 + 0*d + 1\/24*d**4. Let j(i) = i**3 + 4*i**2 - 3*i + 4. Let g be j(-5). Calculate z(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*d = 3, d = 3*c - 12 + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -5 (c) 0.3 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, -8, 14, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - z = -3*n + 1, 0 = -4*n - 2*z + 28. Let k = n + 22. What is the highest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11710 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 105. Let v = 85 + -24. Suppose -121 = -14*a + v. Calculate the remainder when k is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95220719, 190441436, 285662151, 380882864, 476103575, 571324284, 666544991?\nAnswer: 761765696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {p: 1, b: 2, l: 14}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4\/7*q**4 + 0 + 8\/7*q**2 + 12\/7*q**3 + 0*q = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -475, -1222, -2269, -3616?\nAnswer: -5263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/14 - 1236\/(-9). Suppose 3*m - 172 = 173. Let q = m - r. Find the common denominator of q and -139\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let a = 0.7 + m. What is the third biggest value in -3, 2\/9, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1442466 and 631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 2:19 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 162\/1141?\nAnswer: 162\/1141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) + (-8)\/6. Let k(o) = -7*o + 93. Let r be k(17). Let n = z - r. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 15*u - 6. Let j(b) = b + 15. Calculate the remainder when j(7) is divided by x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 3 - 13 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 231. Let w = 155 - o. Factor -3\/5*l + 2\/5 + 1\/5*l**w.\nAnswer: (l - 2)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (466*j**3 - 41*j**5 - 466*j**3)*(-22 + 38 + 29).\nAnswer: -1845*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.1 (b) -5 (c) 0.15 (d) -10 (e) -0.3 (f) 2\/11 (g) 69\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 3, q = -2*q + j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588558775 to the power of 1\/3, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaaaanaananna. Give prob of picking 1 a and 1 n.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7106800 rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 u when three letters picked without replacement from zuqszzsuzlqluusluz.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.472603189 rounded to four decimal places?\nAnswer: 1.4726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100.0288 - -100. What is l rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/7? (a) -2\/21 (b) -0.5 (c) -243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {a: 10, r: 2, c: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-22)*((-4)\/14)\/(20\/(-280)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**4\/8 - 7*y**3\/6 + 2*y**2. Calculate the remainder when j(-7) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7 = -2*n, 3*y - n = -y - 7. Let w be y\/6 + (-18)\/(-20). Let i = 0.2 - -0.3. Which is the closest to w? (a) i (b) -3 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -13*h + 18*h + 36*h - 92 - 13*h + 26*h. Let p be d(8). What is the greatest common divisor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 19*j - 10. Let o(x) = x**2 - 20*x + 97. Let k be o(12). Let t be u(k). Put t, 2, 4, 5 in increasing order.\nAnswer: 2, 4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-3)*(-9846)\/3829?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 13*b - 8. Let o = 75 + -33. Calculate the remainder when o is divided by h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12027539*u*y**2 - u*y + u + 94658376*y**2 wrt u.\nAnswer: -12027539*y**2 - y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 5. Calculate s(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 2. Let r(q) = -q**3 - q**2 - q + 3. Let s be r(0). Suppose -u + s*u = 10. Determine i(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3*1*(-37)\/(-5550) and -13\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8224, -66225, -223670, -530281, -1035780, -1789889?\n\"Answer: -8287*z**3 + 8*z + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1517454942\nAnswer: 1517454934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30 - -29)\/((-14)\/(-6)). Which is the third biggest value? (a) 0.3 (b) 4 (c) j (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y + 11. Let o be r(-4). Suppose -6 = o*m - 37*m. Let j(a) = 11*a + 23. Let f(t) = -4*t - 8. Let u(b) = m*j(b) + 8*f(b). Determine u(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (120\/(-98))\/((-10)\/(-35)). Which is smaller: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.3, -3.\nAnswer: -3, -0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 60*a - 33 - 24*a - 32*a. Let k be i(9). Suppose -4*t - k*x = -12, -t - 10 = 3*x - 4. Calculate the smallest common multiple of 24 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1858 in -0.47, 3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -579157932, -1158315860, -1737473786, -2316631710, -2895789632?\nAnswer: -3474947552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**6\/8 - 2*j**3\/3 + 13*j**2. Differentiate q(d) with respect to d.\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 + 275. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2312792.\nAnswer: 2, 289099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00406993284 to five decimal places.\nAnswer: 0.00407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-14)*g**(5\/6) assuming g is positive.\nAnswer: g**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159721 = -89*b + 9023. What is the lowest common multiple of b and 120?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39740\/1597 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 518996, 518997, 518998, 518999, 519000, 519001?\n\"Answer: n + 518995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**3\/3 - 4*g**2 - 15*g + 14. Let y be o(-4). Solve 4*z = -3*w - 4, -3*z - 4 = 5*w - y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*g**4 + 126*g**3 - 6*g**2 + 10*g - 1143?\nAnswer: 528*g**2 + 756*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6028073.\nAnswer: 19, 317267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43110.7886 - 86.5114. Let u = 43197.1999932 + r. Let z = u + 0.1. What is z rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 5*k - 5. Let z(s) = 34*s**3 + 3*s - 2. Let x be z(-2). Let a be x\/120*3\/1. Calculate n(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4201 - 0.3301. Which is the closest to w? (a) -1 (b) -0.06 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(4\/17)\/w)\/w*(w*w*w**(-18)*w*w)\/w)\/((w*w*w*w\/(w**(-20)\/w))\/((w**(-2\/11)*w)\/w)) assuming w is positive.\nAnswer: w**(-7657\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 97. Does 59 divide (35\/(-21))\/((-58362)\/(-29196) + y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45187923163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1510 - 507. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 7*c + 4*y + 5, 5*y + 7 = -c. Calculate the remainder when 26 is divided by 3\/(c\/28)*(-3)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-25)*1\/(9\/10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 14 = -2*h + t, -5*t = h - 9. What is the lowest common multiple of h and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzfzfzg. Give prob of picking 1 z and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4.03. What is the nearest to -2 in -2\/19, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.12, -2, 2, 6.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-3)\/(-18)*-2. Suppose v = d - 1. Suppose 0 = -x + 3*x - 4, d*k - 21 = -3*x. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13856860 or -13856873?\nAnswer: -13856873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/89 + -259\/356. Let m = 53 - 372\/7. Let d be (4\/14)\/(12\/21). What is the biggest value in u, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 21 = -4*y - 6, t + 14 = 5*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, c: 2, y: 1, h: 1}. What is prob of picking 1 c, 1 h, and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-4)*(-1)\/(-10). Let l = -834.5 + 835. Which is the biggest value? (a) -1\/6 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*g - 298*g - 31*g**3 + 607*g.\nAnswer: -31*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 406687 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 6*c**2 - 21*c - 34. Give y(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 7 - 97. Let b(r) = 2*r - 11. Let n be b(-6). Let j = g + n. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51 - -14200?\nAnswer: 14251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**8\/336 + c**5\/20 + c**2 + 1. Let p(m) be the second derivative of h(m). Find the third derivative of p(v) wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -8228, -0.4 in decreasing order.\nAnswer: 3\/4, -0.4, -8228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -43 + (-430 - -438)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36385390 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 13*f + 10 - 8*f - 34. Let h be j(14). Suppose -9*x = -h*x - 45. What is the remainder when 15 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3819 and 3.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (368\/(-69)*30\/(-52))\/(72\/(-36))?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00170507044 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -72, -3354, -9848, -19554, -32472?\n\"Answer: -1606*w**2 + 1536*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -13*o**3 + 4*o**2 + 346*o + 1382. What is h(-4)?\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:33 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.58 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727850608.\nAnswer: 2, 3457, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (148\/(-10))\/((-3276)\/(-175)). Let i = -3814 + 446233\/117. Let y = i + a. Put -1, y, -0.3 in increasing order.\nAnswer: -1, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 54*b**2 + 8*b - 68. Is m(12) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 4*q - 3*s + 2*s, -s + 42 = -2*q. What is the common denominator of 49\/6 + (-3)\/6*-2 and (-12)\/(-25)*q\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 2*z**2 - z - 1. Let i be v(-1). Let a = -9 - 5. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 37. Let o be (-2)\/q + 384\/27. Let p = 59 - -39. What is the greatest common divisor of p and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b - -9?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 5*o + 0 + 0*o**2 - 1\/6*o**3. Let d(q) = q. Let t(a) = d(a) + 6*z(a). Let s(b) = -6*b**2. What is t(s(y))?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (120\/64)\/5*(-8)\/6*-1. What is l in 0 + 1\/2*l**2 + z*l**3 + 0*l = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5807665 + 5807845 = 60*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 2*sqrt(17)) + 0 + 4 + 0 - (sqrt(51)\/sqrt(3) + sqrt(17) + -5 + sqrt(187)\/(sqrt(22)\/sqrt(2)))*-4.\nAnswer: -16 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14250, -15901, -20402, -29181, -43666?\nAnswer: -65285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:44 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -31, -50, -71, -94, -119?\n\"Answer: -f**2 - 14*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61386 by -6.\nAnswer: -10231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + a - 4*a)*(-5 - 4 + 5) in the form s*a + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28132 (base 13) to base 15\nAnswer: -172dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 2, 5, -31, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -708*b + 145*b + 4904 + 1852 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**3 + 68*p**2 + 69*p + 861. Determine t(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -257*m - 94. Is u(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -493 - -2?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3429 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003399 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(539) - (sqrt(539) - -1*sqrt(539)*5)) - (6*(sqrt(539) + 0) - (sqrt(539) - (sqrt(539)*2 + -1))))**2.\nAnswer: -378*sqrt(11) + 392932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2910987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -68*h. Let p(m) = -2*m. Give w(p(u)).\nAnswer: 136*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 + q**2 + 3*q**2 - 13095*q**3 + 13049*q**3 - 2*q to the form g*q + f*q**3 + l*q**2 + d and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -583 + 583. Solve r + 11*r - 36 = f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let o be n\/((-18)\/57) + -3. Let k = 93 + -88. Sort 0.4, k, o.\nAnswer: o, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(5) + sqrt(5) + -4)**2*-4 - ((sqrt(80) - ((sqrt(80) - (sqrt(80) - (sqrt(80) + sqrt(80)*-1))) + sqrt(80)))*6)**2) + -1.\nAnswer: -277 + 112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, 2, 13, 28, 47, 70, 97?\n\"Answer: 2*s**2 + s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 - -923. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 2, w: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20*5 + 66\/22. Let g = j - 73. Suppose 5*f = g + 5. Which is bigger: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/11070 and 125\/301104.\nAnswer: 1505520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 996435 and 297?\nAnswer: 996435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 46, 60, 74?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -2, -14 in ascending order.\nAnswer: -14, -8, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -38*q**3 - 5*q - 14. Let o(v) = -133 - 393*v**3 - 256*v**3 - 76 + 79*v**3 - 76*v. Let s(g) = -76*k(g) + 5*o(g). Differentiate s(w) with respect to w.\nAnswer: 114*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n*y**2 + 573*n*y + 6*n - 17123*y**2 - y wrt n?\nAnswer: -y**2 + 573*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15 + (5 - 9) + 5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/5 + 88*f\/5 - 36 = 0 for f.\nAnswer: -90, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + 230*k + 1133. Give l(62).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 237850 + -237598.0171. Let k = 5022 - 4770. Let w = l - k. What is w rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32631*m - 18 - 32631*m - 2*m**2 as l*m**2 + n*m + z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g - 226*g - 4433 = 73*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2680 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1867*h**4 - 2*h**3*k + 60*h*k + 2*h + 98*k - 2 wrt h.\nAnswer: 22404*h**2 - 12*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-20)\/(-8440))\/(3305\/(-545) + 6) and 17\/5?\nAnswer: 14770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 5*v**2 - 3*v + 4. Determine d(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -13 + 0 + 1 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29 + -0.242. Let c = 0.04800098 - v. Round c to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/2, -1.2, 104, -4, 8?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) -1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - -39. Suppose 72 = 3*m - g. Suppose -2*y - y - 29 = -2*c, 0 = 5*c - y - m. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31956 + -127823\/4. Let g(c) be the second derivative of 14*c + 0 + 13\/6*c**3 - r*c**4 + 5*c**2. Factor g(m).\nAnswer: -(m - 5)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*0.205.\nAnswer: 2.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -769?\nAnswer: -2\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222286*k**4 - 426892*k**2?\nAnswer: 5334864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -72*h - 269. Is n(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooox when four letters picked without replacement from ooxoooxxxooxxoooxxx.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 329\/141*(-12)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/343, -4\/7, -1\/11, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*l + 6*l - 199 + 98 + 99.\nAnswer: -292*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 20*m - 7*m)*(2*m**2 + 3*m - 3*m + (m - 2*m + 3*m)*(-4*m + 2*m + 4*m) - 3 - m**2 + 3).\nAnswer: -105*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006078 rounded to 7 dps?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70007060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2894*o**3 - 9983920289*o + 9983920289*o.\nAnswer: -2894*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269650 by 44.\nAnswer: 134825\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18936.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7106 and 127490?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 202 = 32*a + 203 + 43, 5*l - 56 = 4*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 - a**4 - 3*a**4)*(5 - 4 + 0)*(12457 - 12457 - 40*a).\nAnswer: 40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 319? (a) -13 (b) 3\/2 (c) -1\/672\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4210382188 and -0.2.\nAnswer: -4210382188.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 10. Solve -20 = -0*u + h*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 693155 by 785.\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002342 rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22600 + 22578.061. Round g to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 405. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**3 + 2*z**4 - 10*z - 3*z**4 + 3*z**3 + 6*z.\nAnswer: -z*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 10. Let s be g(-6). Suppose 0 = 3*i + 2*u - 516 - 88, -s*u = -3*i + 628. What is the remainder when i is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*u + 43, -4*u = -2*a + 20 + 10. Let i = 7 + a. Solve 2*y = 3*f - 3*y - i, -y = -4*f + 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98426 is divided by 32808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 2. Let h be m(2). Find z, given that 5*z**3 - 3*z**3 + h*z**2 - 4*z + 2*z**2 + 2*z**3 - 2*z**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-90))\/(184\/230).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 377745861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -198*p + 43. Let v be a(2). Let s = v - -834. Does 37 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 73608813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*4)\/(sqrt(7) + 2*(sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(7)*2)))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -881 - 95*j + 3*j**4 + 1746 - 866 to d + q*j**4 + f*j + v*j**3 + p*j**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1573 and -0.08.\nAnswer: -125.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036915 rounded to 7 dps?\nAnswer: 0.0000369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*l = 13, 12 = -5*c + 2*c - 2*l. Let v(n) = 3. Let i(o) be the second derivative of -2*o - 1\/6*o**3 + 0 - 8*o**2. Give c*i(x) - 11*v(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/495320 and -167\/2388150?\nAnswer: 66868200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*l - 35. Suppose -2*j + c + 3*c = -4, -l*c + 17 = 3*j. Solve 12 = j*y + 5*q - 2*q, 0 = 2*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-5)*8\/(-54)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 16*d**2 + 6*d)*(4 - 2 - 1) - 3*d**2 + 0*d**2 + 2*d**2.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from {x: 3, k: 3, q: 3, o: 2, z: 1, h: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.64243 centuries?\nAnswer: 2.964243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, b: 3, a: 6, q: 2, p: 6}. What is prob of picking 1 a and 1 p?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 230, 711, 1656, 3221?\nAnswer: 5562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 236 = -58*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -11\/2 (b) 664 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61.95 - 60. Let h = -6.05 + 6. Let w = z - h. What is the second biggest value in 0, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46.67349862 - -0.07327762. Let h = 46.6 + n. Round h to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2218*n**2 - 3509 + 3509.\nAnswer: 2218*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3424)\/(-535)*(20\/(-288))\/(8\/(-32))\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-640)\/(-105) + 30\/(-5)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -32, -44, -54, -62, -68, -72?\n\"Answer: t**2 - 17*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 137*c - 5187. Give o(-31).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 538, 537, 534, 535, 546, 573?\n\"Answer: l**3 - 7*l**2 + 13*l + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 6605704?\nAnswer: 13211408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 590 + 424 + 930 + 1105 - 2*a. What is the thousands digit of f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 9*p**2 + 13*p + 10. Let w be n(7). Suppose z + 34 = 3*b, 4*z - 21 = -w*b + 23. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 9*r**2 - 7703*r + 53883. What is c(7)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222733669?\nAnswer: 1949, 114281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131369 = -12*v - 45751. Let s be v\/(-63) - 2\/7. Suppose 2*l + 18 = s. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7226 (base 8) to base 9\nAnswer: 5108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*f = s - 1196, 3*s - 4*f = 897. Let g = s + -264. Solve -23 = 3*t - 2*v - 4, 0 = 5*t - 5*v + g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 369, 373, 381, 393?\n\"Answer: 2*d**2 - 2*d + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47194 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 0*y**3 - y**3 to the form a*y**2 + w*y**3 + l*y + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.91 - 33.4. Let m = 48103035 + -48103032.5099881. Let q = m + k. Round q to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7371, 14753, 22135?\n\"Answer: 7382*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946241.\nAnswer: 3, 11, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16288.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14196700 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddrrqrdgrqrg. Give prob of picking 1 d and 2 q.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.6 and -4460.\nAnswer: -4458.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8862893062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5 - 30*f**4 + 194*f**3 + 3726*f**2 + 5616*f - 9504 = 0.\nAnswer: -12, -3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 54*k - 171.\nAnswer: (k - 3)*(k + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Suppose 18 = 2*g + 3*d, g + d = 2*g + c. Calculate the least common multiple of 18 and 6\/((g\/10)\/1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 - 1950*g - 1953 = 0. Calculate g.\nAnswer: -1, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.772696 to one dp.\nAnswer: -79.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 164, 368?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.51126 * -3\nAnswer: -7.53378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 338084 or 23?\nAnswer: 338084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100010000011100 - 101111?\nAnswer: 101100001111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-34) - 23820\/(-1190)*-7. Which is the second biggest value? (a) 0 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + (sqrt(104) - 2*sqrt(104)*4) - 6*-1*sqrt(104))*-5)\/(1*-4*sqrt(512)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 865495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63\/27197 or 0?\nAnswer: 63\/27197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 15 = 7*f. Let w(o) be the third derivative of 0*o + 0 + 1\/20*o**f + 0*o**4 + 2*o**2 + 0*o**3. Let b(a) = -a**2. What is b(w(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0733 (b) 1 (c) 2 (d) 2\/7 (e) 279\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3494 is divided by 579?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j - 4*p = -12, -3 = -p. Solve 5*x + 32 = 3*m, m - 12 = -j*x + 2*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:07 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68467068954 - 2.\nAnswer: -68467068956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -p. Let h = p + -6. Suppose h = 3*a - 21. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197051 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 - 117*k - 2. What is the hundreds digit of c(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 o when four letters picked without replacement from qggqoqqgqgqjqjqq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y - 17*y = 0. Solve y = w - 4*q + 10, 7*w - 4*w + 2*q = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - 67*b + b**4 + 64*b + b**4 to a*b**4 + l*b**2 + g*b + o*b**3 + h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489751 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 + 2 = 0. Let b(l) = l - 1. Let r(p) = 2*p + 9. Let u(v) = g*r(v) - 2*b(v). Let n be u(-5). What is the highest common divisor of 26 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220751147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 9 + 13 + 32 = g + 3*o, 5*g + 24 = 2*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1831 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -61. Solve 4*s = -4*b - b + j, -s + 12 = 5*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/360 and 79\/28?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.52*89.\nAnswer: 46.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = 0. Let u(q) = 3*q**2 - 25*q - 18. Let t(w) = w**2 - 8*w - 6. Let n(i) = 7*t(i) - 2*u(i). Let s be n(7). Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-2)\/(-4) - 7. Let s = 5 + i. Let a(b) be the second derivative of b**4\/12 + 2*b**3\/3 + 3*b**2\/2 - b. Give a(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 18*i - 5)*(-i - 4*i + i + (-3 + 7 - 3)*(-2 + 2 + i)) to g*i + z*i**2 + d and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 3, m: 1, q: 2, x: 7}. What is prob of picking 1 m and 1 a?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/2 (b) -0.3 (c) 0.2 (d) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-12 - (-8 + -7))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*s**3 + 50993*s**2 + 401575*s wrt s.\nAnswer: -42*s + 101986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28876 - 196.\nAnswer: 28680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -20.2. Let g = 4.4 - 4. Let i be (-1)\/(-6) + (-8)\/48. Which is the closest to i? (a) n (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {i: 3, k: 1, w: 1, f: 10}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82652 is divided by 650.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*l**2 - 693*l + 38056?\nAnswer: -12*l - 693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8961\/5 or -1791?\nAnswer: -8961\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9301?\nAnswer: 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/9, 0.3, 1.84?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17696202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 + 148?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -8, -11, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/3*s**2 - 177\/2*s + 3.\nAnswer: (s - 6)*(88*s - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72\/5 - -139\/10. Which is the second biggest value? (a) l (b) 1\/3 (c) 3\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 162*b - 6186. Give u(38).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 2*v**3 + 2*v**2 + 7*v + 3. Let k be d(4). Suppose -k = -5*y + 136. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -9 + 27*b**2 - 37*b**2 - 4*b + 1 - 7*b. What are the prime factors of a(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1577 and 4883?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3502 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = g - 0*i - 2, 3*g - 2*i = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k*o**3*y**3 + 1885*k*o - 100*o**3 - 86500*o**2*y**4 - 2*y**2 wrt y.\nAnswer: -36*k*o**3 - 2076000*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -362, -3100, -10552, -25076, -49030, -84772, -134660?\n\"Answer: -393*w**3 + w**2 + 10*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*v - 215*v - 12 = 5*m, 0 = 4*v + 4*m - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1 + 28 - 12*w + 5. Let i(v) = -3*v - 1. Let r(f) = -2*h(f) - 10*i(f). Find the first derivative of r(k) wrt k.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 - 8*h**3 + 128*h**2 - 120*h - 252.\nAnswer: -4*(h - 3)**2*(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1144)\/88*4\/16*4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 302\/(-3))\/((-44)\/(-462)).\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 6328804*h\/5 + 2531520.\nAnswer: 2*(h - 3164400)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 2. Let x be 34\/8 - 6\/24. Let a be u(x). Suppose -a*n = -n. Solve n*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**3 + 3*j**2 + 3*j - 5. What is d(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 16) to base 12\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -56\/123 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -15*p**2 + 127*p - 7. What is the remainder when h(8) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2381\/9445 + -6099009\/48603970. Let y = n + 30\/83. Calculate the common denominator of 39\/2 and y.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -2 - -10431 - 135\/(-45). Is i\/34 + -1*20\/(-170) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/2 + 85*b**2 - 1550*b + 7500 = 0. What is b?\nAnswer: 10, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z. Suppose -105 = -z*c - c. Suppose 0*q + 3*q - c = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + v**2 + 4*v + 7. What are the prime factors of y(-6)?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18746 is divided by 848.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672\/(-8424)*13*3.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a day?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 - 7 = 0. Let r = t + 1. Find f, given that -3*f**4 + 3*f**5 - 3*f**r + 3*f**2 - 10 + 10 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -q - 81, 4*l + q = -0*l + 324. Is l > 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 34.9999999. Round k to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**2 - 2104*r + 17088 = 0.\nAnswer: -534, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + l - 1. Let f(w) = 2*w - 5. Calculate f(x) - 5*m(x).\nAnswer: -10*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + 6 + 2 + 14 - (-3 + 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 40020012?\nAnswer: 40020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 + 246.3. Let v = 14 - y. What is v rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 1.89?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/(2\/(-6)). Let m(g) = 2*g**3 + 40*g**2 - 3*g - 58. Let b be m(-20). What is the tens digit of (b - 9)\/(i\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*p**5 + p - 905 wrt p.\nAnswer: -980*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 102 = -5*j - 2*i, -8 = -2*i. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24741, 25195, 25953, 27015, 28381?\nAnswer: 30051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -71087837, -71087834, -71087829, -71087822, -71087813, -71087802?\n\"Answer: q**2 - 71087838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 195*73286\nAnswer: 14290770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*f - 21 + 5, 4*h + 16 = -882*f + 879*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-981)\/109*(-36)\/126.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 2. Let z be o(5). Suppose 43 = 2*j + z. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30002415 (base 7) to base 12.\nAnswer: 9b2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3503 + -3501. Which is the third smallest value? (a) z (b) -487 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1421 + -1417. Solve -d*t + 5*t - 5 = -2*g, 0 = 4*t - 3*g + 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1732 is divided by 352?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 8*m**2 + 17*m + 34. Calculate the remainder when 1085 is divided by s(-10).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*c - 2199 + 8702 = -11705 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2. Let l be h(-6). Let k(f) = f**3 - 3*f**2 + 2*f - 3. Let q be k(3). Suppose -4*g + 16 = l, -q - 7 = 2*b - 3*g. Is 1\/6 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 604386682 to the nearest integer?\nAnswer: 24584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 7*j - 8*j)*(2 - 5 - 2)*(-344*j - 355*j + 61*j + 164*j) in the form z + o*j**2 + f*j and give o.\nAnswer: -33180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4452173144.\nAnswer: 2, 71, 7838333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1256*x - 4359*x = -1675*x + 126730 + 50570 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 63*v - 4599 = 3911 for v.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -104622 divided by -1974?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i*i\/(i*i*i**4)*i))\/i*i*i)*i**(-10))\/(i\/i**(-2\/9))**(-18) assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 16*q**2 + 21*q - 62. Let p be r(12). Let j = p - -1202\/3. Is 16 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l = 32*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 6*r - m = -167, -275 = -5*r - m. Suppose 0 = -r*a + 53*a - 230. What is a rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from fffffbfbf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + 3 + -1 - (-3 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21957 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/11 - 6\/33. Let h be ((-2)\/q)\/(2 - -2). Let k be 2\/(-3) + (-4)\/(-6). Is h at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01985808 rounded to 5 decimal places?\nAnswer: -0.01986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Solve -4*u = -3*u + b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 215308*l + 861296.\nAnswer: -4*(l - 4)*(l + 53831)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -60. Let l be 226\/(-14)*(-1)\/o. Let w = -2\/119 + l. Put 1, 2, w in increasing order.\nAnswer: w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 68 = -49*m. Put 3, m, -8 in increasing order.\nAnswer: -8, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(3*v + 5*v + 6*v)*(-1 + 3 + 11) - v + v + 2*v to z*v + a and give z.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + b - 2 = 0, -5*b = 2*g - b + 4. Solve 3*j - 9 = -z, -2*j + g = -0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(187)*1 + sqrt(187))*-1*3)\/((sqrt(220)\/sqrt(4)*-6 - sqrt(55))\/(sqrt(20)\/sqrt(4)*5)).\nAnswer: 180*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 3*l + 3. Let k be t(-3). Suppose 0 = -k*n + 5*m + 787, 0 = 5*n - m + 5*m - 1287. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-51480)\/1053)\/55)\/((-2)\/4).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 55 - 62 + g - 2*g. Let w be o(-6). Is (-3)\/(-9) - w\/((-9)\/(-6648)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gflz when four letters picked without replacement from zlugzzzlzfugluzkflg.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:58 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -4, 1, -0.01, 4, -316\/19?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-2 + (-9)\/(-4))*2. Let c(u) = 21*u - 12. Let b be c(t). Suppose 3*m - b = 42. What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2 - -6))\/(-1). Suppose -3*j + 3 + 36 = s. Let i = -1 + j. Calculate the greatest common divisor of 60 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 13. What is the third biggest value in -1\/4, 4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206716 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -260, -432, -630, -854?\nAnswer: -1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by -485528\nAnswer: 47\/485528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 17*i - 8*i**2 + 3*i - 7*i + 3*i**2.\nAnswer: i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**5*u*u**5*(u*u**(2\/9))\/(u*u\/u**4*u))\/(u**(1\/5)\/(u*u**(2\/5)\/u))**(-42) assuming u is positive.\nAnswer: u**(262\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 w, and 1 m when four letters picked without replacement from {h: 7, m: 1, t: 1, q: 2, v: 2, w: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*u = -21, -21 = -17*c + 20*c - 7*u for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223 + 236 - 5*x + 0*x - 471 to l + a*x and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 5*c = -6. What is the lowest common multiple of c and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {r: 1, w: 1, k: 3, l: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/((-2)\/(-4)). Let f(w) = -2*w**2 + 5*w. Let k(j) = j**2 - 3*j. Let d(r) = x*f(r) + 5*k(r). Let i(s) = -17*s**2. Determine i(d(m)).\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let o be h(6). Let i = 516 + -526. Let c be 1752\/365 + (-2)\/i. Solve s = c*s - o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2520\/(-21))\/(-15) + (-2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + f. Let h be k(-1). Solve -b = y - 2, 4*b + 6 = 5*y - h*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13431)\/(-18315))\/((-132)\/(-80))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1114000 to the nearest 10000.\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -2\/15, 4, 7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -17*v + 14. Let y(p) = 4*p. Let l be 2\/(0 - 1\/6*-3). Let b(r) = l*y(r) + h(r). Let o(z) = z - 13. What is -5*b(i) - 6*o(i)?\nAnswer: -i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 34*x**2 - x. Let a(y) = y**2 + 4*y + 1. Let h be a(-4). Does 33 divide n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111653\/18 >= 6204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 61*f + 60*f + 21 = 0, 3*v = 5*f + 39. Is (3987\/6)\/(v\/60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/9 (b) 2 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Let s = x + -2. Let f = s + 2. What is the biggest value in -2\/5, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**15)))\/n**12*n\/n**(3\/7)*n\/((n*n\/n**(-4\/3))\/n)*n*n*n)**(-13\/4) assuming n is positive.\nAnswer: n**(6487\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w**2. Let n(j) = 34*j**2 - 50*j + 1116. Calculate n(z(q)).\nAnswer: 3400*q**4 - 500*q**2 + 1116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-5))\/(8\/(-20)). Suppose 4*q = 5*q - v. Suppose -3*p + 297 = 4*s, s + q*p - 81 = -0*s. What is the remainder when s is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/39))\/j**(-21))\/((j**(3\/4)\/j*j)\/j*j)**35 assuming j is positive.\nAnswer: j**(-671\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2*m**6\/3 - 12*m**5\/5 - 3*m**4 - 4*m**3\/3 + 9. Factor l(t).\nAnswer: -4*t**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1971000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.3, 3\/4, -1\/271 in increasing order.\nAnswer: -0.3, -1\/271, 3\/4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23369\/132 + -2359\/12. Let w = d - -1\/22. Find the common denominator of w and 71\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 + 3 + (-6 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*p - 232*p + 259 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-183))\/((-28028)\/122122)*(-1 + (-5)\/(-7))?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*(-4)\/6*1)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 4*i**2 - i + 1. Let w(d) = -4*d**3 - 17*d**2 + 3*d - 3. Let x(m) = -3*s(m) + w(m). What is x(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 777*c**3 + 11*c**2 - 40*c + 31. Is z(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -697.386 - 13098.5.\nAnswer: -13795.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 379*n**2*v**3 + n**2*v - 4*n*v**3 + 4*n*v**2 + 24271*n*v wrt v.\nAnswer: 2274*n**2*v - 24*n*v + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i**5 - 28*i**4 + 112*i**3\/5 + 544*i**2\/5 + 352*i\/5 + 64\/5 = 0. What is i?\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:18 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 10*g - 6. Let o be h(11). Suppose o*v - 2*i + 345 = 3*i, -12 = -4*i. Let l = -38 - v. What is the greatest common divisor of l and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8924 and 3513434?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*l)*(5*l - 3*l - 3*l)*(3 - 3 - l) - 6*l**3 + 47*l**3 + 20*l**3 to the form b + s*l**2 + d*l**3 + y*l and give d.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8512 and 168.\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 871176 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15021b (base 12) to base 16.\nAnswer: -56237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2603 (b) 2 (c) -18 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110870602 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k + w - 45 = 0, 86 = 4*k - 2*w. What is the units digit of k\/4*(-8 - -54) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*b*i + 113*b + 11885*i wrt b.\nAnswer: 13*i + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 - (-5 + 3 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/40*(-56)\/(-42) - 37?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + 180. Let c = -56 + w. Let n(h) = 9*h**2 - 3*h + 11. Is n(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - -6*(sqrt(156) - -2*sqrt(156))))\/(2*1*sqrt(12)))**2 + ((sqrt(117) - -2*sqrt(117) - sqrt(117) - sqrt(117))*-6)\/sqrt(9)*4.\nAnswer: -24*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*t**3 + 4*t - 253 wrt t.\nAnswer: -93*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (146*l - 6*l + 38*l)*(0*l + 2*l + 5*l) as b + y*l + g*l**2 and give g.\nAnswer: 1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-196)*7*(-2)\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1781406 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o**3 - o + 3*o + 14*o**3 + o**2 = 0 for o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/98)\/(60\/16 + -3). What is the nearest to -41 in -4, 0.5, 0, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -44, 67, -7, 0 in decreasing order.\nAnswer: 67, 4, 0, -2, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 964562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(15\/(-80))\/(12\/8). Let h = -25 + 21.2. Let c = -1.2 + h. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - -21.01. Let k = -30 + u. Let s = k - -4. Sort 1, -2\/5, s.\nAnswer: s, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(-60) - (-2)\/8. Find j, given that -t*j**2 - 4\/3 - 2*j = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + 0*y**2 + 5*y**2 + 18 - y**3. Let b be n(0). Let x be 14\/4 + (-3)\/(-6). Solve -3*i = -j - b, -j = -x*i - 6*j + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, k: 3, h: 7, i: 2, d: 1, u: 3}. Give prob of picking 1 k, 1 h, 1 i, and 1 e.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.05, -5, 0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029018439 to 7 dps.\nAnswer: 0.0002902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*v. Let d = 1996 + -1972. Suppose a = -2*a + 5*b + d, v = -3*b + 9. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42675589 is divided by 2593?\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 290467.9 millimeters?\nAnswer: 0.2904679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) -2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6011 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: Determine y, given that -y**2 + 207402*y = 0.\nAnswer: 0, 207402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 - -128 - (7 - (-8 - (4 + -9))).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065?\nAnswer: 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - 1. Let l be (26\/6 + -3)*3. Suppose l*r + 10 = -6*h + 3*h, -4*r - h = 6. Calculate k(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.45 - 19.35. Is 299 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 37 - 10. Let j be (-3)\/(1\/((-6)\/b)). Suppose 5*t - 4*k - 35 = 0, j*k - 9 = 3*t - 30. Solve 5 = -4*q - t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 49*h + 1. Let k be a(-1). Let x be 6\/4*206\/3. Let c = x + k. Calculate the remainder when c is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 148. Suppose 0*q + b = 2*q. Let s = 60 - q. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503847 to the power of 1\/2, to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 846417076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/10 - a**4\/3 + 2*a**3\/3 - a**2\/2 - a. What is the remainder when k(3) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49939 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 - 4278224*d + 2287900074272 = 0. What is d?\nAnswer: 1069556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 371 = 1251*o - 1246*o - 270, -4*o - 4*c = -76 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417\/109 + 0 + 77 + -5*(-10)\/25?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009919142 rounded to 6 dps?\nAnswer: 0.000992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i + 24*i - i + 1050 = 39*i for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 10820*y - 10816*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - b. Let n(u) be the second derivative of u**4\/6 - u**3\/3 - 17*u. What is n(h) - 2*q(h)?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 490116 and 0.434.\nAnswer: 212710.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*w + 13 = -227*w + 3*k, -52*w = 2*k + 42 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14263?\nAnswer: 17, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hokokhhhhbh. Give prob of picking 2 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8016346, 16032689, 24049032, 32065375, 40081718?\n\"Answer: 8016343*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -12*b**2 - 2*b - 1. What is j(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38034 - 22736 = -5716*m + 236301 + 17309 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395775.\nAnswer: 3, 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -230, -347, -464?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-21)\/(-168))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y + 149*y - 70*y - 36*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6))\/((-6)\/12) - -3. List the prime factors of (-1115 - 0)\/(-5) - (i + -4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 1:17 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/(((-9)\/8)\/9). Let a be k\/11 + 28\/154. Let p(v) = 10*v + a*v - 23*v + 11. Give p(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -23*v**7\/105 + v**6\/4 + 597*v**3\/2 - 19*v**2 - 21. What is the derivative of p(z) wrt z?\nAnswer: -184*z**3 + 90*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(7*(-288)\/756)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(0 + 2 + 0)*(-l - 2*l + l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8364\/(-340) - -26) + (-197)\/5.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*g = -50721 - 75843. What is the least common multiple of 12 and g?\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 14*h + 2. Determine w(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 3*z**4 + 3*z**4 + (3*z**3 - 3*z**3 + 2*z**3)*(-3*z + z + 3*z).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - sqrt(605)*2) + -6*(2 + sqrt(5)).\nAnswer: -17*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*y + 10206 = 0, 5*o + 0*o - 25520 = -4*y. Suppose o = z - 13*f + 16*f, -3 = -3*f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 - 114896*r**2 - 323980136*r - 234326776992 = 0. What is r?\nAnswer: -54516, -1466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 + 100?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 23*s**2 + 49*s - 18. Give t(12).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 35)*1 + -7 + 10\/15*6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*z + 5*z. Let o(d) = d**3 - 2*d + 6*d + 10 + z*d**2 - 12*d. Give o(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 888459155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrq when four letters picked without replacement from rrrqqrr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, 256, -1\/4, -2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45.1 + -40. Let i = d - 0.1. Let p = -5.000012 + i. Round p to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 281 and 2.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/5 + 62*s**4\/3 + 266*s**3 + 1224*s**2 + 154*s + 12. Factor n(d).\nAnswer: -4*(d - 68)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 14 = -5*j, -2*x + 4*j - 12 = 2*j. Let r be 4\/(-2 + x\/(-3)). Suppose 0 = 2*i - 5*i + r. Solve -5*v - 14 = -n, n + 6 = -i*v - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1008\/28 + 18 + 18 + -10?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1323 < 0.038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/12*-1*((-10)\/4)\/(465\/186).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*h + 1730, 5*f + 4330 = -h + 6*h. Is h < 867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 + 17 - (-30931 + 4 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 5 + 1. Let v(f) = 2*f**2 + 16*f - 18. Let l be v(-9). Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2)\/4*-2. Let v = -15 + 16. Let u be 13\/(-14) - v\/(-2). Which is greater: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 740286 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = -3*d. Suppose 0 = d*z + z - 12. Suppose z*u = 5*u - 305. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.695069 decades?\nAnswer: 66.95069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/9, 0.4, 0.318945 in descending order.\nAnswer: 5\/9, 0.4, 0.318945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 633*x - 2705*x + 14504 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b + 3. Is 15 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43 + 5?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 157. Let q be x(0). Let g(i) = 2*i**2 + 60*i + 16. Let m be g(-34). Let t = q + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -907 or -910?\nAnswer: -910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -3, -2\/37, 0.2, 8\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let q(m) be the third derivative of 1\/12*m**4 + 0 - 2*m**2 + 0*m**3 + 0*m. What is q(k(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let u(c) = -12*c**2 + 13*c + 5. Let f(a) = 10*a**2 - 11*a - 4. Let t(p) = -5*f(p) - 4*u(p). What is m(t(g))?\nAnswer: -4*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -172 and 0.3.\nAnswer: -171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 30) + (-2 - (0 + 4)) + -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/3 + 153*z**3 + 335241*z**2 + 88906959*z - 269742150 = 0 for z.\nAnswer: -447, 3, 1350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 0.5, -20700, -0.5, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f. Let i(m) = -71*m + 9. Let v(k) = 2*k - 1. Let o(j) = -2*i(j) - 18*v(j). Give l(o(p)).\nAnswer: 318*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19355597?\nAnswer: 181, 106937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 753446?\nAnswer: -753461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3951 + -0.0049. Let d = -3.1 + 3. What is the third biggest value in d, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 85*n**2 + 50581*n + 3603. Calculate z(-595).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -19. Let o = -8 - l. Let x = -2.325 + 0.325. Which is the biggest value? (a) x (b) -0.2 (c) -1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 2*s - 1. Let x be t(1). Suppose -g = g - y - 51, x*g - 46 = 2*y. Let l = 4 + g. What is the greatest common divisor of l and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2 (b) 0.14 (c) 1.3 (d) 0.002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 1 + g**3 - 4*g + 3 - 3 to p + s*g + j*g**2 + a*g**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Suppose 2*v + 6 = -3*j, -k*j = 25 - 5. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than 732622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -871 or -2611\/3?\nAnswer: -871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/4849 and -7\/2238.\nAnswer: 29094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 223965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202 (base 4) to base 2.\nAnswer: 1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.018651 and 59988330?\nAnswer: 59988329.981349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7549, 7423, 7237, 6997, 6709, 6379, 6013?\nAnswer: 5617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -51. What is the third biggest value in 1, -14, h?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 281 = 5*y + 101, 36 = y + v. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/20, 0.2, 6\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3. Let b(l) be the second derivative of 0*l**3 + 0 - 11*l - 1\/2*l**2 - 1\/20*l**5 + 0*l**4. Let q be (-2)\/(-4)*6 - 5. Give q*f(s) + 6*b(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9)*j\/(j\/(j**(-3\/4)\/j)))\/(j*j**3)**(-15\/7))**(-27) assuming j is positive.\nAnswer: j**(1647\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3 + 224*g**2 - 456*g = 0.\nAnswer: -114, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43705 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/4 - 76\/(-16). Let v(y) = y**2 - 4*y + 1. Calculate v(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 45*m**2 + 122*m + 80. Suppose 0 = -6*q + 12*q - 12. Let x(l) = l. Let v(w) = q*x(w) - i(w). Factor v(d).\nAnswer: -5*(3*d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 0*t**4 + 4 + 0*t**3 + 31\/5*t**5 + 0*t + 32*t**2 - 1\/6*t**6. What is the second derivative of h(z) wrt z?\nAnswer: -20*z**3 + 372*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 1155*r**3 + 114000*r**2 - 541500*r.\nAnswer: 3*r*(r - 190)**2*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-1 + (-1)\/1). Suppose h = -t - 4*j - 2, -5*t + j = 31. What is the tens digit of (60\/(-25))\/(t\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*y**5 + 75*y**3 - 75*y**3)*(-1 + 1 - 1).\nAnswer: 92*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -22) + 30 + -37\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.41 + -11.41. Which is the closest to 1\/4? (a) -5\/41 (b) q (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1782 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpp when three letters picked without replacement from pppxppppx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3748 is divided by 3722?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4899040 and 135675.\nAnswer: 1984111200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -286731151 + 286731206.2999514. Let o = p - 55.3. What is o rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*p**5 - 17*p**2 - 4*p**4 - 3 + 12*p**3 + 23\/2*p.\nAnswer: (p - 3)*(p - 2)*(p - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 496704233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 156 = -2*g. Let u(x) = 4*x**2 - 2177*x + 10858. What is the remainder when u(5) is divided by g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 7\/(-8))\/((-17)\/34). Is i > 0.029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 156, 342, 586, 918, 1368?\n\"Answer: 5*f**3 - f**2 + 154*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169 + 180. Let a = -1 - -1. Put y, a, -4 in ascending order.\nAnswer: -4, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*o - 66, 3*o = 4*v + v - 144. Suppose -4*f = -3*d - 44 - 92, 3*d - 5*f = -140. Let p = v - d. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzz when three letters picked without replacement from yyayzyrryzyyrzryrmz.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/4 - 4*p**3\/3 + p**2 + p - 1. Let f = -15 + 11. Calculate s(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*2\/(-135)*351\/(-2340)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*q**2 - 261*q**2 + 89*q**2 + 333*q**3 + 2 + 84*q**2 as x*q**3 + h + k*q + c*q**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -f910b (base 16) to base 7\nAnswer: -11446155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214460493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14749 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 48156*l - 108351. Let z(c) = 3*c - 9. Calculate w(q) - 12039*z(q).\nAnswer: 12039*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 12:06 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.977 - -0.023. What is the second biggest value in b, -7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14757 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1080854 + -1136146. Round j to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(-7*t - 24*t + 46 - 43) as n*t + r and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 141881596\/12 - (-4)\/6. Suppose 5*y = 51823467 - z. Round y to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000558976 rounded to 5 dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**2 + 4*y**2 - 5*y**2)*(0 + 0 + y) + (182*y - 16*y**2 - 182*y)*(y + 0*y + 0*y) to the form d*y + l*y**3 + u + x*y**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-45))\/(-6 - (-57)\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30534?\nAnswer: 2, 3, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(40\/125))\/((-1270)\/6096)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 23 - 185*h + 54*h + 88*h. What is the remainder when y(-2) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126090 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - j - 3*j)*(-4 - 4*j**2 + 4) as q*j**2 + f*j + x + y*j**3 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 9\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 403616 and 22?\nAnswer: 4439776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.27 + 0.03. Let u = -124 + 143. Which is the second smallest value? (a) u (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7231661 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:19 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -90*l + 823. What is i(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 9 - -13) + (0 - -2) + -33.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(-19))\/(k*k**10*k))\/((k*k**(-12\/11)*k)\/(k*k*k**(3\/2)*k)) assuming k is positive.\nAnswer: k**(299\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 40 = -5*x, -v = x - 0*x. Which is bigger: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8215206.9 and -0.5.\nAnswer: -8215207.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 140 + 14 + y - 3*y + 130 + 3*y wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:44 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11521473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - h)*(-2 + 1 - 4) - 6 + 6 + 13*h + (-3*h - 4*h + 4*h)*(-5 + 4 - 1).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 8.9568. Let x = j + -0.04797. Round x to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41628108, 83256216, 124884324, 166512432, 208140540, 249768648?\nAnswer: 291396756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14625976 and 18676.\nAnswer: 102381832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.006 and 18.235.\nAnswer: 18.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2851500366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - -2.4. Which is the closest to s? (a) -3 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 34*t - 13. Let v be f(12). Suppose -s - 305 - v = 0. Round s to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 + 147. Let k be 6*(0 - -3)\/6. Suppose -k*l = 12, p*l = n + 2*n + 152988. Round n to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102220102200 + -12?\nAnswer: 102220102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9999478 to the power of 1\/2, to the nearest integer?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(242) + (sqrt(242) - (sqrt(242) - 6*2*sqrt(242)))**2) - 1*(sqrt(288) + -1 - sqrt(288))**2*5.\nAnswer: 22*sqrt(2) + 69691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.303297 millilitres to litres.\nAnswer: 0.007303297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-415)\/(-85) - 3*(-2)\/51. What is the greatest common factor of t and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46*(6696\/276 - 24).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247378, -494516, -741414, -988072?\nAnswer: -1234490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 11*f + 3*k + 79 = 0, k = f + 99. Let i = f + 92. Let x = -6.7 - -7. Which is the closest to -4? (a) x (b) i (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19\/2 - -7\/3. Let o(w) = 8*w**3 - 2*w**2 + 5*w + 2. Let b be o(-4). Let m = b - -4483\/8. What is the common denominator of m and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 + 0*n**2 - n**2 + 6 - 5 - 2*n**4 - 5*n - 2 as k*n**2 + c + m*n**4 + q*n**3 + d*n and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8327777 is divided by 915?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.6 (b) 0.3 (c) -0.3 (d) -2\/231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -49 + -97 + 65?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/(-273))\/((-35)\/13 + 3). Let d be (-8)\/(-20)*(-5)\/19. Which is the third smallest value? (a) t (b) d (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114289825*w**3 - 63299138*w.\nAnswer: 685738950*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122101 (base 3) in base 12?\nAnswer: 1b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12741148 and 7112.\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 147 - -65?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 404420?\nAnswer: 404421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10006, 9970, 9878, 9700, 9406?\nAnswer: 8966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 64225?\nAnswer: 64207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.024 + 0.476. What is the nearest to -1\/2 in 2, 3, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = 28*f + 204 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40974 + -23114. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = l - 57 + 12, 4*a = -3*l + 47. Let k(b) = 3*b**2 + 10*b - 52. Let c be k(a). What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/d**(2\/11))\/(d**(-5)*d)**(28\/9) assuming d is positive.\nAnswer: d**(2527\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*h + 4*a + 26402, -h = -4*a - 6626. List the prime factors of h.\nAnswer: 2, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-27))\/(((-290)\/(-464))\/(24\/640)).\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/9, -1, -4, -21, -10.16?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5871618 divided by 1957206.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170621.94 seconds to minutes.\nAnswer: 2843.699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7037 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21242 - 21187. Calculate the greatest common divisor of 32725 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from xxsxxxxvsvxxxsx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29683 + 2977*p**2 - 29683.\nAnswer: 2977*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 2. Let p(x) = x - 3. Let j(h) = 4*h + 7. Let a be j(-2). Let d(c) = a*p(c) - 2*i(c). Calculate d(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 40*m + 63. Let x(i) = -5*i. Calculate a(x(q)).\nAnswer: -200*q + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 28352.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 6*k + 16. Let j be u(8). Suppose j = 5*g - 0*g - 2915. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-166)\/(-12) - 5\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3371311034 + 5*v + 7*v - 3371311035.\nAnswer: 12*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a - -844a0?\nAnswer: 8454a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -2\/15, -16, 1\/4, -0.2, 1.903?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75989 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28338*0.0374\nAnswer: 1059.8412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -2\/7 (b) -0.1 (c) -0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.2262 + 0.2262. Sort -0.8, 0.5, -2\/3, c.\nAnswer: c, -0.8, -2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 99*g + 365 = 95*g, -5*w + 620 = 5*g. What is the remainder when 784 is divided by w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 103511, 103528, 103557, 103598?\n\"Answer: 6*t**2 - t + 103506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 149*v - 19. List the prime factors of b(10).\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*(-1512)\/(-162)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l - 738 = 76*l for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 637037 or 637033?\nAnswer: 637037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q + 29. Let a be x(4). Let l(n) = -63*n**3 - 3*n**2 + 4*n + 7. Is l(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3dc51 + -4?\nAnswer: -3dc55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 925274? (a) 4 (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 + 1 - (-1 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5787, -11572, -17357, -23142, -28927, -34712?\nAnswer: -40497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3455, -17820, -41763, -75284, -118383, -171060?\nAnswer: -233315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -5.01. Let k = p - -5.4. Let y = 0.1 + k. Which is the second biggest value? (a) 0.3 (b) y (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42.6 and 57.\nAnswer: 2428.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -33*r - 162. Let o be g(-5). Suppose 5*b = -f + 369, 4*f - 2*f = o*b + 751. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 2\/((-4)\/2). Let o = -0.6 + 0.2. What is the second smallest value in o, -1\/3, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8718, 8654, 8490, 8226, 7862?\nAnswer: 7398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/38)\/((-3832)\/36404).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11360103 to the power of 1\/2, to the nearest integer?\nAnswer: 3370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.13 + 11.1. What is the fourth smallest value in 2\/9, f, 5, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1274*f = -1267*f - 567. Let i(n) = 2*n**2 - 6*n + 3. Let p be i(4). Let a = f - p. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 2*o**2 - 6*o. Let m be k(-2). Put m, -100, -5 in increasing order.\nAnswer: -100, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129927.\nAnswer: 3, 7, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 33 - ((0 - 1) + 9 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + f**2 - 8*f - 5. Let x be n(-6). Suppose 1924 - x = 9*p. Is p a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 207 = 3*l, -6 = 4*u + 5*l - 237. Suppose -u + 144 = 5*h. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 566 (c) 70 (d) -0.08 (e) -4 (f) 2 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467, 978, 1435, 1832, 2163, 2422, 2603?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 4. Determine i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (51\/1541046)\/(-2*1\/127446). Let z = k - -2\/11167. What is the common denominator of 13\/14 and z?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 - 91. Let l = j - 83. Let r = l + 42.92. Which is the closest to -1? (a) 1\/3 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26\/(-13))\/(10\/(-21)))\/(((-1848)\/140)\/22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = -0. Let p be (-3)\/(r\/2) + 36. Round p to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**3 + 450*j**2 + 909*j + 456 = 0.\nAnswer: -1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*q**2*t**3 + 185*q**2*t + 32*q**2 - 2*t**3 - 192017*t**2 wrt q?\nAnswer: -8*q*t**3 + 370*q*t + 64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**7\/105 - 8*a**6\/75 + 11*a**5\/50 + 4*a**4\/15 - 4*a**3\/5 + 813*a + 2. Let w(y) = 0. What is y?\nAnswer: -1, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5105, 5096, 5087?\nAnswer: 5078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -191, -52, 189, 538, 1001?\n\"Answer: x**3 + 45*x**2 - 3*x - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26280270 minus 1?\nAnswer: -26280271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-152))\/((-29)\/22 + 8\/(-44))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/12*(4*36\/16 + -78663) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2\/15*h**5 + 184\/15*h**2 + 64\/3 - 44\/15*h**3 + 176\/5*h - 6\/5*h**4 = 0?\nAnswer: -2, -1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -50, -69, -110, -179, -282, -425, -614?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200222.\nAnswer: 2, 11, 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, 17, 39, 61, 83?\n\"Answer: 22*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/7, -11908 in ascending order.\nAnswer: -11908, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/17))**(3\/4)\/(o**(-2))**(-6\/5) assuming o is positive.\nAnswer: o**(-393\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*p*t - 6*m*t + 2*m + p*t + p + 2099*t wrt m.\nAnswer: p*t - 6*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -272?\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(4\/7)*x)\/x*x)\/(x\/(x\/(x*x**(-6)))))**(2\/7) assuming x is positive.\nAnswer: x**(90\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - -2313331441?\nAnswer: 2313332031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 97*b - 1052. Is 29 a factor of f(53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 15*t**2 + 4*t + 35*t**2 + 7*t**2.\nAnswer: 27*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18147 = 276*p + 5773*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 3*m**2 - 4*m**2 + 4*m**2 - 3 - 2*m**2. Let u be r(4). Let f(s) = 2*s - 2. Calculate f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 982371\/10 or 98237?\nAnswer: 982371\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33907.07 - 3388.\nAnswer: -37295.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 188874045231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 8:42 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*d - 2*r + 43 + 16 = 0, 2*d - 11*r - 9 + 15 = -10*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 - -223. Let i(b) = 6*b**2 + 82*b + 2. Let w be i(-14). Calculate the highest common divisor of w and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 21 - 11 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/324?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4401 is divided by 4396.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 55 - 143 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/60 + z**4\/24 + z**3\/3 - 2*z**2. Let f(o) be the first derivative of l(o). Differentiate f(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1942 and 88666.\nAnswer: 86724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:09 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 979 or -215?\nAnswer: 979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 3*p - 2. Let f be s(2). Solve f*g + 2 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1314 greater than or equal to -1312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -26. What is the third derivative of -29*v + 29*v - 5*v**3 + 5*v**f wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 50564.9277 minutes?\nAnswer: 5.016361875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85, -502, -1533, -3478, -6637, -11310, -17797?\n\"Answer: -50*x**3 - 7*x**2 - 46*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1106, -2207, -3308, -4409, -5510, -6611?\n\"Answer: -1101*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**9\/15120 - l**8\/6720 - 7*l**4\/12 - 3*l. Let g(b) be the third derivative of j(b). Factor g(k).\nAnswer: k**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1133003 or 1132779?\nAnswer: 1132779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594004?\nAnswer: 2, 3, 7, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-6) - (-14)\/21)*12. Let x = 4 - g. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/15 and -51\/55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 3*r - 4. Does 29 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 316967965*c**2 + 129928978?\nAnswer: 633935930*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/12882 + 8587\/12882. Let q = -39\/248 - -1\/31. Which is the nearest to -1? (a) 6 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 0.9. Let y = q + 0.1. Let h = -0.5 + y. Which is the closest to -0.1? (a) h (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24523356145 + -5?\nAnswer: -24523356153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-35) + (-51)\/7. Let k be 140002\/(-10) + f\/(-35). What is k rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16, -41, -74, -115?\n\"Answer: -4*x**2 - 13*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*j**2 - 37\/2*j + 0 - 1\/2*j**3.\nAnswer: -j*(j + 1)*(j + 37)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 350945 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-12))**0\/((y\/(y*y\/(y\/y**(-15))))\/(y*y*y*y**21*y)))**3 assuming y is positive.\nAnswer: y**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-55) + 4\/5. Suppose -2*n = -4*n + 6. Suppose n = y + c. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 + 15*u**4 - 124*u**3 - 9*u**2 + 2588*u wrt u.\nAnswer: -120*u**2 + 360*u - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -336515.9\nAnswer: 67303.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59356 and 405460?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -6a?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 3 in ascending order.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -5 (b) -11 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143) - (sqrt(143) - sqrt(143)*-2)))\/(sqrt(11) - 3*sqrt(176)).\nAnswer: 6*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t + 2. Let r be ((-5278)\/130)\/29 + -2*(-1)\/5. What is s(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 102 = -13. Let o = 22 + p. List the prime factors of 170\/o - 2\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1846 + 207. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475318?\nAnswer: 2, 13, 179, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -31*j - 2336. Give l(15).\nAnswer: -2801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 2, z: 1, p: 1, q: 1, e: 1}. Give prob of sequence vzv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2796*z + 2787*z - 135 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3509 + 2*r + 11*r - 1372 - 2137.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.20413020593 + -0.20413. Round r to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**4*s**3 - 7234*i**4 - 26521*i**2*s**3 + 6*i**2*s**2 wrt i.\nAnswer: 144*i*s**3 - 173616*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -195?\nAnswer: -62\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.4 - -0.1. Let y = j - 4. What is y rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1. Let l(h) = -2*h + 1. Let r be l(1). Let z(u) = 5 + 8 - 14. Let m(d) = d + 2. Let c(p) = -6*m(p) - 17*z(p). Calculate r*c(s) - 5*q(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 104*j + 282. Give c(-5).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -18*c**2 + 7*c + 20. Let o(u) = -18*u**2 + 6*u + 19. Let f(n) = 6*a(n) - 7*o(n). Differentiate f(z) with respect to z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 48*k**2 + 688*k + 246. Give i(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3df1aa (base 16) in base 4?\nAnswer: -33133012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51095.26 millimeters?\nAnswer: 5109.526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 13*v**2 - 2*v + 4. Let x be h(13). Let q be (-96)\/(-44) - (-4)\/x. Let r = 6 - 3. Solve -r*l = q*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*f + 19, x = -5*f - 5 + 33. Suppose -x*m = -3*p - 6, 2*m - p - 2*p = 6. Differentiate m*o**2 + 0 + o**2 - 5 + 1 wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*m + 120947 + 5302, -5*v - m + 157806 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*o*v**3 + 9*o*v**2 - 29*o - 309*v**3 - 2*v**2 + 178368*v wrt v.\nAnswer: -738*o*v + 18*o - 1854*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190) + (sqrt(190) - -2*sqrt(190)*6) + sqrt(190) + sqrt(190))\/(1*sqrt(10)*-2).\nAnswer: -17*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 1. Let r(d) = -2*d**2 + 2 + 9*d**3 + 2 - 2*d**3 + 0*d**2. What is 6*i(f) - r(f)?\nAnswer: -f**3 + 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72591837*r**3 + 23*r**2 - 23*r**2.\nAnswer: 72591837*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(-20))\/((-2)\/(-8)). Let q(l) be the second derivative of l**5\/10 - l**4\/4 - 2*l**3\/3 + 2*l. Is 5 a factor of q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 8*z**2.\nAnswer: -2*z**2*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (946\/330 + 1 + -6). Suppose 5*o = -3*v + 12, -o - 13 + 5 = -2*v. Suppose -7*s - 1 - 27 = o. Which is the nearest to 13? (a) s (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus 0.031?\nAnswer: -16.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t - 810 = 22*t + 223*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 7*u**6\/180 + 65*u**3\/6 + u**2 - 27. Let q(a) be the first derivative of y(a). Let g(l) = 1 - 1 + l**2. Give q(g(p)).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2638 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 36. Solve 0 = 4*u - y - 4*y + a, -3*y + 11 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 414431 (base 8) to base 14\nAnswer: 38173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 1, q: 6, v: 1}. Give prob of picking 1 s and 2 q.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5 - (1638893\/64745 - (-2)\/23)) + 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -78. Suppose 128 = 4*t - r, x = -3*t + 4*t + 4*r. Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/(-18))\/((-3)\/(-8)). Suppose s*w + 6 = -c, 4*c + 2*w - 5 + 1 = 0. Solve -2*y - c*y = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6253 and 676.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 147*r - 116*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -71*w**2 - 109. Let p(j) = 71*j**2 + 108. Let z be (-66)\/14 + (-16)\/56. Let g(n) = z*h(n) - 4*p(n). What is the derivative of g(a) wrt a?\nAnswer: 142*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -314, -309, -302, -293, -282, -269?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173017519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/64 - -4 - (-6)\/8 - (-21)\/(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.293 and -1.6.\nAnswer: -1.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9453 + -9453. Let h(a) be the first derivative of 0*a**3 + 5\/2*a**4 + c*a**2 - 9 + 12*a. Find the first derivative of h(q) wrt q.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2511 + -2512. Suppose -2*z + 16 = 2*i, 31 = 2*z + 5*i + 3. Suppose 3*k = z*k + 8. Sort 5, g, k.\nAnswer: k, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79500000 rounded to the nearest 1000000?\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18681.327s in weeks?\nAnswer: 0.0308884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124304, -124303, -124302, -124301, -124300, -124299?\nAnswer: -124298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9607*w + 9439*w + 14112 for w.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0 + 0*p - 1\/4*p**4 - 5\/6*p**3 - 5*p**2. Let s(w) = -2 - 4*w - 2 - 3*w - 2. Give 5*d(c) - 4*s(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-44)\/8)*-10. Suppose -2*o + w = 5. Suppose 2*t = 7*t - o. Which is smaller: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 + 36*p - 30. What is r(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805 is divided by 898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2 - 3*u**2 - 8 + 12 - 3*u**3. Let v(x) = -x**3 + 25*x**2 - 3. Let h be v(25). Is o(h) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -277?\nAnswer: 72\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505865163?\nAnswer: 3, 83, 2031587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.08862 rounded to 2 dps?\nAnswer: 38.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -10\/11 (c) 286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1976070103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 8:39 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*g - 50*g + 1722 = -85*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 68 + 171)*(r**2 + 4*r**2 - 3*r**2) in the form h + w*r**2 + p*r and give w.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 207216064 minus 0.251525?\nAnswer: 207216063.748475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 8*b - 3. Let h be 26 - (-2 + (3 - 2)). Suppose -10*g + 7*g = h. What is the units digit of j(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9119*u + 829*u**2 + 9119*u + (2*u - 7*u + 0*u)*(-u + 3 - 3).\nAnswer: 834*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 92 = 3*v, 0 = -3*h - 0*v + 4*v + 11. Solve 5 = 156*z - 161*z - h*m, 0 = -2*z - 3*m - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/11 - 535528*f\/11 + 3212376 = 0. What is f?\nAnswer: 66, 267698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6144 and 960?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 482211.6 litres?\nAnswer: 482211600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14451 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 + 1971*m**4 - 3975*m**3 - 13851*m**2 - 7908*m = 0. What is m?\nAnswer: -659, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6057897031.\nAnswer: 6057897031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 4430*b + 35634. What is t(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - 568*p + 566*p - 643 + 2*p**2)*(p**2 - 3*p + 3*p).\nAnswer: -2*p**4 - 2*p**3 - 643*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3001*(-2)\/2 + (240 - 244)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316.322361 - 166\nAnswer: -482.322361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2868 + -2484. Solve q = 13*y + 436 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6181682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2963 by -127.\nAnswer: -2963\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 2. Let w = 116 - 163. Let v = s - w. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 7*d**2 - 4*d - 9. What are the prime factors of o(-6)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*v - 29*v - 25*v - 25*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20616396 to the power of 1\/2, to the nearest integer?\nAnswer: 4541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, 2, -2, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {g: 1, i: 4, m: 3, e: 2, s: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/12)*(t\/(t*t*t**(-24)*t))\/t)**22)**39 assuming t is positive.\nAnswer: t**(37895\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*d + 32 = -12, -2*d = -5*c + 113. Suppose 12 = t + 8. Let o(u) = 4*u - 3. What is the remainder when c is divided by o(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582 is divided by 787.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:04 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/12521?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12962539*h + 12960020 wrt h?\nAnswer: 12962539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10*g - 270 = 0. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 128. Let p be n(33). Let i be 6\/(-8)*(1 + -5). Suppose -v - p = 0, -i*k + 14 = 2*v + 1. What is the highest common divisor of k and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 39*p**2 - 332*p + 39. Calculate o(46).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 4. Let a(x) be the first derivative of -x**6\/180 - 55*x**3 + 8. Let k(m) be the third derivative of a(m). Determine k(l(b)).\nAnswer: -18*b**2 + 48*b - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1, 71?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4886 + 5054. Solve 22 = s*j - 179*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-30)*-5*(480\/(-54) + 9) and (-2)\/12*195\/3.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -64894444954.5+2\nAnswer: -64894444952.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 683*n**2 + 8202*n - 85. Give q(-12).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -644, -0.66, -12, -3\/5 in ascending order.\nAnswer: -644, -12, -0.66, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 + 659736*t - 4618348 = 0. What is t?\nAnswer: -164941, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 487, 737?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 11172*o**2 + 22279*o**2 - 11100*o**2.\nAnswer: 7*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**9\/168 - 73*l**8\/84 - 207*l**5\/20 + 756*l**2. Find the third derivative of a(q) wrt q.\nAnswer: -360*q**3 - 17520*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3119144 divided by 445592\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 4. Let c(u) = 2*u + 7. Let t(x) = -7*b(x) + 4*c(x). Let r(m) = -m**2. Determine r(t(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10032.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220342 - -100?\nAnswer: 220442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 6*b**3 - 4*b**3 + (-3*b**2 + b**2 + 5*b**2)*(-2 + b + 2) + 6*b**3 - 2*b**3 + 3*b**3)*(2 - 4 + 5 - 7*b).\nAnswer: -77*b**4 + 33*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 4, e: 5, c: 5}. Give prob of picking 1 c and 1 e.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7968372?\nAnswer: 2, 3, 19, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0 = -5. Let z be 0*2*w\/4. Let t = 2 + 1. Solve -2*o - t - 7 = z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (2 - -6) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1102100111 (base 3) to base 6\nAnswer: 333234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, -3, -1, -2, 22 in decreasing order.\nAnswer: 22, -1, -2, -3, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3 and (-38)\/11*(-5)\/(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71737400513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.24 - 48.24. Which is the closest to -3? (a) 4 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 46*t**2 - 51*t + 8. Calculate the smallest common multiple of 180 and n(4).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*6*(-3)\/(-12). Let l = b + 1. Let f(u) = -1. Let i(q) = q - 2. Let o(w) = -w**2 - 4*w + 5. Let j be o(-4). Give j*f(a) + l*i(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) -4 (b) 4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 4*b**2 + b + 1. Let m be r(4). What is the third derivative of -k**m + 5*k**5 - 3*k**5 - k**2 wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39621537 to the power of 1\/2, to the nearest integer?\nAnswer: 6295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/25)*k**(-1\/18))**(10\/13) assuming k is positive.\nAnswer: k**(389\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24102 (base 7) to base 11\nAnswer: -474a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21132.8 + -21133. What is the nearest to 1 in 1\/5, 3, 18, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 7*o + 549. Let d(h) = -15*h**3 - h + 0*h + 1 - h + 2*h**2 + 5*h**3. Calculate d(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233 - 243. Let d(p) = -p**2 - 6*p + 53. Let l be d(r). Calculate the highest common divisor of 3 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -654*h**2 + 80*h wrt h?\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 205547100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 0 + 0 + (-47*h + 167*h + 20*h)*(-1 - 2 + 4) to the form k*h + x and give k.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:30 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -604, -9, -387 in descending order.\nAnswer: -6, -9, -387, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33689242 and 551.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39568 and 327616?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 398 - 83. Let k = 63 - s. Solve c + 5 - 1 = k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v - 2. Suppose 3*o = 22*o - 38. Let f(a) = a - 1. Calculate o*z(t) - 14*f(t).\nAnswer: 2*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 46*q**2 + 16*q - 2201. Give a(-47).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 724 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17473, 28626, 39779, 50932?\n\"Answer: 11153*z + 6320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 8*z + 71. Let u be v(13). Let t(a) be the first derivative of a**3 + 1 + 9\/2*a**2 + u*a. Factor t(d).\nAnswer: 3*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5046 = -12*c + 5*s, c - 9*s + 7*s - 411 = 0. Solve -c = 4*b - 427 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 11*x**2 + 5*x - 4. Determine b(10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {t: 3, n: 2, z: 1, l: 2, v: 3, b: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 23 = 7*r - 3*m, 5*r - 45 = -5*m. Calculate the highest common divisor of 1884 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 - -96. Let l(x) = -1 - 61 - g*x - 19*x. What is the remainder when l(-6) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 4*o - 2*o)*(-12*o + 7*o - 16*o) to the form y*o**2 + i*o + d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4\/5, -2\/21, 2576, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n. Let c(q) = 16*q + 2. Let l(o) = -c(o) - 3*u(o). Give l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 - 32*a + 512.\nAnswer: (a - 32)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o + 10 = 0, o = 2*u - 32. Let r = u - 8. What is the third derivative of v**3 + r*v**4 - 14*v**2 + 26*v**2 - v**3 wrt v?\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 15*r**2 - r - 13. Let n(p) = -p**3 + 5*p**2 - p - 10. Let k be n(5). Let c be o(k). Solve 12 = j - c*d, 2*j - 2*d = 2 + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + 0\/(-1) + 0. Suppose 6*u + 3*z = 2*u + 28, -5*z + 20 = 0. Solve 0 = -j - u*v + v - n, 5*j + 3 = 4*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - 2*sqrt(539))**2 + 5*sqrt(11)*5.\nAnswer: 25*sqrt(11) + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*u - 6*u + 2*p, -3*u = 3*p - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/92)\/((-4)\/(40\/3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/44)\/(5\/25)*(-2)\/(-5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, j: 2, f: 2}. Give prob of picking 2 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -714 + 2249. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*h = 4*w - 790, 3*h = -2*w + 495. Let y = -164162 + 164192. What is the highest common factor of w and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*v + 4, 2*v - 3*v + 1 = 0. Let u(l) = l**2 - 18*l + 52. Let j be u(15). Solve -3*q = -i - j, -3*i - 9 = -q - n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**2*s*s)**(1\/5))**9*(s**(-1\/2))**(-1\/9)*(s**(-2\/3))**(2\/137) assuming s is positive.\nAnswer: s**(22759\/12330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let w(b) be the second derivative of 0 + 0*b**2 - 13\/6*b**3 + 9*b. Calculate p(w(f)).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:21 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/221429475 and 121\/150?\nAnswer: 442858950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7)*h*h**7*h**4*h*h**(-8)*((h**(-5)\/h*h)\/(h\/((h\/h**(-6))\/h)))\/(h*h*h**(-1\/3))**26 assuming h is positive.\nAnswer: h**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2249.7 - 2250. Which is the closest to 16? (a) -28\/11 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 540*j + 5. Let w be k(-7). Let i = 60371\/16 + w. What is the common denominator of 1\/4 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/47784 and 43\/619423992.\nAnswer: 619423992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q - 3*q + (2 - 2 + 2*q)*(3 - 3 - 1) + 4*q - 2*q - q)*(3*q - 5 + 5)*(-3*q + 3*q + 4*q).\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -4, 2 in ascending order.\nAnswer: -4, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 57361*x + 10. Is c(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2 (c) -93 (d) -3\/2 (e) -0.36 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052909 to 4 dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3743 divided by -1430?\nAnswer: 3743\/1430","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -195*0.01\nAnswer: -1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/24 + 269*a**3\/6 - 72361*a**2\/4 + 2*a - 935. Factor v(k).\nAnswer: -(k - 269)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-9 + 4 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*v - 8*v. Suppose -y + 2*z + 12 = 0, z + 18 = v*y - 0*y. Calculate the remainder when 21 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233771 (base 9) to base 10.\nAnswer: -140599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-26)*1*2. Let q = -87 + 84. Let d be (q\/3 - -5) + -1 + -3. Do s and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 43*d**2 + 261*d + 7. Determine u(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545*q = -1547*q + 3*s + 13, 2*s = -4*q + 50 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d + 3. Let m(f) = -f - 2*f + 5*f + 16*f**2 - 4 + 6. What is the remainder when m(-2) is divided by i(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:32 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 3*b**2 - 2*b - 2. Let s be z(-2). Let c be (-2)\/(-6) + (2 - 2\/s). Factor -4\/7 - 6\/7*g - 2\/7*g**c.\nAnswer: -2*(g + 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by -15 - -17 - ((-12)\/4 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0*j + 41\/3*j**3 + 119*j**2 + 0 + 25\/24*j**4. Differentiate k(y) with respect to y.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from foooopoofufooupozj. Give prob of picking 1 p and 1 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 7:56 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -194206240 divided by -870880\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.046 - -4.246. Let a = 4 - r. Let i = 0.3 + -0.2. What is the closest to 1\/2 in 0.2, a, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303011131 (base 4) in base 2?\nAnswer: 10110011000101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.22 (b) 5 (c) 0 (d) -2\/29 (e) 0.045\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 23 + 13)*((f**2 - 5*f**2 + 3*f**2)*(2*f**2 + 0*f + 0*f) - 2 - f**4 + 2) to u*f**2 + w*f**3 + k*f**4 + t + y*f and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 10, 3*n + q = -2 + 16. Let b(f) = -f**3 - f**2 + f - 1. Let x = 707 + -706. Let o(d) = d**3 + d**2 - 4*d + 3. What is n*b(g) + x*o(g)?\nAnswer: -2*g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 561160 (base 7) in base 8?\nAnswer: 301073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1100, -1264, -1436, -1622, -1828, -2060, -2324?\n\"Answer: -z**3 + 2*z**2 - 163*z - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 4, 0, 6200?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 118043 or 120790?\nAnswer: 120790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(10\/(-6)) - 16 - 1. Let b(s) = -242*s**3 + 11*s**2 + 19*s - 20. Let x be b(u). What is x rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-27258)\/(-5782)*14\/6 + (-585)\/57\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p - 3*p + (-3 + 1 + 0)*(5*p - 2*p - p) - 4 + 4 + 4*p + (p + p + 0*p)*(6 - 3 - 1) + 4*p - 6*p + 3*p)*(3*p**4 - 4*p**4 + 2*p**4).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 2\/25, -0.4, -0.5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -10752355.05736.\nAnswer: -10752355.35736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2366 = -182*x, -s + 7*x - 48 = 2*x + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -21 + 3 - (4 + -1 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*2993\nAnswer: 5986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -23*v**3 + 7*v**2 - 5*v - 5. Suppose -4*o + 6 + 8 = 5*x, -2*o = -2*x - 16. Let a(q) = -q**2 + q + 1. Let d(l) = o*a(l) + i(l). What is d(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2013 + -1200313231?\nAnswer: -1200321310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4505 + 2410136\/535. What is the common denominator of k and 2\/15?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**4 - 20*b. Let a(r) = r**4 - r. Let n(j) = -12*a(j) + p(j). Find the second derivative of n(u) wrt u.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1505, -3009, -4513, -6017, -7521?\nAnswer: -9025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74342?\nAnswer: 2, 37171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 1, q: 1, w: 2}. Give prob of picking 1 q, 1 w, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/2)*p**2\/p)\/((p*p**2*p)\/(p*((p\/p**(2\/13))\/p)\/p))*(p\/(p*p**0*p))**(-17\/3)\/(p**1)**(-16) assuming p is positive.\nAnswer: p**(1249\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3131 + -3498.8. Let s = -368 - j. Let p(x) = x**3 - 5*x**2 - 4*x - 7. Let q be p(6). Which is the closest to -2? (a) s (b) -4\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848533698 divided by -47140761?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 + 9 = 0. Let p be (120\/16)\/((-6)\/b). Suppose -5*t - p = 30. Is t greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*z + 5 = 0, 11*t + 2*z + 25 - 80 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357932183.\nAnswer: 7, 101, 506269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*(s*(s*s\/(s\/(s*s**(-10)\/s)))\/s)\/s))**(5\/14)*(s\/(s\/(s**(-3\/19)\/s)))\/s**(-7\/4))**(3\/28) assuming s is positive.\nAnswer: s**(6075\/14896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -19*f + 120 + 59 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 801 - 462. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 - -100f1?\nAnswer: 100cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6 - 42*c + 27*c + 35*c. Let z(k) = 10 + 21 - 5*k - k - 29 - k. Calculate 6*n(g) + 17*z(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.59? (a) 82\/19 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -43*c - 3359. Give l(-79).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284520 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f**2 + 6*f**2 + 12*f**2. Let h(c) = 2*c**2. Calculate b(h(v)).\nAnswer: 44*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58243, 116488, 174733?\n\"Answer: 58245*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5010 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24.95 in 5, -8.75, -7, 2\/13?\nAnswer: -8.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 98. Let i(v) = 66 + 3*v - l. Let c(p) = 2*p. What is c(i(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046099 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + b + 10. Suppose -k + 5*l = -181, 5*k - l = -b*l + 1035. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1216) + 0 - ((sqrt(1216) - (sqrt(1216) + -1)) + sqrt(1216) + -4)**2) + 0 + 5 + -3.\nAnswer: -1223 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*v - 7230, 2309 = -2*v - k - 583. Let l = v - -2825\/2. Calculate the common denominator of l and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 2, q: 6, z: 3}. What is prob of sequence xzzv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -0.5, 1, -5\/7, 374\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {a: 2, j: 2, t: 4, r: 2, h: 4, s: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6*-1)\/((-6)\/4). Suppose g = c + c. Suppose -15*r + 92 = 8*r. Solve -c*a - r = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.4 (c) 36\/5 (d) -0.0095 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -59*p**4 + p**3 + p**2 - 11*p - 4602. Let d(n) = -2*n**4 - n**3 - n**2 - 4. Let v(f) = -d(f) - o(f). What is the derivative of v(i) wrt i?\nAnswer: 244*i**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7) + 3*(sqrt(28)\/sqrt(4) + sqrt(7))) + (sqrt(2400) + sqrt(2400) + sqrt(2400)*1 + sqrt(2400))\/sqrt(8).\nAnswer: 281*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7413753 to the nearest integer?\nAnswer: 2723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggsk when four letters picked without replacement from sggsgkg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 1. Let v be i(-3). Suppose -g = z + z - 110, 3*g - 274 = -5*z. Is v\/(-15) + z\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448479.7l in millilitres?\nAnswer: 448479700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116050157 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, z: 1, b: 1, j: 6, i: 1}. What is prob of picking 1 j and 1 b?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - v**4 + 3*v**4 + 2*v**4 - 4*v**4 + 13 - 13 - v**4 + (-2*v**3 - v**2 + v**2)*(-2*v + v - 2*v).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19.92 and -11?\nAnswer: 30.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and 4749.89?\nAnswer: 227994.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44748423*w**4 + 61038158 with respect to w.\nAnswer: -178993692*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -4, 32, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 8:43 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1966*w + 3. Let y(m) = 656*m - 1. Give 6*g(u) + 17*y(u).\nAnswer: -644*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 3. Let l be d(2). Let h = 23 + -25. Let i = h - -5. Calculate the greatest common factor of l and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 228*d**4 - 1962*d**3 + 17289*d**2\/4 - 867*d\/2 = 0. Calculate d.\nAnswer: 0, 2\/19, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 63, 54, 17, -48?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 - 110659792*s\/3.\nAnswer: -2*s*(s + 55329896)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 31*h = -258. List the prime factors of h.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -289, 315, -1 in decreasing order.\nAnswer: 315, 18, -1, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 4*a - 6*a)*(0 - 2 + 1) - 4*a - a + 4*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*j - 1 - 1 = 11*l - 9*l + 286*j, -4*l + 7*j - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 169 - 23 = -2*a, 103 = j + 5*a. What is the third derivative of 118*d**3 + 13*d**2 + j*d**2 + d - d + 53*d**2 wrt d?\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1960 - -1379. Let f = -581 - h. Solve 3*a = -f*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 95902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2. Let h(s) = 5*s**3 + 4*s**2 + s. Let r(o) = -2*d(o) - h(o). Let m be r(-1). Is m != 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 5}. Give prob of sequence ff.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 906 times 0.4\nAnswer: 362.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ba9 (base 15) to base 2.\nAnswer: 1011101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4101032 and 48?\nAnswer: 24606192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41455 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y - x = 112, -2*x - 40 = -2*y. Suppose 0*g + 2*g = -174. Let a = g - -156. What is the greatest common factor of y and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -64, -7, -5, -1.\nAnswer: -64, -28, -7, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 6*f - 4. Suppose -2*u - 3*o - 5 = 0, -4*u - 2*o = -6*o - 20. Find the third derivative of -3*q**u - 37*q + 5*q**5 + 37*q - 4*q**f wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560332 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33022 - 1?\nAnswer: 33021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j**4 - 7*j**4 + 31*j - 2*j**2 - 32*j + 0*j**3 + j**2 + 5*j**3 as o*j**2 + u*j + k*j**3 + v*j**4 + i and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 147*h - 544. Calculate o(11).\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36626 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9089 and 430?\nAnswer: -3908270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -30\/7 (c) -2 (d) -0.76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-693)\/378 + ((-3)\/2)\/(-8 + 17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 2:35 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxxkgggxgg. Give prob of sequence gx.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99949718896646626 - -99949714194881573.0000209. Let d = v - -4701764802. Let y = d + 251. What is y rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/8 (b) 2\/9 (c) -120 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - 16 = 0. Suppose g + 4*k + k + 8 = 0, 0 = -4*g - p*k + 16. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 128, 3\/7, -5, -61\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*q**2 - 31*q**2 + 3*q**3 - 10*q**2 - 13*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhhhiuauxhww. Give prob of sequence ui.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -48 + (-6 - (-3 + -19)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -514.5 - -471. Let m = -43.3 - d. Which is bigger: 65 or m?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2325 - -1561. Is 51 a factor of 2\/(-6)*-3 + (0 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 29*n**3 + 2*n**2 - n - 2. Let h be w(1). Calculate the greatest common divisor of 70 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k**3 + k. Let d(a) = -a**3 - 3*a**2 + 4*a + 1. Let p be d(-4). List the prime factors of g(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 3. Let f be c(-4). Let o be 2 - ((-1 - 0) + f). Let u = -24 - -28. Solve 4*h - 12 = n, -10 = o*n + h - u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmm. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 32 = 4*x, -2*x = 2*x - 2*f - 22. Suppose -x*m + 27 = -6*m. Are -9 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1056)\/(-55) - (-1)\/(-5). Let u = 24 - g. Calculate the remainder when 14 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/21 + 182*t**3\/3 + 22174*t**2\/21 + 13698*t\/7 - 17004 = 0.\nAnswer: -13, -7, 3, 654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 159\/131?\nAnswer: 159\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 8*i**2 - 2*i + 1. What is the remainder when 45 is divided by h(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 27*h - 12. Let w(j) = -23*j + 10. Let y(l) = 5*f(l) + 6*w(l). Let p(k) be the third derivative of -k**5\/5 - k**2. Calculate y(p(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/748359 or -1?\nAnswer: 13\/748359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3 + 1. Let i be (-2 + 1)*(2 + r). Solve -2*h + i - 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/88 and 119\/396?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -415066 (base 8) to base 6.\nAnswer: -2541514","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 8) to base 3.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -30*m - 4. Let g be c(-3). Suppose g + 19 = 5*s. Let n be -3 - s\/(-12)*2. What is the closest to n in -2\/19, -3\/2, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p**0)\/p)\/(p*(p\/(p**6*p)*p*p)\/p*p))\/((p**(1\/5)*p)\/((p**(-5)*p)\/p)) assuming p is positive.\nAnswer: p**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2516 - -1261.282.\nAnswer: -1254.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -131502 (base 11) to base 4\nAnswer: -302201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**5*o + 177*f**4 - 4*f**2*o*q - 9532*f*o*q + f - o wrt f?\nAnswer: 100*f**3*o + 2124*f**2 - 8*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**3 - 6*u**3 - 3*u**3)*(-2*u**2 + 4*u**2 + 0*u**2) - u - u**5 + u.\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/15)\/(3\/10). Suppose p*l + j + 2 - 1 = 0, 0 = 3*l + 5*j + 22. Let x = -5 + 3. Which is the nearest to l? (a) -5 (b) 3\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120585461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 24.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x - 8*x + 7*x**2. Let q(h) = -h + 3. Let k(r) = 3. Let d(t) = 13. Let s(o) = 2*d(o) - 9*k(o). Let a(v) = q(v) + 3*s(v). What is a(f(w))?\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26393.\nAnswer: 26393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04152 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 174*r**2 - 112*r + 4. Let l(n) = -2*n**2 - 3*n + 1. Let t(q) = -c(q) + 6*l(q). What is the second derivative of t(z) wrt z?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c. Let a = 4 + -1. Let k(y) = -6*y. Give a*m(l) + 4*k(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6969\/17 - -410. Put -3\/4, 1, x, 5 in increasing order.\nAnswer: -3\/4, x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30537891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 56760000 to the nearest one million.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 - -199. Let v = q - 95. Let f(i) = -5*i + 3. Let l(h) be the third derivative of h**4\/24 - h**3\/6 + h**2. Give v*f(k) + 6*l(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -61978897\nAnswer: -12395779.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**5 - d**5 + 2*d**5)*(-2 + 2 + 1).\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 309938 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 78674 - 78674 + 4*f**2. Let b(r) = 62*r. Give l(b(x)).\nAnswer: 15376*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/36)\/(2\/(-8)). Let x = 2127 - 2143. Which is the third smallest value? (a) m (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*a + 8, 2*d - 3 - 20 = -5*a. Solve -l = d*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 100 = 8. Suppose 0 = -k + m - 7, 7*k - 2*m = 2*k - x. Let y = -2 - k. Which is bigger: y or 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 2. Let v be r(2). Let s = -53 + 58. Solve x - v + s = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -6121323?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 9*z)*(1 + 0 + 0) - 3*z + 4*z + z + 5*z - 2*z - 2*z)*(-7*z - 10*z + 2*z)*(-2 - 1 - 1).\nAnswer: 720*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 770.5603 nanoseconds in milliseconds?\nAnswer: 0.0007705603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 15*z**2 + 211*z - 202. What is l(-24)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/3416 and 89\/2576.\nAnswer: 157136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00510327 to four dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3586880222 to the nearest integer?\nAnswer: 59891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + -20 + 9 + 14 + 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60410000 rounded to the nearest 1000000?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 319*r + 10175. Give z(-36).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*h**4 - 36*h**3 - h**2 + 96377*h wrt h.\nAnswer: 240*h**2 - 216*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15510 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - (8 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1185, 361, -463?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 21. Suppose h = j*h - 66. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*j + 399 + 2873 = -1546 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 105*c**2 - 5*c - 4. Let b be a(-3). Let t be (-2)\/7 + b\/14. What is the units digit of t\/6 - (-6)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 365*j + 7304 = 0, 5*j + 70 + 31 = -168*y + 169*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 785, 1556, 2313, 3056, 3785, 4500?\nAnswer: 5201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u = -300 + 300 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169344.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 12*r**2 - 84*r - 1066. Determine m(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1504.\nAnswer: 5\/1504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 + 250\/(-4). Let l = 15 - w. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012 - 222210?\nAnswer: -1001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**6\/360 - 47*v**5\/120 + 9*v**4\/4 + 29*v - 1. Let u(y) be the third derivative of z(y). Let k(b) = b**2. Give u(k(s)).\nAnswer: 2*s**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -53*w**2 + 3*w. Calculate k(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -118, -161, -224, -301, -386, -473, -556?\n\"Answer: m**3 - 16*m**2 - 2*m - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - sqrt(126)*2)\/sqrt(6))\/(sqrt(252) - sqrt(7)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k**2 + 11*k**2 - 2*k + 127*k to the form p + n*k + c*k**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9995\/1332 + -17\/148. Calculate the common denominator of -70\/1341 and h.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480652 is divided by 165.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 3*k**2 + 5*k + 2*k - 5*k - 3*k**2 in the form t + y*k + w*k**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120853545 a multiple of 5251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1137348, -6 in descending order.\nAnswer: -0.1, -6, -1137348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4333\/3 + 1444. Put -7\/5, 3, l in ascending order.\nAnswer: -7\/5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2899 + -1497. List the prime factors of f.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 + -125. Let j(d) be the first derivative of -d**2 + 3*d + 205. Let k(s) = -15*s + 20. Calculate b*k(g) + 20*j(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1837*c**5 - 3*c**2 + 562?\nAnswer: -110220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-133))\/((-4)\/(56\/(-54))).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*o + 8. Solve 4 = -o*x - 3*v, 2*v + 0 = -2*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 7) + -1 - -4. Which is the second smallest value? (a) -2\/11 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 9:45 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/105*3483\/172\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 59*o + 36*o - 83*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100110011010101001 (base 2) to base 15.\nAnswer: -18c4a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 4. Let o be j(-9). Suppose -b + o = -15. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1403 - -650. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12468 and 32.9366?\nAnswer: 12500.9366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6787885367\/380 - 17862943. Let h = -1756\/19 - r. Calculate the common denominator of 11\/14 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2363311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505476863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 10*o + 63. Solve -5*y + 4*w + o = 0, 2*w - 2 = -y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -37*s**7\/210 + 203*s**3\/6 - 9*s**2. Differentiate p(l) wrt l.\nAnswer: -148*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5435 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -796 or -3976\/5?\nAnswer: -3976\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - m**4 - 2*m + (-5*m + m + m)*(-m**3 - 18*m**3 + 0*m**3).\nAnswer: 56*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1136 and 73\/10.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g**3)**(-41))**(22\/5) assuming g is positive.\nAnswer: g**(902\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i**2*x**4 + 118*i**2*x - 3*i**2 - 796 wrt x?\nAnswer: -16*i**2*x**3 + 118*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 1 + 1 + (-2 - j + 2 + (6*j + 19 - 19)*(-1 + 4 - 4))*(0*j + j + 0*j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, l: 10}. What is prob of picking 2 l?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w - 52 = -64*w - 4*r, 5*w + r = 58. Let n = 61 + -29. What is the lowest common multiple of n and w?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrndzndnnodzdonnodrn. What is prob of picking 1 n and 1 z?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58521, 234105, 526757, 936477, 1463265?\n\"Answer: 58534*g**2 - 18*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 + 690\/69. What is the closest to 3 in -0.5, h, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.106625 - -0.878.\nAnswer: 0.771375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1220 - 224*c - 20*c - 1220 to the form i*c + o and give i.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 (base 10) in base 3?\nAnswer: 10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344568411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + (31\/(-2) - -6))\/(5\/(-7500))?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100111 (base 2) in base 10?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 3*w + 53. List the prime factors of i(17).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-3) + (-4)\/(-6). Suppose -3*i - 3*b + 2*b = 38, r*i - 4*b = -28. Let x be i\/(-3) - (4 + -2). Solve -f - x*f + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 3009?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 8 + 4 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.712567 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/24 and (-422)\/(-1827) + (1053\/273 - 4*1)?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 1\/10*h**5 + 1\/3*h**4 + 0*h**3 + 0*h**2 + 6 + h. Let g(k) be the first derivative of u(k). Suppose g(o) = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**6\/4 - 3231*f**5\/20 + 4833*f**4\/16 + f**3\/4 - 1611*f**2\/8 - 13139. Suppose w(k) = 0. What is k?\nAnswer: -1\/2, 0, 1, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-t + 6*t - 2*t)*(-26 + 0 - 20)*(24 + 5*t - 24).\nAnswer: -1380*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 66*n**4\/7 + 1125*n**3\/7 - 1209*n**2 + 13275*n\/7 + 621\/7 = 0. Calculate n.\nAnswer: -23, -1\/22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19d5e3 - 3?\nAnswer: 19d5e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvovhhevovheevve. What is prob of sequence vohe?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + -2*(sqrt(270) - (sqrt(270) + (2*sqrt(270) - sqrt(270)))))\/(sqrt(160)*2 + sqrt(10)))\/((1*sqrt(81) + sqrt(81))\/sqrt(9) + sqrt(36)*-3).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (19*(-60)\/(-570))\/((-2)\/(-17)). Solve -8*a = -p + 49 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350438893 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -703 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -36, -41, -46, -51, -56?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 858 and 23034?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -3157.\nAnswer: -5\/3157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 5:54 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**5\/20 - s**4\/3 + s**3\/3 - 2*s**2 + s. Let q = -16 + 20. Give g(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - j + j**2 - 2*j**2 + 3*j. Let z(m) = 5*m**2 - 3*m. Let b be (14\/8 - 3)\/(5\/20). What is b*z(n) - 8*x(n)?\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3010*z + 770. Let t(i) = 47*i - 12. Let j(l) = 6*d(l) + 385*t(l). Let w(o) = 2*o**2. Determine w(j(a)).\nAnswer: 2450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.89 + -0.11. Let q = z - -80.7. Let m = 4 + q. What is the biggest value in -2, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3994*s**3 + 1687*s - 1687*s - 2 - 3392*s**3 to c*s**2 + y*s**3 + t*s + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/4 + 45\/20. Which is the closest to 1? (a) 4\/9 (b) 4 (c) s (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 1185*d - 1760*d - 556*d in the form p*d + f and give p.\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 3*k**2 - k + 2. Let y be u(3). Let d(x) = -3*x**3 - x**2 - x. Let i(a) = a**2 + a. Give y*d(n) - i(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52597973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8515*b**2 - 4*b + 3009*b**2 + 4*b.\nAnswer: 11524*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 64 = -10*z. Let i(p) = 23*p**2 + p + 1. Let a be i(1). Suppose -11*f - a = 30. Put f, -1, z in decreasing order.\nAnswer: -1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0.005, 1?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 48. Calculate the remainder when 83 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 5}. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 75107.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 4*m**2 - 6*m - 7. What is s(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11826 and 12807?\nAnswer: 16828398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85.908 + -86. Let p = t - -1.282. Let n = 0.64 - p. Round n to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -15*q + 164. Let w be a(11). Let z be w\/(3 + 5 + -9). Which is bigger: z or -6\/103?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -5 (b) -14\/2211 (c) 1.9 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:45 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvvl when four letters picked without replacement from lvlvvlvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - w + 12. Let r(t) = 13 + 11 + 25 + 7*t - 7. Let p be r(-6). What is h(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62608607.04+234\nAnswer: 62608841.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 4*d**4 - 3*d**3 - 9 - 3*d**4 + 0*d**4 as r*d + l + p*d**2 + v*d**4 + q*d**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(51) + sqrt(255)\/sqrt(5))*3*-6)\/(sqrt(9)\/(sqrt(12)\/sqrt(4)) - (sqrt(12)*1 - sqrt(12))))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2 + s - 1. Let z(c) = 5*c - 62. Let g be z(12). Let t(v) = 4*v**3 - 6*v**2 - 6*v + 6. Determine g*t(r) - 12*u(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 1, x: 1, r: 1, l: 1, o: 1}. What is prob of picking 2 a and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2014*i - 4406. Let f(l) = -672*l + 1467. Let b(r) = 11*f(r) + 4*h(r). Differentiate b(p) wrt p.\nAnswer: 664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.5. Let h be ((-14)\/(-30))\/(9\/((-216)\/(-84))). Which is the third smallest value? (a) -4 (b) l (c) h (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 584 = 9*u. Suppose -u*q = -297*q + 40. What is the second biggest value in 0.2, q, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.75 or 442?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttwe when four letters picked without replacement from wwejteehjtte?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/3*(-12456)\/(-10). Differentiate -z*t**2 - 2 + 2*t - 117*t**3 + 4152*t**2 with respect to t.\nAnswer: -351*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i + 5. Let r be p(3). Suppose 3*t + 32 = 4*d - t, 5*d - r = -2*t. Solve -h + d = 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37617 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1014566, -2029122, -3043678?\n\"Answer: -1014556*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 9:18 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 11. Let t(p) = p. Let q be t(l). Find g, given that 4*g**5 - 2*g**3 + 2*g**5 - 2*g**2 - 2*g**2 + 8*g**q = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*c**2\/5 + 8966*c\/5 + 1494\/5.\nAnswer: 2*(c + 747)*(6*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 1. Let l(p) = -7*p**4 + 2*p**2 - 28. Let n = 3 + -1. Let g(f) = n*m(f) + l(f). What is the first derivative of g(y) wrt y?\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Let f = 1 - g. Is -2\/3 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1324 or -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9663080311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/138? (a) -0.3 (b) 1\/3 (c) 1\/9 (d) 5 (e) -17\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*g - 65, q + 20 = -g - 15. Let c = q - -15. Let v = 50 + c. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -2*y**3\/3 - 4*y. Let b(l) = 2*l. Determine b(n(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-925))\/(-2*2\/8).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -1.16539.\nAnswer: -0.466156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94 * -19.\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1726 + -1783. Which is smaller: h or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + ((12 + 0 - -8) + -5 - 5)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4050258 by -131.\nAnswer: -30918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*p - 17247, 1 = -2*p - 1. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7550 and 42.\nAnswer: 158550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23.6563 or 38\/3?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b = -32*b - 66. What is the highest common factor of b and 396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g**3 + 5*g + 5. Let i(z) = 35*z**3 + 9*z**2 - 3*z - 30. Let w(p) = 9*p**3 + 2*p**2 - 6. Let f(l) = -2*i(l) + 9*w(l). Give -5*f(m) + 6*j(m).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 66?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 267897 smaller than 267897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*o + 43*o + 1 - o + (-o + o - 2*o)*(2 + 5 - 1) + 1 - o - 1 in the form u*o + k and give u.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t + 1. Let f be i(2). Suppose -5*l = 3*k + 40 - f, -4*l - 5*k = 21. Calculate the common denominator of 97\/14 and ((-34)\/6)\/(l\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5755*r = -3243*r + 306464 for r.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 451898250?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + 176\/(-77). Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:08 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**4 - 7*l**3 - 3*l**2 - 2*l + 5. Let i(d) = 5*d**4 + 11*d**3 + 4*d**2 + 4*d - 8. Let c(u) = -5*i(u) - 8*r(u). Suppose c(s) = 0. Calculate s.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z**4 - 1\/6*z**3 + 0 - 1\/120*z**6 + 1\/15*z**5 + 0*z + 14*z**2. Let v be ((-3)\/2)\/(6\/(-16)). Determine c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1900849 to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose d - x = -1. Suppose 6*i = 3*i. Which is greater: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2. Let r(b) = b - 4. Let y(c) = -2*c + 7. Let o(l) = -7*r(l) - 4*y(l). What is o(f(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2137994 = -2*l, -24*k - 2138009 = -28*k - 3*l. What is k rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -63\/5, -13, -3, 0.3, 4\/3?\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {c: 2, r: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {t: 1, d: 2, y: 1, f: 1, u: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**2 - 608*i + 10777. Give y(24).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10344 is divided by 1724.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 - ((12 - 6) + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-12)\/(-40))\/((-12)\/16*-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -444 + -305?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/182251069 and -61\/182251069.\nAnswer: 182251069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 1\/7, -7246, 1\/12, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 2*u + 3. Let w be d(2). Suppose -k + 11 = -w. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1028713, -1028719, -1028725, -1028731, -1028737?\n\"Answer: -6*k - 1028707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.126711213 rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 9. Find the third derivative of 5*u**3 - 5*u**3 + g*u**3 - 2*u**6 + 4*u**2 wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188 - 188. Suppose 3*y + 139 - 442 = q. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 75 = t + 5*l, -l = 2*t - 25. Let q(x) be the first derivative of x**3\/3 - 5*x**2 + 3*x + 2. List the prime factors of q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 110011110111111?\nAnswer: -110011111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8497113?\nAnswer: 3, 2832371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/21)\/(-1) + 12\/45*(-65)\/26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((440\/33)\/20)\/((-4)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-477)\/27*30\/(-4). Suppose 2*p - 8 = 0, -5*v + 2*p = -82 - z. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.515419mg?\nAnswer: 0.000000001515419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2*u**4 + 2*u)*(u - u - u) - 15*u**5 - u**5 + 11*u**5 + (3*u**4 - 3*u**4 - 6*u**4)*(-7*u + 37*u - 19*u).\nAnswer: -69*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, c: 2, t: 7, s: 5, e: 1, l: 1}. Give prob of sequence ttse.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = -4*y + 62, 2*y - p - 30 = 0. Let q be (-4)\/(-16)*4 - -13. Let h = y - q. Is -3 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242693000 rounded to the nearest one million?\nAnswer: -243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = d - 24. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1666*t + 1671*t = -28, 0 = 6*q - 4*t + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/168 and (0 - 526\/(-144)) + (215 - 220).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/80)\/(-1*9*4\/240).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154\/53 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112897?\nAnswer: 17, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*g**4 - 1 + (5*g + 2*g**2 - 5*g)*(-g**2 + g**2 - 2*g**2) + 13*g**4 - 15*g + 15*g.\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**5 + 252*f**2*g**3 - 277*f**2*i - 30*f*g**3 - 2*f*g**2*i + 2*f*i + 5*f + 2*g**3 - 36*g*i wrt f.\nAnswer: -60*f**3 + 504*g**3 - 554*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*g*q**3*u**2 - 4*g*q**3*u + 2*g*q**3 + g*q**2*u - 2*q**3*u**2 + 3*q**3*u + 16*q**2*u wrt u?\nAnswer: -128*g*q**3 - 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -37. Solve j*l = -l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104696 and 1656?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**6\/a)\/a**(-6))\/(a*(a\/(a*a\/(a\/a**(1\/2)*a*a)*a))\/a*a)**(-44))\/((a*a**(-2\/7)\/a)**(6\/23))**(2\/145) assuming a is positive.\nAnswer: a**(1797589\/23345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 107197?\nAnswer: 2\/107197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1048867 + i**2 + 2*i**2 + 1048466 in the form v + x*i**2 + g*i and give v.\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11168*f + 69. Is r(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 2 - b + b**2 + b - 271*b**3 + 299*b**3 in the form r*b**2 + f*b**3 + p + l*b and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 46*d**2 - 4*d + 51. Let m be s(-23). Solve -141*f = -m*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81606 is divided by 4224?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/13812 and 13\/6906.\nAnswer: 13812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2892 + 2891. Let p = -0.9 - -10.9. Let n = p + -8. What is the biggest value in 4, i, 0.2, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 42. Suppose 0 = -k - 5*g + d, 3*g - 13 = -5*k. Put -3, -6, -4, k in decreasing order.\nAnswer: k, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 91. Let d(f) be the second derivative of -f**6\/180 - 3*f**3 + 51*f. Let o(k) be the second derivative of d(k). Calculate w(o(v)).\nAnswer: 4*v**4 - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 11. Let z be 9 + -13 + ((-120)\/1650)\/(4\/(-230)). What is the second smallest value in -0.04, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 3*z - 3. Let h(n) = 2*n**2 - 7*n + 7. Let w(m) = -6*h(m) - 14*r(m). Let v(s) = 118*s - 354*s + 19*s**2 + 117*s + 119*s. Determine w(v(c)).\nAnswer: 722*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204 + -141. What is the smallest common multiple of 49 and p?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5794 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30321 (base 4) to base 3\nAnswer: 1010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99917711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10*y**2 + 253*y - 432. What is g(20)?\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2 + 14. Suppose -d = -5*s - 88, -b*s + 513 = 4*d + 89. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:28 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*q**2 - 20325746*d**3*q + 42121*d**2*q**2 + 296*q**2 wrt d.\nAnswer: -12*q**2 - 121954476*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1268365949?\nAnswer: 53, 23931433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -8. Let o be 5*(-3 + -7)\/x. Let j = o + 27. Solve 7 = -j*q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433640.\nAnswer: 2, 5, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 4417.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/3191974?\nAnswer: -9\/3191974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a**2 + 2*a. Let z be m(-2). Let p(w) = -206*w**2 - w + 207*w**2 + 0*w. Let u be p(z). Let k(d) = d - 4. Calculate k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**3\/6 + 4*a**2 + a. Let y be b(-5). Let -2\/3 - 4\/3*f**5 + 8\/3*f**y - 4\/3*f - 2\/3*f**4 + 4\/3*f**2 = 0. Calculate f.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1263 + h**2 - 4*h**2 + 1284 + 2*h**2.\nAnswer: -h**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwiw when four letters picked without replacement from {i: 8, w: 5}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.857 (b) 0.12 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13380.\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220100 + -21?\nAnswer: -220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 3*a**2. Let o(k) = 12*k**3 - 228*k**2 - 588*k - 148. Let i(t) = -20*n(t) + 4*o(t). Factor i(b).\nAnswer: 4*(b - 37)*(b + 2)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -118.45. Let v = c - 1.05. What is the nearest to -2\/3 in -2\/5, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2163315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4*(-140)\/(-30). Which is smaller: -4 or g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*x - 693*x = -2083*x + 689*x + 7040 for x.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 >= 991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 1 - 2 - h**2 - 2*h + h**2 + 2*h + (-3*h + 4*h + h)*(-4*h - 2*h + 4*h) - 3*h**2 - 19*h**2 + 3*h**2.\nAnswer: -23*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 3, 2\/5, 0, 2, 249, 4?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (962\/65 + -14)\/(14\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -203, -238, -61, 334, 953, 1802?\n\"Answer: j**3 + 100*j**2 - 342*j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743682 to the power of 1\/2, to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + r + 45. Determine a(8).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0*m**2 + 20 + 2*m**4 + 0*m**3 - 9\/4*m**5 + m. What is the third derivative of q(a) wrt a?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54498897 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10536 != -642726\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11807.9*-0.11.\nAnswer: -1298.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, p: 2, q: 1, d: 1, r: 1}. Give prob of picking 1 r and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/16*-4 + (0 - 1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311211203 (base 4) in base 12?\nAnswer: -40616b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1998716, 1998902, 1999218, 1999670, 2000264?\n\"Answer: v**3 + 59*v**2 + 2*v + 1998654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 2*j. Let k = -3 - -5. Suppose k*d - d = -4*a + 44, d = 0. Calculate the smallest common multiple of j and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((6 + 3)\/9 + 7)*2. Solve w = 3*c - 2*r, -12*r = -5*c - 14*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -2, 2, 12, 4, 177.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + 10 + -4 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, 0 in increasing order.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6142.2 - 6142. What is the third biggest value in -2\/19, -29, -1\/5, c, 0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1701*l**2 + 0*l - 2*l + 2*l.\nAnswer: 1701*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 331.999999974 - 332. What is b rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9517 + 0.0483. Let l(v) = 2*v**3 - 8*v**2 + 6*v + 3. Let k be l(5). Let s = k - 749\/9. What is the closest to -5 in s, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12049979 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 - 139 = 27*g - 134 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*m - 125*m = -1405305. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697526909?\nAnswer: 7, 11, 35032817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 15652\nAnswer: -78260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -75 (b) 1 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and 7.0743949.\nAnswer: 1.0743949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7\/5)*y*y*y*y**(2\/5)*y)\/((y*y**(1\/4)\/y)\/y)**(-11\/3))\/((y**5\/(((y\/(y**(-4\/5)\/y))\/y)\/y))\/(((y**5*y)\/y)\/(y**2\/y))) assuming y is positive.\nAnswer: y**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p. Let f(r) = -10*r**2 - 11*r + 11. Let o(v) = -v**2 - v + 1. Let m(t) = 2*f(t) - 22*o(t). Calculate m(g(j)).\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:47 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*x - 21*x - 4. Let u be (-38 - -6)*x\/4. Let k(g) = g**2 - 14*g - 26. What is the least common multiple of k(u) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q - 3*h + 3, -2*q + h = -10. Suppose 0*y + 174 = q*y. What is the remainder when y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -4, -0.09, -36\/5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 63236176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 - q**2 + q**2 - 20 + 20 + 51*q**3 + (1 - 1 + 2*q)*(-2*q + 5*q**2 + 2*q) - 8*q**3 - 9 + 9.\nAnswer: 55*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/21 + -2 + 1549\/7.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/13 (b) -6 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 12:46 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 12:00 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 707 and 105581.\nAnswer: 10663681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-3)*117\/26. What is the highest common divisor of 48 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1, -714, 3, -2, -140 in descending order.\nAnswer: 3, 0, -1, -2, -4, -140, -714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*b - 287, -79*b + 75*b + 379 = y. What is the highest common factor of 20 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2950698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**16)\/o)**(-5))**(2\/11) assuming o is positive.\nAnswer: o**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 0 + 0)*(-10*i + 13*i - 21*i) + (-4 + 4 - i)*(3*i - 5 + 5) + 3*i**2 - 6*i**2 + 0*i**2.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-21393)\/(15 + -24) + -6 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34088995249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 6*v - 6*v. Let h = 0.7 - 0.5. Let l = -0.3 - h. Which is the third smallest value? (a) -3 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1849*t = -1853*t + 30*h - 66, -5*h = -15 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k - 16. Let o be j(-8). What is the greatest common factor of 16 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -6, 0.3, -17\/7?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 22. Let b be a(-20). Let r(d) = 34*d**2 - 2*d + 4. Let m be r(b). What is the tens digit of (7\/14)\/((2 - 1)\/m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60384533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/3, -3, 82\/3, 0.07 in descending order.\nAnswer: 82\/3, 0.07, -2\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2282862g in kilograms?\nAnswer: 0.0002282862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5312\/68 - (-44)\/(-374). Solve -26*s - r = -104*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59e + -6?\nAnswer: -5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -4*o. Let c be 1*(o + -3)\/(-1). Let v(z) = 3*z**2 + z - 2. Let k(m) = m**2 - 3*m - 1 + 0 + 2*m. Calculate c*k(g) - v(g).\nAnswer: -2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 10:56 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15626190851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*y = -715*y - 5327 - 3542 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 7\/12*u**4 + 0*u**2 - 8*u + 0*u**3 + 0 - 9\/10*u**5. What is the third derivative of p(s) wrt s?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(875)\/sqrt(7).\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g - 529. What is the remainder when u(64) is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggggfgg. What is prob of picking 1 f and 3 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + f)*(0 - f + 0)*(4*f**3 + 0*f**3 + 0*f**3) + f - 3*f**5 - f.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6516 + 6483. What is the closest to -1 in w, -0.3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 26*o - 36. Suppose o*r = -4*q + 12, 9 = -5*r + 7*r + 5*q. Suppose 5*p - 30 = 2*p. What is the smallest common multiple of p and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36128976 to the nearest integer?\nAnswer: 6011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 831734 + -3?\nAnswer: 831731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, -4, -1, 14, 47, 104, 191?\n\"Answer: u**3 - 3*u**2 - u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1878 >= -1876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 10. Let y = 8.9 - 9. Which is the closest to y? (a) 5 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -19*j - 1149, -3*j + 0*j + 55*n - 189 = 52*n for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 991 + -865. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149\/5*i**3 - 2\/5*i**4 + 381\/5*i**2 + 77\/5 - 307\/5*i = 0.\nAnswer: -77, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/3))**(-28)\/(j**(-3\/4)\/(j\/j**(-2\/3)))*(j\/j**(-2))**(-2\/19)*j**4*j**(1\/4)\/j assuming j is positive.\nAnswer: j**(-1823\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 23*r - 91 = -20*r, -4*d + 167 = -3*r. What is the remainder when 136 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6146*z**5 - 34*z**2 + 33.\nAnswer: 368760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 0*s. Find the second derivative of -s*o**5 + 4*o + 3*o**5 + 0 + 0 wrt o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 846062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 16*o - 17. Suppose -36 = -3*v - 6*v. Suppose -341 = v*x - 409. Calculate j(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5655 + 5657. Suppose -k = 4*k - 55. Let m = -6 + k. Solve -m*n = -a*y + 9, 2*n = 7*n + 5*y - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0 (c) 0.2 (d) 3 (e) -3003086\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 514789494 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0\/u*u)**(-12\/5)\/(u\/(u*u\/(u\/u**(-3)))*u*u**6*u))\/(u**(1\/8)\/(u*u\/(u*u**(-11))*u))**(-25) assuming u is positive.\nAnswer: u**(-13411\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = 42*g - 77 - 132 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1435 = -0*h + 5*a, a = 2*h - 945. Round h to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 681, 1310, 1941, 2574, 3209?\nAnswer: 3846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 22*d + 187. Determine j(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/2 - (-5876)\/(-565) and 129\/550.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-210 - 49 - 172)*(1 - z + 7 - 5).\nAnswer: 431*z - 1293","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(-4*sqrt(10)) + 5*sqrt(960))\/((sqrt(144) + (sqrt(144)*-2 - sqrt(144))*-5)\/(-2*sqrt(24)\/sqrt(2) - sqrt(12))).\nAnswer: -237*sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -246*x**2 + 57*x + 3. Let r(z) = z**2. Let w(q) = -g(q) - 4*r(q). Is w(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 5*v + 11, 1173*v - 1162*v + 41 = -5*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Suppose 0 = m*j - 5*j + 598. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84.98689530764 - 0.4.\nAnswer: -85.38689530764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -261, -840, -1963, -3810, -6561, -10396?\n\"Answer: -30*o**3 - 2*o**2 + o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 20*l - 15*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(1\/((-16)\/12)). Suppose p*m - 1 = 3*m. List the prime factors of (m + 1 - -14) + -4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 20955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 3*r + 5, 2*j + 7*r - 4*r = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80 + 135 - 72 + 3*u)*(u + 2*u - 7*u)*(-5*u + u + 3*u) to the form k + o*u**3 + g*u**2 + b*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-5)\/(-60) + (-39)\/12*-1\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 1)*7*(-3)\/(-21). Suppose 3*w - 42 = -39. Which is the closest to -0.03? (a) 1\/3 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-124)\/14 + ((-18)\/(-72))\/(18 + (-158)\/8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b**3 - 11*b**3 - 39*b**3.\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 882 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -456639 + 315238. Let m = -141343.0054 - y. Let z = 58 - m. What is z rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*i + 772875 - 26634 + 5760 = 0. What is the greatest common divisor of 114 and i?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 2*q + 180. Let b be p(0). Suppose 5*l = -4*g + 238, -2*g - b = -5*l + l. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 59*k**8\/56 - k**5\/20 + 92*k**3\/3 - 40*k**2. What is the third derivative of g(f) wrt f?\nAnswer: 21240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7490526 minutes in nanoseconds?\nAnswer: 44943156000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:57 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -2 + 5 + (-6966)\/6106. Is 0 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 552, 791, 1040?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*i = -189 + 25. Solve 0 = 5*v + 3*g + 13, -2*v + i = -v - 4*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4342 + 30396\/7. Suppose 3*u - 3*l + 22 - 7 = 0, -5*l + 25 = 2*u. Factor -o*p**3 + 0 + 2\/7*p + u*p**2.\nAnswer: -2*p*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242 (base 8) in base 4?\nAnswer: -22202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*o - 36 + 8, -z + 35 = 5*o. Suppose 0 = -6*a + o*a - 2. Solve -4*m + 5*j + 3 = 0, -4*m - 3*j = -a*j - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o**5 + 76*o**5 + 132*o**5)*(-2 - 18 + 2).\nAnswer: -3564*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**4 + 1936*l**3 + 2*l**2 - 3 - 3863*l**3 + 1928*l**3 to s + m*l**2 + h*l + w*l**4 + k*l**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 186374921 to the nearest ten thousand.\nAnswer: 186370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -163, -302, -513, -820, -1247, -1818?\nAnswer: -2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14918883 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 6. Let z be u(-7). Let p(n) = 6 + 1 - 2 - 33*n - z. What is the units digit of p(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1677\/7 - -240. What is the nearest to -0.1 in 1\/4, -1\/4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.019*25\nAnswer: -0.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20229 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o + 5. Let f be (-2*(-178)\/(-4))\/o. What is f rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*k + 4*i + 306 = 0, -14*k - 3*i = -17*k - i + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2166048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 5*p**3\/6 + 3*p**2\/2 - p. Let q = -4769 + 4767. Let n(b) = -6*b - 4. Let y(t) = q*n(t) - 3*l(t). What is y(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28645, -31380, -34115, -36850, -39585, -42320?\nAnswer: -45055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.716696 * 5\nAnswer: -8.58348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561645.\nAnswer: 3, 5, 7, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*q = -168 + 592 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 - -95. Let q(u) = 19*u**4 - 5*u**3 - 34*u**2. Let z(g) = -g**3. Let s(h) = w*z(h) + q(h). What is the third derivative of s(x) wrt x?\nAnswer: 456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897384 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3\/15 + 482*t**2\/3 - 151828*t\/15 - 1122368\/3 = 0.\nAnswer: -26, 95, 1136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 5*v**7\/168 + 11*v**6\/3 - 183*v**5\/16 - 225*v**4\/8 + 4061*v. Let z(d) = 0. What is d?\nAnswer: -90, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 2*b**2 - b**2)*(3*b**2 - 5*b**2 - b**2).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y**2 + y - 1. Let a = 2 + -2. Let b be h(a). Let k be 3600002*b + (-1 - -3). Round k to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -102. Let l(o) = -o**3 + 22*o**2 - 5*o - 292. Let p be l(21). Let m = k + p. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**17\/p)))\/p**30)**(2\/17) assuming p is positive.\nAnswer: p**(-28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-6) + 2\/(-3). Let i = 4 + -3. What is the smallest value in t, -2\/11, i?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 12195*h**2 - 97320*h + 194480.\nAnswer: -5*(h - 2431)*(h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67164, 134333, 201508, 268689, 335876, 403069?\n\"Answer: 3*i**2 + 67160*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6345890108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -248, 5, 1 in decreasing order.\nAnswer: 5, 2, 1, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2955, 11819, 26593, 47277, 73871?\n\"Answer: 2955*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 2599 (c) -2\/241 (d) 1\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let u(f) = f**3 + f**2 + 4*f + 2. Let z(d) = d**2 + 5*d - 1. Let c be z(-5). Let k(p) = c*u(p) - 6*y(p). Calculate k(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 times 114?\nAnswer: -0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 117505*n - 8. Is z(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89248007.\nAnswer: 89248007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 1. Let w(z) = 2 + 2 - 18 + 3 + 8. What is -2*u(c) - w(c)?\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-77 + 105) - (2 - 13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j - j**2)*(-4*j + 4*j - j) - 3*j**3 - 2*j**3 + 6*j**3 + j - 3*j**3 + 5 - 5 + (-4 - j**2 + 4)*(-11 + 1289*j - 2586*j + 1285*j).\nAnswer: 11*j**3 + 11*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*(-10 + 2 - -8). What is the closest to h in -1\/3, -1, -5, 18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 1. Suppose n + 3 = -5*f, g*f + 5*n + 1 - 7 = 0. Let u(o) = -2*o**2 + o. Calculate u(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)*n**6\/n*n)\/((n*n**(-4))\/n**(-1\/6)) assuming n is positive.\nAnswer: n**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/10*(-177)\/3658*-155?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h - 2. Let u(y) = 73*y**4 + 3*y**2 + 9*y - 7. Let d(m) = -3*b(m) + u(m). Find the second derivative of d(g) wrt g.\nAnswer: 876*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 6*d**2 - 18*d - 12. Let m be p(-8). Factor 24\/13*o**2 + 2\/13*o**m + 0 + 16\/13*o + 12\/13*o**3.\nAnswer: 2*o*(o + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(44\/(-330)). Let s(o) = -19*o + 34. What are the prime factors of s(h)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-4 + -56)) + -19.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h - 23. Determine m(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2\/8 + 4629*p\/4 + 1940253\/8 = 0.\nAnswer: -197, 3283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*l + 4*l. What is the remainder when 63 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -479*y + 71052. Give k(150).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*k + 4 - 4)*(6 + 8 - 20)*(-5*k**2 + k**2 + 3*k**2) in the form w*k + v*k**3 + a*k**2 + t and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 + (-26)\/(-6). Suppose -y*r = 7 + 17. Which is smaller: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185 (base 9) to base 15.\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u = 10. Let f(t) = 4*t**2 - 1. Let k be f(-1). Let j(z) = 5*z + 4. What is the remainder when j(k) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 8000*v**4\/3 - v**3\/6 + 5*v**2\/2 + 2*v. Let j be g(5). Round j to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 45, 72, 101, 132, 165?\n\"Answer: d**2 + 22*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11675089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 - 68453*m**2\/4 + 34225*m\/2 + 34226.\nAnswer: (m - 68452)*(m - 2)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6*(-301 - 7). Suppose 152*v + 6 = r*v. Solve -v = -3*k - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2810*b**2 - 24918 wrt b?\nAnswer: 5620*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8983)\/2764*-1*4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 k, and 2 e when four letters picked without replacement from kbeebkekk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*k = 25, -n - 20 = -4*n - 5*k. Let x(a) = 2*a**2 - a. Let o be x(3). Suppose -3*i = -o*i. Solve i = -11*b + n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**5\/40 + t**4\/8 - 2*t**3\/3 - 2*t**2. Let b(q) be the first derivative of s(q). Give b(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**2. Let f(j) = -29*j**2. Let m(u) = -6*f(u) - 26*w(u). Let d(b) = -2*b**2 + b**2 - b**2. Determine d(m(o)).\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 1. Suppose -10 - 2 = -4*v, -5*y = -v + 13. Let m be y\/(-1)*161\/(-46). Let z(u) = -5*u + 3. What is m*t(c) - 2*z(c)?\nAnswer: -4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 13*x**2 + 17*x - 18. Let q be z(14). Suppose -4*c + q = -156. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35774216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tontnnnntgt. Give prob of sequence tt.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 5 + (17 - 1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 58 (b) -2 (c) 3 (d) -3 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064188717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53*f**2*k - 3*f**2*v**2 + f*k*v**2 + 3*f*v**2 + 14*f*v wrt k?\nAnswer: -53*f**2 + f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*i**2 + 5*i**2 - 4*i**2 - 4*i**2 + (0*i + 2*i + 2*i)*(-11*i - 29 + 29) + (-i - 2*i + i)*(-i + 2*i + 0*i) + (2*i - 3 + 3)*(-1 + 1 + 4*i).\nAnswer: -43*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -64*z**5\/3 + 20*z**4\/3 + 20*z**3 + 55*z**2\/6 + 5*z\/3 + 7. Solve i(r) = 0 for r.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 28 = w. Let d be 71*3\/1260 - 48\/360. Let q = d + -33\/140. Sort 2, w, -1\/2, q in descending order.\nAnswer: 2, q, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/60 + 199\/5 + -36. Find x, given that -1\/4*x**2 - 27\/4 + y*x = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.02 + 5. Let s = 1.77 - -0.25. Let d = s + f. Put 0.2, 5\/3, d in ascending order.\nAnswer: 0.2, 5\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 40584 and 40586 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r**2 + 10*r + 2*r**2 - 9*r**2. Let d be a(-10). Suppose -2*i - i + 78 = d. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 60 = -4*a - 4*v, 2*v + 20 = 3*a. Suppose -25*s + 36*s = 22. Solve -j = 2*b - 1 + a, 3 = -3*j + s*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.083 * -295.8.\nAnswer: 320.3514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4527732\/7 or -646818?\nAnswer: -4527732\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.285 - 0.134. Let m = -0.479 - o. Let p = m - -0.63000053. Round p to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45231 + 1.3.\nAnswer: 45232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (17 - 26 - -28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 1fd4?\nAnswer: -1fdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82747?\nAnswer: 7, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14678032 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -c7 (base 13) to base 5\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1210, 4833, 10870, 19321, 30186, 43465?\n\"Answer: 1207*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**3*z**3 + 190*y**3*z + 4*z**4 + 25*z**3 wrt z.\nAnswer: 6*y**3*z + 48*z**2 + 150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + j - j. Suppose 4*o - 2*o = 28. Let g(a) = 10*a - 7. Let z(l) = -3*l + 2. Let c(y) = o*z(y) + 4*g(y). What is c(d(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 135650596 and -6.\nAnswer: 135650590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*2*((-3)\/(-6) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55897, -111791, -167685, -223579, -279473, -335367?\nAnswer: -391261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 7, c: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255927 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 141563 = 2*p + 3*p, 2*n - 5*p - 70819 = 0. What is the ten thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/40)\/(2355\/(-7850))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705133*c - 2115341*c + 705136*c + 705041*c.\nAnswer: -31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19384\/27 + 718. Which is greater: o or -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -135588000 to the nearest 1000000.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1*(3 + 1). Solve z*y - 10 = 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 25, b - 368 - 1194 = 3*h. Calculate the remainder when b is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-187)\/153 - (-1569)\/(-141)\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 335*o**2. Let v(g) = 147*g. Give d(v(u)).\nAnswer: 7239015*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 9 = 2*y, -y = -3*y - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120 or -2978\/25?\nAnswer: -2978\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, b: 1, p: 3, c: 2, a: 2}. Give prob of sequence azcb.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22556495 is divided by 1611177.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815662813.\nAnswer: 7, 241, 483499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2) + 12 + 3 + -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/439622190 and 79\/126.\nAnswer: 439622190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**5 - 5*b**5 - 5*b**5 + (-4*b - 2*b + 4*b)*(-5*b**2 + 5*b**2 - 6*b**4).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1510*g = -1518*g + 64. Let x = 0.2 + -0.3. Which is the closest to x? (a) -4 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j. Let q(h) = -h. Let k(o) = -f(o) + 2*q(o). Let u(s) = -5*s + 351 - 351. Determine u(k(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from {l: 3, j: 2, v: 8, u: 1, i: 1, d: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -743314630 rounded to the nearest one hundred thousand?\nAnswer: -743300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrrgjjrkgqq. Give prob of picking 2 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 62 - 7*p)*(3*p - 2*p + 4*p)*(-p + 7*p - 4*p).\nAnswer: -70*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = -5*u + 1, -2043*l = -2048*l - 4*u + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**4 - a**2 - 60 - 633*a + 62 + 3*a**3 - 4*a**3 + 4*a**4 to p*a**4 + m*a**2 + f*a**3 + r*a + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 6*x**2 - 62*x + 319. Give y(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**3 + 17*j - 17. Let c be q(1). Let x be (32\/(-18) + 2)*-23. Which is greater: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*(-99)\/110*1\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 3*w - 1 = -4*r, 3*r - 4*w = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 3, y: 1, u: 1, t: 2, k: 4}. What is prob of sequence tru?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.037 rounded to two dps?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r + 14. Let p(n) = n + 2. Let w(s) = 2*o(s) - 14*p(s). Let f(a) = 2*a**2 - 29*a. Determine f(w(u)).\nAnswer: 8*u**2 - 58*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 23*q**2 + 16*q + 47. Suppose 0 = 26*h + 135 + 177. Let i be t(h). Let o(v) = -4*v - 4. Let y(z) = 1. Give i*o(d) - 5*y(d).\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1879904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 452210 + -316530. Round q to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(-3)*t\/(t*(t\/t**(-3))\/t)*t*t*t*t**(-7) assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13484 - 12966 = -37*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**4\/4 - 1226*i**2 + 2*i + 2. Let t(m) = 2*m + 7. Let s(n) = -n - 4. Let f(v) = 7*s(v) + 4*t(v). Calculate x(f(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1883\/(-5380)*(-60)\/(-112).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, f: 4, h: 1, r: 3, n: 2}. Give prob of picking 1 r and 2 n.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (53\/159)\/(1\/156). Calculate the highest common divisor of w and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*12.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 137225000 to the nearest 1000000.\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:42 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8723 and 66352.\nAnswer: 4047472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2097.\nAnswer: 1\/2097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 70 - 62 + (-1 + 4 - 1)*(-3 - 4 + 6))*(2*u**5 - 3*u**3 + 3*u**3) - 16*u**5 - 11*u**3 + 11*u**3.\nAnswer: -60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m + 15. Let o(u) = -11*u - 23. Let c(k) = -5*o(k) - 8*p(k). Let l be c(-10). Suppose -v - 7 - 54 = -l*i, -i + v = -9. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 - 83157727*j + 83157727*j.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07506 + 24.00894. Let k = n - -0.116. Let h = -19.08 + k. Round h to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-3 - 2*-2). Let g = d - -41. Let c = g - 27. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 11. Suppose 6*j = 4*i + 2*j - 4, 4*i + 5*j = 22. Let b(p) = p**2 - 4. Let t be b(i). Let s(z) = -5*z + 2*z + t*z. What is s(m(k))?\nAnswer: -2*k + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.036 - 0.005. Let o = g - -0.07. Let w = -12.971 - o. Which is smaller: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756) - (sqrt(756) + sqrt(756)*-1 - sqrt(756)))\/((sqrt(300) - (sqrt(300)*-2 + sqrt(300) + sqrt(300))) + sqrt(300)))**2.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 779334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 700 + -700.0000559. Round b to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 + 3. Let u(v) = v**2 + 1. Suppose 9*i - 41 = -32. Let h(n) = i*b(n) + 2*u(n). What is h(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5871274 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 0, 20, 2\/7, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1.9. Let z = -13 + 11. Which is the nearest to d? (a) -0.4 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11185d (base 16) to base 13.\nAnswer: -302c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + c12?\nAnswer: c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 14 = 5*l, 3*c - 6*c - 10 = l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/425854 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/6)\/((-1)\/2). Let l = 2 + i. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21823980 and 8178?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(6\/36)\/((-6)\/12). Let t(q) = q**2 + 14*q + 20. Let s be t(-12). Suppose 7 = 2*d + 3. Which is the nearest to d? (a) s (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 2198 = 86*i - 39*i. Which is greater: -299 or i?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230488 or 230482?\nAnswer: 230482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1.15, -3, 1 in descending order.\nAnswer: 1.15, 1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24564119?\nAnswer: 59, 223, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 45 = 5*g - 4*x, -4*g = 2*x - 10. Suppose j = -5*p + 2*j + 25, j - 15 = -g*p. Solve p*i + 3*w = w + 2, 2*i = w + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 0*d**4 + 2*d**4 + (-3*d + 29 - 29)*(0 - 2*d**3 + 0) + 0*d**4 + 8*d**4 + 5*d**4.\nAnswer: 21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 4*w - 61. Let o(d) = 3*d - 4. Let t(q) = 8*o(q) - x(q). Determine t(22).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6345 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -2*k**3\/3 - 11*k**2\/2 + 33*k. Calculate the remainder when 141 is divided by s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 235 - 237. Put r, 3, -1 in ascending order.\nAnswer: r, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(324) + sqrt(7) + -5*sqrt(28)\/sqrt(4) - (1 + sqrt(252)*2 + -4))*-3)**2.\nAnswer: -855*sqrt(7) + 63499\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 0*w + 3*w - 2*w. Let q(f) = -6*f**2. Give q(m(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81306488 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 7*u - 14. Let r be d(-6). Let y be (-2)\/3*(-4)\/(r\/(-6)). Let l = y - 1. Solve 2*t + l = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 3. Let f be o(4). Let l(s) = -s**2 - 8*s + 12. Let q be l(f). Suppose -8\/5*z**2 + 0 + 0*z + 2*z**4 - 16\/5*z**q = 0. Calculate z.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1129\/70 + 81\/5. Sort 2\/5, 0.5, h, -3\/4 in increasing order.\nAnswer: -3\/4, h, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22, 2 in ascending order.\nAnswer: -22, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21471411 at most 21471412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 4*c**2 + 1. Let i be h(-3). Suppose 0 = -4*r - i - 33. Let o = 40 - r. Does 31 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67300 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v - 1\/2*v**2 - 2 - 1\/3*v**3. Let t = -2355 + 2354. Let z(h) = 5*h**2 + 7*h + 5. Calculate t*z(i) - 6*l(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 3 + -3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 17*x**2 + 17*x + 15. Give i(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/116)\/(-63*(-32)\/(-2688)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113.9 + 104. Let r = n + 4.7. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41628361.064 + 18\nAnswer: 41628379.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3792 is divided by 1737.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 + 0.32. What is the second biggest value in r, -0.5, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 840.04 to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39768 is divided by 234.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 37 + 32 + 0*k**3 + 8*k**3 - 6*k**3.\nAnswer: -2*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1443010 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5226, -10456, -15686?\nAnswer: -20916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 2, x: 1, h: 4, k: 4, a: 3}. Give prob of picking 1 h and 1 k.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 5, i: 3, o: 3}. What is prob of picking 3 i?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43869256.\nAnswer: 2, 5483657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u*u**(3\/26)))))**(2\/15))**(2\/9) assuming u is positive.\nAnswer: u**(-2\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479368.\nAnswer: 2, 59921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 3:35 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {p: 1, u: 3, s: 5, z: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*d = -50, 0*d = f + 4*d - 7. Let i = -11 + f. What is the least common multiple of i and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*v + 1525*v - 91000 = -143*v for v.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9183 + 9388 - (66 + 1)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 18*p**3 - 9*p**2 - 12*p. Let b(j) = j**3 - j**2 - j. Let z(c) = -15*b(c) + l(c). Factor z(y).\nAnswer: 3*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 0 + 1 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 0.01 (b) 7151 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 71. Let m = -11 + a. Let p = -16 + m. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 20468006?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g**2 + 11*g**2 - 27 + 2 + (-9*g - 3*g + g)*(0*g - 4*g + 2*g) to the form j + b*g + f*g**2 and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/28)\/a*a**(3\/11) assuming a is positive.\nAnswer: a**(-191\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 1\/9, -288596, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 5, 21, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31192781 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 2*a**2 + 5*a - 3. Let w be ((-7)\/((-35)\/2))\/(3\/15). Let r(c) = 5*c**3 - 9*c**2 + 21*c - 13. Give w*r(d) - 9*o(d).\nAnswer: d**3 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -75c8d3?\nAnswer: 75c8d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4257 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -13035846 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4\/3)*u**(-1\/11))**(-1\/23))**(-1\/53) assuming u is positive.\nAnswer: u**(-14\/40227)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 0 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.518415 rounded to three decimal places?\nAnswer: -0.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 + 159 + (4 - 8) + 23?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:16 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 557137983 to the power of 1\/3, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - 13 - -4) + 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v - 4*f = -45, -25 = -5*f. Suppose -5 = -c - 3*c - u, -v*u - 13 = c. Calculate the remainder when 2 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by (-12 - -19) + 0 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -165. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4 = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 325229 = 325233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -37645 (base 10) to base 11\nAnswer: -26313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 416*g. Let f(t) = 9*t. Give f(y(b)).\nAnswer: 3744*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 16116719 = 15*c + 120*c. Is c 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) 0.05 (b) -2\/5 (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 4*u**2 - u**2)*(-3*u**3 + 0*u**3 + 4*u**3) - u**5 - 4*u**5 - 3*u**5.\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10304 divided by -28?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmammmtmmawa?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + 1*sqrt(190)*4)\/(sqrt(60)\/(sqrt(54)\/sqrt(9))))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7391 + -14569. Let b = n + 64670\/9. What is the common denominator of b and -64\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 plus -829?\nAnswer: -831.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 167556.\nAnswer: 502668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4017*q = 4019*q - 4*s - 22, 51 = -3*q - 6*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7389 + -7392. Which is the closest to 467? (a) 0 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 + -16877500173595\nAnswer: -16877500173591.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = -2*z, 4*z = 2*h. Suppose 5*v + 0*w - 3*w - 280 = h, v = 5*w + 34. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, k: 1, l: 2, e: 1, x: 2}. What is prob of picking 1 x, 1 e, 1 l, and 1 j?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 2788 - 527 = 0. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11484 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 535 divide 11610034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/5 and 45\/887?\nAnswer: 4435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/2*1*-4 + -4. Let j(b) = b. Let v(k) be the second derivative of k**2 + 3*k + 0 + 1\/6*k**3. Determine q*j(x) - v(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q + 25. Suppose -m = -0*m - 2*d - 139, 0 = q*d + 5. Suppose -5*g = -0*g - 3*r - m, -3*g + r + 79 = 0. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + -1)*(-1)\/2. Let k = 16 + -13. Suppose -3*o = -5*o - k*j + 10, 4*o + 3*j - 20 = 0. Solve -g*s - 1 = o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w*w**7)\/((w\/(w\/w**(-17)))\/(w*(w*w**1)\/w)) assuming w is positive.\nAnswer: w**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -16*w + 4. Determine s(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -u + 29921, 2*i - 99*u + 97*u - 19942 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*-1*((-440)\/(-16))\/11.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*20\/350 + 54\/10. Let w = 8\/65 - -1\/13. What is the closest to w in -0.3, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(0 + sqrt(405)) + (-4*-1*sqrt(405) - sqrt(405)*2*-3))**2.\nAnswer: 253125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 70169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171.1186 + 1.1886. Let f = k - -169. Round f to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {n: 1, s: 3, o: 6, m: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*h**2 + 22*h**2 + 18*h**2 - 55*h**2 as b + t*h**2 + x*h and give t.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004189 to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31811 + -2?\nAnswer: -31813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24867?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 24*g + 41. Let b be a(-17). What is the greatest common divisor of b and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 463655657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -793370.66 rounded to the nearest one thousand?\nAnswer: -793000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -241 in 5\/2, 3\/2, 28, 2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, 4, 31, 68?\n\"Answer: 5*f**2 + 2*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5385406 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: What is the closest to 32 in 0.1, -3, -21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3750*s + 3747*s = 46, w = -s - 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6202, 1\/2, 2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*u + 16, 0 = -3*r - 4*u + 10 + 6. Let k = 9 - 7. Suppose -k*g + 446 = -5*b, -2*g - r*b = -563 + 117. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22489167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12075 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4) + (-3)\/4. Suppose u = 5*r - 41, r + 0*r + 2*u - 17 = h. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9298760?\nAnswer: 2, 5, 31, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 11733?\nAnswer: -1\/3911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 312.9 - 313.9. Let h be 2 - (-1 + 0 + -3). Let s be (-3)\/(-8)*4\/h. Which is the closest to y? (a) -3 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 233*z**6\/120 - z**5\/12 - z**4\/24 + 217*z**2. Find the third derivative of x(u) wrt u.\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993103349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 220233300 to the nearest 100000.\nAnswer: 220200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 5*f**3 + 3*f**3)*(-2 + 8 + 0)*(9 - 23 - 28).\nAnswer: 252*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 8. Let p be 2 + u + 0 + 4. Calculate the common denominator of -17\/4 and p\/4*252\/(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 12. Let g be s(9). Suppose -g*f + 39 = -3*f. What is the greatest common divisor of f and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94537?\nAnswer: 17, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6034 (base 13) to base 2\nAnswer: 11001110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = m, 5*x - 5*m - 5 = 45. Suppose -4*k + 29 = x. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.7 - 17.7. Let f = -9.8 - -11.02. Let n = -0.22 + f. Which is bigger: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20384093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 281*f + 4 + 282*f - 537*f.\nAnswer: 26*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**4\/12 - x**3 + 3*x**2\/2 + 1536*x. Suppose 2*i = 4*y + 18, -6*y = -2*y - 3*i + 17. Calculate v(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2288580 = -2*z + 39*z. List the prime factors of z.\nAnswer: 2, 3, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699.7788 grams in micrograms?\nAnswer: 699778800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1384414 to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.6 or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/((-3)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1461.554 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145234 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8202334 decades?\nAnswer: 98.428008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 162, 462, 968, 1734, 2814, 4262?\nAnswer: 6132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-2)*w)*w))\/(w*w**(-1\/2)))**2 assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = d - 0*l + 19, -3*l + 3 = -2*d. Suppose -6*a = d*a - 36. Solve 16 = 4*n - u, 0 = -n - a*u + 1 + 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -39*o. Let r(z) = 5*z. Determine -51*r(x) - 6*u(x).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1378, -3, -8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 + 2762*l**2 - 483*l**2 + 1705*l**2 + 35 + 23 wrt l.\nAnswer: 7968*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -615 + 628. Let r = 40 + -11. Let n = r - j. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -2\/5 (c) -0.9 (d) 24443 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1340 and 5896?\nAnswer: 29480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48056, -92095, -136144, -180209, -224296, -268411?\nAnswer: -312560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/10)\/(10\/25)*-726?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 7:50 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 0.05 (c) 0.4 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.478 minus -6.3?\nAnswer: 6.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + v = -1 - 1, 5*y + 5 = -5*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**5\/330 - f**4\/66 + 35*f**2\/2 + 34. Let u(m) be the second derivative of t(m). Let u(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127368176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-8*42\/784?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14261 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 547408751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756*s + 33020 = -457*s + 971*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2905*-0.29.\nAnswer: -842.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2952 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 a factor of 25656312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 4*g**2 - g - 5. Let q be i(-4). Let l = 0.3 + -2.3. What is the nearest to q in l, 1\/4, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*l + 249*l - 6 = 0. Put l, -5, 65 in descending order.\nAnswer: 65, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1815*j**3*v**4 + 2*j**3*v**2 - 15709*j**3 + 20*j**2*v**2 + 3*j*v - 4*j - 68781*v**4 + v wrt v.\nAnswer: 43560*j**3*v - 1650744*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 413 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. What are the prime factors of (-12)\/(-18) + 43\/x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 + -0.2. Let h = 1.2004 - d. What is h rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*p - 19448, 3*q + 22 - 10 = 0. Differentiate -p*v**3 - 215 + 9730*v**3 - 196*v**4 with respect to v.\nAnswer: -784*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10795, -10821, -10865, -10927, -11007?\nAnswer: -11105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0) + (0 - 5). Let g be (-3)\/(-2) + v\/(-10). Let r(b) = -b**2 + 0*b**2 - 3*b**g - b**2. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -797?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 861*w = -865*w + 380, -4*w + 200 = 2*k. Calculate the highest common divisor of k and 3930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**4 + y**4 + 3*y**4 + (8*y**3 + 10*y**3 + 4*y**3)*(-9 + 9 - 4*y).\nAnswer: -89*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 305*g - 484 wrt g?\nAnswer: 305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -3271, -8816, -16965, -27718, -41075, -57036?\nAnswer: -75601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjbjjj. Give prob of picking 1 j and 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2353228ml?\nAnswer: 0.0002353228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 - 8*h - 10. Let y be z(3). Let r be -8 + 336\/33 - y. Which is the third smallest value? (a) 2 (b) -0.2 (c) 1.4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u**2 + 338*u + 9743. Let f(a) = -57*a**2 - 1689*a - 48714. Let t(w) = -21*c(w) - 4*f(w). Let t(q) = 0. Calculate q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076840107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1195 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3)*(-4 + -13). Let d = -15 + t. Is ((-696)\/36)\/(d\/(-39)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150959, -301924, -452897, -603878, -754867?\nAnswer: -905864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpgp when four letters picked without replacement from cccgepgc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*f + 4*v + 604, -5*f - 4*v + 728 = 0. Let o(g) = 78*g**2 - f*g**2 + 1 + 6*g + 74*g**2. What is the remainder when 131 is divided by o(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 8. Suppose 0*o = -z*o - 4. Let p be (-7986)\/1617 + (-1 - -6). Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(0 - 8\/5). Let z(p) = -5*p - 15. Let o(g) = g + 3. Let j(a) = 11*o(a) + 2*z(a). Is j(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 - 50*u + 855 = 0. What is u?\nAnswer: -19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12463 and 721?\nAnswer: 87241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -520584 (base 13) in base 2?\nAnswer: -111010011011010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0493 - -10.9507. Let y = -87.5 + 87. What is the biggest value in -11, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 - 91003082*c\/7 + 13000440.\nAnswer: 2*(c - 45501540)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -802.\nAnswer: -4\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 29 = -3*q. Let w = -30 + q. Is w at most as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - -12 - (10 - 0). Let j(m) be the first derivative of -2\/5*m + 1 - 2\/5*m**3 - 1\/10*m**b - 3\/5*m**2. Solve j(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985695 (base 11) in base 13?\nAnswer: 431606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*c**3 - 12*c**3 + 53166*c**2 - 1111*c + 1 - 53168*c**2 to n*c**2 + i*c**3 + s + t*c and give t.\nAnswer: -1111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8330505 hours to minutes.\nAnswer: 49.98303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68240 by 17060.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2100741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 + 98.4. Let y be 0 - (-3)\/3*-5. What is the nearest to -2\/7 in 1\/3, y, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768599467 to the power of 1\/3, to the nearest integer?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 45 + 473 = 0. Suppose -10*l + 393 = -r. Calculate the lowest common multiple of l and 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71 in 0.3, -2945, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -14. Suppose d*q = q + 30. What is the highest common divisor of 80 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*((-27)\/(-567)*-1)\/1\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(847)*4)**2 + (-4*(sqrt(49) + sqrt(196)\/sqrt(4)))\/(1*sqrt(63)).\nAnswer: -8*sqrt(7)\/3 + 54208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 - 135.1. Let x = -45.9 + g. Let u = 58.3 + x. What is u rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/19 - 1352*x**2\/19 + 3410*x + 66144\/19 = 0. What is x?\nAnswer: -1, 53, 624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23031264 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*3\/(-6)*-78. Let n = -43 + l. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*h - 307 + 594 - 291.\nAnswer: -128*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 0*z + 0*z**2 + 4*z**2 - 2*z. Let d(q) = 3*q**2 - 6*q**2 + 2*q**2. Let s(w) = b(w) + 6*d(w). Find y such that s(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2722, -5440, -8158, -10876, -13594?\nAnswer: -16312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257 plus 7089?\nAnswer: 8346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i + 10*i - 44 = 72. Put 45, -4, i, -18, -2 in descending order.\nAnswer: 45, i, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 50. Suppose q + 4*q = -g - 148, -q - j = 3*g. Let r = q + 40. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 32. Calculate the common denominator of 9\/2 and 27\/h*(7\/(-12))\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = -4*n + 200, 5*n - 2*m - 265 = 0. What is the remainder when 1263 is divided by n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 514 - -75. List the prime factors of w.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2375406.399997 - -2375436.4. Let h = 29.98 + 0.02. Let p = h - w. What is p rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.9771us in hours?\nAnswer: 0.00000008110475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 480 - 475. Suppose -2*q + r = 181, 0 = o*q + 5*r - 140 + 555. Which is smaller: q or -86?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*a + 3*o, -76*o = -5*a - 79*o. Solve 4*g - 2*y = -4, -3*g - y - 3 = -a*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 1520 - 1460 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.96 - -115.96. Let l = 114.00000094 - b. What is l rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-26))\/((-40)\/130)*82.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + t + 120. Let h = -567 + 582. Calculate the highest common factor of t and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92232514 to the power of 1\/2, to the nearest integer?\nAnswer: 9604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 9 + -10 + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88782049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (3 + 3 + -10 - 168). Let c = 886\/5 - i. Factor -2\/5*p**2 + c*p - 162\/5.\nAnswer: -2*(p - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 18*q + 17. Let d be l(-17). Let k(w) = w**3 - w + 15. Calculate the remainder when 72 is divided by k(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3559 and 10.\nAnswer: 35590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1003*w - 649*w**2 - 499*w - 502*w + 24*w**2 to m*w**2 + t + k*w and give m.\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8)*-3)\/(-3)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 545. Let i = m - 1252. What is i rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 259340195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (239155\/(-5))\/7 + 14\/(1 - 3). Round c to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-306)*-9*2*-1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s - 3*s + 3 + 2 + 0*s. Let k be f(-5). Suppose 2*n - n - 21 = k. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3858769?\nAnswer: 29, 271, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 157033 = -2*j, 112*w - 471106 = 109*w - 5*j. What is w rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 28*f**2 + 255*f + 225. Let g(j) = j**3 + j**2. Let a(p) = -3*g(p) - s(p). Solve a(q) = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2460126 and 212796.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - v + 6 = 5*d, 2*d - 5*v = -15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. List the prime factors of 8*1 + 1 - w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 10*c + 13. Let h(o) = 3*o. Let j be h(3). Let g be f(j). Let l(n) = -n**2 - 5*n - 1. Let d be l(-4). What is the nearest to -1 in g, d, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28215 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14.962. What is w rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46414*x**3 - 92919*x**3 + 46446*x**3 - 2.\nAnswer: -59*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 40 + 0)*(36 - 1580*g**3 + 1581*g**3 + 5) as d*g + q + s*g**2 + v*g**3 and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 327 + -323. Solve 0 = -11*o + m*o - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 - -147. Let l = -3 - -8. What is the smallest common multiple of l and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 5, -103, -1\/4, -2\/17, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*u + 2668 + 410, 12332 = 8*z + 2*u. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1805 - 1800. Put -1\/3, 1.1, q, 2\/9 in descending order.\nAnswer: q, 1.1, 2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1 (c) 3\/22 (d) 36.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twennnhnxxnhx. What is prob of picking 1 x, 2 w, and 1 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 731, 738, 751, 770, 795?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(-22)\/11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = n + 7 + 3, 5*l = -n + 25. Let j = 6 - n. What is the remainder when 22 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -225.6 in 0, 7\/4, 0.2, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -36. Let j = o - -60. Suppose 0 = 3*i + 4*b - j, 5*b - 15 - 10 = -3*i. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/2, -14\/5, 13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4277)\/(-19) + 21\/((-1995)\/10) is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o + 25*o + 106*o = 166 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 4*w**2 - 4*w - 16. Let d be v(5). What is the remainder when (-279)\/(-62)*1*(-1 - d) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 3*d - 17, -20 = 5*v - 2*d. Let k(r) = -37*r + 9. Calculate the remainder when k(v) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2192, -4397, -6616, -8855, -11120, -13417?\nAnswer: -15752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -63\/92, 2\/9, -14, -2\/13, 41.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 316*s - 12. Let x be v(1). Let y = x + -302. Calculate the remainder when 49 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/8 + 404\/707*(525\/(-224) + 3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33990 by 11330.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/26, -14\/3, -5, -5\/964, 3 in decreasing order.\nAnswer: 3, 3\/26, -5\/964, -14\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/(-135) - 48\/36?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d - -366?\nAnswer: 3b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 6:33 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8282086 and 157\/351930?\nAnswer: 124231290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) 1 (c) 23 (d) 0 (e) 229\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1\/9 (b) -1 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*t**2\/7 - 576*t\/7 - 512\/7.\nAnswer: -2*(9*t + 16)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -405*j + 28*j + 2*j - 65*j - 161*j + (-3 + 4 + 1)*(-9*j + 28 - 28).\nAnswer: -619*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 799061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f\/f**6)\/f))\/f)\/f)**(-1\/21)\/(f**(9\/4)*(f\/(f\/f**13))\/f) assuming f is positive.\nAnswer: f**(-1217\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -723 + 722.6. Let y = 0.1 - 0.3. Which is the nearest to y? (a) 5 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -1\/3*l**4 + 39*l + 0*l**2 + 1\/6*l**3 + 0. Give u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 8*n + 50. Determine t(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442827 is divided by 621?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16970 * -0.07\nAnswer: -1187.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 125, 126, 129, 134?\n\"Answer: z**2 - 2*z + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**5 - 235*o**4 + 760*o**3 + 440*o**2 - 2960*o + 2000 = 0.\nAnswer: -50, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -29. Let h be (28\/(-35))\/(2\/i). Let l be (h + -1)\/((-6)\/18). Solve -2*f + 3 = -6*f - v, 2*f - l = 5*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**2 - 6*w - 14. Let h(p) = -5*p**2 - 5*p - 13. Let t(d) = 4*g(d) - 5*h(d). Suppose n = -2*n. What is the units digit of t(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 11. Let y be o(5). Let j = 8 + y. Suppose q + 5 = 6*q, 2*v + j*q - 98 = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z - 16. Let m be u(-6). Let l(w) = 4*w**2 - 8*w + 18. Let a be l(m). Suppose 0 = -6*c - 30 + a. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-5)\/1*(-4)\/20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 150.1161 and 0.2?\nAnswer: 149.9161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((306\/4)\/(-17)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 1089 = 59*k. Calculate the remainder when k is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i + 29 = 5*z, -z = -5*i - 17. Suppose -4*o + 1020000 = -z*o. What is o rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let r(u) be the third derivative of u**7\/420 + u**4\/6 - 2*u**2. Let j(b) be the second derivative of r(b). What is j(m(f))?\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2144480 and 16.\nAnswer: 2144480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1681, -3291, -4791, -6145, -7317, -8271?\nAnswer: -8971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 5 (b) -2.2 (c) -0.4 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 23646?\nAnswer: -2364.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56236545 is divided by 673?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021 (base 4) in base 12?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*v**3 + 325*v**3 + 338*v**3 - 1628*v**3 - 1 + 357*v**3 + 319*v**3.\nAnswer: 69*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 19 - (-3 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**7\/70 + q**6\/40 + 13*q**4\/12 - 3*q**2 + 9. What is the second derivative of h(y) wrt y?\nAnswer: -36*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1525040014 (base 6) in base 9?\nAnswer: -40236111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*o - 13*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n - 3 + 44 - 47 + 6.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-1)*(-36 - (-1136)\/32)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -50. Is -3 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 8)\/((-21)\/(-56)*-88).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:22 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*q - 12, -7*u + 6*u - 2*q = -3. Sort u, 4, -3, -5, -2 in increasing order.\nAnswer: -5, -3, -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 3*k - 2. Let h be l(4). Let c = 2 - 0. What is the derivative of -h*d**2 - 5*d**4 - 5 + 2*d**c wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074 minus 5.179?\nAnswer: -5.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15264130 (base 7) to base 10.\nAnswer: 1461250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/15)\/((-138)\/115).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrmrrrrwrmr. Give prob of picking 1 w and 2 m.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 12. Let v be b(7). Let z(h) = h**3 + 21*h**2 + 38*h + 16. Let j be z(v). Is 12 a factor of 588\/j - 6\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7290 = 533*f + 277*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 - 196 = -3*h - 4*o, 3*h + o = 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 32008*w\/9 - 41000482\/3.\nAnswer: -2*(w - 9593)*(w - 6411)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 z when four letters picked without replacement from jqaqqqqarajqarzrjq?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -24 (c) 210 (d) 3\/2 (e) 2\/1207\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002733315 rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiijjjjj. Give prob of sequence ji.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) - 9\/27. Let b(j) = -9*j**3 - 2*j**2 - 12. Let t(a) = -4*a**3 - a**2 - 6. Let m(f) = -3*b(f) + 7*t(f). Calculate m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 7, r: 3}. Give prob of picking 2 e and 2 r.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(1\/23)*d**16*(d\/(d**(1\/6)\/d*d))\/(d\/(d**(-20\/11)\/d)) assuming d is positive.\nAnswer: d**(21341\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lms when three letters picked without replacement from {s: 2, z: 1, m: 7, l: 10}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 1\/7 (c) 0.044 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*p - 3*x - 172, -3*p + 2*x = 109. Let s be ((-6)\/(-28))\/(p\/52). Which is the closest to s? (a) 3 (b) 1\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 1532\/48) + (-1)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7567.127 litres?\nAnswer: 7567127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/17 in 8\/7, 3\/13, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + -3 - -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32212 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 51 - (30 + 2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -922 divided by -2.\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 56, 82, 106, 122?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 93*m - 24. Let j be z(-9). Let h = j + 1433. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let r be (-5 + 2)*(-5)\/t. Suppose 7 - 2 = 5*q. Solve 0 = -4*u - 12, 0 = -3*l - r*u + q - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/15 - (-3 - (-12)\/20). Suppose -g = h*b + 9, 5*g - 2*g + 2*b = -15. Let c(x) = x**2 - 4. What is c(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77623 + -2?\nAnswer: 77621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/8 + 37*q**2\/8 - 50*q + 168 = 0.\nAnswer: 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -436, -4, 1587 in descending order.\nAnswer: 1587, -4, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63084 and 2412?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1609699902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.078 - 5.702. Let l = 0.28 + u. Let f = l + 5. What is the closest to 1 in -3, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -141, -4, -0.04, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4, -5 in ascending order.\nAnswer: -5, -4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158932*m**2 + 1565855*m wrt m.\nAnswer: 317864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -10*s + 486. Let r be 1\/((-4)\/(1168\/(-4))). Is s bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257760 (base 8) in base 11?\nAnswer: -61766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 23882481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 296516349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 46 = 4*w + 69, 5*w - 5*j + 140 = 0. Let u = -8 - w. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.75535 litres in millilitres?\nAnswer: 9755.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1934*q + 1109098*q**2 - 1122960*q**2 + 4122*q wrt q.\nAnswer: -27724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 6*l + 3*l)*(-3 - 3*l + 3) + 0*l + l - 2 + 2*l**2 + l.\nAnswer: 5*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -6. Let z = 6.6 - -0.4. Let v = z - 3. What is the third biggest value in f, v, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*(-8 - -2). Let t = 8 + x. Suppose -5*v - z = -5*z - 23, 3*z = t*v - 19. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 + 98*g - g**3 + 21*g - g**3 + 0*g**2 + 36*g to u + l*g**2 + h*g**3 + z*g and give z.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 0*t + 6 - 4*t**2 + 0*t as y*t + b*t**2 + j and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000022001 (base 3) in base 4?\nAnswer: 10312330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*l + 2009 + 12502 = -113*l - 433*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 15*o**3 + 1370*o**2 + 12445*o - 8910 = 0?\nAnswer: -81, -11, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7594 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddwddwdddddddddddw. Give prob of picking 2 w.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/69919635 and 38\/11.\nAnswer: 769115985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 11*u - 22. Suppose 0 = -u*w + 3*q - 12, 5*q = 2*w + 7 + 13. Is -2\/31 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.1 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/4*1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -3\/35*a**5 + 0*a**3 + 0*a**2 + 2\/105*a**6 + 2\/21*a**4 + 15 - 2*a. Determine x, given that s(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1074 + -62\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 5*f + 8. Let m be n(-6). Let y(x) be the first derivative of 3*x - 2*x**2 - 3*x + 2*x - m. Let a(c) = -5*c + 3. Determine -2*a(z) + 3*y(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 r, and 1 b when four letters picked without replacement from wbrivvrs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(1 + 2*q - 1) - 40*q - 105 + 219 - 112.\nAnswer: -36*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 - -2*(-2 + 3). Let t = z - -13. Suppose -6*o + 16 = -t*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g**4 + g**4 + 2*g**4)*(-3 + 5 - 4) + (0 + 5 - 1)*(-4*g**4 - 2*g**4 + 3*g**4))*(2*g + g + g).\nAnswer: -64*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11094981?\nAnswer: 3, 3698327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y - 3*n = -528, 0 = -4*y - 4*n + 416. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/5, -6, -59\/3 in increasing order.\nAnswer: -59\/3, -6, -3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0088 - -36?\nAnswer: 36.0088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -4*g - 126. Let i = g + 82. Calculate the highest common factor of 72 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**3 + 0*g + 0*g + (0*g**3 + 4*g**3 + 2*g**3)*(2 - 3 + 0) + (6*g - 6*g - 7*g)*(3*g**2 + 0*g**2 - g**2).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.5. Let b = -0.18 + 0.2. Let h = 0.98 + b. What is the closest to l in 0.3, -2, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m + 3. Let f be y(0). Is 9 a factor of -18*(f - 21\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -1 - (-3)\/(-1). Suppose 60 = -15*l - 90. Let z be (-40)\/(-104)*(-4)\/l. Which is the closest to 0? (a) -2\/5 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*z + 1)*(4*z + 3*z - 4*z + 1 - z - 1 - z - 3 + 3 + (z + 0*z + z)*(-3 - 3 + 4) + 2 - 2 - 2*z + 3 - 2*z - 3 + 3*z - 3 + 3)*(-1 - 2 + 4).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (-8 - 17)*(1 + -2*(-35)\/(-50)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141712 - 69412. What is b rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)*1\/(-2). Let s = -4 + 1. Is b at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*v - h, -4*v = -h - 2038 + 2031 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 z, and 1 v when three letters picked without replacement from zqwozzvzzvvffzf?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(((w*w*w\/w**(-1))\/w)\/w*w*w)\/w)**(-12\/17))**(2\/15) assuming w is positive.\nAnswer: w**(-32\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 - 8*s - 3. Let l be b(3). Solve -w = -l*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = 3*r. Let l(w) = w**3 + 36*w**2 - 169*w - 336. Let h be l(-40). Which is the closest to 0? (a) r (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m - 18 = -14*m. Let f(b) = 4*b**3 - 4*b - 10. Let x(q) = 3*q**3 - q**2 - 5*q - 10. Let a(z) = 2*f(z) - 3*x(z). What is the tens digit of a(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8954361 times 0.5?\nAnswer: -4477180.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1475722l in millilitres?\nAnswer: 147.5722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, -144, -12 in decreasing order.\nAnswer: 13, 2, -12, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 29 + 2\/11*q**3 - 8\/11*q + 2\/11*q**4 + 2\/55*q**5 - 4\/11*q**2. Determine f, given that m(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (3 + 3 - 1). Suppose -5*b - c + 54 = 0, -3*b + 0*c = -x*c - 14. Calculate the remainder when 28 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/329 in 2, -5.6, 3, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 6:12 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 1. Let x(v) = 0*v**2 - 8*v**2 + v**2 + w*v**2. Let y(l) = -37*l**2. Calculate y(x(o)).\nAnswer: -148*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 247878259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5*47009337\nAnswer: -235046685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = w - 5*w. Is ((-3)\/(-6))\/(1\/w) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 41 = 125 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**4\/12 + 14*g**3\/3 + 24*g**2. Let z be m(14). Solve -5*p = -3*i - z + 29, -4*p = i + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 17 = -3. Let x be (-3)\/(-2) - (-3)\/6. Suppose 4*v + y = -1, -5*v + 36 = -5*y + 6. Put v, r, x, 0 in decreasing order.\nAnswer: r, x, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.3 (c) -4\/191 (d) -1905 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*r + 0 + r + r - 4*r + (-4 + 5 - 2)*(0 - r + 0) + 3*r + r + 15*r)*(-3*r**4 + 5*r**4 - 4*r**4).\nAnswer: -30*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 4, 60, -4, 118, 1 in descending order.\nAnswer: 118, 60, 51, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -10, -10*y + 14*y = -4*m + 576. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + 5 + 3 + (sqrt(448) - -1*sqrt(448))**2 + 4).\nAnswer: 5412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*d = -523 + 709 + 1034 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38079 (base 12) to base 6.\nAnswer: -1344233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -2 (b) -5 (c) 119.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -336. Let k = 430258 + -429971.877. Let o = h + k. Round o to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51*9.1961\nAnswer: -469.0011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 1405*h**2 - 184886*h - 233295.\nAnswer: (h - 103)*(h + 453)*(4*h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-15))\/(2\/(-30)). What are the prime factors of l\/(-20) + (-109)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002192267 to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {s: 1, l: 1, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*o + 24 = -2*o, -11 = -4*l - 5*o. What is the smallest common multiple of 10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n + 139 - n - 163)*(-1 - 1 + 5)*(-5 + 5 + 5)*(-n + 0*n + 0*n) to the form g*n**2 + s + c*n and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2263*q**2 - 1088*q**2 + 866*q**2)*(5*q - 2*q - q).\nAnswer: -4970*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23663a (base 11) in base 14?\nAnswer: 9a820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**2*k**3*v**3 - f**2*k**2*v**3 + 123*f**2*v**2 + 140*f*k**3*v + 2*k**2*v**3 wrt k?\nAnswer: -18*f**2*v**3 + 840*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 1\/5*o**5 - 1\/3*o**4 + 1\/2*o**2 + 0*o**3 + 53*o + 0. Let j(b) = -b**3 + b**2. Let z = -3 - -2. Determine z*f(c) - 5*j(c).\nAnswer: c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, 5, -59.1 in ascending order.\nAnswer: -59.1, 2.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 + 0 + (-5 - 50))) + (168 - 178)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.07 (b) 0.004 (c) 11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*l**3 + 44*l**2 - 20*l - 8.\nAnswer: 4*(l + 1)*(2*l - 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 658 - 666.2. Let w = 8.4784 + t. Round w to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1280\/(-35) + (57 - (-22 - -49)).\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 3*d + 3. Let i(v) = -v**2 - 4*v + 16. Let x be i(-7). What is u(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10\/3)\/(u*u*u*u\/(u*u\/((((u*u**(-4\/9))\/u)\/u)\/u))))**(4\/33) assuming u is positive.\nAnswer: u**(-104\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/15 - 3*i**3\/2 - 3*i**2. Let z(g) = -4*g**2 + 10. Let p(h) = -3*v(h) - 2*z(h). Differentiate p(r) with respect to r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 8*p**2 - 2*p - 11. Let k be t(-8). Suppose 5 + k = o. Suppose 6*j - j - o = 0. Solve -l + 4 = 0, 0 = -4*s + 3*l - 30 - j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 20. Calculate the remainder when 5 is divided by z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 915230 and 1305407?\nAnswer: 248027330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**2 + 3*q + 7. Let n(m) = -8*m**2 - m - 6. Determine -7*n(d) - 6*o(d).\nAnswer: 20*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 34.6. Let v = 0.4 + u. Let q be (6\/4 - 3) + 2. What is the closest to q in 0.2, -1, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 not equal to 402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 9:26 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -35. Calculate the common denominator of ((-280)\/25)\/g - 2 and -4\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630661517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*p = -105, 3*y = -0*y - 4*p - 78. Let s = -34 - y. Is 2 - (s\/(-4) + -4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1181 - -3010. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*w - 114, -3*w - g = -5*g - 64. Calculate the remainder when 59 is divided by (w\/9*-1)\/(2\/(-9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9)\/(h**5\/h))**(-2\/157) assuming h is positive.\nAnswer: h**(26\/157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -130\/7 (c) -4 (d) 1\/3 (e) -183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((3 - 6) + 1 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -7*p**2\/2 - 11*p - 7. What is the tens digit of l(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412307183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -28?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 101857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmnn when four letters picked without replacement from mmmnmnmmnnmnn?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, 12\/55, 3\/4, 137, -0.05.\nAnswer: -4\/15, -0.05, 12\/55, 3\/4, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15633 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2571661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -202530052?\nAnswer: 202530051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12977946 and 12?\nAnswer: 25955892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10510 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s + 111048 = -93552. What are the prime factors of s?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 12*t - 14. Suppose -303 = -6*a - 285. Let v = 13 - 8. Solve -v = t*q - a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2934719 to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1028, 3 in ascending order.\nAnswer: 1, 3, 1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13229*j**3 - 13*j**2 + 5096*j + 27 wrt j.\nAnswer: 79374*j - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 37\/10959?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(100)\/sqrt(10)) + 4.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 8. Suppose z + m*q = 2*z + 23, -21 = 2*z - 3*q. Let c be 4\/((z\/3)\/1). Let y(w) = -2*w**2 - 4*w + 2. Calculate y(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*f**2 - 103*f**2 - 108*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.008134\nAnswer: 0.073206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 2*l**2 - l - 1444. Let y(p) = -10*p**3 - 11*p**2 - 5*p - 7221. What is 11*u(c) - 2*y(c)?\nAnswer: -2*c**3 - c - 1442","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 3*j + j)*(127 - 69 - 137)*(3*j + 0 + 0)*(2*j - 4*j + 0*j).\nAnswer: -474*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89718181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -5, 9, 62.\nAnswer: -5, 0, 9, 12, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38523 rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 9. Let u(m) = -m**3 - 7*m**2 - 6*m + 3. What is the units digit of u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 26*t**2 - 22*t + 229. Determine j(11).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47940978*s**3 - 2*s**2 - 5*s + 161351.\nAnswer: -287645868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iajayyfyja. What is prob of sequence ayi?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.46 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 6*s + 32. Let i(v) = 8*v**2 - 13*v + 64. Let m(c) = 20*a(c) - 8*i(c). Factor m(d).\nAnswer: -4*(d - 4)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-20)*(-9522)\/621.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2165*a + 31. Give n(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/39)\/a*a)\/a*a**(-8))\/(a\/a**(-2\/3))**(-23) assuming a is positive.\nAnswer: a**(395\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-65))\/((-6)\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79.3 + -84.81. Let n = a - 50.49. Is -0.1 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)\/y)**(-23)*((y\/(((y\/(y*y*y*y**3*y))\/y)\/y*y))\/y)\/y**(3\/7) assuming y is positive.\nAnswer: y**(1357\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmbmbb. Give prob of picking 2 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 2*g - 9*g - 3*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 707373 = 3*n, -4*m - 169 + 193 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, p: 2, j: 2, g: 12}. What is prob of sequence gv?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - -5132761261521.\nAnswer: 5132761261521.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1089173\/924 + -8427\/7. Let c = y + 156\/11. Calculate the common denominator of -57\/10 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*s - 27 = -0*w, -12 = -3*w + 2*s. Let v(q) = 2*q - 10. Let p be v(w). Solve -p*n + 6*n + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -403 or -4819\/12?\nAnswer: -403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*k - 4*z, -2*k - 4*z = -6*z + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*-3*1.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 230\/(-210) - (-2)\/21. Let h(m) = -7393*m - 6. Is h(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 5*u - 8 + (4 - 4 - 2*u)*(-1 + 1 - 2) to n + l*u and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2891, 2637, 2195, 1565, 747?\n\"Answer: -94*r**2 + 28*r + 2957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**3)**(1\/4))**35 assuming v is positive.\nAnswer: v**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 2*d + 6. Let o(m) = 16*m**2 - 46*m - 41. Calculate -7*f(s) - o(s).\nAnswer: -9*s**2 + 60*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 27*d - 70. What is c(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 5, x: 3, f: 1, m: 4, z: 6}. What is prob of sequence zz?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q + 2. Suppose -5*j - i = 22, 0 = 4*j - j + 2*i + 16. Let b(a) = a + 2. Let x be b(j). What is the units digit of k(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 54. Suppose -5*c - p = 36. Which is smaller: c or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 4*z - 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -83935 + 12.7\nAnswer: -83922.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42424 + 22108 = -1337*w + 449*w + 2372 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 6 (b) 119 (c) 0.5 (d) 0.115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10 + -4 + (3 - 0)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5124035137?\nAnswer: 13, 394156549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*w + 20 = 0, 5*w + 11 + 14 = 3*i. Solve -2*k = -i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2071.\nAnswer: 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eweweeeewee. Give prob of picking 3 w.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1030383477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2143 - 22)*(-9)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*o + 130*o = -84*o + 6900 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -100*y**3\/3 - 77*y**2 - 82*y. What is the derivative of z(u) wrt u?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8040743027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4)*z*z*z*z\/((z**5*z)\/z))\/(z**5*z*z*z**9\/z))**(12\/7) assuming z is positive.\nAnswer: z**(-195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 h when four letters picked without replacement from eeeeeheeccececheqhec?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b - 9. Let x be i(-3). Put 0.2, 0.3, 0, x in decreasing order.\nAnswer: x, 0.3, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -2)\/((-1)\/7). Let i = z + -7. Suppose -2*w + 21 + 425 = i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4274.775721 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35196650 divided by 1.\nAnswer: 35196650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 - 15*u**2 + 15*u**2)*(0*u + 2*u - u) - 11*u**3 + 2*u**4 + 11*u**3 - 4*u + 4*u + u**4 + (2*u**3 - 3*u**3 + 2*u**3)*(2*u - 6*u + 2*u).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8397, 65917, 222011, 525957, 1027033, 1774517, 2817687, 4205821?\nAnswer: 5988197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - h + 10*h**2 - 6*h**2 + 0*h**3 - h**4 to the form t + i*h + k*h**2 + b*h**3 + y*h**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q - 44 = i, -3*i = 2*q - 8. Let k = -7724 + 7739. Solve -k*u + q*u = -15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -25589, -8 in ascending order.\nAnswer: -25589, -8, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, n: 1, z: 5, r: 7}. Give prob of sequence rnzp.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 11*b**8\/112 - b**6\/24 + 167*b**5\/12 + 2*b**2 - 511*b. What is the third derivative of z(i) wrt i?\nAnswer: 1980*i**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329867804.\nAnswer: 2, 7, 1682999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = -10. Suppose 7*b = r*b + p + 1825, 5*p = 25. Suppose -5*y + b = -5*i, 0*i - 20 = 5*i. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6 - 4. Suppose -a + 1 = -2*v, 3*v = 2*a - 6 + i. Let q = -679 + 685. Calculate the smallest common multiple of q and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31715 is divided by 587.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1691.2 + -1690.72. Sort 17, 3, z in decreasing order.\nAnswer: 17, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 43434*v + 43437*v = 53, 21*v - 63 = 3*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/5 of a millennium?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.2 (c) 5.11 (d) 0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 12 = -2*f, -3*g - 6*f + 10 = -4*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -323.42 + 4179\nAnswer: 3855.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from blbpicki?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11231 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267215 or 267223?\nAnswer: 267215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.07 - 0.07. Let v = 4 - 3. Let i = v - w. What is the closest to i in -3, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 10*c**2 - 12*c - 19. Let x be m(-11). What is the smallest common multiple of 3*(-550)\/(-45) + x\/12 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -891*c + 61204. Give l(68).\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 0 (c) -1507 (d) 226\/3 (e) 0.8 (f) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 7, -0.1, 3\/7, 0, -11991, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (6 - 64) + (21 - 39 - -31).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2324 + -0.0746. Let s = 0.332 + o. Which is the second smallest value? (a) 2\/17 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 10616\/2465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (sqrt(65)\/sqrt(5))**2 + -3)*1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) - (-90)\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u**(-6\/11)\/u))))**(-37)\/(u**(-2\/43)*u*u)**37)**(2\/37) assuming u is positive.\nAnswer: u**(-4256\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**6 + 17*d**6 + 6*d**2 - 42*d**2 + 2*d**6 wrt d.\nAnswer: 3360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 249 = -j, 6 + 2 = -2*j. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2363.2 and 0.4067.\nAnswer: -961.11344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((3 - 7) + 6 + -2 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287754 is divided by 1934?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 18, -h - 844*f + 8833 = -846*f. What are the prime factors of h?\nAnswer: 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-42))\/(4\/252*-3)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.12, -0.4, -22?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -6*w**7\/175 - 2*w**6\/5 - 118*w**5\/75 - 2*w**4 - 6*w**3\/5 + 3*w**2. Factor i(d).\nAnswer: -4*(d + 3)**2*(3*d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 8 = 10*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -523 or -525?\nAnswer: -525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2. Let l(k) = -2*k. Let o(q) = q - 2. Let d be o(-4). Let j(v) = 7*v. Let x(z) = d*l(z) - 2*j(z). Give x(h(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80220 by -8.\nAnswer: -20055\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -75, -43, 5, 69?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 84314537*f**2 + 84314537*f**2.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -8*t + 5*t - 26, -41 = 5*t + z for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-one halves of a micrometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**4\/5 - 316854*q**3\/5 + 9*q**2\/5 + 950556*q\/5 - 633708\/5 = 0.\nAnswer: -105618, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 15 = -2*x + 37, -4*t - 58 = -5*x. Let k be (8\/t)\/(4\/(-3)). Solve g + k + 1\/2*g**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -57*k + 963. Determine m(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 5112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5\/(y**0\/y*y)*(y**1)**(-20)*(y*y**(-2\/11)\/y)\/(y**5\/y)*y**(-8)\/y**1 assuming y is positive.\nAnswer: y**(-310\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175.62 - 161.72. Which is smaller: x or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*(-60)\/450*24\/896*8?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppzppzp. Give prob of sequence pp.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 87a (base 11) in base 14?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 + 2*y**3 - 2*y**3 + (-y - 2*y + 2*y)*(-y**2 + y**2 + y**2) + (2*y + 0*y + 4*y)*(2*y**2 - 9 + 9).\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 + 143499*q**3 - 1716499029*q**2 + 12007315125*q + 13723957656 = 0. What is q?\nAnswer: -1, 8, 23913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 1. Let z be g(-2). Let f = 247 + -238. Suppose -2*x = -f*x + 7. Sort 2, -4, x, z in descending order.\nAnswer: 2, x, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -296.\nAnswer: 53\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7929 - 2?\nAnswer: -792b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1146 + -1224. Let o = 77.826876572 + 0.173094028. Let f = o + a. Round f to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.26 + 3.36. Put -5, 2\/7, -13, b in ascending order.\nAnswer: -13, -5, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -10 + -4 + -12 + 5 - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 27*q - 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (126\/(-12) - -3)*4\/(-3). Which is bigger: t or 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 8 - 3*m + 4*m.\nAnswer: m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38\/13 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -979 (b) 5 (c) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-8)*6 + 413\/28. Let j be 2\/u + 273\/147. Which is the third biggest value? (a) -0.04 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373152 by 124384.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 16*w**5\/5 + w**4\/4 - 5*w**3\/6 + 3*w**2\/2 + 2*w. Let v = 1218 + -1216. Is n(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/14 and -71\/980?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 108. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*(14 + (-615)\/60)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 157, 730, 1895, 3850?\nAnswer: 6793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**(1\/4))**(-3\/16)*((s**17*s)\/s)\/(s*s*s*s**16*s*s) assuming s is positive.\nAnswer: s**(-289\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -7*m + 13. Suppose -m*g + 15515 - 2897 = -k, 7*k = -4*g + 10110. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -301*j - 3581. What is the thousands digit of q(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 14483739 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/(-10)*-2*5. Suppose 4*k + k - 92 = 3*l, 2*k + l = 28. Let h = m - k. Is h > 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -805*x + 801*x = -20. Suppose -x*s - 3*b + 1102 = 0, -7*b + 452 = 2*s - 3*b. Calculate the least common multiple of s and 20.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 204 - 206. Let h be (-6)\/4 - 5\/c. Solve 8 - h = 3*k - 2*z, -4*k = z - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*w - 64, -5*w - 12 = -g - 34. Let d be g\/54 - 168\/(-27). Suppose o + y = d*y + 63, 5*o + 5*y - 465 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 - 26\/(-8). Let x(c) = c**3 - c**2 + 4. Let h be x(0). Suppose -p + t*j = -2*j - 14, h*p + 4*j - 80 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -33. Let a = -1358 + 1362. Solve 2*r = 2*n - 10, -2*n + a*r + 22 = j*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -167*h**3 - 353*h**2 + 10*h. Let n(g) = -84*g**3 - 176*g**2 + 6*g. Let v(w) = 3*c(w) - 5*n(w). What is the third derivative of v(s) wrt s?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1355031 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((2\/(-4))\/((-2)\/(-8))). Let v(a) be the third derivative of y*a - 1\/150*a**5 + 3*a**2 + 0*a**4 + 0*a**3 + 0. Determine d, given that v(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1 = 5*i - 4*d, -i = 2*d + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/7 - 22*i**3\/7 + 2*i**2\/7 + 22*i\/7 = 0.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**4\/24 - f**2. Let s(q) be the second derivative of -1\/6*q**3 + 1 - 24*q**2 - 115*q. Determine s(c(g)).\nAnswer: -g - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 25858 - 408142. What is g rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {g: 2, j: 1, a: 2, q: 1, i: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-112)\/(-22)) + (-13)\/(-91)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11118, 8853, 6586, 4317, 2046?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 39*u + 5440 = 0. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 1, u: 7, l: 4}. Give prob of picking 1 l, 1 u, and 1 c.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 742*v - 37966. What is d(51)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9335\/6 + 1559. Calculate the common denominator of a and -30\/833.\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u**3 - 4*u**2 - 3*u - 1. Let y be d(-1). What is the common denominator of (-2)\/20*6\/y*62 and -42\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + o + 0 + 396*o**2.\nAnswer: 396*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -108. Suppose -11*m + c = -4. Calculate the lowest common multiple of m and 94\/8 + 6\/(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -79*g**3 - g**2 - 5*g - 13. What is the tens digit of q(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a factor of 313132512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 16 + 1\/60*u**5 + 0*u**2 + 5*u - 1\/36*u**4 - 1\/9*u**3. Let i(s) be the first derivative of x(s). Factor i(k).\nAnswer: k*(k - 2)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-1) - (-5*(-104)\/(-40) - -23).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7816.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354015359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-4)\/18 + (-400)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0473 or 3.2829?\nAnswer: -0.0473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 124. Let f be n(0). Let o be (135\/20 + -6)\/((-1)\/4). Is (-9)\/o + -5*f\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963620029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076 a factor of 648040008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oneeeooysoeyyo. What is prob of sequence oeo?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1. Let l(s) = 3. Let f(i) = l(i) + 4*z(i). Let q(t) = -t**2. Suppose -7*j + 48 = -9*j. Let h be j\/(-9) + (-4)\/6. What is h*f(m) + q(m)?\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 7*n + 1995. Let s = n + 147. Let b(p) = -6*p + 4. Calculate the lowest common multiple of b(-3) and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -470 and 421.\nAnswer: -197870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*d = 6*d + 34, 0 = -3*d. Let l(f) = 8*f**3 - 6*f + 1. Let v(j) = 20*j**3 - 16*j**3 + 19*j**3 + 3 - 17*j. Calculate o*l(k) - 6*v(k).\nAnswer: -2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1713729 hours in milliseconds?\nAnswer: 616942.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -1380?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.12392 rounded to 1 decimal place?\nAnswer: 51.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiziiziaiai. Give prob of sequence zaia.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 36 - 496 = 0. Let r = -79 - a. Let x = r - 250\/7. Sort x, 2\/15, -3 in ascending order.\nAnswer: -3, 2\/15, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -1, 53, 22, 3, 2, 4.\nAnswer: -77, -1, 2, 3, 4, 22, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163909?\nAnswer: 3, 11, 23, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317 - 317 - 6*i - 2*i - i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 2*y - 161 + 177 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 37\/18)\/(268\/804). Which is the biggest value? (a) o (b) -4 (c) 2\/159 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*s + 17*s - 11*s to i + a*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -7. Let o(c) be the second derivative of c**5\/20 + c**4\/4 - 2*c**3\/3 - 3*c**2\/2 + 129*c. Calculate o(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -646 and 2.2.\nAnswer: -643.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13806140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 266 + 251 = o, 25 = 5*o. Solve m*y - 5*j - 15 = 0, -y + 4*y - 20 = -5*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 n when four letters picked without replacement from {o: 5, n: 3, d: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 1.6, 0.1524, 29\/3 in increasing order.\nAnswer: -1, 0.1524, 1.6, 4, 29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1514144.6662\nAnswer: 1514139.6662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + l + 177014, 33478 = w + l - 25516. What are the prime factors of w?\nAnswer: 2, 29501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 3*r**4\/8 - r**2. Let j(q) be the third derivative of q**5\/20 + 10*q**2 - 1. Determine n(j(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1456\/117 - 34) + 21\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*l**2 + 225*l - 1875\/4.\nAnswer: -3*(6*l - 25)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -26, 1\/5, -3\/2, -0.5, -4, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1166, -2335, -3504?\nAnswer: -4673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 5:06 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 149620324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*-2*sqrt(85))\/sqrt(5).\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/5*(-35)\/3. Suppose w*r + 1060 = 13*r. Round r to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/35 + (-78)\/(-10). Suppose 0 = x*l - 9*l + 7. Calculate the highest common divisor of 63 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/((-234)\/228))\/110. Let c = 12\/55 - x. Which is smaller: c or -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**6\/120 + d**5\/10 + d**4\/3 - d**3\/3 - d**2. Let f be a(-4). Is 14 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + p + 2 = 0, -n + 8 = -2*n - 4*p. Suppose n = 7*r - 482 - 449. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/102 and -137\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -63*c**2 + 32*c + 1. Let y(a) = -a**2 - 8*a - 1. Let s(q) = x(q) + 4*y(q). Let p(u) = -68*u**2 - 4. Calculate -3*p(n) + 4*s(n).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-770)\/31185*15\/20*24.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/82788328 and -45\/4.\nAnswer: 82788328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*o, y - 85 - 612 = 4*o. Let i = y + 18. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.5576?\nAnswer: -0.16728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 < 1471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1475.848m to kilometers.\nAnswer: 1.475848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 47?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**2 + 6*g**2 - 9*g**2)*(-5*g**2 + 4*g**2 + 0*g**2 + 4*g).\nAnswer: 9*g**4 - 36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o + 57*o - 15*o - 7*o - 16*o - 12*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Suppose 5*s = -1 + 11. Let h(q) = -q**s + q - q. Determine f(h(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v + 10. Determine f(10).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133188.\nAnswer: 2, 7, 40471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3576*x + 2 - 207*x - 2 to w + h*x and give h.\nAnswer: -3783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 11. Calculate the smallest common multiple of 14 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91300 = -1988*k - 2162*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**2 - 4. Let d be g(-2). Let h be (4302\/15)\/((4\/2)\/d). What are the prime factors of h\/20 + 5 - (-4)\/(-10)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 11}. Give prob of picking 2 n.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-20)\/8) + (-34)\/4. Let w = r + 74. Is (-2 - 1*-6)*w\/4 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + -9 + -7 + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1781)\/(-411) - ((-4)\/6 - 0). Let s(p) = -4*p**3 - 8*p**2 - 8*p. Let u(x) = 5*x + 3*x**3 + 3*x**2 + 7*x**2 - 5*x**2. Calculate i*s(y) + 8*u(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22 - (0 - -1)*2. Solve 8*m - 3*m + s = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/70380 and 145\/414.\nAnswer: 70380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -67. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10*i**(-2\/33)*(i\/(i\/(i*i**(-8))))\/i**(-6) assuming i is positive.\nAnswer: i**(295\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -16*f + 758. What is x(13)?\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/45, 0.2, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 1\/3, -8\/11, 1\/4, 2\/7.\nAnswer: -1, -8\/11, 1\/4, 2\/7, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/180 + t**5\/20 - 37*t**3\/6 - 3*t**2 - 9*t. Let q(z) be the first derivative of y(z). Calculate q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 194, 421, 826, 1487, 2482, 3889, 5786?\n\"Answer: 13*n**3 + 11*n**2 + 103*n + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5\/4, -0.2, 3\/5, -0.131?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257312?\nAnswer: 2, 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6660 divided by -1083.\nAnswer: -2220\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168339 to the power of 1\/2, to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddla when four letters picked without replacement from ldldvadd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -891 + 923. Suppose 38*x - 1200 = u*x. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89200434 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13013 and 4.\nAnswer: 52052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.20000029 + 16.2. Round f to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3443279 is divided by 91?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5385, 5386, 5387, 5388, 5389, 5390?\n\"Answer: s + 5384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23258, -20779, -16644, -10853, -3406, 5697?\n\"Answer: 828*c**2 - 5*c - 24081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17520 and 7544640.\nAnswer: 550758720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -2\/11, 0.11, -2\/5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-53)\/(-7)*35\/10. Let n = x + -27. Which is smaller: -1.8 or n?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*v - 56 = -156, -v - 220 = -5*o. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p + 9. Let x(o) = o**2 - 11*o + 7 - o**2 - 9*o + 28*o - o**2. Calculate the remainder when x(p) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360373 divided by -18967.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:27 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let o be 0\/(3 - (5 - 1)). What is the closest to o in -2\/9, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + 259. Suppose -8*s - 13 = -b. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687399, 687400, 687401, 687402?\nAnswer: 687403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 2834 = -6*u. Let t = u + -109. Solve t + 0 = -8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 3 (b) -1\/84 (c) -4884\/41 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*v - 482, v = -3*v + 5*w + 474. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 8) to base 3.\nAnswer: 12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 19 - 21)*(0*s + 0*s - s) as g*s + j and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llrlllrllrrelrlelr. Give prob of picking 1 r and 2 e.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -18*o**3 + o**2 + 3*o + 14. Let a(y) = -21*y**3 + 4*y + 16. Determine 4*a(s) - 5*x(s).\nAnswer: 6*s**3 - 5*s**2 + s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -1 - 0. Let z be (1 + -13 - -3)\/(p - 0). Solve -r = 2*r + z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3*i**(-6\/13) assuming i is positive.\nAnswer: i**(33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 4*t - 1. Let k be d(-3). Suppose 3*u = -4*q - k, 4*q + q = 5*u - 25. Suppose 72 = 4*w - u*w. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + z - 1874, 5*o + 3*z + 3114 = 0. Let d = o - -666. Solve -d*f + 41*f + 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(189\/(-14))*9\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10105 is divided by 273.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 497 - 502. Sort h, 1, 3, -7, -8 in ascending order.\nAnswer: -8, -7, h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-11 + (-9 - -20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10630854 divided by -3543618.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4221*d**2 - 19608*d wrt d.\nAnswer: 8442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, o: 6, y: 1}. Give prob of picking 2 o.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q. Let z(p) = 2*p + 10. Let f(y) = -1. Let m(i) = -20*f(i) - 2*z(i). Give m(l(c)).\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2, -4, -5\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22924 at most as big as 22883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(72\/8))\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/10 - 2*m**3\/3 + 3*m**2\/5 + 18*m\/5 + 7. Factor y(g).\nAnswer: 2*(g - 3)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/19140950 and 53\/1805750.\nAnswer: 95704750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1494\/17 - -88. Which is the nearest to 0.1? (a) 1\/2 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5725, 5723, 5721, 5719, 5717?\nAnswer: 5715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2883)\/62*4\/(-6). Calculate the highest common divisor of 279 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgbwgbbggbgbbgbbb. What is prob of picking 2 b?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9769.579 kilometers in nanometers?\nAnswer: 9769579000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 21*o**2 - 37*o + 27. Let m(g) = 6*g**3 - 64*g**2 + 110*g - 82. Let w(v) = 3*m(v) + 10*y(v). Determine z, given that w(z) = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104, 212, 322, 434, 548, 664, 782?\n\"Answer: b**2 + 105*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -j - 12. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*x - 5*x. Find the second derivative of 8*o**3 + 0*o**x - 21*o + 18*o wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 3:19 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9 - (-25)\/3 - 343\/3. Let k = 122 + w. Solve -12 = -k*u + 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 746654, 1493306, 2239950, 2986586, 3733214, 4479834?\n\"Answer: -4*y**2 + 746664*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.2 + 22.8. Which is the closest to -51? (a) 0.2 (b) f (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45079 to 3 dps.\nAnswer: 0.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4.999999. What is w rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2803, 2755, 2603, 2293, 1771?\n\"Answer: -9*h**3 + 2*h**2 + 9*h + 2801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**6\/27 - 8*g**5\/45 - g**4\/3 - 8*g**3\/27 - g**2\/9 - 15. Determine j so that k(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and -7?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 0, -2 in increasing order.\nAnswer: -2, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 211, -6.\nAnswer: -10, -6, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*n + 48 = -3*n, -4*n - 52 = -4*c. Let l = 8 - c. Let w(o) = o**2 + 6*o + 1. Does 14 divide w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + (-1)\/(4\/26))*-6. Solve 0 = -4*f - q - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18291369 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 - 1651 = -4*i. Let a be (6 + 751)*(1 + 0). Let y = a - i. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 585 + -1013. Let v = k - -423. Put v, 2\/7, 4 in descending order.\nAnswer: 4, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 14, w: 4}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160.841 - 160.1. Let u = g - 0.395. Let y = u - -0.054. Which is the third biggest value? (a) 1 (b) y (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*n - 250*n + 971*n.\nAnswer: 1100*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (76\/5)\/(47\/(1175\/(-10)))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -197*b + 198*b - 7, 3 = -3*b - 4*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 165 - 1062 = 0. Let s = m + 295. What is the second biggest value in s, -42, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(245) + -1 + 4)**2*-2*4 + 5.\nAnswer: -125507 + 2688*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8635528 divided by 3?\nAnswer: -8635528\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -509 or -3565\/7?\nAnswer: -3565\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*f**4 + 392*f**3 + 8*f**2 - 1148252*f wrt f?\nAnswer: 744*f**2 + 2352*f + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, u: 7, g: 3}. What is prob of sequence uk?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110338 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 228979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 = 5*v + t, 5*v - 5*t + 30 = 0. Let l be 0\/(-1) - (v - 2). Suppose -l*f = -7*f + 4000000. Round f to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 + 84*o**2 - 87*o + 2. Let f be r(-29). Let c = 1 + 1. Solve 0 = -f*z - c - 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2946087?\nAnswer: 3, 327343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k + 0 + 2 - 3*k + (2*k - k - 4*k)*(2 + 1 - 1) - 2*k - 2*k + 6*k.\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 187*g - 1871. Let b be k(10). Let q(p) = -23*p**3 + 4*p**2 - 2. Let l(o) = -o**3 + o**2 - 1. What is b*q(i) + 4*l(i)?\nAnswer: 19*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 1 z when three letters picked without replacement from {v: 2, z: 1, j: 2, e: 1, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 - 2) - -10 - 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 141 = -149 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 + 10404*r**2\/7 - 291486*r + 102010000\/7.\nAnswer: -2*(r - 5000)*(r - 101)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3572 and 608.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -120, -191, -272, -363, -464?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36806157113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (21 + (-1 - -9) + -12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1511\nAnswer: -4\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/4*18702\/(-9351).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + n**2)*(-7*n**2 + 5*n**2 - 3*n**2) + (-n + n + n**3)*(355*n + 19437 - 19437).\nAnswer: 350*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -4, -3, -1 in increasing order.\nAnswer: -18, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4590450120 to the nearest one hundred thousand.\nAnswer: -4590500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32166732 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8468 divided by -72\nAnswer: -2117\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -897, -1798, -2701, -3606?\n\"Answer: -d**2 - 898*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*8\/(-3). Let a(b) = -b - 1. Let y be a(-2). Let r be (-1 + y)*4\/12. Sort n, r, -2\/3 in decreasing order.\nAnswer: r, -2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 1, i: 5, d: 7, l: 3}. What is prob of picking 1 l and 1 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**5\/20 + 5*s**4\/6 + 5*s**3\/6 + 272*s. Determine q(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*z, 4*g - 2*z = 5*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.4 (c) 2 (d) 1 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26937 divided by -8979\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6054444400.\nAnswer: 2, 5, 53, 277, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/30)\/((-4)\/(-120)). Solve -2*f + 0*f - 13 = 3*d, -l*f - 23 = 3*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8) - 1121\/236.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - r = -0*w - 10689, 3*w - 16034 = -r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + 5. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -38\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2958 = 90*u - 1902. What is the highest common factor of u and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/65)\/((-12)\/30). Let p = -7 - -6. Which is the smallest value? (a) p (b) -0.4 (c) 1\/2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5127 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 0*m**3 - 3*m**3 + (-3*m + 2 - 2)*(2*m + 12 - 2*m**2 - 12).\nAnswer: 3*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 794028 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6181 divided by -6181\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2655*l**3 - 1781*l**3 - 878*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 r when three letters picked without replacement from {q: 1, t: 2, h: 1, r: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4795 and 39305?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 1895*u + 1895*u + 38*u**2 + 17*u**2 + 4.\nAnswer: 52*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000799 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = -20*d + 95. Let u = d - 87. Let v be (-3)\/18*u*15\/(-3530). Do 0 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {g: 9, e: 5, l: 1, j: 1}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -33, -31?\n\"Answer: 2*i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 500629 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -12*k**2. Let u(g) be the third derivative of 0*g + 6 - 15*g**2 - 29\/24*g**4 + 0*g**3. Determine j(u(m)).\nAnswer: -10092*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2\/3)\/(20\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 2*d**2 - d + (-2 - 3*d + 2)*(-d - 4*d + 2*d) - 7*d**2 - 5*d**2 + 10*d**2 - 3 in the form u*d + q*d**2 + b and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6231 is divided by 1667?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + sqrt(176) + -3*sqrt(176) + sqrt(176)) - (4*(sqrt(176)*1 - sqrt(176)) - ((sqrt(176) + sqrt(176)*-1 - sqrt(176))**2 + 2 + sqrt(176))).\nAnswer: -16*sqrt(11) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000599802 rounded to 6 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -85, -124, -163, -202, -241?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -3\/43 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y + 0*y - 3*y)*(-43 + 105 - 29) in the form f + j*y and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 37. Let l be u(-18). What is the second derivative of -30*b + 170*b**3 - 517*b**3 - l + 164*b**3 + 170*b**3 wrt b?\nAnswer: -78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 12, 223*v - 6*g + 60 = 229*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p + 106 = 42*p. Let x = 53 - p. Let v(q) = -q + 1. Let j be v(-1). Solve -16 = -x*c + 4*c - j*o, -5*c + 10 = 5*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) + (-1298)\/(-4). Suppose 1595 = 2*x + g. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11715.6 - 11716. What is the biggest value in 2\/25, -2\/27, r, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99264 to the power of 1\/2, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 0 + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2235 is divided by 149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/1599, -2\/11, -2\/9, 1?\nAnswer: -1\/1599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.52 + 111345?\nAnswer: 111418.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 36*u = 236 + 24 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 4*r. Let x be 3 + 14\/2 + -4 + 1. Suppose 7 = g + y, -g - 2*y = -0*y - x. Give m(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1 - l**4 + 0 - l**2 - 1. Let i(n) = 8*n**4 - 2*n**3 + 2*n. Let m(j) = -i(j) - 4*o(j). Factor m(y).\nAnswer: -2*y*(y - 1)*(y + 1)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3743\/(-76) - (-3)\/(-4). Let v = 50 + q. Suppose 2*j = 3*h - 0*h + 25, -2*h = j + 5. Solve -12 = g + 5*s, j*g + v*s = 2*s + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 254418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45 - (-43 + 48 - (2 + 0)). Suppose -k = -t*a + 40*a - 6, 2*a = -2*k. Factor 3\/2*q - 3\/8*q**k - 3\/2.\nAnswer: -3*(q - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59915181 to the nearest integer?\nAnswer: 7740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 19 + 29. Let u = 4 - 2. What is the second derivative of 9*g**3 - f*g**3 - u*g + 3*g wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 51) + 11 + (5 - -7)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -5\/280036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*n**4*p - 2*n**3*p**2 - 3*n**2*p**3 + 18*n*p**3 - 3*n*p**2 + n*p wrt n.\nAnswer: 84*n**2*p - 12*n*p**2 - 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = 2*r, -g + 2*r = -3*g + 6. Which is the nearest to 0.1? (a) -2\/21 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-l + 2*l + 0*l)*(-2 + 0 + 5) - 2*l + 6*l + 0*l + (-l + 4 - 4)*(-1 - 2 + 2) - 5*l + l + 5*l)*(-296 - 304 - 2*l + 613) to k + b*l**2 + i*l and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 12. Let o(c) = c**3 - 11*c**2 + 14*c + 9. Calculate the remainder when o(i) is divided by (-2 - (-363)\/24) + (-7)\/56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -43. Let w(f) = -f**3 + 4*f**2 + 3*f - 1. Let o be w(3). Let m = o + -13. What is the remainder when u is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 9465146?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 23*a + 86224 + 22064. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 150 = -3*l, -6*l - 198 = -4*s - 8*l. Put s, -5, 2\/13, 0.3 in ascending order.\nAnswer: -5, 2\/13, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96763, 96765, 96767, 96769, 96771?\n\"Answer: 2*l + 96761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 71 = -3*q, 0 = 2*v - 12 + 4. Let o = q - 10. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12132151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 997355795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -340 (b) 3 (c) 0.1 (d) -0.3 (e) 1 (f) 44.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 3*m**2 - 7*m + 9. Suppose -15*o - 81 - 189 = 0. Let g(x) = 2*x + 39. Let h be g(o). Is 7 a factor of r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5819 minus -99.549?\nAnswer: -5719.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1147130398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 292040339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/46960812 and 31\/198.\nAnswer: 516568932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38565 - 2545369\/66. What is the common denominator of z and 62\/735?\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 162225581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 139611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 17. Let g = r - 13. Let i = 40 + g. Calculate the smallest common multiple of i and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26016 and 96.\nAnswer: 26016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -56. Suppose -5*m - 23 = -3*r, -m + 24 = -0*r + 2*r. Does 7 divide (r - x) + 1 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4372, -8732, -13092, -17452, -21812?\nAnswer: -26172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 1\/80*y**5 - 1\/12*y**3 + 1\/96*y**4 + 0 + 0*y + 3*y**2. Factor f(u).\nAnswer: (u + 1)*(3*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 2) + -5 + -7 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66468 (base 11) to base 16\nAnswer: 17886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 24 = -2*z + 5*x, -2*x + 8 = z. Let h be (-5 - (-2 - 1))*2. Let m be (-2)\/h - (-46)\/4. What is the highest common divisor of m and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161493697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + g)*((-2 - 1 + 5)*(-4*g + 9*g + 0*g) + (-4 + 2 + 3)*(-7*g + 2*g - 3*g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 58. Let c be 6\/p*3 + 27\/(-4). Is (-2*(-3)\/(-2))\/(c\/194) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -5*f + 153 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2 - 3*r + 5. Let w(v) = -11*v**2 + 5*v - 8. Let n(p) = 2*p - 25. Let m be n(10). Determine m*w(l) - 8*z(l).\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 - 78. Suppose -3*c - c + b = 5*k, k - c = 11. What is the tens digit of (-29)\/(-2) - (-6)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.36258 kilograms in nanograms?\nAnswer: 33362580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 2*f. Let n be k(-2). Suppose -40 = u - 3*u. Suppose 14 = 2*m - l + 4, -4*m + n*l = -u. Solve -4*s = s + m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 444409952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*l = 229*l + 150*l - 23515 + 101372 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(425) + 0)*6)**2 - (3 + 2 + sqrt(425))**2) + -5.\nAnswer: -74255 + 250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9225075*w = -9225729*w - 21582 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 196 = -700. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*o + 25*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*o + 97*o - 285*o**2 + 127*o + 284*o**2 + 98*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53504)\/(-66))\/38 + -21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10368 - -10909.7. Let j = l - 542. What is the second smallest value in 16, -1, 3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - x + 2 = 2*y, 0 = -2*y + x + 13. Suppose -7*s + y*s = -2. Solve -2 = f - s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (0 + -3 + 4 - (0 - -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 4*l**5\/15 + 3*l**2 + 293. Let z(d) = 53*d. Calculate z(c(s)).\nAnswer: 848*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baaaaabbbaabaaaacca. What is prob of sequence acaa?\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/120 + w**5\/12 - 9*w**4\/8 - 3*w**3 + 72*w**2. Let y be u(-8). Solve 3*z + 0*z + 5*p - y = 0, 5*z + p = -12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.1, -1, -2\/11, 0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -5, -0.01, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0, 3\/7, -2\/13, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 - 29. Calculate the highest common divisor of 46 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -26*i**3 + 4*i**2 + 2. Let k(f) = -77*f**3 + 14*f**2 + 7. What is -2*k(b) + 7*w(b)?\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3604145 from -0.35.\nAnswer: -3604145.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 12*i - 15. Suppose 0 = -i*p - 11*p + 42. Suppose -3*n - p*z + 3 = 0, -5*z + 5 = -5*n + n. Is n > 1\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4621 divided by -8\nAnswer: 4621\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - 0 - 7 - -50 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.16 + -5.16104789. What is h rounded to 5 dps?\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/27 or 0?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d**(-8)\/d)\/d)\/d))\/(d*d\/d**(-11)*d)*((d\/((d*d**13\/d)\/d)*d)\/d)\/(d\/(d*(d*d*d*d*(d*d**7)\/d)\/d*d*d)) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u = -12. Does 34 divide (8 + u)\/((-5)\/(-65))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/1626 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 61) + (2 - -12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2220734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:50 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 2*l**3\/3 - l**2 + 5*l + 3. What are the prime factors of h(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347632 to the power of 1\/2, to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.745442 millennia to centuries.\nAnswer: 77.45442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25580+9.928208\nAnswer: -25570.071792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - d + 72, 2*r + 2*d = -48. What are the prime factors of (206\/(-3))\/(r\/72)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -279, -942, -2237, -4374?\n\"Answer: -35*g**3 - g**2 + 7*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 2*h**3\/3 - 3. Let g(s) = -6*s. Calculate a(g(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*x**5 + 3*x**2 + 31*x + 4 wrt x?\nAnswer: -960*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 291\/2*j**2 - 603\/2*j + 3\/2*j**3 - 891\/2 = 0?\nAnswer: -99, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309667921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 9308445 to the nearest 100000.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005351 to seven decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64369, 64377, 64389, 64405, 64425?\n\"Answer: 2*r**2 + 2*r + 64365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-1)\/3)\/(6\/(-9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7716815083 - 120.\nAnswer: -7716815203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-144))\/(1\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, and 2 j when four letters picked without replacement from wwjjc?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 833137 less than or equal to 833150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 22 = -2*m, -2*m + 44 = 2*m + 4*w. Suppose -31*a = -50*a. Suppose m*t - 62 - 334 = a. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 + 65822*f = 0. Calculate f.\nAnswer: 0, 65822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1843814.054 to the nearest 10000.\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.028 + 0.0342. Round f to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 3*i**2 + i**2)*(0*i**2 + 0*i**2 - 2*i**2) - 2*i**2 + 2*i**2 + 2*i**4 + (111*i**2 - 13*i**4 - 111*i**2)*(-2 + 0 - 1).\nAnswer: 45*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*((-3)\/(-3))\/1. Suppose 9*r - d*r = -249. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10 + 12 - s**3 + 7*s + 21*s**2 - 2 + 4*s. Let w be r(15). Suppose a + w = 6*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -842\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -105*z**5 - 80*z**4 + 160*z**3 + 110*z**2 - 55*z - 30 = 0?\nAnswer: -1, -3\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(243) + -2 + sqrt(9)\/sqrt(3))*-1.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(400) - sqrt(400))*1 + (-5*sqrt(400)*1 - sqrt(400) - sqrt(400)) + sqrt(400))\/((sqrt(392) - 3*sqrt(392))*2).\nAnswer: 15*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f + 430 - 1018 - 424 = 2038 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 2 + 4 + -2. Let k = -3 + 5. Solve -4*m = h*a + 1, 5*a - 18 = -k*m - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 29 = 65. Sort -5, m, -2 in ascending order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/63*3*(-7)\/(-26)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/((-4)\/6). Let r = -529 + 533. Let s be (r - 3)*(o + 24). What is the greatest common divisor of s and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 + 208 = -u, -40*d - 135 = 5*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 244\/3969 or 0?\nAnswer: 244\/3969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 3*i = -6*f - 9, 2*f - 5*i + 1 = 0. Calculate the remainder when 23 is divided by (-28)\/(-2) - (f - 2)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 = 3*u - 55. Let t = 1161\/2 + -5727\/10. Calculate the common denominator of t and (-8)\/(u\/(-252)) - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -19 + (-7 - -8 - -18)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 114, 186, 294, 450, 666?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -703.\nAnswer: -351.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973 + 2785 = -60*r + 1006 + 986 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344 and 430?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-8)*21*23\/(-1127).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 118, 213, 344, 511?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 132222 (base 4) to base 5\nAnswer: 30322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*n - 18. Let v be (-54)\/(-10) - ((-76)\/10 + 8). Suppose -5*t - 8 = -w, -11 - 29 = -v*w + 3*t. Solve 6*f - 3*f - 11 = -4*o, n*f - w = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2.3, -24, 0.08, 2.1?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 73215?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/3 - 50*z**3 + 2*z**2 + 446*z\/3 - 100 = 0. Calculate z.\nAnswer: -75, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.7 + 7. Let a = 318 - 318.641. Let u = a + 0.141. What is the third biggest value in u, 5, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + -66 + -5 + (-3 - -27).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -80 + (-3)\/(-3) + 2. Let t = 65 + 12. Let w = p + t. Solve 0 = 3*s - w*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 + a + 11. Let g be w(5). Solve -4*v - g = -4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/6 + k**2 - 13*k. Give s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g**2 + 0*g**2)*(-608 + 1314777*g - 657390*g - 657392*g).\nAnswer: 10*g**3 + 1216*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(1 + (-528)\/524) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 476663.6204 to the nearest ten.\nAnswer: 476660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-526)\/(-10) - (-753 + 793). Find a, given that -1\/5*a**3 + 3*a**2 - z*a + 81\/5 = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 499.8747l?\nAnswer: 499874.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 - 8*f - 33)*(2*f - 2*f - 3*f) to i*f + v + x*f**2 and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -243 + 366. What is the highest common divisor of v and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6039 and 54961?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 6*b**2 - 5*b. Let w = -8 + 5. Let z(p) = 2*p**3 + 5*p**2 - 4*p - 1. Let v(y) = w*z(y) + 2*r(y). Does 8 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 21982 (c) 6\/7 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12.9 in 0.5, 2\/7, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 195\/5 + 3\/3. Suppose -10 = -4*g - 2*s, 2*g - 5*s = -g + l. Suppose g*r = 9 + 6. Solve r*c = 6 + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 = 6. Suppose -15*q + q + 112 = 0. Calculate the smallest common multiple of q and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.4. Let x = -1.9 + 0.9. Let s = 0 - x. Put w, s, -3 in descending order.\nAnswer: s, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32899 to three decimal places.\nAnswer: -0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 5*i + 6*i)*(-467*i**2 + 2*i + 24*i**3 + 467*i**2).\nAnswer: 192*i**4 + 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61627714 - 61620094 = 127*v for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhjrjjlhr. Give prob of picking 1 j and 1 h.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180)\/sqrt(3))\/(1*(-2*sqrt(3) - sqrt(3) - sqrt(3))))\/(sqrt(4)*-4*1*-3*-3).\nAnswer: sqrt(5)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/12 and 17\/506.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 + 2476202*a\/5 - 54477412\/5.\nAnswer: 2*(a - 22)*(a + 1238123)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66381896 a multiple of 1246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 3*v + v + 9807 - 6*v.\nAnswer: -v + 9807","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*o**5 + 123751*o**3*t - 394746*o*t + 10 wrt o?\nAnswer: 240*o**3 + 742506*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -16, -15, -14, -13, -12?\n\"Answer: f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 436, 774, 1220, 1774, 2436?\nAnswer: 3206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 9840635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/((-90)\/24). Which is smaller: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*q + u + u, -5*u - 5 = 5*q. Sort 1, 134, q.\nAnswer: q, 1, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 0) + (-108)\/(-3). Suppose 3*c + 2*x = -0*x + w, -3*c = 5*x - 24. Let r be 2*1*(-21)\/(-6). Solve 4*v - r - c = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p + 34*p + 22 = 0. Let n(c) = -c + 1. Let o be n(-2). What is the third derivative of -29*v**o + v**p + 11*v**2 + 23*v**3 wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3\/11 - 6906*t**2\/11 - 1022992*t\/11 - 2018376\/11 = 0.\nAnswer: -3298, -153, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 189\/2. Factor 0 + 0*f + 1\/2*f**3 + 0*f**2 + m*f**4.\nAnswer: f**3*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 8*w**2 + 6*w + 3. Let h be x(-7). Let u = h + -7. Suppose -t = -3*b - 71, -u*b - 8 = -b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1676 - (2 + -6 - -5). Suppose 0*l - h = -5*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226806 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/509? (a) 2 (b) 3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 times -14.6418?\nAnswer: 4187.5548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + 6*i**3 - i**2 - 5*i**3 + 3*i + i**4 to r + h*i**2 + a*i**4 + q*i**3 + c*i and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19*u**2 + 11. Let y(p) = -18*p**2 + 10. Let s(c) = 6*y(c) - 5*z(c). Let j(v) = 7*v**2 - 3. Give -11*j(h) - 6*s(h).\nAnswer: h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29544 and 7.1?\nAnswer: 29551.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 108*a**2 + 336*a**2 - 118*a**2 - a**3 - 110*a**2.\nAnswer: -a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -337\/5. Let b = 6.5 - 7.4. Let y = b - -1. What is the nearest to y in 0.1, v, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 3*b - 4. Let v be n(-1). Solve 0*d = -4*d + 3*f + 20, v*d - 15 = -5*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4623 and 2953092.\nAnswer: 67921116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 + 6*k + 6. Let a be r(-5). What is the tens digit of (1311\/a)\/(12\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -11, 2, -1\/44, -5\/4, -38 in decreasing order.\nAnswer: 2, -1\/44, -2\/5, -5\/4, -11, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, 54, 65, 60, 33?\n\"Answer: -g**3 + g**2 + 25*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k - 3 - 3 + 0*k + k. Let t be l(-2). Suppose -3*g + 4*i = -30, -i - 3 = -t. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*r + 1092, 4*r + 3*t - 943 = -65. Let p = r - 112. What are the prime factors of p?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-74)\/(-4) - 7\/(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 15 = 4*d. Suppose -n + 32 = d*n. Let s = 0 - 1. Which is the closest to -11? (a) s (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3492557 divided by 1\nAnswer: 3492557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s + 10. Let c(o) = -3*o - 10. What is 5*c(w) + 4*d(w)?\nAnswer: w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 s when four letters picked without replacement from uussuss?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108475.\nAnswer: 5, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4959 by -21.\nAnswer: 1653\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -28022\nAnswer: -560.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 9, -13, -0.05?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*t + 57 - 327 = 0, 5*m - 240 = 4*t. Let h be m\/(-8) + (-24)\/(-4). Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 69?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407962 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s + 5 = 5*f, 0 = 4*s - 3*f + 20. Sort 5, -2, -4, s.\nAnswer: s, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Let y = -7 - -10. Suppose 0 = 4*a + 2*s - s + y, -2*a - 4*s + 16 = 0. Let t(i) be the first derivative of -i**3\/3 - 2*i - 36. Give a*l(u) - t(u).\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 4*h**2 + 3*h**2)*(-6*h + 76*h**2 + 3*h**3 - 76*h**2).\nAnswer: 12*h**5 - 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.05694018+-20087510\nAnswer: -20087510.05694018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 3*g - 3*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-11)*q*q\/(q\/(q\/(q\/(q\/(q*q**(-10\/3))*q)))))\/(((q**2*q*q*q)\/q)\/(q*q*q**4)) assuming q is positive.\nAnswer: q**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 725, -0.2, 2, -1\/7 in descending order.\nAnswer: 725, 2, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-184)\/161 + ((-5060)\/56)\/11.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1862906748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113323 - -100?\nAnswer: -113223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*z**2 + 640*z**2 + 1770*z**2.\nAnswer: 2632*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.87 + -9.17. Let r = p + 8.300207. Round r to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013059 to seven dps.\nAnswer: -0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 5811 (c) -2 (d) -0.5 (e) -3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/(-168)*7\/(-70)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 64, -3, -5 in decreasing order.\nAnswer: 64, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*a = 45*a - 4665. Find the third derivative of -4*d**4 + 943*d**5 + 33*d**2 - a*d**5 + 0 + 0 wrt d.\nAnswer: 600*d**2 - 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f\/(f**6*f)*(f**(-1\/3))**10)\/((f*f**(1\/3))**(14\/3)*f*f\/(f\/f**(4\/9))*f**(-4)) assuming f is positive.\nAnswer: f**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49808 - 49808 - 3*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**6\/z)))\/z)\/(z\/(((z\/(z**(-8)*z))\/z)\/z*z))*z**0*z**(1\/2)*z**9*z*z**(-3\/2)*(z**(2\/5))**20 assuming z is positive.\nAnswer: z**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -602 - -702. Suppose 0 = -2*k - 3*k + 240. Let u = n - k. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-622*i - 3264 + 3264)*(-2 - 1 + 2)*(-2 + 1 + 3) to the form q*i + o and give q.\nAnswer: 1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 239.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3529485106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46 - 31*k**3 - 46 + 1 - 1 - 2*k**3 + (2*k**2 + k - k)*(-1 - 2*k + 1) - 1 + 1 + 2*k**3.\nAnswer: -35*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 5. Suppose -27 = 2*p + 3*k - 67, -4*k + f = p. Calculate the remainder when 33 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/60 - p**4\/8 + 77*p**2. Calculate c(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 6*c - 7. Let q be l(7). Let u(z) = 8 - z + 4*z**2 + 11 - 3*z**2 + 0*z**2. What is the remainder when 55 is divided by u(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 1\/2*p**3 + 0 - 203*p + 0*p**2. Let l(r) = 16*r**2. Determine m(l(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most as big as -530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -12. Let u be i\/12*-2*-2. What is the derivative of -3*l**u + 4 + 2*l**3 - 6 wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19550 divided by -14.\nAnswer: 9775\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/(-16) + (-4)\/(-16). Let f(l) = l**3 + 2*l**2 - 3*l + 4. Let k be f(v). Let u be (-12)\/24 + (-26)\/k. Is u at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - 15. Suppose -71 = -n*k + 34. Suppose -10*l = -6*l - 240. Calculate the remainder when l is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.69*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 - -2)\/(-2)*(-2)\/(-4). Is b\/(-24) + 105\/18 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1554 or -1931?\nAnswer: -1554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1283256, 1283257, 1283258, 1283259, 1283260?\nAnswer: 1283261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 3611?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85666 and 928.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93 times 2813?\nAnswer: -2616.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1221 - 1217. What is the second smallest value in 1\/7, -4, -43, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*n - 4*n - 175, -2*n = -3*s + 134. Calculate the remainder when s is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -3) + -12 + 5 + 2 + (4 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -174, -175, -172, -159, -130, -79, 0?\n\"Answer: s**3 - 4*s**2 + 4*s - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {t: 4, e: 3, y: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 40 + 62 = 0. Which is the nearest to 2? (a) 5 (b) k (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 125843524*i**3 + 264408260*i**2 + 25763913*i + 642978 = 0. Calculate i.\nAnswer: -2, -567\/11218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 141. Suppose 5*g + 144 = 3*t, -2*g + 3*g = -2*t + d. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25728 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*m - 2*m + 6, -20 = 2*u + 4*m. Let k(z) = -4*z + 5. Let t(q) = -8*q + 10. Determine u*t(h) - 7*k(h).\nAnswer: -4*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164119167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-81) - 1*(-66)\/225. Which is smaller: n or 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 3 - 0) + -517. Let g = -275 - d. Suppose 0*z + g = 5*z. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45129 is divided by 9025.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.168 times 2?\nAnswer: -20.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0) + 2*-2. Let s = 91 + -78. Let q = s + h. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 bigger than -3634\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = 9. Let g(w) = w**2 - 3*w - 2. Let j be g(4). Suppose 5*o + 130*u = 132*u - 11, 4*u - 34 = -2*o. Solve -o + r = j*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 269654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -354 + 4?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1. Let n(y) = -2*y - 26. Give -10*a(t) + n(t).\nAnswer: -2*t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3548907 is divided by 1182966.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69018.6 years to months.\nAnswer: 828223.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*-4 + (4 - -1). Let q(w) = -20*w**2 - 9*w + 3. Let z(a) = 39*a**2 + 17*a - 7. Let h(f) = n*z(f) + 7*q(f). Find the second derivative of h(m) wrt m.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-30)*4\/24)\/((-5)\/3).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + j**2 + 50*j + 194. What is v(-4)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 0.0148, -1\/4, 0.5, 2\/3, -19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a - a**5 + (2*a - 2*a - a**4)*(2*a - a - 3*a) + (-2*a**2 + 2*a**2 - 2*a**2)*(-2*a**2 + 2*a**3 + 2*a**2).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 53\/7 - 120\/210. Suppose -b*x + 460 = -3*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.29 - 34.29. Let m = 2.7 - 3. Let k = 0.1 - -1.9. Which is the closest to k? (a) 0.1 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = q - 9, -171*f - 3*q - 23 = -173*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m. Let y(v) = -380*v**2 - 874*v**2 - 746*v**2 + 378*v**2 - 1063*v**2. Give j(y(g)).\nAnswer: 13425*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.158181 days to minutes.\nAnswer: 8867.78064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.2082mm to meters.\nAnswer: 0.1762082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18759*-3.\nAnswer: -0.56277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3 + 4156*h**2 + 12000*h - 447552 = 0.\nAnswer: -1036, -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4488, 5, -3, 1, -4, 45, -5 in descending order.\nAnswer: 45, 5, 1, -3, -4, -5, -4488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*h**3 + 322*h**3 + 287*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 1, -2*n = -3*w + 119. Let l be n\/(-18) + 2\/(-9). Suppose -l*v + 12 = v. Solve -v*f - 23 = 5*m, 2*m = 4*f - 0 - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**2 + 5*g + 1. Let a be 85\/35 - ((-9)\/7)\/(-3). Let u(y) = -4 + 2*y + 2 - 4*y**2 + a*y + 3. Suppose -4*o - 6 = 14. Calculate o*l(i) + 6*u(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6 and -17\/354?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 3*c - 20, -2*a = -3*c - 68. Let z be -3 + ((-144)\/(-1) - 1). What is the highest common divisor of z and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 2187.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40\/31, 7\/2, 2\/3, -2, 0 in increasing order.\nAnswer: -2, -40\/31, 0, 2\/3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 + 786*t\/13 - 26120.\nAnswer: 2*(t - 260)*(t + 653)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (422\/1477)\/(8\/(-1008)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 5. Let t(y) be the first derivative of y**3\/3 + y**2\/2 + 79. What is t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858333923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 843074, 1686356, 2529638, 3372920?\n\"Answer: 843282*p - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3080\/280)\/(((-2)\/(-5))\/((-8)\/10))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1155 and 916.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - t**2 - 6*t**4 - 315*t**2 + 2*t + 29*t**2 + 1 + t**3 + 5*t**4 to the form z*t**4 + r*t**2 + y + i*t + o*t**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 + -4)) + (-11 - -1) - 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c. Let i(q) = 6*q. Let z(r) = -13*i(r) + 6*t(r). Let m(g) = 5*g**2. Calculate m(z(s)).\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 415 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355225582.\nAnswer: 2, 29, 293, 20903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 455 - 301. What is the common denominator of (-63)\/z + (-2)\/8 and 45\/68?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1163422 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q**2 - 2*q - 22. Let h be a(5). Suppose 0 = 339*l - h*l + 15148. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 6*p - 6. Let l(w) = 6*w**2 + 12*w - 13. Calculate -6*l(r) + 13*y(r).\nAnswer: 3*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0 - -2632) + (-12)\/(-3). Suppose 0 = 10*q + 686 - j. Is q a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.07, 38, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 94*31 - 42\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - (-107 + -11)) + 4 + 19?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(21)\/(sqrt(49)\/sqrt(7)) + sqrt(3) + sqrt(3)*-2 + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 10) to base 13.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 3*q, -2*g = 3*q - 21. Let h = -3 - -3. Solve -3*n = 4*t - 1 + 2, 5*n - g*t + 21 = h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, 3 in decreasing order.\nAnswer: 18, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8864537.\nAnswer: 11, 805867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**4\/12 + 3*k**3\/2 - 6*k**2 + 225*k. Calculate x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icd when three letters picked without replacement from {c: 1, d: 2, q: 1, j: 2, i: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 1958.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.615 + 260.615. Let r = z + -262. What is the third smallest value in -5, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 24 - 257 = -3*n, 0 = 3*m - 2*n - 389. Suppose 0 = m*c - 129*c - 540. Calculate the highest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*w = -8, -2*d - 120 = -w - 123 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1191 + 384. Let z = -44 - b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6072\/528 + 2310\/(-156) + 3.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**2 + 0*k + 0 + 1\/24*k**4 + 0*k**3. Let j(r) = -r. Give i(j(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27ab (base 13) to base 11\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/4 in -2, -24\/23, 0.18, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*1 + 45\/(-18)*-6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:56 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.50457 millennia?\nAnswer: 6504.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194274 is divided by 160?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 6, a: 8, i: 2}. What is prob of sequence oo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/12)\/(2\/(-4)). Put 2, 0, d, 4 in decreasing order.\nAnswer: 4, 2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18608 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -15*o + 110. Let l(c) = -29*c + 217. Let d(a) = -5*g(a) + 2*l(a). Calculate the smallest common multiple of 55 and d(8).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99750 divided by -33250.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 17288*w - 103765. Determine r(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -42853, 222 in ascending order.\nAnswer: -42853, -5, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufqqcmzfc. What is prob of sequence fm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*n + 63 = -69*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:46 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -62, -61\/81 in decreasing order.\nAnswer: -61\/81, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (3 - (4 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = 2*n, 0 = -10*q + 6*q - n + 7. Solve 5*j - 2*k - 10 + 34 = 0, 2*j + 14 = q*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749 = 10*i - 1281. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4528 + -0.0528. What is the third smallest value in 0.5, 1, n, -16, 21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*q + 1 + 7, -2*q - 6 = h. Suppose 0 = 2*l + 3*u + 4 - h, 2*l = 2*u - 2. Let r = 3.8 - 4. Which is the closest to r? (a) -0.1 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.173085 litres to millilitres.\nAnswer: 4173.085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743345282 to the power of 1\/2, to the nearest integer?\nAnswer: 52377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*o - 116*o - 16 = 0. Which is the smallest value? (a) -0.07 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 14.4. Let m = -0.4 - t. Let c = 615 + -616. Sort m, c, -4.\nAnswer: -4, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*((-24)\/30)\/((-20)\/1550)*-1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 4426.\nAnswer: 4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 0.5 (c) 5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by 37.\nAnswer: -608\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3037\/1050 + 48\/175. Let b = -1\/2364 + 24233\/4728. Calculate the common denominator of b and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 4*l - 2. Let r be b(-5). Suppose r*d - 18 = d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(-29)\/j*j*j*j))*j**(2\/5))\/(j**(-13))**37 assuming j is positive.\nAnswer: j**(2277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + (27 - 12 - 7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/165)\/(39\/(-65))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*g + 13 = 4, -4*d - g = 8. Let k be 2\/(-3) - d - (-2580)\/36. Suppose -2142 = -9*r - k. What are the prime factors of r?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 66*z**2 + 67*z - 67. Calculate the smallest common multiple of o(1) and 7.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7999, -16188, -24373, -32548, -40707, -48844, -56953, -65028?\nAnswer: -73063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 19)\/(-2 + 1). Suppose -9*c - x = -133. What is the greatest common divisor of c and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5421 + -130?\nAnswer: -5551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 67121 - 39?\nAnswer: 67093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -17 + 20. Let m be (c - 4)\/((-6)\/12). Sort m, 4, -4 in increasing order.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 16 - 21*r - 15*r + 62*r - 24*r. List the prime factors of m(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-18) - ((-111)\/148 + 14\/24). Solve 5*n + 0*n - 4*z - t = 0, 0 = 2*n - 5*z - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 4:22 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h - 27*h**5 - 11*h + 33*h)*(-3 + 4 - 3).\nAnswer: 54*h**5 - 22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44081201447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 + 389 = 2*s. Let r = s - 81. Suppose 5*k - r - 33 = 0. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -3 (b) -4997 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 3*z - 2. Let f(m) be the first derivative of m**4\/2 - 5*m**2 + 7*m - 38. Give -7*c(v) - 2*f(v).\nAnswer: 3*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 62700*b + 1000. Let a be q(20). Round a to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 17*p - 8. Give x(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 414066 (base 7) to base 13\nAnswer: 26454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in 2, -1\/3, -0.4, -56\/3?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 20*o - 21*o + 1, -14 = -3*l + o. Suppose 2*y = -0*y + 3*h + 107, 0 = 5*y - l*h - 245. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056 minus 6967745?\nAnswer: -6967744.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**4 + t**3 - t**2 + t + 1. Let w(m) = -3*m**5 - 33*m**4 - 3*m**3 + 213*m**2 - 282*m + 114. Let d(k) = -6*f(k) + w(k). Factor d(i).\nAnswer: -3*(i - 1)**3*(i + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1)*-2 - 0. Let b(r) = r**2 + 36*r - 308. Let i be b(34). Suppose 4*d + 993 = -v*u + 9317, d - i = 4*u. What is d rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 9:06 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.7 + -20. Let s = 2.6 + n. Let z = -0.8 + s. Which is the third smallest value? (a) 4 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/6 + 649*i**4\/2 - 317517*i**3\/2 + 4714205*i**2\/6 = 0.\nAnswer: 0, 5, 971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1062013971?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 + u. Suppose -b = 2*z + 12, z - 5*b - 6 = 10. Let w be (2 - 3)\/(-3 - z). Let c be q(w). Solve -c*k + 4 = 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 28. Let i = 28 - j. Let b = i + -17.00000045. What is b rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58403 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 199829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 91\/5 + -4 + (-1)\/5. Suppose 13*n - x*n = -413. What are the prime factors of n?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5 + 420*j**4 + 828*j**3 - 3362*j**2 - 7533*j - 3762 = 0.\nAnswer: -418, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -5*t**6\/6 - 3*t**5 + 15*t**4\/4 + 55*t**3\/3 + 15*t**2 + 1616. Let a(u) = 0. What is u?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 5*y = -33, -5*a - 2*y - 27 = -47 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -496427 or -496437?\nAnswer: -496427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46158294?\nAnswer: 2, 3, 7, 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -366?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65151 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + z = -62, -i - 101*z + 99*z - 124 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2991*c - 152. List the prime factors of a(1).\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 4) + -2 + -4 + (12 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665 divided by 1?\nAnswer: 4665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4302 less than 0.0668?\nAnswer: 4302.0668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5128 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmjm. Give prob of sequence mm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 6, f: 2, d: 1, t: 4}. Give prob of picking 1 d, 1 q, and 1 f.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2264888812 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 36*y - 53*y - 71*y - 3*y**2 + 163*y.\nAnswer: -3*y**2 + 3*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -3\/26, 0.25, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -11*b**4\/24 - 11*b**2. Let k(z) = 2*z. Calculate s(k(h)).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:05 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31919*o + 13 - 13.\nAnswer: 31919*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*c - 60 = c, -4*j + 108 = -4*c. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 2, 14\/5, -76?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 22.17922t?\nAnswer: 22179220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (497\/14 - 33)*448\/20?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5))**(-45)\/((z*z*z\/(z\/(z*z*z**(3\/4))))\/z**15))**36 assuming z is positive.\nAnswer: z**8469","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270717*g**2*l**2 - 12*g*l**2 + g*l - g + 11*l**2 + 2*l wrt g?\nAnswer: 541434*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8 - 3*q + 2 + 0*q - 12. What is the remainder when 6 is divided by j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 8*f + 7. Let r be ((-50)\/(-8))\/((5\/(-40))\/(-1)). Suppose 0 = -46*k + r*k - 24. What is j(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 a when four letters picked without replacement from {a: 6, t: 3, x: 2, q: 5, e: 3, p: 1}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11046\/34190)\/((-28)\/(-200))?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(-1 + (sqrt(363) - (sqrt(363) + -2)) + 2 + -1 + sqrt(363))**2 + -3)*1.\nAnswer: -1470 - 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -294, -463, -680, -951, -1282, -1679, -2148?\nAnswer: -2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -68. Let q be (s\/8)\/((-3)\/(-2)). Which is the smallest value? (a) -4 (b) 0.2 (c) q (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*r = 277, 362 = 5*j + 2*r - 93. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*p - 10*p - 1287. Let z be (2 - -1 - 2) + 3. Suppose z*a - p - 65 = -5*g, 2 = -g. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165331235?\nAnswer: 5, 1237, 26731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-6 + 5 + 2). Suppose p*f + q - 2*q = 916, -1852 = -4*f - 3*q. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 15, 1, 3 in decreasing order.\nAnswer: 16, 15, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2085669 by -5.\nAnswer: -2085669\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 35. Factor 14*b**3 + y*b**2 + 8*b + 11*b - 17*b + 6*b**4.\nAnswer: 2*b*(b + 1)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -102*x**2 - 316*x + 7. Determine j(2).\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 22*u**3 + 48*u**2.\nAnswer: 2*u**2*(u + 3)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 2.9\nAnswer: -43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from tttnnnttiitttiit.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 14 + 6. Let b(o) be the first derivative of -6\/5*o**5 - 2*o**l + 2\/3*o**3 + 2 + 2*o**4 + 0*o. Determine v so that b(v) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1182 and 4250078?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 7*g + 72. Let l = -11 - g. Let y = l + -4. Is 3 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664103 to the power of 1\/2, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 45*t + 164 = 2*n, 0 = 2*t + 8. What is the smallest common multiple of 30 and n?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(2 - 1 + 0)*(0*x**5 + 0*x**5 + x**5).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n - 749*n**2 + n + 5 + 744*n**2. Let s(w) = -w**2 + w + 1. What is -k(l) + 6*s(l)?\nAnswer: -l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 526780 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 438 (b) -2\/7 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 + 175. Suppose 0 = -9*x + 81 + d. Calculate the greatest common divisor of x and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4997 divided by -4668\nAnswer: -4997\/4668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217698167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 2. Let a(v) = -v - 3. Let f(l) = -2*a(l) - 5*b(l). Let x(y) = -2*y + 0 + 0*y - 2. What is -3*f(c) + 5*x(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 400\/336*((-468)\/65)\/(-12)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422739999 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 3:42 AM and 11:43 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/3 + 65*b**4\/3 - 1147*b**3\/3 + 961*b**2.\nAnswer: -b**2*(b - 31)**2*(b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 4*b, b + h = -2*h + 18. Let d be 38*3\/b + 4 + -4. Let y be (-1)\/((4\/380)\/(-1)). Calculate the greatest common factor of y and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 610?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.476 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4058?\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 175, 266, 343, 400, 431?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5106 is divided by 1273?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((-13 - 3) + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, 0.3, 0.066 in descending order.\nAnswer: 3, 0.3, 1\/4, 0.066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74662, -74668, -74684, -74716, -74770?\nAnswer: -74852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/49, -246, 0.09.\nAnswer: -246, 0.09, 6\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -3304.24534.\nAnswer: -3304.64534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svttbstbpkbbbvsvb. Give prob of sequence ktbt.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5*f**2 + 6)*(43 + 27*f - 43).\nAnswer: -135*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(45)\/(sqrt(27)\/sqrt(3)) + sqrt(5))*6 - ((sqrt(80)\/sqrt(4))\/sqrt(4) + 5))**2.\nAnswer: -170*sqrt(5) + 1470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 129, -2 in decreasing order.\nAnswer: 129, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2340*v - 27420. Give x(10).\nAnswer: -4020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.776 - -3.84. Let k = 0.9360681 + y. Round k to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4 + 5576*m**3 - 297681*m**2 + 3690256*m - 13329472 = 0.\nAnswer: -5629, 8, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666903 is divided by 222293?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 10329928?\nAnswer: -5164964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-516)\/1462*(-1)\/3.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*f + 106 + 1345 = 191. Solve -3*q + 3*r - 19 = r, 2*r = f*q + 25 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1040*f**2*p**2*x + 2*f**2*p**2 + 8*f**2 + 14*p with respect to x.\nAnswer: 1040*f**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(75) - 2*sqrt(75)*-2 - sqrt(75)) + 5*(sqrt(75)*2 + sqrt(75))))**2 + -1.\nAnswer: 108299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + 3. Suppose -2*v + 4*o + 72 + b = 0, -216 = -4*v - 3*o. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from aaaakkakaaakk?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2306 times 0.04\nAnswer: 92.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Let w be -1 + (6 - 1) - 2. Let o be (0 - (-4)\/w)*a. What is the greatest common divisor of o and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*s**5 - 11919*s**4*x**2 + 88*s**2*x**2 + 1017*s**2*x wrt s.\nAnswer: 3900*s**2 - 286056*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + k. Let l be z(1). Let g = 24 + -24. Put g, l, -1\/5 in decreasing order.\nAnswer: g, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, d: 1, p: 7, z: 3}. What is prob of sequence pdmm?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41281769 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 230808*v**2 + 13319006400*v + 106537280000.\nAnswer: (v + 8)*(v + 115400)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/108657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5 + 18*q**4 - 3598*q**3 - 71442*q**2 - 322420*q = 0. Calculate q.\nAnswer: -35, -14, -7, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:23 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.451 * -0.74.\nAnswer: -28.45374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14110 and 5573450?\nAnswer: 5573450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 + x**2 + x - 2. Let t be n(1). What is the second derivative of 7*u + 4*u**4 + t*u + 15*u**4 - 2*u**4 wrt u?\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqqquqqkququuqqkqq. What is prob of sequence uqqu?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 8:13 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -494 - -508. Let o = k - 131\/14. What is the common denominator of 4\/(-10)*(-700)\/12 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/4 + 1\/12. Let q be 1\/(-9*22\/(-297)). Sort 0.4, m, -1, q in increasing order.\nAnswer: -1, m, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rreueeeeeeueuuer. Give prob of picking 2 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -641 - -644. Solve -3*g + 27 = 3*m, -h*g + 7 + 4 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4099 is divided by 91.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 321941*q**2 - 907830 wrt q?\nAnswer: 643882*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.264463206 to 5 dps.\nAnswer: 0.26446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 12. Let g be n(-7). Suppose -w + 472 = 2*i, 0 = 5*i - g*w + 3*w - 1174. Suppose 3*p = 3*z + i, -4*p + 296 + 61 = 5*z. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.103, 1.4, -2\/9, 15, 3, -5 in decreasing order.\nAnswer: 15, 3, 1.4, 0.103, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -v*q - 3*q + 10 = 0. Suppose 0 = j - u + 5 - 13, -4*j - 2*u = -14. Solve t + q = -j*h, -5*t - 4 = -h + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 26 = c, u = -5*c - 26 - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*b + 100*b + 12 - 40 - 8 = 4*c, -4*c = -14*b + 76 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3345015 is divided by 371668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4)**(-30)\/((j\/(j*j\/(j\/(j\/(j\/(j\/(j*j**26)))*j*j)))*j)\/j**(-5)) assuming j is positive.\nAnswer: j**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2365383713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130815, -261257, -391723, -522225, -652775, -783385, -914067?\nAnswer: -1044833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-2) - (-2)\/(-4). Suppose -c - 5 = -m, 5*c - 3*m + 15 = o*c. Solve -2 = -c*z - 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331a7 (base 13) to base 14\nAnswer: -25a4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*m + 69*m - 20, 0 = -5*r + 5*m + 5380. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = -x - 5, 6 = -2*x. Let a = b - 3. Suppose 3*i + 3*v = 291, 0 = -a*i + 4*i - 4*v - 194. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1134 or 377666?\nAnswer: 377666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyvvpvywyqk. What is prob of picking 1 v, 1 k, and 1 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 319323283 a multiple of 1166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1972 divided by 4\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 3. Let z be j(9). Let p be -3 + 2 - z\/2. Suppose -5*r - 45 = -p*t + 25, 0 = t + 2*r - 17. What is the highest common factor of 100 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 137556, 137614, 137680, 137754?\n\"Answer: 4*x**2 + 46*x + 137506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(-1)*-12*17\/204\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.051 and 176970850946?\nAnswer: 176970850948.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11001101000?\nAnswer: -11001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 + 530 = -31*c + 246 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-2 - (-28 + 12 - 6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 4. Suppose -i = -5*i - 36. Let n = 4 + i. Determine t(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1160 + 1166. Put 1, h, -5, -2 in ascending order.\nAnswer: -5, -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2)*4 + (sqrt(176)\/sqrt(4) - sqrt(44)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*g - 47*g**3 - 50*g - 46*g + 197*g - 52*g.\nAnswer: -47*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.134242 + -0.309158. Let t = 42.9434 + -42.9. Let p = g + t. Round p to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5 + 3. Suppose -3*s + i*m = -8, 0 = -2*s + 4*m + 1 + 3. Let k = 46 - 31. Solve 0 = -9*t + s*t - k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1680 - 1512. What is the remainder when 180 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**6 - 109*g**5*p**3 - 8*g**2*p**3 - g**2*p**2 - 44*g*p**3 - g wrt g.\nAnswer: -120*g**3 - 6540*g**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5291 = -114*x + 103*x. List the prime factors of x.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 4, b: 2, m: 5, a: 2}. What is prob of picking 1 j and 1 b?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 308546383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1642.884 litres?\nAnswer: 1642884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -17 + 2 + 3 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -5)*3\/(45\/(-3)). Which is smaller: s or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -38. Let p = 1457\/782 - 53\/34. Let m = p - 72\/161. Which is the third smallest value? (a) m (b) 1\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2214 and 9\/20?\nAnswer: 22140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -11304?\nAnswer: 11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -790 divided by 60.\nAnswer: -79\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 6 - 10. Suppose k*z = -0*z + 24. Let c = 5 + z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -131*t**2 + 25 wrt t?\nAnswer: -262*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446141?\nAnswer: 446141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98417 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 2259929?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.4 + 9. Let g = -7 - x. Which is the smallest value? (a) -2 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5850 + -9923. Let f = p - -6173. What is f rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 m when three letters picked without replacement from memeeexx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-15)*(-1)\/(90\/(-75))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -5*r**4\/4 - 110*r**3\/3 - 605*r**2\/2 + 2379. Factor y(o).\nAnswer: -5*o*(o + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39208914 by -1.\nAnswer: -39208914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 9*z. List the prime factors of f(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11844.00003479 + -11844. Round k to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28636 divided by -4.\nAnswer: 7159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5 + 30*t**4 + 253*t**3 + 420*t**2 + 196*t = 0.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**8\/756 - s**6\/90 + 2*s**5\/135 - 7*s**2\/2 + 20*s. Let v(f) be the first derivative of q(f). Factor v(d).\nAnswer: 4*d**2*(d - 1)**2*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*q + 59*q - 5. Let c be (-3)\/12*0 - 2\/(-4). Sort -5, -0.14, q, c in descending order.\nAnswer: q, c, -0.14, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/20928450 and -17\/170150.\nAnswer: 20928450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -19*v**6\/120 + v**5\/60 + 23*v**3\/3 + 57*v**2 - 2*v. Differentiate w(t) wrt t.\nAnswer: -57*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/279288 and 73\/1520568.\nAnswer: 13685112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236 - 216. Suppose 238 = -3*q + f*q. Suppose -k + 115 = 4*k. Calculate the remainder when k is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:43 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4323*g = 3*y - 4322*g - 17, -4*y + 6*g = 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 2653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(60\/(160\/16) - 66\/10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - x**3 - 154*x + 154*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2\/4 - 4821*h\/2 - 9639\/4 = 0.\nAnswer: -3213, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 108, 363, 854, 1659?\nAnswer: 2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 18. Let a = 11 - 15. Put 3, d, a in descending order.\nAnswer: d, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -53 and 1.8.\nAnswer: -51.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209 and 171532?\nAnswer: 1886852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.37?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 2)\/((-2)\/1). Let p be (10\/(-4))\/(((-3)\/2)\/3). What is the nearest to p in v, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-675)\/(-40) + 1\/8. Solve -5*v - b = -f, -5*v = -b - 7 - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*v, -6*v = 5*h - v + 5. Let i be 8\/h + (-5)\/(-15). Solve -2 + 14 = i*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 176, 318, 496, 710, 960, 1246?\nAnswer: 1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -451*k + 1364. Let y be l(3). Let z(m) = -5*m + 44. Determine z(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.6 - -10.8. What is the closest to -0.14 in 5, r, 3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 55389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.045 not equal to -303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 85*q**2 + 97*q - 440. What is v(40)?\nAnswer: -4560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + ((sqrt(637) + sqrt(637) + sqrt(637)*-2)**2 + sqrt(637) - sqrt(637)) - ((sqrt(13) + (sqrt(13) - (sqrt(13) + -1)))*6 - sqrt(13))**2.\nAnswer: -361 - 53*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/6 - 3*c**2 + 15*c. Let u be a(-12). Solve u = 3*r + 4*q + 29, -2*r + 3*q + 13 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206345 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let p(k) = 119*k - 17687. Determine p(r(b)).\nAnswer: 119*b**2 - 17687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 318, 96, -396, -1290, -2718, -4812?\n\"Answer: -22*x**3 - 3*x**2 - 59*x + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 444 and 9657?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103\/68 + -30\/17. Which is the second biggest value? (a) p (b) 3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 - 78 + 47)*(0 + 3 - 2)*((-3 + 3 - 2*x)*(4 + 0 + 2) + 5*x - 3*x - x - 3*x + 0*x + 5*x) to w*x + s and give w.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 6:39 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rab when three letters picked without replacement from abssaofarssf.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3525)\/5*(-53)\/795)\/(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4*p + 3. Let b be d(5). Suppose -3*w + 14 = -7. Let x = b + w. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 681377 and 1076?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 0*p - 12, 5*u - 4*p = 1658. Let h = u - 195. Suppose -2*b + 7 = -h. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f - 22. What is the least common multiple of j(-6) and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 86034 = -27234. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -3, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-12))\/(10\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = 6*x - 5*y + 408, 5*y - 144 = 4*x for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*f**4*h**3 + 3*f**4*h**2 + f**2*h**2 + 21*h**3 wrt f?\nAnswer: -1176*f*h**3 + 72*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let j(y) = 3*y**2 - 18*y + 24. Suppose -21*d = -25*d + 16. Let o be j(d). Put o, q, -6, 3 in decreasing order.\nAnswer: 3, o, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) 221982 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -3\/4 (b) -9 (c) 3 (d) -1\/4361 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9023 - -8460.9. Let c = p - -536. Let s = c + 26.10000141. Round s to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(80) + sqrt(80) + -2 - sqrt(80) - sqrt(80)) + (2 + sqrt(80) + sqrt(80))*1)*-2*3)**2.\nAnswer: -1152*sqrt(5) + 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 279 or -4\/7?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2403 = -271*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/12)\/((-2)\/((-48)\/40))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -18. Let u be (2\/(-10))\/((-32)\/1440). Suppose -v - 1 = 2*k, 2*v + u + 9 = 4*k. What is the nearest to -2\/7 in -3\/4, b, k?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 - 10112112000220?\nAnswer: -10112112002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 5*k + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 4*p**2 + 3*p + 1. Let o be a(4). Suppose -5*v - 4*k = -16, -4*v - 6*k + o = -3*k. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457.601 rounded to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(-1*sqrt(363)))\/((-5*sqrt(640)*-1 + sqrt(640) - sqrt(640)) + sqrt(640)).\nAnswer: -sqrt(3)\/528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106545485023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 8*h**2 - 3. Let a be f(8). Let w be -1 + 2\/a*3. What are the prime factors of 40\/3 + w\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/2053205?\nAnswer: 2\/2053205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 20, p + 1 + 4 = -l. Suppose 4*a - 7*a = l. Suppose -9*s + 4*s - 2*n = -30, a = -4*s + n + 24. Solve -s*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3675, -3677, -3677, -3675, -3671, -3665, -3657?\nAnswer: -3647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 14*a**4 - 10*a**3 + 0*a - 6*a**4 + 15*a**4 as v*a**4 + k*a**2 + b + r*a**3 + d*a and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 541*o**5 + 128 + 391*o**5 - o**4 + 1191*o**5 - 2*o**2 - 2*o wrt o.\nAnswer: 127380*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/19 + 696*r**2\/19 - 694*r\/19 = 0. Calculate r.\nAnswer: 0, 1, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, a: 7, d: 4, h: 2, f: 1}. Give prob of sequence nd.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/14 + 28\/(-98). Is 10 a factor of -12*(-2)\/3 + k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r**2 + 34*r + 46. Let n(l) = -l**2 + 3*l. Calculate 22*n(q) - 2*w(q).\nAnswer: -6*q**2 - 2*q - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 216*q**2*v**3 + 3*q**2*v + 98*q**2 - q*v**2 - 8971*q wrt v.\nAnswer: 648*q**2*v**2 + 3*q**2 - 2*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p**2 + 10*p - 72. Determine z(-5).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 0 - 144*d + 126*d**2 - 2\/3*d**4 + 2\/3*d**5 - 30*d**3 = 0.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304646631827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - q - 57, -18 = -2*c + 2*q. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 11*d**2. Suppose 2*h + 7*v + 12 = 4*v, 0 = 4*h - 4*v + 44. Let b(o) = o**3 - 5*o**2. Calculate h*b(u) - 4*g(u).\nAnswer: -u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9*2*-6. Let j = r - 2. Solve -4*p + 16 = 4*o, 4*p - p = -o + j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7052 - 7049. Calculate the lowest common multiple of 405 and b.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*u + 11*u - 16 + 13)*(82*u**2 + 136*u**2 + 8*u**2 + 6*u**2) in the form l*u**2 + h + x*u + z*u**3 and give l.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 31358602.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*b - 16 = -75*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**4\/2 - 8*c**3\/3 + c**2\/2 + 3*c + 329. Give k(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**5 + 6360*w**4 + 56945*w**3 + 138930*w**2 - 160*w - 202080 = 0?\nAnswer: -1263, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f + 25*f - 523 = 345 + 3240 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 547 = 3*v + 290 + 290, 4*v - j + 35 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 4*u**2 - 2*u + 6. Let c be g(4). What is the tens digit of 3*c - -4 - -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 3 (c) 568 (d) -0.5 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*y + 3 + 5, -4*s + 16 = 5*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/8 - -21\/8. Let -1\/2 - 1\/2*q**3 - 3\/2*q**2 - o*q = 0. Calculate q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*d**3 - 81*d**3 + 66*d**3.\nAnswer: -126*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1335515664 - -116409.\nAnswer: 1335632073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -1, -2\/191?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-9))\/(-21) + 0 + 12\/44?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 449 or 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*d - 8 = 0, 5*l = -d + 6*d + 10. Suppose 10 = 4*u - l*i, -4*i + 0*i = 4*u - 40. Do u and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, v: 3, w: 2, y: 6}. Give prob of sequence vvy.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 21*g = 2632. Let l = g + -157. Solve 4*h = -5*d + l, 3*d + 7 = 4*h - 0*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386 + 74 = -4*d. Calculate the greatest common factor of 26 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 0, 4, 37 in ascending order.\nAnswer: -1.1, 0, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 2)*(1376 + 30*m - 1376)*(2*m - 2*m + 2*m**3) in the form h + z*m**3 + i*m**4 + a*m + l*m**2 and give i.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10592.3 + 10592. Suppose 7*x - 6*x - 4 = 0. What is the nearest to 52 in -1, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 4. Let q be m(2). Let v(r) = 2*r. Let t be v(-9). Let i = -10 - t. Solve -4*w - w + 10 = q*o, -4*w = o - i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*q + 5156*n**3 + 1102*n**2*q + 107578*n*q - n + 11*q + 6 wrt n.\nAnswer: -12*n*q + 30936*n + 2204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29*54\/(-22707)*(-58)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfryypeyvvepeyfyeeee. Give prob of picking 2 v and 1 e.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 72*o**2 - 85*o - 2. What is l(3)?\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.252 - 7.252. Put -0.3, c, -11\/7 in increasing order.\nAnswer: c, -11\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (1 - -2))\/2. Suppose 6*y - 225 + 33 = t. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -1. Suppose 0 = -x*u - q + 5, -u + 3 = 3*q + 2. List the prime factors of u\/(-4) + 648\/32.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11819543283 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 59. Let y(q) = -q - 15. Calculate -6*a(r) - 22*y(r).\nAnswer: -2*r - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 - (-684)\/324. Let w = q - -4\/9. Which is smaller: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 - -75320?\nAnswer: 752aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 2. Let g be (x\/10)\/(4\/(-10)). Which is the second smallest value? (a) g (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3265344 and 1152.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 387 = -v + 2*n, 2*n = -5*v + 1476. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7045 is divided by 76.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -146, -1 in increasing order.\nAnswer: -146, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = 2. Let l(x) = -x**2 + 3*x + 3. Let i be l(4). Let v be ((-4)\/4)\/(i\/2). What is the greatest common divisor of v and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.5. Let f be 3\/15*-2*1. Which is the closest to f? (a) k (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 1760*l**3 + 134310*l**2 - 3620320*l + 21156245.\nAnswer: 5*(l - 11)**2*(l + 187)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/122152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**(-23)\/(h**4\/((h*h**(-1))\/h)) assuming h is positive.\nAnswer: h**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -482279*r**3 - 210087 wrt r?\nAnswer: -1446837*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r + 16 - 48 = 22. Let l(u) = -u. Let y(g) = 3*g - 9. Let v(b) = 4*l(b) + y(b). Let s be v(-9). Sort r, s, 4, 5.\nAnswer: s, r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**4\/24 + k**3\/3 + k**2. Let b(c) = 2*c - 18. Let o be b(12). Let l(q) = -3*q - 7. What is o*l(x) + 21*r(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 83 - 68 = f, -5*n - 45 = 4*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.0300596 + 1.03. What is j rounded to six decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010000 (base 2) to base 5.\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 - 6 = 0. Let g = r - 3. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315ca1 (base 15) to base 7.\nAnswer: 25650604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624327 is divided by 9318?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9072 or 4805?\nAnswer: 9072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341 + 20?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/3 - 227*d**2\/3 - 2146*d\/3 + 5192\/3 = 0. What is d?\nAnswer: -11, 2, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10\/40*(775 - -21) is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 3*m**3 + 625*m**2 - 621*m.\nAnswer: -m*(m - 23)*(m - 1)*(m + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 350271744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*p - 17*p - 23*p)*(-3 + 3 - p + (-p + 3*p + 0*p)*(-1 + 2 + 1) - 2*p + 2 + 4 + 0) as v*p + m + w*p**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a. Let k(s) = -16465*s. Calculate w(k(o)).\nAnswer: 65860*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 490*a + 27 - 16 - 7 to o + j*a and give j.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 88, 152, 252, 394?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 20*m - 1. Give r(3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/(-14) + -3 + 76\/28. Let b(f) = -2*f**3 - 7*f**2 - 16*f - 5. What is the units digit of b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k**(-9)*k)\/k*k)\/k*k**(-7))\/(k**(3\/5))**49)**(-10\/9) assuming k is positive.\nAnswer: k**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.121755 and 4.\nAnswer: -0.48702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105693 divided by 719.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 4 = -p. What is the lowest common multiple of p and 30 + -1 + 2 + 3?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 9:31 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + (-102)\/30)\/(4\/(-30)). Let d(h) = 2*h - 12. Let u(j) = j - 2. Let b(k) = a*u(k) - d(k). What is b(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/8 + 2556045*n\/2 + 92017539\/8 = 0. Calculate n.\nAnswer: -10224171, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443600*c**2 - 15*c - 3870?\nAnswer: 887200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/2310469?\nAnswer: -2\/2310469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2117125865 divided by 423425173.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20900, 41760, 62620, 83480, 104340?\n\"Answer: 20860*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 u when four letters picked without replacement from {u: 7, y: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, a: 2, p: 2, k: 1, t: 2, c: 2}. Give prob of sequence dt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -1, -3, 1, -2 in ascending order.\nAnswer: -3, -2, -1, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrr. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8161 (base 10) to base 16.\nAnswer: 1fe1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0, 1837 in ascending order.\nAnswer: 0, 20, 1837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:59 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1850, 1849, 1848, 1847, 1846?\nAnswer: 1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9)*j*j**(-10)*j**7\/(j*j**(-11)) assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 4*f + 0 + 1 + 19*f**2 wrt f.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.753801 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*c - 23, -2*c - 3*k - 20 = -5*k. Let y(t) = 50*t - 446. Let o be y(9). Suppose h + o = 3*r - 12, -2*h - 2*r = 0. Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -153*s**2\/2 + 129*s + 146. What is the derivative of u(x) wrt x?\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 0 + 0*v**3 + 1\/60*v**5 + 0*v**4 + 3*v + 7\/2*v**2. Let a(l) be the first derivative of d(l). Factor a(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*v + 3, -s + 4*s - 3*v + 3 = 0. Let c be (-2 - s)*(2 - 4). What is the tens digit of (3\/c)\/((-27)\/(-504))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 585054, 1168061, 1751068, 2334075, 2917082, 3500089?\n\"Answer: 583007*u + 2047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24929368 to the nearest integer?\nAnswer: 4993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(144\/(-540))\/((-2)\/(-55)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3281568 + 10*r**3 + 3281568.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - n - 28 = 0, -90*p = -91*p - 59*n - 230 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 1. Let f = -52 + 48. Let i be (f\/10 + 0)\/(2\/(-10)). Let d be 5 - 6 - (-12)\/i. Give w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -177, -167, -153?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(1053) + 4 + 5 + -1 + sqrt(1053) - ((sqrt(1053) + 1)*-2 - -1*(0 + sqrt(1053))))*6.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705208773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 858 = 15*z - 1032. What is the highest common divisor of z and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17109 divided by -3\nAnswer: 5703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23171352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*h = -7, 9*h = -5*f + 14*h + 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-276)\/(-115)*((-117)\/(-585) - (-8)\/(-30)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 33*v**2 + 6*v + 5. Let g be l(-17). Solve -g*b - 12 = -195*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -67, 287, 5 in descending order.\nAnswer: 287, 5, -2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.0879.\nAnswer: -0.02637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9*b + 40 = 0. Suppose 0 = -4*l + m + 2*m - 167, 4*m = b*l + 210. Let i = -36 - l. Solve i*z - 6 = 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484.4052g to milligrams.\nAnswer: 484405.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + (16 - 105) - -32.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 43 - 30)*(-4*n**2 + 2*n**2 + 0*n**2).\nAnswer: -112*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/10)\/(14\/35*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 0.5587.\nAnswer: 3.5587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-40)\/18 - 58\/261. Sort -2, -33, 5, u in descending order.\nAnswer: 5, u, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 3778*h - 55. Calculate j(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x + 3 - 3*x - 2)*(2*x - 2*x + 3*x**3)*(-4 + 1 + 5).\nAnswer: 66*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4288*g**6 + 16262*g**5 + 345149080*g**2 wrt g.\nAnswer: 514560*g**3 + 975720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 9*t**2 + 5*t + 31. Let p be o(8). Suppose 3*r - p = -y, 15 = -6*r + r + 5*y. Solve -3*f + r = -11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3159 and 3897.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (148\/22496)\/((-1)\/(-16))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -380, -2, 2, 57, -4, -20, 0 in decreasing order.\nAnswer: 57, 2, 0, -2, -4, -20, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11419 - 8*h**3 + 10*h**2 + 11419 - 10*h**2.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/3)\/((-18)\/540). Let k be p\/(-375) + (-2)\/(-10). Suppose 0 = -3*m - 11 - 1. What is the third biggest value in 3, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -3\/6985, -3, 12 in increasing order.\nAnswer: -3, -4\/7, -3\/6985, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 374*w - 1432. Let a be r(4). Solve 0 = a*i - 74*i - 70 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in 34.046, -0.5, 0.5, -2\/5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*b = 548*b + 4*h + 12, -3*b - 22 = 2*h for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 84 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 99*x - 78*x. Let w(r) = 4*r**3 + 3*r - 4. Let y(t) = -1. What is x*y(q) + w(q)?\nAnswer: 4*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -376\/3 - -93. Let a = -80\/3 - h. What is the common denominator of ((-38)\/4)\/(99\/88) and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-5*sqrt(2) - sqrt(2))*-5)**2 + -5).\nAnswer: -1795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5989 - 3?\nAnswer: 5986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (32\/12)\/(80\/(-24))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 6:34 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3095, 4, 9.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172869 is divided by 543.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -37*q**2 + q + 2. Let c(m) = 74*m**2 - 2*m - 4. Give 3*c(h) + 7*j(h).\nAnswer: -37*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38763011 is divided by 208?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5128457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5187467290.\nAnswer: 2, 5, 1201, 431929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100 (base 2) in base 13?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 - 31. Let h be (3\/6)\/(-2 + 133\/66). Calculate the highest common divisor of r and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102122002 + 20011?\nAnswer: -102101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*n + 7 = 0, 4*i + 5*n + 0 = 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2))**2 - ((sqrt(3)*2)**2 + 3) - (sqrt(18) + sqrt(216)\/sqrt(48))\/(sqrt(6) - sqrt(108)\/sqrt(2)).\nAnswer: -3 + 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.018 - 33.982. Let t = 32.3 + b. Let q = t + 1.8. Which is smaller: q or 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*a + 4695041*u - 4695047*u, -5*u - 5 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-7896)\/(-112) + -71)*2\/(-3)*-237\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/15 + (-4)\/(-5). Let y be (3 - 2)*(b - -9). Suppose -4*i + 18 + y = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492468141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29988\/378 - ((-5)\/3 - -1). What is the derivative of -4*u**3 + 134 + 4*u**3 - s + 50*u**4 wrt u?\nAnswer: 200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 10*g**5 + 44*g**4 + 66*g**3 + 40*g**2 + 8*g = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 206, -26, -2, 5 in ascending order.\nAnswer: -26, -2, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.78935 and 16.\nAnswer: 16.78935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 42*s - s)*(10 - 5 + 4) - 2*s + 0*s + 5*s.\nAnswer: -366*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 319517203 to the power of 1\/2, to the nearest integer?\nAnswer: 17875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -160*t - 64. Let x be r(-12). Suppose 3*l = -5*s + 1392, -2*s = 4*l - s - x. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 4*c + 3*c)*(1 + 1 - c - 1)*(-4 + 4 - 1) to the form v + u*c + q*c**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -76. Calculate the lowest common multiple of 8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 360\/21*(5 - -2). Suppose -5 = -n - 2, -t = 3*a + 2*n. Let m be 162\/63*a\/(-9). Calculate the greatest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = 64*v - 3580. Solve 75 = 60*q - v*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 51. What is the remainder when 113 is divided by x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 - 199*z**3 + 137 - 137.\nAnswer: -207*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4300130, 8600257, 12900384, 17200511, 21500638?\nAnswer: 25800765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 220.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 52. Which is bigger: 0.26 or a?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/8 + (-61251)\/68)\/(-1). What is the greatest common factor of 34 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/17 + 212*g\/17 - 210\/17.\nAnswer: -2*(g - 105)*(g - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/3 - 63640\/(-27195). Let h(t) be the second derivative of 21*t + 0*t**6 - 4\/21*t**4 + 3\/35*t**5 - q*t**7 + 0*t**2 + 1\/7*t**3 + 0. Factor h(j).\nAnswer: -2*j*(j - 1)**3*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**3 + 7*g**2 - 6*g + 3. Let k(z) = 5*z**3 + 3*z**2 - 4*z + 1. Determine -3*k(n) + 2*o(n).\nAnswer: -5*n**3 + 5*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 56.3. Put 1, a, 1\/4, 5 in increasing order.\nAnswer: 1\/4, a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w - 14. Let n = 28 + w. What is the remainder when 55 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10297 or 10299?\nAnswer: 10299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 2*k - 3*z, -51*k + z = -50*k + 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -103. Sort -1, -4, w, 4 in decreasing order.\nAnswer: 4, -1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/45)\/((-6)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*l**2 - 2)*(-l - l + 0*l) + (-l**2 + 3*l**2 - 4*l**2)*(3*l - 6*l + 5*l) - 2*l**3 - 3*l**3 + 4*l**3 + l**3 + l**3 - 9*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*d - 18 + 53, 3*b = 2*d + 72 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.592 - 0.02. Let t = -0.89 + i. Let d = 68.418 + t. What is d rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 62*s**2. Let q(a) be the second derivative of -a**3\/2 + 33*a - 1. Give q(i(b)).\nAnswer: -186*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0 + 0)*(12*l**3 + 44*l**2 - 44*l**2).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50951522029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231754.\nAnswer: 2, 115877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33603736 by -8072.\nAnswer: 4163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203428542.\nAnswer: 2, 8243, 72997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffqqfffqffqffff. Give prob of sequence qq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -113*q**2 - 5*q + 53. Let u(j) = -62*j**2 - 2*j + 25. What is -5*u(k) + 2*x(k)?\nAnswer: 84*k**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngnznnnynsnznzgan. What is prob of picking 1 y and 1 g?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-262)\/(-8) + 2\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.84 and 20878.\nAnswer: 288951.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -327 (base 14) to base 13\nAnswer: -38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-1)\/3*-3. Suppose -4*x = -r*w + 80, -26 = -w - 5*x + 4*x. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/64)\/(2\/(-212))*(23 - (-5355)\/(-225))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -110224*t**2 + 171312*t - 66564 = 0?\nAnswer: 129\/166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 1, -21.3, 31\/22 in decreasing order.\nAnswer: 7, 31\/22, 1, -5, -21.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a factor of 1264170035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -10*r**4 + 445*r**3 - 1045*r**2 - 240*r + 1260 = 0?\nAnswer: -1, 3\/2, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 34, -0.225, 3, 0.5?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aala when four letters picked without replacement from anbknlanall?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 45. Let b = 0.1 - 1.1. Is h not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 0 + 165 + -138.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - ((-18)\/12)\/(1\/2*3). Sort 14\/123, c, -2\/21 in ascending order.\nAnswer: -2\/21, 14\/123, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 416869.9 micrograms?\nAnswer: 416.8699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -650, -573, -502, -443, -402?\n\"Answer: -w**3 + 3*w**2 + 75*w - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 greater than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -70. Solve z + s*z + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 3*l**2 - 14*l + 874. Let h be q(0). Calculate the highest common divisor of 114 and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:49 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 947 + adb?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -14*b**5\/5 - 276*b**4\/5 + 2516*b**3\/5 - 1248*b**2 + 4986*b\/5 - 972\/5 = 0.\nAnswer: -27, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 2\/11, -5, -0.03, 0.05 in ascending order.\nAnswer: -5, -5\/4, -0.03, 0.05, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0 + 0*z + 1\/60*z**5 + 5\/6*z**3 - 4*z**2 - 1\/3*z**4. Let b be u(8). Solve 4*t + 5 = b*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8166 - 8161. Let f = 6 + -6.3. Which is the nearest to 0.1? (a) l (b) f (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22034154 (base 6) to base 3.\nAnswer: -1020102121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - n + 1. Let x = 26 - 25. Give c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -41*y + 516. Calculate a(14).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -14*l**4\/9 - 37500368*l**3\/9 - 2790232738358*l**2 + 797209693956*l = 0?\nAnswer: -1339299, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102639152 divided by 916421?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:39 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 40*n - 143352 = -39*n, 2*u = 5*n + 286707. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135 by -64250.\nAnswer: 27\/12850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 12*z - 5*y + 9 = 0, -18 = -3*z - 2*y. Find the second derivative of -z + 10*r**2 + 91*r**3 - r - 2*r**5 - 10*r**2 wrt r.\nAnswer: -40*r**3 + 546*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765.07 less than 526217182?\nAnswer: 526215416.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 5632*h**2 - 11271*h + 8. What is w(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g. Let s(r) = 12*r - 4. Determine t(s(u)).\nAnswer: -72*u + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2. Let t(p) = -15*p**2 + 30*p**2 - 12*p**2. What is l(t(j))?\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 49\/14)\/((-6)\/(-8)). Let c(z) = 6 + 39*z**p - 6 - 42*z**2. Let l(x) = -33*x. Determine l(c(v)).\nAnswer: 99*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, x: 13}. Give prob of sequence xff.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1773 by -127.\nAnswer: -1773\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 48*l - 128, -16*l + 88 = -5*p - 20*l for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = -2*n + 7, -3*n + 2*l = -30. Solve -12*f + n*f = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 0*n**2 - 4*n**2 + 3*n**2 - 24*n.\nAnswer: -n**2 - 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3473 + -3472.7. Which is the closest to k? (a) -5 (b) -36 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/9))**(-21)*(x**(1\/11))**50)**(2\/43) assuming x is positive.\nAnswer: x**(-8\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13642?\nAnswer: 2, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.62620459 rounded to four dps?\nAnswer: -1.6262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5350 - -5354. Solve -a - 3*a - w*q = 32, q + 5 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/8)\/3 + 1. Let d(i) = -7*i**2 - 23*i + 5 + 31*i - 18 + i**3. Let v be d(6). Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-18))\/((-1)\/94). Let w = i + 47. Is 7\/10 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 5. Let n(j) = j**2 - j + 4. Let w be n(0). What are the prime factors of h(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 4*m**2 - m + 4. Let x be (-2)\/((-4)\/(-8) + -1). Determine b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/66*-2*(-11)\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*v - 294 = 0, 393 = 4*f + 3*v + 2*v. What is the remainder when f is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 165\/820 + ((-10)\/8 - -1). Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267.6835ml to litres.\nAnswer: 0.2676835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -83. Let i be l\/14 - 8136\/84. Let c = -13 - i. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v + 101*v = 156*c + 51*v - 72, 4*c = v + 24 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1456318.\nAnswer: -1\/728159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(495)*-5*-3)\/sqrt(9))\/((sqrt(245)*5 - sqrt(245))*6 + sqrt(245) + sqrt(245)))**2.\nAnswer: 2475\/33124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12469463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 181 - 20 = 0. Let d(r) = -2*r**3 - 3*r**2 - 4. Let f be d(-3). Is g <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -11*z**3 + 28*z**2 - 5*z + 8. Let d(m) = -7*m**3 + 19*m**2 - 3*m + 5. Determine 8*d(i) - 5*w(i).\nAnswer: -i**3 + 12*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590416 is divided by 587336?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -414, -1652, -3716, -6606, -10322?\n\"Answer: -413*q**2 + q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/5*572\/(-104)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23871 is divided by 7754?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t - 25. Let a = -4799 + 4797. Let z(b) = -4*b - 12. Determine a*f(d) + 5*z(d).\nAnswer: -2*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 - 2 = 0. Let i(t) = 82*t**h - 8 - 81*t**2 + 3*t - t. What is the tens digit of i(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 83 = 3*w, 0 = 2*w + 15*b - 370 + 1427 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxyd when four letters picked without replacement from qqqzqxqxzdddyyq.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 14 = -3*u. Let k = 31 + u. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**3 + 47*q**2 - 119*q - 18. What is s(3)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -97, 139, 519, 1067, 1807?\nAnswer: 2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, -2, -12, -26, -44, -66?\n\"Answer: -2*w**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**7\/84 + d**6\/20 - d**5\/40 - d**4\/8 + 775*d. Let u(g) = 0. Calculate g.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 2. Let d(f) = -2*f + 1. Suppose 4*s = -0*s + 16. Give s*u(o) - 7*d(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 3. Suppose 3*f + 1 + 11 = 0. Determine t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + h + 2 = -1, 0 = 5*h + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51601.19 decades?\nAnswer: 6192142.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 2344\/55?\nAnswer: 2344\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -660*j**2. Let f(b) = -84*b**2 + 3*b. Let x(k) = -54*k**2 + 2*k. Let m(p) = -2*f(p) + 3*x(p). Determine w(m(s)).\nAnswer: -23760*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49869240?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5 + 66*k**4 - 3006*k**3 - 6202*k**2 - 3132*k = 0. What is k?\nAnswer: -58, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 5*b**2 + 236*b - 28. What is x(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 6:50 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2*o + 161401212*n**2 + 826372*n*o - 84*o wrt o.\nAnswer: -2*n**2 + 826372*n - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2703765.\nAnswer: 3, 5, 17, 23, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*x + 1, -5*o + 663 - 668 = -x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5551\/38532*76 - 11\/((1 - -1) + -1)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*v = 2*p - 40, -5*v - 20 = -p. Let a be p\/(-35) - (-8)\/14. Suppose 0*o - o - 2*f + 23 = a, 0 = f. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**6\/120 - d**3\/3 - 2*d**2. Let w be x(0). Let r be 2 + w + (-1)\/5. What is the second biggest value in -3, r, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221 = 14*c - 40 + 1 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2318)\/(-152))\/61)\/((-5)\/16)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l = -3. Let u(b) = 1 - b + 0 + 8 + b**2 + b**3. Let g be u(0). What is the highest common factor of l and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7906 is divided by 532?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 407875282 to the power of 1\/2, to the nearest integer?\nAnswer: 20196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58156445*o**3 + o**2 + 64*o + 208305?\nAnswer: 348938670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from xqtqqkttnnttqtk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2662.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/5584 and 13\/160.\nAnswer: 55840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 61. Calculate the highest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793065749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*j**5 + 0 + 0 + (-j**3 - j**3 + 4*j**3)*(-j**2 + 2*j**2 - 3*j**2) + 8*j**5 - 3*j**5 + 2*j**5.\nAnswer: 21*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6001.\nAnswer: 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0049 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 63*a = 60*a, 2*v = 4*a - 4 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8786*p + 175717. Calculate g(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 74028950.\nAnswer: 518202650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -57. Let q = 35466377\/189255 + 2\/37851. Let p = 188 - q. Which is the closest to -1\/5? (a) h (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -125489261682 and -4.\nAnswer: -125489261686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b + 0*b)*(-3 + 1 - 1)*(0*b - b + 0*b) + 0*b + 0*b + 3*b**2.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 7*z + 12 = r, 0 = r + 3*z - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2461535\/432 + -5698. Find the common denominator of d and (-3)\/(-8)*20544\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26394585 divided by 1759639\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-35 + 51 + (-85 - 0) - -6).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-101)\/(-202)*-4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -12 (b) 1\/4 (c) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2818.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**2\/2 - 6*a - 11. Let o be f(-2). Let y(j) be the first derivative of -j**4\/4 - 5*j**3\/3 - 3*j**2 - 3*j - 2. Give y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(125) + sqrt(125) - sqrt(125)) + ((sqrt(125)*-2*5)**2 - sqrt(125)) + 4 + ((0 + sqrt(80))*-3)**2.\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + v - 1. Let h(q) be the first derivative of q**3 + 3*q**2\/2 - 5*q - 3. Let s(j) = -h(j) + 6*u(j). What are the prime factors of s(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 5, v: 3, s: 3}. What is prob of sequence gww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16864 + -16846. What is the fourth biggest value in 2\/19, -1, z, -0.3, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325, 454, 595, 754, 937, 1150, 1399, 1690?\nAnswer: 2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36613\/18 + -2033. What is the common denominator of k and -67\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 3:03 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -1116, 4, -1, 2 in increasing order.\nAnswer: -1116, -1, 1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16483 is divided by 4372.\nAnswer: 3367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (0 + 1)\/((-47)\/423)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 35*x + 10. Let m = 30948 - 30948. Give z(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -2*r + 16, 0 = 4*r - 8*t + 11*t - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -29, -0.3, 1, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301d9 (base 14) in base 7?\nAnswer: 13061062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74, 194, 354, 554, 794, 1074?\n\"Answer: 20*v**2 + 60*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27708627, -27708632, -27708639, -27708648?\nAnswer: -27708659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7031306\/155 + -45363. Let o = -2\/31 + j. Let d = -0.2 + -4.8. Which is the third smallest value? (a) -2 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 divided by -64?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -97.5\nAnswer: 10.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 0.12. Let s = 0.37 - z. Suppose t + 19 = -4*q, 20*t - 16*t + 22 = 2*q. What is the biggest value in s, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 705.\nAnswer: -7\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19550 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: Let k(a) = 12*a - 10. Let f(n) = -9*n + 11. Give -3*f(l) - 2*k(l).\nAnswer: 3*l - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 + x - 3. Suppose 11*d - 12 = 5*d. Determine c(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.6. Let l = -19 + 14.5. Let d = l + v. Put 1, 0, d in ascending order.\nAnswer: d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - (-1 + 0 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 12:05 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118432\/21321 - 2\/2369. Suppose o - 5 = -5*v + 9, o = 3*v - 18. Is o at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66461 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402470 (base 8) to base 10.\nAnswer: 132408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 7*x - 4. Let l be d(8). Let r(k) = -k + 3. Let p be r(l). Let z = p + 3. Solve 3 = z*t - 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872743.\nAnswer: 31, 47, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 58 - 50 = -5*u, -4*u + 3*h = 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.147, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 2 - 1) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*i + 2 - 3*i + 5*i)*(0 + 0 - 1) to p*i + x and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3787737424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3890588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x - 14. Let u = -2149 - -1412. Let f = u + 737. Calculate z(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**2 + 8*z + 1. Let f(j) = -5*j**2 - 4*j - 1. Let w(n) = -6*a(n) - 11*f(n). What is the units digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*i + 2*i. Round i to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -4)*3\/2. Suppose -8 = -2*f, 3*f = p*h - 0*f - 3. Suppose 4*d = -93 + 233. What is the highest common divisor of h and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 - -62367\nAnswer: 62445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 64*o + 28*o + 33*o to the form n*o + d and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 371693*j - 47 - 45.\nAnswer: -371693*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1)*((-12*a**2 + 8*a**2 + 18*a**2)*(-a**2 + 1 - 1) + (-1 + 1 - 2*a**3)*(3*a + 3 - 3) + 10*a**4 + 19 - 19).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = y + 58, -4*n + y - 140 + 216 = 0. Solve -3411*a + n = -3405*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -43, -256\/99?\nAnswer: -256\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 5:44 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2280*d - 54. Let j(w) = -326*w + 8. Calculate 27*j(c) + 4*m(c).\nAnswer: 318*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c62de3 - -1e?\nAnswer: c62e01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 22 = 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*i**4 + 3676*i**3 + 30800*i**2 + 48208*i + 21120 = 0. Calculate i.\nAnswer: -6, -1, -8\/9, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59475 = -81*x - 7797. Calculate the greatest common factor of x and 1740.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - c**4 + 2*c**4)*(-1 + 0 - 2)*(-26*c - 153 + 153).\nAnswer: 78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.002?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*(9 - 3). Let f = -8 + g. Sort f, -2, -8 in descending order.\nAnswer: f, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h**2. Let z(p) = -46*p**2 + p + 59. What is 4*b(i) - z(i)?\nAnswer: 2*i**2 - i - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37761 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 5*f)*(2 + 1 - 4 - 3*f).\nAnswer: -3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 265.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, u: 2, z: 1}. What is prob of picking 2 u and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1876.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -11, 0.1, -0.024 in descending order.\nAnswer: 0.1, -0.024, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**3 + 0*n**2 + 1 + 0*n + 0*n**4 - 3\/5*n**5. Find the third derivative of b(w) wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 4*j**2 - 7*j. Let k(v) = -4*v + 3*v - 3 + 3*v. Let b be k(3). Suppose -b*f + 10 = -5. Give a(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.24002ml in litres?\nAnswer: 0.00524002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, -3, 3, 0.9, 499 in descending order.\nAnswer: 499, 136, 3, 0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.878659 hours to nanoseconds.\nAnswer: 3163172400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6452653.\nAnswer: 59, 109367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (4 - (-2 - -10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 - 2 + 2 + (14 + 13 + 7)*(-2*n + 2*n**3 + 2*n) + (-2*n + 1 - 1)*(-4*n**2 - n**2 + 4*n**2) to s*n**2 + d + o*n**3 + x*n and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 6*c - 1789, -24*b + 21*b + 5445 = 5*c. Calculate the highest common factor of b and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 85*v + 61*v - 11*v**2 - 154*v.\nAnswer: -7*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 1. Let q be p(-1). Find a, given that -1\/3*a**q - 1\/3*a + 2\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -34, -1\/4, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 167, 208, 265, 338, 427?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165681293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*w + 2, 40968*w - 40966*w = -2*n - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1420184429 + 1420186011.000661. Let g = 0.0007 - 1582.0007. Let v = g + m. What is v rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 1, c: 2, y: 1, o: 1, j: 2}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 7 - 1)\/(1\/3). Let f = 1563 - 4624\/3. Let r = f - j. What is the second smallest value in r, -2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1128 divided by -5\nAnswer: -1128\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -4*1212\/(-480))*10\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) + 7 + -6. Let w(m) be the first derivative of 0*m**2 - 2 + m + a*m**3. Differentiate w(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, -678, -1429, -2190, -2961?\nAnswer: -3742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -406542 (base 11) to base 13\nAnswer: -19b1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 25573*y + 4245123. What is m(-166)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58b35 + -39?\nAnswer: 58ab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + z - 3, -4*k - z = -0*k + 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.08 - 0.08. Let v(x) = x**2 - 3*x - 4. Let r be v(8). Let p be 36 - r - 1\/3. Which is the closest to p? (a) 1\/7 (b) q (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, -3, 0, 23.736, 0.4 in decreasing order.\nAnswer: 23.736, 15, 0.4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51.1078 millimeters?\nAnswer: 5.11078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 3*v + 2. Let s = 26 + -16. Let a(u) = u - 8. Let m be a(s). Let y be d(m). Solve y = -t - n - 10, -t + 0*t = -n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97965, -391884, -881759, -1567590, -2449377?\nAnswer: -3527120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-9) + (-286)\/(-1287)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from pnpxnppx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 271 + -267. Solve 0 = 3*l - 5*b + 13 + k, 8 = -l + 4*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 6*b**2 + 11*b - 12. What is i(6)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 + 212. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*d - 5 - 0, -p - 3*d - 1 = 0. Let c be (-4)\/16 - (-18)\/8. Suppose 5*o = p*q + 69, 8 = -c*q - 2*q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/5)\/(-4)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 27*r**2 + 50*r + 2. Let p be m(-25). Suppose 0*z - 81 = z - 5*v, p*z + 2*v = -102. What is the tens digit of (15\/30)\/((-2)\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4 + 4140*d**3 - 1105612*d**2 + 17682660*d - 16581184 = 0.\nAnswer: 1, 16, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = -298*o + 299*o. Let x = 53 - 32. Let u be 8\/x - 6\/9. Which is the closest to u? (a) o (b) -9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -880 - -1679. Let o = -400 + p. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332*v - 412*v = 160. Let f = 6 - 4. Suppose f*u - 14 = 4*w, u - w - 19 = 4*w. Put 4, u, 2, v in descending order.\nAnswer: 4, 2, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*638.\nAnswer: -6.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 29. Let q = -133 - -137. Solve -q*x - x = -u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2 + x - 1. Let b be r(1). Let y be -1 + 2 + (4 - b). What is the units digit of 1\/y*-17*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**6\/120 - c**5\/12 + c**4\/6 - 2*c**3\/3 + 76*c**2. Determine y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 0.0311, 4, -0.4?\nAnswer: 0.0311","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88432238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 0, 14, 3 in ascending order.\nAnswer: 0, 3, 5, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13230 = -27*r + 13635 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**3\/6 - 4677*u. Let n(g) = 1610*g**2. What is n(b(d))?\nAnswer: 1610*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 19 = 10. Solve x*w + 2*j - 3 = -0*j, 5*j - 15 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3607 - -7?\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -420230110 - 11?\nAnswer: -420230121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 9*q + 5. Let g be z(-10). Which is the nearest to 0? (a) 6 (b) g (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = a - 2*k, -15*a + 13*a + 87 = 5*k. Find the third derivative of 25*d**4 - 63*d**2 - 59*d**2 + a*d**5 - 25*d**4 wrt d.\nAnswer: 2160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*m**4*z**3 - 9*m**3*z**3 + 59080*m**2*z**3 wrt m.\nAnswer: -1632*m*z**3 - 54*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98131702 is divided by 835?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 - 3*o**2 + 3*o**2 + (-2*o**3 + 3*o**3 - 3*o**3)*(5*o + 3*o - 13*o))*(-144 + 30*o + 144).\nAnswer: 240*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86665689.\nAnswer: 3, 11, 61, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*p - 99*p + 7 = k, -4*k + 13 = p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 10*c - 113. Suppose -5*i - 24 = -6*i. What is the greatest common factor of c and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -21*t + 166. Let p be v(6). Suppose -222 - p = -2*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1102246?\nAnswer: 1102250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00370143 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 1. Let g(j) be the first derivative of 8*j**2 + 6*j - 2\/3*j**3 + 1\/4*j**4 + 7. Let l(i) = 6*c(i) + g(i). Determine d so that l(d) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239021, -238052, -237085, -236120?\nAnswer: -235157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182299848 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2440 and 12520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18297 to 3 decimal places.\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6697, -26711, -60083, -106819, -166925, -240407, -327271, -427523?\nAnswer: -541169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - h. Let w be d(1). Find the third derivative of -4*f**2 + 3*f**w - 15*f**3 - 2*f**3 - 5*f**2 wrt f.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + -114 + 44 - ((-2)\/(-2) - -20)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121827 - 2*j**2 + 104902 + j**2.\nAnswer: -j**2 - 16925","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 416, 4, 0, -4, 5 in descending order.\nAnswer: 416, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - s**2 - 2*s + 34. Suppose 0 = -d + 3*d. What is the tens digit of j(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 13) to base 16\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z = 2*g + 25, -158*z = -154*z - 3*g - 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1683 and 1071?\nAnswer: 11781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*n + 4*w, n + 2*w = 3*w. Suppose -n*z - z - 20 = 0. Does 11 divide ((-12)\/9)\/(z\/78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luqbqybqbylmyyyyyl. Give prob of sequence bq.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + t**3 + 0*t**2 + (-2*t**2 + 2*t**2 - t**2)*(361*t - 1078*t - 217*t) as f*t + l*t**3 + s + w*t**2 and give l.\nAnswer: 935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8651982, 17303965, 25955948, 34607931, 43259914?\nAnswer: 51911897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -193 - 5?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*x**2 + 215*x + 50.\nAnswer: -5*(x - 5)*(9*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y - 397 + 557 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 14. Let l = v - -28. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27788607 rounded to two dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - (3295\/(-20) - -5) - 3\/(-12) is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/2 of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/39)\/((-11)\/(-66))*1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -8 - 1) + -1 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 20. Let u(n) = 3*n - 19. Let k(l) = 4*f(l) - 5*u(l). Let r be k(-9). Solve -t - 15 = -r*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 236 - 64 = 0. Let x(d) = d - 2. Let h be x(7). Solve h*m - 21 = 4*r - 4, -5*m = -5*r - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49881364 rounded to three decimal places?\nAnswer: -0.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40492 is divided by 650.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 0*h - 4*h + (68 + 141 - 436)*(1 + 2*h - 1) to the form l*h + w and give l.\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(392\/(-16))*7\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/3))**49*(r**(2\/9))**(-20))**(-2\/5) assuming r is positive.\nAnswer: r**(-1096\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:42 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-1008)*-18*(-8)\/(-30)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 527903 < 527903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + m**2. Let d be (-3)\/3*(2 - 5). Let w(q) = q**3 - q**2. Let p(y) = d*r(y) + 2*w(y). Find the third derivative of p(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/360 and 7\/2220.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + 6*u. Let r(b) = -4*b**2 + 7*b. Let f(z) = 7*d(z) - 6*r(z). Let l(s) be the third derivative of s**5\/60 - 21*s**2. Give l(f(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 104*d\/5 - 80.\nAnswer: -(d - 100)*(d - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1e (base 15) to base 13.\nAnswer: -11a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**2\/2 - 1. Let o = -5 - -8. Let i be (3 + -2)*3\/o. Let d(x) = 5*x - 1. Give i*d(s) + 6*q(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 9:47 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 140?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 25 = -5*p, 2*i + 26 = 3*p + 6*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2790209622?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-2*5 - sqrt(119))\/(((sqrt(700) - (sqrt(700) + sqrt(700)*-2)) + sqrt(700) - sqrt(700) - sqrt(700) - sqrt(7)) + sqrt(7))*-4.\nAnswer: 22*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 - -51. Calculate the common denominator of (6\/345)\/(s\/(-35)) and 58\/7.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70 + 715\/11)\/(255\/12).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56878409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 66, 102, 138, 174?\n\"Answer: 36*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 9*g + 0*g - 4*g in the form q + h*g and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4)*(-8*z - 17*z + 4*z) + (-2 - 2 + 3)*(-1 + 1 + 1)*(3 - 3 + 3*z).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/65 + -18\/65. Which is the closest to u? (a) -3 (b) 4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 + o**2 + 28*o**2.\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 842923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4475, -17813, -40031, -71129, -111107, -159965?\nAnswer: -217703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let o(p) = 27*p**2 - 7*p - 7. Let r(k) be the first derivative of -13*k**3\/3 + 2*k**2 + 4*k + 8. Let i(a) = -4*o(a) - 7*r(a). What is i(q(v))?\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463775?\nAnswer: 5, 13, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*v + 32, -2*v = -31*u + 35*u + 20. Solve x + v*l = 6, 10*x = 9*x + 4*l - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2\/13 (c) 3\/1339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-3)*w)**1\/(w*w*w**(-1\/3)*w)**(-23) assuming w is positive.\nAnswer: w**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1505 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 a factor of 2607170753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108590996 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -4\/3*u**3 + u**4 + 1 + 0*u + 0*u**2. Find the third derivative of v(b) wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 5*j + 9. Let d be l(6). Suppose 14 = d*t - 25. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4543 or 4731?\nAnswer: 4543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-52)*-3*(-344)\/258?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 58\/6*(252\/(-12))\/7. Let c be 4\/24 - p\/6. What is the highest common divisor of 85 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) -0.1 (c) 0 (d) -2\/75 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2292*o - 240. Is 6 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (749 - 3*v - 355 - 337)*(1 - 2*v - 1)*(-3*v + 40*v + 8*v) as p*v**2 + a*v**3 + k*v + s and give a.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2093 - 2092.8. Which is the smallest value? (a) m (b) -1 (c) 0.0385\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 22. Suppose -h = -3*z - 3385, 0 = -3*h - 4*z - 5498 + 15588. Let f(a) = 3370 - h + a. Calculate m(f(q)).\nAnswer: 3*q - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 - 3.06. Let m = -0.17 - w. Let f = -3.0999966 + m. Round f to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - ((-7 - -14) + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -229 + 225. What is the smallest value in l, 1\/10, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131 by -1.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58642 - 58642.5. Let z = 71 - 354\/5. Sort z, -2\/23, h.\nAnswer: h, -2\/23, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -629, -943, -1263?\nAnswer: -1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 23, 1577, 0.09, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3753 + -3509. Calculate the lowest common multiple of y and 16.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -1113, -2047, -3249, -4731, -6505, -8583, -10977?\nAnswer: -13699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8532257 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 75.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.34 + 12.34. Which is the second smallest value? (a) 0.4 (b) r (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.092 + -7.1667. Round o to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 3)*(0*f - 2*f + 0*f).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 36. Let i = 12 - 12.2. Which is the nearest to 1? (a) i (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187 and 2193.\nAnswer: 24123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, 28, 59, 90?\n\"Answer: 31*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*j**3*x**3 + 137*j**3*x**2 + j**3 + 4609*j**2*x**2 - j*x + 2*x**3 wrt j.\nAnswer: 696*x**3 + 822*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/120 - 13*i**5\/60 - i**4\/24 + 3*i**3 + 16*i**2. Let k be g(13). What are the prime factors of (-2)\/(-8)*(241 - k)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -0.05 (b) -2 (c) -0.2 (d) 4\/3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1409 + -1408.999996309. Round v to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640*c - 658*c = -882. Calculate the remainder when c is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.468? (a) 2 (b) -32 (c) -1.016 (d) -2\/9 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18365 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + z = -4*z - 45, 78 = 2*r + 2*z. Suppose -4*v = 4*w - 512, 652 = 2*v + 3*v - w. Let k = 160 - v. What is the highest common divisor of r and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.06326 nanograms?\nAnswer: 0.00000000106326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 25. Let x be s(-14). Let b(r) = r**3 - 17*r**2 + 2*r - 21. What is the remainder when b(x) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/132*9\/(-1).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 625*f**5 + 649*f**2\/2 - 6*f + 10164. Find the second derivative of a(q) wrt q.\nAnswer: 37500*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - -3) - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, r: 1, t: 2, i: 4, b: 1}. Give prob of picking 1 b and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15449 and 630.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (212\/(-1590))\/(2\/81*-3)*2175\/45\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + -2 + sqrt(171) + -2 + sqrt(152)\/sqrt(128).\nAnswer: -2 + 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 31342*p - 2413335. Calculate o(77).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 15. Suppose -4*u - u - 2*k + o = 0, 5 = -u + 4*k. Solve -2*h + u*p + 6 = p, -5*h = -3*p - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21450717 is divided by 4640.\nAnswer: 4637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 7) to base 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733035189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1115 = -2*w, 2*s - w = -3*w + 750. Suppose 0 = -7*f + s + 131. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 5, 2, -2, -1000 in ascending order.\nAnswer: -1000, -3, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 9*n**2 - 9*n + 5. Let l(z) = 2 + z**2 - 4*z + 7*z**3 - 6*z**3 + 3*z**2. Determine -4*b(u) + 9*l(u).\nAnswer: u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 54*n**2 + 1561*n - 1764. What is q(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x\/x**7)\/(x*x*(x*((x*x*x**(1\/3))\/x)\/x)\/x)**26*((x**(-1\/7)\/x)\/x)\/x**(-1\/3)*(x*x**(3\/10)\/x*x*x)\/((x*x**(-4))\/x) assuming x is positive.\nAnswer: x**(-12007\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:16 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:31 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o - 51*o + 86020 = 0. What is the smallest common multiple of 736 and o?\nAnswer: 12512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-55)\/(-15) - (-4)\/(-6). Let n be 12\/(-9) - (-4)\/l. Suppose n = 5*b - s - 205, 0 = -4*b + 5*s + 3 + 182. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n + 5. Let j(f) = 322*f + 116. Let l(a) = -340*a - 119. Let u(p) = 19*j(p) + 18*l(p). Calculate c(u(h)).\nAnswer: 24*h - 739","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 76, -0.4, 0.1, -591?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 5. Let j be m(8). Suppose 4*t + 5*x - 1005 = 6*x, 0 = j*t + 2*x - 762. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/90*459\/36.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 57?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -3.20694521?\nAnswer: 7.20694521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 184 = 18*u. Suppose y - 5*y - 2 = -h, -5*h + 2*y = -u. Let x = h - -68. What is the highest common divisor of x and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a4c - 9978a?\nAnswer: -9b509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 98*u**2 - 89*u - 58. List the prime factors of t(10).\nAnswer: 2, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) 418 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -9, -4*z = -6*z + 4*s + 6. Let u(v) = 26*v - 1. Calculate the remainder when u(1) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -220.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/3 (b) 277 (c) 1 (d) -12 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 14 - 2 = -2*x, 0 = -5*x - h + 6. Let m be ((-2)\/x)\/(7 + -8). What is the nearest to 0.3 in 2\/9, m, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*l**2 + 3*a**2*l + 2*a**2 + 208*a*l**2 - 18*a*l + 174*a + 2*l**2 wrt l?\nAnswer: -4*a**2 + 416*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 7) to base 2.\nAnswer: -1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 + 17*h**5 - 916*h**3 + 2*h**2 + 10317*h?\nAnswer: 120*h**3 + 1020*h**2 - 5496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.95 times 71?\nAnswer: 7238.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10222417991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 10) + 9 + -19 - (7 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1640*z**2 - 288645*z - 877. Determine d(-176).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 95) + 300\/50. Let d = p + 92. Solve 10 = 4*s - k, 2*s - d*k + 4 = 3*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 679 and 10.\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 7, p: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 12 + -1 + -1 + -1. Solve -5*o - 3*w = 20, -3*o + j - 4 = -3*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -136, -529, -1184, -2095, -3256?\n\"Answer: g**3 - 137*g**2 + 11*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/600 + -3*2\/36.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 137780 = -8*w - 18*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9844\/19 + -518. Which is the fourth smallest value? (a) g (b) -58 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*x - 66. Suppose x = q + 2. Is (-3015)\/(-12) + (-5)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**3 - f**2 + 2*f - 1. Let d be w(1). Let c(u) = -u. Let o be c(d). Let x = 205\/3 - 69. What is the biggest value in x, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvwwvww. Give prob of sequence vwwv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3196729213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {g: 4, q: 16}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10379*f = 10370*f + 20160. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 1043*x**2 + 502*x + 532*x - 729*x + 2 = 0.\nAnswer: -2\/7, -1\/149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 - 34015*x**2 - 5961920*x - 5927900 = 0. What is x?\nAnswer: -170, -1, 6974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -56336935.\nAnswer: -56336935.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14975 and 2715?\nAnswer: 8131425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brr when three letters picked without replacement from {r: 3, j: 13, b: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8940 and 200?\nAnswer: 89400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 2, -15 in ascending order.\nAnswer: -142, -15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796093 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 279, 640, 1145, 1794?\nAnswer: 2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 2469 + 5942 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a. Let o = a - -9. Let l(r) = -r**3 + 8*r**2 + 10*r + 5. Does 8 divide l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxyxxy.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5198 - 752 = -659*t + 3935 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*u = 52380, -3*o - 12049 = -u - 43470. Suppose -25*n = -o - 6828. What are the prime factors of n?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*l**2 + 2*l**2 - 22*l**2 - 75*l**3 - 22*l**2 wrt l?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3797 - -15279\/4. Let c = 57 - 32. Let i = c - t. Find the common denominator of 19\/7 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 164, 111, 26, -91, -240?\n\"Answer: -16*r**2 - 5*r + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2))\/(c**(-6\/11)*c))\/(c\/(c*(c\/(c*c\/(c\/(c\/(((((c\/(c*c*c\/c**(-1\/2)*c))\/c)\/c)\/c)\/c*c*c))))*c*c)\/c*c))**(-41) assuming c is positive.\nAnswer: c**(4027\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 0 - 4 + 0. Let u be d(3). Suppose -3*q = q + 2*f - 16, 0 = q - f + u. Do q and 2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47908 and 125860.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -0.0374287, -1 in increasing order.\nAnswer: -1, -0.0374287, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 32*n + 22400 = 90*n. Calculate the greatest common divisor of n and 1708.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 20000*v**2 - 79895*v + 99900.\nAnswer: -5*(v - 1)*(v + 5)*(v + 3996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00122 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1189, 1180, 1155, 1108, 1033?\n\"Answer: -l**3 - 2*l**2 + 4*l + 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 - 1555*b**2\/2 + 468408*b.\nAnswer: -b*(b - 464)*(b + 2019)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005438 rounded to seven decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8580097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -5*a + z, -2*z - 2*z = -4. Find the third derivative of 15*d**4 - 413*d + 413*d + a*d**2 + d**4 wrt d.\nAnswer: 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244 - -245. What is the smallest value in 4, -4\/5, -10\/7, g?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209980338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -10*u**2. Let y(f) = 5349*f**2. Calculate x(y(n)).\nAnswer: -286118010*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 90 = 5*m, -7 = -4*m - 3. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659308308 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 - 6*c - 1. Let n(d) = d. Suppose l = 5*z + 10, 5*z - 4*l - 4 = -14. Let g(a) = z*h(a) - 2*n(a). Determine x, given that g(x) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - z - 8*z + 2*z + 6*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c. Let n(o) = 11*o**2 - 11*o. Determine -5*h(d) + n(d).\nAnswer: 6*d**2 - 16*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 110800, 221586, 332360, 443116, 553848, 664550, 775216, 885840?\n\"Answer: -j**3 + 110793*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 6467\nAnswer: -25868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t + 190 = -45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 227?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/16 and -53\/7018?\nAnswer: 56144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017944 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 73*p**2 + 22*p + 11 - 19.\nAnswer: -73*p**2 + 22*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/3 - (-13 + 26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1342\/(-3355))\/((-16)\/(-50))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let p(h) = 106818*h. Calculate p(a(s)).\nAnswer: 213636*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 times -1.8?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0025865 + 181.\nAnswer: 180.9974135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 66*d - 1. Let p be b(-4). Let g = p + 374. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48, -97, -160, -243, -352, -493, -672?\n\"Answer: -d**3 - d**2 - 39*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6219174.\nAnswer: 2, 3, 13, 71, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 - 6*v**4 - 20*v**3 + 48*v**2.\nAnswer: 2*v**2*(v - 4)*(v - 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -5838599017121.\nAnswer: -5838599017120.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 bigger than 250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10767931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 13 = 3*h, 38*h = 5*i + 41*h + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 8*i + 7. Calculate t(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16438482 a multiple of 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*i**3 - 25*i**3 + 22*i**3 + (3*i**2 - 7*i**2 + 2*i**2)*(4*i + 0*i - 3*i))*(i**2 + 2*i**2 - i**2).\nAnswer: 32*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {x: 13, b: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 10*n - 9. Let y be (1 + -4)*24\/18. Let o be t(y). Solve o = -v - 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 30 = 2*l. Suppose 3*t = 2*f - l - 6, 0 = -4*f. Let d be (-1 - 2)\/(-5 - t). Solve m - d*u + 4 = 0, -3*u + 12 + 2 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14408173.\nAnswer: 13, 1108321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 6:44 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(22)\/(sqrt(110)\/sqrt(10)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -2. Let o = z + 3. Let y be (-2 + o)*25\/(-15). Solve 1 - y = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4756 rounded to two dps?\nAnswer: -2.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(1\/3)*p)*p*p)**(3\/4))**0\/(p**(2\/5)\/((p\/p**(-2\/5)*p*p)\/p))**(-2\/61) assuming p is positive.\nAnswer: p**(-4\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/38, -0.3, -5, -0.2, 1 in decreasing order.\nAnswer: 1, -1\/38, -0.2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -10033?\nAnswer: 70231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + p - 194. Let x be q(0). Calculate the common denominator of ((-3)\/(-20))\/((-3)\/x) and ((-2)\/(-6))\/(14\/120).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/102645?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from {h: 3, a: 2, y: 2, z: 1, t: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 309664 to the nearest 1000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32688136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7) + 2 - sqrt(7) - sqrt(7) - (sqrt(7) + 5 + -1 + sqrt(7)))**2 + -4.\nAnswer: 12*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1a596688?\nAnswer: 1a59668b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36212 by -11.\nAnswer: 3292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 - 26*i - 19. Let o be u(11). Let v be 120\/o - 138\/(-5). What is the highest common factor of v and 812?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*t = 41*t + 36*t + 98 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Suppose 2*m + c + w = 0, -6 = -0*m + 2*m + 3*c. Suppose 5*j + 2 = -2*n, 3*n - 7*j + 3*j - 20 = m. Solve 3*b + 4*k = n - 1, -6 = 2*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 0*k**2 - 13*k**2 + 5*k**2 + 4*k**2 + k**3. Suppose 4*i = -0*i + 8. Give p(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -22) + 16 + -3 + 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2 + 3*q - 3*q + 2*q + 4*q. Let i(x) = -x. Let t(m) = -2*g(m) - 18*i(m). Let p = 1440 - 1436. Determine t(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311042 (base 5) to base 11.\nAnswer: -183aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5*(-1)\/2)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h - 52. Give u(-4).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -7*m**3\/6 - 37*m. Give t(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - q - 1. Let b(y) = -131*y**2 - 6*y - 4. Suppose 4*n - 14 - 6 = 0. Let i(z) = n*m(z) - b(z). What are the prime factors of i(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8229367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -204659, -204657, -204655, -204653?\n\"Answer: 2*y - 204661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45843*i + 45839*i + 11 = p, 5*i - 14 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwhaavraannnwwn. Give prob of sequence hh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8385.12 days in minutes?\nAnswer: 12074572.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (-17)\/((-85)\/(-270)). Let h = j - 46. Solve -h*p = -4*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**3 - 165*l + 611 wrt l.\nAnswer: 3*l**2 - 165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 2. Let v(t) = 2. Suppose 5 = -2*l + n, 2*l + 19 - 5 = 4*n. Let w(z) = -z - 1. Let f(h) = l*w(h) - v(h). What is 5*f(b) + 3*j(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211212222122120 (base 3) to base 2.\nAnswer: -101110011001101011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1320*j**3 - 1109*j**3 - 6*j + 8*j - 315*j**3 - j - 2*j**2 to the form y + o*j**2 + w*j**3 + d*j and give w.\nAnswer: -2744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50028, -50026, -50024, -50022, -50020?\nAnswer: -50018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, -54, -182, -372, -630, -962, -1374?\n\"Answer: -f**3 - 22*f**2 + f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*t - 16, -x + 6 - 16 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 1332678*h + 1332678*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92839 - 92839 - 698*j)*(0 + 3 - 2)*(-4*j + 5*j + 0*j + (-3 - 2 + 7)*(-3*j + 3*j + j)).\nAnswer: -2094*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 957 - 36\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2109878 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -20*m**2 - 2435*m + 13323. What is c(-127)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 11*d**2 + 1. Let o be h(11). Let i = -34 - -29. Sort -1, o, i in decreasing order.\nAnswer: o, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in centimeters?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5446*j**3*p**3 - j**3*p - 2*j**2*p**3 + 27*j*p**3 - j*p**2 - 3*p**3 + 45*p**2 wrt j.\nAnswer: 32676*j*p**3 - 6*j*p - 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) -7565 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 5*m - 3769, 5*m - 1444 = -5*s + 871. Calculate the greatest common divisor of s and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24791972.\nAnswer: 2, 739, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 0.1, 17.73?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 390856861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, and 1 f when three letters picked without replacement from eenneeneefsefeneeee?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3985125 minutes?\nAnswer: 23910750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1869624 and 828.\nAnswer: 1869624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 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: Is 4 a factor of 10593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1176 + 1175. Which is the biggest value? (a) 4 (b) 0.02 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0902 + -77\nAnswer: -76.9098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and 99\/3112?\nAnswer: 15560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -461, -1005, -1757, -2711, -3861, -5201, -6725?\nAnswer: -8427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 4\/3, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((298\/(-5364))\/((-2)\/(-304)))\/((-16)\/(-72))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-270)\/36*(-48)\/90*5\/2. Solve -5*l - m = 0, -2*w - 5*l + 26 = 32 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 380 divided by 10\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 785\/3 - 3994\/15. What is the common denominator of r and 54*32\/1254 - (-2)\/(-19)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000718349424 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**3 - o**2 - o - 2. Calculate the remainder when r(-2) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 - -25) + -8)*(-5 + 12 - 8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -445 greater than -442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - n - 69 = 136, -v + 4*n = -40. Calculate the greatest common factor of 468 and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 40950.\nAnswer: 286650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*b + 94*b = -142*b - 8510 for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -2180 (c) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2233491760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20636\/42)\/(40\/(-238)). Let a = 2923 + v. Calculate the common denominator of 12\/11 and a.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 86*5 + 3 + -1. What is the units digit of (-1 - (-13)\/(-2))*s\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-6)*c**3*c)**(3\/2))**(-1\/27))**(-1\/17) assuming c is positive.\nAnswer: c**(-1\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 1. Suppose 3*x + 5*m + 5 = 1, -4*x - m = -6. Let n be b(x). Suppose -2*o + 2*w = o - 70, -3*o + n*w + 58 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157641 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Let h(b) = 2*b. Let l(s) = h(s) - 3*y(s). Let i(c) = c**2 + 2*c**2 + 3*c**2 - 8*c**2. Give l(i(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2*b + b**2 + (0 + 1 - 3)*(-4*b + 3*b**2 + 4*b + (b + 2 - 2)*(0*b - 4*b + 5*b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 400.9196 centuries?\nAnswer: 4009.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*l**2 + 56*l**2 + 19*l**2 + 2*l**2.\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.008, 0, 31, 1\/5?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -19 - (5 - (-4 + (6 - -2) + -3))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, -424, -1488, -3560, -6976?\n\"Answer: -56*w**3 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -961.2 and 0.05?\nAnswer: 961.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108960, -109025, -109138, -109305, -109532, -109825, -110190?\nAnswer: -110633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 - 3) - (-8 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4 + 70574*g**3 - 1660276872*g**2 + 13020997893280*g - 26035355243648 = 0. What is g?\nAnswer: 2, 23524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(8\/11)*k\/(k\/k**29))\/(k\/(k\/(k\/(k**(-2\/35)\/k)))*k*k\/(k**39\/k)*k) assuming k is positive.\nAnswer: k**(24128\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.000273 - 0.200273. Let g = -0.6 - -1.1. Which is the closest to 4? (a) i (b) 21 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - -1 - ((12 - -3) + -19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64617235 - 12?\nAnswer: 64617223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -506840*g - 3. Let c(j) = -j**2. Calculate o(c(r)).\nAnswer: 506840*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1195 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from gkcomkk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -122012?\nAnswer: -122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = 5*c - 40, 0 = -5*c + 25. Suppose 2*b = -b + 18. Solve w - 12 = -q*a + b*w, -a + w = -4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4)*88\/66. Let w(a) be the second derivative of 0*a**2 + 0 + 1\/6*a**3 - a + b*a**4. Suppose w(d) = 0. Calculate d.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1\/7, 40, -0.016, -3, 1\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -282846536*g**4*i**2 + 2*g*i**2 - 2*g*i + 445*i + 2707 wrt g.\nAnswer: -3394158432*g**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 158113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (2 - -8) - 3. Solve 3*o + 9 = 4*h, 3*h = u*o + 3 + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -316881 + 316881 - 16*j**2. Let w(u) = 14*u**2. Calculate r(w(y)).\nAnswer: -3136*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12411103234 (base 5) to base 7\nAnswer: -244213550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 637*t**3 - 24*t**2*v + 9605*v wrt t?\nAnswer: 1911*t**2 - 48*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -937173 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iflfcddcfifccqilfcii. Give prob of picking 1 c and 2 i.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5651, 11212, 16671, 22034, 27307, 32496, 37607, 42646?\nAnswer: 47619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 4:39 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003008 rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 3*d + 14. Let q(v) = 2*v**2 + 5*v + 15. Give -2*l(z) + 3*q(z).\nAnswer: 2*z**2 + 9*z + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 127\/(-5)*(-260)\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, 236865, -5, -1 in increasing order.\nAnswer: -22, -5, -1, 4, 236865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -84*d + 186. Does 8 divide g(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12110222021200 (base 3) to base 10.\nAnswer: -2912562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(363) - (sqrt(363) + sqrt(363) + 1)*2)*-1)**2*3)*6 + -2.\nAnswer: 2376*sqrt(3) + 58888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3, 197, -0.1, 50?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4 + 20*j**3 - 42*j**2 - 8*j + 56 = 0.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 70466190\/(-507008) + (-417)\/(-3)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4)*2 + 1)**2*3 + ((sqrt(5) - (sqrt(5) + 1)) + 2 - (sqrt(5) + (-3 + sqrt(25)\/sqrt(5) - sqrt(5)))).\nAnswer: 11*sqrt(5) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 7. What is the common denominator of 37\/2 and -4*(p\/(-27))\/(4\/(-3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c - c + 13*c)*(-1 + 1 - 2) - 2*c + c + 2*c.\nAnswer: -43*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.291021.\nAnswer: -2.291021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 88780 = -5*z - 5*j, -5*z + 444016 = -4*j. Suppose 22*x - 18*x = -z. What is x rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.088, 0.18, -5\/12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krkkrmmrrr. Give prob of sequence mmrk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 13*f + 57. Let m be c(-9). Let v = 212 - m. Calculate the highest common factor of v and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/(27\/6 - 3). Let f be 2*1 - (-76)\/p. Let i = 4\/27 + 10\/297. What is the smallest value in f, 2\/5, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:57 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-7 + 2)) + (1 - (10 + -9 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8534*g + 1032. Let b be n(-52). Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-54)\/(-50))\/(27948\/5480).\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-5)\/(-10) - -3. Let p be (0 + -4 + 6)*m. Solve 3*h + 20 = -p*y, -5*y + 8 + 2 = -5*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {r: 1, t: 1, f: 4, i: 3, g: 1, w: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 446683563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -339060*o**3*w**3 - 51723*o**3*w**2 - 9*w**2 wrt w.\nAnswer: -2034360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 430\/1849*(-43)\/(-4)*(-49)\/5?\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12120112000012 (base 3) to base 2\nAnswer: -1011010011010011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*h = 10, h = 2*a - 15 + 16. Put a, 3, -4, -10 in decreasing order.\nAnswer: 3, a, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2 + -3) - -1 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*(-28)\/(3500\/25).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33150 (base 6) to base 13.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 16, -33, -5, 11.\nAnswer: -33, -14, -5, -4, 11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 210 - 90. Let l be (80\/(-12) - -7) + (-7948)\/66. Let a = l + g. Is -1 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58902707.\nAnswer: 58902707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 2. Suppose -5*d - 41 = -y, -3*y + 2*d + 58 = -0*y. Suppose -y = -3*j - j. Calculate r(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 299*k - 759 + 1732 + 1718 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 221 (b) 5 (c) -0.5 (d) -1.23 (e) 79\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*t**2 + 17*t**2 - 7*t**2 + 7*t**2 in the form d + y*t**2 + g*t and give y.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**4 - 4*x**4 + 2*x**4 + (-8 - 16 + 1)*(-x**3 + x**3 + x**4 + (9 + 0 - 10)*(2*x**4 + 4*x - 4*x)) as r*x + z*x**2 + y*x**3 + d + f*x**4 and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4*(-8 - (-30)\/9). Suppose 5*n + g*n = 3468. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/7 - 28821404*n\/7 - 207668332132804\/7 = 0.\nAnswer: -14410702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.215, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + f**2 + 0*f + 0*f**2 - 3 + f. What are the prime factors of g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 - 67 - (-115 + 102 - (-7 + 0))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 0.4, -0.3, -6, -2\/7 in descending order.\nAnswer: 0.6, 0.4, -2\/7, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18710\/7 - -2674. Sort 2\/17, m, -1, -6 in ascending order.\nAnswer: -6, -1, 2\/17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + 18 + (-138 - -148)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 456*a**2 - 534*a + 105. Let k(z) = -35*z**2 + 41*z - 8. Let u(w) = 2*h(w) + 27*k(w). Factor u(r).\nAnswer: -3*(r - 1)*(11*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r**3 + 21*r**2 + 15*r - 23. Let f(p) = 3*p**3 - 10*p**2 - 7*p + 11. Let m(k) = -2*c(k) - 5*f(k). Determine m(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2. Let g be z(-1). Calculate the common denominator of g - 106\/14 - -3 and -89\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 94*w**2 - 5*w + 14. Let q be ((-164)\/205)\/(2\/(-5)). Is 38 a factor of t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1675 = 74*q - 69*q. What is the remainder when q is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-2)\/(-7) + (-891)\/(-189)). Solve 3*s + 5 = -j*r, 4*s + 4 = -4*r - s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = 5*f + 8, -8 = f - 7*z + 5*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9225 = 2082*a - 1634*a + 35209 for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.06 (b) -1 (c) -0.03 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*d + 276. Let t(o) = -o + 98. Let a be t(0). Suppose -5*p + d = 4*h - a, -4*h - 2*p = -170. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/(-1*sqrt(252)))\/(sqrt(28)\/(1*sqrt(4)*1)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154*n**4 - 427*n**4 + 62*n**4 - 87*n**4)*(-3 - n + 3 + (5 + 0 - 3)*(-3*n - 5*n + 6*n)).\nAnswer: 1490*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + 15 + 6)*(-1)\/(-18) and 29\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(2448))**2 + -3 + 4 + 3.\nAnswer: 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24*k = -31101. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1137*o + 1139. Let p be t(1). Solve -p = -2*c, -12*c - 3 = -b - 11*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 - 6 - (12 + -23)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k**2. Suppose 428*d - 78 = 865*d - 476*d. Let h(i) be the second derivative of -2*i + 5\/6*i**3 + 0*i**d + 0. Determine h(n(o)).\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 4*o**2 - o - 5. Let l be w(5). Suppose 55 - l = 10*u. Solve u*m = 11 + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330491 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10389 + -10385. Calculate the remainder when 20*((-1)\/2 - -1) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 35 = -42*o + 3*o. Let h(g) = -g**2 - 6*g - 5. Let w be h(-5). Solve -b + 1 = o*i, -5*b + w*i - 13 = i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + (-27 - (-36 - 91))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44032772?\nAnswer: 2, 7, 31, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-24)\/32*(2 - -2)). Solve f = 7*a - 10*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-20)*(-9 + 4) + -10. Let y be (-428)\/60 + 8\/z. Suppose -2*g = 2*g - 3*f + 30, 2*g = f - 16. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1493776 times 19?\nAnswer: -28381744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 7*c**4 + 3*c**4)*(2*c + 0 + 0 + (-3 + 1 + 4)*(-1 - c + 1) - 3 + c + 3 + 4 - 4 - 2*c - 4*c + 5 + 3*c - 3).\nAnswer: -12*c**5 + 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111201122112012 - -12?\nAnswer: -111201122112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*x = -162, 4*h + 4*x = 259 - 63. Suppose 4*q - p = 300, 2*q = 5*p - h + 184. Sort -2, q, 5 in descending order.\nAnswer: q, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2 + 3*n + 115679*n**2 + 2 - 115678*n**2. Let k(r) = -r**3 + 4*r**2 - 2*r - 2. Let d be k(4). Let j be 18\/d + 1\/(-5). Determine l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -0.5, -1\/118, 1, 659, -5, 2?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2021 + 2?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 8*g**2 + 2*g + 2. Let i be m(8). Suppose i = 5*k - 12. Solve 12 = 2*o - k*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1441*n - 688*n = 619*n - 32976 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s + 223. Let l(r) = -13*r - 3. Calculate d(l(w)).\nAnswer: 65*w + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1494 and 1098.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 623. What is the greatest common divisor of g and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -31\/474194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-4) - 3)*-13. Suppose -7*c = -2*c, -v + o = -3*c. Calculate the highest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7850194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1112 + -1112.01698. What is l rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -245*i**2 - 419?\nAnswer: -490*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 + 13.16. Let y = h + -14. Is y at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38716023 and 6581.\nAnswer: 6581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -19*a + 643. Let o(j) = -26*j + 639. Calculate -4*n(y) + 3*o(y).\nAnswer: -2*y - 655","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 61. Suppose 8*z - 6*z + 346 = k. Let m = -69 - z. Calculate the greatest common divisor of m and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-5 - (-5 + 7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19547 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(132) - (sqrt(132) - (sqrt(132) + sqrt(132) + -4*(sqrt(132) - 3*sqrt(132)))))\/(6*(sqrt(12) - sqrt(1728)*-2 - -1*sqrt(192))).\nAnswer: sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -65 (b) -1.2 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.81869206 - 0.8186. What is r rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 2*s = -392. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**7\/2520 - j**6\/90 - 2*j**5\/15 - 8*j**4\/9 + j**3 + 2*j. Let c(n) be the second derivative of i(n). Factor c(p).\nAnswer: -(p + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 b when four letters picked without replacement from {l: 7, b: 6}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 378.1 + -378. Which is the nearest to y? (a) 22 (b) -0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 + 3. Let g = -10.32 - -0.32. Let x = 10 + g. Which is the closest to -2? (a) u (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3) + -3 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + y**2 + 2*y + 5. Let x be r(0). Let o be x*(-6)\/10*-3. Calculate the highest common divisor of o and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2 + 89*w**2 - 16*w - 4*w - 9*w + 29*w. Let d(y) = -2*y**2. What is d(r(q))?\nAnswer: -15842*q**4 - 712*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330 + 28*v + 11*v + 46 - 3*v.\nAnswer: 36*v + 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**7*j*(j\/j**(-2))\/j*j)\/(j**0)**43 assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 5*m - 456. Suppose 2*p - 4*s = m, 0*p - 26 = -3*p + 4*s. Suppose 0 = z - 4*z + p*b + 9469, 5*z = 2*b + 15779. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735) - (sqrt(735) - (-1*sqrt(735)*4 - sqrt(735))))\/(sqrt(9)\/(sqrt(48)*6 + sqrt(3))) + -2.\nAnswer: -875*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3)*(-43*b + 519*b + 79*b)*(-2 + b + 2).\nAnswer: -2220*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 250\/7. Let t = 3 + 1. Let s be (4 - 3)*(t - 1). Which is the closest to -0.1? (a) j (b) 1\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from datktaaaaaaatadatsat.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 57*t - 1350. Let z be q(75). What is the biggest value in -2\/9, 2\/13, z, -2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10953 - 5438. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/783*3)\/1?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 450014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 14*c**2 + 16*c - 10. Let r be o(15). Solve 3*h - 1 - 1 = r*b, 3*b = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5069980 to the nearest 10000.\nAnswer: -5070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2714.402 days?\nAnswer: 234524332800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2804060002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-2)\/(-196))\/(-111 + (-3098)\/(-28)).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 623 + 370. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8953313 is divided by 4092.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -173*k**6\/3 - k**3\/6 + 13*k**2\/2 - 44*k - 4. What is the second derivative of t(y) wrt y?\nAnswer: -20760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2960 + 17?\nAnswer: -2946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4405 - 4135 = 5*i. Solve i = 22*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320*m - 1949*m**3 + 2383*m**3 - 97*m + 361*m wrt m.\nAnswer: 2604*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 151*c**2 - 434*c - 103672 wrt c?\nAnswer: 302*c - 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, -3, 4, -54, -12 in ascending order.\nAnswer: -54, -13, -12, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-4)*4\/2. Let a(x) be the third derivative of 0 - 5\/6*x**3 + 6*x**2 - 1\/12*x**4 + 0*x. What is a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 1)*(4 - 1 - 2) + 1 - 3 + 3)*(4*l**5 + 2*l**5 - 4*l**5).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1370822057 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 16*d**2 + 20*d**2 + 3*d - 10*d**2.\nAnswer: -6*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270 - -1168. List the prime factors of (30\/12 - 2)\/(1\/r).\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-10 + 2) - (18 + -65 + 6 + 125)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357476.\nAnswer: 2, 7, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 415983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 8. Let p = u - 11.055. What is p rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 3*u + 4. Let l be -15*4\/(-18) - (-30)\/45. Give w(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuguuuu. Give prob of picking 4 u.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -231 - -305. Let k(b) = -45*b + 5. Let n be k(-4). What is the highest common divisor of n and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 1, 11 in increasing order.\nAnswer: -57, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let k be u(3). Suppose 500*b + 39 = 513*b. Calculate the remainder when 10\/k*6\/4 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47855, 47887, 47907, 47909, 47887, 47835, 47747, 47617?\nAnswer: 47439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - w + 1)*(2 - 1 + 1) + (-50 + 28 + 24)*(3*w + w - 2*w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 185*u**2 + 1054*u - 3602. What is d(-179)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-1)\/(-6))\/(122\/18666*-51)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 28, -294 in ascending order.\nAnswer: -294, -2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -511.35 - -511.3499948326. What is o rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -3, -1\/2, 40?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 179, 136, 91, 44, -5, -56?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4137, 8258, 12381, 16506, 20633?\n\"Answer: u**2 + 4118*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 44*c - 1754. Give y(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 38, 40, 42?\n\"Answer: 2*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 0, -34, 1 in increasing order.\nAnswer: -34, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.989 - 4.382. Let v = -0.253 - c. Round v to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l - 37. Calculate the remainder when z(4) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47435809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*z - 5, 5*x + 7*z - 15 = 2*z. Suppose -q - 2 - x = 0. Let k be (-2)\/4*(-4 + 6). Sort k, -2, q.\nAnswer: q, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27102932?\nAnswer: 2, 6775733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -257 + -257?\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77321.\nAnswer: 167, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11755756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.7 + -2.3. Let t = -519 - -518.5976. Let a = t + h. Round a to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003030 (base 6) to base 15.\nAnswer: -e04c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289 divided by 159489.\nAnswer: -289\/159489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232562 and 59334.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 - 21*y**2 - 1 - 18*y**2 - 4*y**3 + 8*y**4 + 48*y**2 + 14*y**2 as b*y + d*y**2 + u*y**4 + z + t*y**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -4*f - 2*r, 3*f - 2*r + 2 = 0. Let x(z) = -z**3 + 5. Let q be x(f). Suppose -q*l + 240 = 3*n, 0*n = 3*n. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -132 - (10 + -19 + -78).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 3. Let t be v(-2). Solve 3 = c - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8490, -19867, -31242, -42615?\nAnswer: -53986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24189778 divided by 27551?\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:54 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10990 - 263671\/24. Find the common denominator of -38\/27 and r.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/14 + 286\/2. What is the tens digit of u*((-8)\/6)\/(1 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 8. Suppose -s = s - o. Let m(u) be the third derivative of -u**5\/60 + u**4\/12 + u**3\/6 + 2*u**2. Calculate m(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/3 - 17*v**4\/3 + 10*v**3 + 356*v**2\/3 + 440*v\/3 = 0. What is v?\nAnswer: -2, 0, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 976.5633 tonnes in kilograms?\nAnswer: 976563.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44887, 89950, 135201, 180640, 226267, 272082, 318085?\nAnswer: 364276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -698.164282085 + 0.0129\nAnswer: -698.151382085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 2*r - r + 2)*(2 + 4 - 5)*(-1 + 5 - 6)*(-r - 4*r + r) + 0*r**2 + 0*r**2 - 4*r**2 to i*r**2 + x*r + z and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.8. Let l = 5 + -4.735. Let s = l + 0.035. What is the closest to -2\/15 in s, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -665951.\nAnswer: -665951.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/46098 and -9\/394.\nAnswer: 46098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2607 (b) 0 (c) 6 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*362\/(-3)*(-9 + 10)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + -5. Let g = r + 21. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 240*b + 480. Let c(m) = -22*m - 45. Let a(r) = -32*c(r) - 3*i(r). Let s(d) = -57*d**2. What is a(s(j))?\nAnswer: 912*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3499952 and 63916?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2130, 4261, 6392, 8523?\nAnswer: 10654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2 + 17. Let q(x) = -x**2 - 13*x - 4. Let b = 18 + -30. What is the remainder when a is divided by q(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 24*k + 29. Let d be p(-23). What is the greatest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.018 + -26. Round g to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/120 - w**5\/12 + w**4\/6 + 7*w**3\/6 - 5*w**2. Give t(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i**2 + 3*i. Let b(n) = -23*n**2 - 5*n. Calculate 3*b(k) + 5*f(k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 642115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 1. Let m(n) = 10*n**2 + 3. Let l(s) = -2*m(s) - 6*r(s). Let w(a) = 2*a**2. Give w(l(f)).\nAnswer: 392*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 2. Let m(r) = -190*r - 3. Determine m(k) + 3*z(k).\nAnswer: -187*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-651)\/2*18\/(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -223*v**7\/210 - 181*v**4\/12 - 87*v**2. Find the second derivative of m(w) wrt w.\nAnswer: -2676*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n - 6. Suppose -3*c + 3*r = -n*c - 1, -4 = -4*c + 4*r. Suppose 0 = s + c - 4. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let c(g) = 14*g**2 - 25*g - 24. Let u(n) = 9*n**2 - 17*n - 16. Let q(l) = -5*c(l) + 8*u(l). Let k be q(6). Give f(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 2*t + 1. Let z be v(-3). Suppose 2*j + z*q = -2, 0*q + q = 4*j + 4. Let n = -2 - -3. Are n and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 41*c - 10. Let t(o) = -68*o + 19. What is 5*i(l) + 3*t(l)?\nAnswer: l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39237 and 99.\nAnswer: 117711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 603803 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e0 (base 15) in base 13?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -31.11. Let i = -0.31 - d. Let t = 0.3 + -0.1. Which is the third smallest value? (a) t (b) 2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (1 + 2 + (-133 - -124) + 8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 6*b - 5. Let k be j(3). Find the first derivative of 2*o - 165*o**4 + 158*o**k - 7*o + 81 wrt o.\nAnswer: -28*o**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g + 6. Let z be r(4). Let j be (z\/12)\/((-4)\/16). Factor 4\/3 - 6*f + j*f**2.\nAnswer: 2*(f - 1)*(7*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -88, -79?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/60 - 3*k**4\/8 + 17*k**3\/6 - 17*k**2 + 3. What is the remainder when s(4) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*(-15)\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 5, 208, -4, 0.1, 69.\nAnswer: -4, -2\/5, 0.1, 5, 69, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 610 - -463?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 4. Calculate the highest common divisor of q and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 793 = -o + 101, 0 = 5*o - r - 4575. Suppose 5*f = u - 3*u + 917, 5*f = u + o. Let j = f - 112. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 397 + -57. Let o = d - 149. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 249\/(-3486)*(-24)\/(-168)\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -644 and 1?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 89*h - 261 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 2*s**2 + 2*s**3 + 4*s**3 - 5*s**3 to o + d*s**3 + h*s**2 + c*s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29971.7 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*z + 13*z - 5*d - 7, d = -4*z - 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (171\/(-12))\/((-3)\/8). Let g = -22 + m. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/360 and 79\/1200.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 - 54\/(-8). Let d(z) = -62*z + 10 + 198*z - 49*z - 66*z. Is d(l) 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 26, 82, 234, 530, 1018, 1746, 2762, 4114?\n\"Answer: 8*q**3 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*l = 39 + 25, 2*f - 5*l = 34. Let o = -8 + f. Let h = o + 11. Solve 5*v + h - 5 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.26975 rounded to two dps?\nAnswer: 12.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 - 848*a**3 - 78336*a**2 + 2637824*a + 25690112 = 0.\nAnswer: -224, -8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m + 1. Let o(z) = -9*z - 1. Let r(l) = -4*o(l) - 3*p(l). What are the prime factors of r(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 15078.\nAnswer: 286482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 139, 3, 0, 33 in ascending order.\nAnswer: 0, 3, 33, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7057 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 32084.\nAnswer: -16042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142501?\nAnswer: 142501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 9 = -4*c + 24, -2*c = i - 7. Suppose -18 + 30 = c*s. Suppose 0*h = s*h - 17700000. Round h to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*f, 3*o - 9*f = -13*f + 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 530642 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4799, -4762, -4725, -4688, -4651, -4614?\nAnswer: -4577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59235, -118481, -177721, -236955, -296183, -355405?\n\"Answer: 3*k**2 - 59255*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -8 (c) 1.1 (d) 9 (e) 925\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4938*o - 275019 + 23228 - 385901 + 148830 for o.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1091216805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 459023*d - 1377077. Give y(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14591853 times -9?\nAnswer: -131326677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -56. Suppose -r + m = -0*r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -161477972*-0.1\nAnswer: 16147797.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408453 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/3 (c) -14 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k - 49. Let y be g(7). Suppose f + 486 = y*f. Calculate the lowest common multiple of (-4)\/6 - 152\/(-12) and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51491088 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y**3 - 1. Let t be 0\/3 + 1 + (2 - 4). What is u(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2591 + 8625380.\nAnswer: 8625380.2591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8891597, 17783195, 26674793?\n\"Answer: 8891598*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 2546 (b) 1\/2 (c) -5 (d) 1478\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44, -53, -62, -65, -56, -29, 22, 103?\n\"Answer: c**3 - 6*c**2 + 2*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7547 + 7602. Calculate the smallest common multiple of l and 300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/4? (a) -0.5 (b) 1\/8 (c) 5 (d) 93 (e) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/4 - 26*b**3\/3 - 12*b**2 + 30*b + 33. Let a be v(-25). Let z be 2\/(-4) + 0 + 1. What is the closest to z in -1, 4, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.2 and 895192.\nAnswer: -1969422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 65854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 - -152. Find the third derivative of 2*h**2 - 14*h**4 + 9 + 10*h - i*h - 16 - 3*h**3 wrt h.\nAnswer: -336*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 50 = 622. Let s = 13 - -10. What is the remainder when j is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-270)*(-3)\/2)\/((-3)\/(333\/1)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.18 or 5.23?\nAnswer: 5.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -123*r + 125. Is u(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*380\/(-5) - -3.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -170*t + 342. Give p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8178\/661 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/71 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (29 - 24)*(-114)\/10. Suppose 3*a - 7*a + 360 = 0. Let w = a + t. Solve -2*i - 4*l + 6 = 0, 2*l - w = 4*i + i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/3536978 and -25\/7?\nAnswer: 24758846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/5 - z**4 + 4*z**3\/3 + 6*z. Solve b(h) = 0 for h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {k: 1, h: 8, l: 2, q: 1, p: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*f - 2. Calculate the lowest common multiple of 58 and f.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/8 (b) 0.5 (c) 9.07 (d) -0.6 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40\/(-6))\/((-1)\/24). Let j be (3\/2)\/(6\/c). What is the highest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - 4 - 72*n**4 - 2 + 13 + 82*n**4 to the form o*n**3 + g*n**2 + d + z*n + x*n**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/48 + (-3959)\/(-3). Let p(b) = 13*b**2 + 7*b + 3. Let x be p(-5). Let m = c - x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/12650 and 107\/417450.\nAnswer: 417450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18518560.\nAnswer: 2, 5, 115741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 921*c - 1108. Let r be x(-3). Round r to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/12)\/(1\/(-57)). Let j = n - 13. 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: Calculate (-86)\/(-172)*10\/(-4)*8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 8 - (-7 - -1). Suppose -i*b + 9 = -0*b. Calculate the common denominator of 1 + b\/36*166 and 67\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 124*d - 151 - 224 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a + 76. Let q be s(-9). Put 0, 8, q in increasing order.\nAnswer: q, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a + 44. Is 6713\/77 + 2\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 6*m**2 + 4*m + 5. Suppose -6 + 38 = 4*r. Let x = r - 12. Let g(k) = -5*k**3 - 13*k**2 + 9*k + 11. Calculate x*g(v) + 9*n(v).\nAnswer: 2*v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -12?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 6*t + 21 = -2*m, -t - 3 = m. Is 6 a factor of -7 - (-11 - m) - -197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13152 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.92 + 28.43. Let s = p + 21. Let i = -0.510039 + s. Round i to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(304) + sqrt(304) + 1*sqrt(1900) + sqrt(1900).\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 32*l + 44. Determine q(-32).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 102905696\/5 and 20581138 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.410660623 rounded to 5 dps?\nAnswer: 0.41066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0. Suppose 4*w + 4 = -4*o, -w - 3*o - 1 = 13*o. What is the closest to -0.6 in -2\/21, -0.3, w, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407, -403, -397, -389, -379, -367, -353?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148985378.\nAnswer: 2, 3, 23, 925109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 11. Give c(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.9, 2855\/2, -2, 8\/9, -1\/2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 148, 605, 1382, 2491, 3944?\n\"Answer: 2*t**3 + 148*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5534334 is divided by 425715?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4587491 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.4 and 52281906.\nAnswer: 52281910.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - o**3 - 10)*(-26*o + 14*o - 28*o) as b + r*o**3 + j*o + w*o**2 + a*o**4 and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-16))\/((-74)\/(44252\/69))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blffbblbblflb. Give prob of sequence ffbl.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374549728 plus -3443?\nAnswer: 1374546285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 12:59 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -33.5. Let s = 16.4934 + t. What is s rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, 7, -1, -3, 8 in ascending order.\nAnswer: -24, -3, -1, 2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 17. Let z be o(13). Calculate the least common multiple of -1 + (z - (-1 + -150)) and 12.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3 - -90.3. Let r = -82.628 + x. Let m = -0.3 + r. What is m rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5397045*r - 2156 = 5397094*r for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -10. Let k(v) = -v**2 - 3*v + 2. Let t be k(-3). Suppose t + 3 = 5*i + 5*d, 5*i + 27 = 3*d. Put 0, y, i in descending order.\nAnswer: 0, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-27)*-1*-2. Let v = 0.01 + -0.01. Let o be -1 + 0 + (-4 - -2). What is the closest to 1 in o, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 + 2*a**4 + 24*a**3 + 8*a**2 - 32*a = 0. Calculate a.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.539 - -1.039. Let w = 8 + -12. Let j = w + 4.4. What is the second biggest value in j, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 43, 5\/3, -0.1763, -83, -1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2. Let i(u) be the second derivative of 2*u**3\/3 + 13*u. Give i(j(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -100400000 to the nearest one million.\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33570, -67513, -101828, -136515, -171574, -207005?\n\"Answer: -186*c**2 - 33385*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p**2. Let g be l(-1). Let n be (-1 + g)*-1 + 8. What is the greatest common divisor of 99 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w + 58 + 55 - 54*w**2 - 118 + 9*w in the form h*w**2 + a*w + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1453.58 - -1454. What is the biggest value in -3\/4, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvjpwpljkpl. What is prob of picking 1 k, 1 w, and 1 v?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 9 = 0. Suppose -3*x + 3*v - 27 = 0, -2*v + v = -5*x - 29. Suppose b - 4 + 15 = -3*q, -2*b - 14 = 2*q. Put r, x, q in decreasing order.\nAnswer: r, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45637.\nAnswer: 47, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 326308 != 24\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273 and 42?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 101, 225, 399?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 14*a**2 - a + 17. Let s be c(14). Suppose -106 = -s*d + 122. Suppose 4*z + d = 4*k - 2*k, 5*k = -z + 135. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 29*s + 6 + 9 + 17*s. Let j be v(-13). Factor 1\/4 - 1\/2*p + 1\/4*p**j.\nAnswer: (p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i**2 + i + 2. Let w be l(8). Let o be ((-140)\/(-84))\/(663\/162 + -4). What is the highest common divisor of w and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 9:00 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4487.2 - -4455.183. Let u = 32 + s. Let v = u - -4.017. Which is the second biggest value? (a) 1\/7 (b) v (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58403 divided by 1999?\nAnswer: 58403\/1999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 12873. Let t(h) = 3*h. Give x(t(o)).\nAnswer: 18*o**2 - 12873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*y**3 + 3*y**2 + 3 - 7*y**2 + 0*y**3 + 5*y**2 + y**2 to w*y + t*y**3 + a + i*y**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 26288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002704357 to 5 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9547 by -22.\nAnswer: 9547\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/12 + k**3 + 2*k**2 + 2*k. Let p be n(6). Let r = 918 - 915. Solve -r*h + p*c + c = 0, -c = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/10)\/(-1) - (-273)\/105. Let m(o) be the third derivative of -1\/420*o**5 + t*o**2 + 0 + 0*o**3 + 0*o + 1\/168*o**4. Determine p, given that m(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 10.3\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 1 a when three letters picked without replacement from {c: 3, l: 2, a: 7, w: 7}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + -1)*1*-6 - (sqrt(108)*1 - sqrt(27)\/sqrt(9)*-3)**2.\nAnswer: -237 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}