diff --git "a/data/dm_maths/full_data_1/2114_11255.jsonl" "b/data/dm_maths/full_data_1/2114_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2114_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 3099 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + p - 9182*p**3 + 9181*p**3 - 80 - 2*p**4 + 2*p in the form g*p**2 + z*p**4 + t + i*p + h*p**3 and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -17. Suppose 0 = -3*z + g - 61. Let q = 24 + z. Solve 3*f + q = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13481*c**2*f**2 + 5*c**2 + 6001*c*f - 2*f wrt f.\nAnswer: 26962*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 56. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.22 - -70.27. Let n = i - 107. What is n rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/30*3 - (-4 - -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864 < 0.56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**6\/15 + 14*g**5\/25 - 11*g**4\/10 + 2*g**3\/3 - 45. Factor u(o).\nAnswer: -2*o**2*(o - 5)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 503 times 31.7079\nAnswer: 15949.0737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*d + 50 + 160. Which is the closest to -42? (a) -0.2 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -13*p**5\/60 - 5*p**2. Let n(i) = -2*i. What is u(n(b))?\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -634035.6412 + -3?\nAnswer: -634038.6412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1622 - -1609.984. What is m rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 801795570*a**4 - 62*a**2 - 47*a - 7439 wrt a?\nAnswer: 19243093680*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * -7.651.\nAnswer: 260.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/11136 and -59\/704.\nAnswer: 122496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5322\/11 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.2 (c) -9.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:41 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 4)*(3 - 6 + 0 + 0 + 4 - 2 + (3 - 4 + 3)*(2 - 3 + 3))*(4*u**2 - 3*u**2 - 2*u**2).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6460 and 15980.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 91*g**2 + 1171*g - 113511. Give v(90).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 + 4*u**4 - 6*u**4 + (2*u**3 - 2*u**3 - u**3)*(u - 4 + 4) - 1622*u**4 - 3394*u + 3394*u to the form s*u**4 + f + y*u**3 + g*u + c*u**2 and give s.\nAnswer: -1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -23*l. Does 23 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 258 - 254. Let m = -297 + 302. Solve 3 - 8 = -n*g + b, -b = 5*g + m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3475.842 to the nearest 10.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74344?\nAnswer: 2, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12000202000112 (base 3) to base 5\nAnswer: 1140444144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 1 + 1)*(0*c + 14*c - c)*(-1 + 1 + c).\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 8826189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 192 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 490*q + 571. Is d(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - 42)\/((-3)\/10500). Round u to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -302\/23 - -1231\/92. Which is the nearest to h? (a) -4 (b) -0.4 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.24 greater than 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 + 96\/128. Let g = -15.179 - -1.179. Which is the nearest to -0.7? (a) 2 (b) t (c) g (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1470*u**2 + 2*u + 12673.\nAnswer: -2940*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -241, -245, -249, -253, -257?\n\"Answer: -4*x - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -1\/6*n**3 + 2*n + 0 + 0*n**2. Let d be 2\/9 - (-70)\/90. Let x(f) = 14*f + 2. Calculate d*x(r) + 12*k(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {j: 7, u: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, -61, -499, -1133, -1969?\nAnswer: -3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -y + 19 + 1, -2*y + q = -35. Let k = y + 20. Suppose -2*f + 50 = l, -l = -0*l - 2*f - k. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1116 + -2574?\nAnswer: -3712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2904 and 16\/2943?\nAnswer: 2848824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*m**2*u**3 - 2184*m**2*u**2 + 151002*m**2*u wrt u.\nAnswer: 60*m**2*u - 4368*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*g + 76, 3*b - 80 = -3*g + b. What is the smallest common multiple of (865\/175 + -5 + (-11580)\/17850)\/(6\/(-51)) and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -34. What is the first derivative of 2*a - 17*a**2 - 15 + x + 16 + 8 wrt a?\nAnswer: -34*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-12)*(-3)\/2. Let u(i) = -l - 3 + 0*i + 0 - 2*i. Let c(d) be the second derivative of -7*d**3\/6 - 15*d**2\/2 + 4*d. Determine 6*c(b) - 22*u(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15993893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 19*t**2 + 1937*t - 42431. Determine l(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23155.47 months to years.\nAnswer: 1929.6225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -2\/19 (b) -111 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u + 2*u. Calculate the common denominator of 1 + 0 - (2 + (-60)\/(-21)) and 3 - ((-43)\/(-8) - u).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -2)\/3*5. Suppose 4*q + q + 2*g - 53 = 0, -k*q - 4*g + 51 = 0. Suppose 2*m - 47 = -q. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4740, -6604, -5582, -1674, 5120, 14800, 27366?\n\"Answer: 1443*u**2 - 6193*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1681051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 41*q**2 - 3*q - 97. Is f(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5*-81.\nAnswer: -283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*l - 3*l. Let t be (-21)\/l - (-5)\/10. Suppose 3*q - 7 = p, p - q = 3*q - t. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 1 q when three letters picked without replacement from plllq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4841, 9657, 14451, 19223, 23973?\nAnswer: 28701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -36. Let r be (-14)\/(-6) - (-10)\/15. What is the units digit of 2*r\/(t\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1961.114 meters to micrometers.\nAnswer: 1961114000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = 2229 - 2076 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - ((-1)\/1 + 0). Let x(b) = -b**3 - 7*b**2 + 29*b - 14. Let j be x(-10). Sort j, -5, a in ascending order.\nAnswer: -5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 7*v + 23. Calculate a(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15063 divided by -2998.\nAnswer: -15063\/2998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 122, 142, 164, 188?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 818 - (-3)\/(-4*18\/(-24)). Calculate the greatest common divisor of k and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -22 + (11 - (14 - 7) - -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164229 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 27*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450, -164, 1270, 4428, 9886, 18220, 30006, 45820?\nAnswer: 66238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 13 + 4*q**2 - 9*q + 4*q**2 + q**3. Let b be u(-10). Let m be (-2)\/4 - (-19)\/2. Solve -3*k = -m - b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 8:49 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20170.\nAnswer: 2, 5, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54b4b8 (base 12) to base 10.\nAnswer: 1346828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:24 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/4)\/u**(1\/6))\/(u**(-3\/11)\/u)**(-11\/6) assuming u is positive.\nAnswer: u**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -48\/7, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25, -1179, 2, -33 in decreasing order.\nAnswer: 2, 0, -25, -33, -1179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1465\/7 + -209. What is the nearest to 1\/6 in -2\/11, 1, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p + 6. Let j be u(-5). Suppose 0 = -5*o + o + j. What is the remainder when 32 is divided by o\/(-16) - (-138)\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -96, -130, -164?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128199 and 2547.\nAnswer: 384597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 7*c**2 + 6*c + 2. What is s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*-1)**2*-1.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)*1*5 - sqrt(960)\/sqrt(4))*-5)\/(4*(-2*sqrt(72))\/sqrt(6)).\nAnswer: 5*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxcxwxwcwcc. Give prob of sequence cx.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 2835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10000001010010 (base 2) to base 16\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -43*w**4\/4 - 38*w**3\/3 - w**2\/2 - 8*w + 3. Find the second derivative of n(t) wrt t.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20050465.963 rounded to the nearest one thousand?\nAnswer: -20050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + -64065?\nAnswer: -64032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50.1093 in -0.1, -4\/9, 8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17825684 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80 - 67 - 443*q - 13 + 3*q + q - 5*q + (-2*q + 2 - 2)*(2 - 2 - 1).\nAnswer: -442*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:53 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Let g(z) = 8*z - 29. Let x be g(7). Suppose 5*o - 33 = -4*n, -n - c*o - 2*o + x = 0. What is the smallest common multiple of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466283151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 38*g**2 + 34*g - 3. Let p be u(1). Solve 10*w + p = 33*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77.85 - -1.85. Let n = -78 - o. Which is the closest to -1? (a) 2 (b) 2\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/10)\/(4\/36). Let u = r - -58\/35. What is the second smallest value in -1\/2, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.8794 to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -101*f + 483 - 43. Let d(x) be the second derivative of 0 - 1\/2*x**4 + 3*x**2 + 24*x + 1\/4*x**3 - 3\/40*x**f. Factor d(z).\nAnswer: -3*(z - 1)*(z + 1)*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -153 (b) 3\/29 (c) 1 (d) 0.3 (e) -1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12247 is divided by 682.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 32*u**2 - 9674*u + 3019. Calculate r(302).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/7 (b) -0.9 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w*w)**(13\/2) assuming w is positive.\nAnswer: w**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 395*l*n**4 - 10*l*n**3 + 2*l*n**2 - 74237*n**2 wrt n?\nAnswer: 9480*l*n - 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(28) + -1)*-2)**2 - (sqrt(112) + 1)).\nAnswer: -20*sqrt(7) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -840851120 divided by -20.\nAnswer: 42042556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10527.996 - 10548. Let g = -0.004 - t. Let p = g + -19.9999742. What is p rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*v - 57, -5*v + a + 69 = -93. Let r(j) = v - 14 - 11*j - 19. Let m(y) = 3*y**2. Give m(r(l)).\nAnswer: 363*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52\/3*h**3 - 69\/2*h**2 + 61\/3*h + 8\/3*h**4 - 8\/3.\nAnswer: (h - 8)*(h + 2)*(4*h - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(3*b - 2*b - 2*b) + 49*b - b - 58*b - 8 to j + o*b and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**19)\/z**(1\/3))**(-11\/2))**(-2\/47))**(-1\/13) assuming z is positive.\nAnswer: z**(-649\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18142508 is divided by 42890?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10 - 365\/25. Sort -2, 3, p.\nAnswer: p, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*c = -4, -3*d + 2*c + 22 = -6. Let m = 0 + 2. Suppose -3 = y - m*y. What is the lowest common multiple of y and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 533143968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-2*z + 3 - 3) - 2 - z + 2 - 1949*z + 1503*z - 3348*z.\nAnswer: -3791*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Suppose m + m = 10. Let h(j) = -2 - 7*j + 10*j + 4. Let t(q) = -6*q - 5. Let d(p) = m*h(p) + 2*t(p). What is g(d(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + m**3 + m**3 + 2)*(-4 - 5 - 6).\nAnswer: 30*m**3 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeetpeepe. Give prob of sequence eepp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1408 - 7712 = -19*r. Calculate the smallest common multiple of r and 15.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:58 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 118581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/40 - 9*v**4\/2 + 557*v**3\/6 + 11*v**2 - 14. What is the first derivative of m(q) wrt q?\nAnswer: 9*q**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*t - 2*t + 4*n, 5*t - 18 = 2*n. Suppose -3*p = 3*v - 18, p + t*v = -2*p + 22. Let d be ((-9300)\/(-8))\/(p\/32). Round d to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1551179 + -77?\nAnswer: 1551102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14 + (-1167)\/63)*-3?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1220*y - 5. Let l(d) = -41496*d - 171. Give 171*b(z) - 5*l(z).\nAnswer: -1140*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 0.0772.\nAnswer: -0.6948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 - (-74 + 62) - -3 - -118?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k + 21. Let v be z(-4). Solve l - 2*t - 2 = -6, 0 = 4*l - v*t + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792159 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 456 = 12*a. What is the remainder when a is divided by 14*(-6)\/(-28) + (-36)\/(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*g**2 - 346 + 346 + (8 - 12*g + 0 + 14*g)*(-3*g + g + 0*g) to the form y*g + j*g**2 + i and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*y - 122*y - 151*y - 177*y + 28*y.\nAnswer: -502*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jccccjcmj. What is prob of picking 4 c?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*d - 275*d - 223*d + 142*d + (-1 - d + 1)*(0 + 1 + 1) + (3*d - 7*d + 2*d)*(14 - 2 - 6) to the form w + q*d and give q.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -47, -81 in increasing order.\nAnswer: -81, -47, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*t = 153*t - 100 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1125 - -24322?\nAnswer: 23186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 20 = 0, -2*m - 2*m = 3*y + 39. Let u be (-137)\/m - (-2)\/12. Let h = u - 4. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/134770217 or 0?\nAnswer: 7\/134770217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29567.4325+7987\nAnswer: -21580.4325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 73 + 13 = 28*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 10 (c) -2.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrllddl. What is prob of picking 2 d and 2 l?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/3 (b) 0.3 (c) 3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-4)*(-56)\/(-84)*50781 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 9*d**2 - 21*d - 2. Let q be w(11). Suppose 0 = -q*c + 4*c + 390000. What is c rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -25*o - 3. Let b be s(-5). Let r = b + -608\/5. What is the closest to -2 in r, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:53 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + sqrt(7) + -5 + 5 + sqrt(112) + 1)*-1.\nAnswer: -5*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from tppll?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/8 and 45\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4, -2*n - 20 = t - 5*t. Suppose -t*o + 6*o - z = 4, -5*o = 4*z + 16. Differentiate -c - 4 + o + 4*c + 2*c with respect to c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*g + 28 = g, 0 = 2*v + 5*g + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31259087473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449, -530, -625, -740, -881?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 22 = 2*f. Let u(l) = -4*l**2 - 2*l**2 + 6*l**2 - f*l**2. Let c(v) = -28*v**2. Give u(c(g)).\nAnswer: -1568*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*s, n = -s - 4*n. Suppose s = -m - 0*m + 7. Let d be 7*(0 - -7 - 2). Calculate the greatest common divisor of m and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + i - 1. Let b be m(-2). Let j = b - -3. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x. Let k(i) = 9823*i. What is k(z(u))?\nAnswer: -127699*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 459 + -456. Solve 11 = -i*t + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o*o*o\/(o**(-1\/5)*o)*o)**30*((o\/o**1*o)**(-12\/7))**(3\/25) assuming o is positive.\nAnswer: o**(1014\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19058806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782475926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2077 greater than or equal to -2076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -61998*q**2 - q. Let t(w) = -w**2. Let a(i) = h(i) + 3*t(i). Let f be a(-1). Round f to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (25 + 0)*(-12)\/(-10) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-10)*8\/6. Let l = -17.8 - -19.1. Sort u, l, -2.\nAnswer: -2, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*i - 3712 + 4237 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjopoooggpggogoooo. What is prob of picking 1 p and 1 g?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*d - 22, 0*l + 4*l = -d + 25. Let r(c) = -l*c + 0*c + 6*c - 10*c. Let w(h) = -2*h. What is w(r(j))?\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8014.48446 + 0.0778\nAnswer: -8014.40666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -84970000 to the nearest 1000000.\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15499222 to the power of 1\/2, to the nearest integer?\nAnswer: 3937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**5 + 2*d**4 + 2*d**3 - 8*d**2 + 2. Let v(n) = -n**4 - n**3 + n**2 - 1. Let z(a) = -l(a) - 2*v(a). Find the third derivative of z(w) wrt w.\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (86 + -42)) + 1 + 15\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 26. Let z = u - -35. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x - 2. Let p(v) = -v**2 - 11*v + 10. Let t be 3\/2 - 54\/4. Let w be p(t). Determine r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or -67.712?\nAnswer: -67.712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160 + 76 + 9*m**2 - m**3 + 85 + 4*m**3 to the form q*m + n + k*m**3 + s*m**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpuja. Give prob of sequence ulj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6814?\nAnswer: 2, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:56 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 17 - 133 = 0. Let o = -4172 - -4317. What is the greatest common factor of o and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*(-10)\/(-15)*(-184)\/115. Let h(o) = -o**2 + 9*o + 136. Let y be h(17). Factor 0*p + 0*p**3 + 2\/15*p**4 - l*p**2 + y.\nAnswer: 2*p**2*(p - 2)*(p + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 358 and (-26)\/(-3) + 1 + 688\/(-24) + 29.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -0*k. Let q be 0\/(k\/(-2)*-4). Suppose w - 2 = -q*w. Solve -5*n = -10, -4*i = -2*i - w*n + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -87ac + -18?\nAnswer: -87c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1214? (a) -3 (b) -11.2 (c) 1\/6 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4935*z**5 + 87534*z**2 wrt z?\nAnswer: -296100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)\/(i**(1\/4)\/i*i)*i**(-8)*i**(3\/7)\/i)**(2\/65) assuming i is positive.\nAnswer: i**(-2167\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2521883 and 1476707.\nAnswer: 3959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 1. Let m(t) = -5*t + 3. Let w(z) = m(z) - 2*s(z). Suppose 5*g - 200 = -5*g. Calculate the lowest common multiple of w(-3) and g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 52*c**4\/7 - 296948*c**3\/7 + 753360*c**2\/7 + 548272*c\/7 - 1735232\/7 = 0.\nAnswer: -19\/13, 2, 5708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = 2*h. Suppose -118 = -2*u - h*r + 78, -2*u - 4*r = -186. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - 135 - 5*k - k**3 + 201 + 7*k + k as l*k + n*k**4 + d + q*k**3 + b*k**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -27 - 8) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4.4. Let y be ((-27)\/6 - -3) + 2. Which is the closest to 2? (a) q (b) 5 (c) y (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3149, -6239, -9321, -12425, -15581, -18819?\nAnswer: -22169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144959627 is divided by 267.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -419*-4\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 343850713*n**4 - 332673869?\nAnswer: 1375402852*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -11922609?\nAnswer: -11922607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 11:28 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5693364 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 not equal to 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059363?\nAnswer: 17, 121139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/(57\/532)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 536*o + 14 = -532*o, -5*q - 3*o + 28 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:36 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*f - 24636 = 121*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14541*k + 247258. What is h(-17)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from mmlvlmmhvmmvmy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/178)\/((-385)\/(-140))?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 128, 120, 106, 86?\n\"Answer: -3*l**2 + l + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*o + 6\/5*o**2 - 3\/5*o**3 - 6\/5 = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/2 + d**4\/2 - 6*d**3 = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 26*n + 33. Let x be z(20). What is x rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17657.77ml in litres?\nAnswer: 17.65777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -112. Let y = 51.825 + 0.175. Let k = y - p. Which is the second smallest value? (a) 1.3 (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -550\nAnswer: 1\/550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 8, d: 1, w: 1, g: 3, q: 4}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 113, 262, 471, 740, 1069, 1458?\nAnswer: 1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(-3*m + 3*m + 2*m + (-4 + 0 - 6)*(70*m - 143*m + 79*m))*(0 + 0 + 2*m) to x + z*m + a*m**2 and give a.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 0 + 4*y**2 - 4*y + 3*y + 1. Let v(m) = m. Let w be v(7). Let r(a) = a - 11. Let c be r(w). Calculate o(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7335035 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 6*m**2 - 10*m + 17. Let a be g(7). Let j(z) = 2*z + 51. Let o be j(-28). Sort o, a, -25.\nAnswer: -25, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**3 + 55472*v**2 - 187174100*v - 35927255000 = 0.\nAnswer: -182, 7025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255111, -506702, -758293, -1009884, -1261475?\nAnswer: -1513066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 774214 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444 and 9.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -t + 3*t - 9, -3*t + 2*o + 3 = 0. Suppose -2*x - 22 = -94. Suppose 6*n - x = t*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -708 + 405. Let k = x + 714. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -11, -8, -5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 1, i: 2}. What is prob of sequence ich?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391400000 rounded to the nearest one million?\nAnswer: 391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-9))\/(-1) - (-93)\/9. Suppose o*a - 19 = 31. Solve 14 = -3*h + a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1878010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9267*c*h**2 + 33133469*c*h + 17237*h**4 - 2*h**3 + 3*h wrt h?\nAnswer: 18534*c + 206844*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221850879*z**3 + 267019*z**2 + 97.\nAnswer: 1331105274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 5*j - 6. Let r be c(-6). Does r = 10\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-11)*q**11)\/(q**3*q)**(1\/13) assuming q is positive.\nAnswer: q**(295\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/40 - 12\/(-15). Which is the closest to p? (a) 0 (b) -3 (c) 0.4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.266*-108.088.\nAnswer: 28.751408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3120 and 104369655?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:12 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7589845 rounded to the nearest one hundred thousand?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*d + 172*d - d**2 - 345*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + 15221*o**2 - 3003957*o + 148534155.\nAnswer: -(o - 45465)*(o - 99)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 24*d - 1. Let h be m(1). Suppose -3*y - 4*k - 172 = 0, -4*y + 29*k - 188 = 24*k. Let u = h - y. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 56 = -35. Suppose -g*q - 15 = -3*j, j + 2*q = -0*j - 10. Is j bigger than -3\/667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 69401.\nAnswer: -347005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:15 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4582 plus -2689?\nAnswer: -7271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -13, -14, -11, -4, 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 divided by -1240?\nAnswer: 199\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2531495148.\nAnswer: 2, 3, 7, 13, 443, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -2\/9 (c) -4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = -26. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 370 = -3*o. Suppose 1521 + 187 = 14*w. Is o at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2\/9 + 155*d - 349\/9 = 0. What is d?\nAnswer: -349, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.36 + 0.06. Let c = l - -0.7. Let p be 12\/10 - (7 + -6). What is the second biggest value in p, -5\/6, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(28\/(-24))*12\/396?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/11, -0.1, -215?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33a93 (base 11) in base 15?\nAnswer: e8bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*t - 6*t. Let g be (-4 - t) + (2 - (-1 - -4)). Suppose -10 = h - 3*h. Solve -16 = w + 5*k, -g*w + 20 = -h*k - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -7. Let y(m) = 4*m + 70. Let n be y(l). Solve 0*i + n = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -1\/3*x**3 + 1\/4*x**4 - 3 + 0*x**2 - 1\/5*x**5 - 93*x. Calculate v(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051600 is divided by 1905.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -14134?\nAnswer: -14126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 213 and 1.02563.\nAnswer: 218.45919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 10:53 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from zoqo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 6. Let o = f - -12. What is the closest to o in -5, -4\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211989 - -1.6\nAnswer: -211987.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-5)\/4)*8\/(-60).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 46*n**3 - 7*n**2 - 3*n - 3. Let h(s) = -s**3 - 2*s**2 - s - 1. Give 3*h(p) - v(p).\nAnswer: -49*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -9. Suppose 474 + 791 = w*r. Suppose n = -n + 46. What is the highest common divisor of r and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 - 83. Suppose 3 = 4*s + 4*n - n, -3*n = 2*s - 3. Suppose a - 5 = -s*a, 0 = 5*p - 2*a - 50. Calculate the remainder when h is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 15*i + 28. Determine s(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 1. Let y be ((-4)\/3)\/(2\/(-6)). Let h(d) = d + 1. Let i(q) = y*c(q) - 5*h(q). Let g(w) = 5*w - 3 - w - 10*w. Give g(b) - 4*i(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5 + 4. Suppose -211 + 1 = -5*m. What is the remainder when m is divided by 12 + c*(2 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -265819\/213 - -1248. Is 1 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 35*o - 3. Let s be r(-31). Calculate the common denominator of -26\/35 and ((-793)\/78 - -11) + 706\/s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1697102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2378*k = 73379 + 5095 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 323299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -503 + 507 + (1 - 2) + -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.07 - 44. What is v rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7510 - -7674. What is the remainder when b is divided by 43 - 0*1\/4?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/8*(-60976)\/(-22866)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5709755*n**3 - 464*n - 14462 wrt n.\nAnswer: 34258530*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3 = -23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869543.\nAnswer: 869543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.236 + -0.764. Sort h, -3, 5\/6, -5 in descending order.\nAnswer: 5\/6, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -17*n + 119. Calculate the smallest common multiple of n and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*4 + sqrt(44)\/sqrt(4)*-5 + sqrt(121)\/(-2*sqrt(11)) + sqrt(11)*-2*-1)**2.\nAnswer: 6875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and -3*((8 - 4) + -14).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -419, -1456, -3177, -5576, -8647?\n\"Answer: y**3 - 348*y**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*a + 25021 = -3035 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 - 23*r + 38. Determine y(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-5)*o))\/o**(-6))**(-6\/17)\/(o**(-5)\/((o**(-3)*o)\/o)*o**(3\/2)\/(o*o**(-2\/15)*o)) assuming o is positive.\nAnswer: o**(-773\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 734548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 6 - 1) + -43?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (0 + 5) - (-10 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3557 + 6389. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from {l: 4, n: 2, g: 1, i: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, y: 6, o: 3}. Give prob of picking 2 m and 1 o.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*c = -4*k + 5, 3*k - 15 = 3*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 10:48 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**0))\/s)**(-4)\/((s**(3\/7)\/s*s)\/(s**(1\/9)*s)))\/((s**(-2\/5))**(-3\/26)*s**(-8)\/(s\/(s*s**0*s))) assuming s is positive.\nAnswer: s**(47651\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 863983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12558421*c**4 + 49406026*c**2.\nAnswer: 301402104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 37 = -82. Is l not equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 19) + (5 - 98) + 2 - -6.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2994 - 12103\/4. Let h = l + 32. Let n(v) = -4*v + 101. Let o be n(25). What is the smallest value in h, -3\/2, 4, o?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 26*z = 3006. Suppose -z*i = -497*i - 3596. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 15 = -91 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (5 - 4) - ((-15 - -12) + -20 - -22).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Calculate (2 - 12) + 7 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 + u**2 - 2*u - 2. Let o(s) = 7*s**3 - 3*s**2 + 5*s + 5. Let y(c) = 4*o(c) + 9*z(c). What is the remainder when y(4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 1:19 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -9) + 0 + 14 + -292 + 285.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 18684*d**2 + 18688*d.\nAnswer: -4*d*(d - 4672)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2665281, -5330603, -7995965, -10661367, -13326809?\n\"Answer: -20*t**2 - 2665262*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 - 74. Suppose y = -7*k + 5*k. Let p be (15\/1)\/((-4)\/k). Calculate the highest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40 + -4 + 21\/(-3))*(-35 + 38)\/9\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) 120 (c) -1 (d) -333 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaazaaaaavaavv. Give prob of sequence va.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:13 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwfddwfffdwwwwy. What is prob of sequence wwd?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 8995480?\nAnswer: -26986440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/3 - (-12)\/2. What is the units digit of (f\/15)\/(4\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 940515066 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4611049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 6*o - 4 = 0, 20 = l - 5*o. What is the smallest common multiple of l and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + -4. Let l = 29 + f. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 2:44 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.3, -33, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 801 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: Let o = 8 + -5. Suppose -o*u + 14 = -13. Calculate the remainder when 2\/(-3) + (-74)\/(-3) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 121*(-2)\/12. Let d be -1*(-224)\/10*-26*(-46)\/897. Let o = d - v. What is the common denominator of 71\/16 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023494833 to seven decimal places.\nAnswer: 0.0023495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*r - 130*r + 35*r)*(-5 + 5 + 2*r).\nAnswer: -248*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11002031233 (base 4) in base 5?\nAnswer: 314213131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 - (-27)\/5. Suppose -5*k - p*a = -25, -2*k - k + 2*a + 20 = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*u + 3*u. Let o(h) = 2*h + 22. Let d be o(-10). Let j be (28\/(-70))\/((-2)\/10). Solve 3*n = -d*l + 5*l, j*l - 4*n = u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let s be h(-4). Suppose -8*z = -7 - 9. Let a(u) = z*u + 2*u - s*u + u. Let g(x) = 8*x**2. Give a(g(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = p + 9. Suppose 3*k + 20 = -p. Sort -3, 4, k.\nAnswer: k, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -r - 22. Suppose -24 = -r*m + 32. Let l(w) = -4*w + 34. Let o be l(m). Solve 5*n = i, -o*i = 2*n - 0*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/8 - -33\/40. Let m = 0.7 + -0.2. Which is the nearest to 1? (a) m (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 30 = -i + 2*i, -88 = 2*i - 5*c. Is (i\/(-3))\/((-6)\/(-27)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 16 - 4) + 2 + (905 - 892).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21127.097 and 0.1.\nAnswer: 2112.7097","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 6, -10936.\nAnswer: -10936, -12, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3202030 (base 4) in base 14?\nAnswer: -53c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 152*r + 296.\nAnswer: 2*(r - 74)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 105815752 divided by -2711\nAnswer: -39032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4418.26l?\nAnswer: 4418260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3612 divided by 84\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)\/(x*x**(-1\/2)))\/(x**(1\/3)\/(x*x**6)) assuming x is positive.\nAnswer: x**(107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzbzzzzzbzzzbzz?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -18 + -6 + 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 34 = -2*z, 210*x - 213*x - z = 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3374, -6572, -9450, -11852, -13622?\nAnswer: -14604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:47 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t. Let l(r) = 75 + r + 72 + 23 + 35. Give h(l(y)).\nAnswer: 4*y + 820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2476 = 7*c + 2560. Let t(p) = -p**3 - 12*p**2 + 2*p - 25. Determine t(c).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 + 393 = -5*m. Let p(v) be the first derivative of -v**4\/4 - 7*v**3\/3 - 3*v**2 - 6*v + 34. Calculate p(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) -4 (b) -6 (c) 1696\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-5*13\/(-5))\/(1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000063486392 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1432 + 96.88946.\nAnswer: 97.03266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 6*f**2 - 9*f + 1. Let p be w(-7). Suppose -2*q = -5*q + p. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 3*x**8\/112 + x**4\/3 - 3*x**2\/2 - 2. Let o(j) be the second derivative of b(j). What is the second derivative of o(r) wrt r?\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8) - (-10)\/4. Suppose 3*f - 2*r = -r + 13, -f - z = -4*r. Solve 0 = 5*u - f, -3*u = -3*g - 3 + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from cnnnnnncnnnnn?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*j = -770, -3*j - 876 = -5*h + 1055. List the prime factors of h.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:47 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7038232 and 125768?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105\/2 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*m - m. Suppose -7*l = -m*l + 4. What is the tens digit of 16 - (l - (-2)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6932\/7 greater than or equal to 991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1038 + -593. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, b: 5, i: 4}. Give prob of picking 4 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3095024.\nAnswer: 2, 19, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from dzdwzzdwzdzdzzdzzww.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836 and 334172?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25.5 and -37462809.\nAnswer: -37462783.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76624 + 10957184\/143. Let h = m + 2\/13. Let y be 315\/(-504) + (-2)\/16. Sort h, y, 3\/2 in ascending order.\nAnswer: y, h, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaz when three letters picked without replacement from {e: 2, i: 1, a: 2, z: 2, q: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2\/6 + 11*u\/2 + 16\/3 = 0.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 192, -5, 1, 2, -3 in descending order.\nAnswer: 192, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/68*(-748)\/(-119)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/24 and -17\/246.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-1 - 2) + 4) - -56. Let q = 60 - i. Find the second derivative of 207*g + q + 48*g**2 - 99*g - 109*g wrt g.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 + 141 - 276 - 4*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, 27, -1, -17.\nAnswer: -17, -1, 4, 17, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9512 plus 10794511?\nAnswer: 10794512.9512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -344, -566, -788, -1010, -1232?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*b = -w + 45, 5*w + 3*b = 37. Suppose -h + 10 = -3*h, h + w = 4*m. Let p be (-3 - -2)*(m + -4). Solve -2*u - u + 19 = -2*f, 5*f = p*u - 37 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + k + 47. Give v(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k + 0 + 0)*(-22*k**2 - 3*k + 12*k**2 + 13*k**2) + 3*k**3 + 0*k**3 - 5*k**3 to f*k**3 + a*k**2 + x*k + w and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*s - 4*s = -83, 0 = -n + 5*s - 5. Suppose 116 = -n*m - 4. Let r be (-2)\/((-4)\/3)*m\/18. What is the smallest value in 2, r, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6960\/101 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8056894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 617 or 0.1?\nAnswer: 617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182451, 362847, 543259, 723693, 904155?\nAnswer: 1084651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = 5436*i - 5416*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5705861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42.1 * -2367938.\nAnswer: 99690189.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, 3, -1\/22, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let k(l) be the third derivative of -29\/60*l**5 - l**2 + 0*l - 4 - 1\/3*l**3 + 0*l**4. Calculate w(k(m)).\nAnswer: 29*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 13856*f**2 - 22. Let x(b) = -4*b**3 + 41569*b**2 + 77. Calculate -7*q(d) - 2*x(d).\nAnswer: d**3 + 13854*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 695489046 to the power of 1\/3, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000461415 to 5 dps.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 less than or equal to 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*o + 24. Put o, -1, -8 in decreasing order.\nAnswer: o, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -54.54. Let q = w + -0.06. Let j = -12\/5 + 81\/40. Put -2\/9, j, q in increasing order.\nAnswer: j, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1732008 (base 11) to base 8.\nAnswer: -13170747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 16864635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12592 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**5\/30 - 5*w**4\/24 + w**3\/6 + 5*w**2 - 3*w. Let k(y) be the first derivative of z(y). Does 39 divide k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38045 or -38046?\nAnswer: -38046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 121945, 122235, 122531, 122833?\n\"Answer: 3*l**2 + 281*l + 121661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2365 and 154.\nAnswer: 33110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-6)*(-3834)\/(-3195). Solve -a*r + 6*q - 2*q - 16 = 0, -5*r = -q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**5 - 11265*s**4 - 421195*s**3 - 763635*s**2 + 1196100*s = 0.\nAnswer: -2215, -36, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 5*s + 2. Let v be i(-8). Let z(x) = -x**3 - 24*x**2 - 20*x + 35. Let r be z(-23). Let q = v - r. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -290 + 486. Suppose -4*c + 8*c - j = 0. What is the greatest common factor of c and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/6 and 89\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*j + 12 = 4, -5*v = -4*j - 26. Solve -v*p - 6 = 2*h, -10 = -7*h + 2*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Let n(v) = 11*v**2 + 1340*v + 40259 - 40259. Give u(n(h)).\nAnswer: 22*h**2 + 2680*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -842 plus 2.7?\nAnswer: -839.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 - 21\/(-14). Suppose 11 = l*h - 21. Suppose -v = 4*n + 5, -2*n = -4*v + 10 + 24. Solve v*j - 3*j = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c**2. Suppose 4*j + 102 = 4*n + 2*j, -5*j = 5. Let f(k) = -3*k + n*k - 19*k. What is y(f(v))?\nAnswer: 117*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -275\/4 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**3 - 42*d**3 + 83*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 20 = -14. Let c(p) = p**3 - 5*p**2 - 6*p - 7. Give c(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 - 4)*(-w**2 - w**2 + 4*w**2) + 7*w**2 + w**2 - w**2 - 2*w**2 - 14*w**2 + 23*w**2)*(w - 2*w + 2*w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/3 (b) 5 (c) -146 (d) 1661\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**19*f**(5\/3)*(f*f**(-24))\/f**(24\/7) assuming f is positive.\nAnswer: f**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275*d**2 + 113*d**2 - 50*d**2 - d + d - d**2 + (4*d - d - d)*(3 + d - 3) - 6*d**2 + 2*d**2 + 3*d**2 to t + k*d**2 + m*d and give k.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011124734 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -609 (b) -0.2 (c) -3\/4 (d) -2 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/((-1908)\/54)*4*1\/(-51)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:32 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 4)*(-4 - 66). Let r = -189 + z. Solve 0 = 2*p - 4*g - 18 - 8, -r = -p + 4*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 2*a + 59, -3*a + 6 = 0. Let p be 0 - (-2 + 2*h). Let s = -10 + p. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -9*q - 5*l, 111 - 48 = 5*q - l for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -3 - (-3 + 5). Solve 0 = b*h - u - 3, h + 3*h + 3*u = -9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 7:15 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 182, 526, 1034, 1706?\n\"Answer: 82*g**2 + 98*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/5)\/(2\/5). Let y(n) = -n**3 + 7*n**2 + n + 3. Let c(w) = w**3 - 8*w**2 - w - 3. Let b(o) = 3*c(o) + 4*y(o). What is b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025086515 to six decimal places.\nAnswer: -0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.44891 centuries in decades?\nAnswer: 314.4891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + u + 2*u)*(-3*u + 3*u - u**3)*((u - u - u)*(-1 + 2 - 3) - 48*u + 9*u - 20*u).\nAnswer: -114*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 114, -32, 2\/5, 3 in decreasing order.\nAnswer: 114, 60, 3, 2\/5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, x: 8, z: 7, t: 2}. Give prob of picking 3 z and 1 x.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 4*x**2 + x - 5. Let b(v) = -v**3 - v + 2. Let y be b(0). Let m be 2*(-2 + (-1)\/y). What are the prime factors of n(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -10. Let p = q + -6. Let d = -7 + 6.7. Which is the third smallest value? (a) p (b) d (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*k - 188526 - 159366 + 32157. Is 105 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 96 = -3*m - f, 0 = 2*m - 4*f - 76. Solve -32 + m = 2*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1242*v + 362. List the prime factors of h(24).\nAnswer: 2, 5, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7909873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 85 = 4*a, 4*a + 353 = 5*l. Suppose -235 = -3*m - l. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1409, 1353, 1297, 1241, 1185?\n\"Answer: -56*l + 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -35, -1, -33\/4, -0.37 in increasing order.\nAnswer: -35, -33\/4, -1, -0.37, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**3 - 21*o**2 + 6*o - 3. Let q be b(5). Suppose -5*j + p = 6*p - 3999990, -q*p = -2*j + 1600004. What is j rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/3 and 25\/1299081.\nAnswer: 1299081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, m: 8}. Give prob of sequence fff.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 - 72049952*g\/15 - 648899447900288\/15.\nAnswer: -2*(g + 18012488)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/(-16))\/(18\/(-48)). Let j be (32\/k)\/((-100)\/(-250)). Which is greater: j or -9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 20*z**2 + 2*z + 5. Is u(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 15*j - 176601. Suppose 2*l - 6*l + 16 = 0. Suppose -3*k = 4*z + j + 301149, l*k + 4*z + 480016 = 0. Round k to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/20 - v**4\/12 - v**3\/6 + 6*v**2. Let l be m(-1). Let p be (l\/(-28))\/(2\/(-6)). Do -1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151039606 to the power of 1\/2, to the nearest integer?\nAnswer: 12290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -46*r + 3510. Calculate the lowest common multiple of 234 and r.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(5 + 2) - 4. Suppose 4*w - 1531 = -5*r, -z*w + 5*r + 1122 = -0*r. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o + 8. Let g(p) = 7*p + 7. Let h(i) = 6*f(i) - 5*g(i). Let j be h(-5). Suppose -j = -4*l - 0*l. What is the third smallest value in -4, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**4 - 35127356*s**2 + 56448*s - 83.\nAnswer: -24*s**2 - 70254712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.95, 0.3, -2\/3, 5 in ascending order.\nAnswer: -2\/3, 0, 0.3, 1.95, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 2849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.093454861 and 0.1.\nAnswer: -0.0093454861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60320399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1695)\/60 + 15 - (1\/4 - 1\/2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/6)*a**(-3\/4)*a**(1\/14)*a**9 assuming a is positive.\nAnswer: a**(629\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**4\/24 + b**3\/3 + 6*b**2. Let h be x(1). What is the greatest common divisor of h and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2656*c**2. Let k(g) = -2*g. Determine k(q(x)).\nAnswer: -5312*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(7\/4)*r**3*(((r**(-1\/8)*r)\/r)\/r)\/(r\/r**(1\/10)))\/((r*r**(-1\/10))\/r**(-2\/13)*r**(-1\/5)\/r**8) assuming r is positive.\nAnswer: r**(5653\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + f = -3 + 15, 5*y + 24 = -f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0347 - -9.\nAnswer: 9.0347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000971118 rounded to 5 decimal places?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00080536734 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2449\/2 - 73567\/60. What is the common denominator of -151\/30 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let n(l) = l**3 - l**2 - l - 4. Let m be n(g). Let z = -11 - -8. Sort 4, z, m.\nAnswer: m, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 2*a**2 - 3*a**2 + (9 - 9 - 5*a)*(5*a - a - a) to d*a + g*a**2 + b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4594003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*h - 3*i - 0*i, 0 = 5*h - i - 20. Let r(q) = -q**2 + 7*q - 5. Calculate the remainder when h is divided by r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1809, -3615, -5419, -7221, -9021, -10819, -12615?\n\"Answer: m**2 - 1809*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(288\/6 - 1). Suppose 0 = -11*p + 206 + y. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + m)*(3 - 3 - 2*m**2) - 2525*m**3 + 412*m**3 + 15*m**2 - 5*m**2 - 10*m**2.\nAnswer: -2109*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*l + 186*l - 338*l - 948720 = 0. What is the least common multiple of l and 40?\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9814 > -10039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156.521 - 0.021. Let l = -156 + g. Let k be (21\/(-6) + 4)*10. Is k greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48144.99l in millilitres?\nAnswer: 48144990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83365721 by 2.\nAnswer: -83365721\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 1420\/13. Let b(k) = -k**3 + 5*k**2 - 4*k. Let v be b(4). Which is greater: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxf when three letters picked without replacement from {x: 2, f: 1, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + (-6)\/21. Suppose -2*u = c + 2, z = -4*c + 2*c - u + 2. Suppose -3275 - 1429 = -294*a. What is the highest common factor of a and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 297*u**3 + 18*u**2 + 9*u - 533. Let p(v) = 148*v**3 + 8*v**2 + 4*v - 269. Let y(c) = 4*d(c) - 9*p(c). What is the first derivative of y(a) wrt a?\nAnswer: -432*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -1\/2 (b) -320 (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - 84)*(95\/(-3) + -1). Round t to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*w**2 - 10219*w + 210925?\nAnswer: -76*w - 10219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*a + 485, 4*i = -a + 6*a + 406. Let k be 14\/6 + 0 + (-33)\/i. Solve 0 = -b + n + k, b + 2*n = -2*n + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, 4\/3, 5, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(300)*2)\/sqrt(10) + sqrt(30) + (-1*sqrt(270))\/sqrt(9))\/(sqrt(100)\/(sqrt(10) - 1*(sqrt(10) - sqrt(250)))).\nAnswer: -2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -176, -733, -1974, -4247, -7900, -13281?\n\"Answer: -58*u**3 + 6*u**2 - 169*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k**2 - k)*(4 + 1 - 3) + (-3*k - 4*k + 2*k)*(k - 3*k - 2*k).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130022223101 + -2?\nAnswer: 130022223044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -505, -1522, -3585, -7216, -12937, -21270?\n\"Answer: -87*d**3 - d**2 - 405*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403377589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 440*b + 400. Let s(c) = -3*c - 2. Determine 3*j(w) + 600*s(w).\nAnswer: -480*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 5, c: 1, a: 4, v: 1}. What is prob of picking 1 v and 1 t?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*i - 27168, -10036 = -2*i - 4*a + 8118. What is the thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 385, 386, 387, 388?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*b + 0 - 15*b - 2 + 54*b**2 in the form g*b**2 + a*b + r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z**3 + 4*z**3 - z**3 + (-1 + 1 + 2*z)*(-3*z**2 - z**2 + 2*z**2).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33044452 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 799 + -419. Calculate the greatest common factor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 347983587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98150.9mm to kilometers.\nAnswer: 0.0981509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v + v + 2*h, 2*v - 3*h - 16 = 0. Solve 2*y = -2*z + 12, 9 = v*z - 0*z - 2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -3690.6, -5 in descending order.\nAnswer: 0.08, -5, -3690.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 141831 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m - m - 11 - m**3 + 13 + 5*m**2. Let c be z(3). What is the third derivative of -6*a**3 - a**c + 6*a**3 - 6*a**2 + 2*a**2 wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102120201211010 + -1?\nAnswer: -1102120201211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.87 - -552.13. Let w = k + -528. What is the second smallest value in w, 10, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 3*t + 6. Let q be u(5). Let m(h) = -h**2 - 3*h + 4. Let p be m(q). Suppose -k + 15 = -p*k. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 6)*(5*c - 2*c - c)*(-3*c + 4 - 4) - 29*c**2 + 2*c**2 - 2*c**2.\nAnswer: -53*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3977 divided by 150?\nAnswer: -3977\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/150)\/(18\/45). Let f be (6\/8)\/(1\/60). Let s be (-2)\/(-9) - 28\/f. Are s and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-35) - (-312)\/(-273)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 121*n - 126*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 8 = 4*c + 4*p, 4*p = -c + 19. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -48*o + 13. Let b(u) = 103*u + 6. Calculate b(c(m)).\nAnswer: -4944*m + 1345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/18*(-7)\/154)\/(45\/(-30))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2\/7 + 23460\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56220.42 days to seconds.\nAnswer: 4857444288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -1\/2*z**3 + 0 - 16*z**2 - 1\/8*z**4 + 0*z. What is l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12166 - 27384?\nAnswer: -40561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*p + 4*p - 9*p + (-4*p + 5*p + 0*p)*(1 + 0 - 2))*(65*p + 117*p - 48*p) + 11 + 15*p**2 - 11 as l + g*p**2 + j*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d + 0*d)*(-d**3 + 3*d**3 - 6*d**3) + (83*d + 163 - 163)*(d**3 + d**3 - d**3).\nAnswer: 79*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-321*s + 139*s + 3 - 45*s)*(s - s + s**3).\nAnswer: -227*s**4 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45153, -180580, -406325, -722388, -1128769, -1625468, -2212485?\n\"Answer: -45159*h**2 + 50*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42926 and 9802.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*h + 276*h + 275*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 5738166.78 to the nearest 10000.\nAnswer: 5740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -8684078?\nAnswer: -8684082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {b: 1, g: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + j + 8 = 0, 2*b - 3*b + 5 = -j. Suppose 0 = 5*m + 2*g - 110, -m - 2*m = -b*g - 66. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 237686 - 237685.89. Let u = 0.2 + 0.8. Sort -1\/6, f, u, 0.\nAnswer: -1\/6, 0, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*h - 35 = 2*h, 3*t + 4*h - 7 = 0. Suppose 119 + 34 = 3*s - 2*u, -t*s + 255 = -u. Calculate the highest common factor of s and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/23 (b) -0.5 (c) 0.12 (d) 4 (e) -0.3 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, i: 1, a: 1, l: 2, s: 1, m: 2}. Give prob of sequence aeme.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*w + 8, -26*n + 9 = -25*n - 3*w. Suppose -2*b + 144 = 14*o - 9*o, -3*o = -b - 93. Calculate the lowest common multiple of o and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/66 and 39\/10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/2)\/(35\/(-10) - -7))\/((-180)\/210).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/3 (b) -1 (c) 0.2 (d) 1 (e) -2\/99\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 619.692ug in milligrams?\nAnswer: 0.619692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:36 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1.73.\nAnswer: 0.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3961 - -3.3961. Let k be (-10)\/(-25) - (-1)\/(-5). Which is the second biggest value? (a) -5 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-14)*1\/(-3))\/(5324\/(-681472))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 357299070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 412.0845 - 412. Let x = d - 0.06. Round x to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 323368014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639985917 is divided by 840?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14896505 to the power of 1\/2, to the nearest integer?\nAnswer: 3860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -51*y. Let h(n) be the first derivative of -6*n**3 + n**2\/2 + 1991. Calculate h(z(u)).\nAnswer: -46818*u**2 - 51*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8495 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 15*o**4\/4 + 3680*o**3 + 97910*o**2 + 119120*o - 124020 = 0.\nAnswer: -954, -26, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82297 is divided by 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 3\/38, 0.1, -1093?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 184, 111, -158, -743, -1764, -3341, -5594?\n\"Answer: -20*f**3 + 22*f**2 + f + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*r + 4338 = -5027, 0 = 2*w - 3*r - 3755. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -1. Let h = 7 - 0. Suppose 3*l - 1 = -h. Sort o, 5, l in ascending order.\nAnswer: o, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 8586076.\nAnswer: 94446836","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (4 - 19 - -19) + (-1 - -80)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(50) - sqrt(2)))**2 + (sqrt(1250))**2.\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (321\/(-15) - -3)\/((-10)\/175)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 348*s - 368*s = 45, -3*f - 21 = 2*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27532*p - 27510*p - 550616 = 0. What are the prime factors of p?\nAnswer: 2, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 3.55.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-372)\/(-24) + -8)\/1*(1456\/(-42))\/13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100101 (base 2) in base 15?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**4 - 1334*d**3 - 13*d - 216903 wrt d.\nAnswer: -4*d**3 - 4002*d**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3\/70, -0.5, -0.3, -8, 245 in increasing order.\nAnswer: -8, -0.5, -0.3, 3\/70, 8, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28445837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704067.\nAnswer: 3, 7, 13, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o + 88 = -127 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d (base 14) to base 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 229309275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -149879.74 to the nearest 1000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 8*h**2 + 7*h - 10. Let o be -13 - (2 + (-30)\/5). Let b be y(o). Suppose 87 - 247 = -b*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**5\/20 + x**4\/2 - x**3\/3 + 3*x**2\/2 + 20*x - 6. Calculate g(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 2*l - 15. Let u be x(-6). Let d(z) = -3*z - 4. Let n(y) = -7*y - 9. Let q(h) = -7*h - 9. Let g(a) = 4*n(a) - 3*q(a). What is u*d(b) - 4*g(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10535 + 26?\nAnswer: 10564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 34*j**3 + 0 - 24*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 3. Let n = 2 - 1. Suppose 0 = -m + 4 + n. Suppose -3 = -2*o + m. Calculate d(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 6*a**2 - 17*a - 4. Determine i(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 44 - 149. Let y = -9207 + 9211. Suppose -y*t + 59 + b = 0. What is the greatest common factor of t and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60238658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 126*x**2 + 163*x + 4559. Calculate u(-127).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + -363. Let q = 446.24 + y. Is -1 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 2132425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from zfcaefcm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 a factor of 16381914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 823393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -15. What is the highest common divisor of 56 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -5\/2494 (c) 0.1 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 56049*a**2 - 28167*a**2 - 28359*a**2 - a as o*a + i*a**2 + m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = i + 2*i - d, -2*d = -8. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - -0.41.\nAnswer: 9.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*i = -0*i - 15, -18 = -2*l - 2*i. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qva when three letters picked without replacement from qmrmvmqrarrqma?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 8. Let s be l(-7). Let t = 8 - 1. Suppose 5*v - t = s. Solve 3*q + 5 = -3*d - 4, -5*q = -v*d - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 13)\/(-2 - (-20)\/12) + -3. What is the greatest common divisor of v and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 55. Calculate the least common multiple of ((-42)\/(-8))\/(12\/32) and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -24216?\nAnswer: 24216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**4 + 9*p**2 + 2*p - 166 wrt p.\nAnswer: -48*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*k = -24, 4*k = h + h - 30. Let o be 6\/(0 + 6) - h\/(-3). Suppose -4*m = -u - o*u + 6, -u = -2*m. Solve -3*i = u*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -r + 11, -k = -3*r - 12 - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*c + 757 = -288*c - 182 - 877. Let t be 1\/1 - (-8)\/(-2). Let r be 8\/(-30)*(3 - -2). What is the third smallest value in c, r, 0.3, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*k + 1665 - 5857 = -k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa - 6?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**4\/5 + 4076*n**3\/5 + 6588*n**2 - 78092*n\/5 + 8216 = 0.\nAnswer: -10, 1, 1027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 95 - -4315?\nAnswer: 43aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + sqrt(32)*-2 + (sqrt(2) - (-2 + (3 + sqrt(2) + sqrt(2))**2)).\nAnswer: -15*sqrt(2) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owowwww. Give prob of picking 1 w and 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/240 - a**5\/120 - 5*a**4\/24 + 2*a**2. Let r(f) be the second derivative of l(f). What is r(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22690 is divided by 71.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -240140 divided by 34?\nAnswer: -120070\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3508.215 + -14.8.\nAnswer: -3523.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o**3 - 4*o**5 - 12*o**3)*(-2 + 4 + 0 + (-1 + 2 - 2)*(-1 - 4 + 4) - 3 + 6 - 1).\nAnswer: -20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1931.93325 to the nearest ten.\nAnswer: -1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 38. Let t(j) be the second derivative of j**5\/20 + 7*j**4\/12 + 5*j**3\/6 - 2*j**2 + 3*j. Let u be t(-6). Put u, f, -5 in increasing order.\nAnswer: -5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 15) to base 3\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (58431\/(-5) + 80\/(-100)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231759.\nAnswer: 3, 11, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1050267416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 3*j + 5. Let x(u) = -4*u**2 + 10*u + 16. Let k(p) = -7*q(p) + 2*x(p). Give k(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4*k + 14226, u - 4*k - 7123 = -k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/27 + (0 - 1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 divided by -122?\nAnswer: 287\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 43469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1055, 1074, 1109, 1166, 1251, 1370, 1529, 1734?\n\"Answer: l**3 + 2*l**2 + 6*l + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41727.6798 - 41724. Round o to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1821?\nAnswer: -1826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17165.4 + -17165. Which is the nearest to -10? (a) y (b) 2\/31 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-6 + sqrt(2) - (sqrt(2) + (-2*sqrt(200) - sqrt(200))))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*1*(-6)\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 2*f + 2. Suppose 2*w + 28 = 4*v - 122, -105 = -3*v - w. Let a be ((-4)\/8)\/(6\/v). Let r(y) = -5*y**2 + 5*y + 5. What is a*r(g) + 8*q(g)?\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -35. Suppose 3*o - 575 = -2*q, u*q + 2*q - 2 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -443854\nAnswer: -5\/443854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3122601 (base 7) to base 8\nAnswer: -1335361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + -0.04. Suppose -58 = 2*f - 26 - 32. Let c(y) = -2*y + 1. Let r be c(1). Put 5, p, r, f in increasing order.\nAnswer: r, p, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/14? (a) -1\/8 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06278 and 4.\nAnswer: -0.25112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) + sqrt(60)\/sqrt(3))*-4)\/(-6*(sqrt(2) - -1*sqrt(2))))\/(-3*(sqrt(72) - (sqrt(72) - 2*sqrt(72)))*2).\nAnswer: -sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -2, -14, 4 in descending order.\nAnswer: 4, 5\/3, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(143) + sqrt(143)*-4*-1))\/(sqrt(132)\/(sqrt(36)\/sqrt(3)*6 - sqrt(12)))*-4.\nAnswer: 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 19*r = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 134680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27243 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002691565983 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(-4 + sqrt(1053) + (-1*sqrt(1053) - sqrt(1053)) - 1*sqrt(1053)*2)*1)**2.\nAnswer: 17496*sqrt(13) + 768933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*y + 5*y. Suppose 7*f = 9*f - y. Solve 4*c - 3 = j, -f*c + 0*j = j - 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 - 10 = 0. Suppose p*t - h - 104 = 155, 5*t + h - 251 = 0. Find the second derivative of -t*n**2 + 28*n + 115*n**2 - 47*n**2 wrt n.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-242.1.\nAnswer: -3147.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**32\/t*t**(-26)*t**(-7)\/((t*t\/t**(1\/12))\/t*t) assuming t is positive.\nAnswer: t**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 1060*k + 2128.\nAnswer: -2*(k - 532)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238 + 176. What is the third biggest value in 3, d, 3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5, 9 = 2*b + 3*g - 4. Let s(o) = 2*o - 6. Let n be s(b). Suppose -n*f - 543 = 11457. Round f to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - 47 - -1 - -45.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 848, 844, 840, 836, 832, 828?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, -2\/19, 44, 0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33873452 is divided by 8335?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-6))\/(10\/705). Let w = 131 + h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1537015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1621256 and -5\/3536?\nAnswer: 3242512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5155 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: Rearrange (2 + 2*b**2 - 10*b**2 + b**2)*(19 - 19 - b - 5*b**2) to the form m*b**2 + x*b**4 + d*b**3 + z*b + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 4. Let g be (-3 - -3)\/(3 - 5). What is s(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199637447.\nAnswer: 23, 179, 48491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*x = 20, -2*r + 2*x + 10 = -4. Suppose 5*n - 4*s = 3*n - 408, -r*n - 604 = 2*s. Let b = n + 333. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186255731 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 50*u - 2146. Let x be m(43). What is the second smallest value in 0.06, x, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-63)\/(-12))\/((-1)\/(-8)). Let s = -92 + r. Let n = -26 - s. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/16 + (-1)\/2. Suppose n = 2*o - 6*o + 28. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -24 (b) -2 (c) -4\/81 (d) -1\/3 (e) 0 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/5 - 38*i\/5 - 84\/5 = 0. What is i?\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4389b2 (base 14) to base 8\nAnswer: -10571360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 3 - 2*y + 3*y + 8*y**2. What is the remainder when m(2) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(15\/10))\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -65833, -65835, -65837, -65839, -65841?\n\"Answer: -2*a - 65831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhookhkkohkkho. What is prob of sequence ko?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1011 + -140. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/64310 and -131\/167088.\nAnswer: 91062960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppqppppppqppqppqppp. Give prob of sequence qpq.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -3) + 1 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 677, 674, 669, 662?\n\"Answer: -u**2 + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/36 - (22 - 5432\/252)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 587742160681\/7785 + -75496744. Let v = q + 1\/865. Let -4\/9*k**3 + 2\/3*k**5 + 0 + 0*k + 0*k**2 - v*k**4 = 0. Calculate k.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53950*t**2 + 7647 wrt t?\nAnswer: -107900*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**3\/3 + 1. Let d(g) be the second derivative of g**4\/12 - 19*g. Calculate l(d(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*b - 1670 + 1674, 0 = 5*b - 5*q - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -10. Let x = d + -3.09. Let f = 0.11 - x. Sort 5, -0.1, f in ascending order.\nAnswer: -0.1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1646400 and 26656?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -46*q**7\/735 - q**6\/105 + 23*q**5\/35 - 20*q**4\/21 - 8*q**3\/21 + 53*q**2. Solve o(c) = 0.\nAnswer: -2, -2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21837 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.4 + 10. Let z = -182.5 + 212.5. Which is the third smallest value? (a) r (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6102\/42 - 4\/14. Let w = 1597\/11 - l. Let r = -5 - -3. Which is the second biggest value? (a) w (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -129*c - 557. Calculate s(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -20*n**2 + 127*n + 127. What are the prime factors of r(-22)?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 116.\nAnswer: 13\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -35246 (b) 5 (c) 9 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**3 - 3. Let x(l) = -12983*l - 4 - 7*l**3 + 12983*l. Calculate 4*u(s) - 3*x(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141766 and 2628.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776 - 915 = 89*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 2*v - 1. Let a(y) = -y**2 - 5*y + 8. Let r = -4 - 2. Let l be a(r). Determine t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -407*k + 69439. Determine u(171).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2045 and 25\/11.\nAnswer: 22495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (-7 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(378)\/sqrt(9))\/sqrt(6) + sqrt(63)\/(sqrt(576)*5).\nAnswer: 41*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 - 3*l - 11. Let a(k) = 5*k**2 - k - 6. Let u(h) = -7*a(h) + 4*n(h). Let t(c) = -c - 7*c + 6*c. Let j be t(-2). Calculate u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-11)\/20 - (-81)\/108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 + 11*n + 99. Let a(y) = -6*y**2 - 25*y - 199. Let i(r) = -3*a(r) - 5*q(r). Calculate the least common multiple of i(-6) and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19, -0.5, 0.046, 2 in descending order.\nAnswer: 19, 2, 0.046, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6176, 12324, 18470, 24614, 30756, 36896, 43034?\nAnswer: 49170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/3 + 652*v**4\/3 - 20344*v**3 + 1225972*v**2\/3 + 1287658*v\/3 = 0.\nAnswer: -1, 0, 29, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-70)*10\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v + 38 = -71*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(99)\/(sqrt(9)\/sqrt(3)) - (sqrt(33) + ((sqrt(2112)*-2 - sqrt(2112)) + sqrt(2112) - sqrt(2112))))\/((sqrt(891) - sqrt(891)*2)*1))*5.\nAnswer: -40*sqrt(3)\/3 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 385.9999845 - 386. Round f to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.4 - -10.4. Which is the second smallest value? (a) 2.1 (b) 0.3 (c) -0.3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*b**2*j + 1319*b**2 + 3431968*b*j**2 - 2*b + 20829 wrt j.\nAnswer: 14*b**2 + 6863936*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21279*f*i*t**3 + 5*f*i - 266723*f*t**3 wrt i?\nAnswer: -21279*f*t**3 + 5*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598635 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 47*b**2 - 82*b - 6. Calculate x(-48).\nAnswer: 1626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 37*f**3 + 299*f**2 + 19*f + 50. Calculate c(-8).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 33967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 1)*(-3*u - 3*u**2 - 2*u**2 + 6*u**2 + (0*u + 2*u + 0*u)*(5*u - 2*u - 4*u)) to o + r*u + z*u**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3))**(1\/31) assuming n is positive.\nAnswer: n**(-3\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1, -1059, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 880 and 339?\nAnswer: 298320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -16\/10282225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8 and -31\/4750.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 4*n. Suppose -4*o - 14 = t, -5*t - 2*o - o = 2. Suppose -6 = 3*w, -9 = -5*u - t*w + 7. Let m(x) = 2*x**2 + 5*x. What is u*m(k) - 5*p(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 2273358.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -h - h. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-2) - 5)\/(2 - 1). Let j(k) = 3*k - 7. Let q be j(5). Solve q = -2*r, 0 = -3*f - 4*r - 18 + h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29420 + 135344 = -2504*v + 9882 - 30414 for v.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2396 - 2438. Let c be (6\/21)\/((-54)\/y). Find i, given that -10\/9*i + c*i**2 + 0 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(-1))**38)**(-37) assuming s is positive.\nAnswer: s**(-2812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 4*u - 2*u)*(2*u + 3*u - 2*u)*(-u + 4*u - u)*(0 + 5 - 3).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 1 + (-90 - (21 + -62) - -8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -y + 15, 5*y - 3*y = -s + 10. Let v(c) = -c**2 + 6*c + 10. Let z be v(y). Let w(l) = -l**2 + l - 3. Determine w(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 2. Let n(p) = -1. Let o = 41 - 40. Calculate o*m(y) + 2*n(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68531\/6 greater than or equal to 11423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/5))\/s)**(-3\/17)*s**(1\/4)*s\/(s*s*s\/s**(-8\/5)) assuming s is positive.\nAnswer: s**(-1163\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o - 45*o**2 + 5 + 0 + 16*o - 22*o + 47*o**2. Calculate y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -268 (b) -1.3 (c) -139 (d) 108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -871 + 905.9. Let i = 35 - d. Let t = -0.07 - 0. What is the third smallest value in -0.4, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 173 = 6*s - 5*s, 0 = -k - 1. Let j = -103 + s. Let a = 66 - j. What is the biggest value in -0.1, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(11942*i**3 - 13900*i**3 - 6 + 6) as k*i**2 + b + g*i + x*i**3 and give x.\nAnswer: 1958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19693362*h**3 - 103333598*h**2 + 1?\nAnswer: -118160172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 101*r**3\/3 + 6*r**2 + 53*r - 32. Is b(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/12*3)\/((-13)\/(-52)). Suppose 4*s - 5*v + k = -1, -v = s + 3. Sort -8, 0, 4, s.\nAnswer: -8, s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -34. Let a(x) = -95*x**3 - 13*x**2 - 4*x - 11. Let i(l) = -48*l**3 - 6*l**2 - 2*l - 5. Let u(t) = -4*a(t) + 9*i(t). Is u(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (8 + 3 - -8) + -59\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30579 (base 12) to base 6.\nAnswer: 1203433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - s. Let z(x) be the first derivative of x**3 + 11*x**2\/2 - 20*x - 59. Let m(l) = 2*t(l) + z(l). Determine m(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -30 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1 + 2*r**2 - 2*r + r**2 - 6*r**2 - 6*r**2. Let y(m) = m**3 - 32*m**2 - 7*m + 223. Let z be y(32). Calculate s(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-4)\/(64\/(-12))). Solve 9 + 3 = r*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10 + 11)*(7 - 7 + 5*g)*(g + 4*g - 4*g)*(-1 - g + 5*g + 5*g).\nAnswer: 720*g**3 - 80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 16*f + 1 + 0 - 5*f. Is v(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g - 11. Let q(h) = 9*h - 8 + 0*h + h + 2. Let i(o) = -6*d(o) + 11*q(o). Let r(f) = -7*f. Give i(r(j)).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 321 by 4.\nAnswer: 321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (4 - 3) + 9 - 36\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -10*w + 16*w. Let m(h) = -72*h - 4. Let r be m(w). Let b = 12 - 4. What is the smallest value in -0.1, -0.5, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128009, -127994, -127979, -127964?\nAnswer: -127949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**7\/735 + h**6\/105 - h**5\/42 + h**4\/42 - 3*h**2 + 35*h. Let o(z) be the first derivative of w(z). What is t in o(t) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34692 or 34691?\nAnswer: 34692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k - 2*n = -10, 0 = 4*k + 3*n - 4. Let v(s) = 3*s**2 + s + 1. Let o(w) = -9*w**3 - 66*w**2 + 19*w - 2. Let r(h) = k*v(h) - o(h). Factor r(b).\nAnswer: 3*b*(b + 7)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-7)*c)*c\/(((c*c\/(c*c*c**12)*c)\/c)\/c))**(-47)*(c\/(c*c*c**(6\/5))*c**(2\/15))**(-1\/3) assuming c is positive.\nAnswer: c**(-44384\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 15. Let c = o - 5. Solve -3*q = -5*a - 12, c*a + 16 = -q + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2702 and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/((-22)\/(-6) - 4). Let a = 174 - z. Is 65 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 55, 0.4, 1839, -4, -4\/7, -3, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1333 - 65319\/49. Let i = -108\/245 - l. Let h be (-2)\/24 + (-3)\/(-9). What is the closest to i in 0, -3, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1166, -1202, -1276, -1400, -1586, -1846, -2192?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-30360)\/160)\/(825\/(-200))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2106 + -1460?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 22*x. Calculate k(6).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**6\/15 + 31*j**5\/10 - 86*j**4\/3 + 284*j**3\/3 - 144*j**2 + j + 1608. Let v(d) = 0. What is d?\nAnswer: -36, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190 - -195. Which is the third smallest value? (a) d (b) -9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11818049629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyylhyhyyly. What is prob of sequence hl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -3)*(-1)\/(-4). Let o be -2 + -2*(-1 + 2). Let v = o + 11. Calculate the greatest common divisor of v and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5810 to the nearest one hundred.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00164435 to six decimal places.\nAnswer: -0.001644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.580507 + -7.58. Round c to five dps.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25389\/(-156))\/31*6*(-4)\/(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14403886?\nAnswer: 2, 7, 251, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 8 = -4*r, 3*u + 10 = 2632*r - 2637*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77702 + 2*s**2 + 191266 + s**2 - 609 + 1641 - 1800*s.\nAnswer: 3*(s - 300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 22. Solve -5*n = -i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1377112 and 97\/500768.\nAnswer: 5508448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 21*n - 689 = -2*f - 9*n - 745, -4*f - 6*n - 48 = 0 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 13 + 12)*(-3*w**2 + 4*w**2 - 4*w**2)*(0 + 3 - 1) in the form m*w + u*w**2 + c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 13*a - 14*a. Let r be 1\/5 + 7\/(140\/a). Let i(p) = -r*p + 163 - 163 + 2*p. Let h(n) = 16*n. Give h(i(f)).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17534?\nAnswer: 2, 11, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 515 - 319. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.9650006701 - 11.965. Round z to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q. Let c(g) = -5*g - 402. Let s(a) = -14*a - 1213. Let x(n) = 11*c(n) - 4*s(n). Calculate x(o(w)).\nAnswer: 11*w + 430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2858 and 0.3.\nAnswer: -2857.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/5 - (1 - -13). Let a be (17 + x)\/((-6)\/(-8)). Suppose 0 = a*p - 3*p - 15. Solve p*n - 2*d - 7 = -2*n, -14 = 2*n - 5*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 29. What is the second smallest value in b, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**3 - 6*q**2 - 13*q + 6. Let v(d) = d**3 - d**2 + 4*d + 1. Let j(k) = r(k) + 6*v(k). Give j(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.09, -9, 5, -2\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 8:05 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*y + 1. Suppose f = y + 3. Solve -6*w + 3*w - f = h, 2*w - 3*h + 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39357 greater than 9170161\/233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by -90.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353 divided by 466.\nAnswer: 353\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-918)\/(-935) - 2\/5*(-10)\/(-22)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306047 is divided by 21860.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3473*s - 48472. Calculate v(-14).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*h**4 - 7*h**4 - 2*h**2 - 8783*h**3 + 8783*h**3 + (11*h**2 - 26*h**2 - 5*h**2)*(2*h**2 + h**2 - h**2).\nAnswer: -44*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 546*n - 2136.\nAnswer: -3*(n + 4)*(n + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 6. Suppose 0 = x - k*x + 25. Suppose -4*g + 7*g - 4*q = 28, 0 = -4*g - x*q - 4. Solve -b = -5*l - 16, 3*l = g*b - l - 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4590 - 293?\nAnswer: -4883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d*s**4 - 51*d*s - 119157*s**4 + 33293 wrt s?\nAnswer: -84*d*s**2 - 1429884*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*s - 32860 - 35363 = -3763. Is 2931\/5 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 32. Suppose 11*s - 40 - m = 0. Suppose 2*j - 313 = -t + 4*t, 0 = s*j - 3*t - 623. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -2\/3, 2\/11, -5, 37?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 3. Let z be t(-3). Suppose -5*s = -s - z. What is the highest common divisor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 133*j**2 + 198*j - 135. List the prime factors of v(-63).\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 1 (b) -6 (c) 3\/20 (d) 0.107 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -928.2? (a) 0.466 (b) 3\/4 (c) -0.5 (d) -1 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Let l(u) = -u + 11. Let g(d) = l(d) + z(d). Let m(y) = -y + 5. What is 4*g(f) - 9*m(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84900.3830478 + 84900. Let m = -0.383 - u. What is m rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + (4 - 7) + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -76*x - 4. Let r(m) = -2*m - 1. What is 6*r(w) - t(w)?\nAnswer: 64*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 15 = -5*k, 3*k + 2*v = 405 - 414 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*r + 4, r - 2 = -16*v + 17*v. Let s(i) = i**3 + 6*i**2 + 3*i. Calculate s(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-1) - 2)*1. Let b be 2*7*6\/630. What is the third biggest value in y, 2\/21, b, 4\/7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:58 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 4. Which is the second biggest value? (a) z (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxmbbimbximbmm. What is prob of sequence mjbm?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**2 + 4. Let p(o) = 556*o**2. Calculate p(z(i)).\nAnswer: 45036*i**4 - 40032*i**2 + 8896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/7 - -8\/7. Suppose -k - 7 = -3*s, -5*s - 2*k = 5 - 13. Suppose -2*x + 4 = s*x. Which is greater: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15364399 is divided by 78.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/254397 and -7\/46254.\nAnswer: 508794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13931889 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 4*k - 9. Let m be z(-5). Suppose 5*s = -5 + 15. Let w = 0.3 + -3.3. Which is the closest to s? (a) w (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-10)*-18)\/((-8)\/40). Let p = w - -5. Factor 2 + 5*g**2 - 144*g + p*g - 2.\nAnswer: 5*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(14*(-54)\/(-252))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2 - 2*p. Let s(v) = -14*v + 85. Let b(q) = -5*q + 30. Let x(y) = -17*b(y) + 6*s(y). Calculate a(x(c)).\nAnswer: 8*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**4\/12 - 11*b**3\/6 - 2*b**2. Let j be w(8). Suppose j*c = 1122 + 6233. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53583.\nAnswer: 3, 53, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*z)*(254*z**2 - 4648*z**2 - 7082*z**2 - 28*z + 29*z - 1365*z**2).\nAnswer: 25682*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/64 + 2\/272?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25034, 25048, 25052, 25040, 25006?\n\"Answer: -t**3 + t**2 + 18*t + 25016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20159*s - 20643*s + 484 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -43, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -586234\/3 + 195418. Factor -2\/3*q**2 - 6 - c*q.\nAnswer: -2*(q + 1)*(q + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5781, 5773, 5751, 5709, 5641?\nAnswer: 5541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.023445l to millilitres.\nAnswer: 7023.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1820*z - 2 - 852*z**3 - 3626*z + 1803*z in the form p*z + u*z**3 + m*z**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let f be w(6). Let a be (f\/9)\/(2\/(-252)). Let t be (-354)\/2301 - (0 + 158\/(-13)). What is the highest common factor of a and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1187\/4 - -297. What is the nearest to 0 in -2\/3, -11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3106 (base 8) to base 3.\nAnswer: 2012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31312750327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:49 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/1404)\/(63\/(-97524)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 9 - 19 + 10.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*0.051\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2678*f**3 - 2977.\nAnswer: 8034*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189*h**2 + 2*h + 306 wrt h?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5432325?\nAnswer: 3, 5, 72431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -150, -361, -648, -1005, -1426?\nAnswer: -1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(242)*-2)**2*3 - sqrt(242)) + ((0 + sqrt(200))**2 + sqrt(200) - (sqrt(2) + -2 + -1)).\nAnswer: -35*sqrt(2) + 11819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10067*x**4 - x**2 + 520094 wrt x.\nAnswer: -40268*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/17 + 3034*p**3\/17 + 251502*p**2\/17 - 3034*p\/17 - 251504\/17 = 0.\nAnswer: -1429, -88, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 6663 = -30896. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1524 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -93 * 1.304\nAnswer: -121.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/2*((-1922)\/(-8))\/((-1)\/(-544)). Round j to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -125, -0.04, -2, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 149 = 4*y. Let o(v) = -v - 41*v**3 - v + 1 + y*v**3. Let i be o(1). Which is smaller: -7\/5 or i?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 6 + 5 - 5*v - 80*v**3.\nAnswer: -80*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 3*g**2. Let y(j) = 11*j**2 - 4*j**3 - 1431*j + 1431*j - 1193 + 1193. Let k be -20 - (-1)\/((-3)\/6). Calculate k*v(u) + 6*y(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1105, 4348, 9643, 16900, 26029, 36940, 49543, 63748?\n\"Answer: -15*j**3 + 1116*j**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 12*a - 8*a - 191856. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) 3069 (c) -45 (d) 1\/4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 116*d + 229. What is the units digit of t(41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (79 - (68 + -70))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -836506.21+0.02814\nAnswer: -836506.18186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 7\/8, -12, 1.1, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -414*z**3 - z - 398.\nAnswer: -2484*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26204 divided by -4?\nAnswer: 6551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/2 + 534*o**2 - 1015*o + 768. What is the derivative of c(d) wrt d?\nAnswer: -6*d**2 + 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51847424 divided by -2.\nAnswer: 25923712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6358563 times -121\nAnswer: -769386123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/40*2)\/(3\/(-6)). Which is the nearest to -8? (a) t (b) -2\/15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 - 63) + (3 + 0 - (-2 - -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 9*w**2 - 5*w + 9. Suppose -43 = -5*a - 4*z, 5*a - z + 10 = 43. Is 24 a factor of o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q = -12. Suppose -2*u = -5*h + q*h + 42, 5*u = 2*h - 57. Suppose 0*o = -o + h. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/56)\/(1\/(-4))*-1)\/((-582)\/(-1746))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124 - 768. Let w = i + 643.9998788. What is w rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -515 + 526. Is 78\/7 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-56)\/12)\/((-2)\/(-3)). Let j = o - -11. Sort -5, -4, j.\nAnswer: -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054 + -53225047490.\nAnswer: -53225047490.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*r - 78*r + 472 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 115523 (base 8) to base 11\nAnswer: 27969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11589 + 6120 = 5*r, -10628 = -3*r + 2*j. Suppose 615 = 4*u - 2*s - 2921, -5*s = -4*u + r. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43930 + 0?\nAnswer: 43930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-37674)\/46)\/63?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00180537339 rounded to 7 decimal places?\nAnswer: -0.0018054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -29*o - 3. Let k be (-11 - -1)*(9 - 8). Is j(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2. Which is the third smallest value? (a) 3 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 - -3.16. Let v = g + 1.94. Let p = 2.5 - v. Which is the nearest to 2\/7? (a) -4 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*s - 10*s - 19*s - 14*s + 32*s.\nAnswer: -46*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43147805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008992 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1859745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhb when three letters picked without replacement from {b: 2, h: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 2, 1061, 1, -5 in decreasing order.\nAnswer: 1061, 6, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 - 9*g - 4. Calculate the remainder when 37 is divided by l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/3 - 2*l**2\/3 + 16*l\/3 + 8 = 0. What is l?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -1.85, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-280)\/16*(-8)\/10. Suppose 16*u - g*u - 48 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*t - 20, -t - 4*t = -2*s - 24. What is the first derivative of -t*z - 15 - 8*z - 8*z + 0 wrt z?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 6*t**2 + 2*t - 3. Suppose -7*s = -36 + 15. Let q be l(s). Solve -5*m = 0, q = 3*b - m - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20242650 by 6747550.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:01 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17602364156\/527388343374753 - -32\/1237079095. Let k = -84220592837\/16200061200 - b. Let p = -54\/475 + k. What is the common denominator of p and 39\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*14\/1680)\/((-2)\/(-9))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (3 - -3)) + -5 + -1 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(475)*-1 - (sqrt(19)*2 + -4)))**2.\nAnswer: -504*sqrt(19) + 8523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*w = -w + 36361, 54569 = 3*r + 2*w. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264) + 4*sqrt(264))*-4)\/sqrt(8))\/(sqrt(30)\/((sqrt(100)*-4)\/sqrt(10) + sqrt(10))).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 264100 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmywmmwmwmrrrmww. Give prob of picking 1 r and 1 w.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 19 = -6*h. Find m such that -345*m**3 + 57*m**h + 47*m**2 + 442*m**2 + 234*m**2 - 3*m**5 - 624*m + 192 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/57 (b) 0.1093 (c) 10 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4915 divide 1437543267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 2. Let k(q) = 2*q**3 - 3*q**2 + 4*q - 2. Calculate the smallest common multiple of k(2) and s(-7).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8273\/45 + 917\/5. Let f = -0.3 - 0. Which is the nearest to -2? (a) 2 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25651 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 132887.\nAnswer: -8\/132887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2896945.\nAnswer: 5, 263, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 371\/1240534 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k. Let l(f) = -3*f**3 - 6*f**2 + 6*f. Calculate 4*g(z) - l(z).\nAnswer: -z**3 + 6*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35173673, -70347343, -105521013, -140694683?\n\"Answer: -35173670*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 12*h**2 - 12*h - 11. Let j be t(-11). Suppose 4*s + j*s + 436000 = 0. Round s to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 130*y + 854. Calculate k(71).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 1, -z - 35 = -3*h + 4*h. Let f = -728 + 727. Let r be (z\/2 - f)\/(-2). Calculate the highest common factor of r and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 14 = 4*l, l - 7 = 3*w - 7*w. Let s be w*584\/(-12)*(-15)\/(-10). Let b = -71 - s. Solve 5*y + b*o = -1, -2*y - y + 1 = 2*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9406 - 5?\nAnswer: -940b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 + -1)*(-2 + 1). Suppose 2853 = -12*v - 4143. Let l = v - -584. Solve -2*m - 11 = 4*p - l, -2*p - r = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 497 = 2*n, 0 = n - 6*s + 8*s - 253. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.2 (c) 0.07 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -2*v. What is the least common multiple of v and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iof when three letters picked without replacement from oiouuquijofo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3750, 7922, 12110, 16314, 20534, 24770, 29022?\n\"Answer: 8*c**2 + 4148*c - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2585246*3.\nAnswer: 9.7755738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or 8773951?\nAnswer: 8773951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -645, -2233, -5331, -10443, -18073, -28725, -42903?\nAnswer: -61111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138130261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v**(1\/2)*v)\/v)*v\/(v**2\/v)*(v**0)**(3\/10)*((v**(7\/5)\/v*v)\/(v\/((v*(v*v**7)\/v)\/v*v)*v))**10 assuming v is positive.\nAnswer: v**(149\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 - (-41 + 43 + 31) - -8.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 3. Let z be u(8). Let x(h) = 12*h**2 + 11*h + 10. Let g be x(z). Let v = g - 160. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488989 is divided by 1888.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3418, -5, 4 in increasing order.\nAnswer: -3418, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-17)\/x)\/x**24)\/((x*x*x**(-2\/31))\/x**(2\/5)) assuming x is positive.\nAnswer: x**(-6748\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 317858237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 776*b + 776*b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -82bbb - -c6?\nAnswer: -82ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 2*c + 440. Let o be (-5)\/10*c\/(-4). Suppose -5*z + 245 = -4*z + o*y, 3*z + y - 749 = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a decade?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, -1323, -1985, -2649, -3315, -3983, -4653?\nAnswer: -5325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45034.8 litres?\nAnswer: 45034800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/(-680) - (6 + (-2 - 2))\/((-10)\/2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 1\/3, -0.12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.626 + -7.626. Let u = 6 + -2. What is the third biggest value in -8, c, u?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1203475 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 2*i**2 - 3*i - 3. Let l(q) = 3*q**3 - 3*q**2 - 4*q - 4. Let j(m) = -4*l(m) + 5*y(m). Suppose 20 = 6*v + 8. Give j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -810080, -810111, -810162, -810233, -810324, -810435?\n\"Answer: -10*a**2 - a - 810069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13399018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/8, 13, -11\/3, 0.5, 163?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -40786*r**2 - 20*r - 16. Let v be a(-22). What is v rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 26*s**3 - 4*s**2 + 6*s - 5. List the prime factors of u(2).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 0.834. Let g = 0.056 - b. What is the nearest to 0.1 in g, 6, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 5) to base 14.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*y - 12 = 0, 2*h - 3 = -4*y - 9. Suppose -2 = 5*o - h*o. What is the units digit of (-1 - 1 - o)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35157763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 192430?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12325 and 682805.\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 17. Suppose 4*a - 3*a = n. What is the remainder when a is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73, 290, 663, 1198, 1901, 2778, 3835?\n\"Answer: d**3 + 72*d**2 - 6*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10432*q + 10432*q = 20856*q + 264 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37030 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**4))**(-1\/26) assuming c is positive.\nAnswer: c**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3\/2 + 1041*s**2 - 179568*s - 363312 = 0.\nAnswer: -2, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/345)\/(4\/6850). Let d = 30364 + -698483\/23. Let r = n + d. Find the common denominator of r and 7\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 24 = -18, 5*b = -j - 18. Put -5, j, 3, -1 in decreasing order.\nAnswer: 3, -1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(2*f + 4*f + 8*f) + (1 + 1 + 0)*(-f + 0*f - f).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 422\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5727? (a) 3 (b) 0.05 (c) 0.5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/13 + 44*z + 1152\/13 = 0?\nAnswer: -2, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 10 = 3*w, -4*v + 12*w = -13*w + 24*w - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137911212 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 2*a**2 + a**2 + (16*a + 17*a - 8*a)*(3*a - 3*a + 2*a) - 3*a**2 + 0*a**2 + 6*a**2.\nAnswer: 55*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -330*l**3*n + 12357*l**3*p - 647*l**3 + 16*l**2*n*p wrt p?\nAnswer: 12357*l**3 + 16*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28360 and 180?\nAnswer: 255240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -181\/1971?\nAnswer: -181\/1971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i. Let u(q) = -3035 + 9*q**2 + 3035 - 186*q**2. What is u(m(r))?\nAnswer: -6372*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/11, 8\/3, 3 in decreasing order.\nAnswer: 3, 8\/3, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/168)\/(2\/4)*(-42)\/2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 7. What are the prime factors of m(14)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27 + -1 + (-48)\/(-12). Let s = 30 - d. Let i be (0 - s)\/(14\/(-7)). Solve -2*p - 10 = -5*f + f, i = -p + 5*f - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h + 1 - 3 + 0. Let m be s(-3). Suppose -5*v = 4*b - 17, -19 = -m*v - 3*b - 2*b. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 8 + 5 = 0. Which is the closest to 4.5? (a) -4 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 6*p**5 - 2*p**5 + (-5*p + p + 2*p)*(-p**4 - 5*p**4 + 4*p**4) + p**5 - 3*p**5 + 4*p**5 - 3*p**2 + p**5 + 3*p**2 + 181*p**4 - 181*p**4 + 22*p**5.\nAnswer: 30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 512*c + 13951188 - 69*c + 5*c**3 - 13951191 - 2*c**2 in the form b + u*c + k*c**2 + i*c**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 52 = -13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4293, -8587, -12881, -17175, -21469, -25763?\nAnswer: -30057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1780, -1818, -1864, -1930, -2028, -2170?\nAnswer: -2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 83.086 and 0.187.\nAnswer: 15.537082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-48))\/(-3*1\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 3*f**3 + 2*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (235 - 30 - 1249 + 748 - 1016 - 1913)*(-x + 0*x + 2*x) as w + n*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -102*r**4 - 23*r**5 + 58*r**5 - 180*r**4 - 33*r**5 + (2*r**3 - 4*r**3 + 0*r**3)*(-4*r**2 - r**2 + 3*r**2).\nAnswer: 6*r**5 - 282*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggtg when four letters picked without replacement from {d: 13, g: 3, t: 1}?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*t - a, -4*t + 3*a + 28 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 5*n + 9. Let a be (1\/((-3)\/5))\/(n\/(-99)). Let b = -56 + a. What is the nearest to b in -0.2, 1, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40243309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/((-3192)\/(-1406)) - 6. Let -1\/2*y**4 + 1\/6*y**5 + 0 + 0*y - d*y**2 + 1\/2*y**3 = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -0.065.\nAnswer: -0.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*x + 11 + 11, -a + 13 = 3*x. Suppose -a = -i - 4*b + 4, 2*i + b = 8. Let y = 4 + 1. Solve y*z = 5, -2*g - 2 = -i*z + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f - 6*f + 8*f to p*f + d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 80*n**2 - 2*n - 5. Let q(j) = 79*j**2 - 2*j - 4. Determine -4*l(x) + 5*q(x).\nAnswer: 75*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3 + 4*u - 2*u)*(19*u**4 + 142*u**3 - 142*u**3).\nAnswer: -19*u**5 - 57*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 8*w + 10. Let a be f(-7). Solve 0*o + 6 = -a*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b**2 + 2. Let k(y) = -13161*y - 3*y**2 + 13161*y. Determine z(k(p)).\nAnswer: -54*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - h - 33 - 39, -2*o - 4*h + 42 = 0. Let x(s) = s**3 + 7*s**2 + 8*s + 9. Let g be x(-4). Let a = g - o. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -83905787, -83905788, -83905789, -83905790?\n\"Answer: -g - 83905786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 516 - 520. Let o = 1.6 + -2. Which is the fourth biggest value? (a) o (b) x (c) 0.4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2928 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*p + 213*p + 144*p - 118*p as s + a*p and give a.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 6*q**2 + 2*q - 2. Let h be l(-5). Suppose 4*c + 0 = -3*n - h, -4*n - 5*c - 16 = 0. Solve m = n - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.34 - -20. Let r = -1.66 + m. Which is the closest to 3\/4? (a) 1 (b) r (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -3 (c) -2\/31 (d) 0 (e) 122\/9 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6604 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117 + 2225\/19. Let q = 88.8 + -89. Let b be ((-3)\/(-5))\/(6\/(-4)). Sort q, b, w in increasing order.\nAnswer: b, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q**1))**(-18\/11)*(q**(-5)\/q)\/(q*q\/(q\/q**(-4)*q*q)*q))\/(q**(1\/6)\/q**(-5\/3)*(q\/q**1)**(-6\/5)) assuming q is positive.\nAnswer: q**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(143) - (sqrt(143) + 2*(sqrt(143) + (sqrt(143) - (sqrt(143)*1 - sqrt(143)))))))\/(-3*(sqrt(396) + sqrt(44) - sqrt(11))).\nAnswer: -4*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 283560 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7 + 2*n - 3*n**2 + 0*n - 3*n**3 - 5*n. Let r(x) = -95*x**3 - 98*x**3 + x**2 + 3 + x + 194*x**3. Give -3*h(i) - 7*r(i).\nAnswer: 2*i**3 + 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16232 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/20 - i**2. Let x(z) = -2*z**2 - z**2 + 2*z**2. Give b(x(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1110 - 161 + 629 - 932)*(3 - 3 - d)*(-2*d - 2 + 2) - 16*d**2 + 9*d**2 + 9*d**2 to the form f + t*d**2 + g*d and give t.\nAnswer: -3146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57.3 - -57. What is the second biggest value in 0.7, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -3836910?\nAnswer: 15347640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*a - 7452 - 2948. Is 41 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + y + 22. Calculate c(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -2*i - 136. Let o be 6\/51 + 5130\/i. Suppose g + 2*u - 28 = 0, -u + o = 5*g - 2*u. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -288 greater than or equal to -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*s + 27*c**2 - 2399071*c*s + 1152194*s - 10 wrt c?\nAnswer: -4*c*s + 54*c - 2399071*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16299649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -60*s + 3848. Give p(64).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 421730863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 - 2*v + 2*v. Let g(t) = -4*t. Let h(z) be the second derivative of -z**3\/3 - 3*z. Let y(x) = -4*g(x) + 7*h(x). Give y(o(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9784, -9781, -9766, -9733, -9676, -9589?\n\"Answer: v**3 - 4*v - 9781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2399777677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12*2 + 10\/(210\/49)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 0, -11, -3, 3 in descending order.\nAnswer: 3, 0, -3, -11, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*f = -4438, 5*t - 11107 = -174*f + 172*f. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2 + 2. Let i(m) = 576*m**3 - 4*m**2 + 8. What is 5*i(h) - 20*x(h)?\nAnswer: 2860*h**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 21 = 1. Let s = u - -28. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27018 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.051 + 0.19. Round m to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -31478835?\nAnswer: 31478834.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 (base 10) in base 12?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and ((-100)\/24 + 4)*-2*60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6635.167456651 + 18?\nAnswer: 6653.167456651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 411 - 126. Calculate the greatest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = l, 4*l + 34 = 2*g + 28. Solve -6*u - 12 = -l*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 12*r**3 + 277*r**2 + 24*r + 10. Determine c(-23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3774*p + 301 = 3731*p. Let k(r) = -13*r**2 - 7*r + 7. Let q(v) = -9*v**2 - 5*v + 5. What is p*q(s) + 5*k(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6) - (-132)\/(-72)*-31. Let k be (-14)\/21 + 340\/6. Are k and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65991, 67409, 68807, 70179, 71519?\nAnswer: 72821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 9:23 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16988587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3967360.\nAnswer: 2, 5, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2. Let k(p) = -18*p**2 - 21*p - 15. Let m(f) = 11*f**2 + 9*f + 8. Let t(r) = -3*k(r) - 7*m(r). Give s(t(b)).\nAnswer: -1587*b**4 - 1518*b**2 - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12366 + 12366 - 4*u**2)*(-89*u**2 + 31*u**2 + 30*u**2) to the form o*u + d*u**4 + y + a*u**3 + x*u**2 and give d.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 6888?\nAnswer: -1\/3444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(275) - (sqrt(275) - (-1 + sqrt(275)))) - (2*sqrt(891)*-2)**2.\nAnswer: -14255 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, -0.5, -0.7, 219, -1, 0.012, -44?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 294945 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 2*j**2 + 2*j + 2. Let k = 33 + -35. Let c be z(k). Put c, -5, -4 in ascending order.\nAnswer: c, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*p - 2, 41 = z - 3*p. Suppose 0 = -f - 3*k + 4 - 1, 4*f = 5*k + z. Suppose -30 = -11*y + f*y. What is the lowest common multiple of y and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 737 and 536?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/120 - s**3\/3 + 5*s**2. Calculate f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -54\nAnswer: -54.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*g = 0, -2*l - 10 = -g - 19. Let t be (-1)\/2*l*(-1 - 1). What is m in -4\/7*m**t - 8\/7*m**2 - 4\/7*m + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12)*-3)\/(((-6216)\/(-74))\/(-20664)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l*q**4 + l*q**2 - 10*l*q + l + 173 wrt q.\nAnswer: -4*l*q**3 + 2*l*q - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2015\/22 + -2581\/44. Let d = -151 - r. Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let r(c) = -10*c + 3. Let z(h) = -36 - 13 + 81*h + 80*h. Let p(i) = -49*r(i) - 3*z(i). Determine p(x(v)).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 3*f - 10 = -3*n + 18 + 2, -32*f + 1068 = 180*n - 36*f for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32379 greater than 32379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 - 20 = 4*n, 0 = -4*o + 4*n + 28. Suppose o*m = 5*x - 271 + 80, -4*x + 132 = 2*m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 5*u + 29 - 33, 0 = -49*q - 2*u - 98 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**14\/v*v)*v*v**(1\/34)\/v*v assuming v is positive.\nAnswer: v**(-407\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-463 - 814 - 415)*(2*z**3 - 5*z**3 + z**3).\nAnswer: 3384*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1040 * -1.\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -3 (c) -6\/7 (d) -0.3 (e) 7\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 o when three letters picked without replacement from omomm?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(15)\/sqrt(5)) - (-6*sqrt(2) + 4).\nAnswer: -4 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose 2*p + y = -6, 5*y - 29 - 6 = 3*p. Let v be 2\/9 + (10 - 10)*1. Which is the biggest value? (a) p (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04943 to three decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0.6 (c) -3 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 2:42 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 612\/63)\/(8\/(-28)). Solve -552 = -h*b - 539 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 + 4*o - 6*o + o - 179 + 4*o.\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 892. What is y(0)?\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 1. Let w(v) = -v**3 + 8*v**2 + 18*v. Let f(p) = 6*b(p) + w(p). What is the units digit of f(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 8, -2\/7, 2\/23, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 742 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330967 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -198\/17 < -502\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 9:22 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h - 2. Let g be u(6). Let z(c) = -c**2 + c**2 - 2*c**2 - g*c**2. Let m(j) = -4*j**2. Determine m(z(x)).\nAnswer: -144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -2. Let i(l) = 2*l + 9. What is i(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 3*u + 1. Suppose 0 = -3*l + 3*c + 6, -8 = 2*l + 4*c - 2*c. Let b(o) = o + 3 - 3. What is l*s(j) + 3*b(j)?\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 + 20*g**3 - 4*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7414507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3114 greater than or equal to 5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132 (base 4) in base 8?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 20*f - 2. Let u be m(24). Let k = -88 - u. Suppose -k*i + 2369 = 269. Calculate the greatest common factor of 30 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52077*w**2 - 55056*w?\nAnswer: 104154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -3798?\nAnswer: -3797.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 0, -2*b + 2*v = -4*b - 4. Let z = -2.35 - -1.9. Let c = z + 0.15. What is the third biggest value in -3, b, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4461014000 to the nearest 1000000.\nAnswer: 4461000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 9*y**5 - 5874*y**4 - 157461*y**3 + 1942890*y**2 + 5229204*y + 1521432 = 0.\nAnswer: -34, -2, -1\/3, 11, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2) + -15 + -1 + 39\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2198)\/16485)\/(2\/9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1643 and 465.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 4*p**2 - p - 7. Give i(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -451. List the prime factors of 4\/(-26) + (-3)\/(w\/(-8888)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i - 2*i = -81 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.936 - 0.064. Let k = 33 - 166\/5. What is the smallest value in i, k, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10*w**3 + 28*w**2 + 27*w - 31. Let h(s) = 3*s**3 - 9*s**2 - 9*s + 10. Let p(q) = 7*h(q) + 2*n(q). Determine p(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-84))\/(-12*(-12)\/(-320)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j - 12. Let q(k) = -k**2 - 5*k - 2. Let l(w) = w**2 + 4*w + 2. Let a(u) = 4*l(u) + 3*q(u). List the prime factors of a(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1986 and -1.\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1320, 1, -6 in ascending order.\nAnswer: -6, -1, 1, 1320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39 + 0 - (-4 + 11). Suppose 2 - v = -10*r. Let q(u) = -u**3 - u**2 + 3*u - 3. What is the smallest common multiple of q(-3) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 2*k + 4. Let z = 107 - 100. Suppose 0*b + 8 = -2*b. Let c = z + b. Determine y(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 + 3*t - 3*t)*(1 - 1 - t) + 7*t**3 - 6*t**5 - 7*t**3.\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*v**2 - 200*v**2 + 5*v**3 + 1 + 98*v**2.\nAnswer: 5*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -346 - -351. Suppose -m*z = 4*l + 1548410, 3*l - 114*z + 113*z = -1161298. Round l to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -648*l + 1. Let p be d(7). Let i = -18239\/4 - p. What is the common denominator of i and (-83)\/5*(11 + 1682\/(-152))?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 64 = 4*s, w + 58 = 4*s - 26. Let y be (-32)\/s*5\/(-2). Let b(f) = -f**3 + 3*f**2 + 6*f - 4. What is the units digit of b(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34105500 and 1848.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461 - 6149.\nAnswer: -5688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*n - 199*k + 40*k + 169*k, -12 = -3*n + 5*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467129 is divided by 93?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**10\/151200 - g**9\/60480 + g**8\/20160 + g**7\/5040 - g**5\/6 + g**2. Let q(s) be the third derivative of d(s). Factor q(j).\nAnswer: -j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqgtrii. What is prob of picking 1 t and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3724\/(-532))\/(14\/18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 664331, 664323, 664311, 664295, 664275, 664251, 664223?\nAnswer: 664191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 0.1, -3\/7, -7 in ascending order.\nAnswer: -7, -3, -3\/7, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 12*x**2 + 4*x - 13. Suppose -5 = -5*o, -10*o + 15*o + 43 = 4*z. Determine w(z).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 1 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -222*w - 1102. Let f be k(-5). Let l be 65*(2 + 8\/(-5)). Suppose -c - 6 = -l. Solve -q + c = 4*p, q - f = p - 2*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mpmmpmmmmpmmmm?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/16 and 35\/598?\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2925, -5855, -8797, -11757, -14741, -17755, -20805?\nAnswer: -23897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 + 459\/85. Let f(g) = 2 - 9 + 2 + 26*g. Does 15 divide f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/7 + 92032454*h\/7 = 0.\nAnswer: -46016227, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74.3 and -2.\nAnswer: 72.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366 divided by -2485.\nAnswer: 366\/2485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 812 - 221. Suppose -5*g + 3 + s = 0. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*v + 63 = 0. Calculate the least common multiple of v and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-32) - 141\/5264*-21.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**2 - i + 14. Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.866 + 0.034. Let t = 33 - w. Which is the second biggest value? (a) -1 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -393*p. Let h(s) be the first derivative of 2*s**3\/3 - 403. Calculate h(u(j)).\nAnswer: 308898*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38740.1 and 8?\nAnswer: 38748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 8. Let t(c) = -3*c + 7. Let f = 700 - 706. Determine f*b(z) - 7*t(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(255\/(-680))\/(9\/(-16))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*d - 37, 2*d + 0*z - 2*z = 2. What is the third derivative of -d*a**2 + 4*a**4 - 5*a**2 + a**4 wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1076*y - 5*o = -1077*y + 11, 5*y - 31 = o for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (1 - (-16 - -11))) + (-5 - (1 + 14))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 104*k**3 + 3*k**2 + 3*k + 3. Let o(l) = l + 1. What is 3*o(a) - z(a)?\nAnswer: -104*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1306\/3 + -9133\/21. Sort c, 0.3, 2, -18, 0.\nAnswer: -18, 0, 0.3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/25))**(-3\/10)\/(x**12)**(-5\/2) assuming x is positive.\nAnswer: x**(3753\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69307956057.822 and -3.\nAnswer: -69307956060.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 5. Let p(a) = 32 + 34 + 32 - 95. Suppose 0*k = -5*k + 25. What is k*p(w) + 3*n(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(-3)*(1 + (-102)\/(-12)) and -32\/59.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61.1 - -0.9. Let a = 1397008.47762 - 1397070.477620049. Let u = j + a. What is u rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150871*v - 5*p + 1 = -150875*v, v + p = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2805 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3690873343 to the nearest integer?\nAnswer: 60753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 0*v + 1\/120*v**5 - v**3 - 9 + 0*v**2 + 5\/8*v**4. Let o(t) be the third derivative of k(t). Give o(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8185, 7470, 6755, 6040?\nAnswer: 5325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 35 - 23 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 6*z**4\/7 - 2854*z**3\/7 + 336038*z**2\/7 + 797782*z\/7 + 228484\/7 = 0.\nAnswer: -2, -1\/3, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.84*-1.\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -2 - -8) + -4. Let q(s) = -6*s**2 + 9*s**i + 0*s**2 + 3*s**2. Let c(t) = -10*t. Calculate c(q(k)).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5.52*48\nAnswer: -264.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -4\/9363701 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1, -8, 7 in descending order.\nAnswer: 7, 5, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(210\/3864*40\/(-50))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a minute in seconds?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 16*g**2. Let a(h) be the second derivative of -h**3\/3 - 19*h**2\/2 + 134*h. Give a(y(p)).\nAnswer: -32*p**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 1. Let x(f) = f. Let a = -5 + 6. Let y(u) = -u**3 + u. What is a*x(n) + g*y(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1381 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 470536943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/9802 and 33\/58.\nAnswer: 9802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*i**5 + 68946*i**4 - 46463*i**2 + 39*i wrt i?\nAnswer: 1080*i**2 + 1654704*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 5*c**2 + 3*c + 9. Suppose -2*u + 5 = -u. What is the remainder when n(u) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140414312 (base 5) in base 12?\nAnswer: 2a6a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 92\/14)\/(2 - 1). Which is the smallest value? (a) 1 (b) t (c) -6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5 = -5*g, 0*r + 7*r = 2*r - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62360 - 39603. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 698485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2 and -2.3.\nAnswer: 5.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-21 - -28) + 15 + 2 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6852\/2286 - (0 + 3). Let a = y - -8003\/762. What is the common denominator of a and 61\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Let u be h + (20 - 2\/(-1)). Let s(r) = r**2 - r + 8. Let g be s(0). Calculate the greatest common factor of g and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36249576 and 12903.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + 323*q + 7*q + 10*q.\nAnswer: 326*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(176) + sqrt(176) + -1 + sqrt(176) + -4)**2.\nAnswer: -120*sqrt(11) + 1604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.58 + 27. Let j = f - 0.02. Let b = 0.02 - -3.98. Sort 3, b, j.\nAnswer: j, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -11) + (63 - 48 - (4 - 1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 3729*o**4\/4 + 3*o**2\/2 - 344*o + 3862. What is the second derivative of v(m) wrt m?\nAnswer: 22374*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14320220 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 147*a**2 - 3073*a - 50. Determine z(21).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -11.54?\nAnswer: 46.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from tvutyivuvytvoootvuv.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkmkeeefeknnknkfkef. Give prob of picking 2 n and 1 k.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -1\/2, -5, -6 in descending order.\nAnswer: 0.03, -1\/2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -14. Suppose 4*w - 1 - 21 = -2*i, a*w - 35 = -4*i. Suppose 1\/4*b**2 + 1\/4*b - 1\/4*b**w - 1\/4 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1272)\/(-795)*(2 + -1) and 50\/32169.\nAnswer: 160845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.9, -1.9, 0 in decreasing order.\nAnswer: 4, 0.9, 0, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**6\/6 - 9*w**5\/10 - w**4\/6 - 212*w**2 - 12*w + 20. What is the third derivative of h(f) wrt f?\nAnswer: -120*f - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/(-576))\/(35\/15)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 5 = 11*s. Suppose -m - 468 + 1501 = s. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 14. Calculate j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/((-27)\/(-21) - 10\/35). Solve -k + 7 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2 - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1586721 and 1168464.\nAnswer: 6639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjjijiijifiijjww. Give prob of sequence ij.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 31616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456 times -0.3?\nAnswer: -736.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + y + 3*y)*(-32*y + 34*y - 105*y) - 1 + 3*y**2 + 1 in the form q + o*y + n*y**2 and give n.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -47*t - 60. Let q be 189\/(-12) + (-12)\/48 + 6. Let r be s(q). Calculate the greatest common divisor of 82 and r.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3872*l + 305*l**2 - 3872*l.\nAnswer: 305*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 13 = 51. Suppose -k + 24 = 5*d, 5*d + 2*k - 39 = -i. Suppose -r + d*r = 8. Solve 4 = -7*w + 4*w + 2*b, 5*w + r*b + 28 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -593\/4 or -148?\nAnswer: -593\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 15*n - 7. Let u(j) = j - 1. Let o(v) = u(v) + y(v). Let b be o(-12). What is the greatest common factor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12389021*v**4 - 5175360*v wrt v?\nAnswer: 148668252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Let f = 728 - 732. Let g be f + 14\/3 - (6 + -5). What is the closest to g in s, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 9. Let h(z) = -z**2 + 8*z + 1. What is the least common multiple of j and h(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a factor of 302376879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/5, -2, -1\/42, 89, -3?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*b + 17*b - 103*b + 153*b.\nAnswer: 294*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/11, 0.5, 4, 1.56?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-2 - -2) + 6\/2. Solve 3 = -p*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -595218\/187495 - -244\/77. Let x = h + 436853\/2435. Let c = x - 180. Put c, 1\/9, 3 in decreasing order.\nAnswer: 3, 1\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.2 (c) -0.105 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -44*x**2. Let y(m) be the third derivative of -m**4\/24 + 156*m**2. Give s(y(u)).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 517*j**4 + 359*j**4 + 2197*j**4 + 369*j**4 + 1522 wrt j?\nAnswer: 13768*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 8 + -6 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.828412l?\nAnswer: 8828.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1876855, -3753702, -5630547, -7507390?\nAnswer: -9384231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1143641, -1143775, -1143909, -1144043?\n\"Answer: -134*r - 1143507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 21 = 21*c, -2*d + 5*c = -99051965. What is d rounded to the nearest 100000?\nAnswer: 49500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1348 = -3*n + 2*k - 4442, -1031 = n - k. Let q = n + 1475. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -683, 1, -1\/9, -0.3, 3\/6182 in decreasing order.\nAnswer: 1, 3\/6182, -1\/9, -0.3, -683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 70. Let c(q) = q**3 - 12*q**2 + 6*q + 20. Let v be c(z). Let o = v - -193. Round o to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294097 is divided by 3601?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**10)**(-35))**(-18))**20)**(-7\/9) assuming b is positive.\nAnswer: b**88200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -293 (base 12) to base 13.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1300))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 36. Suppose -8 = -11*x + 47. What is the remainder when b is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h + 202. Calculate b(12).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 3*s**5\/20 + 131*s**4\/12 - 11*s - 3. What is the third derivative of o(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**3 - 3*n**2 - 50*n - 10. Let b be l(-9). Round b to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 - 104*g + 40. Suppose 578 = 8*h + 858. Calculate t(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from babsaamsbma?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, -110, -232, -354, -476, -598?\n\"Answer: -122*n + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-16) - (-1)\/(-4)*-5. Let a = -687 + 701. What is the third biggest value in -5, 3\/4, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2260.2672 - 0.2672. Let i = t + -2265.644. What is i rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106827\/11 + -9721. Which is smaller: q or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3714456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1507912429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -49*g. Let c(y) be the third derivative of -y**4\/6 + 3*y**2 + 59*y. What is c(w(p))?\nAnswer: 196*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3970*p = -56765 - 60665 - 9610 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 132675 = -150456. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**7\/2520 - q**6\/360 + q**5\/30 - q**4\/12 - q. Let a(p) be the third derivative of m(p). Is a(6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 17)*(-c**3 + c**3 - c**3) to q*c**3 + g*c + t + v*c**2 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**3 + 21*i**2\/2 - 24*i - 337. Factor z(b).\nAnswer: 3*(b - 1)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4719)*-2 - sqrt(4719))\/(sqrt(3) - (sqrt(108)\/sqrt(4) + sqrt(27))) + -3 + 4*sqrt(52)\/sqrt(4) + 0.\nAnswer: -3 + 53*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(96))\/sqrt(2) - (-3 + sqrt(72)\/sqrt(6)))*5.\nAnswer: -50*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, y: 4, l: 2, d: 2}. Give prob of sequence yuyl.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m - 48*m + 13*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)*-4)**2 + sqrt(2))*5.\nAnswer: 5*sqrt(2) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 999 divided by -333\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 239072*w + 461114.\nAnswer: 239072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 433 - 284. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22273\/10 + -2227. Which is the nearest to -4? (a) s (b) -0.9 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -12. Let y be (-51)\/(-12) + (-2)\/8. Suppose y*i + t - 3*t - 12 = 0, 3*i - t = 8. Solve i*o - o = -x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182 - -196.6. Let t = -12.6 + u. Which is the nearest to -1? (a) 1.6 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3\/15 + 8644*z**2\/3 + 28818*z\/5 - 43224\/5 = 0.\nAnswer: -3, 1, 21612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + 32. Does 28 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/600 and -54\/35?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 241*i - 3382. Determine u(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/6 - 4\/(-6). Suppose 5*r + 156 = r. Let g = r + 42. Solve g*n + u*h + 12 = 0, 5*n - h + 16 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8498989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -676897, -1353772, -2030647, -2707522, -3384397?\n\"Answer: -676875*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v**2 - v. Let u(n) = 3*n**3 - 6*n**2 - 3. Let g(f) = f**3 + 35*f**2 - 2. Let r be g(-35). Let p(k) = r*z(k) + u(k). Give p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/97)\/(y**42\/y)*(y**(-43))**(-2\/7) assuming y is positive.\nAnswer: y**(-19511\/679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14255*h. Let s(f) = -2*f**2. Give k(s(a)).\nAnswer: 28510*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -266 at most -267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 711 + -2976. Let d = j - -6859\/3. What is the common denominator of d and -51\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -31. Suppose h - y = 4*f, h + 3*f = 4*h - 153. Is 3 - (0\/(-1) - h) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 18*x**2 - 2*x - 1. What is the units digit of q(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 380 = 2*s. Let k = s - 28. Suppose 0 = -3*r + x + k, 5*x = 3*r + r - 53. Calculate the greatest common factor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*r + 11 = -4*b, 3 = r. Let m(s) = 5*s**2 + 2*s - 1. What are the prime factors of m(b)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/20 - 5*c**4\/6 + c**3\/3 - 4*c**2 + 360*c. What is l(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/7 + 52*d**4\/7 - 108*d**3\/7 - 656*d**2\/7 - 110*d - 276\/7 = 0.\nAnswer: -1, 6, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 1\/6*g**3 + 25*g - 5\/2*g**2 + 0. Give b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) + 50\/(-175). Suppose -23*g + 13687 - 1175 = w. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0621 - -0.4531. Let a = p - 0.33. Round a to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*x**4 + 164*x**3 + 7618*x**2 wrt x?\nAnswer: -144*x + 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(29\/(783\/12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19616724497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -43. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/((3 - 8) + 7). Suppose 3*t + 3*f = -198, -t - 5*f = 83 - 17. Let h = -1 - t. What is the highest common factor of r and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:40 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 175624 (base 9) to base 8\nAnswer: 325111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwwwwwrwrwwwwwrwwwww. What is prob of picking 1 r and 3 w?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85027\/21 + -4050. Let w = 5869\/7 - 837. Let x = g + w. Which is the closest to -0.1? (a) x (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-8)*y*y)**(-16) assuming y is positive.\nAnswer: y**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v**2 + 2324*v + 2925. Calculate n(-210).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*g + 64 = 400. Let x(y) = -y**2 - 10*y - 6. Let f be x(-9). Let p = 0.8 - 1. Which is the biggest value? (a) p (b) g (c) -4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 1, 0.1, 8.953, -0.27?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4418 - -4416. Let z(g) = -2*g**3 + 2*g**2 + 5*g + 2. What is z(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376625782.\nAnswer: 2, 13, 23, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184274?\nAnswer: 2, 199, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpbppbbbbpbbb. What is prob of picking 2 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1598 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 63. Suppose m - 2 = 3*b - 17, c*b + 4 = -4*m. Solve b*g + 2 = -i - 5, 18 = -g + 3*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 47.4. Let o = x - 14. Let u = o - -3. Round u to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 0*d**5 + 0 + 1\/2*d**3 + 0*d**4 + 0*d**2 + 8*d + 13\/42*d**7 + 0*d**6. Find the second derivative of q(c) wrt c.\nAnswer: 260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 6*h - 9. Determine p(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 21 = -3*h, -2*h + 5*n + 2 = 27. Let a(p) = -p**3 - 2*p**2 + 4*p + 3. Let v be a(-3). Sort h, 2, 13, v in decreasing order.\nAnswer: 13, 2, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (500\/(-80)*-2)\/(((-1)\/14)\/((-6)\/15))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.582 - 13.575689. Round m to four decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {v: 2, x: 1, a: 1, e: 1, u: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -68, -74, -82, -92, -104, -118?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2258 and 111.\nAnswer: 2369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 424 - 421. What is the fourth biggest value in 0, -2, j, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Let g(v) = -v**2 - 9*v - 11. Let m be g(-7). Suppose -12*u + 180 = -m*u. Solve -5*r = -h + u, 0 = -h + i*r + 14 + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 + -2 + -5 + (24 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -4 - (0 - 1). Suppose 0 = -2*z + 3 - 1. Let s be z + (1 - (-3 + o)). Calculate the highest common factor of s and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.0206297 to zero decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*u - 38*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7452012 to the nearest integer?\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3220545 - 1141?\nAnswer: 3216404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**3 + 40*n**2 + 34*n + 4. Determine x(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-53)\/866*(-438)\/14. Let o = -6\/433 - u. What is the common denominator of 6\/(-14) - (-34)\/28 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840) - 6*sqrt(4840)*3)\/(sqrt(8) - 3*sqrt(200) - -6*sqrt(40)\/sqrt(5)).\nAnswer: 187*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 8. Let h be y(-4). Let d(w) be the third derivative of 1\/24*w**4 + h*w**3 + 0 + 0*w - 2*w**2. Let k(z) = z**2. Calculate d(k(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59\/7 - 8. Let l = 0.07 - 0.57. Let k = -5.131 - -0.131. What is the biggest value in k, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*y + 55, 0 = r + 3*y - 1 - 0. Let u = 49\/3 - r. Which is greater: u or -0.9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*-2*1 - 1. List the prime factors of 0 - l - (-1231 + -1).\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -821, -1668, -2517, -3368, -4221, -5076, -5933?\nAnswer: -6792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 17)*(4*z - 5*z - 2*z) - z + 2*z + z + (1 - 2 + 2)*(7*z - 2*z - 3*z) + 3*z - 6*z + 2*z - z + 4*z - 4*z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - (-12)\/5. Let b be 55\/(-22) + (-13)\/(-2). Solve 3*x - f*z = -3*z - 8, -z + 20 = -b*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058444 is divided by 464.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30774736 a multiple of 1388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:49 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/60 + p**4\/8 - p**2. What is the second derivative of l(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3989787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7439 and 83905.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -44\/469?\nAnswer: -44\/469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 134, 131, 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + a - 21 = 0, -12 = -3*z - 0*a - 2*a. Find the third derivative of 0*i**z - 7*i**2 - 2*i**6 + 4*i**2 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.6 - -12. Let w = d + 3.6. What is the closest to 2 in -2, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*c + 1303981 = 1294564 for c.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2873, -9.67, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 448\/96*(-6)\/(-42)*12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 52.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 2*d + 1. Let z be a(-2). Let x be -2*(2 + 20\/(-8)). Let o be (73 - (-2 + 3))*1\/x. What is the greatest common divisor of z and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 223, 262, 371, 586, 943?\n\"Answer: 6*i**3 - i**2 + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 99*p**3 - p**2 + 7*p + 3. Let u(r) = -r**3 + r**2 + 1. Let j(a) = -f(a) - u(a). What is the second derivative of j(w) wrt w?\nAnswer: -588*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t, -3*t - 2 = 2*o - 4*t. Suppose 4*s - 43 = -v, -v + 0*s + 4*s + 43 = o. Let h = v + -18. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0.13 (c) -11\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z + 21*z - 378. Calculate the remainder when 156 is divided by z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7193348 is divided by 287729.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 156*o**2 - 21*o - 15. Let w(r) = -2*r**3 + 157*r**2 + 22*r + 16. Let q(n) = -4*u(n) - 3*w(n). Find the second derivative of q(x) wrt x.\nAnswer: 12*x + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376896847.\nAnswer: 29, 541, 24023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8*4 - (-1 - 4). Suppose -3*s + k - 144 = 0. Let w = 124 + s. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -0.3, -10, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -3\/2 (b) 9 (c) -0.5 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-20\/9)\/s**(22\/7)*(s*s**(-2\/13))\/s**(-23))**(-13\/6) assuming s is positive.\nAnswer: s**(-7568\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -417 - -833\/2. What is the nearest to -2 in -1, v, -0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 371, 567, 763, 959, 1155?\nAnswer: 1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 464 and 4.9013548.\nAnswer: 468.9013548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5 + 189*t**4 - 4512*t**3 + 2209*t**2.\nAnswer: -t**2*(t - 47)**2*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4 - 8. Suppose r*u + m = 2*u + 44, -2*m = -4. Let g = -2656 + 2676. Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17560*d**3 + 8775*d**3 + 8777*d**3 - 6843*d**2 + 6843*d**2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -172\/23*q**2 + 0 - 32\/23*q + 22\/23*q**3 = 0.\nAnswer: -2\/11, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-94)\/4)\/((-3)\/(-6)). Let l = 189\/4 + d. Sort l, -1\/2, -1\/5.\nAnswer: -1\/2, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 45 = -3*z, -10 = -2*z - 0*y + 4*y. Suppose 6*t - 4 = 4*t. Suppose -3 = -o, 7*d = t*d - o + 223. Calculate the highest common factor of z and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 9*s - 1296 = -f, f = -2*s + 1302. What are the prime factors of f?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -t - t. Let k = -50.5 - -51. What is the third smallest value in -1, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 17) + 2 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/60)\/(2\/(-12)). Is -1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 minus -0.5?\nAnswer: -655.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*a - 2520 = 0, -1390*a = 2*h - 1386*a + 74 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o**4\/5 - 3801846*o**3\/5 + 8237748*o**2\/5 + 25979886*o\/5 + 7603848\/5 = 0 for o.\nAnswer: -105609, -3\/2, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**4 - 2750*u**3 + 112860*u**2 - 1173250*u + 1063145 = 0.\nAnswer: -589, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9\/206 - -2497\/1751. Let r = p + -2011\/102. What is the common denominator of -145\/12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -640*b**2 + 2*b + 9. Let n be f(-2). Let t be 4\/42*n\/(-60). Let d = -679\/90 - t. Calculate the common denominator of d and 4\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 481, -9654, -13 in ascending order.\nAnswer: -9654, -13, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + j. Let r(d) = 8*d**2 - 18*d + 10. Let c(h) = r(h) + 3*z(h). Factor c(v).\nAnswer: 5*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2f3c (base 16) to base 12\nAnswer: 6bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -0.09 (b) 0.3 (c) 3\/8 (d) -2 (e) 1\/6 (f) -175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2249*u**4 + u**3\/3 - 949*u**2\/2 - 3*u - 3506. What is the third derivative of i(o) wrt o?\nAnswer: 53976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 168 = -3*y. Let z be 6\/y + 4170\/42. Calculate the greatest common factor of z and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(-2*sqrt(729)) + (sqrt(147) + 1)**2*4)*2.\nAnswer: 1007*sqrt(3)\/9 + 1184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 136 - 2*q**3 - 67.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323456937 - 323456937 + 6*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r\/(r**(-3)\/r))*r*r)**(-17)*r**(1\/2)\/r**(5\/4) assuming r is positive.\nAnswer: r**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/20)\/(-2)*-15. Suppose -d = -w + 3. What is the highest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 3*n + 43. Suppose 3*m + o = -2*m + n, -4*o + 22 = m. Let l = -431 + 432. Sort l, m, 0.4 in ascending order.\nAnswer: 0.4, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 2 - 2 - 774*f**2.\nAnswer: -774*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6*r. Let y be r + (-34)\/2 + -1. Let h = y - -28. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-22) - (-14)\/77. Suppose -3*o = m*z - 129, 5*o + 2*z - 123 = 88. Let n = -28 + o. What is the remainder when n is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343, 1358, 1391, 1448, 1535, 1658?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:47 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**4\/12 - 11*a**3\/6 - 3*a**2\/2 + a. Let v be t(-7). Let d = -3 + v. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4205 - 1454. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 5. Let y be x(11). What is the highest common factor of y and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*s = -30, 4*i - 2*s = s + 11. Suppose -v - 1145 = -i*f, 4*f - v = v + 910. What are the prime factors of f?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j, 5*j - 1 = -u. Let o(v) = -4*v - 1. Let l be o(u). Put l, 1, 2 in increasing order.\nAnswer: l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + sqrt(176) + sqrt(176)*-1)*6 + (sqrt(176) - (sqrt(176) - 2*sqrt(176))*3 - sqrt(176)))\/(3*(-4*sqrt(64) - (sqrt(28)*-1)\/sqrt(7))).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*y**3 + 2 - y**3 - 1 + 4*y**4 to t*y**2 + g*y**3 + d*y + b*y**4 + f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - g + 1. Let a(x) = x**2 + 3*x - 2. Give a(l) + 2*o(l).\nAnswer: -2*l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5694 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5211\/4 - 1339. Which is greater: -36 or h?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 542e + 2?\nAnswer: 5431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15b8 + 4?\nAnswer: -15b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 7.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66808?\nAnswer: 2, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d**2 - d**2 + 3*d**2 + 3*d + d**2 - 3*d + (-d + 2 - 2)*(-3*d - 3*d + 4*d))*(-1 + 0 + 0).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 9) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-456)*-18*(-7 - -8).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117 - 31*b**4 + 117 - b**4 + 2*b**4 - 3*b**4 - b - 2*b**4 + b + (3*b**2 - b**2 + 0*b**2)*(5*b - 5*b - b**2) - b**4 - 3 + 3.\nAnswer: -38*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132660 and 14472.\nAnswer: 795960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034922833 to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -528 divided by -8\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47231927 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -44*u**2. Let p(o) = -2*o + 18. Give p(h(j)).\nAnswer: 88*j**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12*150\/(-9)*6\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -555523\/7 + 79361. Suppose 1\/7*q**3 - 2\/7 - b*q**2 + 5\/7*q = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8 - 18 + 6 + 13*j + 2*j**3 - 14*j**2 - 3*j**3 - 36. Determine v(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 324?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8519*i - 363*i = 3319*i - 380302 + 99679 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/342340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 n when four letters picked without replacement from nnnffnfxnnnfnn?\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 8792.\nAnswer: 1\/8792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l + 836. Let q(o) = -20*o - 1668. Calculate -9*c(f) - 4*q(f).\nAnswer: -f - 852","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Let w(z) = -2*z + 46. What is b(w(i))?\nAnswer: 2*i - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*d - 558*d = 696*d + 39908 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15029 by -113.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, -21, -2, 88, 4, 2, -4 in decreasing order.\nAnswer: 181, 88, 4, 2, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.22 - -246768685678?\nAnswer: 246768685675.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*b**2*f - 2*b**2 + 20*b*f + 2*b - 31 with respect to f.\nAnswer: 79*b**2 + 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4876)\/44 - (-2)\/(-11). Does 14 divide -1 - 1\/(2 + 225\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*2*(-5)\/20. Solve 0 = -u*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 13*h + 23*h = -31 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1735764, -1735736, -1735706, -1735674, -1735640, -1735604, -1735566?\nAnswer: -1735526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 15) to base 3.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c - 76. Let n be y(-9). Suppose -3*x + n*g = -2100, -4*x - 707 = 2*g - 3507. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -573966 and -5.\nAnswer: 2869830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x**(-3\/4)*x)\/x*x)*x\/((x**(-43)*x)\/x)*x*(x*x*x\/x**(1\/5)*x)**(-12\/7) assuming x is positive.\nAnswer: x**(5493\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x**2 + 3*x**2 + 21*x - 14*x**2)*(0*x - 2*x + x)*(8 - 2 + 0).\nAnswer: -6*x**3 - 126*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -5, 775, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115376111*v**3 + 9*v**2 + 2807*v + 867.\nAnswer: 692256666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 2284*i - 2282.\nAnswer: -2*(i + 1)*(i + 1141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -6*v**2 + 0*v**5 + 0*v**3 + 0 - 1\/30*v**6 + 0*v + 0*v**4 + 1\/105*v**7. Factor k(z).\nAnswer: 2*z**3*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m - 4. Let d be c(-3). Suppose -d*w + 25 + 0 = 0, -2*f + 20 = 4*w. Does 4 divide (60 + f)*6\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z**2 - 4*z. Let x(g) = -29*g**2 - 9*g. What is -9*p(f) + 4*x(f)?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -10, -5662, 0.\nAnswer: -5662, -10, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 97368 = 5*p, -3*k - 78*p + 75*p = -146073. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*((-2 + 6 - 2)*(-2*w + 0*w + w) + 2 - 2 - w) - 2*w - 3*w + 6*w to q + a*w and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivxb when four letters picked without replacement from {q: 2, b: 1, i: 3, v: 3, x: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 430 + -214. Suppose -3*a - x = -9*a. Suppose -4*y + 27 = -9. What is the highest common factor of a and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14753474 and 1010?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 - 43*h + 40. Let i be m(-8). Solve 4*s - 4*x - 2 + 10 = i, -2*s - x + 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-17))\/((-3)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + a**5 + 88*a**2 - 129*a**2 + 13*a**4 - 30*a**3 - 280*a - 32 - 203*a**2 = 0. Calculate a.\nAnswer: -14, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1)\/(-2*(-8)\/(-592))*(-280)\/(-560).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2016 and 231?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 t, and 2 k when four letters picked without replacement from {t: 1, k: 8, r: 8}?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (0 - -11)) + 5. Let v(d) = 10*d**3 + 9*d - 1. Let f(g) = g**3 + g. Give n*v(i) + 18*f(i).\nAnswer: -2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -0.12874?\nAnswer: 4.12874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 13*o + 15. Let y be i(15). Let u = -12 - y. Suppose -48 - 27 = -u*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 3*v. Let p be o(-3). Suppose q + 0*q + 5*u + 2 = p, -u + 14 = 5*q. Factor 0*c**2 + 0*c + 0*c**q + 1\/4*c**4 + 0 + 1\/4*c**5.\nAnswer: c**4*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49827 < 49829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/35 + 9833\/5. What is the third derivative of -j*n**2 + 3*n**6 + 3*n**6 + 1948*n**2 - 9*n**5 - 3*n**6 wrt n?\nAnswer: 360*n**3 - 540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose 0 = u - w - 6, 3 = x*u - 5*w - 9. Calculate the highest common factor of 81 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40740, 162835, 366318, 651183, 1017424, 1465035?\n\"Answer: -h**3 + 40700*h**2 + 2*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*b + 161*b + 968 = 4298 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in -4\/3, 5, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9, -0.3, -0.2, -1686?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - 1*sqrt(1053)*-5) + -4)**2 + 5 + (4*-1*sqrt(52))\/(-1*sqrt(196))*-4.\nAnswer: -3040*sqrt(13)\/7 + 37929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-92 + 13 - -49) + 0 + 13\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 17*p**3 - p**2 + 3*p - 1. Calculate the smallest common multiple of 80 and z(1).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/693 and 46\/5586889?\nAnswer: 50282001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -5*(-118181)\/490. Let g = w - -1203. Calculate the common denominator of -5\/24 and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 times 0.29?\nAnswer: 1.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*c + 20, 65*c - 2*k + 22 = 61*c. Let f(u) = -16*u**2 - 16. Let g(a) = 0 + 1 - 4 - 3*a**2. Calculate c*f(n) + 11*g(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27465277 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304 or -314?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5645455 and -4.\nAnswer: 22581820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u + 3*u. Let s = -1186 - -2034. Factor -848*v + s*v - v**u - v**3.\nAnswer: -v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -177, -426, -771, -1206, -1725, -2322?\n\"Answer: t**3 - 57*t**2 + 17*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1443 and 901875?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 >= 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 524.25456 to one dp.\nAnswer: 524.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 3*q + 5*q + 3 - 7*q - q**3 + 3*q. Suppose -5*u - 13 = -j, -6*j + 3*j = -3*u - 3. List the prime factors of t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 101*x**3 + 2*x**2 - 188*x**3 - 136*x**3 - 22*x**3 to the form h*x**3 + d*x**2 + j + m*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-3\/4)*g*g)\/g)\/g*g)\/(g*g\/(g**(2\/17)\/g)))\/(g**(-2\/15)*g\/g**(2\/5))*((g\/((g*g*g*g**(-1)*g*g)\/g)*g)**(-14))**20 assuming g is positive.\nAnswer: g**(283459\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -32, -45, -58, -71?\n\"Answer: -13*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -5 (b) 0.03 (c) -3\/7 (d) 11\/4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17866 or -17870?\nAnswer: -17870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 7*d - 2*v, -d - 29*v + 20*v = -10*v + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 + 979*x = 0. Calculate x.\nAnswer: 0, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*c = -708*c + 3, -2*q = c + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -72, -2\/19, 4, 2 in increasing order.\nAnswer: -72, -4, -2\/19, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 - 2*r**3 + 10 - r**2 + 22 + 21 - 46 to the form n*r**4 + u + z*r + w*r**2 + j*r**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i + 65. What is t(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 23.67?\nAnswer: 94.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2)*466\/3. Let w = k + -1627\/7. What is the biggest value in -0.3, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.54 - 0.12. Let o = n - -0.03. Let j = o + 0.33. Which is the nearest to -1? (a) j (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.19 * -1198659\nAnswer: -6221040.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -3\/2, -39183, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 447225.8t in kilograms?\nAnswer: 447225800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324 - -330 - (1 + -6 - (0 - 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/356868075?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Suppose 2*y - 1 = 4*i - 15, 0 = i - 3*y + 4. Suppose -4 - 6 = i*v. What is u(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -77.4777?\nAnswer: -77.4777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 3*m - 6. Let k be o(0). Let a(z) = -35*z - 149. What is the units digit of a(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 154, -4, 19, 2, -947 in increasing order.\nAnswer: -947, -4, 2, 19, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 330?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65013854.\nAnswer: 2, 163, 199429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*v + 7, 5*i - 9*v - 5 = -14*v. Let h(d) be the second derivative of 0*d**2 + 0 - 3*d + 0*d**3 + 1\/20*d**i. What is y in h(y) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/45420 and -19\/9258110.\nAnswer: 55548660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4 - 0. Suppose p*r + 156 = 4*u, -6*u + 3*u + r = -107. What is the remainder when u is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -98, -99, -116, -155, -222?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3*v + 4021038*i**3 - 4003*i*v**4 - i*v**2 wrt v.\nAnswer: -i**3 - 16012*i*v**3 - 2*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/103288657 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -311. Is j - (-2 - 21\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/18)\/(652\/7824). Factor 2\/3*w**2 + u - 2*w.\nAnswer: 2*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1\/1867, -1\/3, 2, -1 in descending order.\nAnswer: 2, 1\/1867, -1\/4, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-3)*(-39)\/(-13). Let h be z\/(-35) - 18\/(-28). Which is the closest to h? (a) 5 (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1 + 3*i**2 + i + 2*i**2 - 3*i**2 + 2*i**2. Let b be k(-1). Suppose b = 2*d - 18. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 994*l + 44. Let i(w) = -199*w - 9. Let v(x) = -11*i(x) - 2*n(x). Let s be v(2). Let u = s - 251. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2709 and 0.1.\nAnswer: -2708.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201210001110211 + -121?\nAnswer: -201210001111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -44\/3*r**3 + 97\/6*r**4 + 0 - 174*r**2 + 0*r + 3\/5*r**5. Factor q(y).\nAnswer: 4*(y + 11)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 1:30 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1)\/(7 + -1 - 5). Let y(r) be the first derivative of 0*r**2 + a*r - 2 + 1\/12*r**3 + 1\/16*r**4. Let y(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (217\/155)\/((-7)\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.4 - 8.4. Let u = -107 + 104. Which is the smallest value? (a) y (b) u (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m - 15463 = -40*m - 40363. Is m smaller than -251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(5\/12)\/((d**(1\/2)*d)\/d**(-1\/6))*((d*d**(2\/5)*d)\/d**(-4))\/((d\/(d*d**(-5\/6)))\/d*d**(2\/7)) assuming d is positive.\nAnswer: d**(502\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v + 22. Let q be 4\/v + 36\/21. Suppose s + 4*s - 10 = d, -q*s + 6 = 0. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgptgpttpsppttpppt. What is prob of picking 2 s?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122813300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1 + 8\/10). Suppose 0 = 4*q + 16, 3*m - 3*q = 2*q + 23. Suppose -3*z = -h - m. Which is the nearest to 5? (a) z (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227\/3 - 75. Which is the closest to k? (a) -0.5 (b) 7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349689906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 - 154 = -2*p. Suppose -5*w + 459 = -4*m, 3*m + 44 = 3*w - p. Is (-4)\/(-6)*(-4 - m) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1333 = -1258*d + 34041 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**3\/6 - g**2\/2 + 13. Factor s(z).\nAnswer: z*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**3\/4 - 39*z**2\/8 + 45*z\/2 - 733. Factor r(w).\nAnswer: 3*(w - 10)*(w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -419848 by 104962.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t\/((t\/t**(-4\/3)*t)\/t)*t)\/t)\/t)\/t)\/t**(-1))\/((t**0\/t)\/t*t*t*t**(2\/15)*t))**(-34\/7) assuming t is positive.\nAnswer: t**(1768\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2448) + (1*sqrt(2448)*-3 + sqrt(2448) - sqrt(2448)) + 0 + sqrt(2448) + -1 + -3.\nAnswer: -12*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -21. Suppose -5*n = -2*p - 1, -4*n + 3 + v = 4*p. Which is smaller: n or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 (base 8) in base 15?\nAnswer: 2d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x + 2*x - 12*x)*(0 + 0 + x) + 3 + 9*x**2 - 8*x**2 + 17 + 3*x**2 + 2*x**2 - 2*x**2.\nAnswer: -20*x**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**3 - 60*b**2 - 129*b - 66 = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19557 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5268 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 10. Let t(y) = 12*y**2. What is p(t(s))?\nAnswer: -60*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by 2?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4))**(-10\/3)\/(p**(2\/3))**(-4\/23) assuming p is positive.\nAnswer: p**(928\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -3. Let n = 18 - 60. Let w be 214\/14 - (-12)\/n. Calculate the greatest common divisor of w and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 769150 * 0.3.\nAnswer: 230745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9768*u + 108820 + 190828 = -12928 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-284314*r + 284314*r - 775*r**2)*(4 + r - 4) as k + u*r**3 + f*r**2 + x*r and give u.\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1860 is divided by ((-3156)\/(-84) - 3\/(-7)) + 2 + -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 661*j + 6 = 663*j + d, 0 = 5*j + 4*d - 15. Solve 9*a = 24 + j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 857240 and 4010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00382 to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*q + 51, 0 = 5*q + 3*g + g - 136. Suppose -36 - q = -4*m. Suppose -20*i - 3 = -20 - 43. Solve h + i*h + m = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k - 11. Let o(h) = 5*h**2 - 4*h - 58. Let v(i) = -2*o(i) + 11*q(i). Give v(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 14, v: 1}. Give prob of picking 4 y.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 3. Let p(w) = -4*w - 3. Determine 4*p(a) - 3*x(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 9) + (-6 - (9 + -17)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 + 175. Let x(r) = 23*r**2 + r - 12. Does 20 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65202 = 10*v + 74848. Let p = -195963\/14 - v. Calculate the common denominator of 5\/4*(-22)\/(-13) and p.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 - 14 = -t, 2*c - 5 = t. Suppose -1 = c*p - 9. Solve 0*r + p*r + 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 15) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7084.3 > -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6*q*q\/(q\/(q\/(q*q**(-3)*q))))**(4\/17) assuming q is positive.\nAnswer: q**(36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 4. Let t(f) = -f**2 - 19*f - 30. Let u be t(-17). Determine j(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*252\/21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41320620 and 2860.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 831602693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {w: 3, b: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**(13\/5)*(a**(2\/5)\/a*a)**(-13\/3))\/((a\/a**(-1)*a)\/a*a*a**1*(a**0)**(16\/9)) assuming a is positive.\nAnswer: a**(-211\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7288 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -20\/111 (c) 0.02 (d) 2\/15 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -119757.66 minus -1?\nAnswer: -119756.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 8. Let f(m) = -m**3 - m**2 - m - 10. Let x be f(0). Does 14 divide u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-1 - -1))*1. Solve 9*v**2 + 2*v**4 + 22*v**3 - 3*v**2 - 6*v**5 - 9 + b - 16*v = 0 for v.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 131*w**2 + 2*w + 9. Let v(g) = -261*g**2 - 5*g - 21. Give -5*s(o) - 2*v(o).\nAnswer: -133*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.19 (b) -0.1 (c) 0.361 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9970679, 19941368, 29912059, 39882752?\nAnswer: 49853447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 + 2 = 0. Let m be 3\/(12\/(-4)) + (1 - -5). Solve j + x*j + 4*y + m = 0, 0 = -2*y - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 20. Suppose 0 = 4*u - 21 - 31. Let p = -9 + u. Solve -p - 8 = t*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 4*h - 4*f, -3*f + 56 = -7*h + 5*h. Let u be 2 + (56\/(-2) - 1). What is the hundreds digit of (u - 0)*11\/(66\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.86 - 0.46. Let m = -0.219 + -0.281. What is the second biggest value in -1\/9, 2\/9, m, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 + 3*f**2 - 6*f. Let q(d) = 4*d**3 - 4*d**2 + 7*d. Suppose -11*c - 36*c - 184 = -c. Give c*q(a) - 5*p(a).\nAnswer: -a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:11 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -232, -244, -174, -28, 188, 468, 806?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 105*q**4\/2 - 171*q**2 + q - 267. Differentiate u(g) wrt g.\nAnswer: 1260*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1028, 1051, 1098, 1175, 1288, 1443, 1646?\nAnswer: 1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = -4. What is the smallest value in 0.2, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64612504.\nAnswer: 2, 11, 734233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 158, 119, 36, -103, -310, -597?\n\"Answer: -2*u**3 - 10*u**2 + 5*u + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s + 19. Suppose 3*c - 10 + 28 = -2*g, 2*g = 0. Let t be a(c). Solve -3*x + t = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2600421 (base 10) to base 6.\nAnswer: -131422553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -435440.5997 to the nearest 10.\nAnswer: -435440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3988 and 9545278.\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*y**3 - 33*y**3 - 65*y**3 - 88*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 66044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by -20*(5\/(-2) - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-36)\/(-5))\/((-6)\/(-90))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v**2 + v - 1. Is o(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -138\/7 (b) 3\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 25*m - 15*m + 20*m in the form q + j*m and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -87 and 572682.\nAnswer: 572595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*z + 30604 - 10181 + 104627. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -658*j**2 - 7620*j + 7620*j + 2 + j**2 - 2 + (2*j - 2*j - j)*(3*j - j + 0*j).\nAnswer: -659*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njfjfninfinjmfd. Give prob of sequence ifj.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 1 = 10*q - 13*q, -5*q - 2*d = -17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 253579 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 2*l**2 + l + 1. Let r be k(-2). Let m(h) = 72*h**2 + h + 2. What are the prime factors of m(r)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:35 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1001804 - -1) + (-4 - -1) + 6. What is q rounded to the nearest 10000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = 4*v + x, -2*v + 9 = -3*x. Solve v = -6*y + 14*y + 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Let v = 8 - 7.7. Let o = v - 0.3. Which is the closest to 0? (a) o (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 41642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 8*a + 8. Let r be d(7). Suppose -5*z - 5*u - 25 = 0, 4*z = 4*u + 13 - 33. Sort -4, r, z in increasing order.\nAnswer: z, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1101, 1102, 1103, 1104, 1105, 1106?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-16)*-2*(-68)\/(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*o + 5 = 1, -4*g + 23 = -3*o. Solve -2*i - g = 4*s, 4*s - 2 = 4*i - 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j**2 + 19*j**4 - 47*j**3 + 38*j - 8 - 34*j**2 - 7*j**4 + 9*j**5 + 6*j = 0. Calculate j.\nAnswer: -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y + 1325 - 1467 - 4*y**2 - 13*y + 6*y**2 + 5001 as m*y + k*y**2 + w and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4) + -33*(-9)\/(-6). Let n = a - -87. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*h + 8. Let v be h\/(-6) + 80\/30. Suppose v*w + 85 = 3*f, -31 = -f - 5*w + 20. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + -3.97. Let r = -13148.8 + 13149. Which is the third biggest value? (a) w (b) -0.5 (c) r (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 73*f**3 - 2*f**2 + 6*f - 4. Let n be 3148\/10 - 9\/(-45). Let y be ((-8)\/10)\/((-18)\/n). Let q be j(y). Round q to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -12. Solve 2*r - w = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5746350 divided by -7926?\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 14) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 4 (c) -3 (d) 1062\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6302, -12594, -18888, -25184, -31482, -37782?\n\"Answer: -t**2 - 6289*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2)*(-o**2 - 2*o**2 + o**2) - 3*o**2 + 5*o**2 - o**2 + (-12 + 4 - 6)*(-13*o**2 + 15*o**2 + 6*o**2) to the form c*o + i*o**2 + y and give i.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35682*f**5 + 25928*f**5 + 3*f - 31*f + 55 wrt f.\nAnswer: -195080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -10*j + 646. Find the second derivative of 3*m**2 + 34*m**3 + 49*m - 102*m - 4 + j*m wrt m.\nAnswer: 204*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f. Let x(u) be the third derivative of -u**8\/20160 + u**5\/30 + 2*u**2. Let d(s) be the third derivative of x(s). What is i(d(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*2*sqrt(187)*1)\/(sqrt(539) + -1*sqrt(539)*-4))**2.\nAnswer: 612\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 147.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnennnnne. Give prob of sequence nenn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 8*r**2 - 11*r + 7. Let j be u(-9). Suppose -40*w + j = -35*w. Let i be w + 1 - 2*-2. What is the highest common divisor of i and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/9, 5, -1\/3, 362.9, 1\/2, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-14) - (-4 - 0). Let v(t) = 107*t + 2. Is v(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 15 = 3*o, 176*o - 180*o - 5*c + 52 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**3 + 8*l**2 - 37*l - 7. Let j(b) = b**3 - b**2 + 2*b + 1. Give -h(o) - 5*j(o).\nAnswer: -o**3 - 3*o**2 + 27*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87\/805 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 284052 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001220962 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624.0816 rounded to zero dps?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 3*q - 1. Let k = -11 - -7. Is f(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4307*s**3 - 13224*s**3 + 3444*s**3 - 12776*s**3.\nAnswer: -26863*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from {n: 1, a: 1, i: 6, d: 5, p: 2, r: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1607, -1588, -1539, -1448, -1303, -1092?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a decade?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 9*c - 2*c)*(-118342 + 118335 - 8*c - 5*c) + (0*c + 0*c - 2*c)*(0*c - 4*c + 6*c) + 0*c**2 - c**2 + 2*c**2 - c + c - c**2 + 2*c**2 + 3*c - 3*c.\nAnswer: -80*c**2 - 42*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43588 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -1727*a**5\/20 - a**4\/6 + 176*a**3\/3 - 15*a + 13. What is the third derivative of j(w) wrt w?\nAnswer: -10362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) + 207\/(-45) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 13. Solve -r = y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 4.3. Let x = t - -4.2. Which is the nearest to 0? (a) -0.4 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(19\/(-5) - 1). Let b(w) = w**2 + w. Let p(t) = t**3 - 8*t**2 - 8*t + 1. Let v(s) = r*b(s) - 3*p(s). Differentiate v(u) with respect to u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12834369 rounded to 4 decimal places?\nAnswer: -0.1283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -37?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2005*k - 2015*k + k**3 - 2020*k + 7033*k - 993*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 + 24 = 0. What is the remainder when 87 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + n**2 + 2. Suppose c + 5 = l, 6*c = c - 5*l + 25. Give q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.516489 times 0.2\nAnswer: 0.7032978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 29 + 19 - -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -444 - -441. Let v(j) = 10*j - 4 + 3*j**2 + 7*j - 15*j. Give v(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*14999250\nAnswer: -11999400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0*b + 30 - 27 + 5*b - 6.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195756 divided by -6.\nAnswer: 32626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - 14)\/(4\/6). Sort 22, -1, n in descending order.\nAnswer: 22, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37980 is divided by 2195?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14713*b**4 - 74*b - 16.\nAnswer: 176556*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:02 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1296) - (sqrt(1296) + (sqrt(1296) - 2*sqrt(1296)))*-4)\/(1*sqrt(200) - sqrt(8) - sqrt(648)*1) + -5)**2.\nAnswer: 162*sqrt(2)\/5 + 2187\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -u + 3*u - 10, -3*d = 9. Suppose z = u + 1. Suppose -3 = m - 7. Solve z*r + r = m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76611\/5 + -15391. Which is greater: y or -70?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -2*x**3 - 20*x**2 - 2*x + 6. List the prime factors of z(-9).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.33 + 0.27. Let k = j - 37.6. Let p = -32.999916 - k. Round p to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(14)*3)\/sqrt(2) + -1)**2.\nAnswer: -320 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - u**2 - u - 2. Suppose -8 + 3 = -q. Suppose -x = 5*h - 2*h - 9, -q*h = 4*x - 15. Give l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 53 = -35. Is 23 a factor of (-84)\/(-126) - 229\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 52*t**2 - 268*t + 40 = 0.\nAnswer: 2\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 14. Let r be g(-8). Let n = 51\/5 + r. What is f in -1\/5*f**3 - 1\/5 + n*f + 1\/5*f**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/22)*x)\/x)**36*(x\/x**(-1\/24)*x)\/x*x**12\/x assuming x is positive.\nAnswer: x**(4475\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + 5 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5))**(-3\/10)*(k**(-1\/9))**(8\/7) assuming k is positive.\nAnswer: k**(173\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 5*f**2 + 5*f. Suppose -j + 3 = -2. Suppose -13 = -j*h + 7. Calculate the lowest common multiple of h and t(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 0.131\nAnswer: -4.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - h = -11, -5*h + 14 + 14 = p. Solve p*a + 5*m = 1, -2*a = -0*a + 2*m + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16861754.\nAnswer: 2, 7, 13, 92647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from gohccccyc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23589180 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/15 + 4*l\/5 + 14\/15.\nAnswer: -2*(l - 7)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/216 + (33\/270 - 0)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - (sqrt(110) + 2*sqrt(110) + sqrt(110) - sqrt(110))) - sqrt(110))\/sqrt(5))\/(sqrt(2) - sqrt(98)*1).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/120 + 3*c**5\/20 - 7*c**4\/12 - c**3\/3 + c**2. Let i be f(-10). Let l = i - 17. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 46*x - 3. Let r(s) = -123*s + 8. Let l(f) = -8*n(f) - 3*r(f). Let d(c) = -9230*c. What is l(d(p))?\nAnswer: -9230*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 8, f: 2, n: 1}. Give prob of picking 1 q, 1 n, and 1 h.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (8 - (-4 + 2)) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 9. What are the prime factors of 1\/h - 99\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 176*q**2 - 446662*q - 65988.\nAnswer: 2*(q - 2538)*(88*q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/36630 - 373649\/842490. Let s = -1\/23 - q. Find k such that 2\/5*k**3 - 2\/5*k + 2\/5 - s*k**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4980 and 593779604?\nAnswer: 593774624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 308563 (base 9) in base 3?\nAnswer: 100022122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2362*x - 2510*x = 477456 for x.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7900990 is divided by 792.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - (-23 + 3)) + -12\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyjtjtyjyyt. What is prob of picking 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.77 and -3381.413.\nAnswer: 5985.10101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1 + 5. Suppose -6*z - 2*z = -24. Which is the nearest to 1\/4? (a) 1\/3 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 8:18 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 340123*k**3 - 537*k**2 + 57*k + 8 wrt k.\nAnswer: 2040738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2010114 and 96130746?\nAnswer: 1634222682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 18*d - 2. Determine j(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 19 = -3*r, -3*r - 4 - 11 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 + 10 = 0. Suppose -j - m = -2*j. Sort 0, j, 2.\nAnswer: 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -546 (base 7) to base 4.\nAnswer: -10113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y - 3561*y**3 + 207188*y**2 - 207187*y**2 - 4*y - 2 + 2 - 2*y**3 + (3*y + y - 2*y)*(0 + 0 + 2*y**2).\nAnswer: -3559*y**3 + y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**4\/6 - 7*t**2\/2 - 8*t. Let i(g) be the first derivative of h(g). Let u(p) = 4*p. Calculate u(i(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1856174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/3*(-217)\/(-2). What is p rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 32517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 66. Let a(u) = -4*u**3 + 5*u**2 - 6*u. Let h(f) = -6*f**3 + 7*f**2 - 9*f. What is r*a(n) + 5*h(n)?\nAnswer: -2*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*u - 18 - 16, 0 = 3*j + 3*u - 3. Let q(n) = -3*n + 4. Let o be q(j). What are the prime factors of 2\/o - 310\/(-14)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 43*p**3 + 4*p + 4. Let j(y) = -1504*y**3 - 141*y - 141. Let l be (-421)\/(-1)*(-10)\/30 - (-6)\/(-9). Calculate l*a(h) - 4*j(h).\nAnswer: -47*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d**(-3)))*d)\/(d*d**2\/d))\/(d*d**(-6)\/d*d**(3\/5)) assuming d is positive.\nAnswer: d**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423 (base 7) to base 5.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x - 53*x + 74*x + 8897*x**2.\nAnswer: 8897*x**2 + 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*i - 470*i = 13361 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (53 - (-42 - -66))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3483054.2 to the nearest ten thousand.\nAnswer: -3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3768988 + -3768987.10000096. Let j = 0.9 - i. Round j to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 less than 0.115?\nAnswer: -3.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/13621 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -5 + 3*70\/15. What is the lowest common multiple of (-24)\/u + 2 + 3 - -1 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.1 (c) -6\/487\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43999 = -h + 2*d, 235*d - 233*d + 175996 = 4*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(147) + sqrt(147) + -3 - sqrt(147)*2*-2)**2.\nAnswer: -420*sqrt(3) + 5317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 65*y - 37. List the prime factors of h(4).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14785459515*y**2 + 2*y**3 - 14785459515*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/4 - 3*m**3 - 5*m**2 - 3*m + 1. Suppose 19*c + 704 = 9*c - 78*c. Calculate w(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -4*b + 0 - 1\/2*b**2 + b**3. Let d(y) = -12*y + 2. Let m(a) = 2*d(a) + 5*u(a). Calculate m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i = -24*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(810)*-3)\/(sqrt(55)\/(sqrt(132)\/(sqrt(12)*2))))**2.\nAnswer: 6561\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -135*b**3 - 45*b**2 - 62*b - 12. What is f(-1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1939 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256551, 256554, 256557, 256560?\nAnswer: 256563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 6*s**2 + 8*s + 4. Let k be i(4). Is 438\/(8\/k) + (-15)\/(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 196.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-4)*4\/14. Suppose 0 = -2*l + 3*y + 8, -l + 7 = -y - c*y. Which is smaller: l or 5\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7363, -7316, -7283, -7270, -7283, -7328?\n\"Answer: -k**3 - k**2 + 57*k - 7418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*sqrt(171) + -1))**2.\nAnswer: 288*sqrt(19) + 24640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 27.16.\nAnswer: -923.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -19196676 not equal to -19196641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(91\/(-58)))\/((-170)\/(-1190))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 52 + 32 = 0. Let i be -3*(1 + (-5)\/3). Solve 5*o - 27 = i*w, -3*w + x*o - 28 = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let z be -1 + ((-14)\/(-18) - 0). Let o = 0.3 + 1.7. Which is the closest to f? (a) -5 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2895801*b**2 + 15*b - 44565677.\nAnswer: 5791602*b + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, -1\/4, -2.19, -0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2073752958 - 2073752958 + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v**2 - 149*v**2 + 19*v**2 - 266*v**2.\nAnswer: -452*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34464, -34466, -34470, -34476, -34484, -34494, -34506?\nAnswer: -34520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:19 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4845, 5591, 6337?\nAnswer: 7083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*p + 24, 9*t + 5*p = 4*t + 25. Suppose 5*x - t*x = 2. Let w(u) = -u**2 - 7*u. Let s be w(-7). Solve s*k - x*k = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from ncncygynnnnoccono?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 1}. Give prob of picking 1 w and 1 j.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*s + 15, -5*v = 3*s - 2*s + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 16 + 34)*(6*s**3 + 15*s + 4 - 15*s) to the form v*s**2 + c + r*s**3 + n*s and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276417302.\nAnswer: 2, 7, 193, 102301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11474?\nAnswer: 2, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 5. Let g be l(4). Let b = 6 - g. Is (14\/(-6))\/(b\/45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -24*f + 1. Let x be c(-1). Let p = 40 - x. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 - 76\/380. Which is the nearest to 0.1? (a) -0.1 (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 116, -4, -2\/5, -0.1, 51, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702214 - 15*x + 69*x - 702184.\nAnswer: 54*x + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32155135 - 4?\nAnswer: 32155131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:45 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = 5*l - 32, -3*l + 16 = 5*v. Let u be (1\/4)\/(l\/(-12)). Is u greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 542?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1351 = -8*w. Let l = -953\/5 + w. What is the common denominator of l and -83\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -68. Let u(n) = -3*n**2 + 11*n**2 + 11 - n**3 - 8*n + 3*n**2. Is u(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2722 - -84.8678. Let a = s - 85. Let x = -1.14 + a. Are x and -0.02 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**2 - 80872 + 80863 + 5*w**2 - 3*w.\nAnswer: 30*w**2 - 3*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -4*y - 9*z, -1163*z + 1167*z = -16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17224505 a multiple of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 - 117. Let y(u) be the third derivative of -u**5\/60 + 7*u**4\/24 - u**3 - 2*u**2. Let p be y(6). Solve 2*a + 0 + c = p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 5*y + 6. Let g be i(-6). Suppose 2*v + g*v = 8. Calculate the smallest common multiple of 22 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 377201.2 years?\nAnswer: 37720.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2 - 4)*(224\/(-24) + 7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4. Let z = -3 + 7. Suppose 0 = -z*d + 6*d. Solve w - y + 0 = d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17380.772 + 17370. What is v rounded to two decimal places?\nAnswer: -10.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-60))\/(4\/6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 376.9682 - 377. What is b rounded to three dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 113366842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-70) + (-114)\/182\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 35. Put 0, l, 2, -1 in decreasing order.\nAnswer: 2, 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55224 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27475199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/48 and 67\/660?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 56. What is the units digit of (-14)\/f + (-612)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/367 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 + 1. Suppose 0 = 3*f - 9, -5*j + 4*f = -0*f + 17. Calculate the remainder when 27 + -1 + 1 + -1 is divided by g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-2\/5)*x)*x*x**(2\/15)*x\/x**(-12)*x**12\/x assuming x is positive.\nAnswer: x**(383\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1 (b) 5 (c) -1\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2*15\/10. Solve f = -m*u + 11, 3*u = -u - f + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 20 + 8. Let c(z) = -6*z + x*z - 2*z - 3*z. Let f(q) = -q. Calculate c(f(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1464 and 1533768.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*j = 11, -25 - 3 = -5*k + 2*j. Factor -17*a + 8 + 28*a**2 - 6*a**2 + k*a + 59*a.\nAnswer: 2*(a + 2)*(11*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18950, 37891, 56832, 75773?\nAnswer: 94714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1329492*n**3 + 14*n**2 - 1347841*n**3 - 14*n**2)*(-2 + 1 - 3) to the form c*n + x*n**2 + g*n**3 + s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005396 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u. Suppose 0 = 5*v - 4*q + 82, -4*q = -5*v + 2*v - 54. Let p(l) = -2*l - 26. What is the least common multiple of g(-5) and p(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 + 12*v**2 + 26*v + 9. Suppose 12*u + 66 = 198. Let a(n) = -8*n**3 + 36*n**2 + 77*n + 26. Let x(f) = u*d(f) - 4*a(f). Is 6 a factor of x(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + -2 + -2*sqrt(425))**2 + -1 + (-6*1*sqrt(170) - sqrt(170))\/(sqrt(160)*2).\nAnswer: -3403 + 313*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:50 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 531341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -81*s**2. Let c(t) be the first derivative of -t**3\/3 + 237. What is c(x(i))?\nAnswer: -6561*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-9)*(-126)\/35)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftt when three letters picked without replacement from {f: 3, t: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(145\/(-58)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624162 is divided by 406.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 + 2*n**2 + 0*n**2. Let t(g) = 17*g**2 - 5*g. Let q(w) = 60*w**2 - 18*w. Let y(c) = -5*q(c) + 18*t(c). What is y(o(a))?\nAnswer: 216*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000485438443 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -h - 11, 3*u + 3*h - 39 = 0. Suppose -5*q + 7 = 2*k - u, -3*k + 5*q + 16 = 0. What is the highest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(1191*u - 555*u - 535*u)*(0*u**2 - 2*u**2 + u**2).\nAnswer: -101*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - -17)\/(-54) + (-1)\/12. Which is the second smallest value? (a) x (b) 7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:29 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {k: 17, t: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 308, -2\/35, 0.06?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 26*r**5\/115 - 21*r**4\/23 - 40*r**3\/69 + 168*r**2\/23 - 256*r\/23 + 1352. Let n(h) = 0. What is h?\nAnswer: -2, 16\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**2 + 12*v. Let o(q) = -q**2 + q. Calculate -22*o(w) + 2*t(w).\nAnswer: 4*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/48)\/((-6)\/48)*2*5\/18.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533.9038 hours to seconds.\nAnswer: 1922053.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000112042217 to seven decimal places.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-1\/4)\/o*o*o)\/((o*o**(-6)*o)\/o)*(o\/o**(1\/5))\/o**3 assuming o is positive.\nAnswer: o**(111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71334283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/350 - 7*w**6\/200 + w**5\/10 - 64*w**2 + 2*w. Solve p(o) = 0 for o.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.32 + -5.335. Let q = 0.015 + l. What is the third biggest value in -4, -1\/4, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28143.5 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282520346*z**2 - 16073015*z + 1.\nAnswer: 565040692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4936\/(-4222748))\/(1\/(-59))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 7:23 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.03, -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 0, 3 = -2*u + 4*g + 11. Suppose -140 = -4*b - 3*k, u*b - 164 = -3*k + 6*k. Let f = b - 34. Solve -5*p - f = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u = 31*u + 15. Solve -x = -4*o - 7, 2*x + 24 = -x - u*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10)*(6 - 16). Suppose 0 = z - d*z + 273000. What is z rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) -337 (c) -10443\/14 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147369.\nAnswer: 3, 49123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-212)\/(-6) - -2) + -2)*3. Suppose x = p + 13. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 8 = -4*m - 8, 6 = 3*m - 3*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4 + (-211)\/(-4))\/((-33)\/(-352)*16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c*t - 208*c - 10*t**2 wrt t.\nAnswer: -10*c - 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 49, -0.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/71400 and -73\/289800?\nAnswer: 4926600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.94 - 0.06. Which is smaller: h or 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 17*g - 42. Let i be a(6). Let u = i - -17. What is the greatest common factor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -21.9352.\nAnswer: -21.7352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4076, 8151, 12226, 16301, 20376, 24451?\n\"Answer: 4075*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -29. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 344\/11 - (-15)\/2*1586\/(-43615)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 4 = n. Suppose 9 = -z + n. Let q(m) = 453 - z*m - 453. Let u(o) = 3*o**2. What is u(q(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9 = 4*d + 4, 2*m - d = 2. Solve 5*x - 11 = -m, -4*u + x = -10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = c - 45, 5*i - 4*c - 75 = c. Let r be 4\/(-14) + i\/(-21). Put 4, r, 3 in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 42*y**2 + 37*y + 5. Give s(-42).\nAnswer: -1549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*w - 108670 + 108698 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 6*n**2 - 4*n - 2. Let i(g) = g**3 + 5*g**2 + 3*g + 2. Let b be -12*(18\/8)\/(-9). Calculate b*k(p) + 4*i(p).\nAnswer: p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*2*-2*4*(-1*sqrt(1539) + 2)*-2)**2.\nAnswer: -1327104*sqrt(19) + 56881152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 4*z**2 + 6*z + z**2 + (-2 + 2 + z**2)*(-2 - 1 + 2) - z**2 - 2*z**2 + 2*z**2 - 5*z**2 + 0*z + 0*z.\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 2*v + 1. Let f(d) = 4*d**2 + 3*d - 3. Let a = 232 - 227. Suppose -3*z - a*h = -0*h + 21, -2*h = -3*z - 21. Determine z*s(t) - 3*f(t).\nAnswer: 2*t**2 + 5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 2:34 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25705527 to 3 dps.\nAnswer: -0.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -1347?\nAnswer: 404.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/120 + z**5\/60 - 5*z**4\/24 - 2*z**3\/3 + 14*z**2. What is q(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34855*l**2 + 23114*l**2 + 11765*l**2.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 55194762?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1980, -15078, -50630, -119862, -234000, -404270, -641898?\n\"Answer: -1871*l**3 - l**2 + 2*l - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11124*w**3 + 5 - 10880*w**3 - 2 - 2*w.\nAnswer: 244*w**3 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72864 is divided by 295.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*n - 69 + 9, 90 = 3*j + n. Calculate the remainder when j is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/((24*42\/1296)\/14)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200668532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424*-115.4.\nAnswer: -48929.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 15. Suppose h*n + 54 = -d - 26, -3*n + 4*d = 25. Let o = 74 + -75. Sort o, 0, n.\nAnswer: n, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 98, 141, 200?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3730507072.\nAnswer: 2, 7451, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -76. Suppose -j + 226 = a*x, 0 = 2*x - 6*x - 12. Let p = j + -79. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(-31*u + 25 - 9*u + 0*u - 31 - 20) in the form v + t*u and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*h - 56076, d - 5*h - 15946 = 12089. Is 8 a factor of (-2)\/7 + d\/140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = -5*v + 10, -20 = -4*v - u. Let n(l) = -11 + 45*l - 6 - 82*l + 40*l. Let f(w) = -w + 6. Calculate v*n(i) + 17*f(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = 7. Let j = 273 + -476. Let l = -194 - j. What is the lowest common multiple of l and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1305 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -8, -15, -24, -35?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4785926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 41*c + 127. Let p(b) = -176*b + 208. Is p(c) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 + -137. Let j be ((-84)\/315)\/((-4)\/d). Sort -21, j, 2, 1.\nAnswer: -21, j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f - 6. Let q(b) = -b - 9. Let c be q(-11). Let k(x) = -3*x + 3. Calculate c*s(g) + 5*k(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)*z\/z**(-3)*z**(-7)\/z*z**(-3)\/z assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = 9*w. Suppose 3*f = 4*p - 8, -3*p + 7 = 4*f + 1. What is the remainder when 36 is divided by 5*(0 - p\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5539227 divided by 3.\nAnswer: -1846409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 3, 23, 10383, -2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 856 divide 98321589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {c: 4, p: 5, y: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*g + 171 + 156, 0 = 3*g - 3*l - 261. Let x = g + -43. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88242?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1687 + -667. Suppose m + 3*m = k. Calculate the remainder when (2\/(-3))\/((-10)\/m) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-691)\/(-9) + (-138)\/(-621)*((-24)\/6 - -5)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 180.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**8\/168 - l**7\/105 + 367*l**6\/60 - 2023*l**5\/60 - 2*l**2 + 399. What is the third derivative of y(v) wrt v?\nAnswer: 120*v**2 - 48*v + 4404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110869290455 + -110869290450.5463043437. Let o = n + -0.0536952363. Let i = 4.4 - o. Round i to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 17*g + 2. Let k(y) = -671*y**2. Give m(k(x)).\nAnswer: -11407*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 6:46 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (-3*(sqrt(891) - (sqrt(891) - (-3*sqrt(891) + 1))) - (0 + (0 + sqrt(891))*-1)))**2.\nAnswer: -540*sqrt(11) + 89109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0042353427 to six decimal places.\nAnswer: -0.004235","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 164862*f - 824332. What is p(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188275 and 850.\nAnswer: 376550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -1*(-3 + 4). Let c be 1*((x - 4) + -3). Let p(i) = i**2 - 2*i + 9. What are the prime factors of p(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 512*t - 19. Let k(y) = 341*y - 14. What is 7*k(r) - 5*o(r)?\nAnswer: -173*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -41, -38?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 26\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in 2\/19, 1\/11, -312, 0.16, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 - 10*t + 5. Determine n(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = -3*t, 16 = 4*j - 3*t + 2*t. Suppose -18 = j*p - 10*p. Determine v, given that 2*v**3 + p*v**3 - 7*v**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4207209?\nAnswer: 3, 73, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*i - 23 = 0, 2 = -4*i - 10. Suppose g*j + 12 = 2*a, 4*a - 35 - 5 = 4*j. Suppose 2*l = -0 - 8, l = -2*d + a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:33 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooommoscoosoc. What is prob of sequence mmc?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auaeayueraalaal. What is prob of sequence raua?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5406 + (-2)\/(-10) + 168\/(-40) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -0.7\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/31 - 57\/155. Suppose -5*s = -0*s + 10. What is the closest to 1\/2 in a, 19, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2)\/(-2) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 62. Solve 568 = -s*m + 556 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/12)\/(7170\/1912)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(55\/30) - 0. Suppose -8*t - 2912 = x*t. Let l = 461\/2 + t. Which is bigger: l or 22?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/33 + (-272)\/44. Suppose h - 3 + 6 = 2*b, -5*h = -4*b + 21. Which is bigger: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 34 + 30. Let b = -216\/185 + -6\/185. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10957, -10958, -10959, -10960, -10961?\nAnswer: -10962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 21 (b) 5 (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3))\/n*n**(-3\/7))**(4\/29)*((n\/n**(-1)*n)\/n)**(-7)*((n**(-5)*n)\/n)\/(n*n*n**3*n) assuming n is positive.\nAnswer: n**(-5171\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 22 = -2*r, 3*r + 2*h - 17 = -0*r. Let a be 11 + (-9)\/r - 3. Sort 4, a, 2 in descending order.\nAnswer: a, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3033 (base 13) in base 16?\nAnswer: 19e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 1)\/(4 - 3). Suppose -o - u*o = 0. Let x be (-3 + (-3 - -5))*o. Solve -3*s = 5*k + 34, 0 = -2*k - s - x - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6424.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 9. Let u(b) = -3 + 341*b**2 - 44*b**2 - 211*b**2 - 42*b**2 - 8*b - 45*b**2. Calculate u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**4\/6 - 32*t. Let j(l) = 20*l**2. Calculate u(j(f)).\nAnswer: -800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10)\/d**(-2) assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*f - 2*f + f)*(-2 + 10*f + 1 + 2) as h*f**2 + k + d*f and give h.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 3*l**2 - 3*l - 2. Let t(w) = -w - 3. Let o be t(-5). Suppose 5*y + 3 = 4*n, -2*y + o = -3*n - 1. Give z(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 234 - 68*b**2 + 68*b**2 + 4*b**3 - 4*b**3 - b**3 to the form y*b + g*b**2 + n + i*b**3 and give n.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -105*z + 69. What are the prime factors of w(-2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.79 + -0.21. Let h = 11 + v. Let z be -1*(-1)\/(-2) + 1. Which is the nearest to z? (a) 2 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12240, -24515, -36800, -49095, -61400?\n\"Answer: -5*j**2 - 12260*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 5*m - 4. Let t = 1 - -2. Let u be y(t). Let o be 2\/4*10*1. Solve -12 = o*s - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3705*k**5 - 30*k**2 - 2062*k + 1. Let m(l) = -5*l**2 - 2*l. Let d(z) = g(z) - 6*m(z). Find the second derivative of d(i) wrt i.\nAnswer: 74100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -15, -84, -211, -414, -711?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(475) + 1*sqrt(475)) - 4*(sqrt(475) + 0)) + -3*(sqrt(76)*-2 + 4))**2.\nAnswer: 432*sqrt(19) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*j + 840 = 142*j - 379*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 10*o**2 - o**2 + o.\nAnswer: -12*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w**5 + 9*w**2 - 9*w**2)*((0 + 0 + 1)*(0 - 6 + 1) - 3 + 1 + 0 + (1 - 1 - 1)*(2 + 2 - 5)) + 2*w**3 - 2*w**5 - 2*w**3.\nAnswer: -56*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:24 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 41. What is the lowest common multiple of 125 and h(-23)?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -103. Let t = -53.5 - q. Which is the biggest value? (a) 0 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -14\/9 (b) 1.4 (c) 3 (d) -1 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1014, 1214, 1406, 1584, 1742?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*v**4 + 15384*v**3 - 470950*v**2 - 8499464*v - 31337202 = 0. What is v?\nAnswer: -239, -41\/6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62857b (base 12) to base 15.\nAnswer: 208ed8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -17. Let i(r) = -r + 13. Let v be i(0). Let q = v - c. Solve -10 = -q*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + j - 1 - 11)*(3*j**3 - 4*j**2 + 4*j**2).\nAnswer: 3*j**4 - 30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -865 + 863. Let s be 5\/(-3) + 1\/1. Which is greater: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91496706, 182993411, 274490114, 365986815, 457483514, 548980211, 640476906?\nAnswer: 731973599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(-4*g + 6*g + 14*g) + 0*g + g - 2*g)*(130*g**4 + 74*g**4 - 40*g**4).\nAnswer: 2460*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-135)\/320)\/((-1)\/(-4)))\/(26\/((-3536)\/(-102)))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 130.01607 nanoseconds?\nAnswer: 0.000000000001504815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1003578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(90) + (sqrt(90) - 2*sqrt(90)))\/sqrt(10))\/(sqrt(147) + (sqrt(147) - (sqrt(147) + sqrt(147) + sqrt(147)*2 - sqrt(147)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1386?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1, -0.3, 1\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.00161 and -0.645 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*m + 41*m + 11*m - 83*m + 1995.\nAnswer: m + 1995","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 316752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5847113mg in kilograms?\nAnswer: 0.0000005847113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 25. Suppose v - 76 = -w. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*(30 + -22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -63*l**3 - 8*l**2 - 6*l. Let x(c) = -188*c**3 - 23*c**2 - 17*c. Let f = -18400 + 18394. Determine f*x(a) + 17*y(a).\nAnswer: 57*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265328?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 3*m - 2. Let k be z(-4). Suppose 3*q = -k - 24. Does 3 divide (-48)\/(-10) + q\/5 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b - 736. Suppose -34*m + 121*m + 92*m = 90574. Calculate the highest common factor of m and b.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000080796 rounded to 7 dps?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6680\/39463 + -3\/589. Is a <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6*q - 9. Suppose 0 = 3*t + 2*m + 4 + q, 4*t = -3*m - 11. Solve -4*b - 17 + t = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 3*c**2 + c + c**2 - 2*c**2 to b*c + f + w*c**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - -1*(3 + -2). Suppose 5*n = j + 497, i*j = 4*n - 310 - 94. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 456*m**2 - 318*m - 2*m**3 + 158*m + 2*m**4 + 158*m + 221*m**2 + 13*m**2 to the form n*m + w*m**2 + h + a*m**3 + d*m**4 and give w.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 24*o**2 - 2*o + 61. Let b be i(24). Solve 16*s - b*s = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j. Suppose 3*y - 97 = -46. Let c(a) = -5 - y - 2*a**2 + a**3 + 11 + a**2. What is c(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = 3*a - 49, 2*u + 5*a = -57. Let h(v) = 6*v + 99. Let f be h(u). What is i in -8\/15*i**2 + 0 + 2\/15*i**f + 8\/15*i = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 11*l = 436, -5*l + 2355 - 2550 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by 22\nAnswer: 47\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 55 = -3*r, -r + 11 = -u - 2*r. Let j(n) = n**3 + 13*n**2 + 15*n - 26. Is j(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:11 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 5*v - 16*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (107\/(-3))\/((-13)\/117). Differentiate -353*h + 56 + 649*h - y*h wrt h.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97332*m**4 + 203465?\nAnswer: -389328*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 10 = 3*y. Suppose 5*q - q - 3*w + 156 = 0, w + 68 = -2*q. Let l be q\/(-26) - (-2)\/(-39)*3. Is y equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 62\/3 of a hour?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10672669939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3078*r**5 + 3*r**3 + 708*r. Let t(n) = 3071*n**5 + 2*n**3 + 709*n. Let i(k) = 2*p(k) - 3*t(k). Find the second derivative of i(c) wrt c.\nAnswer: -61140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5123?\nAnswer: 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 338*q + 331. What is the tens digit of t(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(168\/32) - -3. Solve 4*l + 4 = -q, 3*q - k*l + 12 = -2*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -1\/3, 0.18, 36, -2\/7?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 2001?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3705*m**2 - 6*m.\nAnswer: 3*m*(1235*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388103.\nAnswer: 3, 337, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 8 - z - 11. List the prime factors of i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:12 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 760 by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 2267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 35*c - 5*c = 112317. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16701 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: Which is the closest to -0.1? (a) -0.1 (b) -0.5 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**9\/63 - 7*y**5\/60 + 2*y**2. Find the third derivative of z(i) wrt i.\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 7\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:13 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - x**3 + 24 + (-1 + 0 - 7*x**2 + 0)*(-9*x + 3*x + 8*x) as j*x**2 + w + p*x + d*x**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 5. Let k(i) = i. Give -2*k(m) - x(m).\nAnswer: m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 3 = 0. Let t = -7 + 9. What is the units digit of q + 4 + 2\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -4\/3 (c) 1 (d) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v**3 - 6*v**2 + 4*v + 3. Is t(3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-6)\/d*d))\/(d**(-2\/13)\/d) assuming d is positive.\nAnswer: d**(106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z**2 + z - 1. Let v(s) = s**4 - 2*s**3 - 2*s**2 + 12*s - 7. Let o = 193 - 190. Let k(d) = o*v(d) - 3*q(d). Let k(x) = 0. Calculate x.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3886*i - 617. Is y(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n + 33*n - 17*n + 45*n to h*n + o and give h.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4599 by -219.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -445.9779 + 446. What is s rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*r + 512 = -82*r. Solve r = -0*w + 16*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2270067*h**2*o**2*p - 10*h*o**2 - 2592*h*p + 2*o**2*p - 2 wrt h?\nAnswer: 4540134*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782.\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 - 109. Calculate the smallest common multiple of 54 and g.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 15. Suppose -2*u + o = u. Suppose -q - 2*i - 9 = 3*i, -i = -5*q + u. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 + -14 - (-175 + 164)) + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1615 + -1150. Suppose 2*h - k = -3*h. Suppose -5*d - 69 = -4*r, -4*r - 3*d + h - 32 = 0. Solve -r = 2*g + 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97300 is divided by 32408.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -172*h - 8. Let s(o) = 1. Let r(w) = 5*s(w) + z(w). Let j be r(-1). Suppose 0 = -2*m + 25 + j. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -387700.99 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 2633363750657+-3.3\nAnswer: 2633363750653.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -297437\/5 + 59507. Factor 17\/5*u**3 + 35*u - 93\/5*u**2 - 1\/5*u**4 - i.\nAnswer: -(u - 7)**2*(u - 2)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -7*m + 180. Let g = m - 12. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -91, -101, -113?\n\"Answer: -x**2 - 5*x - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 320512 a multiple of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1941581692.\nAnswer: 2, 485395423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 582143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2690*u + 676*u + 117810 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-6)*6\/4. Suppose -3*w - 1 = c. Let r = 3 + w. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 5\/3*d**3 + 0*d**2 - 1 + 7*d. What is the first derivative of u(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370045504.\nAnswer: 2, 5781961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 2*y**2 + 8*y - 9. Let c be 1*-1 - (10 - 7). Calculate the smallest common multiple of ((-16)\/(-14))\/(c\/(-14)) and h(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2311 (base 4) to base 15.\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 22*x**2 + 32*x + 14. Let s be d(-4). Calculate the highest common divisor of 697 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 471*j - 208*j - 113*j to the form w*j + c and give w.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - g + 3. Let x(o) = -4*o**2 - 3. Let m(p) = -3*i(p) - 2*x(p). Calculate m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 2. Let i be g(0). Let o(f) = 2*f**2 + 10*f + 9. Let d be o(-4). Let m = d + i. Is m 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 -3025*2\/(4\/(-6)) - (-6 + 1)?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + -0.18. Let o = -199 - -199.1. Which is the nearest to t? (a) -1\/5 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - 22\/(-126). What is the third smallest value in h, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 20. Let s(a) = a - 1. Let n be s(6). Let p(q) = -22*q + 10. Let k(w) = 58*w - 31. Let t(v) = 3*k(v) + 8*p(v). Calculate n*m(j) + 8*t(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(16\/792*33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 6*i + 3. Suppose 4*g - 17 - 23 = -4*n, -4*n = 3*g - 37. Give r(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11 - 2\/11*y**2 + 0*y.\nAnswer: -2*(y - 1)*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 40\/(-15))*63\/(-12). What is the closest to 1 in z, -1\/8, -2\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 3*w + 6*w - 949*w**3 - 5 + 2.\nAnswer: -949*w**3 - 5*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(-3\/5)*q**(-1\/4)\/(((q**(-1\/10)*q)\/q)\/q*q)*(q*q**(-1\/6)*(q*q**7\/q*q)\/q)**(-10\/11) assuming q is positive.\nAnswer: q**(-235\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -738*k - 408. What are the prime factors of y(-5)?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*(-60)\/(-18)*-3. Suppose -z*d - 9 = 6, -r + 4*d + 21 = 0. Is r bigger than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/70 - 11*y**4\/84 + 4*y**3\/21 - 9*y**2\/2 - 37*y. Let m(i) be the first derivative of j(i). Let m(n) = 0. Calculate n.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6 + b + 0 - 3*b**3 + b**3 - 3*b**3. Let r(j) = -4*j**3 + j + 5. Determine 6*r(s) - 5*z(s).\nAnswer: s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/2610)\/((-6)\/(-153)) + (-2)\/(-8). Which is the fourth biggest value? (a) -0.3 (b) 1\/6 (c) s (d) -1\/2 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5261760 to the nearest ten thousand.\nAnswer: -5260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -10770604?\nAnswer: -10770601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 1076*t + 54839. Give i(-47).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.175751687 rounded to 4 decimal places?\nAnswer: 3.1758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196396053 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372202 (base 8) in base 9?\nAnswer: 214676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15960 + -161b?\nAnswer: -16f7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 908.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52468999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4365 and 155235?\nAnswer: 159600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 3283.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 f, and 2 h when four letters picked without replacement from {h: 2, w: 1, z: 2, f: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49987 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15904635 by 555.\nAnswer: 28657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + 0*n)*(-7*n + 15*n + 14*n).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, k: 1}. What is prob of sequence kk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 446635 (base 8) to base 7\nAnswer: 1166030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.95 (b) -4 (c) 4 (d) -0.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 16 + 8. Let h = s - -9. Suppose 45 = h*g - 3*b, 4*g = -0*g - 3*b + 46. Solve -15 = -0*x + 3*x + 3*v, -3*x - v = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 4 - (9 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2257765 is divided by 1398.\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836654881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719721.\nAnswer: 1719721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 2 - 77720*v**3 - 2*v + 3*v + 22*v**4 + 3*v + 77729*v**3 to the form t*v**2 + m*v**4 + b*v + r + d*v**3 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503265, -502778, -502293, -501810, -501329, -500850?\nAnswer: -500373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1107 and 162?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5209*z + 18782 - 1827 = -113383 + 113 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 1)*(-31*l - 12*l + 10*l) + (-1 - 2 + 1)*(0 + 0 - l) + 3*l + 0*l - 2*l - l + 0*l + 0*l in the form v + j*l and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 + -189.3. Let n = 4.5 - 5. What is the second smallest value in -2, -3, m, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66443169787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25234, -25288, -25372, -25486, -25630?\n\"Answer: -15*c**2 - 9*c - 25210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k. Let o(m) = -2*m + 13. Let n be o(-8). Let y(s) = -3 + 18 - 10 + n*s - 5. Calculate y(x(p)).\nAnswer: -145*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:05 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 20*z**2 + 72*z - 1400. Calculate q(20).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/11480 and 11\/2999560?\nAnswer: 20996920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.18 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**5 + s**5 + 0*s**5)*(-2 - 3 + 4) + (-3*s**2 - 21 + 21)*(3 - 3 - s**3).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 40015200.\nAnswer: 680258400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2401)\/(-21) + (-2)\/(-3). Let h be (-4)\/6 + t\/195. Let x = 19\/78 + h. Sort x, 2, -0.2 in descending order.\nAnswer: 2, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a - 66?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8 - (-9 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-892)\/20070 + 52\/720.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from sgssgdssswsssdss.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 3. Let w be g(0). Suppose 10 = w*f - 5. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 85*u + 275. Let k(d) = 7*d + 23. Let o(n) = -25*k(n) + 2*z(n). Is 4 a factor of o(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/(-15))\/(12\/(-15)). Which is greater: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:03 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 0.42 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 159376967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 29 + o**3 - 30 - 2*o**3. Let i(n) = 6*n**3 + 2*n**2 + 1. Let b(d) = i(d) + v(d). What is the third derivative of b(m) wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyymyymv. What is prob of sequence yv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15080319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 28*m**2 + 62*m - 5. What is the units digit of x(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-60)*9*((-1225)\/14)\/35\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39648362 and 1992380.\nAnswer: 396483620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/4591 - 445453\/192822. Calculate the common denominator of a and (1\/22)\/((-7356)\/(-1464) - 5).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*f - 1150 = -255*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 6) to base 3.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in milliseconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.905 - 0.9. Let y = -0.024 - v. Round y to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 98. Let z be (-2 - 1)*(96\/x)\/(-4). Let 2\/5*d**2 + z + 8\/5*d = 0. Calculate d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2573, 9938, 22091, 39032, 60761, 87278, 118583?\nAnswer: 154676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -1 + -2 - ((sqrt(99) - sqrt(99)*-1 - sqrt(99))\/sqrt(9) - (1*sqrt(110))\/sqrt(10))) + (sqrt(4752) - -3*sqrt(4752))\/(6*sqrt(3)*-2).\nAnswer: -3 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10897, -21825, -32755, -43687?\n\"Answer: -u**2 - 10925*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*r = 18, -4*x + 4*r + 3 = x. Suppose -3*j + 5*k = -22, -j - 5*k + x + 11 = 0. Suppose -2*o - j = -3*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Suppose -4*p - t*k = -26 - 6, -5*p + 3*k = -18. What is the greatest common factor of 18 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 34.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - a**2 - 3*a**3 + 3*a**4 + 4*a**3 - 2*a**4 + 5*a**3 to the form w*a**2 + c + v*a + h*a**4 + t*a**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5, 2*n - 58 = -2*d + 64. Calculate the least common multiple of 4 and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcjqcjjhh. Give prob of sequence hc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.26 (b) 0.4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128171 or 128172?\nAnswer: 128172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*z + 41, 5*z - 32 = -r - 11. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, a: 4, m: 4, f: 9}. What is prob of sequence uum?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0.2 (b) -1 (c) -1\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 316.1580996 to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011101111011110100 + -101000?\nAnswer: 1001011101111011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:40 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + -2 + -4 + sqrt(288) + 3*sqrt(288) + (sqrt(288) + sqrt(288) + 2*sqrt(288))*-2)**2.\nAnswer: 576*sqrt(2) + 4644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnncnnnc. Give prob of sequence nnc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - 22. Let m be (-1 - 44) + -1 + -1. Let l = p - m. Calculate the greatest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7736.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3336\/1112)\/((-6)\/104).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 - -118.7. Let s = h + -0.1. Let v = 1.1 - 1. Which is the second smallest value? (a) 2\/3 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 222027741?\nAnswer: -222027734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - -0.03. What is the closest to 0 in -1\/8, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f + 18*f = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12580 and 877455?\nAnswer: 3509820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29148231 - d + 29148231 + 6*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 9*i - 7 = 4*i, -i = 1. Suppose 0*k - t*k = -72. Suppose -3*j - 92 = -2*z + j, -2*j + 162 = 3*z. Calculate the remainder when z is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -3*n + 2580. Let y be 4\/30 + n\/(-150). Differentiate -3*u**2 + 3*u**2 - 17*u**y + 24 - 9 wrt u.\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260134200 to the nearest one million.\nAnswer: 260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4123\/12 + 1081\/3. Let b be 357\/(-6)*(-62)\/(-4). Let k = b - -911. Find the common denominator of f and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*c - 76 = -5*n - 88*c, -8 = -3*n + 2*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111 and 326970.\nAnswer: 36293670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143 by -255781.\nAnswer: -143\/255781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l**(-6\/11)\/l))\/(l\/((l*l*l**(11\/2)\/l)\/l)))\/(l**8*l*l**(-27)*l))**3 assuming l is positive.\nAnswer: l**(1653\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10330.\nAnswer: 2, 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 128. Suppose -t = 4*f - 317. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 2*x - 3*x)*(13*x**3 - 13*x**3 - 40*x**3).\nAnswer: -80*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 9. Let q = -0.03 + -0.27. Sort 3\/8, p, q in ascending order.\nAnswer: p, q, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*-4*(-96)\/(-320)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 16*n - 17*n. Let y(k) = -k**2 + 7*k + 3. What is the remainder when y(6) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -243\/527993?\nAnswer: -243\/527993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(46 + -50 + 19\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -465 - -469. Find the first derivative of 4*t - 3*t + 2*t - 229 - 2*t**2 + n*t**2 + 2*t**2 wrt t.\nAnswer: 8*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -574\/594683?\nAnswer: -574\/594683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26462 (base 9) to base 12\nAnswer: a418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1201691, 2403382, 3605073, 4806764, 6008455?\n\"Answer: 1201691*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/24 - x**3\/6 + 3*x**2\/4 + 5*x. Factor l(w).\nAnswer: -(w - 1)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-9816)\/288 - -34)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13292889 - 0.1?\nAnswer: -13292889.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9561?\nAnswer: 3, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/(-27)*(-744)\/496?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-27)*f**(-1)*f)\/(f*f*f**(4\/17)\/f*f**(1\/16)\/f) assuming f is positive.\nAnswer: f**(-7425\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1763 = 5*a, -243*u + 1396 = -4*a - 239*u. Let t = -555 + 203. Which is bigger: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x - 1. Let l(c) = -c**2 + 9*c - 5. Calculate the remainder when l(7) is divided by n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(t**4 - 3*t**4 + 5*t**4 - 2*t**4 + 0*t**4 + 4*t**4 + (1 - 1 - 1)*(4*t - 4*t - 2*t**4) - 3*t**4 + t**4 + 3*t**4 - 18*t**4 + 22*t - 22*t).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/11*((-8)\/2)\/4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7003532cm to millimeters.\nAnswer: 7.003532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**6\/72 + 11*g**5\/24 - 3*g**3\/2 + g**2 - 25*g. Let n(j) be the second derivative of i(j). Factor n(u).\nAnswer: 5*u*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llmv when four letters picked without replacement from {t: 1, v: 4, m: 2, k: 5, l: 2}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5349976 or 5349967?\nAnswer: 5349976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12*t - 80. Let g be j(7). Suppose 7*b - 5*b - h = 843, g*h - 1704 = -4*b. What is the highest common factor of 47 and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*j = -16, -3*j - 17 = -3*c - 2*c. Put -2, -5, -1.3, c in descending order.\nAnswer: c, -1.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, c: 2, z: 1, g: 1, p: 1, w: 1}. Give prob of sequence wgrc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 199038032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187104*r**3*y**2 + 12*r**2 + 456*r*y**2 - 116*r*y + 4*r wrt r.\nAnswer: -1122624*r*y**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-24) + (-1501)\/(-3). Suppose 0 = -6*j + c + 465. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - (-9 + 6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2 + 4*y - 1. Let f(o) = 2*o**3 - 3*o**2 + 2*o - 3. Let m be f(2). Suppose -5*s - 11 = -x + 13, -x - 26 = m*s. Determine r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321904 + -211071. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 17*h**2 - 24*h + 326. Determine n(17).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((3 - 10) + -11 + 4) - 7 - 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7266170 to the nearest one hundred thousand.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 49 = 4*o - 2*o - 21, -32 = -4*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59940*x**5 + 2*x**2 + 707*x wrt x.\nAnswer: -3596400*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0499 (b) 1\/283 (c) 18\/19 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 2 - 2*s**4 - 2*s**2 + 2*s + 3*s**2 in the form r*s + o + t*s**2 + y*s**3 + m*s**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -y + 4 + 19, -3*g + 5*y + 109 = 0. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 63?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + d - 11 = 0, -3*o = -0*o + 5*d + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 702 - -5?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 8, n: 2, w: 5}. What is prob of sequence wn?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/6 - t**4\/8 + t**3\/3 + 3*t**2. Let c be l(2). Is 27 a factor of c\/(-10)*90\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/10 + l**4\/4 - l**2 - l. Let u be q(-2). What is the highest common factor of 182 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/((-195360)\/333))\/((-6)\/80).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 2)*6 - (5 + sqrt(5) + 3)**2 - ((sqrt(60)\/(5*sqrt(12)*3))**2 + -5))*-6.\nAnswer: 60*sqrt(5) + 4682\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2222 in 0.041, 1\/4, 2.1, 0.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2377677736 to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734020 divided by -5243.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1307931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -49.9. Let s = p - 13.9. Let y = s - -11.8. Which is the smallest value? (a) -2\/9 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/9 + 10928*s\/3 - 473602 = 0 for s.\nAnswer: -16521, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2 - 7*a + 17. Let w be v(6). Let s = w - 185. Let f(i) = i**2 - 5*i - 6. Determine f(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.67 + -40.67. Which is the second biggest value? (a) g (b) 1 (c) -2\/3 (d) -330\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -7*i + 2*i - 2*r + 71, -196 = 2*i + 23*i + r - 4*r for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:24 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -490 - -827. Suppose 13*t - u = -77. Factor 3*s**2 - 2*s**2 - 20 - 6*s**2 - t*s.\nAnswer: -5*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 682*d**2 + 2*d + 57. Calculate y(0).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.1 (c) -0.12 (d) -14 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - (-2 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 1. Suppose -5*b + b + 296 = 4*x, -4*b - 328 = -4*x. Let i = -68 + x. Let j(t) = -12*t + 10. Let u = 3 - 4. Give i*a(o) + u*j(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by -6.\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17386 = 3*r - 4*g, 2*r - 11588 = g + g. Let a be (r\/(-4))\/(154\/28). Let k = a + 263. Is -1 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 48 = 4*k, -5*w + 5*k - 19 = -69. Solve -3*a - 14 = -5*v, -5*a + 7 = 2*v - w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4410 and 12?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/5, -79 in decreasing order.\nAnswer: -3\/5, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 4b?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (38\/6)\/(10\/8). Let h = z + -26\/15. What is the common denominator of h and 3\/2*4\/(-13)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134.3 - 143. Let c = 9.3 + r. What is the nearest to 0.3 in -3, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15107.\nAnswer: 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23119 is divided by 857?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31 (b) 0.5 (c) -0.5 (d) 28\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 38, 4, 112, 2, -6, 3.\nAnswer: -6, -3, 2, 3, 4, 38, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t - 200*h + 206*h - 66, t - 17*h = -89 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111 - 101111110110000?\nAnswer: -101111100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 7*c - 85 = 0. Let v(t) = -c*t**2 - t**2 + 28*t**2 + t. What is v(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**13)\/f*f**(2\/19) assuming f is positive.\nAnswer: f**(-245\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 791, 792, 793?\n\"Answer: f + 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56479, -56487, -56491, -56491?\n\"Answer: 2*u**2 - 14*u - 56467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36925.8*-35\nAnswer: 1292403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:58 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/7, 5, 1, 0.4 in increasing order.\nAnswer: -2, -4\/7, 0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -525 - -530. Solve t - 6*k = -k + 7, l*k = -2*t - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/10)*n\/n**1)\/(n**(-4)\/(n*n**(-1\/5))) assuming n is positive.\nAnswer: n**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/24 and 67\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 52*i**2 + 98*i + 101. Let b be k(50). Let n(o) = -o. Let h(x) = -17*x. Calculate b*h(r) - 4*n(r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*v - 133 = 441 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*3\/(-234))\/((-2)\/8*-2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = -11*n + 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -51. Suppose b = -4*n - 16. Is (-2)\/(n\/((-13190)\/(-4))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0164 (b) 1 (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, g: 1, r: 2, t: 4, k: 1, i: 1}. What is prob of sequence tgir?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**9\/(b**20\/b)*b**(-31)\/(b\/(b*(b\/(b*((b**20*b)\/b)\/b)*b*b)\/b*b)) assuming b is positive.\nAnswer: b**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*o + 108*o + 20*o + 41*o**5 - 2*o**4 + 23*o wrt o?\nAnswer: 820*o**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Let s(o) = -148302*o. Let r(v) = 433*v. Let m be ((-2)\/4)\/(1\/6) + -2. Let f(x) = m*s(x) - 1712*r(x). What is f(i(t))?\nAnswer: 214*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 170, 220, 294, 398?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*n + 30*n + 30*n = -2497912. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1909*b = 1896*b + 371 - 72 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 80\/21 - (-3)\/(-21) - 5. What is the closest to -1\/7 in -5, 0.3, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/120 + n**5\/20 - n**4\/8 - 3*n**3 - 570*n**2 - 5*n. Let z(u) = -2*u**2 + 2*u + 17. Calculate 2*f(d) + 3*z(d).\nAnswer: 2*d**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*p**4 - 172619*p**3 + 2*p - 1499864.\nAnswer: -1152*p**2 - 1035714*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -32. Suppose 4*u + 2*q + 18 = 12, 0 = 2*u + 3*q + 9. Let p(b) = -2*b**2 - 2*b + 16. What is the lowest common multiple of v and p(u)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -749470*f*w**3 - 2*f*w**2 + 2*w**2 - 250 wrt w.\nAnswer: -4496820*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 9. Calculate the smallest common multiple of 22 - 1 - (-1 - 0) and a(5).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.738 and -269045.\nAnswer: -198555.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -3*d**5\/40 - 21*d**4\/4 + 87*d**3\/4 - 33*d**2 - 1381*d. Let m(b) = 0. What is b?\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 503\/36 - 55\/4. What is the closest to b in -2, 2\/9, -1\/10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 367, 257 in ascending order.\nAnswer: -3, 257, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51 and -0.561.\nAnswer: 28.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + a + 9, 0 = 2*r - 4*a - 62. Let k = r - 5. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2816 + 2820 = g + 3*c, 0 = -3*g + 5*c - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207768 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. Let f = 515 + -484. What is the tens digit of f - ((-3 - 4) + k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00241682 rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2379)\/702 - (-580)\/174.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggntgotngo. What is prob of sequence otno?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 102? (a) 1 (b) 2 (c) -1\/5 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, r: 1, a: 1}. What is prob of picking 2 i?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.99648 and 28.\nAnswer: 29.99648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36009 and 23481.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x - 35. Let y(n) = n**2 - 10*n + 7. Let l be y(x). Let w = l - -21. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -3 - 3) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y + 578 + 358 - 729 to r*y + d and give d.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(35\/(11200\/680))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104*18330\/(-14196) - 4\/14.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7378*u + 228 = -7321*u. Let j(a) = 2*a + a**2 - 6 - 4*a + 0*a**2. Let k be j(u). What is the biggest value in 3, 5\/9, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + l)*(0*l**2 + 2*l**2 + l**2) - 2 + 2*l**3 + 803*l**2 + 4 - 815*l**2 to the form q*l**3 + h*l**2 + u + i*l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8422\/13 or 648?\nAnswer: 8422\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, -2\/531?\nAnswer: -2\/531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6448627 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 - 224 - (17 + -1 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 3156 - 8623 = 0. Let u = s + -245. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 15000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoqeqoexexeqxhoexe. What is prob of sequence qx?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-4)\/(-69)*69\/322.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*r**3 + 16*r**2 - 25*r**2 + 10*r**2 - 1443*r**3.\nAnswer: -1810*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 + -174.678. Let z = -0.078 - l. Is z less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/5))\/((p*p*p\/p**17*p)\/p)*(p\/((p*p\/(p*p**(-12)))\/p))**(-25))**40 assuming p is positive.\nAnswer: p**11592","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 1\/2 (c) -19\/502\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*w - 2340. Let p be w\/(-117) - 2\/27*-3. What is the common denominator of -43\/6 and (-652)\/(-80) - (5 + p)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197*o**2*r**2*y**3 - 24*o**2*r**2*y**2 + 2*o**2*r**2*y - 8*o*r**2*y**3 + 6*o*y - 11*r**2*y**2 wrt y.\nAnswer: -1182*o**2*r**2 - 48*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5119672 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 55. Let u = -265 - g. Let c = 249.202 + u. Round c to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36751.6 minus 355700935?\nAnswer: -355737686.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 41. Suppose -1065 = y*q - 8*q. Let p = 340 + q. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -363*o**2 - 55. Let i(y) = -22316*y + 4 + 22316*y + 26*y**2. Determine -55*i(w) - 4*k(w).\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 - 30 - 229)*(-2 + k - 16*k + k) to the form d + o*k and give d.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -386*c + 30462. Determine u(84).\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9578140 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*q - 51 = -222*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-1\/24)\/t)*t**5)\/(t**0)**(2\/177) assuming t is positive.\nAnswer: t**(169\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21252 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887017541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152104 (base 7) to base 9.\nAnswer: -44474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*h + 99 = 115, -18 = -3*r - 3*h. Which is smaller: -16 or r?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77927*f**3 - 5*f - 127*f**2 + 5*f + 127*f**2.\nAnswer: 77927*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*x - 95 = 0, -u - 5*x + 31 = -4. What is the highest common divisor of 1215 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5581 - -5581. Sort 1, v, -86, -5 in increasing order.\nAnswer: -86, -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*c + 2 = 0, 5*c - 19 = -2*d - 5. Let v be ((-15)\/6)\/((d + -5)\/6). Let s(p) = -5*p + 5. Let w(x) = -5*x + 4. Give v*w(i) - 4*s(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*l + 16 = -186*l. Let y(k) = 2*k**3 - 3*k**2 + 14*k - 13. Let a be y(l). Factor a + 22\/5*z**2 - 2\/5*z**3 - 4*z.\nAnswer: -2*z*(z - 10)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*o - 180 = -82*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2. Suppose 2*j - 5*d + 1 = -0*d, -j + 2*d = 0. Let q(m) be the first derivative of -5\/2*m**j + 2 + 0*m. Calculate i(q(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 602 - 257*p**2 + 590 - 1192 - 3*p + 5662*p**2 in the form q*p**2 + k*p + a and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030213855 rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0. Let v = 979 + -983. What is the third smallest value in h, -0.03, v, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.923 - -0.023. Let t = g + 3. Let d = 1.98 + 0.02. Sort d, -3, t.\nAnswer: -3, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 16*f + 3. Let x be a(7). Let g be (24\/18)\/(((-40)\/(-348))\/(-5)). Let p = x + g. What is the greatest common factor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + (-3)\/2. Let c = 3 + q. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h. Suppose h = -3*m + j + 85, -3*m - 3*j + 67 = -2. Let f = 42 - m. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5945\/126 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*s - 0*b + 33434 - 33698, 3*s + 3*b - 204 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (184\/(-14))\/(-4) + 34\/(-119). Let b(f) = f**3 + 5*f**2 - 6*f + 2. Let a be b(-6). Let w(s) = s**2 - 3*s**a + 5*s + s**2. Determine w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 1, g: 4, p: 3, j: 1}. What is prob of sequence gpp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2662*s**4 - 2661*s**4 + 5325*s**4 - 4*s + s**2 - s**3 to the form d + b*s**3 + a*s**4 + y*s**2 + m*s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-5))\/z)\/((z**(-2\/11)\/z)\/z))**(1\/12) assuming z is positive.\nAnswer: z**(79\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 41 = -p - 2*p, -3*b + 4*p = -29. Suppose -4*s = 2*c - 16, -b = c - 5*c - 3*s. Let g = c - -3. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1655*x - 2235. What is the ten thousands digit of a(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546 = 11*h + 62. What is the least common multiple of h and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -20484.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.09 (b) -1\/4 (c) 11708 (d) 0.3 (e) 1\/3 (f) 2\/5 (g) -3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26818 and 1012.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 - 10*x - 3. Let z be f(-6). Let n be z*(-1 + (-5)\/(-3)). Suppose -2*k + 8 = -h + n, 10 = -2*k. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -11. Suppose -n*y = -y. Suppose v = -3*j + 35, y = -j + 7*v - 3*v + 29. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.091, 4, 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 6?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Let g = -3 - -3\/2. What is the closest to g in 1\/5, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -0.06, 1079192?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*82700.\nAnswer: -8270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 487654.\nAnswer: 1462962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 92*c**3 + c**2 + 3*c + 4. What is g(2)?\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:47 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 + i)*(-2 - 1 + 4) + 41 - 4*i - 41)*(-3 + 37 + 5 + 53) as h + q*i and give q.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -6318a4?\nAnswer: -6318a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6*4\/(-24))\/(13\/(3978\/(-17)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132966 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**3 - 444*g**2 + 88*g - 105. What is k(-89)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + d - 2 = 3*d - 5, 5 = 5*d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371564?\nAnswer: 2, 19, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006303 rounded to four dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 20*m**2. Let w(j) = 5*j**2 + 374 - 374. What is w(g(i))?\nAnswer: 2000*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 144663 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2. Let g(x) be the second derivative of 11*x**4\/12 - x**3\/6 - 3555*x. What is y(g(m))?\nAnswer: 605*m**4 - 110*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 - 79552*s - 8055154 = 0. What is s?\nAnswer: -101, 39877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -2\/3*d**3 + 0*d**2 - 7*d - 4 - 1\/15*d**4. Find h such that o(h) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1396822 and -101\/199546.\nAnswer: 1396822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -54, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-14) - 312\/(-91). Let i be ((-45)\/(-30))\/(g\/(-8)). Does 7 divide (i + 4)\/1 - -20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/4 + 649*x\/4 + 2067 = 0 for x.\nAnswer: -636, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 468 = 3*a. Let l be a\/(-12)*2*1. Let q = 50 + l. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbbg when four letters picked without replacement from {t: 7, g: 2, b: 8, n: 3}.\nAnswer: 98\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 796677.4 to the nearest one thousand.\nAnswer: 797000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-6))\/(9\/12). Suppose h*t + 5 - 23 = 0. Suppose -3 = 3*z - t. Solve 0 = -z*q + 2 + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -66*o. What is the hundreds digit of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgolnorlrghnrohg. What is prob of sequence lrg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3296*c - 3217*c + 1659 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 8*c - 10. Let p be l(7). Is (5*53)\/(4 + p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180767038 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*152\/209)\/((-19)\/133).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*9 - 17\/(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/18)\/((-5)\/(-4)). Let d = 4057.2 + -4057. Which is the closest to -0.2? (a) 4 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3114\/346 + 3*2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8826 = 3031*g - 7828 + 6804 + 7353 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1058294 and 8472?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 12*w - 25. Let v be b(7). Solve 0 = -4*l - 5*q + 2 - 20, v = -l - 4*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -683817 or -683820?\nAnswer: -683820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27848 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4)*6 + sqrt(2) + (sqrt(200)*2 - sqrt(2))**2.\nAnswer: 7*sqrt(2) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 6*y**3 + 113*y - 1 - 3*y**4 - 113*y + 1 - 3*y**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 + 2*v**2 + 2*v + 8130*v**4 - 8084*v**4 in the form d + f*v**3 + p*v + r*v**4 + z*v**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -177*f - 46532. Determine w(-262).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 13. Let m(a) = 2*a - 8. What is m(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 10*c**2 - 30*c - 5*c**2 + 30*c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -25063523?\nAnswer: -25063525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 2*r. Let g be b(-2). Suppose 0 = -3*s + s - l, g = -l. Suppose -a = 3*k - 5, 0 = -4*k + 4 - s. Solve -2 = -a*z + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (682\/(-88))\/(-31) + (-183)\/(-36). Suppose 0*v + 0 + 32\/3*v**2 - 8\/3*v**4 - s*v**3 + 4\/3*v**5 = 0. Calculate v.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 7*b - 8. Let w be n(6). Let u = -0.3 + -0.2. Let q = 49 - 50. What is the nearest to q in u, w, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b**3 + 10*b**2 + 272*b + 12. Let d be y(-10). Calculate the highest common factor of 56 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 58*z**2 + 90*z - 1805. Give s(-60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 13 = 3*n - 6*n, 4*n - 2*l - 8 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 120*y + 90193. What is w(-136)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 495*k**3 + 313*k**2 - k.\nAnswer: 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*f + 4 - 2 + (6*f + 0 + 0)*(1 + 4 - 3).\nAnswer: 14*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyrreeeerryr. What is prob of picking 1 r and 1 e?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from ryiyyyyyyirryyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10203 + 5?\nAnswer: -10176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 greater than or equal to -3745\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 235968329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**32\/c**(-2))\/(c**19\/c*c)**(6\/17) assuming c is positive.\nAnswer: c**(464\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 9. What is the units digit of 22\/3*3\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 3*s + 140. Let k = -10 + s. Calculate the lowest common multiple of 3432\/288 - 1\/(-12) and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 7*r + 2. Let b be l(7). Suppose 3*j = -b*j + 10. What is the third derivative of 3*f**6 + f**j + 2*f**2 - f**2 wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -1464\/13 (c) -4 (d) 2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -238?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -25. Let r(u) be the third derivative of -u**6\/40 - u**5\/6 - u**4\/4 - 5*u**3\/6 - 4*u**2. What is the remainder when r(-4) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 17*b**2 - b + 21. Let j = 1 - -9. Calculate the smallest common multiple of j and w(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:29 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssrr when four letters picked without replacement from srasarrar.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*(-308)\/(-66)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/14 - 1270\/(-1778)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-326)\/1467 - (290\/60)\/(3\/(-38))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78382 or 78383?\nAnswer: 78383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 312332369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*c + 43325 = -966*c - 75775 for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 4*r + 430, q + 2413 = -5*r + 1865 for r.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/4))\/w)\/(w\/(w\/w**9))*w*(w\/(w*w**(1\/12)*w))\/w*w*w**(-2\/11)*w)**41 assuming w is positive.\nAnswer: w**(-21689\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1421*j - 52498 + 575 - 63178 for j.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*l + 1, -5*o + 3*o - 4 = 5*l. Suppose -o*y = -y. Suppose y = -4*w - 588 + 1544. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.94 + 0.06. Let g = o - 3. Which is the smallest value? (a) -1 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r - 1. Suppose -v + 40 = -54. Let h = v - 102. Let b(a) = 11*a + 2. Determine h*y(i) - 3*b(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/120 - b**5\/12 - b**4\/3 + 2*b**3\/3 + 8*b**2. Calculate the remainder when u(7) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 13*k**2 + 22*k**5 - 19*k**2 - 10*k**3 - 20*k**5 - 2*k**4 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 60345, 120693, 181041, 241389, 301737, 362085?\n\"Answer: 60348*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -9. Let u be (-14)\/s - 4\/(-16). Find the second derivative of -4*m - 5*m**2 + 3*m**2 + u*m wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6 = -2*j. Let v(g) = -537*g + 62. Is v(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -151. Let v = 105 - g. Calculate the greatest common divisor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1142 - 233?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -14. Let v(a) = -a**3 - 16*a**2 + 12*a - 40. What is the remainder when v(-17) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(2)) + 4.\nAnswer: 6*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/6)\/s*s)**19*(s\/(s**(2\/7)\/s))**3)**18 assuming s is positive.\nAnswer: s**(249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 380862.81 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 216 = -4*g + 7*l, -3*g = 15*l + l - 528 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -113. Let g be (-97)\/(-4) - (-2)\/(-8). Let o = g + h. Calculate the greatest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 5*r**2 - 5*r - 16. Let q be b(-5). Solve 6*o - 3*o + q = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + 12. Suppose w*k - 72 = -t, -5*k - 5*t = -2*k - 71. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 2. Let d = 286466\/7 + -40924. Which is the nearest to d? (a) 1 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*(sqrt(832) - (sqrt(832) + (sqrt(832) - sqrt(832)*-2 - sqrt(832)))*1)*1 + 5) + -3 + -5)**2.\nAnswer: -5280*sqrt(13) + 84289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*f**5 + f**3 - f**3 + 112*f**2 - 124*f**2 wrt f?\nAnswer: -1440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(((-1*sqrt(114) - sqrt(114))*-5 + sqrt(114) - sqrt(114))\/(sqrt(192)\/sqrt(8)) - (-2 + sqrt(228)\/(sqrt(240)\/sqrt(5)))))**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10424 divided by -8?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -1\/10*v**5 + 11\/15*v**4 + 0 - 5*v + 8\/5*v**2 - 28\/15*v**3. Factor g(c).\nAnswer: -2*(c - 2)**2*(5*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -348 - -146. Let g = 2 - t. Are g and 203 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2898 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**5\/20 + g**2 - 3*g. Differentiate v(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742660 is divided by 894.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.65346926158 + 7.\nAnswer: 6.34653073842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xicixcxcjrrx. Give prob of sequence cjxc.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:18 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2, 0 = -w - 5*p + 8 + 5. Calculate the highest common divisor of w and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 224 = 661. Suppose -2*o + 40 = 3*y, -32 - z = -5*o - 3*y. Suppose -40 = o*x - 16*x. Which is bigger: x or -41?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a millennium in months?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaaa when four letters picked without replacement from aoaarror?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7578 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -67 (b) -2 (c) 2 (d) 1\/6 (e) 1 (f) -0.015837 (g) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 12*r**4 + 716*r**3 - 288*r**2 - 2864*r + 960 = 0?\nAnswer: -60, -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2 + 228*h - 108*h - 111*h. What is u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*r + 88, -3807*m = -r - 1904*m - 1899*m - 44 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 156*k - 159*k. What is the greatest common factor of 688 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -12. Let v be (2\/4)\/((-7)\/28). Let z be (v\/(-1) + -1)*(0 + 6). Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 4*x - 33. Let q(l) = -4*l**2 + 9*l - 65. Let s(v) = -5*k(v) + 2*q(v). List the prime factors of s(-16).\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1311)\/38*80\/360. Which is the second smallest value? (a) n (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 200, 335, 486, 647?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*q + 107 + 55 = -3*i, 2024*q - 2023*q = 4*i + 93 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a. Let o(f) be the third derivative of f**5\/30 - 115*f**4\/12 - 2*f**2 + 76. Calculate d(o(w)).\nAnswer: 4*w**2 - 460*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, -0.01, 395, 7.8?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-1 - (4 + -56)\/(-4). Let o be x\/(-6) - (-1)\/(-3). Suppose u + 3*a = -o*u + 27, -5*u + a + 21 = 0. Which is greater: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*i + 85. Is 1*-5*i\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2129330591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/6)\/(1 + 7\/(-6)). Sort -4, 1\/10, 1, j.\nAnswer: -4, 1\/10, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 121 - 119 - 3*f**2 - 4*f**5 + 2*f**2 + f**5 + 0*f**5 - 5*f**5 + (0 - 3*f**2 + 0)*(2*f**3 + 0*f + 0*f).\nAnswer: -14*f**5 - f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2. Let f(h) = h**2 + 16*h + 24. Let j(p) = -f(p) - 2*m(p). What is the least common multiple of j(18) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/60837, -1, 0, -3\/4, 1\/2 in decreasing order.\nAnswer: 1\/2, 0, -2\/60837, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 8, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 31 = 2*u + 93, 3*q - 14 = -5*u. Let t(n) be the first derivative of 0*n**4 - q + 1\/12*n**6 + 0*n + 1\/5*n**5 - 1\/4*n**2 - 1\/3*n**3. Factor t(g).\nAnswer: g*(g - 1)*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1168\/876)\/((-28)\/546)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -170*i + 112*i - 283*i + 30405 + 2331 for i.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 266 = -5*c. Let r = c + -26. Suppose -20 = -2*p - 4*h, -2*h - 3*h + r = 4*p. Solve -6*s - 5 = -4*s - d, d = -p*s - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136431 and 2282?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q + 19*q - 12*q + 2*q - 652*q**3 + q.\nAnswer: -652*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9347821 + -3?\nAnswer: -9347824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90.7989663 + -90.8. Round b to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352963.\nAnswer: 13, 19, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**6\/60 + 3*m**5\/10 - 9*m**4\/4 + 9*m**3 - 3*m**2\/2 - 9. Let p(b) be the second derivative of n(b). Factor p(v).\nAnswer: -2*(v - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {u: 5, v: 4, y: 10}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 7*h - 2. Suppose -o + 4*i = -2*o - 14, 4*o + 2*i = 0. Let c(f) = 2*f**2 - 2*f. Let q be c(o). Is 10 a factor of r(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*x + 216 = 3*x, k + 62 = -4*x. Let p = k - -103. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -11, 0.3, 1\/4, 49?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5) - ((sqrt(125)*6 - sqrt(5)) + sqrt(5)))**2 + -4.\nAnswer: 4198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -10 (c) 0.5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4102)\/10255*915\/6?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78827431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 57. What is x(18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21659859?\nAnswer: 3, 13, 23, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 179*w + 24. Let v be m(3). Let g = v - 337. 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 -1 divided by -2395819?\nAnswer: 1\/2395819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/1*(129 + -321 - 15)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 167 - 167. Let t(f) = 25*f + 10. Let m(h) = -8*h - 3. Let k(j) = 10*m(j) + 3*t(j). Calculate o(k(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 690 (b) -0.2 (c) 0.6 (d) 0.1 (e) -4 (f) -6 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 - 7) - -22?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3049377 by -3.\nAnswer: -1016459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 840, 839, 838, 837, 836, 835?\n\"Answer: -y + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62334354 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*l + 1015 = 85, -3*l = -3*o - 699. Let b = 297 + o. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 5*v**2 - 4*v - 17. Let q be d(-5). Suppose 3224 + 5713 = q*r. Suppose -2*h + 11*h = r. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 10 - 5*u - 5*u**3 + 4*u - 88*u**2 + 87*u**2 to n*u + j*u**3 + o*u**2 + s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665533.789 rounded to the nearest one thousand?\nAnswer: 2666000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.014249 rounded to the nearest 10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and 5680 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*3 + 5 - 2*((sqrt(171) - (sqrt(171) + -3)) + sqrt(171)))**2 + -5 + 0)*-2.\nAnswer: -334 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/105)\/(1\/(-5)))\/10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*k + 15, -2*a = -5*k - 16 + 55. Let l = a + 15. Suppose -l = -w, 320 + 26 = d + 5*w. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28914 is divided by 7213.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14597795341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.57438 meters in nanometers?\nAnswer: 52574380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5759 - 4*d - 13*d + 5768 - 17270 - 2*d**3 + 5743.\nAnswer: -2*d**3 - 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -8 - ((-5)\/(-1) + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373273?\nAnswer: 373273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*((-154)\/40)\/(-11)*-2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 11:35 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6832153 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214575 + 17425 = 4*a. Round a to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1019 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, 168, 3 in ascending order.\nAnswer: 3, 168, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2*c*c**8*c*(c**(1\/4))**18*(c**1)**(2\/29)\/(c*c**(-1)*c*c*c**(3\/2)*c) assuming c is positive.\nAnswer: c**(350\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*l + 101*l - 58 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(200)*-5)\/(sqrt(10)\/sqrt(2)*4 + sqrt(5)))\/((2*sqrt(2592))\/(sqrt(196)*-2)).\nAnswer: -7*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from xttj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let n(w) = 584*w**3 + 32*w**2. Calculate n(x) - 32*y(x).\nAnswer: 584*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16 - (8\/(-4) + 1). Let q = -12 - o. Solve 2*u + u = q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8\/(76\/(-646) + (-232)\/(-1394))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7625668781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*g - 0*v + 2*v, -5*g = -v - 32. Let n(i) = -87*i + g + 83*i - 6. Let t(h) = 15*h. Give t(n(d)).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 8 = -r. Suppose 5*k = 2*u - 3*u + 29, -3*k = -r. Solve -m = -d - 1 - 0, -d - 16 = u*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26232221\/1820 - -57653\/4. What is the common denominator of o and 31\/56?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*k - 3*d + 54, 4*d = -k + 18. Suppose 0 = -0*m + 2*m + 4*h - k, -54 = -4*m + h. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let d = -1959\/2 - -957. Let u = -179\/8 - d. Sort 0.1, -0.2, u, x in increasing order.\nAnswer: -0.2, 0.1, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 12. Let b be a(-10). Let c be b\/1*1 + 8. Suppose 4*t = 6*t - c. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (67691 - -131)*(-28)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r + 35. Determine t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 4*q + 1. Let k be m(2). Suppose 2*a + 12 = 3*u - 31, 4*a = k*u - 73. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-51)\/(-272)*8\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.006 - 20.994. Let i = 12 + h. Let a = -8.9999982 - i. Round a to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k - 22. Let u(j) = -3*j. Calculate u(d(h)).\nAnswer: -24*h + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 68 = -5*n. Let p = n + 52. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from yyyryyyyyryrryryyry.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 18 - 83*p - 14 + (0 + 3 - 2)*(-71*p - 3469 + 3469) in the form s + i*p and give i.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 3\/((-168)\/98276). Let v = j - -1756. What is the common denominator of -41\/4 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63984\/(-1007748)*-3*(-2)\/(-8)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 5, -32 in increasing order.\nAnswer: -32, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.68 and -4.\nAnswer: -22.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 797 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8499?\nAnswer: 3, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010 (base 2) in base 6?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 162.666, 2\/7, -3\/4, -1\/4?\nAnswer: 162.666","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -95, -160, -243, -350, -487, -660?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 353538*m**2 + 15622755798*m + 78122617690.\nAnswer: 2*(m - 88387)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 10. Suppose 8*j = 2*j + 6. Suppose 0 = -3*a + y - j + 93, 4*a - 121 = y. Suppose -36*p + a*p = -35. Calculate t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39833, -79649, -119465, -159281?\n\"Answer: -39816*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11727.00814 from -0.1.\nAnswer: 11726.90814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*a = -8838 + 18562 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155041838 smaller than 1155041838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 24*b**2 + 21*b + 38. Determine g(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 8. What is the remainder when 917\/14 - (-3)\/(-2) is divided by 6\/(r\/(-4))*11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-8\/3))\/t)\/(t**11*t))\/(t**(-3\/2)\/((((t**(-2\/21)\/t)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-725\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8*o + 4*o = -2934, -w + 4*o + 1437 = 0. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*p + 120 = 39*p. Let f(v) = 3*v - 39. Let a be f(13). Sort p, -4, 4, a.\nAnswer: p, -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*o**3 + 1103*o**3 - 604*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 90 = 19*g. Let p be 448\/(-72) + 4\/g. Let f be (-4)\/(-8)*p - -10203. Round f to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 532550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/3 + 5*d**3\/2 - 456*d**2 + 1. What is q(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1725*s - 858*s - 866*s - 14.\nAnswer: s - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -17. Suppose 32*i + 24 = 36*i. Let h = n + i. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 2*c - 3*c + (-1 - 2 + 1)*(-5*c + 4*c + 3*c) + (1 + 0 + 2)*(-29 - 8*c + 29) as s*c + n and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -434862399*p + 636320116 wrt p.\nAnswer: -434862399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 0.3 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14262444169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -6. Suppose -2*v = -a - 7, -4*a = -0*v - 3*v + 3. Solve x*n - 5*m = -3*n + 11, a*n - 7 = 4*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1 + 1. Suppose 0 = s - 5*s + 5*v + x, 3*v = 3*s. Let i = 100.1 - 100. What is the closest to i in 1, -4, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 381, 450, 417, 276, 21, -354?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 120.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:41 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/27280001 and 87\/2?\nAnswer: 54560002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*a + 190 - 190 in the form o + v*a and give v.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.36? (a) 3 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (34 - (-13 - -99))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**8\/280 - 3*l**7\/350 + l**5\/100 + l**2\/2 + 3. Let k(c) be the second derivative of d(c). Factor k(s).\nAnswer: -3*s**2*(s + 1)**2*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 19*z**6\/60 - 7*z**5\/60 - 33*z**2. Find the third derivative of y(n) wrt n.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8616 rounded to two dps?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 2*m + 3. Let h be g(0). Suppose 4*w = -h*a - 0*w + 6500, -a + 2135 = -5*w. Round a to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/7 - 144*k**2\/7 + 1296*k\/7.\nAnswer: 4*k*(k - 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 4*h**3 - 5. Let q(n) = n**2. Determine r(q(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(12\/(-512)*4). Let r = a + 259. Let z be (3\/(-6))\/((-2)\/(-16)). Sort z, r, 5 in increasing order.\nAnswer: z, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/3 + ((-66)\/(-18))\/11. Put s, 0, -4, 1 in ascending order.\nAnswer: -4, 0, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + 3*n**2)*(-38 - 34 + 88).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 13472789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*h - 58*h + 17*h + 36*h to m + r*h and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38741855*n + 51849165.\nAnswer: 38741855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0366501 to four dps.\nAnswer: -0.0367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -1.38216\nAnswer: 9.67512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 2*o + 3. Suppose -2*r + u + 7 = 0, 3 + 4 = 4*r + 5*u. Determine c(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-5))\/10 - (-1 + 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9220 and 45178?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 11*a + 12. Suppose d - 4 = -4*t, -5*t = -2*d - 9 + 4. Suppose v + 2*j + t = 2, 2*v + 5*j = -2. Determine x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 divided by 2?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 11*g**2 + 8*g - 11. Let f be t(-10). Let d = f - -2. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1421*o**6\/30 + 3*o**5\/20 + 3*o**2 + 26*o - 10. Differentiate h(i) wrt i.\nAnswer: -5684*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w - 2. Give z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 + 15*t - 158*t**2 + 157*t**2 to v*t**2 + w + r*t and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(84) + -3*(sqrt(84) - sqrt(84)*-2))\/(sqrt(192)*4) + 0))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-55)*(-430)\/86.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2 - 6. Let q = -3.951 + -0.029. Let b = 0.02 - q. Put b, 1\/5, r in decreasing order.\nAnswer: b, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u + 21840 = -9*u. Let k = -600 - u. Which is smaller: k or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08264 times 2?\nAnswer: -0.16528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 4. Let x(m) = m + 8. Does 15 divide x(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -26557*g - 212292. Determine i(-8).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*b + 118*b - 252. Calculate the highest common divisor of 63 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2. Let t(j) = -12*j - 9*j + 350 + 38*j - 15*j. What is t(n(a))?\nAnswer: 4*a**2 + 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 19*q - 19. Let l be g(-18). Let v = l + 333. What is the lowest common multiple of 99 and v?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -7. Let b be -2 + 0 + (k - -39399995). Round b to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 16*u - 12*u. Let p(v) = 1. Let g(f) = f + 4. What is u*g(o) + 3*p(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:19 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167 - 87. Suppose -v = -7*s + 2*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1055 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.149 - -1.843. Which is bigger: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 30\/(-35))*(-238)\/4 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u - 8. Let y be d(-7). Let s = -52 + 222. Suppose -4*c = -6*c + s. Calculate the greatest common divisor of y and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/133 or 0?\nAnswer: -3\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 17.4. Let f = 9 + s. Round f to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -567, -346, -121, 108, 341, 578?\n\"Answer: 2*b**2 + 215*b - 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3285 + 3626. Let r be (-1)\/((-1)\/(31 + 0)). What is the greatest common divisor of r and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(15\/(-6)) + 6. Suppose -2*j - v = -8. Solve -5*r + 32 = -4*g, 0 = 2*g - g + j*r - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.1 in 1\/9, -3\/14, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-25)\/10)\/(2\/(-4)). Suppose 2*f + j = 81, 93 = -2*f + 4*f + h*j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/63)*i)\/i**(-1\/13))\/(i**11)**(7\/3) assuming i is positive.\nAnswer: i**(-20113\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 - -1.76. Let d = -0.16 + u. Put -0.5, -1, d in decreasing order.\nAnswer: d, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 35*u**2. Let r(d) = 12066*d. Calculate s(r(n)).\nAnswer: 5095592460*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1479*z + 2972*z - 282*z**2 - 1493*z.\nAnswer: -282*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -k + x - 1, -28 = -4*k + 4*x. Let m(v) be the first derivative of -k + v - 7\/6*v**2 + 2\/9*v**3. Suppose m(a) = 0. What is a?\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.6 - -18.6. Let n be 3\/9 + 75\/(-9). Let h be (-3)\/n*(-8)\/(3 - 5). What is the smallest value in l, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (7 - 13) + 4 + -2 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-6)*(-6)\/(-4). Let d(b) = -b**2 + 6*b + 4. Let g be d(6). Solve -10 - p = -g*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7879316 or -7879326?\nAnswer: -7879316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208)*-1 - sqrt(208) - sqrt(208)) + -5)**2 - sqrt(208)) + sqrt(208).\nAnswer: 120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*u - 94*u + 80 = 0. Calculate the least common multiple of 136 and u.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1853 divided by -6\nAnswer: 1853\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 92658.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74191506*g**2 + 14028540*g?\nAnswer: -148383012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 4*x - 17 = 9*h, 3*h - 3*x + 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 29. Is 18 a factor of 154\/(-6*z\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-175)*7*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 4*o - 12. Let n be g(6). Suppose k + 4*m - 55 = -n*k, 4*k - 285 = -3*m. Suppose 17*i + k = 22*i. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*(2*sqrt(108))\/sqrt(3))\/(-3*sqrt(24)\/sqrt(2)*5) + 1)**2.\nAnswer: -8*sqrt(3)\/5 + 691\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q**3 + 80*q**2 - 184*q - 160 = 0. Calculate q.\nAnswer: -2\/3, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1916\/(-16) + 3\/(-3*4). Let w = f - -190. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*p - 30, 0*p - 33 = -4*z + 5*p. Let n(q) = -q**2 + 4*q**2 - q**z. Let w(h) be the third derivative of -7*h**5\/20 + 99*h**2. Determine n(w(u)).\nAnswer: 882*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (93 + (-2 - -2) - (-799 + 812))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19670 divided by -91.\nAnswer: -2810\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 83754.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, -0.1, -2\/35, -3, -1\/2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1416387588 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 10 = -7*o. Find the second derivative of 2*w**5 - 5*w**o - w + 4*w**5 wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-4\/5)*k)*k**(-2\/45)*k*k**(-5)\/(k\/(k*k*k\/((k**5*k)\/k))*k) assuming k is positive.\nAnswer: k**(-326\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k. Let t(a) = -2*a + 17. Let f(q) = q - 9. Let r(n) = -13*f(n) - 6*t(n). Let m be r(13). Let i(v) = -2*v**2 + 4*v**2 + 0*v**m. Determine h(i(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + ((sqrt(1539) + sqrt(1539) + -2)*-3 - sqrt(1539)))**2*-4.\nAnswer: -301675 + 1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let i(o) = y + 7 - 6 - o. Give i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqwqwss. What is prob of sequence sqs?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 32 = 4*y - 5*y, -3*w = -2*y + 91. Let d = -11 - w. 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 t = 296 - 525. Let l = 228.7091839661 + 0.2908281339. Let n = l + t. What is n rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22999935 - -0.23. Round k to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 98c09 - c?\nAnswer: 98bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 6. Let f be z(-5). Let x = 17 - f. Suppose -3*p + 12 = 3*v - 6*p, 4*v + p - x = 0. Calculate the remainder when 18 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 759825 (base 10) to base 14\nAnswer: 15ac93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.158 + 0.384. Let b = -2.448 - l. Let g = -0.01 + b. What is the closest to -2 in -0.2, 2\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621, -586, -493, -342, -133, 134?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -15*m - 6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/65 and -13\/182515?\nAnswer: 2372695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 24. Let k be s(23). What is the highest common divisor of 225 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12822, -12896, -12964, -13026, -13082?\nAnswer: -13132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14052 + 14052 - 16158*v**2.\nAnswer: -16158*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18634699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2668 and 52693?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 7*i - 2. Let n(t) = t**2 - 8*t + 2. Let u(o) = -2*n(o) - 3*s(o). Let a be u(5). Let v = a + 5. What is the remainder when 25 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 19480 - 13853 = -4*x. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.35 (b) 1\/4 (c) 0.5 (d) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41969, 167885, 377745, 671549, 1049297, 1510989, 2056625?\nAnswer: 2686205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*s**4 - 14954280*s**3 + 7477125*s**2 - 934640*s.\nAnswer: 5*s*(s - 186928)*(4*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 89. Let g be f(-31). Let r = 29 + -260\/9. Sort 1, r, -0.02, g in descending order.\nAnswer: 1, r, -0.02, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 60*j + 402. What is the least common multiple of 6 and n(8)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4562, -8979, -13262, -17411, -21426, -25307?\n\"Answer: 67*j**2 - 4618*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 23. Let t be 2\/7 + 0 + 37\/(-7). Let g be (-4 - (1 - 4))*(0 - t). Is 31 a factor of j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128958707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 3*v - v - 11*v + 30 - 30 + v + 3*v - v + (4 - 2 + 0)*(4*v - 2*v + 0*v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**4 + 2*l**3 + 2*l**2 + l - 1. Let y(r) = -3*r**4 + 119*r**3 - 201*r**2 - 113*r + 208. Let x(j) = -2*i(j) + y(j). Let x(m) = 0. Calculate m.\nAnswer: -1, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 11 - 85. Calculate the greatest common factor of 32 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from bbbrbbbsbbbbbr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8470 is divided by 2733?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w - 16. Let f(r) be the second derivative of 0*r**4 + 0 + 0*r**2 + r - 1\/90*r**w - 1\/135*r**6 + 0*r**3. Let f(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 3900.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 3.7. Let j = -1.3 + 2.5. Let p = -1 + j. What is the nearest to 1\/3 in r, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l. Let s = 2 + l. Solve 2*m - 2 = s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -598419*-1\nAnswer: 598419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1677283, -1677285, -1677289, -1677295?\nAnswer: -1677303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-1) - 4 - -3. Suppose 12*f - v*f + 255 = 0. Solve 4*u + r = f - 1, 0 = 5*u - r - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/7)\/(j**(-11)*j)*((j\/j**2)\/j)**(-39))**(1\/36) assuming j is positive.\nAnswer: j**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3 - 128*t**2 + 538*t - 408 = 0?\nAnswer: -68, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 10*x + 0*x)*(-8 - 6 - 1)*(x - 2*x - 2*x).\nAnswer: -630*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**3*u + 3158*n**3 - 10*n**2*u - 5*n**2 - 23*n*u - 9*n - u - 76 wrt n?\nAnswer: 18*n*u + 18948*n - 20*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45*(-7)\/(-1470))\/(24\/28).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8177775937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 2*b - 4*b - 7*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -459 - -697. Let c = -236 + x. Factor 0*l + 0*l**3 + 1\/3*l**4 - 1\/3*l**c + 0.\nAnswer: l**2*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 64008?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1986120 and -39\/24520.\nAnswer: 1986120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 289185772*o**4 + 133854171 wrt o?\nAnswer: 1156743088*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**3 + 2*d**2 - 3*d - 7. Let n(w) = w**3 + 3*w**2 - 3*w - 37. Let c(l) = l**2 - l - 15. Let f(i) = -7*c(i) + 3*n(i). Give 5*f(v) - 4*o(v).\nAnswer: -v**3 + 2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3714 and 56561744?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 11*u**2 + 10*u - 11. What is c(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feeeeef. What is prob of sequence ffe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36329 + 619*k**2 - 9*k**3 + k**3 - 618*k**2 + 36329.\nAnswer: -8*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -15. Solve 0 = -3*b - k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2986?\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33210 (base 7) in base 9?\nAnswer: 12383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Let b be 40\/(-6)*12\/(-10). Suppose 0 = -2*m + b. Solve -5*n - 30 = -m*g - 0*n, -x*g = -n - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -128?\nAnswer: -2048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, 5, 1 in decreasing order.\nAnswer: 5, 1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryyyyyrrrrryry. Give prob of sequence yryy.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 277 - 279. Which is the nearest to 1? (a) n (b) 0.2 (c) -3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27666 and 1827.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5092297 + 0.40299908.\nAnswer: -5092296.59700092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/6*1785\/(-2975)*-2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8473791.\nAnswer: 3, 19, 148663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*l = 11*l - 61*l + 56*l - 12600 for l.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 1. Let o(l) = l**2 - 13*l + 15. Let m(g) = -6*o(g) + 78*q(g). What is the derivative of m(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 2*p**2 + p + 5. Suppose -g = -2*u - 26, 0 = -4*u - 2 - 6. Let s = g - 13. What is the remainder when s is divided by n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**4\/4 - m**2\/2 + 1. Let x(i) be the third derivative of i**6\/20 + 5*i**4\/24 + 225*i**2 - 7. What is 10*s(b) + 2*x(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*r + 30*r + 495166. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1295 + -1291. Solve 4*a - 17 = -1, -d*p = 3*a + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -805682 * 0.1\nAnswer: -80568.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11 - -43)\/(1 + 1) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 + 2*g**2\/3 - 2*g\/9 - 2\/3.\nAnswer: 2*(g - 1)*(g + 1)*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1746 in 8, 2\/21, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 - 3)) + -4 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1164384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -81c82?\nAnswer: 81c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3473 = 3497 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -p - 102. Is p a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7292593 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -116 + 107 + -1 + 1 + 0 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 8:57 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 6*l - 117. Let m = -170 - l. Let z = m + 53. Put 1, 5, z, -4 in increasing order.\nAnswer: -4, z, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212 (base 4) to base 14.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119485?\nAnswer: 5, 23, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -249, 3, -26, -3, -5, 9 in descending order.\nAnswer: 9, 5, 3, -3, -5, -26, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5462*t**2*z**2 + 2*t**2*z - 3*t**2 - 2*t*z**2 + 190865*t + 2*z**2 - 2 wrt t.\nAnswer: -10924*z**2 + 4*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 7*y - 3. Let q(w) = -w**2 - 6*w - 4. Let h(i) = 3*b(i) - 4*q(i). Determine h(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19719938 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 7) + 10 - 24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 11:42 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 3*z**2 + 0*z + 2*z. Suppose 0 = d + d + 4. Let k be (-1)\/2*-10 + d. Calculate m(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + 0 + 9 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2, 87819?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4 + 2553*k**3 - 655227*k**2 + 44763747*k + 45421530 = 0.\nAnswer: -1, 110, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068*j + 30380000 = -1058*j. Round j to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 8*t - 208. Let m be c(-15). Let x be (-83)\/(1\/1 - 0). Let n = m + x. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5204, -10426, -15648?\nAnswer: -20870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -139\/11? (a) 37 (b) -1\/11 (c) -0.3 (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 33*q**3 + 8*q**2 + 8. Let a(c) = 22*c**3 + 5*c**2 + 5. Determine -8*a(j) + 5*y(j).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -828\/2849 + 2\/407. Let y be (-1)\/(-4) + (-63)\/156. Let j = 0.33 + 0.17. Which is the second smallest value? (a) i (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 23*u - 162. Let j be a(8). Let b be -1 + (j\/(-110) - (-32)\/10). Let y(c) = 3*c - 6. Let s be y(3). Solve -l + b*l + h - 2 = 0, 0 = -s*h + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*d + 86*d + d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/80 and 83\/416.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a - 1. Calculate k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-2)\/(-6)). Let m = 0 - z. Suppose l + 5*u + 7 + 4 = 0, -u = -2*l. Sort 3, m, l.\nAnswer: l, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 497501 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -397*c - 400. Let g be o(-15). Suppose -39*z = -10318 - g. What are the prime factors of z?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14635264*t - 84751087?\nAnswer: -14635264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5 + 4*t**2 - 7 - 3*t**2 + 2*t. Let n be y(-5). Solve -n - 12 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 - 149. What is the hundreds digit of (-3227)\/(-6) + (y - 284\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 3*p**3 + (6*p**2 + 3*p**2 - 5*p**2)*(p + 0*p - 9*p).\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = 15. Suppose -121 = -5*c - 1. Solve 0 = -s*r - 4 + c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2411*k = 2492*k - 10935. What is the remainder when 3909 is divided by k?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -31, -56?\n\"Answer: -25*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110.942 - 166448494.\nAnswer: -166448383.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1302 + -314. Let z = k + -508. Calculate the highest common divisor of z and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -110776446?\nAnswer: 110776444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0318113 rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 291 divided by -1\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 129. Let r = f + 115. What is the highest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22072 + -22056. Sort -43, -3, o in descending order.\nAnswer: o, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 3*a)*(-33*a**2 - a**2 + 12*a**2)*(-10*a - 1851 + 1851).\nAnswer: 220*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*h + 10, 3*f + h - 3*h = -10. Suppose -3*l + 224 + 16 = f. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44378353*p*u**3 - 1942*p*u**2 - 1488*p*u wrt u?\nAnswer: 266270118*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955.8999 decades to centuries.\nAnswer: 95.58999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1470876 and 16?\nAnswer: 5883504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 + 322. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -429 + b + 822*b**5 - 601 + 1302 - 3*b - 591 wrt b?\nAnswer: 16440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/((-8)\/(-16)). Suppose -x + 0*x = -r. Let v be x - 4\/20*7. Do -1 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v - 57*v + 17*v + 20*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t - 18. Let s be f(-4). Suppose 5 + 5 = -s*j. Let h be (-20)\/(-33) + 2\/(-6). Is j greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1900) + sqrt(1900) + 3 - (-4*-3*sqrt(209))\/sqrt(11).\nAnswer: 3 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k\/(k\/k**(-5\/2)))\/k)\/k)\/k)\/k*k)\/k)**(-14)\/(k*k**4)**4 assuming k is positive.\nAnswer: k**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 0 - 10 - -12 - -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:05 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-6)\/o)\/o)**(2\/45)\/(o**(1\/6)\/o**(-3\/2)) assuming o is positive.\nAnswer: o**(-89\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6790*u + 27125. Calculate r(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.18 - 0.\nAnswer: -7.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12214 + 11853. Are -357 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/24 - 62\/(-12). Suppose -405 = -g*j + 200. What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3439 and -7.\nAnswer: -24073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130\/845 + (3699\/39 - -2). Calculate the highest common factor of u and 21146.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 8644*i**2\/3 + 17285*i\/3 - 8642\/3.\nAnswer: (i - 8642)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**4\/12 + 11*t**3\/3 - 107. Factor w(s).\nAnswer: s**2*(s + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 35 = 5*g, g + g - 6 = 0. Let l(x) = -3*x**3 - 3*x**2 + 5*x**3 - 4*x**3. Let z(k) = 4*k**3 + 7*k**2 - 1. Give h*l(v) - 2*z(v).\nAnswer: 2*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 25*r. Let f(y) = 5 - 5 - 33*y**2 + 32*y**2. Give o(f(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x**2 - 101*x**2 - 12*x**2)*(-3*x + 3*x + x) + (-4 - 1 + 2)*(x**3 - x**3 - x**3).\nAnswer: -127*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/((-2)\/32*-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-88) + (47310\/(-1992) - 48\/(-2))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*h**3 + 58*h**3 + 59*h**3 + 52*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**2 + 1. Suppose 2 = -2*s + 6. Suppose -4 = 2*x - y + 2*y, -4*x + 3*y = -s. Calculate i(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*o - 84*o - 112 = 0. Solve c = -o*c + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2208 and 4278.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99) - -1*sqrt(99)))\/sqrt(9) - 5*4*(sqrt(22)\/sqrt(2))**2.\nAnswer: -220 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 53. Suppose -25 = -8*v + 3*v. Suppose -v = k + n*y, -2*k - 7 - 3 = 2*y. Put 5, -1, k in decreasing order.\nAnswer: 5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 52*l**2 + 1076*l + 4627. Calculate s(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -641, -643, -645, -647, -649?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 429, 1.\nAnswer: 1, 9, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t = 223*t + 2926 - 910 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 - 12*c**2 + 7*c**2 - 7*c**2.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3923*a - 3923*a - 2*a**2. Let u(w) = -27*w**2. Calculate l(u(y)).\nAnswer: -1458*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051633 to 7 decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + f + 2. Let m be d(-2). Suppose -10*l + 3*l - 4*l**2 - m - l = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 340 + 6*r**2 + r**3 - 108*r + 25*r - 261 - 62*r - 229 = 0. Calculate r.\nAnswer: -15, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 480*m + 57556. Let y(q) = 8*q**2 + 960*q - 115090. Let b(s) = 10*h(s) + 4*y(s). Factor b(g).\nAnswer: 2*(g - 240)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-10)*(-39 + 33). Sort -225, r, 2 in increasing order.\nAnswer: -225, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24392 - 0.24391966566. What is r rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g + 3. Let n(c) = -10*c - 7. Let k(h) = h + 1. Let x(y) = 3*k(y) - n(y). Determine -7*a(u) + 2*x(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8832 and 1242.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-5)*((-1425)\/45)\/(-19). Put i, 0, -33, 1 in ascending order.\nAnswer: -33, i, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414 and 630.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1221552)\/15968*(-2)\/3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - 163059*m - 8. Let d(u) = -8*u**2. Calculate v(d(f)).\nAnswer: -192*f**4 + 1304472*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -26*x**3 + 8*x**2 - 8*x. Let t(p) = -9*p**3 + 3*p**2 - 3*p. Suppose 5*k - 14*k = -72. Give k*t(d) - 3*s(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1218.073621 - -0.4\nAnswer: 1218.473621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -22.5. Which is the second smallest value? (a) -4 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u**(3\/10))\/(u**(-1\/3))**(2\/155) assuming u is positive.\nAnswer: u**(-55\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + -4 + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.3 and 4?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -2348, -7933, -18808, -36737, -63484, -100813?\nAnswer: -150488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.26298453 and 0.\nAnswer: -0.26298453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*i = -20, 14 = -5*r - 0*r - 3*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2828355 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + 2*s**4 - 3*s**4 + (3*s**2 + 5*s**2 - 2*s**2)*(-156 - 100*s**2 + 156).\nAnswer: -601*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)\/((y**(-4\/3)\/y*y)\/y)*(y\/(y**5\/y))\/y*y**2 assuming y is positive.\nAnswer: y**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2. Let u(h) = -35*h. Let k = -3 - -3. Let r(c) = k - 3*c - 5 + 5. Let m(s) = -25*r(s) + 2*u(s). Calculate m(p(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2b8 (base 13) to base 8\nAnswer: -751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*s**3 - 15*s**3 - 58*s**3)*(7*s**2 - 21 + 21) - 3*s**5 + 5*s**5 - s**5 + (-s**3 + 0*s**3 + 3*s**3)*(0*s**2 + 2*s**2 - 3*s**2).\nAnswer: -750*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 1. Let p = 0.01 - -1.99. Let u = 17 + -52\/3. Put u, p, g in ascending order.\nAnswer: u, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*l + 406*l + 433*l + 71*l + 448*l + 411*l.\nAnswer: 1369*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525561 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 9:46 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*x - 3*x + k, -3*k = 15. Suppose g = 3*g + x*t - 26, -4*t + 29 = 3*g. Suppose g*a - 32 = 7*a. Is -7 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3235 (base 7) in base 13?\nAnswer: 6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6215300 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 4*n**2 + n**2 + (10*n + 13*n + n)*(3*n - n + 0*n)*(51 - 156 - 12).\nAnswer: -5617*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1050475618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*t + 43*t = 18011. Are 221\/7 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:21 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*53660.\nAnswer: 16098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhmjmjjxjjjjm. Give prob of sequence hm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 333542 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 875877 + -979230595\/1118. What is the common denominator of 65\/2 and p?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*z = 5 + 12, 0 = q - 3*z - 19. Suppose 100 = 3*c - 2*y, 0*y = y - q. Calculate the least common multiple of c and 14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 4) + (-7 - -14) + -1 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -757f4 + 21?\nAnswer: -757d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 + -122. Let h = p + 244. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -1 (b) 1\/2149 (c) -0.089\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 995.617mm?\nAnswer: 0.000995617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 325256 at least as big as 325072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:31 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2920\/1221 + 178\/111. Let f = -21701\/24 - -904. Calculate the common denominator of x and f.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/15 - 2\/5*d**2 - 2\/15*d.\nAnswer: -2*(d + 1)*(3*d - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {o: 2, a: 5, p: 4, s: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1731 - -1730.6. What is the closest to 1\/2 in q, -1\/6, -5, 13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102102 - 10101022122?\nAnswer: -10100220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/27))\/(l**7\/l))\/(l*l**12*((l\/(l**(-1)*l*l))\/l)\/l))**(-5\/17) assuming l is positive.\nAnswer: l**(2170\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -169*s**3 - 52*s + 52. Let r(n) = -10*n**3 - 3*n + 3. Calculate -3*d(k) + 52*r(k).\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 12*d - 2. Let p(f) = -5 + 224*f - 660*f + 7*f**2 + 218*f + 243*f. Calculate 5*l(j) - 2*p(j).\nAnswer: j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546 = 828*u - 831*u. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-29)\/(-31) + 1. Let s = -2848\/25 - -114. What is the second smallest value in s, h, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3986*j**3 - 1518*j + 682*j + 840*j in the form d*j**2 + k + y*j**3 + q*j and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1209*k - 164. Let n be i(-4). Round n to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 17. Let f(y) = y - 85. Give -11*d(u) - 2*f(u).\nAnswer: -2*u - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.4832mg in nanograms?\nAnswer: 859483200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40867.\nAnswer: 40867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102221 (base 3) to base 10.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38454 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, y: 4, r: 1}. What is prob of sequence yr?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 882 = 4*p, -9 - 3 = -4*p. Calculate the common denominator of 109\/18 and g\/24*(-14)\/(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 48*g + 361. Determine c(-38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 474186358 a multiple of 1828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-5) - 0)\/1. What is the hundreds digit of ((-927)\/27)\/(3\/(-9) - b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 239\/(-3) - (-17)\/(-714)*14?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220, -481, -776, -1099, -1444?\nAnswer: -1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110757 is divided by 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -68*3\/(-36) + (-1)\/(-3). What is the common denominator of 61\/40 and 4\/(-18) - (l - 7671\/1350)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:25 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1262096 and 12928.\nAnswer: 10096768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.31. Let k be 3 + -2 - (24\/(-9))\/(-2). Let i = 661.6 + -662. Sort k, i, c in descending order.\nAnswer: c, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -2 - (-12 + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38023 is divided by 719?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o + 46 - 118 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6966 - 6966. Let n = 29\/3 - 118\/15. What is the third smallest value in k, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/4? (a) 2 (b) -2 (c) -2\/3 (d) -0.096\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 15. Let l be w(12). Let b(n) = -n**2 - 4*n. Let r be b(l). Factor -2\/7*t**2 + 0 - 4\/7*t + 2\/7*t**r.\nAnswer: 2*t*(t - 2)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16028 + 16116. Solve 56*r - 78*r - k = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*r - 6 = 0, q + 7*r - 84 = 6*q - 10*q - 4*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038073 is divided by 11161.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = s - 3*s. Suppose 9*h - 75 = s*h. Suppose -5*m = -10*m + h. Solve -3*g - m = -3*l, -3*l = g + 5 - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552876363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 15. Let l be (-2 + 0)*(15\/(-6) - -1). Let a be v(l). Solve a*r - 4*r = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 184 - 184 + i as x*i + n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - y**2 + 1. Let q(u) = -5 - 6*u**2 + 8 - 8*u**4 - 21*u**3 - 2*u**4 + 8*u - 3*u**2. Let t(x) = -6*m(x) - 2*q(x). Factor t(p).\nAnswer: 4*(p + 1)**3*(5*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -3*p**4 - 385*p**3\/3 - 72*p**2 + 17*p - 6906. Find the second derivative of g(z) wrt z.\nAnswer: -72*z - 770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1627*j + 1616*j + 2*c - 303 + 52, 0 = 5*j + 4*c + 119 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -14881*w - 89347. What is a(-6)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, l: 3}. What is prob of picking 3 l and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -258 - -165. What is the tens digit of (-2)\/(6\/a) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -1\/2184*v**8 - 1250\/39*v**3 - 11\/78*v**6 + 0 + 125\/52*v**4 + 0*v + 20\/39*v**5 + 6\/455*v**7 + 28*v**2. Factor o(w).\nAnswer: -2*(w - 5)**4*(w + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/7 of a week?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11739*m**3*r + m**3 - m**2*r - 13*m**2 + r + 255 wrt m?\nAnswer: 70434*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -344447, -1376581, -3096809, -5505137, -8601571?\nAnswer: -12386117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.96 + -12.76. Round m to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:29 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 - 2498*h - 9907. Calculate c(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3494387?\nAnswer: 13, 389, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 15. Let s = u - -13. Suppose -s*y = -7*y. Solve -4*i + y - 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*9\/(-3) - (-7 + 1). Let a(u) = 2*u**2 - 7*u - 6. Let y be a(6). What is the highest common divisor of t and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49814 + -3069. What are the prime factors of p?\nAnswer: 5, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4318a (base 11) in base 2?\nAnswer: -1111010100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102022023223 (base 4) to base 7\nAnswer: 55314265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -661, -1329, -1999?\n\"Answer: -f**2 - 663*f + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22310002 (base 4) in base 12?\nAnswer: -2176a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38864021423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53068*s = x + 53070*s + 6, -s + 7 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -45. Suppose 0 = 5*t + 29 - 9, -2*t - f = -n. Let k(a) = a**3 + 6*a**2 + 5*a + 1. Give k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**3 - 47*a - 2 + 52*a - a**2 + 3*a**2 - 5*a**3 to o*a**2 + b + y*a + p*a**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 70 + 194. Let v be (-2)\/(-7) + u\/(-14). Let q = -9 + 8. Which is the closest to q? (a) v (b) -0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8045*m - 4018*m - 4022*m. Let h(w) = -121*w. What is t(h(s))?\nAnswer: -605*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 892?\nAnswer: 16056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:12 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*q + 32 - 32)*(0*q**3 - q**3 + 3*q**3) - 3*q**4 + 3*q**4 - 2*q**4.\nAnswer: 38*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -571250\/791 < -723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 11. What is w(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 27*y**2 + 13*y + 10. What is i(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.095 - 0.175. Let g = -3.23 - 0.77. What is the biggest value in g, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**5 - 12*g**5 - g**5 + 2*g**5 - 4*g**5 + 0*g**5 + 0*g**5 + g**5 + 0*g**5 + (-g**3 - 1 + 1)*(-3 - 2*g**2 + 3))*(-21 + 12 + 14).\nAnswer: -80*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 7*h**2 + 6*h + 4. Let z(u) be the third derivative of u**6\/60 + 13*u**5\/60 + 11*u**4\/24 + 7*u**3\/6 - 562*u**2 + 1. Give -7*q(t) + 4*z(t).\nAnswer: t**3 + 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 15*t**2 + 15*t + 20. Let k be p(16). Solve k*z + 26 = n + 7, -z - 5*n + 11 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**4\/4 + 2*u**3 + 2*u**2 + 4*u - 563. Let p(a) = a**2 - 7*a. Let x be p(6). What is q(x)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1617 and 3619.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 72636.\nAnswer: 1380084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21012210211201 + 2000?\nAnswer: -21012210202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3 + 2044*h**2 - 2030*h - 12252 = 0 for h.\nAnswer: -2, 3, 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2 + 678*y + 299. Calculate k(-66).\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let r = -0.14 + -0.06. Let n be (27\/2)\/(-3)*(-1)\/(-3). Which is the second smallest value? (a) r (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*20\/24 + 2\/3. Suppose n - 7 - 1 = 2*q, -2*q + 12 = r*n. Put -9, 3, q in ascending order.\nAnswer: -9, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = 2*q + 2*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*q - 13216 = -8199 + 14120 + 2346 for q.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102042 - -191683. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, e: 11, u: 2}. Give prob of sequence uu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4957785.\nAnswer: 3, 5, 7, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let t(w) = -w**2 - w + 2. Let q be t(o). Let i = q - -4. Which is the second smallest value? (a) i (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -170*w. Let h(a) = 28*a + 7. Let z be h(4). Let f(v) = -z*v - 125*v + 371*v - 126*v. Determine o(f(x)).\nAnswer: -170*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-18)*9\/(180\/8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*w = 30 - 13, a + w + 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*a = -16, 11 = 4*q + 2*a - 3*a. Solve -q*k - 4 = 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 25*b + 106. What is f(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.189005 and 0.1.\nAnswer: -0.0189005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 - 20050*h**2\/3 + 40108*h\/3.\nAnswer: -2*h*(h - 2)*(h + 10027)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + sqrt(272) - sqrt(272) - sqrt(272))*3)**2*3.\nAnswer: -432*sqrt(17) + 7449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20164 (base 7) to base 11.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20665883?\nAnswer: 7, 2952269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/10 and -38\/2077.\nAnswer: 20770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 6*p**2 - 90*p + 162.\nAnswer: 2*(p - 3)**2*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 483*j**3 - 2*j + 1 + 2 - 16 + 14 in the form q*j + s + d*j**2 + x*j**3 and give x.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -5, 8922.\nAnswer: -5, 1, 6, 8922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65776358.\nAnswer: 2, 31, 73, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqyiewweq. What is prob of sequence wy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 831*k - 21. Let z(u) = -158*u + 4. Let q(f) = 8*b(f) + 42*z(f). Let l(m) = -513*m**2. Determine q(l(g)).\nAnswer: -6156*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30310 greater than 30310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 10*q. Let l(i) = 2*i**2 - i - 4. Let v be l(3). Let f be u(v). Sort 0.4, -0.1, f in decreasing order.\nAnswer: 0.4, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109074000 divided by 13634250?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10*n - 7*n + 6*n)*((3*n - 4*n + 11*n)*(-1 + 0 - 5) - 2*n + 5*n + 0*n).\nAnswer: -513*n**2 - 114*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001055 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035396 * -1.\nAnswer: 0.035396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3900 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (0 - 3) + 0. Suppose -p*g + 5 = b, -5*g + 27 = -b - 2*b. Suppose 0 = -5*q + 13 - g. What is the least common multiple of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.0062.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/9)\/((-2)\/(-6)). Suppose q*k = -51 + 251. 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: Solve -5*p - 72 - 10 = -27 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwmkwkmw. Give prob of sequence kk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/1099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**6\/30 + g**5\/10 + g**4\/4 - 4*g**3\/3 + 2*g**2 + 130*g. What is j in k(j) = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x**3 + 6*x**3 - 10*x**3)*(-14*x - 469*x**2 + 937*x**2 - 464*x**2).\nAnswer: -68*x**5 + 238*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -5. Let n be 3 + (2 + b)\/4. Suppose 5*x + 5*a - 190 = 0, 5*x + n*a - 255 + 59 = 0. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225*q**4 + 3*q**3 - 27322*q**2 wrt q?\nAnswer: -5400*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.082, -1 in descending order.\nAnswer: 1, 0.082, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9 - d + 2*d**2 - 1 + 5*d**3 - 4 - 6*d**3. Let k be j(2). Let t be ((-11)\/(-165))\/(k\/12)*30. What is the greatest common factor of 84 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/147095 and -24\/4433?\nAnswer: 1618045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/3688 and 79\/8.\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1\/3 (c) 1\/35 (d) -0.051 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-17)*m**(1\/8)*(m**13)**(-5\/17) assuming m is positive.\nAnswer: m**(-2815\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*i - 9*i = -228. Suppose -w - 12 = -2*l, -w - 3*l = 3*w + 4. What is the nearest to -3 in i, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 13*r - 16 = 0. Is r + -5 + (-3 - -178) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -12, 1, -6 in ascending order.\nAnswer: -12, -6, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 9*z**2 - 6*z - 51. Let q be v(-9). Solve 6*f + 9 = -q*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*z - 2*r, -12*z + 12 = -18*z - 3*r. Let y(q) = -q + 6. Let u be y(5). Let c(w) = w - 4. Let i be c(6). Sort u, i, -5, z in descending order.\nAnswer: i, u, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.8793 and 79044.\nAnswer: 79048.8793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2388)\/(-78)*227\/5448 - (-8)\/(-6).\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 225, 4, -1, -5, -0.5, 4\/7, 2 in descending order.\nAnswer: 225, 4, 2, 4\/7, -0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -24\/7*j**2 + 96\/7*j - 24\/7*j**3 + 9\/7*j**4 - 48\/7 = 0.\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9989 * -863\nAnswer: 1725.0507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.111 + -4.089. Sort f, -1, -4.\nAnswer: f, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79 in 0.05, -4, 6\/7, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/60 - (-7)\/(630\/12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 97, 204, 365, 586?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sszz when four letters picked without replacement from {s: 3, z: 9}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2 - 356962*j - 27855204 = 0.\nAnswer: -78, 178559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/143 + 131\/286. Which is the closest to r? (a) -0.5 (b) -3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0*x + 10 - x - 11 - x. Let v be p(3). Let s = 4 + -7. Let k(r) = -2*r + 3. Let a(c) = 5*c - 7. Give s*a(l) + v*k(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614 = -104*b + 1149 + 1924 + 3429 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**2\/2 - 2*x - 4. Calculate the lowest common multiple of r(-8) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.61883719 rounded to 2 dps?\nAnswer: 2.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*r**2\/5 - 663*r\/5 + 492\/5 = 0.\nAnswer: 1, 164\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*z**3 + 52*z**3 + 131*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 108 = 3*m, -2*w - m - 26 = -3*w. List the prime factors of (324\/w)\/(1\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 165*t**2 + 37*t - 44. Calculate s(1).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q\/(q*q**(-9))*q)\/q)*q*q**(2\/25)*q**(-2\/9)*q*q\/q**(1\/10) assuming q is positive.\nAnswer: q**(-2359\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 - 7131 - 9*y**2 + 7131.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 + 27*z**2 - z - 31. Let r(y) = 3*y**3 - 27*y**2 + 30. Let b(p) = 4*r(p) + 3*x(p). Factor b(u).\nAnswer: 3*(u - 9)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -17. Let u be 244\/6*3\/2. Let x = u - m. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -7.9. Let y = -17\/87 - 4\/29. Which is the closest to y? (a) 3 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -625. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2879 + 2882. What is the highest common divisor of y and 813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 0, 2\/45, 0.3, 79?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*a + 35572 = 0, -44327 = -5*o + 5*a + 133563. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.339 - 0.739. Sort 4\/5, i, 4, 1\/84 in increasing order.\nAnswer: i, 1\/84, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2127.61 + 2128. Which is the smallest value? (a) y (b) -0.4 (c) -5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25335 + 11?\nAnswer: -25324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-16))\/(((-24)\/(-80))\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 100 - (62 - 49)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472 (base 9) in base 12?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 18. Let c(g) = -g**3 - 5*g**2 + 6*g + 4. Let r be c(-6). Suppose 4*k - r = 4. What is the smallest common multiple of v and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -51*q**2 + 23*q + 65. Determine a(-7).\nAnswer: -2595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.82, 3\/10, 0.02 in decreasing order.\nAnswer: 3\/10, 0.02, -5.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 8*p - 8, 5*p = -2*a + 26. Solve -5*l + 13 = -k, k - a = 2*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-35)\/((-1715)\/(-6)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1941866\/107 - -18148. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -16.95. Let s = 21 - o. Let y = 0 + -0.1. Sort y, 1, s.\nAnswer: y, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9600 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*o**2 + 7 - 1 - 6.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-9))\/((-1)\/129). Suppose 0 = -4*a + d + 22. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 210, 477, 862, 1371, 2010?\nAnswer: 2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7266314951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.3 - 367.3. Let y = f + 338.99999849. What is y rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/2666 and 0\/(-9 - -4) - (3 + (-219)\/60).\nAnswer: 26660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 487 - 1?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27446 and -420.\nAnswer: 27026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130)*-4)*4)\/(-1*sqrt(810)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((7 + -31)\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10000?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000176371674 to seven decimal places.\nAnswer: -0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 123321103?\nAnswer: 123321102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from hin.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -511, 10, -27 in descending order.\nAnswer: 10, -27, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-33)\/(-6))\/(-11))\/((-2)\/(-24)). Find the common denominator of -61\/21 and (4\/h)\/(20\/545).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -97, -0.3, 2\/5, -58?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 5*j**2 + 8*j + 6. Calculate z(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(85)\/(-1*sqrt(5)) + sqrt(68)*3)**2*6.\nAnswer: -180*sqrt(17) + 2604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6314 by -11.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - f)*(0 + 2 - 1)*(-1 - 1 + 1)*(-f**2 + 2*f**2 - 2*f**2).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/40 of a milligram?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -12. Suppose p = -3*p + 48. What is the least common multiple of s*((-560)\/12)\/(-7) and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c**3 + 0*c**2 + 7*c**3 - 2*c**2 + (2 - 1 - 2)*(0*c - c**3 + 0*c) as o*c + y*c**3 + j + b*c**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 43*p**2 - 24*p + 44. Let k be z(22). Solve k = -7*u - 455 + 448 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506040 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-7))\/(-6) + (-36)\/(-7). Solve -k - y - 30 = -27, z*k - y = 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45, 70, 113, 174, 253, 350?\n\"Answer: 9*z**2 - 2*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.6. Let n = 0.4 + s. Sort -4, n, 3 in ascending order.\nAnswer: -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3295\/1613, -0.1, 12?\nAnswer: 3295\/1613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1392 and 2436.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1. Let t(z) = -3*z + 6. Let f(g) = -5*l(g) + t(g). List the prime factors of f(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-1))\/p)**2\/(p**10\/p*p*p**(1\/7)*p) assuming p is positive.\nAnswer: p**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkgggkkkggkkg. What is prob of picking 2 k and 2 g?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2105 in 0.2, -2\/5, 5, -2\/23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/3 (b) 0.3 (c) -0.2 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3294 or 0.1?\nAnswer: 3294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 6)\/((-4)\/(-2)). Let t be (9 + r)\/2 + -3. Solve -q + 2 + 3 = t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 309 = -2*r + q, 3*q + 617 = 4*r. What is r rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Let u = -13.3 - -13.4. Which is the closest to 0.1? (a) d (b) 3\/8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -98. Let n(q) = -q**3 + q**2 - 2*q - 1. Calculate the smallest common multiple of n(d) and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is the next term in 74, 152, 282, 464, 698, 984, 1322?\nAnswer: 1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18876 is divided by 1201?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 minus -0.30895?\nAnswer: 206.30895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6*n + 8)*(2597*n - 5061*n + 2661*n + 3).\nAnswer: 1182*n**2 + 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-123))\/(-4)*(-3 + 0). Is -1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2315534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*l + 8, -21*h + l = -22*h + 4. Suppose 3*r - 5 - 13 = 0. Solve r*y = h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2527239423 to the nearest integer?\nAnswer: 50272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 199aa?\nAnswer: -199a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 67*i - 591. Calculate f(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 81*y + 84.\nAnswer: -3*(y - 1)*(y + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 41730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 45*o. Let d(u) = 231*u. What is d(k(b))?\nAnswer: 10395*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02499 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c - 182c?\nAnswer: -17b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.4 - 76.3. Let r = -31.9 - t. Which is the fourth smallest value? (a) -2 (b) r (c) 0.02 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340799, -1363201, -3067205, -5452811?\nAnswer: -8520019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.65449ng to tonnes.\nAnswer: 0.00000000000000865449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*r - 10, -5*r + 3*r - 3*n + 7 = 0. Let t(z) = 97*z - 1. Let p be t(r). Let a = -84 + p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2 (b) 0 (c) 1\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 630.288174 + -630.3. Let k = 0.012 + a. What is k rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 2*n - 3*n)*(-37 - 27 + 11)*(0*n - n - n) in the form h*n + d + w*n**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2, 68, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -41. What is the remainder when z is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*q**2)*(10 - 10 - 7*q) + 2*q**3 + 12*q - 12*q in the form t*q**2 + k + i*q**3 + p*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15132*y**2 - 2*y**3 - 15087*y**2 - 2*y**3 - 3*y + 3*y + 30219*y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - -221241104?\nAnswer: 221241060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -452*w**2. Let m(b) be the third derivative of b**4\/12 + 36*b**2 + 12. What is m(l(x))?\nAnswer: -904*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 61 = -4*t, 2*t + 3*s - 27 = 4*t. Let j = 34 + t. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**12\/n)\/n)\/(((n*n*((n*n**44\/n*n)\/n)\/n*n)\/n*n)\/n*n))\/(n**(-2\/15)\/((n\/((n*n**35)\/n))\/n*n)))**38 assuming n is positive.\nAnswer: n**(-39824\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/600 and -53\/15914900.\nAnswer: 95489400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d087b (base 15) to base 14.\nAnswer: c74665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*r**3 - 4*r + 2*r**2 - 23*r**3 - 23*r**3 to the form v*r**2 + d*r + m + h*r**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723713.1 rounded to the nearest 100?\nAnswer: 1723700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/(-7))*(-2)\/14.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1 - 19) + 1060 + -1057.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59893, -478953, -1616415, -3831481, -7483353, -12931233?\nAnswer: -20534323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {a: 3, q: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9100 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 1656281?\nAnswer: 1656281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 112194*c + 897478. Give g(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312 - -326. Suppose -2*k = -l*j + 10*j - 4, k = 5*j + 2. Factor 0*s + j - 3\/5*s**2.\nAnswer: -3*s**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.6335713 rounded to 0 decimal places?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4444*j**2 - 1937 wrt j.\nAnswer: 8888*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 11362140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17, 5, -5 in ascending order.\nAnswer: -5, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 5*b + 5. Let w be n(-4). Let k be (-3)\/6 - w\/(-2). What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 728640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28907 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5560 = -4*j, -a + j + 1485 = -1292. Calculate the remainder when a is divided by 199.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19.1208cm?\nAnswer: 191208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 15. Suppose -r = 4*l + 10, 3*l + 2 + 3 = -k*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 3*o. Let p(m) = -7*m**2 + 7*m - 1. Let u(b) = -5*i(b) - 2*p(b). Solve u(v) = 0 for v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -0*m + 5*r - 45, -25 = -5*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 6*h**2 - 5*h - 5. Let l(d) = d**2 + 6*d - 10. Let g be l(-7). Let b = g + -3. Is i(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142\/3 - 47. What is the closest to a in -2, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -881, -11, -10, 4, -15, 7.\nAnswer: -881, -15, -11, -10, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**2 - 4*s - 3. Let t(u) = u**2 + 1. Let o(r) = -b(r) - 5*t(r). What is the units digit of o(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33023133 (base 4) to base 10.\nAnswer: -62175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*d + 14, 2*a - 6*d + 6 = -4*d. Let z = 3 + a. Suppose -3*j + z*j = 92. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l - 13. Let d be o(-3). Suppose 16*b - 750 = d*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14734 and 4309?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 45 - (6 - (11 + -8 + 6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -22.\nAnswer: -22, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-16) + -5 + (-2)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484150 is divided by 1349?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/132 and 89\/198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 351233 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) - sqrt(77)*-5) + sqrt(77)*4*-1)\/((sqrt(110) - (sqrt(110) + sqrt(110)*-3 - sqrt(110)))\/sqrt(10) - (sqrt(1331) + sqrt(1331)*-3)).\nAnswer: -11*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174 + 174.1. Which is the third smallest value? (a) 4 (b) 1\/6 (c) 32 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2, -7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442241877.35 - 3.\nAnswer: -442241880.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 50. Let z be (-6 + 4)\/(1\/(-6)). Let h = 36 - z. What is the greatest common factor of h and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, -0.2, -1\/4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 775 and 2191400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 521\/66 - 21 - -13 and (-2)\/(-180)*-1*64.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/(10\/(-150)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15 = -2*x. Suppose 0 = x*s - 13*s + 272. Suppose -s*o = -33*o - 2. What is the greatest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 - u**2 + 3*u**2 - 5 + 2*u**3 - u + 25 as j*u + y + b*u**2 + z*u**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 68. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 2*g**2 - g**2)*(2 - 2 + 2*g + (1 - 2 + 4)*(-3*g + 4*g - 3*g))*(32338*g - 16323*g - 16681*g).\nAnswer: 2664*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17090261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-88*(-13)\/104). Let g be -2 - (-16)\/7*1. Which is the closest to 2\/3? (a) g (b) 0.3 (c) h (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 11*r - 13. Let h be t(-5). Let y(z) be the first derivative of -29 - 9*z - 1 + h*z - z**2. Determine y(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.4 - -5.2. Let k = 0.9 - 5.9. Let r = n - k. Is r greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2384.39 to the nearest 10.\nAnswer: -2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378 a factor of 269479034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3679?\nAnswer: 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 113\/(((-34)\/544)\/((-11)\/(-176)))\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 150 = 5*a - 562, 4*a = 2*x + 328. Suppose -16830000 = -87*k + a*k. What is k rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129 and 602?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-6) - 2)*-4 - 3. Let o be 3 - (-8 - (-3)\/(-1) - p). What is the greatest common divisor of 117 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(20\/5)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - 81) + (725\/58 - 1\/2) - -52?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/3195 and 151\/306?\nAnswer: 108630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1107*-419364.\nAnswer: -464235948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -731 (b) 5 (c) 8 (d) 4 (e) -2\/11 (f) -10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 92206*b - 5160400.\nAnswer: -(b - 92150)*(b - 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z - 3*d - 49 = 0, d = 2. Suppose -2*a + 72 + 44 = 0. Suppose 4*i + z = h + 2*i, i = 4*h - a. What is the greatest common factor of h and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnnnnnnnngn. Give prob of picking 3 n.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/4, -2, -0.02, 70, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2047 divided by 13573\nAnswer: 2047\/13573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 24*a - 38. Let z be r(22). Let b(f) = 17*f - 78. Let j be b(z). What is the highest common factor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 651 - 355. Let u = i - 296.2. Let j = 0.1 - 0. What is the third smallest value in u, j, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.6 + 11. Let y = -6.3 - -6. Let r = y + x. Which is the nearest to -2\/5? (a) -0.2 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 34 (c) 1\/3 (d) 4 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 761*s**2 - s - 6*s + 814*s**2 to a*s + m + y*s**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -7, 2\/19, -1\/2, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 3*t + 1. Let w be c(3). Let q be (34\/(-6))\/(w\/(-3)). Suppose 2*r - 1 - q = 0. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340426 - 5297798.\nAnswer: -5638224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllgsslllgggll. What is prob of picking 2 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4266)\/111 - (-1 - -4). Let m = l + 58777\/1332. Let i = -43\/18 - m. Find the common denominator of i and 111\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 107211936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*g**2 + 4 + 32*g - 18*g - 14*g wrt g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -46. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 2*n + 1. Let a be 2\/5 - (-46)\/10. Suppose 4 = a*s + 9. Let y be u(s). Solve 0 = -y*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from fffffdfffffffdffddd?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214935224.\nAnswer: 2, 7, 3838129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 75. Let h be 2*s - 10\/(-5). Suppose 3*o - 12 = 0, -h*t - 5*o + 83 = -113. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:28 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - ((-24)\/(-15) + -2))*-15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 410 - 527. Which is bigger: d or -119?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.18 + 2.82. Let o = 293\/2583 - 2\/861. Let b be 2\/(-6) + 0\/1. What is the closest to b in -0.3, o, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 894 and 309002011.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbskbbkskkkb.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/198401952 and 127\/1824.\nAnswer: 198401952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -0.4, -117, 1\/20 in increasing order.\nAnswer: -117, -0.4, -0.06, 1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fueeefeeefeeeee. Give prob of picking 4 e.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13\/i)\/(i\/(i**12\/i)) assuming i is positive.\nAnswer: i**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 + 4*u**2 + 0*u**2 + 4*u**2 + 3*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 38*o + 35*o - 57 = -33, -5*v - 3*o = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016439 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*s + 20653 - 155565 = 1724*s + 206*s for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*w + 4*i, -w = -4*i - 4 + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*s + 8 = 0, 0*l - l = 5*s + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0180655 rounded to four dps?\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 5*t + 5\/6*t**4 - 1\/10*t**5 + 0 + 0*t**3 + 0*t**2. What is the third derivative of k(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 7, r: 4, g: 1, p: 1}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 80*n - 110*n - 3 - 4*n**2 + 16*n + 13*n as l*n**2 + c*n + a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/((z\/(z**(-1\/4)\/z))\/z)*(z\/z**(-2\/3))**44)\/((z\/z**(2\/9)*z**6)\/(z*z**(-1\/5)\/z*z*z\/z**(-4\/3))) assuming z is positive.\nAnswer: z**(13759\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (11 + 1)) + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1044.\nAnswer: 313.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -17*q**4\/6 - 8*q**3 + 26*q**2 - q. Differentiate l(v) wrt v.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25667 is divided by 12768.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1331))*4 - -3*(1 + sqrt(1331))) + ((2 + sqrt(1331))*3 - ((sqrt(1331) - 3*sqrt(1331) - sqrt(1331)) + 4)))**2.\nAnswer: 1430*sqrt(11) + 224964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - 23*j - 14*j - 11*j.\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -777*q**2*u**2 - 8448*q**2 + 80*q*u**2 - 7*q*u + 1001*q - 22*u**2 wrt q.\nAnswer: -1554*u**2 - 16896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*r - 21 = 0, -6 - 2 = 4*x - 3*r. Suppose z + b = 8 + x, -4*z + 33 = b. Let n = 70.9 + -70.9. What is the closest to n in 5, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-3)\/5) + 3. Let i(k) = 60*k**3 - 8*k**2 + 11 - 42*k**3 - 2*k**2 - 17*k**3 - 4*k + 2*k**2. Determine i(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1295278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006483349 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times -0.093\nAnswer: -0.1302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*-9*44\/(-54)*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 107 - 17 = 0 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80.6 * 0.1488.\nAnswer: -11.99328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/6*23\/((-3588)\/(-104))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfafggffgfffffgff. What is prob of sequence ggg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6539?\nAnswer: 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 4*y - 22, -3*y = 7962*h - 7958*h - 3 - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-11 + -2 - -9) - -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13 - 1 = 0. Let f(m) = 0*m - m - l + 5*m - 2*m + 2*m**2. Calculate the remainder when 61 is divided by f(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -16 + 1\/2*j**2 + 3*j**4 + 0*j + 0*j**3. What is the second derivative of x(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*j + 31 + 1 = 0, -n - 2*j - 12 = 0. Let l(g) = g**3 + 4*g**2 - g + 3. Let o be l(n). Round o to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 2*y + 37. Let f be q(-7). Suppose 160 = -3*k - 4*l, -k - f*l = 37 + 13. Sort k, 0, -4.\nAnswer: k, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, z: 4, v: 2, t: 7}. Give prob of sequence zzz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 48 = -n, -8012*b + 244 = -3*n - 8022*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 1\/3, -2, 3\/17, 5, 5342?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 12591*a - 12594.\nAnswer: 3*(a - 4198)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(18) + sqrt(288)))\/(sqrt(54)\/(-1*sqrt(6))) + (-2*sqrt(2) + sqrt(2) + -4 + 2 + 1*(sqrt(22) + sqrt(88)\/sqrt(4))\/sqrt(11))**2.\nAnswer: -14*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 4:24 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -1457*k**6\/15 + 951*k**2 + 3145*k. Find the first derivative of u(f) wrt f.\nAnswer: -11656*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4 and -7\/164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a = -n - 40*a + 7, -2*a - 10 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or -65965811?\nAnswer: -65965811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t + 41. Let l be u(-3). Put l, -1\/5, 2\/15 in decreasing order.\nAnswer: l, 2\/15, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (306\/(-119))\/((-64)\/(-112)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (288\/(-152))\/(-3)*(-105)\/(-63)*4\/(-10)\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9539800 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 4*l**2 + 4*l - 1. Let c be 1 + (1 - -2 - 1). Let j be v(c). Suppose 2*z = j*n - 5*n + 18, -4*n - 4*z = -24. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136210 and 36494.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 17*q - 192. Let l be r(15). Let b be (l\/1092)\/(9\/8*1). Is 1 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*y**3 - 5459 - y**2 + 6695 + 0*y**3 with respect to y.\nAnswer: 90*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-90)\/(-40)*8\/3. Suppose -5*w + g + 6 = -f, -5*g = 4*w + 2. Suppose 3*p = 2*p. Solve 0 = s + w - p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 21*s + 3. Let x(i) = -3*i. What is x(w(g))?\nAnswer: -63*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52435 > 52445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**3 - 48*s**2 + 155*s - 106. Let d(f) = 19*f**3 - 145*f**2 + 467*f - 319. Let n(c) = -4*d(c) + 11*m(c). Factor n(w).\nAnswer: (w - 2)*(w - 1)*(w + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - r**2 - r + 43. Calculate p(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12033 - 12025 - 11539 + 47621 - 2*j - 12024.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 161399980 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 2, m: 2, g: 1, o: 1}. Give prob of sequence wm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 - 1 = 0. Let f be 2 - (180\/6)\/6. Let w(j) = 11*j + 29. Let t be w(f). Sort -1, -11, i, t in increasing order.\nAnswer: -11, t, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2198739, 2198741, 2198745, 2198751, 2198759?\n\"Answer: i**2 - i + 2198739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 19*s + 9. What is m(3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 29*d**2 + 64*d - 5. What is l(-31)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (83\/(-249))\/((2\/9)\/(-2)). Suppose 0 = -4*s - 19 + i. Let y be 2*1\/s + (-8112)\/(-32). Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-496)\/5952*3\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4*j + 45 = 0. Let b = j - -12. Suppose 5*w - 10 = -b*f, -3*w - 13 = -1. Calculate the lowest common multiple of f and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cebb when four letters picked without replacement from peeebpybpce?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/(-32))\/5)\/(35844\/(-3296))?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24574449, 24574447, 24574443, 24574437, 24574429, 24574419, 24574407?\n\"Answer: -v**2 + v + 24574449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1383 divide 1491767418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 58, 121, 186, 253?\n\"Answer: o**2 + 60*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - ((-1 + sqrt(125))*1 + sqrt(125)))**2 + sqrt(125) + -1 + -2)*-6 + 4.\nAnswer: -734 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)*-3 - sqrt(152))*-3 - sqrt(152)) + 4*(-1*sqrt(152) - sqrt(152)))\/(sqrt(128) - (sqrt(128) + 5*sqrt(128)*-2)).\nAnswer: 3*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3204 - -101021410?\nAnswer: 101013201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2 - t + 5. Let z be x(0). Let u = z - 0. Suppose 4*b + u - 49 = 0. Calculate the greatest common factor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 18\/5, 3 in ascending order.\nAnswer: -1\/3, 3, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-220))\/(57\/(-456)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0189 (b) -4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4949149*q + 4949145*q - 27 = 0, i - 15*q = -23 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-115371)\/6*(-23)\/(-24). Let n = -18433 - p. Find the common denominator of 107\/(11\/((-33)\/(-36))) and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(180))**2 - (sqrt(100)\/sqrt(5)*-5)\/sqrt(4).\nAnswer: 5*sqrt(5) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*p + 25 + 180. Suppose -k = -5*i + 22, -i - k + 10 = -4*k. Sort -1, -9, i, p.\nAnswer: -9, p, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 27 - -37) + 36\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1064 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 2?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlqh when four letters picked without replacement from {v: 2, l: 12, h: 2, q: 4}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 5061 - 5051 + 10110.\nAnswer: -4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i - 8214 - 5046. Does 11 divide ((-2)\/(-7) + i\/(-84))*-11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 18 = -5*w, 5*w - 2*w - t + 14 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20973, -41976, -62979, -83982, -104985, -125988?\nAnswer: -146991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001857896 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, -9, -135, -3, -1.\nAnswer: -135, -128, -9, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**4 + 678*z**3 + 4548*z**2 - 11142*z + 5913 = 0.\nAnswer: -219, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -7. Let h = 57\/4 - o. Which is the nearest to 0.2? (a) 1 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from kkkkkkwwkkkkkkkkkkk.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (4 - (-1 + 6)) + -16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*j**3 - 4*j**3 - 33*j**3 - 17*j**3.\nAnswer: -104*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17485 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3347\/985 + 2\/985. What is the common denominator of ((-12)\/22)\/((-2)\/(-9)) and l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 14*q**2 - q + 19. Let j be a(14). Suppose -58 = -4*s - 2*x, 0 = -j*s - 5*x + 53 + 7. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 14\/33, 0.4, 102 in descending order.\nAnswer: 102, 14\/33, 0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -845*h**3 + 19*h**2 - 60*h - 19. Let m(i) = 282*i**3 - 6*i**2 + 19*i + 6. Give 6*b(o) + 19*m(o).\nAnswer: 288*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-4 - 0) - -3. Calculate the highest common divisor of i and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1946*v - 41*v**2 - 833*v + 50*v**2 - 5*v**3 wrt v.\nAnswer: -30*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433571 to the power of 1\/2, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 6. Let m be r(-7). Suppose -g + 1 = -m. Suppose 4*j - 10 = 10. Solve 3*a - 4*a + 5 = c, g*a = -j*c + 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16)\/((-21)\/(-35)*20)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2. Let m(c) = 12*c**2 - 12. Let z(r) = 1. Let j(l) = m(l) + 12*z(l). Give h(j(f)).\nAnswer: -576*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c + 29*c + 24*c - 18*c as u*c + b and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41694204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -26388.329 to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 843 + -500. Suppose -8 = -39*n + i. Solve n*h + 57 = 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 55*j**3 - 360*j**2 - 900*j.\nAnswer: 5*j*(j - 6)*(j + 2)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 7*m**2 - 29*m + 2. Let g be o(3). Solve -2*w - 12 = -f - g, 0 = -5*f + 5*w + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 27*a. Let n(p) = 4*p**2 + 5*p - 5. Let f(x) = 2*x. Let w be f(1). What is the remainder when t(3) is divided by n(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 + 0.7. Let r = 13022.6 - 13023. Which is the closest to 1\/4? (a) r (b) k (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:21 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065359 to 5 dps.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47778542.\nAnswer: 2, 7, 3412753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534.156 meters in micrometers?\nAnswer: 1534156000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 - 125*y + 69. Give m(-29).\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7908 and 180.\nAnswer: 118620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000968871 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*w**5 + 429338*w**3 + 4926*w**2 + 1188 wrt w?\nAnswer: -1020*w**2 + 2576028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 433771523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8225\/2 + -4114. Which is the biggest value? (a) x (b) 3 (c) 3\/5 (d) 425\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*l*q**3 - 6335*l*q**2 - l*q - 15*l + 66*q**3 + 5*q**2 + 3*q - 279 wrt l?\nAnswer: -4*q**3 - 6335*q**2 - q - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 8:53 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -36. What is the closest to -1 in -3\/2, 5, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -0.2 (c) -2310\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -233*d - 2. Suppose -x - 161 = -4*b, -3*b - 5*x = -7*x - 127. What is the remainder when l(-1) is divided by b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, -25, -44, -63, -82, -101?\n\"Answer: -19*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1524 by -3.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -509456 + -a2?\nAnswer: -509538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)*a**(2\/9))\/(a**(-17))**(-26) assuming a is positive.\nAnswer: a**(-7979\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 8*g**2 + 12*g - 1. Let d be z(-6). Is ((-38)\/4 - d)*-134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**2\/2 - 3*m + 3. Let h be p(3). Solve h*t = -3*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 8 = 14. What are the prime factors of (-2 - 2 - d) + 4 + 336?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(390\/(-36)))\/(56\/70).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*v + 635, -2*z + 440 = 3*v - v. Is (-6)\/8 + v\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 + -98. Let t be 15*(0 + -4 - o\/5). Round t to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 5*t + 5. Let i(r) = r**2 - 3*r + 3. Let l(n) = 2*n**2 - 4*n - 1. Let v be l(3). Determine v*i(d) - 3*f(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1016 * 2\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:59 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818600 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b - 48*b - 20 = 0. Solve -m + 10 = -b*g, 8 = -3*m + 4*m - 4*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 66. What is the smallest value in d, -2\/3, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*m + 2405*m + 215*m + 209*m - 3046*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 37*z**2 + 392*z - 1249. Determine n(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.42? (a) 0 (b) 4 (c) 0.2 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-16)\/r)\/r*r*r**(-8))**(2\/3) assuming r is positive.\nAnswer: r**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-9 + 11 + 54 - -20 - -10)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -106.9+-76\nAnswer: -182.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1108422*r**3 - 2*r**2 - 1672405*r wrt r.\nAnswer: -6650532*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 56 + 4)*(2*f**3 - f**2 + f**2 - 2 + 2 + 2*f**3 + (-2*f + 3*f + f)*(-f**2 + 5*f**2 - 2*f**2)).\nAnswer: -624*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -1073\/18 (c) 3 (d) 0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 66 = 2*k, -122 = -2*k + 5*x - 29. Let o = 54 - k. Is 63\/4 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2834\/5 at most as big as 0.45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose -10*j = 357 - 77. Let d be ((-16)\/j)\/((12\/(-21))\/(-2)). Sort 4, i, d.\nAnswer: d, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*s - 1 + (189 - 68*s - 189)*(-4 + 1 + 4) - 5*s + s - s + (0 + 0 - 2*s)*(2 + 0 - 3) + 0*s + 2*s - 3*s.\nAnswer: -69*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202223048?\nAnswer: 2, 25277881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7969001705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -147*g**5 - 2846*g + 2846*g + g**2 - g**2 + g**5 - g**5 + 2*g**5 + g**5 + (-3 + 0 + 4)*(g**5 - 2*g**5 + 0*g**5).\nAnswer: -145*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/91 and -50\/11323.\nAnswer: 79261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 33 = 30*x, -7*x - 8 = -4*v - 3*x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -66*b - 320. Let i(l) = 33*l + 159. Let d(q) = 5*i(q) + 2*x(q). Differentiate d(n) wrt n.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)\/((-2)\/2). Suppose 4*x - 16 = 0, -x = -y - g - 0. Solve 0 = 4*c - 1 - y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3, 0.5, 4, 8.\nAnswer: -1\/4, 0.5, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*t + 11*t - 8*t)*(-34*t + 43*t + 2*t) in the form b*t + a*t**2 + f and give a.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -2 - 3 - (-23 + (32 - (7 + 19))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -6 + -5 + 11 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120408700 = 2*o - a, -3*o + 4*a + 195000541 = 14387491. Suppose 5*d + 17204350 - o = 0. Round d to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 24777111.\nAnswer: 495542.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-195)\/(-10)))\/((-26)\/(-91377)*-33)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 3*x - 3*x + (5*x - x - 5*x)*(-x**4 + 0*x**4 + 5*x**4) - x**5 + 4*x**5 + 2*x**5 - 4 + 4 - 3*x**5.\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 2*b**3\/3 + 1. Let k(w) be the third derivative of w**4\/12 - 9*w**2. What is k(r(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(187) + sqrt(187)*2) + -3*sqrt(187)*6)\/(-4*sqrt(396)*-1*6)*-2.\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/4)\/((-243)\/168). Let m = 7581 + -7579. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/8 + 4\/(384\/(-20)) and -46\/5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 221\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/126 and 1\/198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -81*p**3 + p. Let a be i(1). Suppose -v - 8*r + 7*r + 189 = 0, 5*v = 3*r + 913. Let g = v + a. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(1\/(-2)). Let z = -15 - -21. Let l(c) = 2 + 5 - z. Let f(g) = -g - 4. Calculate x*f(o) + 3*l(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3249*t**2 - 1545*t - 8984591 wrt t.\nAnswer: 6498*t - 1545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 509947157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 131*n**2. Let a(x) = 226*x**2 - 20*x**2 + 195*x**2 - 9*x**2. Let o(q) = -4*a(q) + 11*d(q). Let w(j) = j. Determine o(w(c)).\nAnswer: -127*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -964*r**3 - 255*r**3 - 1 + 1.\nAnswer: -1219*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2. Let c(u) be the third derivative of u**4\/24 - 73*u**3\/6 + 33*u**2. What is c(g(s))?\nAnswer: -5*s**2 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(5\/8)*y)\/y*y*y*y**(-2\/9)*(y**(-12))**(2\/35))**(-1) assuming y is positive.\nAnswer: y**(-6847\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0 - 19\/6*v**3 + 0*v**2 - 38*v. Let l(c) = -c. What is x(l(r))?\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2709*b**4 + 37*b - 71 wrt b?\nAnswer: 32508*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 431 - 4299\/10. Let v be (127 + -4 + -1)*13\/(-10). Let j = 1617\/10 + v. Calculate the common denominator of o and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - (-150)\/55 - -1 and ((-2)\/10)\/(2\/48).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 39237?\nAnswer: 39235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110210 (base 3) to base 2.\nAnswer: -10011001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15198 and 805494.\nAnswer: 805494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 + 2*a - 17. Calculate q(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 + 420. Let 262*y**2 + 1 - 3*y + 4 + 1 - n*y**2 + 3*y**3 = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - t + 2480. Calculate the common denominator of (4 + -1)*7\/(-154) and 14*2\/t*(-50)\/(-4).\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 22*n + 330 = 0. Let o be (-1306 - -1)\/5 - 3. Let s be o\/(-9)*6\/4. What is the greatest common factor of s and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - -26)*(88\/3 - -2). Suppose 5*f - t = 4*y, -y - 2 = y. List the prime factors of f.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96172 + -96172.058023. What is p rounded to 3 dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1382436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (0 - (2 + 3 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -728.57 - -729. Is 0.7 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -11*c**5\/5 + 13*c**4\/12 + 53*c. Find the third derivative of v(x) wrt x.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -16*s**3 + 3*s**2 - 1222*s + 2437. What is x(2)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110010100001010001 + -11?\nAnswer: 1010110010100001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.28362 or 1?\nAnswer: 0.28362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpjpjpppjppppppjppjp. Give prob of sequence pjjc.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d - 5. Let q be (-3 - -5) + 2\/2. Let v be f(q). Solve v + 4 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14222450 (base 6) in base 9?\nAnswer: -818643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 - -1 - (8 - 6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40*(-109)\/(730300\/(-871)).\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126668992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**6\/10 - 21*h**5\/10 + 8*h**4 + 5*h - 60. What is the third derivative of v(q) wrt q?\nAnswer: 72*q - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -3*j**8\/14 - j**6\/3 - j**5\/20 + j**4\/12 - 539*j**2\/2 - 9*j + 116. What is the third derivative of o(v) wrt v?\nAnswer: -1440*v**3 - 240*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*330\/8 - (-188)\/(-752). Solve 0*u = 3*u - 12, 4*u = -5*s + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1 + 0*h + 5*h - 2*h. Calculate the remainder when j(2) is divided by 3\/6 - (-6)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = -0*h. Let b be (0\/h)\/((-14)\/7). Let x = -0.06 + -1.94. Sort x, 2\/11, b in decreasing order.\nAnswer: 2\/11, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -11269.\nAnswer: -11269, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2. Let o(c) be the first derivative of -11*c**3\/3 + 1. Calculate o(q(i)).\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707906 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, m: 3}. Give prob of sequence mn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33215 (base 6) to base 10\nAnswer: -4619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499*t**2 - 419*t**2 + 40*t - 4*t**3 + 72 - 188*t = 0. Calculate t.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112358321.\nAnswer: 17, 6609313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9511065 is divided by 754?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = -2*z + 110, -180 = -4*w + 4*z. Let a be 9\/(-5*(-15)\/w). What is the highest common divisor of 8 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*d**5 + 2*d**4 + 19*d**2 - 8181*d.\nAnswer: -2320*d**3 + 24*d**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 - 42*o**4 - 196*o**3 + 284*o**2 + 198*o - 242 = 0. What is o?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3394 - 3393.7. Which is the fourth biggest value? (a) 6\/7 (b) u (c) 2\/3 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = -2*s. Let v(n) = 1 - 9 - 5*n + s*n. Calculate v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3382990, -3382991, -3382994, -3382999?\n\"Answer: -z**2 + 2*z - 3382991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 351, 331, 289, 213, 91, -89, -339?\n\"Answer: -2*q**3 + q**2 - 9*q + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 1\/4 (c) 21 (d) 0.02 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 414023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 58458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and 366.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 13 + 7. Let a = 29 + b. Let r be 3\/a - (-16)\/6. Solve -5*g - 1 = -3*h + 5, r*h + 3*g = -18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/9 - 149*s**2\/3 - 5475*s + 16875 = 0. Calculate s.\nAnswer: -225, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0219 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 534411 + -533689.343. Let t = -722 + s. Let a = 0.013 + t. Round a to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4637119929?\nAnswer: 3, 13, 118900511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3*(-3)\/(-2). Suppose 0 = -5*x + 17 + 3. What is the third derivative of -4*f**2 + 0*f**4 + 6*f**p - f**x wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4792 is divided by 1760?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k, -5*k + 37 = -5*r + 12. Is 3 a factor of (r\/6)\/((-6)\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 + 130*j\/3 - 5764.\nAnswer: 2*(j - 66)*(j + 131)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73 or 98?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 10*x = 5*o - 80, -x + o + 464 = 474 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47740, -95522, -143364, -191296, -239348, -287550, -335932, -384524?\n\"Answer: -5*y**3 - 47747*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/4 + 8*i**3\/3 - 9*i**2\/2 + 3*i - 37. Determine j(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -9*u - 3*t - 3, -3*u - 6 = 4*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - ((2 - -5) + -4)) + (2 - -14)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24446251 + -35121.\nAnswer: -24481372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 + 102. Let d = -81.63 - s. What is d rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2841589 or -2841583?\nAnswer: -2841589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -142, 4, -4, 1, 2.\nAnswer: -142, -4, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2 = 2*v - 2*l, 0 = 5*v - 4*l + 2. Solve -v*t = -3*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8*b + 44. Calculate the remainder when 12 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54184 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10101101 (base 2) to base 16\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 71773*n\/3 + 789866.\nAnswer: -(n - 71806)*(n + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, m: 7, n: 2}. What is prob of picking 1 m and 2 x?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -2*m**4\/3 + m**2\/2 + 2*m. Differentiate n(w) with respect to w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.30059 minutes in milliseconds?\nAnswer: 318035.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201123031100021 - 0?\nAnswer: -1201123031100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/249878 and 2\/1213?\nAnswer: 249878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + 6 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + -0.19. Let b = -0.13 - -0.03. What is the nearest to 0 in b, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - (5 + -6). Let j(d) be the first derivative of z*d**2 + 1\/4*d**4 + 1\/3*d**3 + 2 - d. What is j(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286353059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -44196 times 0.1?\nAnswer: -4419.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*f**2 - 29*f**2 + 2*f**4 + 0*f**4 - 1 to the form w*f**3 + y*f + o*f**2 + l + h*f**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 845*y**3 + 94575*y**2 - 496485*y + 637065.\nAnswer: 5*(y + 117)*(13*y - 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eieieeeceii. What is prob of picking 4 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 - 1 = 0. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-240))\/(5*(-52)\/195)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 30 = -3*n, 3*n + 134*r - 133*r = 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5145, -9113, -13081, -17049, -21017, -24985?\n\"Answer: -3968*t - 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 1034*n\/9 - 1652.\nAnswer: 2*(n - 14)*(n + 531)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqwwqqybwwwqkbqqw. Give prob of picking 1 y, 2 b, and 1 w.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 82 + 107 = 0. Suppose a = 2*a - 1. Let o(p) = p**3 + 1. Let j(i) = 8*i**4 - 5*i**3 - 20. Let n(s) = a*j(s) + x*o(s). Differentiate n(c) wrt c.\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 3*u + 1. Let l(m) = 61*m**2 + 3*m + 11. Let w(i) = -3*b(i) + l(i). What is the second derivative of w(d) wrt d?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18635 * 0.06.\nAnswer: 1118.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2694 + -2695 + ((-4 - -2) + 20 - 3) + 0\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 45. Let r = -52 - o. Solve r*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 - 223. Let j = -62 - y. Solve o - 5*r + j = 0, o + 8 = 2*o + 2*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2469100, -2469097, -2469094, -2469091, -2469088, -2469085?\nAnswer: -2469082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 + 9*j**2 - 16. Let h(i) = -i**3 + 1. Let m(y) = f(y) + 3*h(y). Let a be m(-9). Let k = 47 - a. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 4*j + 1. Let c be n(-4). Let o = c + 4. Suppose 2*b + 0*b = 4*m + 118, m + 331 = o*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 - 21*r**2 + 8*r. Let q = -4 + 8. Let h = -29 + 20. Let p(u) = -2*u**3 - 10*u**2 + 4*u. Let f(x) = h*p(x) + q*j(x). Solve f(n) = 0 for n.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*i + 89, -2*h + 2*i + 2*i = -176. Let r = h + -44. Suppose 180156 = 3423*z - 35493. What is the greatest common divisor of r and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*v**3 - 4\/9*v**2 + 0 + 2\/9*v**4 + 0*v = 0 for v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - -0.51. Let v = d - 0.71. Which is the nearest to -1? (a) -1\/13 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7782145 divided by -1556429?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -62 (c) -2\/9 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x - 6. Let v(t) = -t + 1. Determine -2*i(m) - 18*v(m).\nAnswer: -6*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-496)\/93*9\/6 + 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0734 and 8349.\nAnswer: -612.8166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 2*g + 4. Is g <= 2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954899 = 187*l - 947980 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 464\/1235 - -6\/247. Which is the closest to 12? (a) -4 (b) l (c) -2\/7 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2085 - 29269\/14. Let f = 6021\/4 - 1487. What is the common denominator of f and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 + 540*y**3 + 137415*y**2 - 3197650*y + 15477000 = 0. What is y?\nAnswer: -134, 7, 15, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/155, -91, 4 in decreasing order.\nAnswer: 4, 2\/155, -0.3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, 522, 1519, 2944, 4797?\n\"Answer: 214*g**2 - 73*g - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -72\/7. Put r, -23, 4 in decreasing order.\nAnswer: 4, r, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3000)\/(-20))\/3*2\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83899 + 2538.78.\nAnswer: 86437.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**3 + x**5 - 1 - x**5 + 8 - x**6. Find the third derivative of v(i) wrt i.\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -915, -3585, -8057, -14337, -22431, -32345?\n\"Answer: -h**3 - 895*h**2 + 22*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 2*n**3 + n**3)*(-2*n + n - n) + 7*n**2 - 7*n**2 - 13*n**4 + 3*n**4 - 6*n**4 + 2*n**4.\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 370132799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-2))\/q*q**0*q**(-4\/9)\/(q*q**0) assuming q is positive.\nAnswer: q**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*q - 259*q + 145*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54089 + 54091. Let x(p) = -2*p + 3. Let r be x(3). Sort z, 4, -4, r.\nAnswer: -4, r, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from ybytttyqyb.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*f = -5, f - 8 = 5*f. Let d = m + -2. Suppose 135 = d*o - 5*j, -3*o - 21 = -3*j - 156. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58.2, 3, -3, 0.5, 2\/7, 10\/233?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 7*b**6\/30 + b**5\/3 - b**4\/3 + 9*b**2\/2 + 7. Let i(k) be the second derivative of r(k). Factor i(m).\nAnswer: 4*m*(m + 1)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = 3*w, w = -0*w - 5*q + 4. What is the lowest common multiple of -1 + 12\/(0 + w) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 7*k - 4*k - 393 + 393.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-29 - -17 - (-3 - 3) - -8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*j = -60, 0 = -2*p + 5*j + j + 24. Solve f + 2*b = 5, 5*b - p - 23 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10623*k + 728. Is i(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3225 and 825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**6\/180 - t**5\/18 + 13*t**4\/36 - 7*t**3\/9 - 17*t**2. Factor q(o).\nAnswer: -2*(o - 1)**2*(o + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 38*y - 75*y**2 + 56*y**2 - 16*y + 40. Let s be j(-20). Solve s*z + 8 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7954 + 7957. Solve 5*h = -b*k + 8, 3*h + 20*k - 16 = 21*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.081, 4, 2, -3\/8, 3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**7\/945 + z**5\/90 + z**4\/54 + z**2\/2 + 4*z. Let d(a) be the first derivative of f(a). Suppose d(o) = 0. What is o?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t - 1. Let u be x(-3). Suppose y = 5*r + 36, -2*r - 59 - 29 = -u*y. Suppose 20*n - y*n - 196 = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 123 - 12*y - 61 + 2.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqg when three letters picked without replacement from llmwqzqmgzqlm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(144)*-5)\/sqrt(8).\nAnswer: -15*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439420 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27355 - 15264*q - 27355.\nAnswer: -15264*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 3:43 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-25)*(54 - 59)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 257*u**2 + 5 + 10.\nAnswer: 257*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from ssamsfsmssafmmsfs.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 6*p**2 + 5*p - 1. Let o be i(5). Let g be (-20)\/250*(-6 - o). Which is the nearest to -1\/3? (a) g (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3\/(-4) - (-4)\/((-64)\/(-348))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-105))\/(13\/(-14) + 1). Calculate the highest common factor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 588 - 590.02. Let m = d - -1.62. Let s = -13 + 8. Which is the nearest to 3? (a) m (b) s (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107250*o**3*v*z**2 - 15*o**3*v*z - 14073*o**2*z**2 - 3*o**2*z + o*v*z**2 - 3*o*z**2 wrt o?\nAnswer: -643500*v*z**2 - 90*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63316599?\nAnswer: 3, 29, 727777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5343531182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0*u**4 - 1\/735*u**7 - 1\/420*u**6 + 0*u + 0*u**5 + 0*u**3 + 0 + 16*u**2. Determine b so that r(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**4 + 29\/120*b**6 - 28*b**2 + 0 + 0*b**5 + 0*b + 3\/2*b**3. Differentiate f(s) wrt s.\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, w: 1, c: 1, e: 1, s: 3}. What is prob of picking 2 s?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11140766 at least -11140755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8 + -35 + 19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34126, 34127, 34128, 34129, 34130, 34131?\nAnswer: 34132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 6569160.\nAnswer: -85399080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 5*s. Calculate p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88187741.\nAnswer: 88187741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*d, -i - 3*d + 15 = d. Solve -4*l = 0, 5*z = 2*z - i*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.057 - -0.143. What is c rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (214 - 128 - 159)*(-5 - 4*n**2 + 3 - 14*n**2) to c*n + q*n**2 + h and give h.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (2\/(-6)*-9 - 156). Let -328*d - 6*d**2 + 28*d**2 + 6*d**2 + 54 - c = 0. Calculate d.\nAnswer: -2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 + (4 - 18 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 4*w - 3. Determine a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6262 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, 1 f, and 1 g when four letters picked without replacement from nngggnignninbfn.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.59 + -1.41. Let r = 629376419.9999939 + -629376358. Let i = g + r. Round i to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54864)\/(-84) + 6\/(-42)*-6. What is the greatest common factor of 12 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 399\/2 + -199. Which is the nearest to 0? (a) p (b) 2\/7 (c) 12 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**2 - 78*m + 2*m**2 + 1801 - 767 - 754.\nAnswer: 2*(m - 35)*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v - 420*v**2 + 237*v**2 + 191*v**2.\nAnswer: 8*v**2 + 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -53 - 4) + 15\/(-5). What is the highest common factor of 207 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 5 + 5)*(2 - 4*k + 4*k + 3*k**4 + (2 + 0 + 1)*(0*k**4 + 0*k**4 + 2*k**4) - 4*k**4 - k**4 + 3*k**4).\nAnswer: 42*k**5 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/22 - (-52)\/44. Let d(f) = 17*f. Calculate the remainder when d(s) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9003195 divided by 3?\nAnswer: -3001065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-50)*5 - (170 + -200).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 21*c**2 + 148*c + 38. What is the remainder when 113 is divided by s(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**3 - 16*n - 1. Let c(j) = -1 + 4 + j**2 + 0. Let x(z) = 16*c(z) + 3*v(z). Let i(q) = -2*q. What is i(x(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -69, -23, 61, 195, 391, 661, 1017?\nAnswer: 1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/2 - ((77 - 24) + -39).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 4. Let q(v) = -v**2 + 17*v - 21. Let t be q(15). Is t equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 11*b**2 - 11*b + 2. Let f be u(8). Suppose -i = i - f. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -393, -3, 7, 1 in descending order.\nAnswer: 7, 1, -3, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7220999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 2*h**2 - 2 + 3 - 3*h**3 + 3*h**3.\nAnswer: (h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12477 + 12.12477. Suppose -3 = 2*b - 5*b. What is the closest to b in 1, 0.2, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 3*k + 29 = -15*c, 3*c + 24 = 3*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - (sqrt(9) + (sqrt(441) - 1*sqrt(441))) - sqrt(9)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187112999.\nAnswer: 43, 53, 959681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 5*f**2 - 20*f + 20.\nAnswer: 5*(f - 2)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -14. What is the third biggest value in 0, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11377279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*q**3*w + 193*q**3 + 528*q**2*w + 2*q**2 + 198*q wrt w?\nAnswer: 34*q**3 + 528*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9551273 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1175 and 457.\nAnswer: 536975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1589944, 3179910, 4769876?\n\"Answer: 1589966*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k = -37*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -275, -5, 1, 0.\nAnswer: -275, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286040 + 11870 = 13820*z - 558930 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*f + 156364, -f - 156346 = -120*u + 116*u. What are the prime factors of u?\nAnswer: 5, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffffffcyfff. What is prob of picking 3 c and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 44125\/5231?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8848)\/(-163688))\/((-2)\/2146)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 13 - (9 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220316 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -15*c. Let g(s) = 90*s - 40*s - 17*s - 34*s. Let d(u) be the third derivative of u**4\/4 - u**3\/2 + u**2. Let n be d(6). Determine n*g(m) - 2*o(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 469 + -466. What is the third derivative of -j*p**4 - 2*p**2 + 48 + 44*p**3 - 7*p**4 - p**4 + 9*p**4 + p**4 wrt p?\nAnswer: -24*p + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 3, w: 3, d: 4, r: 3, o: 1}. What is prob of picking 1 a, 1 r, and 1 o?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -281945148 to the nearest ten thousand.\nAnswer: -281950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 94\/(-4)*(-22)\/33*(32 + -29). Solve 13*x = -j - 44 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16316579 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*h + 2*j, 31*h - 29*h - 65 = -j. Sort -1, h, -91.\nAnswer: -91, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/15 + 6*u**4 - 74*u**3\/3 + 897*u**2 - 2*u. Solve d(c) = 0 for c.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:56 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 23 = 47 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 56937*g**2 + 81 - 35.\nAnswer: 56937*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 722822, 722826, 722830, 722834, 722838?\nAnswer: 722842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3375168 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 3157349 and 3157349 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 + 3*x**2 - 3*x + 3. Let p(a) be the second derivative of -1\/3*a**4 + 19*a + 2\/3*a**3 - 3\/2*a**2 + 1\/4*a**5 + 0. Calculate -4*i(u) - 3*p(u).\nAnswer: u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*l + 101*l - 198*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 2, y: 2, q: 9}. What is prob of sequence qyqy?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 692.2*37.\nAnswer: 25611.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*f**4 + 76576*f**3 - 3*f**2 + 493*f + 1755 wrt f.\nAnswer: -1824*f + 459456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yywwsywytw. What is prob of sequence tyw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*v - 143*v + 24 = 0. Suppose 0 = a - 3*a + t + v, 3*t + 15 = 5*a. What are the prime factors of 3*(-1)\/a*-37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 29, 43, 87, 173?\n\"Answer: 2*r**3 - 3*r**2 - 9*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7548281 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nunn when four letters picked without replacement from nnnnnnutnt.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103346286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -9 (c) 1 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10758449 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 divided by 185352.\nAnswer: 37\/92676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/19, 51820, -0.4?\nAnswer: 51820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.53348km to millimeters.\nAnswer: 62533480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 31215, -7, -5, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -25\/16, 0.5, 0.2, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4363793\/4 or 1090949?\nAnswer: 1090949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, i: 1, c: 1, w: 2, z: 2, h: 2}. What is prob of sequence ch?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wukwpwuwumwuwuuwuwkm. Give prob of sequence mup.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:17 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(17) + -2)**2 - (sqrt(17) + sqrt(68))*3.\nAnswer: -126 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.51117334 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -2 - (-2 - 0). Suppose -z = v - 3*o, -o = -5*v + 2*o + 14. Calculate the remainder when (1*3)\/(3\/6) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 93\/4 (b) 1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/4, -58 in descending order.\nAnswer: 1\/4, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 15*p + 16. Let f(k) = -k**2 - 6*k - 7. Let h be f(-7). Let y be b(h). Suppose y*s + 88 - 1194 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937203949.\nAnswer: 11, 8819, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997484.\nAnswer: 2, 7, 107053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -272 - -417. Suppose 17 + v = 9*t. Calculate the least common multiple of t and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 36, -5, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6875 - 6881)\/(12\/(-7)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(7)*6 + 4 + (sqrt(7)*2 - sqrt(7)) + 2 + sqrt(700) + ((sqrt(175)*-2)**2 - sqrt(7)).\nAnswer: -2*sqrt(7) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(-3*sqrt(4)*3)\/sqrt(2) + 0) + 0.\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (21275\/90 - 4\/(-9)) + 2\/12 and 12.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 315. Let t = 497 + v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0*l - 2*l + 3)*(6*l - 31 + 31).\nAnswer: -12*l**2 + 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133.2 - 168.2. Which is the fifth smallest value? (a) 3 (b) 2 (c) 5 (d) 0.2 (e) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 2, -3, 7\/2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/60 - 47*w**3\/6 + 91*w**2. Let q(r) = r**2. Determine j(q(t)).\nAnswer: t**4 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*t - y, -6*y - 13 = 5*t - 4*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**13*y*y*(y**(-9)\/y*y)\/y*y*y*(y*(y*y**(-4\/15))\/y*y)\/(y**(-2)*y))**(-23) assuming y is positive.\nAnswer: y**(4577\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 63 = -4*g. Let l = g - 18. Suppose 5*s = -3*j - 4, 2*s + 11 = l. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:22 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -151 + i**2 - 118*i + 144 + 129*i. Determine l(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10110011000101100?\nAnswer: 10110011000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4500)*2 + sqrt(4500))\/((sqrt(99)*-1)\/sqrt(11)).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a - 25. Let q be r(2). Solve 5*w = 3*n - q, -5*w + 5 = -5*n - 0*w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -188 - 10.662.\nAnswer: -198.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r - 4*n, -4*n + 4 = -0*r + 4*r. Let p = r - -9. Calculate the least common multiple of 68\/6 - (-6)\/p and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 1)*(-12882)\/180. Let z = -458\/3 - a. Let w = 134 - z. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24099.971 to the nearest 100.\nAnswer: 24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.870885 rounded to three decimal places?\nAnswer: -8.871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.039 + -1.939. Let g = 42.1 - l. Let d = g - 48. Which is the second smallest value? (a) d (b) -20 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let m be (-7)\/(-1) - (28 - 21). Let j(t) be the second derivative of -4*t + 0 - 1\/12*t**4 + m*t**3 + 0*t**2. Determine l(j(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p + 13*p - 6*p - 2*p**2 + 3*p**3 in the form w*p**2 + c + a*p + v*p**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2 - 5 + 27 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-4)\/(-24) - 88\/600).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/11*(-26)\/(-208)*8\/1020*-6.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (54\/(-135))\/(2\/(-20)))*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 637422587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 16. Suppose 5*r = -j*i - 0 + 22, -4*r = -4*i - 24. Let c(h) = -7*h**3 + 7*h**3 + 1 + 0 + 16*h**3. Give c(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 132.8247 and 0.3?\nAnswer: 39.84741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 889*f + 892*f + 2)*(3 + 6 - 3).\nAnswer: 18*f - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3150*i. Let m(w) = 2*w - 139. Calculate m(n(h)).\nAnswer: -6300*h - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.954 + 7.754. Which is the smallest value? (a) 0.5 (b) -14 (c) 0.2 (d) i (e) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 - -86. Let r = -2 - -4. Find w such that -3*w**2 - 6*w**2 - 7*w**3 + 12*w**4 + 3*w**d + w**r = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-9)*i*i**(-1\/3))\/(i**(2\/13))**(-2))**(10\/7) assuming i is positive.\nAnswer: i**(-2740\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2702 or 21627\/8?\nAnswer: 21627\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(539) - -3*(sqrt(539) + 2)**2 - (1 + sqrt(11) + -2 + sqrt(891)))*1*-2.\nAnswer: -13040 - 648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 13*y - 16*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llb. Give prob of picking 1 l and 1 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1895 + 1407 - 718 - 1122*w**3 wrt w?\nAnswer: -3366*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 4, j: 6, w: 7, s: 1}. Give prob of sequence jj.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000084296 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 39?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1369*r - 15278 - 9684 = 33905 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2. Let g = 50 - 47. Let w(y) be the third derivative of 0 + 0*y**g + 0*y - 5*y**2 - 1\/8*y**4. Calculate w(v(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, -5, -2 in descending order.\nAnswer: -2, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 10*q**2 + 12*q + 13. Let v be b(-11). Let h be v*(3\/(-2))\/(-3). Let s(y) = -3*y**2 - y. Give s(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*g - 104 + 46 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 682442 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 10*d**2 + 6*d - 17. What is the remainder when l(9) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569509364?\nAnswer: 2, 1597, 89153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/560468 and -46\/16079.\nAnswer: 3923276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*d + 4*y, -2*y - 64 + 60 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*z - 6 = 0, -5*z = -3*z - 4. Let n(p) = -p + 19. Let m be n(17). Let t(u) = 7*u**2 - 16*u + 3. Let y be t(m). Put y, k, -4 in descending order.\nAnswer: k, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 41 - 89 = q, -2*p - 79 = -5*q. Let s = 40 + p. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, f: 2, a: 4, i: 2}. What is prob of sequence iij?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 854327988 a multiple of 978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1224 = 183. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*b = -6, 3*n - 2*b = -n + 12. Let l be (-1 + n)*5\/2. Solve d - 12 = -l*j - 2*d, 0 = 2*j - 2*d - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3960 = 3*b - 22815, 5*u - 2*b = 47090. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 21 = 11*j - 8*j, 5*j = 4*x + 22. Factor 0*k + 1\/8*k**j - 1\/8.\nAnswer: (k - 1)*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/465 + 879\/155. Suppose 546*l = 604*l - 348. Is l >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 2*y**3\/3 + y**2\/2 - 124*y. Determine g(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(380)\/(sqrt(250) + 3*sqrt(250)))\/(sqrt(800)*-3))**2.\nAnswer: 19\/1440000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.3 and -246.6491589252.\nAnswer: -244.3491589252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*y**5 - 3*y**2 - 1259*y**3 - 9*y**2 + 1258*y**3 wrt y.\nAnswer: 720*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 less than -2?\nAnswer: -1.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.62 (b) 0.1 (c) -5 (d) 1\/5 (e) -4\/9 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/16*6 + -2. Let z = 9.5 + -9. What is the nearest to r in z, -2, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7485 + -7485.1. Which is the closest to f? (a) 0.1 (b) -2 (c) 4\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3\/7. Let b = 138 - 92. Let n = b + -46. Is n not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 + -3)) + 21 + -29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8637, -17127, -25617, -34107, -42597, -51087?\nAnswer: -59577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -86. Let a(n) = n**3 - 22*n**2 - 10*n - 43. What is the tens digit of a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94.5595 - 0.0405. Let t = d + 95. Let n = 0.08 + -2.08. Which is the closest to n? (a) t (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -630416492\/112749 - -329880\/59. Let m = 2\/147 - d. Let y be 16\/(-110) + (-4)\/10. Which is the biggest value? (a) m (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3522\/11740)\/((-6)\/(-440))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y - 33. Let a(l) = 36*l - 98. Let m(q) = -4*a(q) + 11*h(q). Let x be m(5). What is x rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f + 959 = 4*f - 581 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 897*f**3 + 87*f**2 - 792. Let k(m) = -2691*m**3 - 290*m**2 + 2377. Let x(w) = -3*k(w) - 10*z(w). Differentiate x(q) wrt q.\nAnswer: -2691*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1053 and 77436?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**6 - 3*p**5 - 200*p**3 + p**2 + 3862*p.\nAnswer: -600*p**3 - 180*p**2 - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*b - 52, -2*b + 0*b - 74 = 4*w. Let k be w\/(-4)*8\/12. Solve k*n + 13 = -2*d, 4*n + 4*d + 4 + 20 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o - 14. Is z(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4) - -1)*0. Suppose h - 4 + c = 0. Suppose 3*y = -2*u + 606, -h*y = -4 - 4. What is u rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 9:09 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11545, -23117, -34727, -46393, -58133, -69965?\n\"Answer: -3*g**3 - g**2 - 11548*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -23\/295 (c) 2\/9 (d) -3 (e) -23.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2 and (4 + 184\/96)\/((-2)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 187, 165, 145, 127, 111, 97, 85?\n\"Answer: f**2 - 25*f + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*y + 46, 10 = -3*o - 4*y + 3. Let u be (3 - o) + 0\/3. Calculate the highest common factor of u and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 + 190*x**2 - 1805*x = 0. Calculate x.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -r + 10, 5*r - 2*f = -0*f - 16. Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1436*v = -1777*v - 2387 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3416 or -3733?\nAnswer: -3416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1196?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -27*j**3 - 14 + 28*j**3 - 13*j + 11*j**2 + 27*j - 42*j. What is w(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v + 3. Let k be w(0). Let i(r) be the first derivative of 5*r + 2\/3*r**3 + 1 - r**2. Let s(f) = -f**2 + f - 4. Give k*s(h) + 2*i(h).\nAnswer: h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 6:31 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4583256, 4583146, 4582962, 4582704, 4582372, 4581966, 4581486?\n\"Answer: -37*j**2 + j + 4583292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 1. Let r be m(5). Suppose 3*o + 3*p = -0*o, -2*p - 7 = -5*o. Solve -5 + o = -r*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35946372 and 12012.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 z when three letters picked without replacement from {z: 4, q: 1, h: 1, o: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100036252, -100036249, -100036244, -100036237, -100036228, -100036217?\nAnswer: -100036204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*m - 3*d + 15, m = -d + 21 - 52 + 22 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 519 (b) -0.008 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(9 - (-4 + 16)). What is the fourth biggest value in z, 2, -0.1, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 3. What is z(-15)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1615845 (base 9) to base 3\nAnswer: -1200112221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbwoiaibs. Give prob of picking 1 a and 1 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-24))\/(55\/66).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 10315052*j - 20630096.\nAnswer: -2*(j - 5157524)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/n)\/(n\/(((n*(n*n**(-6))\/n)\/n)\/n)*n)*((n\/(n*n*n**7*n)*n)\/n)\/(n\/((n\/(n**(-3\/13)\/n))\/n)) assuming n is positive.\nAnswer: n**(-153\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**3 - 68*k**2 + 280*k = 0.\nAnswer: 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -v - b, -4*v - 3*b - 52 = 2*b. Let j(p) = -3*p + 3. Calculate the remainder when j(v) is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-9)*v*v*v)\/v)**(-12))**43 assuming v is positive.\nAnswer: v**3612","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 4. Let i be u(0). Let t(d) = -403*d + 10. Let p be t(i). Let z = 6349\/4 + p. Calculate the common denominator of -79\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6889881, -13779802, -20669719, -27559632, -34449541, -41339446, -48229347?\n\"Answer: 2*u**2 - 6889927*u + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 726145103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 16 = -4*k, -g + 8 + 3 = 4*k. Suppose -k*u = -9 - 0. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131603112 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from szcbcbtcsucsczc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*w - 98497 + 237472 = 0, 0 = 4*w + 12. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15240 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2734225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 59. Let o(l) = l**2 - 7*l - 1. What is o(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**5 - 2158*o**3*t - 4*o**2*t - 3*o*t + 30*o + 2*t - 56 wrt o?\nAnswer: -20*o**3 - 12948*o*t - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -405 - -400. Let c be d\/3 - 112\/(-72)*-42. Is -67 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 12*y + 6*y)*((-2 + 0 - 1)*(2*y - 2*y - 2*y) + 3*y - 4*y + 2*y) - 3*y**2 + 0*y**2 + 5*y**2 to the form d*y + g + p*y**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 3*i - 15, 6*i - 11659 = 5*g - 11673 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 4*x. Let w(m) = -227*m + 1592. Let y be w(7). Calculate n(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9135075*v**5 + 154071285*v**4 - 744777402*v**3 + 262567830*v**2 + 3421428381*v + 2250876789 = 0. What is v?\nAnswer: -1, 10353\/1745, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15733672 rounded to the nearest one hundred thousand?\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/11)*o\/(o**(-1\/56)\/o)*(o\/o**(-3\/17))\/o*o\/o**(-3\/22) assuming o is positive.\nAnswer: o**(3517\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/540 + m**5 - 225*m**4 + 27000*m**3 - 7*m**2 - 6. Factor k(h).\nAnswer: -2*(h - 90)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.5 - 5.41. Let y = 4.2 + -4.7. What is the fourth smallest value in 2, 3, y, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/(-35) - (-15)\/25. Let y = 0.09 - -3.91. Let m = -4.04 + y. Put x, m, -0.5 in increasing order.\nAnswer: -0.5, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49580 - 498. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from mmkkmm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 29*z - 1. Let i(t) = -2667*t**2 - 58*t - 2900. Let p(n) = 2*b(n) - i(n). Find the first derivative of p(m) wrt m.\nAnswer: 5330*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 - 53*w - 133.\nAnswer: 8*w**3 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 6 + (24 - 0 - (194 + -174))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let u = 14 - 9. Suppose -5*l = 5*h - 12 - 3, h - 3 = 0. Let n(z) = u*z - z + l*z. Calculate t(n(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*w - 5*v, 36*w + 5*v - 62 = 12*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -708, -1086, -1158, -930, -408, 402, 1494, 2862?\n\"Answer: -u**3 + 159*u**2 - 848*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 + 1210300*k**2 - 7261955*k + 6051650 = 0. What is k?\nAnswer: -242066, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 117 = 30*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 12:08 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -189 - -210. What is the remainder when 124 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 7*q - 5. Let f be v(-6). Suppose -6*h + 3 = -129. Let n = f + h. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 16*t + 32. Let s be c(-14). Suppose s = -6*u - 2. Put u, -8, -4 in descending order.\nAnswer: u, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 15 = g. Let z = 61 + g. Suppose -2*j + 5*k + 4 = 1, k + 7 = z*j. Put j, -4, -5 in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 43353 - 43063 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 13*d + 2. Let v be r(-13). Suppose v*q - 11 + 73 = 0. Let u = q - -44. Is u bigger than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/66 and 1 - (-12)\/(-9) - (-302)\/12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1521 and 83317?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 + 44*d**2 - 160*d + 112 = 0.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 2775?\nAnswer: -2800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 857112 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2787.\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 29802970*d - 44*d**3 + 29802970*d.\nAnswer: -44*d**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -98. Which is smaller: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/5)\/(2\/5). Suppose -2*x - 10 = u*v + v, -2 = v + 5*x. Let z be (-1)\/v - 3204\/8. Round z to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p + 30. Let m be (-1)\/(-3 - p\/(-9)). What are the prime factors of m*(-2)\/9*39?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1279 + 2156. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15964, -51971, -87978, -123985, -159992?\n\"Answer: -36007*m + 20043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -19. Let m(q) = q**3 + q**2 + 4*q + 2. Let w be m(n). Solve 9*v + w = 11*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onlq when four letters picked without replacement from qaaqoaqnloqnqqonl.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:13 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 37. Let w(v) be the third derivative of 0*v - 1\/1848*v**8 + 0*v**f - 1\/660*v**6 + 2\/1155*v**7 + v**2 + 0*v**4 + 0 + 0*v**3. Factor w(z).\nAnswer: -2*z**3*(z - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110944649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 21. Calculate the remainder when 18 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12883*b = -12888*b + q - 15, b + 4*q - 18 = 0. Let j be 7\/4 - 4\/(-16). Suppose -w - 4*s - 16 = w, -j*w = -4*s - 16. Sort w, b, 5 in decreasing order.\nAnswer: 5, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010044 (base 5) to base 15.\nAnswer: 18519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 10*d**2 - 9*d - 1. Let i be x(9). Let t = i + 11\/10. What is the common denominator of t and -89\/58?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**5 + 3*b**4 + 3*b**3 - 3*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1\/10 (c) -82 (d) 0.9 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Suppose 3*j = -5*w + 274, g*j + 0*j + 2*w = 370. What is the remainder when j is divided by ((-2)\/1)\/((-3)\/36)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.00576 - -105. What is j rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 0*z + 2\/3*z**3 + 1\/24*z**4 + 0 + 10*z**2. Let q be h(-3). Solve -2*p + 5*l = 9, -p + 4*l - 5 - q = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -464 - -5122\/11. Factor 14\/11*x + c*x**2 + 4\/11 + 10\/11*x**3 + 2\/11*x**4.\nAnswer: 2*(x + 1)**3*(x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13103191.\nAnswer: 13103191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.1 + -10.9. Let t = v - -34.6. Which is the nearest to -2? (a) 0.3 (b) 2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (2 - -9 - (-19 + 7 + 10))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5 - 0. Let j = 8 + 6. Let r be (-4)\/12 - j\/(-6). What is the nearest to -2\/7 in -1, r, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7*w**3 - 4*w**2 - 10*w**2 + 14*w**2 + 22*w**3.\nAnswer: 15*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.142423 rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 6)*(-171*f**2 + 7*f**4 + 5*f**4 - 13*f**4).\nAnswer: -6*f**4 - 1026*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Suppose 4*w - 11 = -3. Suppose -w*l + 236 = -12. Let h(c) = -2*c**2 - l + 124. Determine k(h(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + ((sqrt(1539) + 0)*-1)**2*5.\nAnswer: 7693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.45 + -8.35. Let c = 8 + f. Let u be 6\/(-4)*(3 - (-3 - -4)). What is the third biggest value in c, -1, u, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.726 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*q + 12 - 23*q + 2)*(-5*q**4 + 2*q**4 + 4*q**4).\nAnswer: -q**5 + 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 26 = 3*q + 12, -14 = -5*q - i. Suppose o + 2*a + 14 = 6*o, 8 = 2*o - q*a. What is the smallest common multiple of o and -12*(1 - 6\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*g - 24477, 1296*g - 1301*g + 24491 = 3*d. Is 59 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h + 2. Let w be b(0). Let j(i) be the third derivative of 0*i**4 + 0*i - w*i**2 + 0*i**3 - 1\/30*i**5 + 0. Let q(u) = -4*u. Determine j(q(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.358 and -0.1.\nAnswer: 1.3358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 1. Let t(w) = 1 - 1 - 1 - 6 - 5*w - w**2. Let m be t(b). Is -1 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 4 + -2 + 1. Let c(n) = -4*n**i - n**3 + 8 - 6*n**2 + 8*n + 2*n**3. Let f be c(9). Which is greater: f or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*x - 57*x + 12. Solve 9 - 3 = x*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a - 2*a - 6*a + 1 + 4*a. Suppose -65 = -8*b + 95. Calculate the least common multiple of i(-1) and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/30*-6)\/((-12)\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4624.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9334 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 -1962 in 1\/3, -0.1, -558?\nAnswer: -558","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/63 - 44\/63. Let l be 2\/5 - (-9)\/(-10). Let m = -4.95 + -0.05. Which is the nearest to l? (a) 2 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 24. Let q(t) = 3*t - 1. Let u(a) = -3*a. Let d(p) = -8*p + 1. Let h(z) = -4*d(z) + 7*u(z). Let l(m) = -h(m) + 4*q(m). What is l(j(w))?\nAnswer: 2*w**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-16)\/(-6)*(-24)\/(-96)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + i**3 - 3*i**3 - i**3 + 2 - 2 + (0 - 2*i + 0)*(-2*i**2 + i**2 + 2*i**2) + (-321*i**2 + 511*i**2 - 343*i**2)*(1 + 1 - 3)*(i - 2*i + 3*i).\nAnswer: 302*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475816544.\nAnswer: 2, 7, 19, 111799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176526 = 162*t - 819126. What is the highest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**4\/12 - h**3\/2 - 3*h**2\/2 + 92*h. Give r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/126 + 54\/(-63).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 8*q**2 - 14*q + 10. Let w(y) be the third derivative of -y**5\/60 + y**4\/24 - y**3\/6 - 13*y**2. Let d(z) = -b(z) - 10*w(z). Factor d(o).\nAnswer: -2*o*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 21*w + 5. Let z be i(-22). Let m = z - 24. Is m at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 2:06 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/5 + 21906*w\/5 + 119968209\/5.\nAnswer: (w + 10953)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - o**2 + 5*o + 5. Let h(n) = n**3 + n + 1. Let t(m) = m**3 - 8*m**2 + 9*m - 9. Let a be t(7). Determine a*h(c) - k(c).\nAnswer: 2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2441 or -2439?\nAnswer: -2439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(1\/6). Suppose 47 = 4*l - c + 11, -40 = -4*l + g*c. Let a = 107 - 107. Solve 4*r + 4*z = -l, a = 5*r + 2*z - 3*z - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24193 divided by 1861?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8910*q**2 - 1978*q**2 + 19011*q**2 + q**3 + 9 - 2755*q**2 - 8.\nAnswer: q**3 + 23188*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 3*r + 2. Let v(u) = 6*u**2 + 10*u + 6. Let s(a) = -10*l(a) + 3*v(a). What is the derivative of s(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 35?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 3142 = -3*t - 25*q, 3*q = 3. What is the remainder when t is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9183647 minus -0.4217994?\nAnswer: 9183647.4217994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*n - 28*n - 3534 = -19*n + 1806 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -22. Suppose 0 = 3*j - 2*v - 42, 2*j - 33 = 3*v - m*v. Calculate the greatest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 166*b**2 + 62618*b\/7 - 71060\/7 = 0.\nAnswer: -55, 646\/581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (3 + -29 + 43).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-12)*12\/5. What is the hundreds digit of 3\/(18\/i) + 529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018952642 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -17*c - 105. Let l be m(-10). Which is greater: 62 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-3))\/(4\/(-18)). Let n be t\/(-9)*(-6)\/(-4). Let u = 1.1133 - 0.9133. Which is the third biggest value? (a) n (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14173235429.829948 + -14173168833. Let o = 66597 - x. Let m = o + -0.17. What is m rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 41 + 1\/1 + 0. Suppose -t + i = 3*u - 5*u, 3*u - t + 63 = 0. Let k = 22 - u. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 18*x**2 - 28 + 28*x + x**3 - 69*x. What is the tens digit of s(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39990222?\nAnswer: 2, 3, 17, 130687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/56*(-4)\/(-6). Let u(j) be the third derivative of 0*j + j**4 + w*j**5 - 12*j**2 + 0 + 2*j**3 + 1\/40*j**6. Factor u(x).\nAnswer: 3*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 83789, 83792, 83795, 83798, 83801, 83804?\n\"Answer: 3*l + 83786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -339*w**2 + 1019*w - 6.\nAnswer: -(w - 3)*(339*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 13 = v, 7*n - 10*n + 4*v - 23 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/27*(0 + 1 + 2). Let t be h\/(-2) + (-70)\/(-20). What is g in 0 + 3\/8*g + 3\/8*g**t - 3\/4*g**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 + -16. Let j = 182 + i. Let d = -37 + j. Is d a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000430012 rounded to seven decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62602190.\nAnswer: 2, 5, 7, 677, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2 - 2. Let s be (4\/(-14))\/(5\/(-35)). Suppose -4*a - 24 = 4*h, 3 = -h + s*h - 2*a. Put -1, h, r in descending order.\nAnswer: r, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 3*y**3 + 2 - 2*y - 4*y in the form v*y**2 + l*y**3 + i + t*y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 673461971 divided by 96208853?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 23. Suppose -2*u + 3*s = 0, 0*u - 5*s = 2*u - 16. What is the closest to -1\/2 in -6\/11, u, d?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p - 40. Suppose 0 = -2*o - 2, 2*z - 4*o = -0*z + p. Let y(i) = 2*i - 12. What is the remainder when y(z) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50292 is divided by 11635.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3042 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2310 and 150?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 7443*q**2 + 6*q.\nAnswer: -7443*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 91*p**4\/2 + 7*p**3\/3 + 8*p. Let v be o(16). What is v rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*(-5)\/14*-4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 - -15 - (-62 + -31 + 97).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41472.51187 take away -0.758?\nAnswer: -41471.75387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 - 183. Suppose 0*l + 3*l - 6 = 0. Suppose d*k + l*k = -2*h + 524, 655 = 5*k + 5*h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.635 + -486.365. Let l = q + 510.3. Round l to 0 decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 5*o, -k + 4*o + 4 = 3*k. Suppose -4*z + 3*u + 13 = 0, 0*z + 5*u - 13 = -2*z. Solve j - k = -z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 9*y**2 - 11*y - 6. Let p be g(7). Suppose 20 = -4*a - 4*t, -a - 4*t = -2*a + p. Let i(u) = 2*u**2 - u. Calculate i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/752845 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = u, 2*u - 21 - 111 = 4*m. Let t be -7*(3 - (-80)\/m - 2). Let i(d) = -d**3 + 8*d**2 + 12*d - 12. Determine i(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 4) + -6 - -3 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (4 - 7)) + 4\/(224\/(-518))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -520, 4, -3, 0 in ascending order.\nAnswer: -520, -25, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19960.\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -6. Let m = -6.1 - n. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 1 - (96\/(-45))\/1. Which is the nearest to -1\/51? (a) -0.2 (b) 5 (c) -3\/2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522 > 1522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 33 = 15. Suppose 0 = 4*t - 2*t - q. Suppose -t*a + 3*a = -18. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117379?\nAnswer: 107, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2775\/(-50) - 8)*-10 is divided by 248.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*q - 16 = 0, 0 = 2*d - 17*q + 18*q + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58, 5\/4, -4\/531, -2\/81?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(-8)*(-84224)\/(-1504)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225 + 0*z + 3578 - z + 5401 to the form w + q*z and give w.\nAnswer: 9204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 31512696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**3 + 7*g**2 + 6. Let o(l) = l**3 + l**2 + 1. Let h(b) = -b - 3. Let u be h(4). Let r = 6 + u. Determine r*q(k) + 6*o(k).\nAnswer: 2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*l**2 - 1052*l wrt l?\nAnswer: -440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xntyytxtyy. What is prob of picking 2 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/11 and -32\/1145353?\nAnswer: 1145353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 378.73 - 377. What is f rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.3. Let p = -18110\/17 - -1065. Let w = -95\/34 - p. Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -741 + 742. Which is the closest to -2\/19? (a) -4 (b) v (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000962425 rounded to 5 decimal places?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007739 rounded to 6 decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1017)*((-2014)\/159)\/38*18\nAnswer: -2\/339","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 + 50*m**4 - 85*m**3 + 40*m**2 = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -1760\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1188 + 1188. Solve 5*f + v + 6 = 0, 4*f - 8 = -4*v - a*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*p - 3472, -a + p + 4 = 696. Let t = 3557 + a. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 17186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -52 - 66. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134299\/6 > -22383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 161160*u + 173722*u as h*u + g and give h.\nAnswer: 12562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 2*a**4 - 7 + 2*a**3 - a**3 - 49*a + 27*a + 24*a as c*a**3 + m*a**4 + p + j*a**2 + l*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.02 (c) 0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -668.5 + 894. Let b = c + -234.69. What is b rounded to one decimal place?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 12*o**2 + 1 - 7)*(7*o - 3*o - 3*o)*(-2 + 5 - 2).\nAnswer: -12*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10*l - 7812 = -14*l, 19540 = -5*w + 5*l. What is w rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*w - 12036 = -63*w. Let z be 779\/(-3) - (-2)\/(-6). Let k = w - z. List the prime factors of k.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283966465 to the power of 1\/2, to the nearest integer?\nAnswer: 16851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 2, f: 1, s: 4, p: 2, d: 5}. What is prob of picking 1 v, 1 d, and 1 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, l: 1, j: 3, s: 5, i: 1, q: 4}. Give prob of sequence slsq.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**4\/4 + 4*w**2 + 693. Let q be p(-3). Factor 1\/3*k + 0 - 2\/3*k**2 + 1\/3*k**q.\nAnswer: k*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5 = 4*d - 4*r, -2545*d - r - 65 = -2559*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2002*l**2 + 684*l + 8172. Differentiate a(b) wrt b.\nAnswer: 4004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 194552 (c) -2 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 29 - (-2 + 0)) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 72, 153, 258, 393, 564, 777?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -5\/59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 0 + 1013*i**2 - 1012*i**2 + 3*i - 6. Let b be p(-5). What is the biggest value in -1.1, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -36*l + 32*l - 3 - l + 7*l. Let m(b) = -3*b + 3. Let o be m(2). Give s(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:10 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 2092 = 11405. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6 = -w, 4*w - 3*l = 3*w + 16. Suppose -t = -w - 5. Suppose 23 = 2*q - p, -4*q = -4*p - 73 + 21. Solve -b + q = -t*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 256 = 7*y. What is the remainder when y is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = s + 224, i - 2*s + 282 = -3*i. Let v = 121 + i. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130\/3 + 43. Let k = z + -31\/24. Let i = 7879 - 252201\/32. Find the common denominator of k and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76454468*h**2*v**3 - h**2 - 2*h*v**3 - 140942961*h*v**2 wrt v?\nAnswer: 458726808*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813606945 is divided by 2523?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 36. Let c be m(-10). Suppose -37*z + c = -34*z. Let d(a) = -a + 4*a**2 - 6*a**z - 2 + 3*a**2 - 3*a. What is d(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, m: 2, z: 7, j: 1, u: 1, s: 2}. Give prob of picking 1 h, 1 m, and 2 s.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2259, 9057, 20403, 36297?\nAnswer: 56739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 3*h - 8*h)*(1 + 2 - 1)*(-h + 0 + 0) in the form g + z*h**2 + o*h and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2. Let w(v) be the first derivative of 2*v**2 - 37*v + 335. What is n(w(q))?\nAnswer: -16*q**2 + 296*q - 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 - 6*k**2 + k**2)*(-2*k - k + 5*k) + (44 - 2 + 9)*(11 + 7 + 2*k**3 - 4) - 5*k**3 + 4*k**3 + 0*k**3 as d + a*k**3 + o*k + z*k**2 and give d.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 4. Let l be f(1). Let a(q) = q + 1. Let z be a(l). What is the third derivative of -4*x**2 - 6*x**2 + z*x**4 + 2*x**4 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14*(-65)\/(-273))\/(5\/9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - u**2 + u. Let r be o(1). Solve r*x + 3*q = x + 9, -3*q = 5*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h**(-2\/37)\/h)))\/h*((h**(2\/3)\/h)\/h*h)\/h)\/(h*h\/((h**0*h)\/h*h)*h*h**12*h) assuming h is positive.\nAnswer: h**(-1930\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -18?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -188\/21, 5.929, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/42 - 2\/7 and (-70)\/77 + 2639\/2310?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190309946 - 59.376?\nAnswer: -190310005.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000971 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.69152mg to grams.\nAnswer: 0.04369152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o. Let l(q) = 3*q**2 - 3*q**2 + 0*q**2 + 4*q**2. Give b(l(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25580 and 1383660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2\/15*v**4 - 2\/75*v**5 + 0*v**2 + 6 + 0*v - 8\/45*v**3. Solve s(h) = 0 for h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + (-2 + sqrt(243) + sqrt(243))*6 - (sqrt(243) + (sqrt(243) - (sqrt(243) + -2))*-4))*2*-5*3)**2.\nAnswer: -777600*sqrt(3) + 31507200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 4 + 82*z**3 - 38*z**3 - 45*z**3 + 3. Suppose 4 = -2*v, -5*b = -3*v - 1 + 5. Let u be d(b). Solve u*w + 9 = -2*r, 0 = 3*w - 7*w + r - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42.47577 meters?\nAnswer: 4247.577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086786\/13 bigger than 83598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00704998 rounded to five dps?\nAnswer: -0.00705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 + 8*j**4 - 13*j**3 - 26*j**2 + 64*j - 32.\nAnswer: -(j - 4)**2*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 9*m**4 - 17469*m**3\/2 - 61337*m**2\/2 - 12178*m + 2922 = 0?\nAnswer: -3, -2\/3, 1\/6, 974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3499187 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4286 * -0.12.\nAnswer: -514.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -126*s**2 + 15241*s + 604. Give o(121).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -21*q**2. Let p(c) = -1321*c + 1321*c + 2 + c**2. Let t(w) = -8*w**2 - 12. Let a(b) = -6*p(b) - t(b). What is a(z(d))?\nAnswer: 882*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 811 + -524. Suppose -9*t + q = -694. List the prime factors of t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-20) - 199793\/(-410) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 803 + -629. Which is greater: 175 or s?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 10:57 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16773 is divided by 2795.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00076679 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 470498109 to the power of 1\/2, to the nearest integer?\nAnswer: 21691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 6559*t - 98136. What is g(15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -488 + 15?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/3)\/(t\/(t*t**25)) assuming t is positive.\nAnswer: t**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9628 + 8772 = -8*v. What is v rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/4154875 and -33\/33239000?\nAnswer: 33239000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 0*r - 3\/4*r**4 + 1 + 0*r**2 + 0*r**3 + 1\/2*r**6 + 0*r**5. Factor z(k).\nAnswer: 3*k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-117))\/(27\/(-39)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqeegqxeqxqqqxeqfxfg. Give prob of picking 1 q and 1 x.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1844 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/8)\/(-96)*-4. Determine m so that f*m**3 + 0*m + 0 + 0*m**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/669 - -10154\/36795. What is the common denominator of n and -107\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 5*t**3\/3 - 9*t**2\/2 + 2*t. Calculate the remainder when o(7) is divided by (-4 - -28) + (-12)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -118?\nAnswer: 118.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343731368, 343731367, 343731366, 343731365, 343731364, 343731363?\nAnswer: 343731362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 181525292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 14*v + 6*v)*(4 - 18 - 3).\nAnswer: -391*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 56*s + 7. Let k be t(3). Suppose -k = -v + 124. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8971 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + 13*y**3 - 10*y**3 - 1 + y**2. Let b(z) = 43*z**3 - 4*z**2 + z + 28. Let t(i) = -b(i) - 4*k(i). What is the second derivative of t(x) wrt x?\nAnswer: -282*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.41 minus -0.5?\nAnswer: -2.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1 (b) 0.27 (c) 3 (d) 3\/7 (e) -729 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3332 and 1925046?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*q = -2*q - 44, -3*q + 24 = -r. Find the common denominator of (212\/50)\/((-24)\/(-30)) and (-7)\/14 + 131\/r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = k + 3 + 1, k - 2 = -3*u. Let j be 82\/(-1 - -2) + u + -2. Suppose h - 80 = j. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 2*i**3 + 2*i**3)*(-10*i - 28 + 28).\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158.4 - -111.3. Let s = x - -47. Which is the nearest to -1\/2? (a) 1 (b) -13 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*k + 1 - 5, 3*r = 3*k - 48. Let j = r - -14. Suppose 0*a = -j*a. Sort 2, -4, a in ascending order.\nAnswer: -4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 + -956\/7. Let k = 65 - 63. What is the third smallest value in 1, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 0*z**2 - 3*z**2)*(6*z - 23 + 23).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 - 3\/15. Let y = -253\/366 + 3\/122. What is the second biggest value in q, y, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -20*s - 40. Let m be y(-2). What is the second biggest value in 1\/3, 5, 13, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64427826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**8\/840 + p**5\/40 + 5*p**3\/3 + 4*p**2. Let o(h) be the first derivative of u(h). Find the second derivative of o(c) wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 793872152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*m - 15*m + 25*m - 22261 = 0 for m.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 46254*u**2 + 51245*u**2 + 6 - 4 + 0*u - u. Let t be x(-2). What is t rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552 and 113036?\nAnswer: 15598968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + 2.5. Let v = s + 1.2. Let j = v + -8.8. Round j to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:48 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 272\/50159?\nAnswer: 272\/50159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**5 + 7576*h**4 - 184364*h**3 - 451904*h**2 + 1426576*h - 797888 = 0.\nAnswer: -1918, -4, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3490)\/(-36) + 4088\/(-5256)*(-2)\/28.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/684 and 103\/912.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10021002 - 11?\nAnswer: -10021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 238 - 40. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9680*q - 667923. Determine s(-69).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -13*w**2\/2 + 1. Let t(s) = -s**2. What is b(t(g))?\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2816102 - 2?\nAnswer: -2816104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*(a\/a**11)\/a)\/a)**(-40)*a\/(a*a\/(a*a**(-15)))*a**(4\/5)*a)**(-37) assuming a is positive.\nAnswer: a**(-64158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1032\/(-84) + 14)*(216 + 1) and 4.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*i, 4*z + 0 = -4*i + 20. Let n(c) = 4*c. Let d(b) = -b. What is z*n(o) + 2*d(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*q**2 - 77*q + 6.\nAnswer: (q - 3)*(25*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-54))\/(-646*53\/(-10812))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141 + -100. Let u = -45 + d. What is the second smallest value in 3, 12, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o. Let k(g) be the third derivative of 0*g**3 + 0*g - 1\/15*g**5 - 6*g**2 + 0 + 0*g**4. Determine k(w(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0\/2)\/2)\/1. Suppose l = -4*o - t - 2 - 7, 3*o - 3*t = 12. Let q = 2167\/20 + -543\/5. What is the third smallest value in o, q, -7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -42\/19, 95350, -1\/2 in decreasing order.\nAnswer: 95350, -1\/3, -1\/2, -42\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 265\/(-212)*(-48)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(104) + -1*sqrt(104)) - sqrt(104) - sqrt(104))\/(sqrt(8) + 5*sqrt(8)*2 + sqrt(8))*-6 + 4.\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 + 11*i**2 - i + 7. Let q(y) = -2*y**3 - 10*y**2 + 2*y - 6. Let s = -4 - -8. Suppose -2 = s*m + 14. Let t(z) = m*f(z) - 5*q(z). Solve t(l) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + 49\/3. Suppose -d - 3*w + n = -3, -w + 20 = 3*d. Suppose 0 = -5*o + d. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 15 + a - 25*a - 53. Let k be f(-5). Suppose 2*v - k = 35. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/3*(-34)\/(-28) and 357\/(-51) + (-452)\/16*-2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*h**3*y - h**3 - 263 with respect to y.\nAnswer: -42*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:46 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from dtlsb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -31 + 8 + 11 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (131*y**2 - 69*y**2 - 77*y**2)*(0*y - 12*y + 11*y) to s + u*y**3 + q*y + i*y**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480199 is divided by 4106.\nAnswer: 3903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4, -9*m + 4*m + 64 = -4*q. Let o(b) = b. Is 3 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (33\/2)\/(-27 + 6). Let v = l + 2\/7. Let w = 412\/5 - 414\/5. What is the nearest to 1 in v, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*f - 127. Let j = f + -27. Suppose j*u - 512 = -22. Is 49 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/15*5*-2*1. Let r(x) = 270*x**2 - 7*x - 8. Let j be r(u). What is j rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/((-1015)\/2562))\/((-879)\/(-1465))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*l + 438 = 0, 4*l = 5*a + 7*l - 1109. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 26. Let m be t(-13). Suppose m = 12*k - 13*k + 3. Calculate the least common multiple of 2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6210 = 4*o, -6*w - 2*o = -2*w - 24768. List the prime factors of w.\nAnswer: 2, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133648*u**6 + 2*u**4 - 6*u**3 + 24*u**2 - 15413*u - 1?\nAnswer: 16037760*u**3 + 48*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 13*w - 50. Suppose -2054 = -w*m - 2*z, -5*z = m - z - 1033. What are the prime factors of m?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28947 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9918103 microseconds to nanoseconds.\nAnswer: 991.8103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 461190623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Let p = -5 - -12. Let a = p - 29\/4. What is the third biggest value in m, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 1 + 11. Solve -i*l - 25 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*y + 99. Let t = y + -72. Let z = t + 60. 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 prob of picking 1 l, 1 o, 1 t, and 1 s when four letters picked without replacement from {g: 1, t: 2, o: 1, z: 2, l: 1, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 898 a factor of 1084988959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -42030000 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20040 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**2 - f - 3. Let z(m) = -4*m**2 + m + 1. What is 3*c(x) + 7*z(x)?\nAnswer: -x**2 + 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9670 is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 731888225993\/18768 + -38996602. Let k = z - 1\/391. Find the common denominator of k and 61\/22.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v**3 + v**2 + 2*v - 2. Let p be m(1). Let n be 9\/p + (-17)\/(-5). Solve n = -0*g + g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/3, 146, -2.45, 1\/5, -0.4?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) -9\/4 (b) 1\/4 (c) 19 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3673 + 1517 = 0. Let r = -2221078 - p. Round r to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ab126 - 4?\nAnswer: -1ab12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*o = 6*k - 63, 2*k - 47 = -3*o. Let j = -11 + k. What is the remainder when 23 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2\/7*t**4 + 0 + 2*t**3 + 24\/7*t + 32\/7*t**2 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-6 - -4) + 0. Suppose 2*l + r*l = 26. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)\/o*o*(((o*o**(-3\/2))\/o*o)\/o)\/o*((o\/(o**13*o))\/o)\/(o*o**(-2\/13)) assuming o is positive.\nAnswer: o**(-503\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1220420145 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -53*i + 57*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-22 - -10)\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.2 + -58. Let g = 1 - -8. Let f be (-4)\/(-10) + g\/(-10). What is the second biggest value in p, f, -5\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2225 + 15539\/7. Let w = 5351\/4895 - 1\/445. What is the common denominator of r and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 10, 119, 4 in increasing order.\nAnswer: -5, 0, 4, 10, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -848852 divided by 424426\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/49 - (-160)\/(-14). Let p = n - -25. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4525.\nAnswer: 1\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*o + 18, 0*o - 3*b + 66 = 5*o. Suppose 11*v - o*v = -97. What are the prime factors of v?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 - 4524\/26 - 472\/17\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 936618*i**4 + 6*i**3 - i - 503356978?\nAnswer: 3746472*i**3 + 18*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11462695901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 - -0.63. Let g = -18.807 - -19.5933. Let j = g - p. Round j to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + 6*-3*sqrt(243)))**2.\nAnswer: 58320*sqrt(3) + 2835252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526332839.\nAnswer: 79, 379, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009963 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Suppose 0 = 5*k + c*k - 98. Is 1 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1.1, -3\/8, 0.05?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(720) + sqrt(720) - 3*sqrt(45)*2)\/(-4*sqrt(36)\/sqrt(4) - sqrt(18)\/sqrt(8)))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16423214629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -1 - 6. Let d(s) = s**2 - 6*s - 1. Is 6 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1918 + -970. What are the prime factors of d?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6 = 4*s, 0 = -k - s + 16 - 10. Suppose 2*d = 5*o - 1092, 3*o - d - 664 = -k*d. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601 times -44.551?\nAnswer: 26775.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {i: 8, o: 2, q: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13523*f - 13523*f + 12*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvjvww. What is prob of sequence wvdj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 26 + 24. Let f be ((-5 - d\/(-2)) + 0)\/3. Factor -4\/15 + f*m**2 - 2\/5*m + 2\/15*m**3.\nAnswer: 2*(m - 2)*(m + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*w - 5*w - 2*w + (3 - 5 + 1)*(-3*w + w + 0*w) + 1 + 2*w - 1)*(-2 + 4 - 3) as y*w + h and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**7\/4200 - i**5\/150 - 19*i**3\/6 + 19*i. Let j(m) be the second derivative of q(m). Find b such that j(b) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-12)\/90*(-22)\/(1188\/2727)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -104 - 65) + -23.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6337849 is divided by 172.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32\/579601 (b) -6\/5 (c) 1\/6 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 3216 in descending order.\nAnswer: 3216, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 4*y**2 - 4*y - 3. Let m be 6\/(-3)*1 - -7. Let b be n(m). What is the second derivative of -2*j - 3*j**4 - b*j**4 + 7*j**4 wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19934, -79765, -179496, -319139, -498706, -718209, -977660, -1277071?\nAnswer: -1616454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**1*s))\/s**(-2\/3))**(-28) assuming s is positive.\nAnswer: s**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 22447.\nAnswer: 13\/22447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -48\/13, 3, -1, 11, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ambddeo. What is prob of sequence dbd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198.9559 - -43.1811. Let t = u - 293.1542. Let z = t - -51. Round z to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1 + (-18)\/(-21)). Let r be (-1023)\/(-77) - (-4)\/q. Let o(l) = l**2 - 13*l + 2. Calculate the remainder when 6 is divided by o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039728515 rounded to six dps?\nAnswer: -0.003973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17948, 71694, 161270, 286676, 447912?\nAnswer: 644978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)\/((y\/(y\/(y\/(y\/y**(-6))*y)))\/y))\/(y**(2\/7)*y)**(-1\/35)*((y*y**(-5\/3)*y)\/y*y**(4\/7)\/y)**(-13\/3) assuming y is positive.\nAnswer: y**(22306\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 6*f**2 - 5*f + 2. Let l be s(4). Suppose 5*b - 2*k - 181 = -l, 4*b = -3*k + 152. What are the prime factors of (b\/(-15))\/((-2)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16500*q**2*z**4 - 2*q**2*z**3 - 2*q**2*z - 34*q**2 - 18*z**2 - 7 wrt z?\nAnswer: 396000*q**2*z - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/11, -304, -2073 in increasing order.\nAnswer: -2073, -304, -2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, f: 5, x: 1, e: 2}. Give prob of sequence fte.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9700 + -216?\nAnswer: 94b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -4\/11, -0.3, 2\/7, -2\/7?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -3, 8.\nAnswer: -3, 1, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = -2*f - 5*k, -8*k - 20 = -4*k. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 2, a: 2, c: 1}. What is prob of sequence ad?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -66*l - 393. Let d be k(-6). Put 1\/2, d, 5, -1\/17 in ascending order.\nAnswer: -1\/17, 1\/2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/9 (b) -26 (c) -2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 35 = -3*v, -h + 1 = -v - 9. Let l(u) = -3*u + 7. Let r(i) = -i + 3. Suppose -6 = -944*o + 947*o. Calculate h*r(k) + o*l(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 13, -1\/2, -1\/6 in decreasing order.\nAnswer: 13, -2\/27, -1\/6, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7979 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 38. Calculate t(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 divided by -17?\nAnswer: -181\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/4 - 263*x**4 + 364309*x**3\/4 - 20948221*x**2\/2 + 20676040*x - 10292744 = 0. Calculate x.\nAnswer: 1, 308, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29282959 rounded to 3 decimal places?\nAnswer: 0.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073596 less than 6532?\nAnswer: 6531.926404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = -51*k + 13386. Let d = 5 + -92. Let x = k + d. List the prime factors of x.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-14\/5)*i)\/(i\/(i*(i**9*i)\/i*i)))**41*i\/i**(2\/9)*i**(1\/2)*(i**(-4\/7)\/i)\/i*i**(-4) assuming i is positive.\nAnswer: i**(208471\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 12600322600 to the nearest 1000000.\nAnswer: 12600000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylll when four letters picked without replacement from {y: 1, l: 19}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 871727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c + 22*c + 60*c = 222 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -36.109676595882.\nAnswer: -36.609676595882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -229520 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*r - 233450 = -51*r + 57*r. What is the least common multiple of r and 10?\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0295 + -1.1705. Let z = -0.08 + -0.12. Let d = z - q. Are d and 1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3) + (-6)\/(-9). Let n be (-13 - -6 - -6)*2\/(-6). Factor -2\/3*z + 1\/3*z**b + n.\nAnswer: (z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2219 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 51511560 divided by 5\nAnswer: 10302312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgddbddgddbb. What is prob of picking 2 d?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 915, 3099, 7353, 14367, 24831?\nAnswer: 39435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from iiiiiiiijijjpiiii?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/7)\/(f\/(f\/(f\/f**(-2)*f))))**40)**(-17\/5) assuming f is positive.\nAnswer: f**(3672\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960036 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -3)\/(3\/1). Let p be 29\/4 + 36\/48. Suppose x + 4*x + 3 = -3*j, -4*x - p = j. Solve u = j*w + 3*z - z + 20, -5*w = -5*z + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1901037678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -1 - 14. Suppose 22 = k + q*n, -k - n + 36 - 12 = 0. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, -67, -149, -213, -229, -167, 3, 311?\n\"Answer: 5*h**3 - 36*h**2 + 3*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 21 = -4*q. Let c = 8785 + -8684. Calculate the remainder when c is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f**2 + f - 2. Let p(h) = h - 1. Let a(i) = -8*i + 2. Let s(x) = -a(x) - 6*p(x). Let o be s(-3). What is the tens digit of r(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-4)\/8*0. Suppose 5*d - 3 + 8 = k. Let a(f) = -2*f + 1. Let q be a(d). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220470 is divided by 640.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.22 + -14.43. Let v = 43 - 60. Let m = v - q. What is m rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11904 and 10551408?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -483, -471, -459, -447, -435, -423?\n\"Answer: 12*l - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + -50. Suppose -3*g - m*x + 60 = 0, -7*g + 4*g = -x - 60. Solve -16 = -z - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492602.\nAnswer: 2, 3, 19, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11320 (base 5) to base 9\nAnswer: -1127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -q - 9 - 1, -2*q - 4*k = -20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -45146.58 and 0.07?\nAnswer: 45146.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z**2. Let m(l) = -7*l**2 - 156 + 156. Let j(k) = 5*m(k) + 3*r(k). Let d be j(-1). Solve 3*t - d = -2*s + 9, -4*t + s + 14 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 679413.7 kilometers?\nAnswer: 67941370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by 9.\nAnswer: -124\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 4 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d**3 + 0*d - 1\/12*d**4 - d**2 + 0. Let l(i) = 60*i - 40. Let t(y) = 2*y - 2. Let c(w) = l(w) - 20*t(w). What is r(c(u))?\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 1\/5 (b) -2\/23 (c) 6 (d) -5 (e) 14 (f) -22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6124274713 to the power of 1\/3, to the nearest integer?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**19*b**19*(b*b**(2\/7)\/b)**(8\/11))**(11\/2) assuming b is positive.\nAnswer: b**(1471\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -459, -687, -915, -1143, -1371?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t - 150. Let u = -32 - t. Let x = -3\/2 - -7\/6. Which is greater: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 15. Let k be u(5). Let q be (0 + (40\/(-275))\/(-4))*k. Which is the nearest to -3\/4? (a) 3 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1367 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 = 3*a, -4*a - 5 = a + 3*o. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-14) - (162\/(-4))\/27\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9768567 years in centuries?\nAnswer: 0.009768567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/5 - 17126*m**2\/5 - 3844192*m - 5228212608\/5 = 0.\nAnswer: -536, 18198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8762)\/13143)\/((22\/(-7))\/((-3)\/7)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -0.172, 4 in increasing order.\nAnswer: -0.172, 0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1137592 litres in millilitres?\nAnswer: 113.7592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -bb9 (base 15) to base 16\nAnswer: -a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86.285 - 6.645. What is w rounded to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9*i - 208 = 0. Suppose -2*p + 32 = 2*x, -2*x + 3*p + i = p. Calculate the highest common factor of 189 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = x, -2*i - 2*i + 4 = 0. Let q(y) = -2. Let l(g) = -g + 3. Let n(c) = x*l(c) + 5*q(c). What is n(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84142?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1164715, 2329293, 3493869, 4658443, 5823015?\nAnswer: 6987585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58 + -1e?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4, 27, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 15*b + 9. Let u = 4 - -6. Is i(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 10\/9*m - 2\/9*m**4 + 14\/9*m**2 - 10\/9*m**3 - 4\/3 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1.1, -19, 7 in decreasing order.\nAnswer: 7, -1\/4, -1.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-40))\/((-4)\/32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17476 divided by 1028\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 16*d = -12. Let p be (-11595)\/d*-2*(-72)\/(-15). Suppose -s = -p + 3357. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-5.1.\nAnswer: 66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*i + 32. Suppose 0 = 36*s - i*s. Solve -2*l = -3*x - 0*x + 2, s = x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4321 (base 8) in base 15?\nAnswer: a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + b + 0*b - b. Let a(c) = -19*c + 69. Let w(t) = -7*t + 22. Let f(g) = -4*a(g) + 11*w(g). Determine j(f(z)).\nAnswer: z**2 + 68*z + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*g - 7740 = -556 + 145. What is the nearest to g in 4, -11, 0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-4)*(1 - -3). Let g = 8 - c. Let n = g - -4. Are -1\/6 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.13 rounded to 1 dp?\nAnswer: 29.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/10)\/((-3)\/10). Let y(u) = -7*u - 5. Let j(s) = -6*s - 4. Let p(z) = i*y(z) + 5*j(z). Let m(b) = -b. What is p(m(v))?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 4. Suppose -8*r + 122 = -a*r. Let j(u) = u**3 - 6*u**2 + 4*u - 8. What is the remainder when r is divided by j(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-44 - 485240\/(-11088)) + 2\/11).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4212, -4135, -4034, -3915, -3784, -3647, -3510, -3379?\n\"Answer: -k**3 + 18*k**2 + 30*k - 4259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 981708 and 91298844.\nAnswer: 91298844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-18 - (1 + -11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-153065)\/5324 - 1*-8 - -22\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(6\/13)\/k**(-4\/7) assuming k is positive.\nAnswer: k**(94\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 4*d + 0*d + 0*d to the form y*d + p and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.06 (b) -0.222 (c) -30 (d) 0.1 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*q = -5*q + 15, 15*y + 6*q - 30 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34947*n**3 - 10341*n**5 - 1656*n**2 + 34947*n**3 wrt n?\nAnswer: -620460*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = -3. Let z(y) = y**2 - 3*y - 2. Calculate the least common multiple of z(-3) and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4551 (base 7) in base 12?\nAnswer: -b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, 0, -5, -22, -57, -116, -205, -330?\n\"Answer: -a**3 + 3*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-5)\/(-3))\/(-1) + (-2850)\/(-225). Let u(g) be the second derivative of 1\/2*g**2 + 11\/6*g**3 + 0 + b*g. Determine u(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233627.\nAnswer: 307, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**4\/4 - n**3\/6 + n**2\/2 - n + 12. Let o(m) = -2*m**2 - m + 1. Calculate 4*o(r) - 3*v(r).\nAnswer: r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.89 - -34. Let a = m + 15.7. Round a to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + (-24 - -22)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.40632 litres in millilitres?\nAnswer: 50406.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z**2 - 2*z - 4382. Let u(x) = 3*x. What is u(v(a))?\nAnswer: -45*a**2 - 6*a - 13146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:06 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11)*((q*q*q**(-9)*q)\/q*q*q)\/q)**38*q**(-3\/5)\/q**(5\/6)*(q**(4\/11)\/q)\/q**(-5\/3) assuming q is positive.\nAnswer: q**(-213313\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9129, 3, 13 in ascending order.\nAnswer: 3, 13, 9129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/4, 3, 2\/17, 10?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 0.2 (c) 5 (d) 1\/2 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*x**2 - 4*d**3*x + 109*d**3 + 1548*d**2*x**2 + x**2 wrt x?\nAnswer: 2*d**3 + 3096*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 0.5 (c) -4 (d) -1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59644\/9 - -6627. Do x and -0.12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 + 6*x**2 + 25*x**2)*(3 + 1 - 5)*(2*x**2 - 5 + 5) to the form s + f*x**4 + h*x**3 + d*x + n*x**2 and give f.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91727339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4950 and 71874.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*q**2 - 6 + 262*q**2 - 137*q**2 + 4*q**4 as c + y*q**3 + b*q**4 + p*q + t*q**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1966353*x**3 - 4508218.\nAnswer: -5899059*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1115 + 20?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12139281 and 33?\nAnswer: 12139281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p - 2*p + p)*(-47*p - 59*p + 3*p).\nAnswer: -1133*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198370\/101 or 1963?\nAnswer: 1963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/7, 6613, 3 in decreasing order.\nAnswer: 6613, 27\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 5*j**2 + 16*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1580747 hours in nanoseconds?\nAnswer: 569068920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2 - 6*s + 2*s**3 - 23*s**3 + 8*s**2 + 20*s**3. Determine r(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by ((-13)\/(52\/72))\/(30\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39338 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/h**(8\/7))\/h)\/h*h)\/h**8)\/(h**(-20)*h*h*h**(-3)))**(-48) assuming h is positive.\nAnswer: h**(-3984\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13229 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: Which is the fifth biggest value? (a) 3 (b) -0.05 (c) 0.11 (d) 60 (e) 5 (f) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.15701 and 0.1.\nAnswer: 12.25701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6579160 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9174*-1896.\nAnswer: 17393904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*6\/(-18)*(-2)\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 27. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 8:35 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1023 - 310*m + 5*m**3 + 742 - 3*m**3 - 27*m**2. Let z(d) = -d**3 + 9*d**2 + 104*d + 94. Let o(r) = 2*j(r) + 7*z(r). Factor o(h).\nAnswer: -3*(h - 8)*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 927943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44341*q**5 - 17577*q.\nAnswer: -886820*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*j - 76*j + 501*j + 1200 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028773 to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21559938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + r**2 - 9*r - 430. What is d(0)?\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) 1\/4 (c) 3\/2 (d) 10.7621\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1693807, 3387606, 5081409, 6775216, 8469027, 10162842?\n\"Answer: 2*m**2 + 1693793*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16 + (3 - 0))*-1. Suppose o = -m + 56. What is the remainder when 142 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 0.2, -84, -0.04 in decreasing order.\nAnswer: 24, 0.2, -0.04, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -26 (c) 4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -4*z + k - 0*k, k = 3*z - 97. Suppose -15*m + z = -117. Let n(y) = -6*y + 5 - m*y - y**2 + 17*y. What is n(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 9) to base 10\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 3707, 14093, 34737, 69059, 120479, 192417, 288293?\nAnswer: 411527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 - 24*v**3 - 4138*v**2 - 16200*v - 12087 = 0 for v.\nAnswer: -51, -3, -1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54392*t**4 - t**3 - 502*t**2 - 3*t - 4863909 wrt t?\nAnswer: 652704*t**2 - 6*t - 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 1)*(0*c**3 + c**4 - 3*c**4 - 2*c**3).\nAnswer: -8*c**4 - 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b. Let t(r) be the first derivative of 6 + 1\/24*r**4 + 0*r**3 + 1\/2*r**2 + 0*r. Let v(o) be the second derivative of t(o). What is w(v(q))?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -21*v - 12*v + 11*v. Let s(x) = -2*x. Determine s(j(q)).\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -239229, -239230, -239231, -239232?\n\"Answer: -w - 239228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*t - 11, 3*l + 0*l + 2*t = 0. Let b be 3276\/(-90) + l\/(-5). Let r be b\/12*(-38)\/6. What is the greatest common divisor of 95 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.196066 - 0.2022. Round x to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35038, -70075, -105108, -140137, -175162, -210183?\n\"Answer: 2*z**2 - 35043*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 524*i - 645456.\nAnswer: 2*(i - 452)*(i + 714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65839507 to the power of 1\/2, to the nearest integer?\nAnswer: 8114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 189789 (b) 3\/7 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(36)*3)\/((sqrt(98) - (sqrt(98) - -4*sqrt(98)*1)) + sqrt(98) + sqrt(98)*1*-6))**2.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppypypppppp. What is prob of sequence py?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -13. Let g = -0.7 + -2.1. Let i = 0.2 - g. Which is the biggest value? (a) i (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1))**38*(b\/(b\/(b\/(b*b**(-1\/4)))))**7)\/((b**1*b)**0)**(12\/11) assuming b is positive.\nAnswer: b**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -153 - -226. Suppose 0 = 60*x - h*x + 10868. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 8, 0, 4\/5, -3.602, 5 in increasing order.\nAnswer: -3.602, -2\/17, 0, 4\/5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 5:46 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -4.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = -4*t - 380. Solve 0 = -5*i - 0*i - t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u - 38. Let x be j(-4). Solve -g + 3 = -x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57724 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2561118 and -109\/5908.\nAnswer: 5122236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 14*m - 13*m + 58, -m = 4*g + 241. Which is smaller: g or -59?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 at most as big as -329\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/61425 and 1\/4200.\nAnswer: 491400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + 1*sqrt(3))*6.\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q + 20*q + 3*l + 116, 4*l = -5*q - 304. Is -63 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65721, 2, -5 in ascending order.\nAnswer: -5, 2, 65721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11462726237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 5)*(-3 - 3 + 4)*(x**3 + 0*x**3 + x**3) as c*x**3 + y*x + p + o*x**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(-5*(sqrt(605) + 2*sqrt(605)) - sqrt(605)) - (-5 + 2*sqrt(605) + -4))**2.\nAnswer: 18612*sqrt(5) + 5345861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30512, 30544, 30576, 30608, 30640?\nAnswer: 30672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + k + 20 = -4, -3*n + 13 = -2*k. Let h be ((-3)\/5)\/(7\/n). What is the second smallest value in -0.3, -2, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:39 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.94 + -0.06. Let d(r) = r**2 - 5*r - 5. Let l be d(-2). Suppose l = -60*n + 57*n. What is the third biggest value in n, 0.4, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2 - f + 4. Let c(s) = -5*s**2 - 2. Let v(g) = 5*c(g) + 3*q(g). Let m(h) = h - 1. Let y be (-7 + 8)*(-2)\/(-2). Calculate y*m(l) + v(l).\nAnswer: 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 6*o - 1. Let b be t(6). Let n = b - -1. Suppose 4*z - 5*z = n. Solve 2*a = -4*m - 2, -m + 3*a + z = 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**3 + 13*h**3 - 2*h**3 - 2*h + h**2 - 4*h**3 + 2 as n*h**3 + u + z*h**2 + m*h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 3:43 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from muummmummuumummmumm?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.063263 to 2 dps.\nAnswer: 15.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 65872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + 5*d. Let y(m) = 4*m**2 + 4*m - 1. Let z(t) = -5*o(t) + 6*y(t). Suppose 4*r = -16, -5*g + 10 = -4*r - 6. Give z(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236*o**2 + 21*o**3 + 17*o**3 - 224*o**2 wrt o?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in -0.3, -2, 257, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/((-72)\/54)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856173.2 tonnes to micrograms.\nAnswer: 856173200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + (-1*sqrt(171) - sqrt(171))))\/(sqrt(45)\/(sqrt(20) + sqrt(5) - sqrt(5))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Let p = 0.98 + 7.02. Which is bigger: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936937198?\nAnswer: 2, 47, 1033, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d**3\/17 + 2354*d**2\/17 - 14764*d\/17 + 624\/17 = 0. Calculate d.\nAnswer: 2\/47, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -632*0.13754\nAnswer: -86.92528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/12 - l**3\/3 + l**2 - 2. Let o(h) be the second derivative of c(h). List the prime factors of o(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - g - g)*(2*g - 1 + 1 + (-9 + 2 + 1)*(0*g + 2*g - g)) as u + r*g**2 + x*g and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1279560634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 766589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 446982.3 kilometers in millimeters?\nAnswer: 446982300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194.5 + -372. Let x = i + 177.4267. What is x rounded to three decimal places?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222972 divided by -37162.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4 - 14, -2 = -j + f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 2*w**2 + 5*w. Let s(k) = 56*k - 219. Let z be s(4). Let r(u) = -6*u - 3*u**3 - 3*u**3 + 5*u**3 - 2*u**2. Give z*r(d) + 6*o(d).\nAnswer: d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -20. Let c(a) = -a**3 - 5*a**2 + 2*a - 12. Let t(p) = -p**3 - 23*p**2 - 44*p + 5. What is the remainder when t(-21) is divided by c(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 12 + 2*g - 38 - 13*g. What are the prime factors of r(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7163, -14245, -21327, -28409, -35491?\n\"Answer: -7082*b - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 891 = 5*s. What is the tens digit of (-17)\/(-51)*s\/(-2)*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqgsqgssq. What is prob of picking 2 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -3)*20\/(-200)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21472, -42947, -64422?\nAnswer: -85897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a**2\/a))\/a*a)**(-2\/9)*(a*(a\/a**(-1))\/a)**(-3\/38) assuming a is positive.\nAnswer: a**(-65\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*l**3 - 92\/9*l + 2\/9*l**5 + 0 + 86\/9*l**4 + 274\/9*l**2 = 0. Calculate l.\nAnswer: -46, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -15. Solve 0 = -t*f - 5 + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266523573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-152)\/(-20) - (-6)\/(-10). Suppose 0 = -j*d + 2*d + 30. Let f(m) = 2*m - 5. What are the prime factors of f(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -71 - 28?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 11. Which is the biggest value? (a) j (b) -2\/7 (c) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-2\/33)\/x)*x\/(x*x**(22\/3)) assuming x is positive.\nAnswer: x**(-58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 103618116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17741 + 17853. Sort 2, w, -5, -12, -1 in ascending order.\nAnswer: -12, -5, -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*s**3*v**2 - 403*b*s**2 + 2*b*s + 290*b*v + 1618*b + s**3 + 7*s + 173269*v**2 wrt v.\nAnswer: 4*b*s**3*v + 290*b + 346538*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 354099400 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:11 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 2*o + 5. Let c(i) = 2*i**3 - 3*i - 6. Determine -4*c(s) - 5*g(s).\nAnswer: 2*s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 44*c - 14. Let f(a) = 9*a - 3. Determine -14*f(q) + 3*j(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 271540099 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(19) + -2 + sqrt(76))**2.\nAnswer: 12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 + 106*g - 564. Let a be n(6). Put 16, -2, a, 4, 2 in ascending order.\nAnswer: -2, a, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 64*v + 8*v**3 + 17 - 7*v**2 - 28*v - 5*v**2 - 31*v. Let p be f(6). Let s = p - 846. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.6 + 53843075.91?\nAnswer: 53843108.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let h(c) = 3*c**2 - 2*c + 1. Let n be h(1). Suppose n = 2*g - g. Let u(b) = 6*b**2 + 2 - 2 - 4*b**g. Give l(u(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a centimeter in millimeters?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 78592?\nAnswer: -5\/78592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/8*12\/(-9))\/((66\/(-48))\/(-11)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -29 (b) -5 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85204 and 28.\nAnswer: 85204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1400*v - 68576. Let i be l(49). Suppose 0 = 4*r - 5*r + 23. Solve -i*s + r*s = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77367 take away 0.06?\nAnswer: 77366.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*p**4 - 32*p**4 - 24 + p - 34 + 22*p**4 as n + r*p**2 + b*p**4 + c*p + u*p**3 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103420446.\nAnswer: 2, 3, 71, 103, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 68544 = 3*a, -16*a = -17*a + 5*l + 22788. What are the prime factors of a?\nAnswer: 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*l + 10 = 0, 5*t - 4*l + 2*l + 4 = 0. Let u = 10 - 9. Suppose -2*m = 3*m + 2*i + 10, -2*m + 7 = 3*i. Put u, m, t in increasing order.\nAnswer: m, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from {m: 2, o: 1, t: 1, q: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -155, -339, -597, -929, -1335?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, -8, 2, -1\/22, -5 in descending order.\nAnswer: 4, 2, -1\/22, -5, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + (sqrt(288) + 0 + sqrt(288) - (-4 + sqrt(8))) + -3 + (1*sqrt(128) - sqrt(2) - sqrt(2) - (sqrt(2) + -1*(0 + sqrt(2))))))**2.\nAnswer: -224*sqrt(2) + 6276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 190957 (base 12) in base 8?\nAnswer: 1525123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 265.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.470298 and 16443.\nAnswer: 16443.470298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nineteen quarters of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2. Let x(f) be the second derivative of 5*f**4\/12 + 9*f. Let z = -20 + 13. Let g(h) = 4*h**2. Let o(s) = z*g(s) + 6*x(s). What is r(o(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*d**3 - 41612*d**2 - 84896*d - 4944 = 0. Calculate d.\nAnswer: -206, -2, -3\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 1325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*l + 14254 - 88339 = -162*l. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, -63, 3, -5, 4 in ascending order.\nAnswer: -63, -5, 3, 4, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115191 divided by 7?\nAnswer: 159313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 14*m. Let w(l) = 23*l - 1259. Give z(w(o)).\nAnswer: 322*o - 17626","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736325.\nAnswer: 5, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((20 - -76) + -127).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b + 4351445*b**3 + 5907899*b**3 - 15*b.\nAnswer: 10259344*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 24. Determine o(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -18042 = -193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2\/7 + 45336*a\/7 + 171279408\/7 = 0?\nAnswer: -7556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1))**(-8\/13))**(3\/4))**(-14) assuming g is positive.\nAnswer: g**(-84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 44. Let b(l) = 4*l. What is the least common multiple of b(5) and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 6:14 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-194)\/(-97))\/(1\/13).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 less than -93698?\nAnswer: -94010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 12, 65 in descending order.\nAnswer: 65, 12, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6471 - 215. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, q: 5}. Give prob of sequence qrq.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*6\/((-39)\/13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5191720 + 5191720 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2454 minus -36635808?\nAnswer: 36635807.7546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219880222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 9, 10, 4, -609 in decreasing order.\nAnswer: 11, 10, 9, 4, -609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 6. Let o be 55\/(-110) - (-142)\/4. Let p = o + b. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*x - 101*x - 105*x + 491*x - 90*x - 103*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3519)\/918 + 1\/(-6). Sort 208, b, 3, -5, 5.\nAnswer: -5, b, 3, 5, 208","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -3\/8 (c) 5 (d) -6 (e) 6\/11 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -882.\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4)*(-1)\/(-3). Let x(n) = 1 + 3*n - n + 2. Let f be x(-2). Is r greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(2*c**4 - 3*c**4 + 2*c**4) + 12*c - 7*c**4 - 12*c + 153*c**4 + 826*c**4 - 349*c**4.\nAnswer: 624*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 332 and 101256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 554584000 to the nearest one million.\nAnswer: 555000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 - 2*r + 1. Let j(w) = 0 + 4*w - 2 + 11*w**2 + 0*w - w**2. Let z(k) = 9*f(k) + 4*j(k). Give z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008581554792 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47594437*h**4 + 123573801*h.\nAnswer: 571133244*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 - -8)\/(-4))\/(-4). Let r be (-29)\/(-58) + 34\/(-36). Which is the nearest to 0.1? (a) -0.5 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 bigger than 209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11507 + 11512. Solve -i*n - 30 = 5*m, 43*m - 41*m + 15 = -5*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43313220 (base 5) to base 4\nAnswer: 1122102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 716 - 711. Solve 26 - 51 = -t*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + g**2 - 10*g - 5. What is z(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18155 = 4*o - c, c - 7204 = -3*o + 6414. Calculate the highest common divisor of 153 and o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13929*k - 13931*k + k**2 + 606 + k**2)*(0 - 7 + 2) to x*k**2 + b*k + g and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -81*i + 10. Let n(y) = 28*y - 3. Let u(x) = 3*g(x) + 8*n(x). List the prime factors of u(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 8.73.\nAnswer: -9.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**3 + 7*y**2 - 18*y - 5. Let d(s) = -7*s**3 - 14*s**2 + 35*s + 9. Let p(o) = 5*c(o) + 3*d(o). Is p(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 = -37*f + 50*f. Suppose 4*g - 10*g + f = 0. Calculate the greatest common factor of 266 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 623*a - 988*a + 631*a to the form w*a + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d0a - d2?\nAnswer: c18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 128 - 12. Round j to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + 12*n - 10. Let h be b(1). Put -5, -4, -14, h in increasing order.\nAnswer: -14, -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = 0, 0*i + t = -2*i + 32. Suppose 12 = -4*c + 4, -2*c = h - 2. Calculate the remainder when i is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-9)*j\/j**(2\/25))\/(j**(-2\/3))**(6\/13) assuming j is positive.\nAnswer: j**(-2201\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 + 117. Let s = 7 - 2. What is the closest to 1\/4 in s, b, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -49. Let v = -22 - l. Solve -3*x - 7 = i, -i + 4*x + 9 = -v*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m. Let b be 13 + 3 - (m + 1 + 1). Suppose -b = -d - 0. Calculate the remainder when 49 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351212*y - 351113*y + 1217 - 5276 = 0 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -276.074165 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**2 - 5*a**2 + 8*a**2)*(6 - 3 + 5 - 4 + 2 - 1 - 1 - 1 + 0 + (2 - 1 - 3)*(-3 + 4 + 0)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (38 + -46 - (-3 + 1) - 6) + -5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -15) + -4 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.27 times 56?\nAnswer: 1471.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5381\/20 - -269. What is the third smallest value in 3, 0.17, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**3\/6 + b**2\/2 + 25*b. Let l(a) = a**2. Determine -l(o) - r(o).\nAnswer: -o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -43647, 2, -5 in decreasing order.\nAnswer: 2, -4, -5, -43647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -516 and -0.5?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7157 - 7132. Determine v, given that x*v**2 + 1\/2*v**4 - 42*v - 6*v**3 + 45\/2 = 0.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4479 + -8.8?\nAnswer: 4470.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*z - 4*j, -16 = 7217*z - 7220*z + 7*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 26505*r**2 + 2524605*r + 59587775.\nAnswer: -5*(r - 5395)*(r + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7198 and 189764.9951?\nAnswer: 182566.9951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*a**3 + 71*a**3 + 101*a**3 + 73*a**3 + 71*a**3 - 437*a**3 + 54*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5565489.\nAnswer: 3, 67, 27689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -40*x**2 + 939*x - 4780. What is m(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*m + 24*m + 48. Calculate the greatest common factor of m and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 32. Suppose 6*z = z + y + 25, -3*z + 28 = 2*y. Let o = u - z. Solve 0 = o*g - 10 + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from xppp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 233*j**2 - 341*j + 446. Determine z(-115).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a = 0. Suppose a*b = -b, t - 9 = -3*b. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + 8 + -17?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 - (3 + 0 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 97. Let l be 2\/(-8) + g\/(-8). Solve -l*m + 2*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 20*y + 1. Let w = 178 + -143. Suppose 15*o - w*o = 280. Let t = -13 - o. What is g(t)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**3 + 4*h**2 - 7*h + 4 + 11*h + 0*h**3. Let p(l) = 27*l**3 - 15*l**2 - 15*l - 15. What is -4*p(u) - 15*s(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2124 and -55\/6844.\nAnswer: 61596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3539*k - 596878 = 1389*k - 465*k + 23479 for k.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -5, -1\/22, 2, -96?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8\/3 (b) -5 (c) 3 (d) -2\/5 (e) 0.5 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) -73\/4 (c) 2.98 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13112133 (base 5) in base 8?\nAnswer: -374023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/3 + 9*k**2\/2 + 3*k + 238. Let g = 8 + -14. Give m(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 229043683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 2, g: 2}. What is prob of picking 1 h and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 + 1910\/13. Which is the fourth smallest value? (a) 1 (b) 0.4 (c) 5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 185 = -f + 201, -4*f + 24 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 38. Let w(r) = -r**3 - 5*r**2 - 4*r + 1. Let v be w(-4). Let h = -2\/103 - 200\/309. What is the nearest to v in -3, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -12. Let y(z) = 2*z - 3. Let r(m) = m. Let p(n) = r(n) - y(n). What are the prime factors of p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2520 divided by 39630\nAnswer: -84\/1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*320\/300)\/((-14)\/(3\/3))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -21*i - 2. Is c(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 41. Let r be x(-12). What is the greatest common factor of r and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 1. Let m be s(5). Let q = 7 - m. Suppose q*c - 79 = 23. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456722 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 0)**2 - (sqrt(76)*-1)\/sqrt(4).\nAnswer: sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -223*a - 4212 + 497 + 370 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 62.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -67. Let z be 1*(c + (0 - 3)). Suppose -2*a - 5 = -g + z, 2*a + 2 = -g. Solve 4*r - g*r - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 3*l = -4, -2*p = -5*l - 7. Find the common denominator of -43\/3 and (4\/8)\/(p\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3425 (base 6) in base 8?\nAnswer: -1451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -48838.81 to the nearest 100.\nAnswer: -48800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2876*c**3*k**2*v**3 - 171*c**3*k**2 + c**2*k**2*v**3 - 2*c**2*k**2*v**2 - 2419861*c*k**2*v**3 + 2*c*k**2*v**2 wrt c?\nAnswer: -17256*k**2*v**3 - 1026*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*a + 1 + 88*a + 1)*(3 - 2*a**3 - 3) + 3*a**4 - 3*a**4 + a**4.\nAnswer: 5*a**4 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6811, 6815, 6819, 6823, 6827?\n\"Answer: 4*g + 6807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -4 + -44 - 5\/1. Does 6 divide y\/80 + 856\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -11\/3 (c) -0.02 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 minus 876899566?\nAnswer: -876899536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -45. Suppose 2*z - 6 = 0, -5*h + 19*z = 17*z - 69. Suppose -97*r + 102*r = h. What is the greatest common divisor of r and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/4 - 1\/(-2). Let s be 12\/15*x\/2. Sort s, -3, 1\/3 in descending order.\nAnswer: 1\/3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(3 - (3 + 2)). Let u(r) = -r**2 + 4*r + 15. Let y be u(10). Let i be 136\/12*(y\/6)\/(-5). Is i bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(700) - sqrt(1008)*1)**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279558 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m, -5*b + 175 = -0*b + 3*m. Calculate the greatest common factor of 28 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4510 + 22549\/5. Put -2\/17, -8, o, 0.5 in decreasing order.\nAnswer: 0.5, -2\/17, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 16*j + 405 - 12*j - 3*j.\nAnswer: j + 405","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24611 - 21918 + 12989 = -20*x. Calculate the smallest common multiple of 15 and x.\nAnswer: 8385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1517112 - 1030953. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007931 rounded to six dps?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82678 is divided by 2426?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/193 + 151\/4053. Suppose -2*d + 5*w - 18 = 9*w, 5*d - w = -1. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -1.52. Let d = -0.126 + 1.426. Let m = d - r. Which is the smallest value? (a) 0.06 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.412*0.09\nAnswer: 0.48708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 s when three letters picked without replacement from tstttttttts?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 1059*x**2\/5 - 87*x + 639\/5.\nAnswer: 3*(x - 71)*(x + 1)*(5*x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101111101 - 100?\nAnswer: 1000101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/14 and -113\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1035 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s + 2*l = 290, 5*s = -5*l + 370. Let g = 335 + -372. Let w = g - -74. What is the remainder when s is divided by w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3 = 5*o, n = -0 + 3. Solve 4*w + 16 = h, -o*w = 4*h - h - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015 times -28?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + b = 11, 2*b - 4*b + 7 = -t. Suppose -t*w - 115 = -133. Let r(v) = -3*v - 4*v**2 + 7*v**2 - 2*v**2 + 0*v. Give r(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:01 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2650014*u - 2 - 10 - 2. Let l be t(-1). Round l to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49906474?\nAnswer: 2, 24953237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119108 is divided by 430?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 19*c - 20*c = 20, 5*c = -n - 12. Solve t - 18*j + 17*j - 3 = 0, 0 = -2*t - 5*j - n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.024 - 677\nAnswer: -677.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 195963692, 195963690, 195963686, 195963680?\n\"Answer: -t**2 + t + 195963692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69661232*m**3*n**2*z**3 + 178*m**3*z**2 - 181*m**2*n**2 + 3*m**2*n + 4*m*n*z**2 wrt z?\nAnswer: -417967392*m**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -869, 5, -7 in decreasing order.\nAnswer: 5, -5, -7, -869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let y(k) = -3*k - 5. Let x be y(m). Calculate the highest common factor of 9 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*n*t**2 - 9*n - 74*t**2 + 40656 wrt t?\nAnswer: -48*n*t - 148*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/22)\/((-330)\/22385*-111)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -220 - -222. Is 34 a factor of (-814)\/(-2) + k*2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**3 + 3*y**2 - y - 20. List the prime factors of z(5).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -630 + 222. Suppose 4*z + u = 4*a, a + 4*z + 48 = 2*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.44 - 2.55. Which is the nearest to 0.1? (a) 0.5 (b) f (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 56. Let m be d(-30). Put m, 3, -8 in descending order.\nAnswer: m, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -14 + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = x - 2*x - 2, 0 = 2*x - 4. Solve c*o = 5*o + 3, -5*o - 7 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7560, 7655, 7752, 7851?\nAnswer: 7952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -2 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) + (-31844)\/(-10). Let j = 1316 + u. Suppose -4*y - y = j. What is y rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(50) + 1 - (sqrt(4)\/(sqrt(2) - (sqrt(4)\/sqrt(2) - sqrt(2))) + sqrt(2)))**2.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*f + 30*f = 21*f + 623 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 156*i**2. Let h(p) = 212 + 215 + 2*p**2 - 427. Determine h(a(l)).\nAnswer: 48672*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(17) + 3)*3 + -5)*5 - -4*-6*(sqrt(1700) + -2*sqrt(1700) + 5))**2.\nAnswer: -51000*sqrt(17) + 1115425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 9 = -d - 2, 0 = -5*d - 4*s + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/2 - 3*g**3 - 5*g**2\/2 - 2*g + 24. What are the prime factors of p(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431128249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.61 in -3, -4191, -253?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35195552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2098704 <= -14690920\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g**5 + 958*g**4 + 370522*g**3 + 15360186*g**2 + 126372960*g + 293495400 = 0 for g.\nAnswer: -54, -5, 2013\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130877 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(98) + -3) + 4 + 5 + (sqrt(98) - (1*sqrt(98) + 3) - sqrt(98)) + sqrt(98) + 1)**2.\nAnswer: -84*sqrt(2) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 5*b + 1. Let a = 11 + -20. Let w(y) = y + 6. Let m be w(a). What is j(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34694*n + 78233*n - 14302*n to the form h + b*n and give b.\nAnswer: 29237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 4*f - 7. Let j be n(6). Let y be (j + -6)*2\/(-2). What is the third derivative of -y*x + 73*x + 7*x**3 + 4*x**2 wrt x?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s. Let l(m) = -346*m**2 - 441*m**2 + 515*m**2. Calculate l(h(t)).\nAnswer: -9792*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 159288007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -384 - -383. Sort 5, 27, s, 0 in ascending order.\nAnswer: s, 0, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - -10. What is the highest common factor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 11. Let h(p) = 3*p - 10. Let w(z) = -5*h(z) - 4*y(z). Let c(f) = f + 8. Let n be (-16)\/(-56) - (-58)\/(-7). Let i be c(n). Determine w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose c*u = -u + 33. Suppose -4*p = -5 - u. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = 21 - 69 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 34218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 415 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 867.8238ml?\nAnswer: 0.8678238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 6540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 12*y**2 - 5*y - 6. Let q be g(-5). Is q < -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-57)\/(-63) - 1) + 30\/70. Suppose -2*x = -3*x. Is j at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23774?\nAnswer: 2, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 46 = -9. Let x = 11 + b. Suppose -2*o + 8 + 2 = 4*i, -i = x. Solve o = -4*v + 3*t, 2*v + t + 2*t + 7 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 35*s + 8*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + 5*a + 5. Let t(u) be the second derivative of -u**4\/2 - 3*u**3\/2 - 9*u**2\/2 - 28*u + 1. What is 7*n(k) + 4*t(k)?\nAnswer: -3*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (1 - 4 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5459516317.\nAnswer: 101, 331, 163307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 50314350?\nAnswer: 50314353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(0 + 0 + z**4) + 0*z**4 - z**4 - 2*z**4.\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26402 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 19837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -4*n - 0*n. Let p = n - -42. Suppose 0*c = -c + p. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 278 = -3*u - 100, -4*t - 3*u = -525. List the prime factors of t.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86665102.\nAnswer: 2, 2999, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 304.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.497836kg?\nAnswer: 497836000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.55 - -10. Let i = m - 0.5. Let b = i + 0.4. Round b to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c. Let o(h) = -7091863*h. Determine v(o(q)).\nAnswer: 49643041*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427234.\nAnswer: 2, 19, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 2*j**2 - 2*j - 2. Let w(h) = h**3 - h**2 - h - 1. Let f be 2\/(-6) + -2 - (-2)\/6. What is f*w(o) + k(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 479 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(4\/(-2) + 1400\/24). Let i = -50 + y. Calculate the remainder when i is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 3*z**2 - 3*z**2 + 2*z**4 - 3*z**4 + 3*z**4 + (-z**2 - 5*z**2 + 5*z**2)*(z**2 + 3*z - 3*z) + 2*z**4 - 6*z**4 + 2*z**4)*(0*z + z - 2*z).\nAnswer: -z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 840?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8358360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 57*a - 678. What is s(15)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**2 + 1094*h - 81796. Calculate y(51).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 996 + 10?\nAnswer: 9a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szsszszzsszs. Give prob of picking 2 s.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 189559237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*y - 2*y. Calculate the lowest common multiple of y and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63066.39ug to tonnes.\nAnswer: 0.00000006306639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 33. Solve -c*r = -0*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(-4 + (-2*sqrt(1500))\/(sqrt(48)\/sqrt(4)*-1) + -4))**2*3.\nAnswer: -30720*sqrt(5) + 108288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 4, z: 3, q: 3, w: 6}. Give prob of picking 1 f and 1 q.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 9*f**2 + f + 9. Let b be q(-9). What is the closest to b in -0.5, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 8. Let a be v(-4). What is the smallest common multiple of 20 and (-42)\/a - (-16)\/(-32)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1711, 1194, 333, -872, -2421, -4314?\nAnswer: -6551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:15 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-8) - 174\/(-1392)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*p - 85, p + 3*d = 19 + 6. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 718 = 470. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 2\/2) + -1. Let v be (-3 - -3)\/(1 + 0). Suppose -9 = l - 4*i, 2*l + 0*i - a*i = v. 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 49 minutes before 7:13 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 20*v - 390 = 0. Let o = -48 + v. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zazy when four letters picked without replacement from aazazyzlleaa.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2295257282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 410236*i*x**2 + 11368*i - 8*x wrt x.\nAnswer: 820472*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 9 + n**2 - 14*n - 1 + 2*n.\nAnswer: 4*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 375 + -419. Let t be 26\/169 - 1*i\/52. Let n(x) = -5*x**2 - 2*x + 2. Calculate n(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11866*p**3 - 54101*p**3 - 4657*p**3.\nAnswer: -70624*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8436?\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:21 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15.83435 and 24.396.\nAnswer: 40.23035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1773 - 1769. Put 14, d, -12 in increasing order.\nAnswer: -12, d, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029299276 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13881903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooopiqvopzzqo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23611104 and 6380.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 750898?\nAnswer: 750898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*k**2 - 4*k**3 - 3*k + 9*k - 33*k**2 - k + 6*k**4 - 3*k to the form c*k + y*k**2 + n*k**3 + m + o*k**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172047 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/9 - 499*y**2\/9 - 41264*y\/9 + 41764\/9.\nAnswer: -(y - 1)*(y + 106)*(y + 394)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j + 3. Let u = -17 - -19. Let c be (-126)\/(-27)*3\/u. What is the remainder when l(c) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166*(-3)\/(-54) - (72\/81)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 + 7*a + 1. What is s(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -186, -0.3, -0.037561?\nAnswer: -0.037561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpttamtbt. Give prob of picking 1 p and 1 t.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by -4\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-35)\/(-1715)*14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277035 and 23027485?\nAnswer: 8395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 265055537*i**3 - 222621326*i**2 + 1 wrt i.\nAnswer: 1590333222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpppgpgpgg. What is prob of sequence pgg?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9639 and 638442.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.157 - 2.157. Sort -2\/11, w, -0.4, -4.\nAnswer: -4, w, -0.4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.9 times 1.794\nAnswer: -10.5846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*c + 13 + 35, 2*y + c - 34 = 0. What is the remainder when (57\/2)\/((-2)\/(-4)) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24634, -24624, -24614, -24604, -24594?\n\"Answer: 10*n - 24644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 222*x**4 + 3*x**3 - 211*x**2 + 19*x - 21127344 wrt x.\nAnswer: 888*x**3 + 9*x**2 - 422*x + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 90. Solve 4 = 3*s + k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 + 11*d - 34. Let l(c) = -14*c**2 - 34*c + 99. Let n(f) = 6*l(f) + 17*m(f). Calculate n(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(4\/15)\/s))\/((s**(-28)\/s)\/s*s) assuming s is positive.\nAnswer: s**(461\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o\/((o\/(o\/o**(2\/15)))\/o))\/o)\/o))**(-21)*(o\/o**(-4\/3))**(-1\/3) assuming o is positive.\nAnswer: o**(-1106\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22740 (base 8) in base 13?\nAnswer: -454b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9874?\nAnswer: 2, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 132 = 3*p, 3*p + 147 = 4*o - 25. Suppose 10*f - 30 = o. Suppose f*m - 635 = 6*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 22, 13, 4, 5, -3 in increasing order.\nAnswer: -3, -1, 4, 5, 13, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 36*k - 35. Factor 517*t**3 - 37*t**5 + 193*t**3 + 141*t**5 + 37*t**5 + 300*t**k + 700*t**4 + 45*t + 104*t**5.\nAnswer: 5*t*(t + 1)**2*(7*t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19987, 2484, -2, 3 in descending order.\nAnswer: 19987, 2484, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 12) in base 8?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n**2 - 75*n + 3. Let a(r) = 15*r**2 + 75*r - 4. Let i(v) = -3*a(v) - 4*t(v). Find h such that i(h) = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24160 divided by -2416.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 18*n**2 + 12*n - 3. Suppose 0 = -5*f - 0*f - 110. Let w be 10\/55 + 202\/f. Let c be o(w). What is c rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 8.1. Let n = 4.7 + -4. Let p = n - 1. What is the nearest to -1 in m, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20000)\/75)\/(-160))\/(30\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.21 (c) -45 (d) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1856178 micrograms to nanograms.\nAnswer: 185.6178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1)*(20 + -298418)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 1, z: 2, h: 1, x: 2, y: 1}. What is prob of sequence wx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4110 by 11277.\nAnswer: 1370\/3759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 26200000 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 + 0.3. Let v = 38 + -38.4. Let q = v + 0.1. Which is the third biggest value? (a) 4 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) 4\/5 (c) -2 (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Let s be p\/(5\/((-10)\/4)). Are s and 2\/35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 107*i = 104*i + 837, -5*a + 2095 = 5*i. Let h(r) = 27*r**2 - r. Let s be h(-1). What is the highest common divisor of s and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12492 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180 + 24*s**3 - 424 - 2*s**2 - 22*s**3 - 573 - 3*s to i + b*s + g*s**2 + y*s**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + 28 + 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let o(j) = 4*j - 3. Let w(s) = -o(s) + 3*u(s). Let y = 13 - 11. Let a(z) = -2*z**2 + 2*z**2 + 0*z**2 - 3*z**y. Determine a(w(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -29.5 (c) -29 (d) -1.8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/14 - -41) + 40\/(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 23. Let m be s(-4). Suppose 0 = -4*t - 2*p + 28, 0 = -t - 0*p + 5*p - m. Solve -2*g + 6 = 3*q - 0*g, -2*q = t*g - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 2:30 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(84)*-2 - sqrt(84) - sqrt(84)) + sqrt(84))\/sqrt(12) + 5 + -1*sqrt(7) + 4 + sqrt(1008) + 2)**2*-2.\nAnswer: -1140 - 352*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (3 - (-2 + 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 29 + 9 = 0. Suppose g - 11 = -y. Calculate the lowest common multiple of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0792 (b) -0.057 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 + c**2)*(c + 2*c - 5*c) + 40*c**3 + 5*c**3 - 12*c**3 + c**2 + c**3 - c**2.\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*n**2 - 1205*n**2 + 643*n**2.\nAnswer: 166*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 - 9)*(-4)\/10. Let n = 2 + v. Factor n*m**3 + 0 + 6\/7*m**2 - 2\/7*m**4 - 4\/7*m.\nAnswer: -2*m*(m - 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90618311.\nAnswer: 7, 101, 128173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 106 = m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(40)\/(sqrt(16)\/sqrt(2))*3.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2dd8?\nAnswer: -2ddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, y: 5, j: 1}. Give prob of sequence hhyh.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 3727827.\nAnswer: -63373059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 8*p + 150. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -6, -0.4, 4\/87863?\nAnswer: 4\/87863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 3*m - 8*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23314170 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6529, 6515, 6487, 6445?\nAnswer: 6389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37736 (base 8) to base 2.\nAnswer: -11111111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.181 - 2.8. Let c = 43 - 43.41. Let r = l + c. What is r rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111220110 + 12?\nAnswer: 2111220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7205\/(-451) - -9 - 3\/((-6)\/14)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 99, 147, 193, 237?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -690 - -4067. Let t be g\/44 - 1\/(-4). Calculate the greatest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r = -40*r + 680. Solve 6*b - b = -r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 - 3 - 5*r**3 + 10 + 3*r**3 + 10*r + 8*r**2. Is f(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 13*d**2 + 3*d + 13. Suppose p = 3*s, p + s + 65 = -3*p. What are the prime factors of a(p)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - f**2 + f + 1. Let y be h(-1). Suppose y = 5*j - 14. Suppose 0 = j*l - 22 - 98. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*k - 353*k + 1113*k + 56323 = -12533 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3264) + -1*sqrt(3264))\/(sqrt(147)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*b + 131*b = 355*b - 82*b - 5238 for b.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326013860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*h - 11 = -43, -20 = -2*x + 3*h. Suppose -3 = -4*s - x*j + 45, 0 = 4*j. Suppose 0 = -25*b + 36*b. Solve b = -5*u + 2*u - s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6593 divided by 2?\nAnswer: -6593\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*f + 19 = 2, -30 = -5*o + 3*f. Let s(d) = d**2 + 7*d - 6. Let g be s(-6). Let h = g + 15. Solve -h + 12 = -o*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 5916*g**2 - 2035296*g - 204035760.\nAnswer: -4*(g + 222)**2*(g + 1035)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.026 in -108, -3\/4, -1, 5\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 98 = 10. Let h(c) = 0*c - 4*c + 13 - 3*c + 30. Does 41 divide h(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 2*h + 4*k, 244*h - 247*h - 4*k = 73 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278226 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4079*i + 4009*i = 70 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 16 = 4. Suppose -5*i = -g*i - 26. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a - a + 4*a)*(-1 + 5 - 3) + 4*a - 3*a - 2*a + 365*a - 359*a - 10 + 23 as p*a + c and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 bigger than 33524134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/464503 or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 134.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -82, -32, 7, 1 in descending order.\nAnswer: 7, 1, -1, -3, -32, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h - 11. What is j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79.03 + 75.03. Which is the nearest to 0.1? (a) -3\/5 (b) -272 (c) -3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*i**2 + 36*i - 64 + 5*i**3 - 96 - 24*i**2 + 67*i**2 + 34*i.\nAnswer: 5*(i - 1)*(i + 2)*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 10119 (b) 2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 13*a = -k - 104, 5*k + 45 = a. Suppose x = -4*x + 360. Calculate the remainder when x is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/27 + -54*312\/18954.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -22. Let z = r - 30. Let j = 20.7 - 21. Which is the fourth smallest value? (a) 0.2 (b) 4\/5 (c) j (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102 + 307 - 105 - 100 - 901*i in the form f + h*i and give h.\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 10*d - 4. Let w be y(-3). Is w bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (-15884)\/(-798) - (-4)\/42.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*33*(7 + -6). Suppose -6*u + l = 21. Suppose -c = u, w + c = -c - 3. Let j(f) = -18*f**2 + f. What is j(w)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 520 = -22*t. Suppose 6*j - 130 = 4*j. Let k be (4\/(-5))\/((-2)\/j). Calculate the highest common divisor of t and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0110865 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -7.4. Let w = -139699 + 10198029\/73. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2571 = -7*x - 1311 - 1365 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j. Suppose j = 4*k - 2*k - 6. Suppose -5*y + 4 = -5*r - 1, 4*r - 10 = -3*y. Solve 25 = -5*x - 0*x, -y*h + 15 = -k*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a13 - 1a7?\nAnswer: 5828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -3\/16*z**4 + 0*z + 3 + 3\/4*z**2 + 1\/4*z**3. Factor k(m).\nAnswer: -3*m*(m - 2)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (313 + -4 + 2)\/(21\/21). Suppose -12*w = -v + 11. What is the first derivative of w*i + 5 - 25*i + 3 + 9*i**4 wrt i?\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - (4 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-52)\/(-28))*7. Let r(b) be the first derivative of 9*b**3 - b**2\/2 + b - 59. Determine r(u).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let l = -1 - v. Let q = -16.57 + 19.57. What is the second biggest value in -2\/3, l, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 292bc7?\nAnswer: 292bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 977, 26645, 0 in descending order.\nAnswer: 26645, 977, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11629 + 11629. What is the closest to 1\/4 in -0.17, -8, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 4\/2)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -327\/7. Suppose -v = 6 - 1. Let s = 96.6 + -96.2. What is the nearest to -0.1 in s, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245232 = -3164*y - 840*y + 655*y - 630367 for y.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 3*g**2 - g - 2. Let b be l(2). Let d be (252\/14 - 18) + (-5)\/4. Sort d, b, 3, -0.05 in increasing order.\nAnswer: d, -0.05, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10585 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 185\/20)*12\/7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 - 156. Which is the third smallest value? (a) s (b) -1 (c) 8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -6*s - 1343748, p - 447923 = 22*s - 20*s. Round s to the nearest 1000.\nAnswer: -224000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = 103 + 23 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*x - 10 = 781*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/20)\/(198\/495)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/12 and -139\/348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 5*u + 2. Suppose 4*h - 470 = -78. Suppose -5*k + 43 + 52 = 4*p, -4*p - 2*k + h = 0. What is the remainder when p is divided by f(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(7\/(-2)) + (-6)\/(-1). Let u be (8 - 7)*h\/(-170). Suppose 8*n - 13 = -5. Which is greater: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -86?\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 541410 - -4?\nAnswer: 541414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.192339 litres in millilitres?\nAnswer: 192.339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32844)\/(-374))\/23)\/(-3)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*p - 3*y, -3*y = 90 - 93 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 4*z - 16. Let w be y(-3). Let a(p) = -p**2 - 11*p + 31. Let h be a(w). Calculate the highest common divisor of 40 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46208*q**2 + 23109*q**2 + 23100*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*o**2 - 149*o**2 - 564*o - 153*o**2 - 154*o**2 + 416*o.\nAnswer: 2*o**2 - 148*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(18\/5))**35)**(-40) assuming i is positive.\nAnswer: i**(-5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, -76, -134, -154, -124, -32, 134?\n\"Answer: 2*p**3 + p**2 - 101*p + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (108\/(-15))\/(4\/5 - 1). Suppose 0 = -g*o - 13*o + 441. Solve -d = -w - o, d - 5 = -0*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 26. Give o(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -281*m**2*r + 20*m*r - 134677*r wrt m?\nAnswer: -562*m*r + 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.63 - -7.37. Let q = -2 + 3. Let l = q + -1. Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t - 53*t = 0. Let n(o) be the third derivative of t - 1\/270*o**5 - 11*o**2 - 2\/27*o**3 + 1\/36*o**4 + 0*o. Factor n(l).\nAnswer: -2*(l - 2)*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32833 is divided by 426.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 84, -4, 4 in ascending order.\nAnswer: -4, 2, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 n, and 1 u when four letters picked without replacement from {g: 1, c: 2, n: 2, u: 4, y: 3}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 + 404*p\/3 + 134.\nAnswer: 2*(p + 1)*(p + 201)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115243308?\nAnswer: 2, 3, 37, 241, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 10*a = -26*a + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {q: 7, u: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 27*i - 10*i)*(6828 + 2*i**2 + 73*i**3 - 6828).\nAnswer: 1241*i**4 + 34*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from dddpddppddddddddppd?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -b7318?\nAnswer: b7320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 531040 + -531041. Let k = 0.3 + -0.2. Which is the second biggest value? (a) k (b) 0 (c) v (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787 - -44 - (1 - -1 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/5, 2\/9, -0.6, -4\/5 in ascending order.\nAnswer: -4\/5, -0.6, -2\/5, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5157*b**2 + b + 6087*b**2 - 3*b)*(0 + 4 - 1 + b) to the form h*b**3 + n*b + s + m*b**2 and give m.\nAnswer: 2788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.0465mm in micrometers?\nAnswer: 742046.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.96206l in millilitres?\nAnswer: 11962.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Let s = y + -2. Let w = -0.082 - -0.382. What is the closest to s in w, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 8*w**2 + 7*w. Let u be n(-5). Let x be (u - 47) + (15 - 1). Let j = 12 + -8. Solve 0*h = j*h - 2*p - 14, 3*h = -2*p - x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 11*k**2 + 15*k - 9. Let y be ((-2)\/3)\/(1\/(-18)). What are the prime factors of j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134310 + -134308. Find g such that -1\/6*g**h + 1\/2*g + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2970263632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -49.68. Let y = q - -0.6800051. Round y to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155918 + 16*z + 155918 to the form q*z + u and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 0.9. Let l be (-19)\/(-3) + (-12)\/(-18). Suppose -3*n = 5*y + 30, n - l = -0*n + 4*y. What is the nearest to r in -3, n, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*x**2 - 96*x**3 + 11*x**4 - 12*x**4 + 4*x**4 + 133*x**2 + 80*x**2.\nAnswer: 3*x**2*(x - 30)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16790 divided by 23.\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 1. Let n(y) = -16*y - 20. Let m = -482 + 602. Suppose -7*s = -s + m. What is s*a(z) + n(z)?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**3 + x**3 + 2*x**3)*(13 + 91 + 150) to the form n*x + m + z*x**3 + d*x**2 and give z.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/143, 55.46 in decreasing order.\nAnswer: 55.46, -4\/143, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 79*x**3 + 3*x**2 - 7. Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -10, 0.02, 0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -15*f**3 + 130*f**2 - 260*f + 120 = 0.\nAnswer: 2\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*d*f**2 + 1560*f**2 wrt d.\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 308 (c) 2\/303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.435 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(((p*p**(5\/4)\/p)\/p)\/p*p)\/p)\/(p*p**(1\/14))*(p*p**(-2))**(-45) assuming p is positive.\nAnswer: p**(1237\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/71913 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*g - 35. Let o = 64 - 157. Let x = o + 310. What is the greatest common divisor of x and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 2*z - 2. Let t(g) = g - 1. Let w(h) = -3*p(h) + 6*t(h). Let x(c) = -6*c. What is x(w(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -586*n - 9661. Calculate s(-13).\nAnswer: -2043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2204\/7 or 24?\nAnswer: -2204\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000243789 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22889 + 22885. Let r(i) = 40*i + 166. Determine r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2407 + -26517\/11. Calculate the common denominator of -5\/4 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05511866798 rounded to 5 decimal places?\nAnswer: -0.05512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1307504 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-12) - 0)\/((-4)\/(-6)). Suppose -s - 57 = -k*h - 4*s, 3*h = 4*s + 40. Differentiate 4*x - x - h*x + 23 wrt x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 82*s + 15 = 85*s, 4*s = -5*m + 20. Put 4, 38, m, -4, 2 in increasing order.\nAnswer: -4, m, 2, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1566, 3354, 5144, 6936, 8730, 10526?\nAnswer: 12324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 29*p**2 + 62*p + 6. Let s be f(-31). Solve -10 = -s*t + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = 3*n - n, 7 = 3*t - n. Suppose 247 = 4*l + l - t*b, 3*l - 3*b = 141. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7558, 7569, 7582, 7597, 7614, 7633?\n\"Answer: t**2 + 8*t + 7549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 470*x**3 - 181047*x**2 - 280835155*x + 1 wrt x.\nAnswer: 2820*x - 362094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2719130 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2699*w. Let u(b) = -b. What is u(l(y))?\nAnswer: -2699*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*i + 1, 0*l - 16 = -5*l + i. Solve -4*y - 17 = n, 4*y + l = -2*n - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2. Suppose -5*l - 1276 = -4*z - 2*l, 5*z - 1595 = -3*l. Let k(o) = -320*o - 2 + 2 + z*o. Give k(g(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2005, -1928, -1773, -1498, -1061, -420?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*o*p**2 - 10607*o*p + 3*o + 87949*p**2 + 5*p - 10 wrt p?\nAnswer: 252*o + 175898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -11*t**7\/210 - 5*t**4\/12 - 10*t**2. Find the second derivative of n(w) wrt w.\nAnswer: -132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -77. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.6 + 18. Let y = -3.4 + 3. Which is the closest to -0.1? (a) y (b) 2\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(3*(-2)\/3). Solve -3*h - 6 = -3*n, -3*n + 2*h = -i - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261514 (base 11) in base 12?\nAnswer: 8936b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -998*u - 191730. Give l(-192).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-3) + (-14)\/4)*-36. Calculate the highest common divisor of 162 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58206313 and 1441.\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -99\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28479944*y**2 - 471534*y + 5 wrt y.\nAnswer: -56959888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 299*b**4 - b**3 + 41*b + 13539.\nAnswer: 1196*b**3 - 3*b**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37979 + 53232. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 6*m + 16. What is r(-9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/285783 and 16\/5239355.\nAnswer: 15718065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.077 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6054 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: Let w(i) = i**3 + 24*i**2 + 22*i - 20. Let y be w(-23). Solve 3 - y = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + 24.02. Let t = -24.42 + m. Sort t, -1\/6, 0.2.\nAnswer: t, -1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**2 + 69*x + 10. What are the prime factors of n(-14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79c7 + -140?\nAnswer: -7b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -128*4\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + -7. Let k be 6\/8 - 1545\/i. Suppose -2*z + 4*z - k = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*l = 2*l - 1034, -5*l = -5*a + 5215. Suppose 9*v - a = -v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 7 + 4)*((-2 - 2 + 3)*(4*y**4 - 3*y**4 + 0*y**4) + 4*y**3 - 4*y**3 + 5*y**4 + (3*y**2 - 2*y**2 + 0*y**2)*(0*y**2 + 3*y**2 - 2*y**2)).\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-15)*18\/(-4). Let n = 69 - 41. Suppose f*g - n = g. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 9*i - 1. Suppose 6 = i*u - u + q, -4*q - 4 = -2*u. Solve 5 = -3*b + u*f, -b - 3*f + 15 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 26*c + 113. Let o be n(-15). Suppose 3*i = 5*p + 145, 0 = -4*i - 0*i - 3*p + 232. Let q = i - o. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335 = 162*b + 806 + 501 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3244 and 73308.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106, 1079, 3838, 9313, 18434, 32131, 51334?\n\"Answer: 155*f**3 - 37*f**2 - f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = 0, 11 = 3*b + 2*t - 34. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*v - 340*v - 308*v - 297*v + 0 - 1.\nAnswer: -33*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48409335.\nAnswer: 3, 5, 13, 83, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 8:59 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*z**2 + 530*z - 224.\nAnswer: 2*(z + 16)*(17*z - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 262770 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/4 - 317557*m\/4 - 47634.\nAnswer: (m - 63512)*(5*m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*o - 249 - 130, y + 2*o = 129. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 - 11*l**2 + 57*l - 45 = 0.\nAnswer: -15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/201 - 1013\/804. Let o = 45.6 + -34. Let h = -16.6 + o. Which is the third smallest value? (a) -1\/4 (b) 1\/3 (c) h (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, 1456, 2927, 4398?\n\"Answer: 1471*u - 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42850?\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w = -77 - 93 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 5*k**5 - k**5 + (-4*k**3 - 2*k**3 + 4*k**3)*(0*k**2 + k**2 + k**2) + (5*k**2 + 9 - 9)*(2*k**3 - 5*k**3 + 4*k**3) + 31 - 31 - 29*k**5.\nAnswer: -26*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32308726.\nAnswer: 2, 29, 277, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107431 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 25*w - 41. Let g(c) = 77*c - 123. Let r(u) = -2*g(u) + 7*j(u). Let m be r(3). Solve -18 = 4*f - m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(19)*4 + 1.\nAnswer: -12*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214800 and 162536475?\nAnswer: 13425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 111*p - 1000. Calculate i(-8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**4\/24 + t**3\/3 - 3*t**2. Let n be x(0). Solve -3*z = 3*u + u - 3, -2 = 4*u + n*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 10*q**2 - 17*q - 7. Let i be a(-8). Suppose 2 = -4*o + 10. Let j = 0.03 + -1.03. Put i, o, j, 1\/4 in ascending order.\nAnswer: j, 1\/4, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c + 1165 = 3052. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157680 is divided by 2577.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7189 - 7*r**3 - 3602 - 3587.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/17? (a) -0.1 (b) -4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.1816 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.1 - 0.1. Let l = 0.98 + -0.08. Let x = l - 0.7. Sort 1, o, x in decreasing order.\nAnswer: o, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -0.4 (c) -6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(-129)*30\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**8\/1008 - 31*m**7\/630 + 17*m**6\/24 - 5*m**5\/4 + 11*m**2 - 7*m. Factor d(f).\nAnswer: f**2*(f - 15)**2*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*a + 13*a - 700. Sort a, -3, 2.\nAnswer: a, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18737 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: Suppose m - 7 + 2 = 0. Let x(y) = 4*y + 17. Is 13 a factor of x(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/3 and 22*(1 + 114\/(-116)).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 3*q - 4. Let h be j(-5). Let m be (15\/(-4))\/(h\/(-32)). Let w(k) = -7*k + 1. Let r be w(-7). Calculate the highest common factor of r and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = 0. Suppose w = -2*r + r. Suppose r = 3*p - 14 + 2. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355636968 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/((-559)\/13)*((-1)\/17)\/(-1)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 8, -g - 24 = -4*t + 2*g. Solve -3\/2*u**t + 3\/4*u**4 + 0*u + 0 + 3\/4*u**2 = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -62\/5 (c) -6\/1367 (d) -3 (e) 1 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1640, 1396, 1030, 542, -68, -800, -1654?\n\"Answer: -61*k**2 - 61*k + 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, x: 4, a: 2, y: 4}. What is prob of sequence yx?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 8*s**2 + 6*s + 12. Let r be f(9). Let n = 11 - 36. Let t = r - n. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1084027.05 seconds?\nAnswer: 12.546609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(1*-1 + 6\/12). Let k = -0.2 - 0.3. What is the closest to -2 in l, k, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 6)\/1 - -1. Solve 3*w + 3 = 4*q - 20, -r*w + 3*q - 26 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.148 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 89.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -38. Let f = 241 + -239. What is the second derivative of -f*m**3 + o*m + 0*m**3 - 20*m wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1412.5 - 1412. Put k, -11, -0.4 in decreasing order.\nAnswer: k, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.2700806 to three dps.\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/128? (a) 0.1 (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4452 and 448.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2980, -5954, -8928?\n\"Answer: -2974*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-11)\/c)\/c)\/c*c)**(3\/4)*(((c**(-11)\/c)\/c)\/c*c)\/c**23 assuming c is positive.\nAnswer: c**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/120 + x**5\/60 - x**4\/24 + 9*x**2. Let s(n) = -n**3 + 7*n**2 - 11*n - 3. Let i(d) = s(d) - 2*v(d). Does 5 divide i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 75 - 142 + 7*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1760 by -61.\nAnswer: 1760\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 + 104330?\nAnswer: 104442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31.4304, -13\/4, 5?\nAnswer: -31.4304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*t**3 - 1 + 4 - 2 + (0 + 2*t**2 + 0)*(26 - 26 - 9*t) + t**3 - 3*t**3 + t**3 + t**3 - t**3 - 7*t**3 as l*t + m + x*t**3 + c*t**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/72 - v**5\/4 + 15*v**4\/8 + 5*v**3 - v**2. Let x(o) be the first derivative of m(o). Suppose x(t) = 0. Calculate t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2057*n**3 - 15*n**2 + 69*n - 70. Calculate h(1).\nAnswer: -2073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z = 4*z + 9306. Calculate the smallest common multiple of z and 88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5799*j + 52. Let l(r) = 2902*r + 24. Let k(b) = 13*l(b) - 6*u(b). Let m(a) = a. What is k(m(d))?\nAnswer: 2932*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.021 in 6, -2, 5, -4, -80?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 130 + 247 - 143. Let x(l) = -5*l. Determine w(x(d)).\nAnswer: -10*d - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201108895 and 391.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386.5131 + 7360.73.\nAnswer: 6974.2169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2228569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvtvvpvpvmjmm. Give prob of picking 1 j, 1 t, and 2 v.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-1 - -30) + -557 + 517?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*q**2 + 0*q - q - 3*q - 16*q**2 as c + w*q**2 + r*q and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35318392?\nAnswer: 2, 691, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.5. Let m = w - -0.1. Let u = -2.3 + m. Which is the smallest value? (a) 5 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.033 (c) -3 (d) -5 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 5 + (-39 - -10)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -1\/4 (b) 1\/8 (c) -29 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3 = -2*p. Which is the nearest to p? (a) 1\/2 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137 (base 9) to base 11\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 43. Suppose 195 = j*f - 2*f. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 130698*z + 4270491801 = 0.\nAnswer: 65349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.797 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158443 is divided by 1191.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0)\/(6 + (-16)\/2). Suppose 5*y + 10*s - 9*s + 2345000 = x, -y + 5*s = 469000. What is y rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -11, -4 in decreasing order.\nAnswer: 5, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 16*x = 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 175*o**3 - 10*o**2 - 17500*o + 1000 = 0.\nAnswer: -10, 2\/35, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by 1.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 988\/19*(-12)\/(-156)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-9))\/((187\/(-4686))\/(-17)). Suppose -g = -y + 145, 4*g = 2 + 10. Let r = t + y. Solve -v + 5*b + 11 = -4, 2*v = b - r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8707 = 150*a - 1309*a + 12155 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**2 - 12*j - 8. Determine v(-6).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000869765 to 7 decimal places.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 bigger than -1206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 85 - 69 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**2\/2 + 71. Let c(y) = -2. Let b = 0 - -1. Calculate b*c(j) + 3*u(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 2*v**2 + 22*v**2 - 2*v. What is the smallest common multiple of a(-1) and (-2)\/(-3) + 1932\/828?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 - 267*f + 21927 - 41316 + 20493 wrt f.\nAnswer: 3*f**2 - 267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**3\/3 - 3*m**2\/2 - m - 1. Let u = -15 - -13. Calculate r(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 14*c**2 + 50*c - 17. Let v be z(-17). Solve 5*l - 20 = v, -4*h + 8*l - 5*l = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 10*r**2 + 66 + 11*r**2)*(-2*r**2 - 2*r**2 + 5*r**2).\nAnswer: r**4 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39.17 - -39. Let t = i - -0.16942. Round t to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -18?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 12*t**4 + 1756088*t**3 - 2341492*t**2 - 2926832*t + 1170736 = 0.\nAnswer: -146342, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1687867*-2.6.\nAnswer: -4388454.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6164, -12229, -18278, -24305, -30304?\n\"Answer: m**3 + 2*m**2 - 6078*m - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/216*-9*(-184)\/(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r. Let t be n(2). Let c = t + 6. Let h be c\/(-4) - (-204)\/24. Calculate the highest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9800 + 2*y**2 + 9800 - 2*y**3 + 8*y - 2*y**4 + 2*y**3 to k + l*y**3 + j*y**2 + f*y + s*y**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 267825964.1 + -267826075.0999927. Let p = 111 + g. What is p rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022401397 rounded to four decimal places?\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(-6*d**3 + 23*d**3 - 14*d**3) in the form j*d**3 + f*d + w*d**2 + l and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/2949 and 102 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/3, 2\/7, -1, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5\/7 + 18*c**4 + 810*c**3\/7 - 1510*c**2\/7 + 66*c\/7 + 72 = 0. Calculate c.\nAnswer: -21, -12, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - l - 1. Let y(n) = 3*n**2 - 2. Let c be 2*-1*(-5 + 3). Suppose 6 = -3*b + c*d - 3, 3*b - 2*d + 3 = 0. What is b*y(f) - s(f)?\nAnswer: 2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 89 = 31. Calculate the remainder when 1217 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15488 by -7744.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 292 = -s + 295, -v = -2*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 860*g + 1137*g + 1331*g to b + z*g and give z.\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 14. Suppose -3*q + 15 = 0, 3*x + d = 2*q - 0*q. Suppose -x*p - 4 = -p. Sort 3, p, -5 in decreasing order.\nAnswer: 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 8, 3, 6, 0, -5, 36 in ascending order.\nAnswer: -5, 0, 3, 6, 8, 36, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + -111 - (-3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-130))\/((-790)\/316).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -7 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76\/3 + -25. Which is the smallest value? (a) -2\/3 (b) 11 (c) r (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 22*s = 80. Suppose 4*r - 653 = -v, r - 5*v - 57 = s. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -197, -16, 0.5, -1\/8, -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 - 31.1. Let o = q - -30. Let f(r) = r**3 - 2*r**2 - 3*r + 2. Let i be f(3). What is the third smallest value in i, o, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 3*n + 4. Let i(c) = -c + c**3 - c**2 + 5*c - 3*c - 1. Let f(y) = i(y) + j(y). Give f(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1.3 (c) 3\/7 (d) -99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.25 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {w: 1, j: 11, u: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -15*z**2 - 7*z. Let n(x) = 287917*x. Give n(y(q)).\nAnswer: -4318755*q**2 - 2015419*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, 112, 288?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74577169 to the nearest integer?\nAnswer: 8636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.54335 centuries to months.\nAnswer: 11452.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - d + 210 + 1339 = 0, 2*d + 1242 = 4*y. List the prime factors of y.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71077 is divided by 17767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00831825 rounded to 5 decimal places?\nAnswer: -0.00832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 186916 and 20?\nAnswer: 3738320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61533?\nAnswer: 3, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175934.\nAnswer: 2, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h. Let r(v) = 43286*v**2. Calculate r(p(m)).\nAnswer: 1558296*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 306dc - 352?\nAnswer: 3038a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5 + -1*sqrt(700)*-5*5 - (-5 + (sqrt(700) - (sqrt(700) + -1)) - (sqrt(700) + 0 + sqrt(700)*1 + sqrt(700)))))**2.\nAnswer: -1120*sqrt(7) + 548804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u. Let x be (-19)\/((-456)\/252)*(-2)\/(-3). Give h(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00465 - -85.52535. What is u rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-5) + 132\/20 + -2. Suppose -4*m + k*d + 304 = 0, 18*m - 14*m - 289 = -d. Is m greater than 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267453217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((9\/(-12))\/((-21)\/(-42)))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 9*x - 58 + 376 = 19*o - 4*x, 4 = x - 0 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2072 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**7\/105 - 2*i**6\/75 + i**4\/15 + i**3\/15 - 4*i - 2. Let j(b) be the first derivative of f(b). Solve j(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12495 and 1753890.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 2662111?\nAnswer: 8\/2662111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/87148 and 22\/94620941.\nAnswer: 378483764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10109562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46518.88kg to tonnes.\nAnswer: 46.51888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 7*y + 7. Let x be p(6). Let z = 21578 + -21578.4. What is the third smallest value in z, x, 2, -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 183 (b) -48 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 15*(-2)\/(-18) + 3280\/12?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-210)\/28*2\/(-3). Calculate the highest common factor of c and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 55\/20)\/(3\/636). Is -1420\/9 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-14)*g**(9\/5))**(1\/8) assuming g is positive.\nAnswer: g**(-61\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6370319903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + 0*c + 2*c)*(9 - 9 - c) - 3*c + 3*c + c**2 - 3*c**2 - c**2 + 3*c**2 + (c - 3*c + 3*c)*(-2 + 2*c + 2) to the form y*c**2 + q*c + h and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/2 or 3850?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a36 - -55?\nAnswer: 5a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -135.8*-6.3\nAnswer: 855.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2180*o - 845839. Calculate r(-388).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + n**2 + 2*n - 2*n**3 + 4*n**4 - 2*n as j + s*n + f*n**2 + g*n**4 + m*n**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 + 97. What is the remainder when (1753\/4 + 10\/i)*1 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-56))\/(3\/(-2) + 1). Which is the biggest value? (a) -119 (b) 4 (c) 1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -167, -425, -771, -1205, -1727?\n\"Answer: -44*m**2 - 126*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((2 + 4)\/(-3))\/(-1). Solve j*t = -3*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*p - 4*p + 54, 5*a - 270 = 5*p. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**2 - 3*w + 40. Determine o(6).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6\/(z**(1\/2)*z)*z**5*z**(-2)*(z**(2\/3))**(2\/29)*z**6*z\/z**(3\/2) assuming z is positive.\nAnswer: z**(1135\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 f when four letters picked without replacement from {j: 5, w: 3, f: 4, r: 3, t: 1, a: 1}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 - 37 + 148 = -30*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x + 6 = 0. Let y(a) = -a**2 + 2*a + 9. Let w be y(4). Solve 0 = -4*d + l + w, d - 2*l - x*l = 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 - -501\/4. Let x = -54 + 2. Let g = x - -52.4. What is the nearest to 1\/5 in z, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 3 + 1207 = 0. Let i be (-33)\/g - (-189)\/(-10). Is i at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -656, -2, -3, -32 in descending order.\nAnswer: -2, -3, -32, -656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 22*v - 63 = 0, 3*v + 3 = 3*o + v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.54 + 1.1. Let z = 0.06 - g. Let i = -3\/55 + 13\/55. Which is the nearest to 1? (a) 0.3 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5565\/(-3339))\/((-5)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757822.\nAnswer: 2, 13, 29147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 862507 = -249583. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 + -3 - -49 - (47 - -21 - 56)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, z: 3, o: 4}. What is prob of sequence zzz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 442*v - 76917. What is t(174)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914142623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = -12. Suppose 4*u = 3*t - 6*t + v, 0 = -5*t - 5*u. Let j = 2 + -2.5. Sort t, j, 3 in descending order.\nAnswer: 3, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*q**2 + 167*a**3*q - 23*q**2 - 2*q + 33 with respect to a.\nAnswer: 3*a**2*q**2 + 501*a**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 213*i - 623. Determine u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14563.\nAnswer: 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 367639 and 16978.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 6, 5*c = 2*i + 43. Suppose 2*m = -3*v + 79, -3*m + 167 = m + 3*v. Let l = m - i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1846923, 1846925, 1846927?\nAnswer: 1846929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.1 - 3.1. Let v be 2 + 9\/(-2)*1. Let j = v - -3. Sort 3, j, b in decreasing order.\nAnswer: 3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -4 + 2)*-1. Let u be 0 - (-3 + (r - -2)). Solve -h + u*b + 4 = 3*b, h - 2*b = 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-12 - 19) - (-8 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 7*o**2 - 10*o - 11. Let t be k(-8). Sort -2, 27, t in decreasing order.\nAnswer: 27, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -11*w**3\/3 + 3*w**2 + 5*w + 31. Let m(q) = -q + 1. Let k(i) = -2*b(i) + 22*m(i). Factor k(a).\nAnswer: 2*(a - 1)*(11*a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 120394 = 4*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 2*i - 5. Let b be d(3). What is the remainder when 57 is divided by ((-319)\/44)\/(2\/b)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:28 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000550357 rounded to 5 decimal places?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475 a factor of 2924867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*a + 1 - 3, -29 = -3*a + 5*p. What is the highest common divisor of 9 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23847141\/91469560 - -1\/326677. Find the common denominator of q and 107\/140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 6, k: 1, r: 4}. What is prob of sequence rk?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (50\/(-540435))\/(24\/658089). Let u = -6\/5147 - r. What is the common denominator of u and 44200\/(-11648) + (-6)\/(-32)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - u - 157 = -601, 0 = 2*k - 5*u - 244. Calculate the least common multiple of 196 and k.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12367*k**2 + 6178*k**2 + 6188*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 932 - 111. Suppose 163 + r = 4*b. What are the prime factors of b?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 10876935 = 44483065. What is o rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -x + 3, 2*c = -0*c - x. Let v(q) = q + 1. Let z be v(-1). Let u = z - c. Calculate the highest common factor of 5 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11333, -11348, -11391, -11474, -11609, -11808?\nAnswer: -12083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 593133576 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010 + -11101100?\nAnswer: -100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20574.099588 + -20574. Let t = -37.1 + 37.001. Let m = i + t. Round m to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3312*z - 24*z**2 + 3312*z. Let f(a) = -539*a. Determine r(f(y)).\nAnswer: -6972504*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 - 119*l**2 - 2280*l - 6. Give m(43).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-50) + 2 - (83901\/(-15) - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 1:56 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = -132. Let u = 192 + -76. Suppose 84 = -4*x + u. Calculate the remainder when p is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**4 - 19*w**4 - 76*w**4 + (-2 + w + 2)*(13*w**2 - 13*w**2 + 13*w**3) to the form j*w + m*w**2 + z*w**4 + r*w**3 + p and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10651 or 10652?\nAnswer: 10652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 148.9 * 3\nAnswer: 446.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l + 337. Let p be f(48). Let z = 189 + p. Let v(x) = 3*x + 13*x**2 + 1 + 0 - 12*x**2 + x**3. Give v(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbxrs. Give prob of picking 1 b and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2055*2066.\nAnswer: 4245630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxvsssvvsd. Give prob of sequence xvdx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xml when three letters picked without replacement from xlxxmxogg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 235*222\/(-15651)*-3*2\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/88 and -89\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 408230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**2 - 32*s + 18. Let i be p(4). Suppose 3*k - i*r = 2630, -k - r + 596 = -289. What are the prime factors of k?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-147)\/(209034\/(-13114)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9107*q**2 + 171*q + 14468694?\nAnswer: 18214*q + 171","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-12)\/n*n\/(n**(-2\/45)\/n) assuming n is positive.\nAnswer: n**(-493\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - b**3 - b**3)*((-5 + 3 + 3)*(-1 - 1 + 0) + 1 + 5 - 5 - 3 + 11 - 1).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*k + 362 = 0, -185 = -3*g + 3*k + 88. Suppose -a + 84 + g = 5*u, -u = 2*a - 33. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, y: 2, x: 4, j: 7, b: 2}. What is prob of picking 1 j and 1 y?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 1, x: 1}. Give prob of picking 1 x and 2 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, y: 5, x: 13}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 136 divided by -6\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -41, 1.6, -4, 10 in descending order.\nAnswer: 10, 1.6, -1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -0.8, -9, 2\/2005.\nAnswer: -9, -0.8, -0.11, 2\/2005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278216150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/5 + 353631856*v\/5 - 353631852\/5.\nAnswer: -4*(v - 88407963)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 4*w**2 - 16*w - 6. Calculate u(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:21 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(72) + sqrt(2))*3 + sqrt(2) + sqrt(8) + 3).\nAnswer: 3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 645 + -640. Suppose 4*z - 15 = -z. Find the second derivative of -4 - 2 + 2*p**n + 6 - z*p wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**7\/70 - 3*o**6\/8 - 23*o**5\/5 - 39*o**4\/2 - 40*o**3 + 2087*o**2. Find y, given that j(y) = 0.\nAnswer: -2, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 21. Let h(r) = -323*r - 3. Let l be h(-1). Suppose 0 = -4*j + 4*i + l, -j = x*j - 3*i - 404. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23520)\/(-3626000))\/(6\/111)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:37 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2461928 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*z - 3*f + 8, -z - 2*f - 5 = 0. Suppose 0*p = z*p + 20. Let b(w) = -2*w. Calculate b(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 123*p - 3983. Let t be j(32). Sort -3, t, 50.\nAnswer: t, -3, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 298 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9847 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24981 and 0.079?\nAnswer: 1973.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 + b**3 - 5*b**3 - 3*b**3 + 4*b + 6 - 11*b**2. Let h(t) = 5*t**3 + 12*t**2 - 4*t - 7. Let j(i) = 5*h(i) + 6*y(i). Calculate j(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-2)\/16). Suppose -b + 11 - 2 = 2*a, b = 4*a - 3. Let y be 0 - (-3)\/(3\/b). Which is bigger: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 10, -8*r + 11*r - 86 = x. What is the remainder when 31 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 32 = 48. Solve -5*g + p + 5 = -4*p, h*g - 17 = -3*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -265*n**4\/2 + n**3\/3 - 2607*n - 3358. Find the first derivative of g(o) wrt o.\nAnswer: -1590*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 104, 120, 140?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 7*q - 21883. Calculate o(123).\nAnswer: -5893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4754678.\nAnswer: 2, 2377339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2525424 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 23*f - 29. Let i be c(22). Let v(g) = -g - 10. Calculate v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + n + 26 = 0, -5*r + 0*r - 68 = 4*n. Let q be 2 - -3*(-2 + (-22)\/r). Let t = -9 - -6. Which is the third biggest value? (a) q (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and 385266837?\nAnswer: 385266837.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2467420 and 126260.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8060984 and -0.1?\nAnswer: -806098.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4090 + 1784 - 1357 - 3*a + a as i*a + w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -22*q. Let x(b) = 2*b**2 + 10*b**2 + 14*b**2 - 13*b**2. Give x(z(i)).\nAnswer: 6292*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30490 + 48\/6 + (-5 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*c + 1 = -3*p, -2*p - 2*c = -10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*i + 38. Let n be (3 - 39\/i)*5. Solve -4*t + 35 = -3*u + 6*u, 10 = n*t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 620, 0.4, -1, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 481454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*c**2 + 8*c - 142 - 184*c**2 - 189*c**2 - 3*c.\nAnswer: c**2 + 5*c - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 16. Which is the nearest to -0.4? (a) 0.4 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 0 + (-121460)\/(-15 + 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -58 - 20 - (1 - 21)) + -48?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 5*t + 4. Let f = 39 - 36. Suppose -178 = 4*m - j, 0 = 3*j - f - 3. Let k = -47 - m. Calculate y(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 50 + -23 - (56 - (2 - 0))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9 = -6. Suppose 3*k = 0, -4*n - 2*k = -6*k. Solve h - x*h = n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-634)\/10 - 16\/(-40). Let u be (-60)\/l - 8\/28. Determine z, given that 0*z**2 - u*z - 1\/3 + 2\/3*z**3 + 1\/3*z**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 4297914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**48\/(((r**(-5\/4)*r)\/r)\/(r\/r**(2\/29))))\/((r**(4\/9)*r)\/r**(-1\/3)*(r\/(r**(-3)*r))\/r**(-3\/7)) assuming r is positive.\nAnswer: r**(328675\/7308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 2\/3 (c) 0 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118736 - 188736. What is p rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 251051031?\nAnswer: 1004204124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160 + 280. Let v = 44 + m. Suppose 66 = k - 3*c, 4*c - 147 = -5*k + v. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/11, -2\/5, -0.12, -2\/7?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 603, 1217, 1831, 2445, 3059, 3673?\n\"Answer: 614*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**3 + 6*t**2 + 7*t + 7. Let l(w) = w**3 + w**2 + w + 1. Let m = 572 - 566. Determine m*l(f) - r(f).\nAnswer: f**3 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1694 is divided by 290.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26588 and 6095.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (19 + -11 + 1 + 11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1\/8 - (-2)\/(-16). What is the second biggest value in 58, 0.07, m?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b + 25 = -5*s, 0 = -2*s - 10. Sort -19, b, -1, 1 in decreasing order.\nAnswer: 1, b, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-3)\/(-22).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 131 - 49. Suppose -44*u + d*u + 7 = 0. Let x(b) = b**2 + b + 7. Let k be x(u). What is the greatest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 1190?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 8*n**2 - 6*n + 7. Let d be j(-7). Let b(u) = -5*u - 2. Let t(y) = -3*y + 3*y + 1 - y. Let p(c) = b(c) - 4*t(c). Determine p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*a**3 + 431*a**3 + 53*a**3 + (-3*a**2 + a - a)*(2 + a - 2) in the form u*a**2 + y*a + i + j*a**3 and give j.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 93 = 87. Let c = q - -2253. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**4 - 222853*z**2 - 2235*z + 561.\nAnswer: -12*z**2 - 445706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.08. Let j = -3.92 + m. Let y = 1 + -4. What is the second smallest value in -1, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aal when three letters picked without replacement from {l: 2, x: 1, w: 1, s: 1, r: 1, a: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 - -152. Calculate the common denominator of -5*-1*1\/(-6) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -20*d - 42. Let b(j) = -9*j + 1. Give -b(f) - i(f).\nAnswer: 29*f + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/64 of a hour?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98032 and 44.\nAnswer: 98032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.068 - -0.032. Round p to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48173423 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 547*y + 162835. What is a(-214)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 400*h + 20*h**2 + 6178 + 15*h**3 - 20*h**3 - 5218 = 0.\nAnswer: -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99.5+-0.04\nAnswer: -99.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 249 + 1350 = -21*t for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 433622167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -448981059.7 rounded to the nearest 100000?\nAnswer: -449000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16980, 16989, 16996, 17001?\nAnswer: 17004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*p - 220, -4*n - 2*p = -7*p - 189. Let v = n + -285\/7. What is the second smallest value in 1, v, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*(-9)\/18*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*j**2 + 3 + (3*j**2 - 2*j**2 - 3*j**2)*(1 - 1 + 2))*(4 + 2*j - 4)*(13*j + 5*j - 27*j).\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7332598417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5466.877 milligrams?\nAnswer: 0.005466877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqoffrhrc. What is prob of picking 1 q and 2 r?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvzuzl. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5200) + -1*sqrt(5200) - sqrt(5200))\/(sqrt(64)*-2))**2 + -2*(sqrt(468) + (-5*(1 + sqrt(468)))**2) + -4.\nAnswer: -374939\/16 - 612*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34267791 to the power of 1\/2, to the nearest integer?\nAnswer: 5854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 40. Solve -1 + 21 = j*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12606332087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 0*s**2 + 1\/75*s**6 + 0 - 1\/30*s**4 + 1\/50*s**5 - 1\/105*s**7 + 4*s + 0*s**3. Determine v so that g(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12459 - 149371\/12. Find the common denominator of 95\/66 and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 26*r - 1069. Let l = -30 + 47. Calculate the remainder when b(43) is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.294658032 rounded to 3 dps?\nAnswer: -30.295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.203 - -0.19926. What is i rounded to four dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 64. Suppose -17 = 2*u - k. Let m be (-4)\/(-5)*(-2)\/(-8). Which is the biggest value? (a) -0.5 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4222*u = 3850*u - 21204 for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*h - 3*h = 1, 95 - 86 = 3*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/100? (a) -5 (b) 1 (c) 5 (d) -0.5 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -94.865 - -13816309.87\nAnswer: 13816215.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -17) + 71 + (-17 + -35 - -39).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 61 + (7 - 6 - 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**2 + 2 - 2 - 8*f**2. Let q(s) be the first derivative of 3*s**2\/2 + 1. Give n(q(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = -84. Calculate the remainder when 81 is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 3:33 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -242 + 183. Let i = s + 59. Are i and 1.8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/80484 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -618*p**3 - 78*p**2 + 76*p + 3. Determine l(1).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(4 - 38\/8). Suppose s*p - 22 = 20. Differentiate -9 + 9 - p - 2*a**4 + 10*a**4 wrt a.\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560741*q - 268131*q - 209861*q.\nAnswer: -1038733*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2872 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053 - 474 + 279 = 156*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 469995 to the power of 1\/2, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 4*a - 2*a**2 - a + 2*a**3 - a - 3*a as m*a**2 + r*a**3 + i*a + z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11964453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 15*i**3 - 4*i**2 + 6*i - 1. Let c = -36 + 38. Is n(c) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10138 and 10947670?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2*30\/8*(-26)\/(-130))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-four fifths of a century?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnwbbnbbenbdwj. Give prob of sequence ne.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78618112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6145 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-50))\/((-2)\/(-30)). Let u be 4\/3*(327\/c + -8). Suppose -3*l + 8*l - 310 = 0. Is l less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 22. Let w(r) = -7*r - 1. Suppose -p = -3*p + 6. Let n be w(p). Let k be ((-3)\/(-6))\/(2\/(-8)). Let q(h) = 2. Give k*s(c) + n*q(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*262859\/(-85582)?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (4 - (6 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**2. Let d(y) = 31*y - 195. Calculate h(d(b)).\nAnswer: -5766*b**2 + 72540*b - 228150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -179844, -179805, -179740, -179649?\n\"Answer: 13*i**2 - 179857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffnffnf. What is prob of sequence nf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 3*g)*(-22 + 45 + 2*g - 25).\nAnswer: 4*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 4212?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -7*h - 1\/6*h**4 + 0*h**3 - 4 + 0*h**2. Let v(s) = 18*s**2 + 2*s**2 - 2*s**2. What is v(x(i))?\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.082 * 99947\nAnswer: -8195.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 28*z**2 - 24*z - 22. Is d(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31829 = -33*m + 31004 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 2603*c\/2 - 520923.\nAnswer: -(c + 494)*(c + 2109)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-11)\/(44\/40). Find the common denominator of s\/27*(-5)\/2 and -1 - 2 - (-178)\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from fffr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 7*j + 50. Sort 0, -0.4, -0.2, j in increasing order.\nAnswer: j, -0.4, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9827 and 20605.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = 0, 4*z + 4*f - 36 = 72. Solve -z*s + 92 = -48*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/16*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*k + 27 = -h, 50 = -6*h + 2*k for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1338 + 1344.17. Let c = 6 - j. Let d = c - -0.07. Which is smaller: -2\/7 or d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*w**2\/5 - 24648522*w\/5 + 67782528.\nAnswer: 6*(w - 1027008)*(4*w - 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120201012212 (base 3) in base 4?\nAnswer: -13100233121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (3*sqrt(931)*1)**2 - (-5 + (sqrt(931) + 0 + sqrt(931))**2) - (1*(4 + 1*sqrt(931)))**2) + -2.\nAnswer: -13047 - 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 75\/(-6)*12. Let t = c + 181. Calculate the greatest common factor of 21 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 4*b + 1 + 2*b + 2*b - 3*b + 0*b + 2*b + 0*b - 3*b + (b + 1 - 1)*(-6 + 3 + 1).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 - 9.3. Let x = r + 15. Sort 0, 1\/10, x in ascending order.\nAnswer: 0, 1\/10, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75.16175 millilitres?\nAnswer: 0.07516175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 18*i + 21*i - 3 = 0, 0 = -5*x + 4*i - 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -120. Suppose l = 6*z - 23 + 5. Solve 0 = z*q - 0 - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259731.3 rounded to the nearest 1000?\nAnswer: 1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 8, 4, 0, 3, 6350 in increasing order.\nAnswer: -3, 0, 3, 4, 5, 8, 6350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > -1887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i - 18. Solve 2 + i = 4*d, -4*d + 10 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25351 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16\/17711, -0.3, -2\/79?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5645*k**2*o**2 + 2*k**2*o + k*o**2 - 85450*k*o - k - o**2 wrt o?\nAnswer: 11290*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12794.3935 take away -9734?\nAnswer: 22528.3935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30298, 30330, 30400, 30526, 30726, 31018, 31420, 31950?\n\"Answer: 3*w**3 + w**2 + 8*w + 30286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -22*d + 43*d + 9 - 24*d. Let q be n(7). Let f be (-9)\/q*(-8)\/(-3). Solve 0*i = -f*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + ((sqrt(833) + sqrt(833) + (sqrt(833) - 2*sqrt(833)))*-4)**2 + -2).\nAnswer: 79938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 + 2*i + 2*i - 4*i.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42627130 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 8*r = 14. Suppose 5*z - y = -0*z + 629, -251 = -r*z + y. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -405681*z + 1076692?\nAnswer: -405681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*q - 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33605 and 335660.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) -3.56 (c) -4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 167801, 167792, 167783, 167774?\n\"Answer: -9*q + 167810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 729 and 108.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 40 = 4*z, -2*c + 212*z - 215*z + 15 = 0. Put 0.09, -1\/4, -1.3, c, -0.2 in ascending order.\nAnswer: c, -1.3, -1\/4, -0.2, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 - 8.32. Let j = -1.5 + a. Let m = j + 6. Sort m, 2, -2 in descending order.\nAnswer: 2, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = 27*f + 916 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - 0.2. Let f = -2773\/4914 + -5\/702. Which is the closest to i? (a) 3 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -31*m**2 + 788*m - 3366. Calculate q(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + 0.53. Let z be (1235\/(-76) - -18) + 0 + -1. Which is the second biggest value? (a) z (b) 2 (c) -1\/10 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = 4*w, -4*l - w - 2 = -0*w. Suppose l = 4*c - 9*c. Suppose -3*f + 0*f = c. Solve 5 = -4*b + 3*p, f*b = -b + 3*p + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and -36.6?\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45415, 45328, 45241?\nAnswer: 45154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2594.5 + -2597. What is the third biggest value in 8, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2*4\/2. Solve 6 = 4*y + s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 66, 159, 278, 417, 570?\n\"Answer: -k**3 + 22*k**2 + 2*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -693, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51601.\nAnswer: 11, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12918, 25830, 38742?\n\"Answer: 12912*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42493 and 19315.\nAnswer: 212465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*x + 331, -d = 4 - 1. Let m = x + -112. Suppose -m = -3*y + 2*p, 24 = 4*y - 4*p - 48. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**2 + 4*x - 3. What is the tens digit of m(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 10. Let d(m) = -m + 3. Let i(t) = 4*c(t) + 14*d(t). Let g be i(-5). Suppose 4 = -2*f + g, 0 = -5*v - 4*f + 26. Solve 6 = -4*q - v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r. Let x(w) = 8477*w**2. Calculate x(h(m)).\nAnswer: 76293*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjkkj. What is prob of sequence kj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1936.8, 1\/5, -3, -0.0647?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7. Let c = 23 + -22.7. What is the nearest to h in -0.2, c, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 8*j**2 - j + 8. Let q be ((-16)\/(-10))\/((-3)\/(-15)). Let y be w(q). Suppose y = 12*l - 14*l + 1042. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 63*t - 38. Let j be y(2). Solve j - 93 = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43ad (base 14) in base 11?\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14.1948+-130435636\nAnswer: -130435621.8052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from eefooeoo.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 62*k**2 - 26*k - 5. Let a(m) = -90*m**2 + 38*m + 7. Let c(x) = 11*a(x) + 16*b(x). Suppose 3*d = -2*i + 10, 5*i + 3*d = 4*i + 8. Determine c(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(153)*1*-6)\/(-6*(sqrt(27)\/sqrt(3)*6 - (sqrt(9) + (sqrt(9) - (2*sqrt(81))\/sqrt(9))))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000940979034 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9878.832l in millilitres?\nAnswer: 9878832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/512 and -59\/1984.\nAnswer: 15872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 765 and 3060?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 1 + 1)*(0 + 1 + 2 - q).\nAnswer: 3*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -324*y - 995*y - 5724*y + 282*y to k*y + n and give k.\nAnswer: -6761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.44 - -2.504. Let w = g + 0.056. Let v be 24\/(-11) + 12\/66. What is the nearest to -0.07 in 0, w, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-7))\/(2\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**2 + 1. Suppose -19*o - 52 = -m, 32 = -4*o - 4*m - 0*m. Let h(d) = 5*d. Determine o*h(f) - 5*i(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 7) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 712*p**2 + 4*p - 2848.\nAnswer: -(p - 712)*(p - 2)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585196 divided by -146299.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 + (0 - 3)))\/((-778)\/8947)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1669026, 3338027, 5007026, 6676023, 8345018, 10014011?\n\"Answer: -u**2 + 1669004*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, 36664, -18, -3\/7 in ascending order.\nAnswer: -18, -3, -2\/3, -3\/7, 36664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**24)**(5\/13))**(-39))**(-29) assuming k is positive.\nAnswer: k**10875","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120453\/34 + 3543. Let o = -4\/17 - m. Which is the biggest value? (a) 3 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -96*v + 30*v + 2*h + 110 - 33, 2*h - 1 = h + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttqttutttttqttgt. What is prob of sequence ttqg?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246078654, 492157311, 738235968, 984314625?\nAnswer: 1230393282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10\/3*m**5 + 16\/5*m**3 - 6*m**4 + 0*m + 0 - 8\/15*m**2 = 0. Calculate m.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 0.42005.\nAnswer: 0.02005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (-5 - (-8 - (-2 + -6)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81366*m**2 + 82493 with respect to m.\nAnswer: -162732*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-3)\/30*-2. Let o be (-4)\/(-38) + 4*(-147)\/532. Let z = -303\/518 - -1\/74. Put z, -4, o, n in descending order.\nAnswer: n, z, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.198 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/30 + (-2)\/(-5). Suppose -48 = 5*z - 148. Suppose 18*p - z*p = 4*i - 8, -4*i = p - 10. Which is the nearest to o? (a) 5 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - ((-10 - 1) + -5 + 13).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.67 - 1.07. Which is the smallest value? (a) -0.2 (b) 2\/5 (c) 0.09 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-72))\/((45\/40)\/3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393 - 11*x - 770 - 13*x + 377.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4\/5 + 6*j**3.\nAnswer: -3*j**3*(j - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 + 2*s. Let c be b(3). Suppose -5*g = -152 - 3. Let x = g - c. Let n(k) = -7*k - 4. Let m(p) = -13*p - 7. Give x*n(a) + 6*m(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqy when three letters picked without replacement from {y: 2, w: 1, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27227734 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 21 + -12 + -6 + -5 + -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*r - 0. Let x(i) = i + 4. Let c(f) = f + 9. Let g(d) = 2*c(d) - 5*x(d). What is the tens digit of g(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 2*a + 4. Let i be n(1). Suppose x - i*x - 9 = 0. Let p = -2 - -4. Put 1, x, p in ascending order.\nAnswer: x, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2081 times -66.3?\nAnswer: 137970.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -7, -18, -31, -46, -63?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*o**2 - 226*o**2 + 456*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30627 + -20579. Is u a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 88*a**2 - 8*a - 4. Let g(q) = -q**2 + q + 1. Let f(s) = 8*g(s) + i(s). What is the derivative of f(v) wrt v?\nAnswer: 160*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**8\/84 - 8*o**7\/105 - o**6\/10 + 10*o**2. Solve q(v) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/3)*x**(-9)*x)\/(((x*x*x**(-24)\/x)\/x)\/(x**(-22)\/x)) assuming x is positive.\nAnswer: x**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.31 - -0.41. Let p = -2.9304 - w. Let a = p - -0.03. What is a rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 7*d**4\/4 - 5*d**3 + 5*d**2 + 31*d + 148. Is a(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/147*(-42)\/(-66)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115253257, -230506514, -345759771, -461013028, -576266285, -691519542?\nAnswer: -806772799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-2 + -6 - (-26 - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1810 - 1219. What is the remainder when h is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -72*r**2 + 5*r - 4. Let q(j) = 73*j**2 - 6*j + 5. What is 5*q(v) + 6*x(v)?\nAnswer: -67*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-18))\/(6\/27).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*m + 3*m**2 - 4*m**2 + 4*m - 7*m in the form i*m**2 + q*m + c and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, -1, -2, 25, -116, -3 in increasing order.\nAnswer: -116, -3, -2, -1, 1, 21, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + -1 - (-10312)\/4?\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1 = -r - c, 2*r - 3*c = 0. Suppose 0 = -r*v + 58 + 5. What is the greatest common divisor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2539 (base 10) to base 14\nAnswer: cd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2390, 2651, 2924, 3215, 3530, 3875, 4256, 4679?\n\"Answer: l**3 + 254*l + 2135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -187, -219, -271, -349, -459, -607?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 = 4*j. What are the prime factors of j + 53 + 0\/4?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((13 - 4) + -23 + 16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 9 + 1 = i, i + 5*p = 19. Suppose -u - 5 = -x + 20, 4*u = 3*x - 75. Let r = x - i. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465205 (base 7) in base 2?\nAnswer: -10100010111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9458279 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/40 and -7\/19500.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -224\/47, 0.325, -2\/27?\nAnswer: -224\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 10. Let x be i(-3). Let y(v) = -2*v**2 + 14*v + 2. Let t be y(x). Find the third derivative of -30*m**6 - 5*m**6 + 10*m**t + 7*m**6 wrt m.\nAnswer: -3360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-88) - -1*2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326991294 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -428441\/60 + 21406\/3. Find the common denominator of -137\/30 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21556674, 43113349, 64670024?\nAnswer: 86226699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-20)*22\/9)\/((-135)\/162).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 10 - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8200 - 4*m - 4031 - 4102 as i*m + o and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36831180 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, g: 3, t: 9, j: 3, a: 2}. What is prob of picking 3 g?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - l = -2*l. Factor l*p - 2 + 9*p**2 + 2*p**4 + 10*p**3 + 6 + 9*p**2 + 14*p.\nAnswer: 2*(p + 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 1. Let o = -98 - -46. Let b = o + 56. Let q(z) = -1. What is b*q(r) + 3*v(r)?\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - 15\/(-22). Let s = 155 - 154.9. Let y(b) = b**3 + 2*b**2 - b - 4. Let n be y(-2). Sort n, z, s in descending order.\nAnswer: z, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 705 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*f - 28 = 0, 3*n + f - 69 + 96 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*p = -0*o - 20, 0 = -5*o + 4*p + 48. What is the remainder when 22 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -38*g - 278. Let h(p) = -25*p - 184. Let z(l) = 7*h(l) - 5*i(l). Let j be z(-5). What is the highest common divisor of 216 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1440662, 2881306, 4321950?\nAnswer: 5762594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -287*c*x*y**3 - 4*c*y**3 - 22*c*y - 3*c + 293*x + 5*y wrt x.\nAnswer: -287*c*y**3 + 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9331271171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*p = -13 - 5, -10*q + 6*q + 8*q = -2*p - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - -1d00b66?\nAnswer: 1d00b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 + 25*h - 1. What is the units digit of x(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231105*d**6 + 122*d**2 + 904.\nAnswer: 27732600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -343, -3\/8, 2\/3 in decreasing order.\nAnswer: 2\/3, -1\/6, -3\/8, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 + (-2)\/4*-18 - (-3728)\/(-26). Which is greater: c or -146?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*i*m - 18827580*g**3*m**3 - 2*g**3*m**2 + g**2*i*m**3 - g**2*m**2 - 12332*g*i + 13 wrt m.\nAnswer: -112965480*g**3 + 6*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (302085\/378)\/137 + (-5)\/1\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 7*v**6\/30 + v**4 - 17*v + 29. Let p(d) be the first derivative of z(d). Find the third derivative of p(q) wrt q.\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -748*o**3 + o**2 - 1. Let h be a(-1). Suppose 6*n + h = 2*n. Let l = n + 263. Does 22 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 w, and 1 f when four letters picked without replacement from yzzazzozfwzzyaw?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w + 16 = 0. Let c = -88 - -91. Suppose -5*a + 86 = w*y - 3*a, 110 = 5*y + c*a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 + 87*s**2 + 55*s**2 - 13*s**2 as v*s**2 + o + d*s and give v.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (14 + -13 + 0 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -409 (base 15) in base 2?\nAnswer: -1110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i**2 + 11*i - 7. Let h(o) = -5*o**2 - 6*o + 4. Let z(p) = -4*f(p) - 7*h(p). Let l(n) = -63*n - 2*n**2 - 4*n**2 + 60*n. Determine 3*l(y) - 4*z(y).\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 n when three letters picked without replacement from {n: 5, v: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-110)\/(-45) - (-5480)\/(-34524). Let f = -4\/245 - -284\/245. Factor f*i - 1\/7*i**2 - q.\nAnswer: -(i - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490) - (sqrt(490) + 2*sqrt(490)))\/(1*(sqrt(8)\/sqrt(4) + sqrt(2))).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**4 + 68*g**3 - 176*g**2 + 112*g = 0?\nAnswer: 0, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = r + r. Let h(x) = x**2 - 6*x + 5. Let t(p) = 3*p - 3. Let c be t(3). Let g be h(c). Sort g, r, 4.\nAnswer: r, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p**2 + 19*p + 821. Let f be v(44). Is f bigger than -17703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 157, 202, 247?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -698 - -696. Let b(m) = -m + 20. Let q(s) = -3*s + 40. Determine l*q(r) + 5*b(r).\nAnswer: r + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let h be (-6)\/(-3) - (-2)\/2. Put k, h, -1 in decreasing order.\nAnswer: h, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 3334?\nAnswer: -3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -11. Let c be (-816)\/(-132) + n\/(-11). Solve f + c = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14900954254 less than -0.06?\nAnswer: -14900954254.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 9 = -17*o. Solve -4*i + 4 = 4*w, -w + 1 = -5*i - o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Let p = 38.2 + -42.2. Sort p, j, -1.\nAnswer: p, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Let o(u) = 13*u**2 + 13*u - 5. Let z(x) = 6*x**2 + 6*x - 2. Let g be (-18)\/(-5)*(-10)\/4. Give c*o(b) + g*z(b).\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/5 - 566564*c**2\/5 + 1019842*c - 7932148\/5 = 0?\nAnswer: -283291, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1182 and 9330648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-91)\/252*-28 - (1 + (0 - -6)). Factor -64\/9*b**2 + m*b**4 + 4\/9*b**5 + 32\/9*b**3 + 0*b + 0.\nAnswer: 4*b**2*(b - 1)*(b + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 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: Let f = -17.17 - -3.17. Suppose w + 11 + 3 = 5*q, 0 = -5*w + 5*q - 10. What is the smallest value in 2\/3, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -15*l - 8. Calculate b(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 77.9. What is the closest to 1 in 2\/5, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 351196463, 351196461, 351196459, 351196457, 351196455?\n\"Answer: -2*r + 351196465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/25)\/(21\/(-20)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v - 4*v**2 - 5*v**3 + 4*v**3 - 7*v. Determine n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-4 + 16 - 17*c + 18*c).\nAnswer: -c - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1015 - 4975 = 165*v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 9*f**2 + 5*f - 33. What is q(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.8, 5, -4, 3, -112 in ascending order.\nAnswer: -112, -4, -0.8, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + 1 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16370, -25611, -34852?\n\"Answer: -9241*v - 7129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -118.6637 to 2 dps.\nAnswer: -118.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*p, 0 = 3*o - o - 2*p + 6. Suppose -4 = 4*a - 24. Sort o, a, 1 in increasing order.\nAnswer: o, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157184*y**3 + 91985*y**2 wrt y.\nAnswer: -943104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4782 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4)**(-1\/30)*g\/(g*((g**5*g)\/g)\/g)*g\/(g**(1\/6)\/g) assuming g is positive.\nAnswer: g**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2109 + 2108.6. What is the nearest to 0.1 in -3\/2, 2\/5, 1\/24, w?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**2 - 6*n**5 + 380 + n**3 - 380 + 3*n**3 wrt n?\nAnswer: -360*n**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2292 times 0.4\nAnswer: -916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1751512 is divided by 134730?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11c3d (base 14) to base 12\nAnswer: -21267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -1225?\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48370*k + 927 - k**3 + k**3 + 48373*k + k**3 - 4*k**3 to the form m*k**3 + u + i*k + j*k**2 and give u.\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42921989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -20*n**3\/3 - 835. Let g(a) = -37*a. Give h(g(p)).\nAnswer: -27380*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 7*o**2 - 9*o - 8. Suppose -2*r - 4*t = -3*r - 3, -2 = 2*t. Is f(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b**2 + 11*b**2 - 8467*b + 8467*b + 5*b**2 + 7*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 15 + 3)*(0*v + 2*v - v + (0 + 4 - 6)*(-3*v + 3*v + v) - v + 0*v + 0*v).\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.88 - 5.9\nAnswer: -5.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/224 and -39\/14?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17a (base 12) to base 15\nAnswer: -10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*-4*12\/80?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -6.04. Let j = x - -11. Let u = 5\/651 + -661\/1302. Which is the smallest value? (a) -4 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38280 - 38228. Suppose -o + 108 = -46. Calculate the remainder when o is divided by p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 + 15 = 5*l. Let y = 16 + l. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c - 3*c - 4*c + 5*c - 3*c + (-c - c + 4*c)*(4 - 2 - 3) - 3*c + 2*c - 2*c + 5*c - 2*c - 2*c)*(323*c - 70 + 70).\nAnswer: -1615*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2762*c - 27553. Give x(10).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 7. Let u be t(0). Sort 0, 5, u in increasing order.\nAnswer: u, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(18)\/(sqrt(6) - sqrt(6)*-2 - sqrt(6))) + (-1*sqrt(147) - sqrt(3)) + 0 - ((4*sqrt(144))\/sqrt(8))\/(sqrt(18)\/(sqrt(15)\/sqrt(5))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 - 0) - 2. Let j be 19*w*24\/(-12). Suppose -4*y + 2*m = -2*y - j, 101 = 5*y - 3*m. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f - 52. Let c be w(-16). Suppose -3*o - 4 - 4 = -5*g, -5*o + c = 2*g. Let q = 29 - 16. Solve -g*l = -7 - q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/19)*o*o**(-9))\/(o**11\/(o\/(o\/(o\/o**(-1\/8)))*o)) assuming o is positive.\nAnswer: o**(-2549\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**6\/3 + 2*s**2 - 8. What is the second derivative of j(u) wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 11:39 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -2560661?\nAnswer: 2560660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1564629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 183779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(-2*s**2 - s**2 - 5*s**2) to a + m*s + l*s**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/61)*n**(-41))**(-46) assuming n is positive.\nAnswer: n**(115092\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 3*o**2 - 3*o**2 + 2*o - 2*o - 2*o**2 + (1 - 1 - 1)*(4*o**2 + 0*o**2 - 5*o**2) + 0*o**2 + o**2 - 3*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g. Let t(x) = -1. Let p(a) = o(a) - 2*t(a). Suppose -131*v + 36 = -37*v - 152. Calculate p(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*h**2 - 67*h**4 + 30*h**2)*(6 - 25 - 17)*(4 - 2 + 0) as f*h**3 + q*h**4 + z*h**2 + i*h + v and give q.\nAnswer: 4824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23128 is divided by 11527.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 6167.\nAnswer: 60\/6167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a2a (base 11) to base 12.\nAnswer: b604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -160200 (base 7) in base 11?\nAnswer: -21585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001488 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:57 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(1638\/(-28))*2\/4.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - 4*s + 5*s)*(3 + 21 + 12) as v*s + a and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbghbhbzhhpbp. Give prob of sequence hgdp.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzdfzzjjofjff. What is prob of picking 1 j, 1 z, and 1 d?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16 - 8 - 5 + 6 + 28*t**4 wrt t?\nAnswer: 112*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 + 5*v + 5. Let q(t) = -2*t - 2. Give -2*n(y) - 5*q(y).\nAnswer: 2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 328637\/36057 - 933\/101. What is the common denominator of b and -69\/28?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -40194\nAnswer: 100\/20097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 99*q**2 - 20*q + 57. Is g(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33789 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {s: 16, g: 4}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 69 = -3. Let w(m) = 6*m**3 + 4*m**2 - 4*m - 6. Let s(y) = 3*y**2 - 203*y + 17*y**3 + 192*y + 7*y**2 + y**2 - 17. Give u*w(x) - 4*s(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/345)\/(495\/45 + 155\/(-15))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 3*t**2 - 8*t + 7. Let l be k(5). Let d = 708\/5 - l. Which is the nearest to d? (a) -3 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70806059297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*j)*(11 - 11 + 2*j**3 + (j**2 - 4*j**2 + j**2)*(-2*j + 2 - 2)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -843 - -859. Solve 5*h + q + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.665 + -7.965. Which is the third smallest value? (a) 26 (b) -1 (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10176 and 962851424?\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -f - 4*f. Suppose f = -v - 3. Find the common denominator of 1 - 1 - (-165)\/v and 32\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2258*s - 4*s**2 - 4707*s + 2449*s - 2*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 6 + -2 - 0. Let h be 10\/2 + (-8)\/2. Solve -5*t - 5*q = 10, -t = -f*q + h + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*p - 2*n + 663, 5*n = -2*p + 442. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.41 - -6.61. Let h = o - 6.185. Let j = h + -0.015. Sort 4, j, 0.2, 1\/8 in increasing order.\nAnswer: j, 1\/8, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = t - 2, 3*t - 5*g = 6*t - 6. Suppose 0 = t*h - 9*h - 70. Is h bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 6*i + 7. Let v be w(6). Suppose -t = -v - 1. Suppose 5*q = q - t. What is the nearest to -2\/3 in 5, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 8*s**2 + 15*s - 16. Calculate the remainder when u(5) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158897 + 135343. Suppose 0 = 5*f - u + 986180 + g, -3*f - 768250 = -u. Let o = f - -456085. Round o to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 + 756*h**4 + 9*h**3 - 2274*h**2 + 1512*h = 0. What is h?\nAnswer: -2, 0, 1, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 - (137 + (-4 - (-9 + 18)) + -7)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:11 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -4, -1096*t + 8 = -1097*t - 4*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(1 - (-1 + -1 + 1)). Suppose 1 - 6 = m. Put u, m, 4 in decreasing order.\nAnswer: 4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*w - 5, 4*m + 0 - 12 = 0. Which is the closest to 0.18? (a) -1\/3 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 2:34 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917*b = 1656*b - 846*b - 1070 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k + 491 - 246 - 244 in the form a + c*k and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 509 - -211. What is z rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**3\/3 - u**2 - u + 6. What is j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -6*k - 47. Suppose -9 + 229 = 4*d. What is the remainder when d is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5823 is divided by 234.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 240.747 and -8407.5.\nAnswer: -8166.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (551 - 551 + 44*u)*(-2*u**3 + 6*u**3 - 6*u**3).\nAnswer: -88*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 less than 3.358?\nAnswer: -165.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 25 = 0, k - 6*j = -7*j + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173 or -172?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60, 124, 188?\n\"Answer: 64*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 3*x**2 - 9*x - 7. What is the derivative of b(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(88)*1 + 4*(sqrt(88) + sqrt(88)*-2))*4)\/((2*sqrt(224))\/(sqrt(7) + sqrt(7) + (sqrt(70) + sqrt(70)*1)\/sqrt(10)))*4)**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 34*b**2. Let s(v) be the third derivative of -v**5\/12 - v**2 + 1. Give s(c(d)).\nAnswer: -5780*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68494702 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-2\/33)))\/d)\/d*d**(-22\/9)*d assuming d is positive.\nAnswer: d**(-347\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.8398 - 0.1602. Put 0.5, 0.4, i, -5 in ascending order.\nAnswer: i, -5, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 2*r + 8. Let x be v(0). Suppose -4*h + x*h - 14 = -5*a, 2*h + 4 = 3*a. Solve 2*g - 3*j - 10 = -h, -3*g = 5*j + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m - 6 + 82 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -287595*i**3 + 2*i - 81973.\nAnswer: -862785*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t + 154. Let s be n(-15). Solve -s*m = 4*h + h - 29, 4*h + m = 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-7\/4))\/(y*y*y*((y\/((y\/(y*y**(8\/13)\/y))\/y))\/y)\/y)*(y\/y**(-3\/5))**(-19\/4))**(-2\/27) assuming y is positive.\nAnswer: y**(647\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q - 2 = -67*q. Let d(t) = -t**3 + 2*t**2 + 2. Let s be d(2). What is the first derivative of -2 + 2*r**2 - 19*r**2 + 10*r**s - q wrt r?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1366, 1421, 1528, 1717, 2018?\n\"Answer: 5*w**3 - 4*w**2 + 32*w + 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82, 67, 50, 31, 10, -13, -38?\n\"Answer: -v**2 - 12*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from mssm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/190 and 107\/32984?\nAnswer: 164920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 - -134. Suppose 0 = 3*a + y + 93, -16 = c*y - 4. Let r = 40 - a. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -11, 5, -1, -12, 2, -2 in decreasing order.\nAnswer: 19, 5, 2, -1, -2, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -56*f**5\/5 - 5*f**4\/2 - 60*f. What is the third derivative of z(m) wrt m?\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 + 84*o + 319. Give y(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069 + 1079 - (-8 + 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 8.5. Let g = 5 + l. What is the nearest to 1 in -1\/6, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -59. Let y be 6\/8 + i\/(-12). Suppose -3*b - y*t + 88 = 0, -b + 0*t - 3*t + 24 = 0. Calculate the remainder when 70 is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 128\/(-66) + (-71)\/(2343\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5892)\/84 + 1\/1 - 4. Let h = -72 - q. Find k, given that 2\/7*k**5 + 0*k**2 + 8\/7*k**3 + 0*k + 0 + h*k**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 2*d**3 + 0*d**2)*(-2 + 1 - 1) - 21*d**3 + 49*d**3 + 40*d**3 + 14.\nAnswer: 64*d**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 42, 113, 234, 417?\n\"Answer: 2*o**3 + 7*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 12. Let k be l(-3). Suppose 5*z + p - 22 = 0, p = -3*z - 0*p + 12. Suppose -k*c + z*c = -505. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/475456 and 37\/1311380.\nAnswer: 482587840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 277*v**4 - 1562 + 1562 + (2*v**4 - 3 + 3)*(1 + 0 - 2).\nAnswer: 275*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-24) - 1454\/(-9156). Let i = d - -26741\/4578. Let j = 649 + -5854\/9. Calculate the common denominator of j and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 - 14 = 0. Does g = -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145 + -163. Which is the third smallest value? (a) i (b) -2\/3 (c) -1\/3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 6\/7 (c) -0.3 (d) 0.065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by 156.\nAnswer: -61\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 - 2*j**2 - 2*j + 1. What is the remainder when s(-2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 10*n**2 - 2*n + 6. Let w(z) = 3*z**3 + 11*z**2 - 3*z + 6. Let b(g) = -3*w(g) + 4*x(g). What is the tens digit of b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f + 24. Let r(g) = -g**3 - 16*g**2 - 61*g + 10. Let m be r(-9). Is (f\/m)\/((-5)\/(-580)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703416 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a + -15747?\nAnswer: -1571b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(2 - 6 + 3)*(y + 4*y - 4*y) as f*y + u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {m: 2, d: 1, y: 4, p: 1, x: 1, b: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 4*v**2 - 2*v**2)*(-35*v - 58 + 58) - 2*v**3 + 2*v**3 - 2*v**3.\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -15*d**3 - 7*d**2 + 5*d + 16. Let k be q(4). Let x = 1038 + k. Factor 0 + 4\/3*s**x + 4\/3*s.\nAnswer: 4*s*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/9 - (-2 + 1036\/(-288)) and (1\/5)\/(4\/95)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (-2*sqrt(512))**2 + 2.\nAnswer: 2045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 = 5*j - 4*j + 4*j, 0 = -3*j - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 s when three letters picked without replacement from {k: 5, g: 2, s: 4, f: 2, z: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 1*(-1 - 0). Suppose -t = 2*g + 17*y - 20*y, -2*y + 6 = 0. Solve 3*a - 2 = -0*w + w, g*a + 2*w = -14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*o**5 - 7*o + 344*o + 33*o**5 - 2*o**4 - 41*o**5 wrt o.\nAnswer: -1300*o**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 167870 = -4*h, 6*i + 167869 = 8*i - 3*h. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0714*0.1.\nAnswer: -0.00714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58411622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 41. Let w(c) = c**2. Give w(r(f)).\nAnswer: f**2 + 82*f + 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzv when three letters picked without replacement from {v: 3, b: 2, m: 1, r: 1, z: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -6. Let k = u - -5. Put k, -3, -0.1 in ascending order.\nAnswer: k, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + -1*sqrt(1900))**2.\nAnswer: -360*sqrt(19) + 11454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01615 less than -3?\nAnswer: -2.98385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6497 is divided by 2105?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - s - 36 = 0, -4*s - 14096 + 13979 = -5*y. Let d be (-2 - -3) + -2 + 1. Suppose x + d*x - 3 = 0. Solve 3*f = y - x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r = 0. Suppose v + 4 = r, -3*y - 5*v = -2*y - 48. Calculate the highest common divisor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1066 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/4 (b) -0.09 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480 and 57990.\nAnswer: 927840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*s + 582*s + 116*s**3 - 388*s**3.\nAnswer: -272*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5147630 + -302370. Round n to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-771)\/(-1028))\/((-3)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h - 172. Let d be u(21). Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*f = -58, -5*u + 5*f + 82 = 2*f. Differentiate -3114*v**2 - u*v**3 + 3114*v**2 - 18 + v**4 wrt v.\nAnswer: 4*v**3 - 42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31\/105 + 2\/21. Let f = 2\/5 - -21\/10. Sort f, -0.5, s in decreasing order.\nAnswer: f, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*g + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27629.228 - 27454. Let w = 0.228 - v. Let b = 176.42 + w. Round b to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 120 and -6.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:00 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 60 = -5*m, 277513 - 277491 = a + 3*m for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 158*l**7\/105 + l**5\/10 - 6305*l**4\/24 - 10220*l**2. What is the second derivative of c(a) wrt a?\nAnswer: 3792*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799774233.\nAnswer: 3, 61, 839, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -945 * 1\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 61\/5 (c) -22 (d) 1 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 + 0.09. Let b = -0.05 - x. Which is smaller: b or 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*g - 9*g + 1. Solve -4*r - 3*u - 18 = g, -4*r - r + 2*u - 11 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2. Let j(l) = l**2. Let p(y) = -3*j(y) - 2*t(y). Let s be 5 - (-11 + 6 + 6). Let d(o) = -3*o**2. What is s*d(a) + 15*p(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/210)\/(13\/195)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4232 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/5)\/((-3)\/120). Suppose 4*f - 10 = n, -3*f - 4*n - 10 = -27. Let i(m) = m + 1. Let u be i(f). Calculate the highest common factor of u and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 19 = -3*w, -c - 3*w = -4*c - 9. Let o be 216\/(-20)*(-1 + c). Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -3 (b) 1 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -4. Solve 3*g - b = -5*f, -3*f = 4*g + f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 11. Suppose 3*s - 13 - 2 = 0. Is 6 a factor of g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203*z**5 - 69300*z**3 - 10016147*z + 10 wrt z?\nAnswer: 4060*z**3 - 415800*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 0 (c) 22\/145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -410.79 + 410.8. What is the third smallest value in -0.1, 5, -0.05, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 11*u + 10. Let q be b(-5). What is the highest common divisor of 32 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) - (sqrt(1216) - (sqrt(1216)*2 + 3)**2) - (2*sqrt(475)*6)**2 - (sqrt(76) - -2*sqrt(76)*-2)\/(sqrt(4) + sqrt(112)\/sqrt(7)).\nAnswer: -63527 + 97*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39886*k**4 - 4822 - 54 + 29197*k**4 with respect to k.\nAnswer: -42756*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 2*i**2 - 6. Let j = -34 + 36. What is the remainder when y(3) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*i*w**5 + 2088*i*w**2 + i - 132*w**5 - w**2 wrt w?\nAnswer: 1620*i*w**2 - 7920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 4 + 6*m + 0 + m. What is the units digit of l(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(18) - sqrt(18)))**2 + (1*sqrt(2)*2)**2*-3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/846 and -73\/28116?\nAnswer: 1321452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 233910 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -112, -142, -220, -370, -616?\n\"Answer: -4*b**3 - 2*b - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, 14 in ascending order.\nAnswer: -11, -5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6137?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -131?\nAnswer: -4\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -934 + 5505. Let g = r + -2639. Suppose 20*t + t - g = 0. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1239\/10 + 249\/2. Sort m, -0.4, -1.3, -1 in increasing order.\nAnswer: -1.3, -1, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 555776659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 359*o**2 + 17*o + 10. Let h(p) = p**3 + 19*p**2 - 18*p + 35. Let d be h(-20). Let f be k(d). Round f to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = d + 7, -2*d = -2*w + 14. Suppose 3*o - 7 + w = -5*a, -3*a + o + 8 = 0. Sort a, -2, 4, 1 in descending order.\nAnswer: 4, a, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 4, d: 6}. Give prob of picking 3 d.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 7*i**2 - 7*i**2. Let h(m) = -9*m**2. Determine q(h(w)).\nAnswer: -81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43, -42, -27, 14, 93, 222, 413, 678?\n\"Answer: 2*z**3 - 5*z**2 + 2*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6))**(1\/27)\/(w**(-1))**(10\/7) assuming w is positive.\nAnswer: w**(76\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 120. What is the third derivative of 3*m**6 - 5*m**2 + 7*m**2 - m - 17*m**5 - m**x + 10*m**2 wrt m?\nAnswer: 240*m**3 - 1020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 5. What is the units digit of (-984)\/v + (-14)\/49?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/((-45)\/(-945)) - 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2110 (base 4) to base 16\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - 0) - (265 - 268).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -3, 100, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c + 0*c)*(2 + 0 + 0) + c + 0 + 0 - 5*c + 4 - 4 + 4*c + 3*c + 2*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 9*s + 2. Let m be v(-9). Suppose q = -m*q + 72. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0475 * 0.183461\nAnswer: -0.0087143975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 9*t - 7. Suppose 5*v - 6 = 2*n + 36, -5*v - 5*n + 35 = 0. Let k be h(v). Which is bigger: k or 2\/43?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(119)\/sqrt(7) + -3))**2 - (5 + 1 + sqrt(17) - (sqrt(17) - (sqrt(153) + (-2*sqrt(153) - sqrt(153))**2))).\nAnswer: -967 - 99*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7897 not equal to -7830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23188 and 4862?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 6*z**2 + z - 18. Give p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -4 - (-174 - -10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4221491 nanometers to centimeters.\nAnswer: 0.00000004221491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7088051.\nAnswer: 241, 29411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62131*y**3 - 27*y**2 + 6023547*y.\nAnswer: 372786*y - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzrzzzrz. Give prob of picking 2 z and 2 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 10*b - 2*b**2 - 4 + b**2 - 2*b. Suppose 5*q = -0*q + 30. What are the prime factors of i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-9))\/(-1))\/((-600)\/(-1080)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 409047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7453 = -d, -6618 - 8276 = -2*d + 4*z. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, 1\/5, 1\/1920, -2, -1\/3, 0 in descending order.\nAnswer: 4\/11, 1\/5, 1\/1920, 0, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i - 16. Let o be d(-6). Let m be (8\/(-12))\/(o\/(-6)). Let k = 3 - 6. Is k less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*y + 29*y - 127*y + 41*y.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18020, -72153, -162364, -288641, -450972?\n\"Answer: 2*o**3 - 18051*o**2 + 6*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 419 + -399. Let r = 2765 + -1345. Calculate the highest common factor of b and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 5. What is the units digit of p(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112.55 - -0.45. Let q = j - 112.5. Which is the closest to -1\/2? (a) -6\/7 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+-491171391\nAnswer: -491171393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 8 = -n, -61 + 58 = -2*a - n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5. Let q(d) = 4. Let b(k) = 6*q(k) + 5*u(k). Let n(g) = 1 + 2*g**2 + 0 + 4. What is 5*b(p) + n(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-85)*(-3)\/(-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13796256 to the nearest integer?\nAnswer: 3714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.397 - 13.397. Sort 2, 12, f in ascending order.\nAnswer: 2, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -y. Suppose 0 = 2*u - 4*m - 12, -3*u + 16 = -y*u - 4*m. Find t, given that -16\/3*t**2 + 64\/9*t + 16\/9*t**3 - 32\/9 - 2\/9*t**u = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - 221020?\nAnswer: -221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1, -0.21, -4?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 34. Let x(p) = -4*p + 35. Let y(n) = -3*q(n) + 2*x(n). Determine y(33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14550772?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -985\nAnswer: -492.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 557*k**2 - 1109*k**2 + 550*k**2. Let i(u) = -244*u - 4. What is i(n(z))?\nAnswer: 488*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 841156 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 19188 = -537*a - 27*a, 13*x = 12*x + 4*a - 140 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 65.\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 1 = 36*o - 32*o, 0 = 3*o - i - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o + 2*o**2 + 2*o**2 - 4*o**2 + 4*o**2 + (-2 + 2 + o)*(0*o + o + o) + 2*o**2 - o**2 + o**2 + 2*o - 2*o + 2*o**2)*(-4*o**2 + 16*o**2 + 16*o**2).\nAnswer: 280*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (675 - 669)*7\/(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.08675 weeks to microseconds.\nAnswer: 3681266400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 3*z + 2220. Suppose 3*r + z = 5*x, -r - x = r + 370. Let o = r + 265. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-348)\/(-22) + -16)*11\/(-2). What is the greatest common factor of 153 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -22. Let h = 46 + l. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -4. Let f(q) = 0*q + 3*q + h + 3*q**2 - q**2. Let y(j) = -j**3 - 31*j**2 - 34*j - 122. Let a be y(-30). Determine f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) 2 (c) 2295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 335 - 620. Let u = 292 + b. Solve 0 = u*k - 4 - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17418a (base 15) to base 9\nAnswer: 2107704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x)**(-18)*(x*(x\/(x*x**0*x))\/x)**(1\/13)*(x\/x**7*(x\/(x\/(x**(-3\/5)\/x)))\/x)\/(x\/(x\/x**(-2)))**(-2\/49) assuming x is positive.\nAnswer: x**(-113891\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 540, 2, -3, 3, -5 in decreasing order.\nAnswer: 540, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 16*j - 16*j - 3*j**2)*(71*j**2 - 38*j**2 + 177*j**3 - 33*j**2).\nAnswer: -531*j**5 + 354*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(2\/21)*k**2*k*k*k**2\/k)**7 assuming k is positive.\nAnswer: k**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-250043.\nAnswer: -5750989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 5*p**5\/24 + 19*p**4\/12 + 7*p**3\/6 - 9*p**2. Let u(w) be the first derivative of g(w). What is the derivative of u(v) wrt v?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126378 divided by -413.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 133190043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 8667.\nAnswer: -8667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/56 and 29\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 26072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 0) + (-884)\/(-130)*650\/(-52).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 + 100. Let b be 6 + c\/(-11) + (-2)\/(-11). Let j = 18 - b. Calculate the smallest common multiple of 3 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*d + 31 = -2*o, 5*o - 2*d - 155 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 k when four letters picked without replacement from zkkgckikczzczkk?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 1 + 1)*(10 - 1 + 0).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81700.2km in millimeters?\nAnswer: 81700200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050*t + 526*t - 30426 = -1190*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 101*r**5\/60 - r**4\/24 + 5*r**2. What are the prime factors of f(2)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 - (0 + -3 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 69544820 to the nearest 100000.\nAnswer: 69500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*a - 96. Suppose c + a = 3*l, 0 = 2*c - 4*c + 2. Let w be l + -15 + (-4)\/(-1). Solve 0 = -4*u + 5*g - w*g - 21, 6 = -u + 2*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**6\/40 - w**4\/8 - 3*w**2\/2 - 2. Let b(h) be the second derivative of g(h). Determine y so that b(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1*sqrt(2800) + sqrt(2800) - -2*sqrt(2800)*3) + (-1*sqrt(2800) + -4 - (5 + 1*sqrt(2800))) + -5)**2.\nAnswer: -4320*sqrt(7) + 101124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*r = -380*r - 77 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11579.671*3.\nAnswer: 34739.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59590 is divided by 19777.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 37*d**2 + 25*d + 507. Determine i(38).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**4\/8 - p**3\/6 - p**2 + 108*p. Let o(y) = -y. Determine -2*o(d) + v(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 50.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341, 423, 505?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/28*-5 + (-1152)\/2016.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44077 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + u - 5*u)*(2*u - 2*u - u)*(-9 + 6 + 7) + 4*u - 4*u**2 + u - 7*u + 21.\nAnswer: -8*u**2 - 2*u + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/3 + 76*j**2 + 3356*j\/3 - 2544 = 0 for j.\nAnswer: -212, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 14*m**2 - 5*m - 9. Let v be j(15). Let z = v - -129. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 + 4*i**2 - 3*i**3 + 7*i - 6*i**2. Let p be a(-4). Suppose -1 = 5*w - u - 2, 0 = w + 4*u + p. Is 1\/12 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2034 and 121023678.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {h: 1, l: 1, i: 2, a: 2, o: 2, v: 7}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -11*a**2 + 2*a + 1. Let m be f(-1). Let i = 4 - m. Let b = 4 - 1. Solve p = -b*p - i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 37*c**3 + 8*c**2 + 10*c - 2. Let g(w) = -15*w**3 - 3*w**2 - 4*w + 1. Determine -5*b(j) - 13*g(j).\nAnswer: 10*j**3 - j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Let d be (-7 - -14) + 4*2\/n. Let l be d\/6*34\/3. Calculate the greatest common factor of 51 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27274 divided by 2\nAnswer: -13637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 11 - (-1 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let i(v) = -2*v - 3. Let p(n) = -67*n - 12. Let m(h) = 4*i(h) - p(h). What is f(m(q))?\nAnswer: 59*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46269*j**4 + 23*j**3 - 10*j**2 - 71230 wrt j?\nAnswer: 1110456*j + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*w + 4*d, -38*w = -43*w - 4*d + 37 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6149 - 6149. Let z be (-1)\/3 + 10\/3. Suppose -a + h*v = -2*v - 2, 4*a + z*v - 8 = 0. Solve m = -0*m - 1, -a*k + 5*m + 7 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**3 - 2*u**3 + 7*u**3)*(-2*u - 3 + 3) + (-2 + 3 - 2)*(-u**4 + 4*u**4 - 4*u**4) as r*u**4 + p*u**2 + f*u + c + b*u**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448391 is divided by 141.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 2:25 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 11*t = -100*t + 1520 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.32642 equal to 0.081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1 + sqrt(500)) - -6*(sqrt(500) - sqrt(500)*-2))*-5*2*6)**2.\nAnswer: 6336000*sqrt(5) + 871257600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - n**3 + 17862*n**4 + 2*n - 17863*n**4 - 2*n - 9*n**2 as t + x*n**4 + d*n**2 + f*n**3 + g*n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/9 - 10*y**4\/3 + 16*y**3\/9 + 176*y**2\/3 - 1184*y\/9 + 224\/3 = 0 for y.\nAnswer: -14, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5119.9 + 5119.8970343. What is w rounded to 5 dps?\nAnswer: -0.00297","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249058.531 rounded to the nearest 10000?\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3415, 6833, 10253, 13675, 17099, 20525?\nAnswer: 23953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 6*u = -20*u + 125 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2606 - -2610. What is the third biggest value in 2, -4.1, s?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/10 + n**4\/12 - n**3\/3 + 89*n**2\/2 - 21*n. What are the prime factors of y(0)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-6 - (0 + -4))) + (8 - 10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 19\/2 (c) -1\/2 (d) 27 (e) -2\/11 (f) -7 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 90\/(-11) + (-14)\/(-77). Let x = a + 8. Which is smaller: x or 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + -0.1. Is f at least as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -17, 8, -1, 4, 79?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -0.5 (c) -5 (d) 0.1 (e) 3 (f) -5.305 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = 2*s, 3*k + 2*s - 37 = 0. Suppose -2*p + 7*p - 40 = 0. Suppose 20 = -3*f + p*f. Calculate the remainder when k is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*t + 1804 = 787*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 1069 - 117 = -2*a. What is the lowest common multiple of a and 1224?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)\/(f\/((f*f**5*f)\/f)))\/(f**(1\/6)\/(f**(-1\/2)\/f*f)) assuming f is positive.\nAnswer: f**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8054, -1, 4.\nAnswer: -3, -1, 4, 8054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 7)*3\/4. Suppose -2 = w + t, 3*w = 3*s - 87. Calculate the least common multiple of 4 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*n**3 - 2620932*n**2 + 548*n - 105125.\nAnswer: -66*n - 5241864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 0.12. Let w be 0 - -2 - (-2465)\/(-1230). Let p = w + -107\/3936. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7323541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/4 - 75*z**2 + 1260*z - 3920.\nAnswer: 5*(z - 28)**2*(z - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 1. What is o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 97, 133, 187, 253, 325, 397, 463?\n\"Answer: -f**3 + 15*f**2 - 2*f + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37391\/9 - 4159. What is the common denominator of u and -16\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42795739?\nAnswer: 7, 73, 89, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 823*q**2 - q - 572*q**4 - 351*q**4 - 2210*q**2 wrt q?\nAnswer: -22152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 6:12 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.4. Let l = 0.703 + 39.697. Let u = l - 46.4. What is the smallest value in y, -4, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*o - a, 16 = -527*o + 531*o - a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, n: 1, r: 1, p: 1, i: 2}. What is prob of picking 1 i, 1 r, 1 y, and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*l - 4*l + 2*s, 3*s = 3*l + 3. Suppose k + 5*q = 6*q, l = -4*k + q. Suppose k = -v + g + 230, 4*v + g + 2*g - 885 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 23732*f + 1496. Let d(s) = -28*s - 2. What is 1496*d(o) + 2*t(o)?\nAnswer: 5576*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42574950 and 82720.\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 61.36528 seconds?\nAnswer: 61365280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 418524875.58 and 0.5?\nAnswer: 418524875.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 34, 91, 202, 385, 658, 1039, 1546?\n\"Answer: 3*o**3 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6785141.055 + 6785170.05499969. Let b = m - 29. Round b to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -24. Let b = -1 - -2. Put -0.2, b, h in ascending order.\nAnswer: h, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 29291401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 673 + -629. What is the greatest common factor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (249 - 1) + -6 + (-36)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 74 = -12*u. Calculate the remainder when u is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6305860?\nAnswer: 2, 5, 11, 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 11534466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Suppose p - 9 + 4 = u, 2*h - 9 = -p. Suppose 0 = -h*d + 7*d - 120. Calculate the highest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 2 - 2)*(4 + 0 - 3)*(0*x + 4*x - x) to q*x + v*x**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose s*r = -0*r + 3*i + 27, 5*r = i + 74. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1360563, -2721114, -4081665?\n\"Answer: -1360551*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33349769393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/132 and -1\/10416.\nAnswer: 114576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*v + 732*v = -351*v - 25974 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*b*g**3 + 2*b*g - 16*g**5 - 3492 wrt g.\nAnswer: -576*b*g - 320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51841435 + 11?\nAnswer: -51841424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-1 + 47 - (10 + -1)) + -5)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.13 (b) -36 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 4*h = 6*i + 1172056, -3*h - 1172091 = -4*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-1 + -1))\/(22\/(-88)). Solve -2*l - u = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*q + 1 = 61, -q = -55*h + 56*h + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478530, 957062, 1435594?\nAnswer: 1914126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 14*d + 50. Let g be v(5). What is the highest common factor of g and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11065?\nAnswer: 5, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -320 - 3017*j**2 + 320 + 9121*j**2 in the form i*j**2 + p + b*j and give i.\nAnswer: 6104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 76 and 30428.\nAnswer: 30504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2314000?\nAnswer: 2313443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((54\/(-4))\/(-9))\/((-3)\/(-10)). Suppose 0*w = w + q*o - 197, w + 4*o = 195. Suppose -s = -p + 122, 179 = 3*p - 5*s - w. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -99*i**2 + 2*i. Let u(n) = -54944*n**2 + 1111*n. Give 2*u(y) - 1111*w(y).\nAnswer: 101*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 3\/14 (c) -3 (d) 51\/7 (e) -6 (f) 225 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12 = -6*u. Suppose c + 3*n = -2*n + 7, -u*n - 3 = -3*c. Suppose c*x - 73 + 3 = 0. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*m**2 + 70*m**2 - 712*m**2.\nAnswer: -754*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u + 489*u**2 + 34*u - 65*u - 494*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.0653 seconds to microseconds.\nAnswer: 865065300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8029 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7812 + -7802. Which is bigger: p or 437\/47?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12040)\/(-12040)*(2 - (-76 + (-1 - -2)))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 9. Let i(z) = -3*z**3 + 0*z**3 - 1 + 6 + z**3 - 10*z**2 - 7*z. Is i(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1254 + 1254 - b**2 + 13*b to u*b + n*b**2 + d and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * -195\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by -886\nAnswer: 49\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from iiccnnincccn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 122 - 2 - (0\/3 + -1). Suppose -18*g = 13 - z. What is the least common multiple of g and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1619*j - 1622. Let w be z(1). Let o(p) = 4*p - p**2 - 2*p - 5*p + 4. Give o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -23*c**3 + 5*c**2 + 18*c + 28. Let v be g(-3). What is the greatest common factor of 520 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 163, 325, 487, 649, 811, 973?\n\"Answer: 162*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4691 greater than or equal to 258044\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 9:48 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272503 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -77.1824. Let j = 0.18238214 + s. Round j to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1642\/6568*6\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfxfxlgrllxgleflllg. Give prob of sequence eg.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 276 - 260. Let c be 12*-2*(-4)\/t. Calculate the highest common divisor of 192 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 30*y. Let z(t) = -6369*t + 134. Give p(z(v)).\nAnswer: -191070*v + 4020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, x: 1, k: 1, e: 5, b: 1, h: 5}. What is prob of picking 1 x, 1 o, 1 b, and 1 e?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 10*t - 9. Let g(u) = 11*u**2 + 30*u - 27. Let j(v) = v**2 - 5*v + 10. Let z be j(3). Let o(s) = z*g(s) - 14*b(s). Find i such that o(i) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729 times -0.03?\nAnswer: -51.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjjbobplpbjjbv. What is prob of sequence vbp?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 156 - 68\/3*s**2 + 398\/3*s + 2\/3*s**3 = 0. What is s?\nAnswer: -1, 9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19.27499 meters?\nAnswer: 19274.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 45.\nAnswer: 43\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 48 - 303. Let x = -44 - -77. Suppose x*m - 36*m + 57 = 0. What is the remainder when f is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2296 - -1065. Let t = d + -467182\/139. Let g = -245\/1529 + t. Sort 2, 1\/4, g, -0.3 in decreasing order.\nAnswer: 2, 1\/4, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.7 + 1.7. Put 0.3, v, 2 in descending order.\nAnswer: 2, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*z + 2*z - 12*z)*(-14*z**2 - 8*z**3 + 14*z**2) - z**4 + 0*z**3 + 0*z**3 + (-5 + 5 - z)*(4*z - 4*z + 3*z**3).\nAnswer: -124*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(80) - sqrt(20))\/(sqrt(160)*-5) + -5*(sqrt(16)\/(sqrt(72) - sqrt(8)) + sqrt(2)*-2 + -2)**2.\nAnswer: -85\/2 - 591*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5*0.098.\nAnswer: -0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = v + 14. Let w be ((-30)\/v)\/(6\/20). Solve -w*c - 11 = -5*j + 5, -j = c - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3524313 and 26?\nAnswer: 7048626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 10 + 2 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/27 - (-34)\/6. Solve -5 = y*w, w = -g - 3*g + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*j**3 - 253*j**3 + 503*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*32.7801\nAnswer: -98.3403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*h + 1. Let z(x) = -4*x + 10. Does 6 divide z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1 (c) 588\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1616 + 1733. Calculate the remainder when c is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j**6 - 10*j**3 - 3*j**2 + 17*j?\nAnswer: 840*j**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(-66)*-4*(6 + (-288)\/42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1784366060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13*j**3 - 2*j**2 - 16*j**3 + 2*j + 0*j. Let i be -3 + (2 - (-3 + 0)). Let p(s) = 4*s - 5*s**3 + s**3 - s - 3*s**i + 0*s**3. Give 2*p(a) - 3*r(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5 (b) 5\/7 (c) 2 (d) -3 (e) -3.33 (f) 1\/221\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, -36 in decreasing order.\nAnswer: 5, -32, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 18 - 12 = 0. Suppose 4 + 8 = 3*s. Let y(n) = 5*n**2 - 5*n - 9. Let k(t) = 9*t**2 - 10*t - 17. Let g(z) = s*k(z) - 7*y(z). What is g(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18341314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 12 = -2*k + 3*d, 0 = 5*k + 2*d + 102. Let c be (-22)\/121 + 417\/(-33)*17. List the prime factors of (-3 - c\/k)*-4.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 1. Let d(z) = -5*z**2 + 35*z - 28. Let r(m) = -3*m**2 + 21*m - 15. Let x(s) = -4*d(s) + 7*r(s). Determine 28*g(o) + 4*x(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176 + 1041. List the prime factors of j.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4 + 1691*a**3 + 5*a**2 - 57*a + 1?\nAnswer: 48*a + 10146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104526671?\nAnswer: 41, 2549431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 32*m + 6. Let a be p(2). Let t = a + -58. Solve -6*s + 10*s - t = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 14.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/112*2)\/((-1)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*a - 7. Let p be 2*-1*(4 - a). Calculate the common denominator of 2\/(-4) - 72\/p and -73\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 386 - 322. Let s be ((-4)\/16 - 6\/40)*-20. Calculate the greatest common factor of s and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 18*i - 5 - 10*i - 9*i. Determine b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488694346 to the nearest integer?\nAnswer: 22106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1))**(-38)\/(p**(2\/9))**31 assuming p is positive.\nAnswer: p**(-746\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 9*d**2 - 3*d + 1. Suppose 0 = -2*x + 4 - 0. Suppose 0 = c + x + 4. Is o(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45524085*b**4 - 52888248 wrt b.\nAnswer: -182096340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/32)\/r)\/r**(-7))\/(r*r*r*r**(2\/17)*r*((r**10*r)\/r)\/r*r))**(-4\/31) assuming r is positive.\nAnswer: r**(143\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, t: 5, g: 2}. Give prob of sequence gy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 384*p + 31107. Calculate f(-81).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 109*y - 111*y + 11 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21068?\nAnswer: 2, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 29, 37, 45, 53?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**3 - 4*o**2 - 2*o - 1. Let h be y(-3). Suppose -h - 31 = -3*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 1, 0.02, 2, -4.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 396027.1kg in nanograms?\nAnswer: 396027100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6151 times 5\nAnswer: -30755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 8 - 8 = -5*j, 3*c = -j + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ee25 - 101?\nAnswer: -10026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven quarters of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/6 and -125\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -161\/6. Let s(v) = 10*v + 147. Let c be s(-15). Put q, c, 0.5, 1 in decreasing order.\nAnswer: 1, 0.5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h = 70*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2 + 36501200*k + 83271100090000 = 0. What is k?\nAnswer: -4562650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/7*f**3 - 2*f**4 - 12\/7*f + 2*f**2 + 2\/7*f**5 + 0 = 0. What is f?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 + 2204 = 12*d. What are the prime factors of d?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.5 (c) 7.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9*(-6)\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132 + -103. Suppose -p*f + 25*f + 100 = 0. Solve -5*a + 5 = m + f, -2*m + 5 = -5*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b - 33. Let z be n(0). Let q = z - -86. Let k be 4\/10 - (6 + q\/(-5)). Sort k, 3, 1 in descending order.\nAnswer: k, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15118, 17821, 20514, 23191, 25846, 28473?\n\"Answer: -w**3 + w**2 + 2707*w + 12411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 7. Suppose -a - 22979 = -h*n, 9210 = 2*n - 4*a - a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 266*v**2 + 784*v + 520.\nAnswer: 2*(v + 1)*(v + 2)*(v + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4886, -5, -2\/7, 17, -4, 24?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6*q + 64 = 0. Solve f = -3*f + q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100 + 10223333?\nAnswer: 10231033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6)\/(-132)*2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/135 in 4, 1\/9, 11, 0.1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/10*75\/30 + 25\/100. Solve 0 = -z*g + 48 - 6 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*-1 - sqrt(7)) + 3)**2*3 - -2*(sqrt(84)*-2)\/sqrt(12).\nAnswer: -40*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -568 in -2, -0.3, -1, 1710, -5, -0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 2*i**4\/21 - 339*i**3\/7 + 254*i**2\/7 + 4230*i. Solve d(w) = 0.\nAnswer: 1\/4, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 - -84. Let y(f) be the second derivative of 0*f**2 + 0 + 1\/15*f**6 + 0*f**3 + 0*f**5 + r*f - 1\/4*f**4. Find the third derivative of y(a) wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.0262 + -0.0262. Which is the closest to -0.3? (a) 3 (b) -4 (c) m (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 523, 1105, 1847, 2719, 3691, 4733?\nAnswer: 5815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -192, -445, -788, -1215, -1720, -2297?\nAnswer: -2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 31 = 5*j, -6*j - 21 = -3*j - 3*c. Let f be j\/(-9) + (-104)\/6. Is -17 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 31*n**2 - 8*n - 102. Let r(f) = -8*f**2 + 2*f. Give 4*r(p) + t(p).\nAnswer: -2*p**3 - p**2 - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nttnnnntnntnnn. What is prob of sequence nt?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 449 - 437 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfmccmwmmcfcmcc. Give prob of picking 1 w, 1 p, and 2 m.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74705 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16)*(-28)\/70*-15?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/84 and -57\/1456?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 233054 divided by -1844?\nAnswer: -116527\/922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 4*u + 11. Let b = 16 + -10. Let w be s(b). Let d be w + (1 - (1 - -1)). Put -5, d, -0.5 in increasing order.\nAnswer: -5, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -171 in ascending order.\nAnswer: -171, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 80836, 161678, 242520, 323362, 404204, 485046?\n\"Answer: 80842*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o = -60*o + 213*o + 6845 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, f: 1, v: 3, a: 2, n: 9}. What is prob of sequence nfnn?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*s - 7, -2*s + s + 3 = -2*y. What is the third smallest value in -2\/7, 0.9, y?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7315045*y**3 - 3701003*y**2 wrt y.\nAnswer: -43890270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-12))\/(1\/2). Let j(q) = -q**3 + 3*q**2 - 2*q + 3. Let t be j(3). Let p = d + t. Does 1 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*u + 150*u + 206 + 85 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -2.7764\nAnswer: 7.7764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(-4*sqrt(128)))**2 + ((-3*sqrt(200))\/sqrt(10))**2.\nAnswer: 46085\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/107, 138, -3\/8, 9, -1, -0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*b - 25 = -717*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 360950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 63329038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 1912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 128*i + 1534. Let z be o(-12). Sort 36, 11, 0, z in decreasing order.\nAnswer: 36, 11, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1443085 + 291640.\nAnswer: 291639.8556915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35c - 19d95?\nAnswer: -1a0f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**7\/280 - d**6\/80 + d**5\/80 + d**2. Factor m(t).\nAnswer: 3*t**2*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -328*l**3 - 12*l**2 + 3790 wrt l.\nAnswer: -984*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -413*b - 37. Let w(l) = 206*l + 21. What is 4*v(h) + 7*w(h)?\nAnswer: -210*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -3*b**7\/140 + b**6\/10 - 13*b**5\/120 + b**4\/24 + 7*b**2\/2 + 34*b. Let p(x) be the first derivative of m(x). Factor p(j).\nAnswer: -j*(j - 2)*(3*j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*l**5 - 59*l**4 - 8586*l**2 wrt l?\nAnswer: -1200*l**2 - 1416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + 9 + 1 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -193.7 * -0.3\nAnswer: 58.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.6. Let i be 10 + 7 + 12181\/(-715). Put i, -2, u, 5 in ascending order.\nAnswer: -2, u, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 10*m**2 + 21*m + 2. Let h be w(7). Solve 6*r = r + 4*l - 9, r + h*l = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.9 and -0.1.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12244 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17, -0.4, -3\/245, 0.5, -2 in ascending order.\nAnswer: -17, -2, -0.4, -3\/245, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 12 = 7*w. Let b(m) = -m**3 - 4*m**2 - 2*m. Let i be b(-4). Let n = w - i. Solve -n*j = j - 2*t + 5, -5*t = -3*j + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*w, 5*a = 5*w. Suppose -a*z - 83819 - 20881 = 0. Round z to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 65. Suppose 30 = 3*g - o. Let d = g - 21. Put 0, d, -1 in decreasing order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8749186.\nAnswer: 2, 17, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40061\/222 + -1085\/6. Let g = 50\/259 - q. Is 1 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0535 and 48.\nAnswer: -50.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 3 - 3)*(-555 - 480 + 50 + 77) to the form n*i + o*i**2 + m and give o.\nAnswer: 1816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*o**2 - 82*o**2 + 192*o**2 - 378*o.\nAnswer: -82*o**2 - 378*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 31 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 0 - 40) + (0 - 0) + -10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 4*m**2 + m + 6. Let y be q(3). Solve 2*s - 2*r = 11 + 7, -5*s - r + 21 = y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 94, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 6:11 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*h**3 + 403*h**3 - 1212*h**3 + 384*h**3.\nAnswer: -33*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 20*x**2 + 8*x. Let u(h) be the first derivative of -13*h**3\/3 - 5*h**2\/2 - 3. Let p(o) = -8*u(o) - 5*z(o). Let r(k) = 28*k. Give r(p(q)).\nAnswer: 112*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6214818?\nAnswer: 2, 3, 31, 33413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137471.\nAnswer: 23, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3939 * -5\nAnswer: -19695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -165, -326, -479, -624, -761, -890, -1011?\n\"Answer: 4*k**2 - 173*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 7*s**2 - 2*s - 8. Let m(c) = c + 1. Let l(u) = -i(u) + 2*m(u). Does 14 divide l(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y + 25, -5*y + 61 = -4*j. Let z be (-237)\/15 + 1\/(-5). Let s be 18\/24*z\/(-6). Sort s, -3, j in increasing order.\nAnswer: j, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 159 = 4*c, -3*w - 5*c = w - 129. Suppose -2*j + w = 3*t, -t + 6*t - 47 = -3*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -30, 0.17605, -5, 3 in decreasing order.\nAnswer: 3, 0.17605, -0.4, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258 - 214. Which is greater: 9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 4, e: 3, q: 2}. What is prob of sequence ccb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -22*k + 160. Let w be u(-3). Calculate the highest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1410*z + 47. Let d(m) = -705*m + 21. Calculate -9*d(n) + 4*t(n).\nAnswer: 705*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42033.3345 from 0.25148.\nAnswer: 42033.58598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771593283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*h + 156*h + 25 = 5*u, h + 3*u - 17 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 1 + 19. Suppose -4*d + 32 = -r*p - 2*d, p + 2 = 2*d. Let y = 25 + p. What is the highest common factor of y and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -60*m**2 + 12*m - 25. Let g(p) = -15*p**2 + 3*p - 6. Let x(q) = -9*g(q) + 2*t(q). Does 11 divide x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489053, -488349, -487645?\nAnswer: -486941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 365428 or -9?\nAnswer: 365428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225505 (base 6) to base 5.\nAnswer: 1110114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29551 to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1840 and 1495805?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/100*(-48)\/(-18). Determine d, given that r*d**4 + 0*d + 4\/3*d**3 + 0 + 0*d**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 605486423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -5)\/4*7\/(84\/5424). Calculate the highest common factor of 2825 and b.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and -89257343.\nAnswer: -89257355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-119)\/238)\/(49*(-2)\/4).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 26.09?\nAnswer: 31.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 - 55 + 2563*x + 168 - 59 as h*x + f and give h.\nAnswer: 2563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38313 (base 12) to base 10.\nAnswer: -76479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17))**2*-5 + -3.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 - 10*a + 2. Let n(c) = 2*c**2 + 10*c - 2. Let t(d) = 3*k(d) + 4*n(d). Is t(8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(275) + sqrt(275)*3 + 0 + 5)**2*5 + 4.\nAnswer: 400*sqrt(11) + 22024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 131 + 341 = 138 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 9*z = 6*v - 13*z + 82 - 9, -6*v = -3*z + 85 - 4 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (0 + -4) - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4167 divided by 27?\nAnswer: -463\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 11*l**2 + 11*l + 16. Let z be r(12). Suppose 10 = 2*o + z. Suppose 2*a - 3*a = -4. Solve -a*s = 4*w, -2*w = o*w - 2*s - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231283 * -0.4\nAnswer: -92513.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1885493922 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 6*w + 2*w - 19*w.\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - -674. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 2. Let h(x) = 2*x + 1. Let a(k) = 5*g(k) + 10*h(k). Let d(s) = 27*s**2. Determine d(a(l)).\nAnswer: 675*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.03 + -1. Let p = -10.97 - u. Let y = p - -6. What is the closest to -0.1 in 0.5, y, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336654\/10856 - 5\/460.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201003 (base 6) to base 14.\nAnswer: 2ba79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-4))))\/y*y*y**(1\/18))**(3\/17)*(y\/y**12*y**(-2\/19))**(-1\/27) assuming y is positive.\nAnswer: y**(-1889\/17442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*c = -10, 63*d = 3*c + 115 + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {y: 1, j: 2, p: 1, t: 2, w: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11*f**2 + 3*f. Let z(u) = -208*u**2 + 56*u. Let d(v) = -112*n(v) + 6*z(v). Let o(c) = -5*c**2. Determine d(o(y)).\nAnswer: -400*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4 - 3) + (-5 - -8) - 21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/78 and -46\/27.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 19*b**3 + b**2. Suppose -3*y - 18 = -3*k, k - 14 = 2*k + 3*y. Let t be j(k). Suppose 0 = -3*r + 2*r, 2*r + t = 2*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 3:50 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 736, 1478, 2222, 2968, 3716, 4466?\nAnswer: 5218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 41. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328, 672, 1018, 1366?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/3 - -5 - 40\/(-6). Let g be (95\/35 + -3)*z. Let n(c) = -2*c**2 - 2*c + 1. Give n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:12 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 57351, -3\/8, 2\/15 in decreasing order.\nAnswer: 57351, 2\/15, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let f(g) = 5 + 0*g**3 - 6 - 2*g - j*g**2 + 5*g**3. Suppose -13 = 3*m - 2*v, 4*m - 5*v + 41 = 12. Give f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -16*x**2 + 12*x + 72. Let q(s) = 3*s**2 + 2. Give n(b) + 5*q(b).\nAnswer: -b**2 + 12*b + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 37 = -118 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1)\/(2\/(114\/(-3))). Let m = 41 + x. Which is the nearest to 0.1? (a) 3\/2 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 - b + b)*(-7 + 5 - 12*b + 4).\nAnswer: 24*b**5 - 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115*-0.12.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11.1 (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 2927735*b.\nAnswer: -5*b*(b + 585547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 1825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + o - 78 + 94 + o.\nAnswer: 3*o + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 372188 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + 2*g**2 + 6*g - 1 + 0*g**2 + 5. What is the lowest common multiple of 1 + 14 - (27 + -7 + -13) and y(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1236 and 54?\nAnswer: 11124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -149403 divided by -5?\nAnswer: 149403\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**3 + 39*o**2 - 705*o - 62. Give x(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 13*s**2 - 11*s - 9. Determine q(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 224926330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*s = 2448 - 528. Suppose -8*g = -3*g - 10. Calculate the least common multiple of g and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t - 9. Let m(f) = 0 + 30 - 11 - 9*f - 10. Let y(g) = 5*m(g) + 6*s(g). Let l(n) = -n**3 - 2*n**2 + n. Let r be l(-3). What is y(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -0. Let d be (-1969)\/4 - 0 - 141\/188. Let p = 495 + d. Solve c = n*c - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5565 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 9 - 2016*x - 5 - 2 to n + a*x and give a.\nAnswer: -2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*((l**(-1)\/l)\/l)\/l*l*l)\/l**(-5))**(-5\/13))**(-46) assuming l is positive.\nAnswer: l**(1150\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10544 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*u + 71390, -3*v + 57 = 39. List the prime factors of u.\nAnswer: 2, 5, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2073378411 to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + z + 15 = 0, -4*u - 2*z + 12 = -6*z. Let f = u - 1. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2190812 kilograms in tonnes?\nAnswer: 0.0002190812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*w - 67, -k - 5*w + 3 = -2*w. Suppose -k = -4*o + 61. Suppose -2*a = -105 + o. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 0*m**2 - 4*m - 2*m**3 + 3*m**3 - 3*m**2 - m**2. Let a(r) = 3*r**3 - 15*r**2 - 15*r. What is -4*a(k) + 15*i(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104222, 101, 4, -3.\nAnswer: -104222, -3, 4, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 13*y**2 - 30*y - 11. Let z be f(-12). List the prime factors of 1 + z\/15*3.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 70. Let i = l + -28. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12138\/13 + 936. Let d be 4 - (-2)\/(3\/(-3)). Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvhhhepdh. What is prob of picking 1 p and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 18665 = -11204. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*g - 24. Solve g*l - 5 = -5*v, 4*v - 15 = -4*l + 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9726138.\nAnswer: 2, 3, 19, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-4)\/(-2) + 15. Let a(w) = -p - w + 13. Let u(i) = i. Determine u(a(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15858419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 60855 (base 9) to base 7\nAnswer: 224543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 101131659?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 103*r**2 - 308*r\/3.\nAnswer: -r*(r + 1)*(r + 308)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 19, 21, 25?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19905368 - 3994308. Let u = 24411060 - y. Round u to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + r - 2*r + 14 = 0, 2*r + 2 = -4*v. Which is the second smallest value? (a) -4 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -30 - 10. Calculate the lowest common multiple of q and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 14.2, 2\/7, 4.14, 0 in ascending order.\nAnswer: 0, 0.2, 2\/7, 4.14, 14.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48685, -48854, -49135, -49528?\n\"Answer: -56*k**2 - k - 48628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = 6*h - 3*h, -3*g = 2*h - 6. Suppose 0 = d + d - 5*u - 4, -10 = -5*d - h*u. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-27)*w*w**16 assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932.34731 rounded to one decimal place?\nAnswer: 1932.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**3 - j**2 - 190*j + 590. What is the remainder when 215 is divided by o(3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1656 = 4*u. Let w = 139 + u. What are the prime factors of w?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66150227669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 4*p**2 - 3*p**2)*(4 + 1 - 3).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**6\/3 + 8*a**5\/5 - a**4 - 8*a**3 + 9*a**2 + 387. What is g in n(g) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2 - 132\/68). Let l(a) = -29 + 16 + s + a. Calculate l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, 3\/2, -4, 0.171, 3, -6 in increasing order.\nAnswer: -6, -4, 0.171, 3\/2, 3, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26674 is divided by 310?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 81. Let i = 15.8 + r. Which is the closest to -1? (a) 0.2 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 7*p - 1. Give h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000196992 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) -13 (c) -2 (d) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 5)*(-2 + 1 + 2)*(3*w - 6*w + w)*(w + 4 - 4) in the form j + k*w + v*w**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 6 + 560\/(-95) - 3796\/(-38).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -96*p - 32. Let m be l(-12). Suppose -1126*y + m*y = -3582. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1293059742 - 1293059773.24714509. Let p = 0.44727409 + j. Let u = p + 30.8. What is u rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -11.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 14, w: 1}. Give prob of sequence ccw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 11, 0.5, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**4\/4 + d**3\/3 + d**2 - 3*d + 11105. What is q(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + r**2 - 2*r + 3. Let n be h(2). What is the closest to 0 in 0, -1\/6, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 93. Let x(a) = -1. What is w(r) + x(r)?\nAnswer: -r + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(3\/4)*c*c*(c\/(c**(2\/7)\/c)*c)\/c)\/(c*c\/c**(2\/7))**(-20))**(-37))**(-23) assuming c is positive.\nAnswer: c**(131905\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -67 + -112?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b + 18. Let t(r) be the first derivative of 98 - 1\/2*r**2 + 0*r. Calculate t(y(m)).\nAnswer: -4*m - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 894\/(-1192)*4*(-2)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h. Determine l(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-56) - (-1020)\/42)*4. Calculate the highest common divisor of 1776 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*b + 89*b + 2690 = -200*b + 9074 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1437 - 2123 = -1375*j + 1197*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/7 - 286674*o**3\/7 + 1720134*o**2\/7 + 2580146*o\/7 - 573372 = 0. Calculate o.\nAnswer: -143343, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-12)*3*1\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1351 + -1350.97. Suppose 4 = 2*p - 4*p. Let o be p\/4 + 22\/28. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2960 + -2676. Calculate the least common multiple of 8 and b.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 0*((-21)\/6)\/(-7). Let r(t) = -t - 1. Calculate r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**3*y**2 - 2*u**2*y**2 - 42*u**2 - 3*u*y**2 + 9*u*y + 5*y wrt u?\nAnswer: -12*u*y**2 - 4*y**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7736 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nninininni. What is prob of picking 3 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-176510)\/(-6) + 1656\/(-138) - (-4)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 11*d + 4*d)*(-1 - 5 + 3 + (2 - 2 + 1)*(2 - 2 - 1)) - 3*d + d + 3*d.\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18211726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27911 and -24.\nAnswer: -669864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 233 - 239. Sort 0, -83, x in descending order.\nAnswer: 0, x, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 13*j + 15*j = -47, 4*k - 68 = 4*j. Let c(o) = 2*o**2 - 27*o + 3. What is c(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86840 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 437 + 5827 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 8*a**2 + 8*a - 3. Calculate h(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 65*r + 2. Let d(j) = 3*j. Give -4*d(a) + q(a).\nAnswer: 53*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1301*u + 41 + 39 - 132 + 49.\nAnswer: -1301*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s - 20. Suppose -h - 2*f + 26 = -4*f, -h + s*f + 36 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(4*(-1)\/(-2))*2. Let k be (-8)\/5*j\/(-2). Is 504 + -7 + k\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 134273.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*o**4 - 1790*o**3*t*y - 3*o**3*y**2 - 15*o**2*t*y**2 - 2*o - 5*t*y + 82*t wrt o.\nAnswer: -144*o - 10740*t*y - 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-38188)\/176)\/(0 - 1). Let m = o - 885\/4. Let s = -119 - -187\/2. Calculate the common denominator of m and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9530 and 5718.\nAnswer: 28590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.291 * -24.\nAnswer: -366.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11777 - -11831. Solve -l*d + 52*d + 12 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 406.71 in 0.4, 2, 1\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 22\/439?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5459*h - 13861 + 189942 + 20443 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 1169214.89570396?\nAnswer: 1169215.39570396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*z**5 - 34*z**5 - 130*z**5 + (z - z + 2*z**4)*(68*z + 68*z - 41*z + 50*z).\nAnswer: 198*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -57.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/133154826 and -41\/4.\nAnswer: 266309652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 20 = 29*b - 5*z, 11*z = 6*z + 2*z - z + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -4850.03 and 1391.6.\nAnswer: -3458.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3.77, 2\/21, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {k: 3, f: 2, x: 1, j: 1, r: 3, a: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*27659217\nAnswer: -11063686.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 7*t = -2*t - 46, -215*u + 218*u = 5*t - 42 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 152. Calculate the greatest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202 and 1376.\nAnswer: 138976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5632419 decades to millennia.\nAnswer: 0.005632419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 minus 0.612?\nAnswer: 0.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 20771912?\nAnswer: -20771926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 11*g + 7. Let b be u(10). Let i be (b\/1)\/(-1) + -1 + 1. Find the second derivative of 0*p**5 - 10*p + i*p**5 + 0*p**5 - 2*p**5 wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5226 = -2*z + 7100. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, -10, -2, 2\/13, -12, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5128.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-24)*((-19176)\/(-7038))\/94.\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 590726 or 590729?\nAnswer: 590726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7817 = -30*n - 3*x + 7805, 2*n - 3*x - 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 32*r - 547*r + 554 - 558 - 21*r - 656*r. Let c(v) = 2*v**2. Calculate c(b(t)).\nAnswer: 2841728*t**2 + 19072*t + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4 = -b, 24 = 2*a + a + 3*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44191351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/25, -0.03, 20, -0.06?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.31 - 0.0183?\nAnswer: -283.3283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -287.87?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.2 - -20. Let p = j - -1.2. Is -2\/11 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/20 - 4*i**4\/3 - 35*i**3\/6 + 51*i**2\/2 - 8*i - 3. Let q be a(-13). Put -3\/26, -0.06, q in decreasing order.\nAnswer: -0.06, -3\/26, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 7, 51, 133, 265, 459, 727?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001835342 to 5 decimal places.\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**5\/60 + q**4\/4 + 5*q**3\/6 + q**2 - 97*q. Let p be (-2)\/(0 + -2)*-4. Let d be -2*(p\/1 - -1). Determine t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53, 54, 55?\n\"Answer: n + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -109*g**3 - g - 2. What are the prime factors of t(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26996 by -397.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33898973 rounded to four decimal places?\nAnswer: -0.339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1964 and -5756?\nAnswer: -11304784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y. Let d be (-225)\/(-10) + (-6)\/4. Suppose -3*u + d = -u - k, -2*u - 2*k + 30 = 0. Let f(a) = -12 + u - a. Give f(n(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 7989*o**2 + 39852*o - 47844.\nAnswer: 3*(o - 1)*(o + 6)*(o + 2658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b**(-5\/3))\/((b\/(b**(4\/7)\/b))\/(b*b*b*b\/(b*b\/(((b*b**(-6))\/b*b)\/b)*b))))\/((b**(-1)\/b*b)**(-11)*b**3*b**(1\/4)) assuming b is positive.\nAnswer: b**(-1681\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7001615 by 443.\nAnswer: -15805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 59 - 23 = 0. Suppose 0 = 14*h - 13*h. Sort h, s, -5 in decreasing order.\nAnswer: h, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n - 6. Let x be 4 - (n - 0 - 1). Suppose 3*b - 72 = -3*r, x*r = 4*b - 2*r - 80. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(8\/11)\/(s\/s**(-1\/2)*s)*(s**(-5\/3))**(-1\/16) assuming s is positive.\nAnswer: s**(-881\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2754.3006us?\nAnswer: 0.0000007650835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4027*r + 277. Is b(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h + 2 + 4 - 2. Let w = 33 + -30. Is z(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4169, -4169, -4167, -4163?\n\"Answer: r**2 - 3*r - 4167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = b + 7, -3*n = 4*b + 170 - 168 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 3:48 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5869 - -3180. Let l = -2765.16 - q. Let p = 76 + l. Round p to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 572 and 16?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 8c3?\nAnswer: -8c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5281991 is divided by 1520.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3818 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 737*q - 2593. Give d(2).\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 14, 3256, 0, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + ((sqrt(175) - (sqrt(175) + -1))*2 - 4*2*sqrt(175)) + -3)*2)**2.\nAnswer: 57600*sqrt(7) + 1616400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 - -5.14. Let z = -12.7 - -0.7. Let s = 10 + z. What is the closest to s in h, 0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (5 - -1))\/((-2)\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 219*d - 15*d = -9600 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**3 - 8*h**2 + 23*h + 135. Let s be x(-5). Suppose 0 = 2*n + 2*t - 52, -n + 22 = t + t. What is the greatest common divisor of n and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 0 - (-12 + -7 + (21 - 18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3483095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1 - -5) + 2. Let w be ((-4)\/6)\/((-8)\/54) - 42\/(-28). Solve u*t - 5*t = -w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/63 and 67\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1017095825 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 4. Let r be x(-2). Suppose 4 = 11*v - 29. Suppose 0 = 7*m - v*m - n - 59, -2*n = -10. What is the highest common factor of m and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jemeejemmjesej. Give prob of picking 1 j and 2 e.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 1\/60*f**5 + 0*f + 0*f**3 + 0 - 3*f**2 - 1\/24*f**4. Determine l so that x(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*i - 10 - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/39 + -6\/13. Let r(t) = 2*t**2 - 25*t + 14. Let o = 25 + -13. Let n be r(o). Which is the biggest value? (a) n (b) g (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -638d1 (base 14) to base 9\nAnswer: -405778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 23*v + 59. Let x(s) = -21*s - 58. Determine 6*p(d) + 7*x(d).\nAnswer: -9*d - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1005 - -1013. Which is the nearest to 1\/4? (a) s (b) 4 (c) 1\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 7 = 0, 1856*p = 1860*p + 5*v - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4910*b + 4*r = 4912*b - 36, -b = 3*r - 3 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 47*q**5\/30 + q**4\/24 - 19*q**3\/6 + 236*q**2. What is the second derivative of g(o) wrt o?\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -186.93 + 186.93000021134. What is b rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + -1231016?\nAnswer: -1231050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3012608 * 2.\nAnswer: 6025216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 4*p**3\/3 - 16*p**2 + 48*p - 57. Factor j(v).\nAnswer: 4*(v - 6)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6151711 and 114.98913.\nAnswer: 6151825.98913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = 10. Suppose -y*h = u + 2*h - 27, -5*u - 3*h = -135. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j + 1. Let m(z) = 10*z + 1. Let i(o) = -4*m(o) + 5*t(o). What is the units digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 - (120 + (63 - 33))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:12 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-16*l + 0*l + 6*l).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -78.676.\nAnswer: -7.8676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 797291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/139440 and -103\/25953270?\nAnswer: 207626160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2103 = -268*a + 8081 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 7*r + 12. Solve r = 2*s - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -4, 0.3, -37, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 5*m + 6*m)*(-5 + 2 + 0).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7216613947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9684.24 to the nearest 10.\nAnswer: -9680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13613724*d**3*y**3 + 4*d**3*y**2 - d**2 - 3*d*y**2 + 31331*y wrt y?\nAnswer: 81682344*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3 + -7 - -3)) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from ucvcj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-360))\/(((-4130)\/(-105))\/(-59))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 7*j - 4. Let w(z) = -2*z**2 + 13*z + 7. Let x(l) be the third derivative of -l**4\/24 + 2*l**2. Let q be x(6). What is q*w(p) - 11*d(p)?\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-546))\/(12\/(-28)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.1. Let r = 0.39 - 0.2. Let i = 0.19 - r. Which is the closest to -2\/3? (a) i (b) t (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 8:56 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minus -2784?\nAnswer: 2950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 491 + -489. Put z, -2, -3 in descending order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 10, 0.1, 0.8, -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/20 + 94*z**2. Let c(p) = 3*p**2 + 5*p. Calculate c(m(a)).\nAnswer: 27*a**4 + 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -36987638874085?\nAnswer: 36987638874078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 344110960 to the power of 1\/2, to the nearest integer?\nAnswer: 18550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8622 = 21*h - 7425 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -493859592*m**4\/11 + 269337960*m**3 - 4442096474*m**2\/11 - 359940*m - 882\/11 = 0. What is m?\nAnswer: -7\/15714, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4980 + 4980. Solve u = -a - 8 + 14 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32123.2635 rounded to the nearest 10?\nAnswer: -32120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m - 4*m + 164*m**2 + 2 - 166*m**2 - 2*m**3 to j + x*m**2 + y*m + w*m**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(1539) + 0 + 3)*5)*-3)**2 + 0 + -3.\nAnswer: 9720*sqrt(19) + 347568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 107*d + 68. Let j(q) = 160*q + 127. Let g(y) = -5*j(y) + 7*k(y). Determine g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w + 13*w - 43*w + 4*w - 4*w - 2*w + (-2 + 3 + 1)*(3*w + 4*w - 5*w) - w - w + 0*w - 3*w - w + 3*w)*(w**3 + w**3 - 3*w**3).\nAnswer: 44*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 267*o**4 - 7*o + 16562 with respect to o.\nAnswer: 1068*o**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2013496 by 503374.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300052933 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 3*y + 1. Let u be l(-3). Let s be (-2)\/(-9) + u\/(-45). Let i = 532 - 532. Which is the second biggest value? (a) s (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 > 158385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4.9124.\nAnswer: 3.9124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/463 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 246 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 6*x - x)*(2*x**2 - 2*x**2 + 4*x**3 - 4*x).\nAnswer: -16*x**4 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -9. What is the remainder when 57 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 741?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoroorrrrg. Give prob of sequence rga.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -18, -0.2, -2\/25, -2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4606 is divided by 183?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**4*z**3 - 4*f**3*z**3 + 5*f*z**3 + 25*z**3 wrt f.\nAnswer: -72*f**2*z**3 - 24*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 11896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2990\/11 - 272. Let q = -14.03 - -13.63. What is the closest to 5 in -0.1, k, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1019*h + 16. Let b(k) = -1020*k - 18. Let u(t) = -3*b(t) - 4*q(t). Let p be u(-3). List the prime factors of -4*p\/(-44) + (-14)\/77.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-104)*0)\/(4\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 2*w**4 + w**3 - 2*w + w**3 - 15*w**2 + w**3 in the form q*w**3 + l*w + j*w**4 + h*w**2 + c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 1 + 1. Suppose 4*w + 4*l - 32 = a, 0 = 3*l + 2*l - 20. Solve -6*q + w*q = -10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o**2 + 9*o**3 + 10*o**3 + 52*o**2 - 26*o**3.\nAnswer: -7*o**3 + 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 + 80*g**2 + 53*g + 29. Let m be l(-26). Let p(x) = -2*x**3 + 6*x**2 - x + 2. Let a be p(m). Which is bigger: a or 6\/227?\nAnswer: 6\/227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-70)\/35*(-1)\/(-9).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 462213136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + 0.8. Let j = 1.1 + r. Let h = 0 - 3. What is the closest to -1\/4 in j, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -112891, -451465, -1015721, -1805659, -2821279, -4062581?\n\"Answer: -112841*l**2 - 51*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 3. Let u(i) = 153*i. Calculate a(u(g)).\nAnswer: -306*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 7:32 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 6 = 5*b. Suppose 0 = 2*g - b + 1. Is -2\/21 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(784) - sqrt(784)*1*6)\/(1*-4*(sqrt(288)*2 + sqrt(288))).\nAnswer: 7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 22*o + 9. Give x(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 759 - 754. Let z be (-45)\/(-6)*(-12)\/(-10). Suppose h*w - z = 16. Solve w*n - 4 = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:02 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5500486903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:39 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 47*m**2\/2 + m - 5. Let t be v(1). Suppose t = z - 0. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221322101 (base 4) in base 5?\nAnswer: 20443130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9 - -10 - 2) + 34 - -11) + 12.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3968.1 - 3968.3. Put d, -23, -1\/14 in increasing order.\nAnswer: -23, d, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 897 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65382*q**4 - 2*q - 16431.\nAnswer: -784584*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 11, x: 2, h: 1}. Give prob of sequence ih.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 144*g**3 + g**2 - 264*g + 4. Let y(l) = 719*l**3 + 6*l**2 - 1324*l + 22. Let k(z) = -11*c(z) + 2*y(z). What is the second derivative of k(f) wrt f?\nAnswer: -876*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(275)\/(3*sqrt(539)))\/(sqrt(45)\/((-1*sqrt(90) - sqrt(90))\/sqrt(10) + sqrt(9)))*-1.\nAnswer: 4*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 - 147. Solve 0 = -q*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-832)\/(-48))\/(-13))\/(-2*3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7609\/77 + 4\/22. Suppose -5*i + 61 = -z. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/(3\/(-4)). Let s be (6 + 5 + -9)*980\/(-8). Let o = 240 + s. Sort a, o, 6, 5 in descending order.\nAnswer: 6, 5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6654 and 151469438.\nAnswer: 2218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.6 + 1.6. Let q = -3.452 + 2.452. Let y = 1 - 1.3. Which is the fourth smallest value? (a) r (b) y (c) q (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-32)\/38) - (-1)\/4. Suppose -2*a - 5*c = s, -5*a - 44 - 3 = c. Let n be -6*1*(-3)\/(-2). Is a < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**34)**4 assuming v is positive.\nAnswer: v**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587 = 3*d - 0*x - 15*x + 4*x, 4*d - 16*x = 852 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55967 is divided by 17557?\nAnswer: 3296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537.6284 grams to kilograms.\nAnswer: 0.5376284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 69\/6*-2 + 1. Let c(b) = -b - 1. Let k(l) = 4*l - 20. Let p(j) = 2 - 3 + 0. Let q(i) = k(i) - 24*p(i). Calculate s*c(d) - 6*q(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*q - 5263 + 1887, -3376 = -4*q - 5*l. Let x = -53 - 158. Let b = x + q. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*m + 13, 2*m - 5*c = -3 + 12. Factor 1\/3*d - 1\/3*d**3 + 2\/3 - 2\/3*d**m.\nAnswer: -(d - 1)*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 + 20712*z**4 - 53291090*z**3 - 1719818532*z**2 - 17514396536*z - 54710645808 = 0.\nAnswer: -13, -6, 5194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 515 - 928 = 19*z for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*y - 3*h + 204, -3*y - 5*h = -220. Calculate the remainder when y is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 95 - -1?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.41 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 3726*c - 102789.\nAnswer: 3*(c - 1269)*(c + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144675.\nAnswer: 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 277015 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 309.42 to the nearest integer.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30612577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 393479 to the power of 1\/2, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 229, 342?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 16.4, 5309, -2\/5 in descending order.\nAnswer: 5309, 16.4, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 127 - 19\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2) - -4 - (-19 + (-17 - 25487\/(-671)))?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 17*b**2 - 147*b - 1261. Give l(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 14623613\/112 + -130569. Calculate the common denominator of 75\/14 and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 85278172, 85278171, 85278170?\n\"Answer: -h + 85278173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiit when four letters picked without replacement from iiotkoiui.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - -0.31. Let w = 39.3 - 41. Let j = -17754\/23 - -772. Sort 1\/2, j, y, w in descending order.\nAnswer: 1\/2, y, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2 - c**3 + 511*c**6 + c**3 - 4*c - 193*c**6 wrt c?\nAnswer: 38160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.67649 * 0.5.\nAnswer: 3.838245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/141 and 58\/147.\nAnswer: 6909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 474548338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 25)*(2 - (-49)\/(-28))*-8. Solve -2*s - 39*d = -u*d + 13, -2*d + 21 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128690 is divided by 308?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 10797*g - 4331636.\nAnswer: (g - 394)*(g + 21988)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1441 and 329858?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -153. Let x = 85 - t. Calculate the highest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 305 + 3*u - 465 + 3644 + 1542.\nAnswer: 3*u + 4934","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5\/248836, 2\/21 in descending order.\nAnswer: 2, 2\/21, 5\/248836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 531 (b) 10762 (c) -2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 + 2*d - 7. Let s be h(6). Let r = -8 + s. Let u(g) = -29*g + 2. Is u(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 - 30 = -2*b, 0 = 2*g + 6. Solve 2*i + 11 = -v, -i - b = -15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/8 - (-1)\/((-4)\/(-878)). Let d = -110 + h. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2516*m**3 + 1366*m**3 - 11*m - 4*m + 16*m + (-m**2 + 5*m**2 - 3*m**2)*(0*m + 2*m - 4*m).\nAnswer: 3880*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6))**(2\/49)*(y**(-1\/4)\/y)\/(y*y**(-6\/7)))**(21\/8) assuming y is positive.\nAnswer: y**(-963\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 37 + 3 = 4*t, -s = -4*t. Calculate the remainder when 125 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70215750 divided by -312070\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q. Let f(b) = -1268074*b - 12. Determine t(f(j)).\nAnswer: -3804222*j - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 1 - (0 + 0). Solve -3*q**3 - 7*q**2 + 20*q - 12 - q**s + 9*q**2 - 6*q**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3657 + -1635. Suppose 4*s - s - 9 = 0. Is (s\/2 - 1)\/(3\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + s**2 - 3*s**2 + 1 + 1 - 3 - 2*s to t*s + c*s**2 + w*s**3 + i + z*s**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Suppose -p*n + 0*c + 37 = c, 14 = 2*n - 4*c. Suppose 122 = 2*t - s, t + 0*s - 83 = -5*s. Calculate the greatest common factor of n and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 24*n. Let s(v) = 25*v**2 + 4*v. Let u(x) = -204*x**2 - 33*x. Let q(t) = -51*t - 157. Let b be q(-3). Let i(y) = b*u(y) - 33*s(y). Determine i(c(g)).\nAnswer: -5184*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2156\/45 or -32?\nAnswer: -2156\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-3) - (-2)\/(-6). Let y = k - 1. Suppose -8 = -2*o, -30 + y = -5*x - 3*o. Solve 0 = 3*n - 6 - x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/4 - i**3\/3 - i**2\/2 - 2*i - 3. Let x be p(0). Let l(s) = -s**3 + 2*s + 1. Let b be l(x). Solve 4*q + 25 = b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17477, 17503, 17529, 17555, 17581?\nAnswer: 17607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g + 1313 + 436 = 0. What is the smallest value in g, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1)*3*7\/14. Sort 1, 2, 0, g in ascending order.\nAnswer: g, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*k + 11*k. Suppose -53 = -v - 0*v + k*a, 107 = 3*v + a. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**6 - 6*x**5 - 1223*x**3 - 10344*x**2?\nAnswer: 120*x**3 - 360*x**2 - 7338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i + 4*i = 58 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21586 - 12114. Is b a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a meter in centimeters?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3995 and 1880?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + 44\/16. Let u(z) = 3 - 2 + 4 - 6 + z. Let c be u(6). Solve -k = c*o - 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1559 + -1520 - (26 - -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -577, -4454, -14971, -35446, -69197, -119542, -189799?\nAnswer: -283286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175211613786908.96199874 + -175211615664387. Let g = u + 1877495.038. Let x = g + -17. Round x to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -175*l**2. Let j be p(-6). Let q be (j\/49)\/(3\/(-21)). What is q rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.19 (b) -0.07 (c) 141 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l*t**2 - 3*l*t + 33*l + 2*t**2 wrt t?\nAnswer: 8*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21474.806 and -1816?\nAnswer: 19658.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034573 to 6 dps.\nAnswer: -0.000346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 + 25?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 26472?\nAnswer: -5\/26472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1002 + -15560. What are the prime factors of 3\/(-2) - a\/28?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 350 = 3*o, -5*o + 3*b + 507 + 53 = 0. Suppose o = v + 3*d, -5*v - 5*d + 671 = 106. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1007 and -1886?\nAnswer: -1899202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2310 * 0.6\nAnswer: -1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 262454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1010101010001010011001?\nAnswer: -1010101010001010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*d, 3*d + 2*a + 2*a = -3. Factor 3*c**d + 9 - 5 + 3*c**2 - 3*c - 7.\nAnswer: 3*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + q + 4. Let o(d) = -4*d**2 + 5. Let n(j) = -5*a(j) + 4*o(j). Let k be (-2)\/11 - (-53)\/(-11). Give n(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 11*y - 18. Let v be w(-14). Let p(s) = s**2 + 4*s - 24. Let k be p(-10). What is the greatest common divisor of k and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -10 (c) -0.3 (d) -27347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4183 + -4029. What is the lowest common multiple of 77 and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1482965\/25960 - (-17)\/(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**8\/6720 - j**7\/1260 + j**6\/720 - j**4\/8 - 2*j**2. Let l(v) be the second derivative of f(v). Factor l(c).\nAnswer: c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + k + k + 10, -15 = -b + 3*k. Let s be 57 - (-1 - (2 + b)). Let h be 12\/((-10)\/4 - -3). What is the highest common factor of h and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + 3*h)*(0 + 3 - 2)*(-2 - 6 + 5).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-10 - -25)*-16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 857.109 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 6. Let o be b(-5). Solve 3*z = o + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5162891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4673 + 380?\nAnswer: -4283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 7.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -803, -792, -765, -716, -639, -528, -377?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 25 = -5*f. Suppose -1 = 4*b - 5. Calculate the highest common factor of b and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92702.708 + -92872. Let p = 169 + w. What is p rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, d: 3, l: 3}. What is prob of sequence mmld?\nAnswer: 39\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 3, -0.13, -1\/13, 3\/13, -4, 3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*o - 10, 0 = -5*o + c + 3 - 21. Let t be (-1 - 1)\/(6\/9). Which is greater: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - h**3 - 4*h**3 + 21 + 76 + 5*h**3 as l + n*h + o*h**3 + c*h**2 and give l.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 30. Suppose 0 = 7*h + 38 - j. Suppose 2*c + 39 = -c. Put c, 4, h in increasing order.\nAnswer: c, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 35*h + 779. What is d(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3467398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15302125344 + 3?\nAnswer: 15302125351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2, 35 in ascending order.\nAnswer: 0, 2, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**2 + y**2 - 2*y**2 to the form z*y + m*y**2 + q and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1360827, 1360826, 1360825, 1360824, 1360823?\n\"Answer: -p + 1360828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 594 and 3234.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -44) + -13 + 21 + -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8 = 3*k. Suppose -k*a + 10 = 2. Differentiate 1 + a*v**2 + 4 - 3*v**2 - 2 with respect to v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 21100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14838.48 * 0.8\nAnswer: 11870.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 1\/6*m**6 + 0*m**5 + 0*m + 0*m**3 + 13*m**4 - 199 - 125\/2*m**2. What is the second derivative of k(n) wrt n?\nAnswer: 20*n**3 + 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - g + 2. Let s(k) = -k**2 - 3*k + 5. Let v(b) = 2*s(b) - 5*t(b). Let a be v(1). Solve 0*l = -l - a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/(l**(1\/4)*l)*l)\/l)\/l)\/((l\/((l*l*l**(1\/4)\/l)\/l))\/l)*(l\/(l\/(l**0*l)))**4 assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10685515 is divided by 1377?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151 - -553. Let i = 789 - r. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8977065*y - 19880085?\nAnswer: 8977065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqi when three letters picked without replacement from ppqpilqvppqpqppi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028718 to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*b + 28 - 12, -4*b - 8 = -2*z. Solve b = -7*a + 5*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1327783*v**4 - 2026425*v**2 wrt v.\nAnswer: -31866792*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m - 53*m - 2 + 2 in the form a + w*m and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 230551679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1.1. Let x = 3.8 - 3.7. Is x not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1.5, 0.3, 0.134, -2\/11, 1\/4?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 15)*(-28)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*w + 108. Let x be ((-4)\/4)\/(3\/w). Let h be ((-64)\/x)\/((-10)\/384375). Round h to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9740840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.3 - -3.7. Let s = 10 - a. Is s at most -0.078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 26846300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 13*c - 5358 = -2*v, 0 = -4*v - 12. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(133) + sqrt(133)*-2*-4))\/(5*sqrt(7)*1*3).\nAnswer: 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323404204 and 344.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -11.1. Let r = -969.1 + 969. Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2143063409 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -602904084 divided by 6\nAnswer: -100484014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/((-171654)\/(-3437)) + 8\/(-6)?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 40. Let t = 41 - g. Suppose -t*j = -9*j + 60. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2678 and 5921.\nAnswer: -15856438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k - 2*k)*(-1 - 2 + 1)*(1 + 0 - 2).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 10*a**2 + 4*a - 11. Let b be s(-9). Suppose o + 5*h - b = 0, -199 = -4*o - 3*h + 4*h. Suppose 2*m - 3 = o. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 - 205*z + 2484. Give m(-79).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5198 is divided by 2379.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620404090 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 4*x**3)*(4 + 2*x - 4) + (-x - 2*x + 4*x)*(3 + 2*x**3 - 3) to the form d*x**3 + n + y*x**2 + h*x**4 + b*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-26)\/105 - (-104)\/(-91)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5010145633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2319395944?\nAnswer: 2, 31, 199, 46997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/3, -1, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 q when four letters picked without replacement from {q: 1, z: 4, p: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43740 + -43456.91. Let s = k - 285. Round s to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15343 - 1.03128288.\nAnswer: 15341.96871712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003741 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 60 = 2*a, 175*z - 169*z - 24 = 0 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -144949292.1 to the nearest one thousand.\nAnswer: -144949000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 0*y + 0*y - 2*y + (12 + y**2 - 17 + 17)*(-41*y + 92*y - 37*y) as r*y**3 + h*y + b + x*y**2 and give h.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(396) - sqrt(33)\/(2*sqrt(3)*4)) + -2.\nAnswer: -2 + 47*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 13. Let t be -4 + (0 - 95\/5). What is the lowest common multiple of 59 and n(t)?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 39*t**2 + 4. Let o(l) = -835*l**2 + 1666*l**2 - 830*l**2. Give p(o(a)).\nAnswer: 39*a**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15553 - 15558. Let d be -1*((-8)\/(-2))\/4. What is the second smallest value in -0.6, d, c, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9506402?\nAnswer: 2, 4753201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 6*d**2 - 6*d - 25. Let w(p) = -p**2 + p + 1. Calculate t(s) + 6*w(s).\nAnswer: 2*s**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20075 rounded to three decimal places?\nAnswer: 0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 16 = -4*k + 2*a, 2*a = 5*k - 33. Find the third derivative of -13*l**k - 6*l**2 + 17*l**5 - 2*l**2 wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382690099 smaller than 1382690099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197\/273 - -5\/91. Let o = -2 - -1. What is the nearest to o in -3, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91313.82ml in litres?\nAnswer: 91.31382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(15)\/(sqrt(9)\/sqrt(3)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 795*v - 10340. Give y(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0 (c) 0.5 (d) 57 (e) -5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2. Let t(x) = 2*x + 2. Let f be t(1). Suppose 2*c - 3*c - f*o = 15, 3*c + 3*o = 0. Let m(g) = -5 + c - 3*g - 5*g. Give d(m(p)).\nAnswer: -192*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 1. Let z(b) = 103*b + 4. Let m(a) = -4*d(a) + z(a). Is 13 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/11 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 22. Give s(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2273*z - 73048 - 36056 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6830390 is divided by 120.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19\/4 of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7.52612 + 0.009\nAnswer: 7.53512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**2 - 11*q - 4010. Let d(f) = 78*f**2. Give y(d(h)).\nAnswer: -156*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.252557 rounded to 0 decimal places?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 2, -33, -102, -217, -390, -633, -958?\n\"Answer: -2*t**3 + t**2 - 2*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -131*c**4\/4 + 3*c**3 - 2*c + 75. Find the third derivative of i(d) wrt d.\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**2 - 19*t + 14. Let m(a) be the second derivative of 5*a**4\/12 + 3*a**3 - 13*a**2\/2 - 4*a. Let d(q) = 6*j(q) + 7*m(q). Calculate d(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (408\/(-255))\/((-2)\/5). What is the greatest common factor of 10 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*q - 2089, 5*i - i - 1674 = q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 6\/217, 0 in increasing order.\nAnswer: -0.11, 0, 6\/217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 20325*i**2 - 28356*i**2 + 12939*i**2 in the form s + c*i + f*i**2 and give f.\nAnswer: 4908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 20*z**2 - 19*z - 2. Let a be n(-19). Let f(o) = -24*o**2 + 10*o - 8. Let u(t) = 15*t**2 - 6*t + 5. Let w(p) = 3*f(p) + 5*u(p). What is w(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*w = 165, 0 = -3*r - 4*w - 7 - 232. Let n be 1\/7 + r\/(-21). Suppose 5*d + n*u - 248 = 0, 4*d + u = 41 + 153. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h - 5. Let i be b(-3). Do 6 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 63 = -7*n - 513 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -m - 16, 0 = 5*m - 4*k + 16 + 64. Suppose -5 = 5*o - 15. Put o, m, 1 in decreasing order.\nAnswer: o, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 177\/6 + ((-7)\/42*-51 - 7). Solve 0 = -5*p + 15, -2*p + w = -3*o - 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - 5. Let z = 73 + d. What is the highest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*n + 16 - 7 - 3 + 5 to c*n + u and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2 (c) 3881 (d) 2 (e) 1\/4 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Simplify (2 + (2*sqrt(405) + sqrt(405))**2*-6 + 1 + (sqrt(245) - sqrt(245)*-3*-6)**2)*-4.\nAnswer: -195752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3. Let z(j) = 0 + 2*j - 2 - 3. Let l be z(4). Let r be s(l). Solve 3*k = -2*i + 2, -2*i + i = -4*k - r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1402*u**2. Let f be y(1). Let d(o) = -27*o - 651. Let c be d(-24). Is (f\/18*6)\/((-2)\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 4:44 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 1)\/1 - -2. Let c = 5 - m. Suppose -11 + 44 = 5*i + 2*r, -3*r = -c*i + 3. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46022514 and 2032?\nAnswer: 368180112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-2 + sqrt(147) - (1 + sqrt(3) + 3))**2 - (2 + (sqrt(81)\/sqrt(3))**2).\nAnswer: 64*sqrt(3) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87.4 - 87. Which is the biggest value? (a) 1\/2 (b) g (c) 1 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 1, m: 1, f: 1, u: 1}. What is prob of picking 1 u and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 5*u**2 + 4*u - 10. Let c be w(-6). Factor -1\/2*o**4 + 0 - 1\/2*o**3 + 1\/2*o**c + 0*o + 1\/2*o**5.\nAnswer: o**2*(o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 13*r**5\/60 + r**3\/2 - 5*r**2\/2 + 30. Let y(p) be the second derivative of b(p). Let j(t) = -2*t. Calculate y(j(k)).\nAnswer: 52*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6631078067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/50*(-1 - 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**3 + s**3 + 10*s**3)*(157 - s - 7*s - 158) + 45*s**4 - 41 + 41 as w*s**3 + z + d*s + x*s**2 + c*s**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*o - 424*o + 201*o.\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228 - 76. 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: Express -41*w + 29*w**3 - 57*w + 116*w - 4*w**2 in the form s*w**2 + h + o*w + z*w**3 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5446319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.208, -1\/3 in ascending order.\nAnswer: -1\/3, 0.208, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 6)*(-4 + 1 + 5) - 55 - 63 - 5)*(-6 + 1 + 3 - 4*u).\nAnswer: 500*u + 250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -7. Let f be 12\/20 - -2 - 3. Let o = 266\/1305 + -1\/261. Which is the closest to i? (a) f (b) 1\/8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -167*u**3 + 11*u**2 + 118*u**3 + 7 - 1 wrt u?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220391506 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b. Let m(c) = 3*c. Let k(f) = f**3 - 30*f**2 - 4*f - 46. Let o be k(30). Let p = o + 160. What is p*v(a) + 11*m(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -70. Suppose -5*x + 2*q - c*q = -350, 4*q + 80 = x. Let j = x + -52. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -31*k**4\/12 + k**3\/3 + 5*k**2 - k. Let j(w) = -2*w. Calculate j(h(s)).\nAnswer: 124*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732 = -232*l + 428 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/54 and 29\/558?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let i = 0 + 3. Suppose i*z = -z - 12. What is w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 22. Suppose -6*w = -3*w - i. Suppose w*f = f + 48. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*h + 30*h + 24*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*c - 216*c + 5676 + 7403 = 0 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -f + 16, 2*v = f + 4*v + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Let o(x) = x**3 - 4 + 8 - 4 + x - x**w. What is the units digit of o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = s + 3*i - 8, 0 = -5*s + i - 5. Let p = 1.1 - 5.1. What is the third biggest value in 7\/4, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2 = -12. Suppose s*u - 366 = 3*k, -2*u - 3*u - 4*k = -869. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -8. Let n be u*1 + 9\/(-1). Let w = 22 + n. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 22. Let t = 0.8 + 0.2. What is the closest to q in -5, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + z - 4 = 0, 5*z = -3*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 2575854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2649.978 - -2655. Let v = f + -0.022. Which is the third biggest value? (a) v (b) 0 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 + u + 69. Let w(h) = 7*h + 164. What is the remainder when y(0) is divided by w(-20)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m - 9*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -733 in decreasing order.\nAnswer: 4, 3, -733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 89, 145, 183, 197, 181?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 8*s + s**2 + 8*s - 2. Let u = 3 - 9. Calculate the least common multiple of 4 and o(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*m + 658, 3*m + 2*q = -436 - 551. Let w = -273 - m. What is the smallest common multiple of 28 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.395589112 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/49*35\/10. Calculate the remainder when (g\/18 - 203\/63)*-18 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgqqqctcqqcffft. What is prob of sequence qgf?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**4 + 2*a**4 + 3*a**4 + (5*a + 64 - 64)*(6*a**3 - 51*a + 51*a) + 2*a**4 - 5*a**4 + a**4.\nAnswer: 26*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spcssszzzzzzppps. Give prob of picking 1 c and 1 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/7569 and 145\/14808.\nAnswer: 37360584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945 = 822*m - 705*m - 3168 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10798125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 34, 6.30945, 1\/3, -0.1 in descending order.\nAnswer: 34, 6.30945, 1\/3, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, g: 4, r: 2}. Give prob of picking 2 g.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*o - o - 4*q, 0 = 5*q + 25. What is the remainder when 790 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.036, -30\/40949 in decreasing order.\nAnswer: 0.036, 0, -30\/40949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcz when three letters picked without replacement from cskksckzzkkzkzkkkkcc?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12 - 19 + 3*a + 15. Let s be x(-2). Solve s*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11851565.\nAnswer: 5, 11, 215483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from aaaaanannnnannnn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.8 and 2268771?\nAnswer: -10890100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.20927 to one decimal place.\nAnswer: -44.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**5\/60 - 7*d**4\/12 - 11*d**3\/6 - 3*d**2. Let z be s(-13). Suppose 0 = z*m + 2*m - 348. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*r = 4*n - 9, 8 = -2*r. Let w be 2 - 12\/n*-3. What is the highest common factor of w and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -17*g**2 - 70*g + 6. Let m(h) = h + 1. Let w(r) = -l(r) + 6*m(r). What is the second derivative of w(k) wrt k?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 and -77\/151682?\nAnswer: 455046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*(0 + sqrt(2299)) - 1*sqrt(2299)*-1 - (sqrt(2299) + -1 + 0 + sqrt(2299) - (sqrt(2299) + -1 + sqrt(2299) + 3 - sqrt(2299) - sqrt(2299)))))**2.\nAnswer: -132*sqrt(19) + 9205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/15 and 28\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 2, z: 2, l: 1, p: 2}. What is prob of sequence lnz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 18. Let w(s) = 4*s**3 - 10*s**2 + 16*s - 6. Let j(n) = -21*n**3 + 50*n**2 - 80*n + 29. Let a(f) = z*w(f) - 2*j(f). Factor a(i).\nAnswer: -2*(i - 2)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 * -13651.\nAnswer: 1433355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**7\/84 + b**6\/60 + b**5\/40 - b**4\/24 + 4*b. Let o(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -299227, -299241, -299265, -299299?\n\"Answer: -5*g**2 + g - 299223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85\/34*468842\/55?\nAnswer: 101, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147651, 147648, 147643, 147636, 147627?\nAnswer: 147616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 3071*y + 3071. Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -12 - (38 + -40) - 127.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2687 (base 11) to base 12.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19658303 minus -0.0923?\nAnswer: 1.28888303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*t - q, -4*t + 63*q - 61*q + 4 = 0. Sort -4, 1, t, -2771, 5 in ascending order.\nAnswer: -2771, -4, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4184 - 4148.19. What is w rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 25 + -8 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, t: 3, r: 3, b: 1}. Give prob of picking 1 v, 1 b, 1 t, and 1 r.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - -0.28. Let v = -0.1 + x. What is the nearest to 1 in -3, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**5 + 0*d**5 - d**5 + (5 + 0 - 4)*(0*d**5 + 6*d**5 - 4*d**5) + 5*d**5 + 0*d**2 + 0*d**2.\nAnswer: 11*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:48 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276735?\nAnswer: 5, 31, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6)*0)\/1. Suppose 2*a - 28 = 5*k, 0 = -3*k - y*k. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llyjy. Give prob of picking 1 l, 1 y, and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 - -815. Suppose -v = 5*d - 4*i, 5*d - 228 = -4*i - 786. Is d\/(-4)*((-40)\/(-3) + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3323003020312 + -3?\nAnswer: -3323003020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g**3 + 26*g**2 - 179*g + 415. Give z(4).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 4, 18741, -40 in ascending order.\nAnswer: -40, -39, 4, 18741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1387361*x*z**3 - 28152*x + 22 wrt z?\nAnswer: -4162083*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from zxjzxzjxzx?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r. Let j = r - -2. Suppose 2*s = -j*s + 188. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2194*z + 138375 = -2187*z - 2283. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:01 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -9.5 (c) 1\/4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8160 and 1245114?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 26 = 3*q - 0*g, -2*q - 5*g + 9 = 0. Suppose 4*s = -2*f - 4 - 6, q = -4*f - 5*s. Let p be (3 - f)\/((-4)\/(-10)). Solve j - 4*j = p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23941*t - 23937*t - 4*h = 36, 0 = -7*t + 4*h + 69 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 352*x**3 - 16*x**4 - 352*x**3)*(-x + 4 - 4) + 0*x**5 + 3*x**5 - x**5.\nAnswer: 18*x**5 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-10 + 1)\/3. What are the prime factors of 3*(18\/3 + v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2 - 619*u + 498. Give z(-156).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*s*u**3 - 1233*s*u**2 - 598592*s + u**2 wrt u.\nAnswer: 108*s*u**2 - 2466*s*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 3, 1.6, -3\/5, -0.5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 76*s**2 - 3*s + 8. Is u(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 77390, 307696, 691546, 1228946, 1919902, 2764420?\n\"Answer: k**3 + 76766*k**2 + k + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -415 + 408. Let t(z) = 7*z - 2. Let l(p) = -21*p + 7. Let j = -13 + 11. Calculate j*l(m) + n*t(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 186480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z + 2. Let n(c) = -5*c + 1. Let y(k) = 6*g(k) - 11*n(k). Suppose 4*r - 4*o + 12 = 0, 8*r = 5*r - 5*o - 25. What is y(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490858408 to the power of 1\/3, to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 6*t**2 + 4*t. Let u be l(-5). Suppose 3*i - u*n - 18 - 19 = 0, -3*n = i + 11. Which is the smallest value? (a) 0 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.8 and 9.7.\nAnswer: -65.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*j**2*u + 39867*j**2 - 890*j*u**4 wrt u.\nAnswer: -6*j**2 - 3560*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59\/4724 or 0?\nAnswer: 59\/4724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(3*g + 2*g - 2*g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22012003 + 303?\nAnswer: -22011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/9 - (-189520)\/414 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-11) - (-2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 1003046, -0.4 in increasing order.\nAnswer: -0.4, 1\/10, 1003046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -5)*(-8)\/(-30)*5. Suppose -2*v - 5*n - 12 = 0, -n = -x*v - 2*n + 12. Suppose v*o + 25 - 13 = 0. Put 14, o, -1, -2 in decreasing order.\nAnswer: 14, -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-6 - (-3 - 14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.03 and 0.1.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/431440 and -95\/345152.\nAnswer: 1725760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2136 + 2318. What is the highest common factor of o and 210?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.7 + -40. What is the closest to -0.1 in -2, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/17, -2, 3, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*a + 15, -g + 3*a - 2*a + 5 = 0. Let f(i) = -i**2 + 4*i + 5. Calculate f(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13573858.14 rounded to the nearest 10000?\nAnswer: 13570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**3 + 194654*b**2 + 2*b - 645604 wrt b?\nAnswer: 9*b**2 + 389308*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8502167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 45*k + 18 + 4*k**2 - 79*k - 22.\nAnswer: 5*k**2 - 124*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17*r + 21. Is o(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46215.4958 - 45579.47. Let q = -636 + v. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Suppose 5 - 17 = -p*a. Suppose a*o = -o + 35. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2. Suppose -4*b + 21 = -5*a, -3*a + 4*b - 19 = -0*a. Let p(t) = 5*t**2 + t + t**2 + 2*t**2 - 9*t**2. What is a*r(v) + 2*p(v)?\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 521613007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 7 + 13 = 22*o, 4*o - 46 = f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 + 2*w + 1. Let z(d) be the second derivative of -2*d**4\/3 + d**3 + d**2 + 3*d. Let k(c) = -7*p(c) + 2*z(c). Is k(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8*b + 2*b + 3*b - 5.\nAnswer: 13*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20 - ((-23 - -29) + 38)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 5*z - 4. Let r be k(4). Let s = 24 + r. Let c = s - 5. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14829 = -11567. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29829710539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 + 9*k + k**3 - 10 + 11*k**2 - 3*k**3. Let m be u(-10). Solve 1\/4*c + 1\/2*c**2 + m + 1\/4*c**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwioccod. Give prob of sequence occk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-168)\/72)\/(5*(-3)\/(-90)))\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/4 or -466133?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-17 - -7 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsllsttstst. Give prob of sequence tttt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 47. What is the greatest common divisor of d and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -350554?\nAnswer: -350555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*w - 82, -5*w = -2*w - n - 49. Let d be 4\/w - (-21)\/(-4). Let m(h) = -h**2 - 7*h - 7. What is m(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -2, 40, -3 in decreasing order.\nAnswer: 40, 7, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -38, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*i - 18*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -3*a + 24. Suppose -20 = -59*o + a*o. Suppose 4*y - 2*j = 20, 0 = -4*j + o*j + 4. Solve 5 = -m + 2*m - y*b, 4*m = 3*b - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 74 - (-5 + 4 - -5). Let z = p - 44. Suppose 2*v + 4*q = z, -3*v - 3*q = v - 27. Solve -a - 4*g = -9, -3*a - v = -g + 3*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/90*-58 - (-3 - 0). Suppose 2*h - k = 9, 4*h = -0*k - 3*k + 13. What is the second biggest value in 2\/3, a, h, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387442?\nAnswer: 2, 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -948923 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 13, 0.3, -4, 5\/6 in ascending order.\nAnswer: -4, -2\/3, 0.3, 5\/6, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0505, 1, -64, 3\/2, 5, -2\/11 in ascending order.\nAnswer: -64, -2\/11, 0.0505, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 16, 4*m + 634 = -12*d + 14*d. Differentiate -326*o - 4 - d*o + 26*o**3 + 222 + 651*o with respect to o.\nAnswer: 78*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 359 = -2*o + 1570, -5*v + 2*o + 1997 = 0. What are the prime factors of v?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 447, 895, 1343?\n\"Answer: 448*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3 + 20*z**2 + 117*z - 117*z to the form x*z + h + k*z**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + 0*q + (0 - 2*q + 0)*(3 + 4 - 5) + q - q + 2*q - 3*q + 7*q + 4*q + (-2*q - q + 4*q)*(-6 + 0 + 3).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide -1*19501\/(-9) + -3*30\/(-405)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -700*r**2 + 12*r. Let k(p) = 23100*p**2 - 400*p. What is 3*k(j) + 100*q(j)?\nAnswer: -700*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-30) + 3\/(-9). Which is the closest to 1? (a) k (b) 83 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 1, b: 1, h: 1, e: 1}. Give prob of sequence bq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2084*v - 1940*v + 911 + 2257 = 0 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -554939 or -554938?\nAnswer: -554939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 533. Let a(q) = 20*q**2. What is r(a(s))?\nAnswer: -20*s**2 - 533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 716394 by -6.\nAnswer: -119399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 6*h**2 - 4*h**2)*(h - h - h**2) + 3*h**2 - 44*h**4 + 46*h**4 - 4*h**2 + 11*h**3.\nAnswer: 3*h**4 + 11*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-456)\/(-492))\/(-19) + 0.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*0\/1. Solve 3*c = -3*r - 6, -3*c + 2*r + 0*r + 4 = s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(880\/35)*378\/(-441).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.46 in 2, 1, 0.3, 779?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43654 - 6?\nAnswer: 43645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/8 and 93\/65120?\nAnswer: 65120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2753085, 2753086, 2753087, 2753088?\n\"Answer: o + 2753084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmcm when four letters picked without replacement from jjpnpphphmhchhhhmjjj.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4326176, 8652387, 12978598, 17304809, 21631020?\nAnswer: 25957231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 23*u**2 + 416*u + 32. Let j be n(-18). Let s be (1 - -1)\/(-2 + 4). What is the tens digit of j\/6*s + 290\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17853170 is divided by 8926558?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.63 - 0.17. What is h rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15471, 15499, 15577, 15729, 15979, 16351, 16869?\n\"Answer: 4*c**3 + c**2 - 3*c + 15469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Suppose -4*y = 2*f - 4, -2*f = -b*y + y - 9. What is the first derivative of 3 - 1 + 1 - f*d**3 wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41156432, -41156430, -41156428, -41156426, -41156424, -41156422?\nAnswer: -41156420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23478 and 2687737.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -32*m + 146. What is u(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42562 and 19058?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2045 minus 14.5291?\nAnswer: -2059.5291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -720 + 783. Calculate the remainder when x is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccvecwv. What is prob of sequence cw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5082, -5090, -5098, -5106?\n\"Answer: -8*n - 5074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29040 and 1075.\nAnswer: 6243600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 21319716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -36*l + 141. Let z be v(4). Which is the third smallest value? (a) 0 (b) z (c) -1213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (39 - 36) - (-1 - 5 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzuu when four letters picked without replacement from {u: 3, z: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -111. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = q - 3*s + 3, -s = -3*q - 9. Which is bigger: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.051 - 25.949. Let g = 1\/6 - 19\/42. Which is the biggest value? (a) g (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let s(j) be the third derivative of 0*j - 1\/24*j**4 + 4*j**2 + 0 + 0*j**3. Determine s(f(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5244 in decreasing order.\nAnswer: 5244, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59167 is divided by 867?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*b**4 + b**3 - 8*b**2 - 9*b + 1079582?\nAnswer: 84*b**3 + 3*b**2 - 16*b - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*d - 125*d = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 389*(-2)\/46\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/100 + 2920\/(-4000) and -48\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jccfccffcfffjccf. Give prob of picking 2 f and 1 c.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13018 and 483?\nAnswer: 273378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1038756 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5614*b - 58 = 5606*b + 3*j, -j = -b + 6 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 35*k**2 + 114*k + 7. Calculate o(38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115 + 22*s - 62 - 56 to the form w*s + c and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 6}. Give prob of sequence pppf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 72\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4))**(3\/4))**(-2\/9)\/((v\/(v*(v\/(v\/(v\/(v**(-1)*v))))\/v*v*v)*v*v)**(-27))**(-29) assuming v is positive.\nAnswer: v**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 89. Determine s(5).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 62928879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.045527917 to 3 decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1315 = -893*j - 6722 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165*a - 45180 = 412*a for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-8)\/6)\/((-126)\/(-27)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 5945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = -55977 - 78404. List the prime factors of (-9)\/405*6 + q\/(-15).\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhkz when four letters picked without replacement from {h: 5, f: 1, z: 1, p: 3, k: 3, n: 1}.\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((328\/(-8))\/902)*11*-1.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6385 is divided by 920.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2532 (base 7) to base 8.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -356, -28, -4\/7, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38526316*k**2*o + 45*k**2 - 136803*k wrt o.\nAnswer: 38526316*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 230*n**4 + 53815*n**3 - 219210*n**2 + 223700*n - 4760 = 0.\nAnswer: -238, 1\/46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.876 - 40. What is y rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - 1 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:35 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a632a (base 11) in base 3?\nAnswer: 2201022200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 4\/(-30) + 244\/30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (128\/30 + 3\/(-5))*18. What is the highest common divisor of k and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*c = -19*c - 632 + 140 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 5. Suppose i - 3 = -5*h, 318*h - 3 = -i + 317*h. Solve 3 = i*z - k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5\/3806, 8.1 in descending order.\nAnswer: 8.1, -5\/3806, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 13*a**2 - 13*a + 17. Let i be o(-14). Suppose i*m + 4*z - 26 = 0, 5*m - 7*z + 10 = -3*z. Solve m*p + 12 = 6*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -325, 528 in increasing order.\nAnswer: -325, -13, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2. Let f(l) = 14*l. Give h(f(y)).\nAnswer: -784*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1622, 13237, 44764, 106157, 207370, 358357, 569072, 849469?\nAnswer: 1209502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**3\/6 + 3*z**2\/2 + 6*z. Let v be p(-3). Let g = 0.21 + 1.79. Which is the third smallest value? (a) v (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 5:29 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 17*a**2 - 14*a - 17. Let z(h) = h**3 + h**2 + h + 29. What is the remainder when z(0) is divided by n(16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -2*i**3\/3 + i. Suppose -d - 4*s = -18, -6*s + 15 = -s. Let m(x) = -x. Determine d*c(k) - 22*m(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2129593149385 + -2129593150326.000002783. Let a = l + 941. What is a rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2 + sqrt(88) + sqrt(88))*3)\/(sqrt(1152) - sqrt(1152)*2) + 1.\nAnswer: -sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.62 + 19.603. Let v = -0.029 + 0.012. Let d = p - v. Which is the closest to 2? (a) -4 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from xettt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2389, 4852, 7397, 10030, 12757, 15584, 18517, 21562?\nAnswer: 24725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14)*(-203)\/783\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 - 104.5. Let b = 32 - m. Sort b, -8, 2 in decreasing order.\nAnswer: 2, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3 minus -56626?\nAnswer: 56616.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1512 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 877 = 51*r, 4*c + 2*r = 2*c + 6 - 14 - 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7))**(-21) assuming b is positive.\nAnswer: b**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 1. Let f(c) = 2*c - 4. Give -f(n) - 6*s(n).\nAnswer: -8*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by 81.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-660)\/6 + (-27)\/15*(-190)\/114.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = 3*l, 3*j + 2*j - 15 = 0. Let g(x) be the third derivative of x**6\/120 + x**4\/8 + 4*x**3 - 32*x**2. List the prime factors of g(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1*(1 + -2)). Let g be 0*4*(-4)\/(-48). Let v = g - b. Let w(c) = -5*c**2. Determine w(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -28*m + 7. Let i be y(4). What are the prime factors of (-1)\/2 + i\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15914 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -251, -423, -509, -503, -399, -191, 127, 561?\n\"Answer: i**3 + 37*i**2 - 290*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(605) - 2*(sqrt(605) + 1)) + -5)**2*1.\nAnswer: 132*sqrt(5) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.66 + -1.14. Let x = s - -14.8. Suppose -6*g = -2*g + 12. Which is the nearest to x? (a) -1 (b) g (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357607 = -11755*g - 112039 - 110670 - 77964 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x - 2*u = 17*x + 46, 0 = x - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1121*p + 1093*p + 2292*p**2 + 2 - 2293*p**2 as k + s*p**2 + d*p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = 349 - 391 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*w**5 - 3*w**4 + 2224*w**2 wrt w?\nAnswer: -4200*w**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {s: 6, y: 2, p: 1, v: 2, q: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2507\/(-115) + 20 - 91\/(-35). Factor 19\/5*y**2 - 4\/5 - d*y + 3\/5*y**4 - 14\/5*y**3.\nAnswer: (y - 2)**2*(y - 1)*(3*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 11:31 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -373543*n*s**4 - 75273407*n + 21*s**3 wrt s?\nAnswer: -1494172*n*s**3 + 63*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.16 (c) -3 (d) -188\/5 (e) -1 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 19, w: 1}. Give prob of sequence wz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 78935 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15 + y + 0*y + y + y**2 - 2*y**2. Let v be w(5). Suppose -3*i + 7*i - 72 = v. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from ooyoyyyooooooyyy.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 6*q**2 - 6*q + 12. Let s be 3*1 - (-1 - 3 - -2). Suppose -u + s = -0*u. Let l be y(u). Is 4 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3136))\/(sqrt(35)\/(sqrt(20)\/sqrt(4))))**2 - 5*(-1 + sqrt(112) - sqrt(112))*1.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389128291 to the power of 1\/3, to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -176?\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 21, 44, 75, 114, 161, 216?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510 and 50.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 42*g**2 + 181*g - 141. Give j(-46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 38 - 28.5\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1599*0.151.\nAnswer: -0.1751449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z + 3*z**3 + 6\/7*z**2 - 6\/7.\nAnswer: 3*(z - 1)*(z + 1)*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**12*q\/q**1*q**3)\/(((q\/(q\/(q\/q**2)))\/q**(-2\/17))\/((q*q**4)\/q**(2\/11))) assuming q is positive.\nAnswer: q**(3871\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-120)\/9*(-24)\/20. Suppose 266*t - 262*t - u = 0. Solve 5*o + t = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 - 483*m - 13848. Determine z(-74).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 7*i + 4. Let k be f(-6). Let u(r) = -6*r - 14. Let o(g) = 34*g + 68. Let a(p) = 3*o(p) + 16*u(p). What are the prime factors of a(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3322313 - -10221?\nAnswer: -3312032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183.4 + -236. Let b = f - -53. What is the second biggest value in b, -2\/5, -5\/4, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3700*i**2 - i - 2120 wrt i?\nAnswer: 7400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*l, -5*l + 2*u = u - 6. Let r(n) = n + 10. Let a be r(4). Suppose -5*k - 5*d = 35, 2*k - 3*d = -l*k - a. Sort k, 4, -1\/5 in descending order.\nAnswer: 4, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*m - 20*m**3 + 46*m + 48*m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a + 1. Let y(w) = 5*w + 1. Let z(x) be the second derivative of -x**5\/20 + x**4\/3 - x**3\/6 - 35*x. Let l be z(2). Determine l*o(h) - 5*y(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2 + 248*w + 1008 = 0.\nAnswer: -4, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -14*f + 8*f. Suppose 4*w - f*r = 20, 3*w - 7 = -5*r + 8. Which is the second biggest value? (a) 4 (b) -7 (c) 3\/8 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + t**2 - 4*t - 1. Let g be h(4). Suppose 5*a - g = -3. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-292 - -173) + 13 + -1?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 134912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -515 - -525. Solve o*p - 7*p = -12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 16286\nAnswer: 27\/16286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 15866198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - 29.9. Let c = g + 32.00000068. Round c to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 less than -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4 + 1430969*b**3 + 511920216183*b**2 + 1535742046003*b - 2047663693156 = 0.\nAnswer: -715483, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/38921 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560 and 90?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j + 5 = 0. Let c = -49 + 54. Suppose c + 23 = -7*t. Put t, 5, -2, j in decreasing order.\nAnswer: 5, j, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2. Let y(i) = 1986*i + 6. Give x(y(d)).\nAnswer: -3944196*d**2 - 23832*d - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*z**4 - 605868*z**3 - 79149995*z**2 wrt z.\nAnswer: -624*z - 3635208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3 - 17) + (-35 - 64) + 17 + -6.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x. Let f(q) = -143*q. Give -2*f(z) + 33*p(z).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 32*n - 1808. Let g = n - 54. Solve -2*l = w, -4*l = -w - g - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27757 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-15) + (-6)\/(-5). Suppose 42 = -5*f - 3*s, -3*f - 3*s = k + 29. Let t be (-30)\/(-8) + f\/8. Solve 2*v + 2 = 2*y, t*v + 3 = -0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69896\/12 + 74\/(-111)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 32*z**2 - 9*z + 7. Let g be j(4). Let c = g + -195. Suppose 9*u - 18*u = -c. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -69*x**2\/2 - 52*x + 261. Does 9 divide n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - h**2 + h + 1. Let d(r) = -4*r**3 + 3*r**2 - 4*r - 4. Let m(a) = d(a) + 5*t(a). List the prime factors of m(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -110 in 3\/2, 3, 16\/3, 14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/11*6\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 + 337*f - 112*f + 81 - 2*f**2.\nAnswer: -12*f**2 + 225*f + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x + 1. Let w(a) = -3*a**3 + 2*a + 2. Let p(z) = -2*t(z) - w(z). Let y(c) be the first derivative of p(c). Let r(m) = -8*m. What is y(r(i))?\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -586 or -31116\/53?\nAnswer: -586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.5. Let n = -36\/13 + 38\/13. Which is the biggest value? (a) 4 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 914 or -4507.7?\nAnswer: 914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.374, 4, -233?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60450)\/70525*((-124)\/(-32) - 3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 2*q - q)*(-14256 + 3272 - 12828 - 31125 - 7561 - 5465) as t*q + h and give t.\nAnswer: 67963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.4, 44, 3, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 169408 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1366483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32565, -65759, -98999, -132291, -165641?\nAnswer: -199055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -302, -4, 2, 10, 28, -1\/7, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 9, k: 2, m: 2, u: 5}. What is prob of picking 2 k?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 2. Let p be a(0). What is the second derivative of p*d - 31*d**4 + 0*d + 29*d**4 wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 14. Let f = 2 + -8. Let l be (-9)\/f*(-2)\/12. Sort 1\/5, l, n in ascending order.\nAnswer: n, l, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1797117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (186 + 110*f - 186)*((4*f**2 + 2*f**3 - 4*f**2)*(-10 + 1 - 3) + 11*f**3 - 2*f**3 + 5*f**3) to the form s*f**2 + o*f + q + t*f**3 + d*f**4 and give d.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 187509521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -2365?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -137370, -274729, -412096, -549471?\n\"Answer: -4*t**2 - 137347*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -50*d - 11. Let g(m) = 25*m + 5. Give -5*g(o) - 2*l(o).\nAnswer: -25*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -5*g**7\/42 - 17*g**6\/8 - 39*g**5\/10 + 79*g**4\/6 - 12*g**3 + 95*g**2. Factor k(z).\nAnswer: -(z + 2)*(z + 9)*(5*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*7*418\/308. Solve -2*s + 7 = -3*z, 0 = 4*z + 15*s - l*s + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 12:37 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = 8*k - 280. Sort 9, k, 3 in increasing order.\nAnswer: 3, 9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**4\/24 - h**3\/3 - 3*h**2 + 38*h + 4. Let z(t) be the first derivative of b(t). Factor z(f).\nAnswer: (f - 6)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.653, 4, -168 in descending order.\nAnswer: 4, 0.653, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g*g*g**(-14))\/g**15)\/(g**(2\/11)\/g)**49 assuming g is positive.\nAnswer: g**(177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4544000 (base 8) in base 15?\nAnswer: 194a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 20 = 12*s. Let f(x) = 2*x**2 + 5*x + 4. What is the least common multiple of 18 and f(s)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184739 is divided by 5452.\nAnswer: 4823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(144) - sqrt(144)) + sqrt(144))\/(-4*(sqrt(32) + sqrt(8))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - i. Suppose 0 = 4*w + 20 - 0. List the prime factors of d(w).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 45, -3, 0, 6, 5, 3 in descending order.\nAnswer: 45, 42, 6, 5, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -149, -462, -1047, -1988, -3369, -5274, -7787?\nAnswer: -10992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 12:21 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.3374\nAnswer: -0.06748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*i - i - 15116 = 0, 0 = -i - 2. Suppose -4*b = 707 + q. Is b\/3*(-3)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2136 and 17273496.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - k = -m - 9801, 0 = -m + k + 2444. Let v = -1242 + m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26712543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 150 = -11*r. Suppose r*l + 8 = 19*l. Suppose l*s - 1337 = -3*y + 4*s, -3*y + 1309 = 5*s. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-11 + 7))*(66\/(-12))\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 602 + 5?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -378, -372, -380, -408, -462?\n\"Answer: -y**3 - y**2 + 16*y - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 331, 6, -29060 in ascending order.\nAnswer: -29060, 6, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 111899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-225)\/(-4) + 5\/(-60)*3. Let j = v - 53. Solve 5*d = j + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - -71. Let b be ((-2)\/4)\/(7*(-12)\/3024). Calculate the greatest common divisor of s and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2786993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 - -69078094\nAnswer: 69078095.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5721838305 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124818 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 4*d - d)*(2 - 3 + 2)*(-3 - 1 - 7) in the form n*d + l and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let j = 559 + -555. Let b be 1*y\/8*j. Solve p = -b - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 13252935.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(sqrt(1584) - (sqrt(1584) + -6*sqrt(1584)*-2)))**2.\nAnswer: 2304*sqrt(11) + 3649540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 4*l**2 + 20*l + 34. Let w be o(-2). Let p be 0 - 1 - (6 + -8). Suppose -p = h - 2. Solve -3*g - h = -w*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 374 and 24208?\nAnswer: 266288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.2 (c) 6 (d) 3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -100\/77?\nAnswer: -100\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2377.73 * -2.3\nAnswer: -5468.779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 10*x**2 - 10*x - 7. Let j be b(-9). Let w = 15 - 10. Suppose j*l - 1 = l, -o - 2000005 = -w*l. What is o rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-2) - (-4 - 61179 - -13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icc when three letters picked without replacement from {c: 3, r: 9, i: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3141053 less than -3141072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + w**3 + 167*w**2 + 174*w**2 - 340*w**2. What is y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**3*q - 48621*o**3 - 3*o**2*q**3 + 2*o**2 + 2*o*q**2 - o*q - 28*o - 52*q**3 - q + 12 wrt o?\nAnswer: 18*o*q - 291726*o - 6*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48 - (-3 + 4))*-5. Let i = -171 - h. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -2.7. Let z = 0.245 + 0.08. Let b = c + z. What is b rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4580 - -4578.9876. Let x = -0.0124 - j. Which is the fourth biggest value? (a) x (b) 4\/5 (c) 9\/4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*i**4 - 503 + 502 - 702*i**4 - 2*i**3 + 3*i - 4*i in the form f*i**4 + g*i**2 + q*i**3 + n + j*i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 4*a + 1. Let r(b) = b. Suppose -2 - 16 = -3*y. Suppose y*k - 3*k = -18. Calculate k*r(v) + w(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 4162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1833511?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 268 = j. What is the first derivative of -5*a**4 + 4*a**4 - 217 + j wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 + 4*v**3)*(4*v - 3*v - 2*v).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*9*(-1000)\/300?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66.2 - -57.22. What is k rounded to one decimal place?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 + 4*u**2 - 4*u**2)*((3 + 4 - 6)*(-2 + 1 - 1) + 0 - 3 + 1 + 1 - 3 + 3) as b*u + a + s*u**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1350002 + -22?\nAnswer: -1350024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + 6 + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + (8 - 3))\/((-1)\/59). Let i = h - -465. Let t(d) = d**2 + 6*d - 1. Give t(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaraaaaaraaaaa. What is prob of sequence rara?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:21 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 4*p - 21 - 11*p + 4*p to r + h*p and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.1165 - 0.1165. What is the closest to 0 in -5, 2\/13, 0.05, o?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 4*o**2 + 2*o + 9. Let u be m(5). Let w = -166 + u. Sort 4, -2, w in ascending order.\nAnswer: -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 48. Put -4, l, 9 in ascending order.\nAnswer: -4, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 39*u + 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, c: 1, a: 2, h: 4, m: 3}. Give prob of picking 2 k and 1 m.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765719 is divided by 382835.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 3 - 3 + (-5 - 2*q + 5)*(-4*q**2 - 3*q**2 + 3*q**2) + 77*q - 19214*q**2 - 2*q**3 + 19214*q**2 to the form y*q**3 + l + o*q + u*q**2 and give o.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100011001110000101 (base 2) to base 16.\nAnswer: -1a3385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 8:41 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 3, o: 4, f: 1, j: 2, v: 3}. Give prob of picking 1 c and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -982 (base 12) in base 14?\nAnswer: -718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*h + 80 = 163*h. Let q(n) = -5*n**3 + 9*n**2 - 8*n - 8. Let j(p) = 2*p**3 - 3*p**2 + 3*p + 3. Give h*j(g) + 3*q(g).\nAnswer: g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 1884168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o**(-2\/5)\/o)\/(o**(6\/7)\/(o\/o**12)) assuming o is positive.\nAnswer: o**(-744\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(77) + sqrt(77) + (-1*sqrt(77) - sqrt(77))*-3)\/(sqrt(11) + (sqrt(11) + sqrt(1331) + sqrt(1331)*-3 - sqrt(11)) - 6*-3*sqrt(11)).\nAnswer: -11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4 + 3*t + 2*t**2 - 3*t.\nAnswer: 2*t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430367.\nAnswer: 3, 29, 41, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 1\/(3\/1030767). Let n = u - 25609. Suppose -2*q + 158009 + n = -4*z, -5*q - 25 = 0. Round z to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4131\/(-357)*(-56)\/24\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 = -5*y, 3*r - 12 = 5*y - 2*y. Let d(o) = r*o + 2*o - 4*o. Let j(v) be the second derivative of -v**4\/12 + 2*v. Calculate j(d(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 1533681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164946 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 17 + 3 + 1 + 0 + 4*w. What is c(5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 216 - 210. Suppose 4*l = 3*l - 4. Is 67 + -3*l\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -5*m**4\/12 - m**3\/6 + 3*m**2. Let v(i) = -29*i - 175. Let p be v(-6). Determine r(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 4. Calculate the remainder when u(19) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = 5*d - 16, -13 = -5*d + 2*r. Suppose -5*o + d*o + 184 = 2*b, -3*o = -b - 256. What is the highest common factor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/310968 and -149\/14808.\nAnswer: 310968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.07 (b) -6\/11 (c) 110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -73d10a (base 15) to base 9\nAnswer: -11330451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)*z)\/z*z**23*(z*z**(2\/3)\/z)**16 assuming z is positive.\nAnswer: z**(205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4100, 4036, 3972, 3908, 3844, 3780?\nAnswer: 3716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -2 (c) 7 (d) -1 (e) 2\/7 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 580*n**2 - 10573*n + 3460.\nAnswer: -(n - 173)*(n - 20)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 bigger than 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -1\/4, 198, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -16. Let h = t - -13. Let q(x) = x**2 - 2*x - 6. List the prime factors of q(h).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(17\/(425\/(-325)))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237356877 is divided by 3878?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 4*t + 3508, t + 2 = -0. What is the remainder when z is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231673867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*k - 105, 0 = -0*l - 3*l + 3*k + 54. What is the remainder when l is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 7 - 23 = 36*d, -2*u - 2*u + 2 = -2*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaafaffpa. What is prob of picking 4 a?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 5*t + 5. Let m be p(-8). Let g = m - -23. Suppose -2 = -2*r + c, 0*c + g = 5*r - 3*c. Solve r*f = -y - 11, y + 1 = -0*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231816 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, z: 6, b: 4, i: 5}. Give prob of picking 2 i and 1 q.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1761171\/17 - -103699. Which is greater: 102 or r?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*w - 160 = -82*w. Suppose s - w = 34. Suppose 0 = x + 3*j - s, -x + 31 = -0*x - 4*j. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 276409*z - 1658418.\nAnswer: -(z + 6)*(z + 276403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 4:14 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-81)\/(-36))\/((-3)\/(-8)). Solve -q*b + b + 20 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 691411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 18, p: 1}. Give prob of picking 4 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80154111 to the power of 1\/2, to the nearest integer?\nAnswer: 8953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143171964 and 897?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 2}. What is prob of sequence ly?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuiuiiuiiuu. Give prob of picking 3 i.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**2*s + 2482277*i**2 - 284581757*s wrt i.\nAnswer: 2*i*s + 4964554*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2868 - 2848.89. What is g rounded to one decimal place?\nAnswer: 19.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -570\/11. Let x = 17989 - 17965. Which is the second biggest value? (a) x (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 7, -3\/4.\nAnswer: -19, -5, -3\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11 = 2*b, -2*o + 5*b + 11 = -0*b. Find the second derivative of 51*d - 11628*d**3 + o*d**5 + 11620*d**3 + 8*d wrt d.\nAnswer: 60*d**3 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 2*z**2 + z. Let b be k(2). Suppose -2*y + 4*v - 1 = 5, 5*v + 6 = -b*y. Let t = 2 + 3. Put 2, y, t in descending order.\nAnswer: t, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -4*q**5\/25 + 2*q**4\/5 + 52*q**3\/15 - 76*q**2\/5 + 96*q\/5 - 93. Suppose i(k) = 0. What is k?\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/3168147 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 849 = 30*l - 561. What is the remainder when 985 is divided by l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 1712*i - 1711*i + 85 - 28 = 0, 3*m = -4*i + i - 57 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14458708 and 48.\nAnswer: 173504496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 10734160 (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 287872997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-136)\/85)*5510400. What is a rounded to the nearest one hundred thousand?\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + -43. Let o = l + 251\/4. Which is the smallest value? (a) 1 (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25320 (base 6) to base 5.\nAnswer: -110132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*i - 5. Solve -3*p = -i*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, 1 a, and 1 q when four letters picked without replacement from {t: 2, a: 1, p: 1, l: 2, q: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 1652088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 233 = 3*d. Let x be d\/(-20) + 1\/5. Put 2, -3, x in ascending order.\nAnswer: x, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 43*w**2 + 291*w + 11. Calculate g(-5).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*f + 19, 4*t - 43 = 3*f - t. What are the prime factors of (-4)\/f + 19\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 1036.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 4)\/(4\/6). Suppose 2*q = -g + 5. Suppose -4*y = 3*x - 67, -y + 5*x + q = -10. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12622 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -7. Is 3 a factor of (-1 - g)*12\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpsvhfpfy. What is prob of sequence sp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 1064?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.4. Suppose -11 + 5 = -3*s. Let i = s + 1. Sort u, i, 1\/5.\nAnswer: u, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 116? (a) -0.3 (b) -1\/2 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*4*36*42\/945.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -638, -1651, -3142, -5153, -7726?\nAnswer: -10903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 z when four letters picked without replacement from hzthkztzk.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**4 - 6*i**2 - 5*i + 6. Let t(y) = -21*y**4 + 17*y**2 + 14*y - 17. Let h(x) = 17*d(x) + 6*t(x). Find the second derivative of h(r) wrt r.\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45037.\nAnswer: 29, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 8503167 + 11*c**2 - 8503167.\nAnswer: 11*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 + 2*b - 55)*(5*b**2 + 0*b**2 + 3*b**2).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/33)\/((s**(-40)\/s)\/s))\/(s**(-35)\/s*(s\/(s**(-38)\/s))\/s) assuming s is positive.\nAnswer: s**(1289\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 135, 191, 253, 327, 419, 535, 681?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 71, 452, 1497, 3542, 6923, 11976, 19037?\n\"Answer: 56*x**3 - 4*x**2 + x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t + 11 = -38*t. Is t <= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a + 5*r + 4, 4*r = a + 1. List the prime factors of -1*(-2)\/(-1) + (a - -22).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -12, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 - 419\/5. Suppose 27\/5*w**2 - 3*w - 6\/5 - m*w**4 + 3*w**3 = 0. What is w?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -340623?\nAnswer: -340638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (3 - 1) - -4) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.008 (b) 0.4 (c) -20 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6*p + 4. Suppose -2*d + 5*k - 2 = 16, 4*d = k. List the prime factors of d\/(p - (-18)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:26 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 2)*(3 - 6*j - 3) - j + 1 - 1)*(7*j - 8*j + 12*j).\nAnswer: 55*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.18037299 to 2 decimal places.\nAnswer: -5.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.335 - 4.665. Let g = -6 + 6. Which is the nearest to -2\/3? (a) -0.11 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -11*q - 47 - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*p + 19*p + 31*p**5 + 22*p wrt p?\nAnswer: 620*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-5)\/(-10)*-4. Let k be c - 1 - 2 - 16*-4. What is the greatest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1303, 1, 2957, -5 in increasing order.\nAnswer: -5, 1, 1303, 2957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*u - z + 7, 8 = u - 4*z. Let s be 5\/(-3) - u\/6. Let m be 372\/(-24)*(-304)\/(-2356). Sort m, s, 4 in decreasing order.\nAnswer: 4, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66313, 66316, 66321, 66328, 66337, 66348?\nAnswer: 66361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhfy when four letters picked without replacement from hfhjjajfjfyjhajh?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 4993542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 - 2*c**5 + 2*c**5 + (5*c**2 + 79 - 79)*(11*c**2 + 6*c**3 - 11*c**2).\nAnswer: 31*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 19 - 29. Put 2, h, -5, -11 in descending order.\nAnswer: h, 2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 + 0.8. Which is the nearest to 0.1? (a) 0 (b) n (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 e, and 1 m when four letters picked without replacement from {f: 1, p: 1, r: 1, m: 2, l: 1, e: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*80\/(-40). What is the units digit of (((-2135)\/10)\/7)\/(x\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066919 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*g - 5*g + 1 + (0*g - 2*g + 3*g)*(-3 + 3 - 2) + 51*g - 11*g - 17*g.\nAnswer: 19*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -147.\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6930.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -12*u**5\/13 - 82*u**4\/13 + 552*u**3\/13 - 662*u**2\/13 + 204*u\/13 = 0.\nAnswer: -34\/3, 0, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905836.\nAnswer: 2, 433, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -3\/7, 8\/5, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008491 rounded to 5 decimal places?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307845452.446 minus -0.3?\nAnswer: 1307845452.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 93193518535 plus -32?\nAnswer: 93193518503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**5 + 2*r**4 + 8*r**2 - 2*r.\nAnswer: -120*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 0 (b) -2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 33. Let f be i(11). Let t(v) = -16400 + v - 8*v**2 + 17*v**2 - 6*v**2 - 6*v**2. Let s be t(f). What is s rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24816165091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2880) + 2 - sqrt(2880).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 4 - 53*q + 15 + 5 - 32*q.\nAnswer: -85*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3646 + 3658. Let z(q) = 2*q**3 - 23*q**2 - 10*q - 9. Give z(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -27 - (-8 - 2 - -3)) + 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.87 - -2575.\nAnswer: 2571.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3\/4)\/(42\/(-21)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 27.6. Let k = n + -4. Which is the smallest value? (a) k (b) 5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 + 129. Sort -2, n, -3, 1 in decreasing order.\nAnswer: 1, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -5\/2 (c) 20 (d) -0.1 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -336519207.817 take away 0.13?\nAnswer: -336519207.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -62836940 to the nearest 10000.\nAnswer: -62840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -234289227 plus -1748.56?\nAnswer: -234290975.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 235.7 and -0.0683?\nAnswer: -16.09831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:15 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2382600*r*v**3 - 3*r*v**2 - 75962*r wrt v.\nAnswer: -14295600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r**2 - 3*r**2)*((-2 + 2 - 2 + (1 - 1 + 2)*(-2 + 4 - 1) - 5 + 7 - 6)*(-r**3 - 3*r**3 + 5*r**3) + (-1 + 1 - r**3)*(0 + 4 - 2)).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 20*b**3 - 30*b**3 + 4*b**3 - 13*b**3.\nAnswer: -59*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -5, -12, -4, -416 in ascending order.\nAnswer: -416, -12, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 = -13*k + 968 + 1025. What is the highest common divisor of k and 3038?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24301 minus 16.1323211?\nAnswer: -24317.1323211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140.97 + 0.97. Let m = -136 - n. What is the second biggest value in -0.2, m, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + b**2 + 1. Let j(c) = -5*c**3 + 6*c**2 + 2*c + 8. Determine -j(t) + 6*q(t).\nAnswer: -t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.26 to one decimal place.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/5 - 17823\/(-65) 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 1637976 and 3753?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.309 in 4, -70, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -98*l - 51. Let p be r(-10). Let f = -444 + p. Does 44 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 28 + 7. Let b = -5 + i. What is the second derivative of 4*o**2 - o**b - 4*o**2 + 2*o wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.4 (c) 0.3 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -962*p**3 + 2196*p**2 wrt p.\nAnswer: -5772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*z = 2*n + 18, 5*n + 22 = -3*z. Is n >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*n + 2, -3*n - 2 - 3 = -5*u. Let h = -2.8 - -0.8. Let c = h - -2. Is c < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(5580\/45)*(-27)\/(-87)*16\/(-6)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 4*i - 18, -9*i + 15 = 5*n - 14*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 32039.983 to the nearest integer.\nAnswer: 32040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 2*(sqrt(99)*4 + sqrt(99)) - sqrt(99)) + sqrt(99))\/sqrt(9).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 96699*m + 13114070. Give g(136).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 151*r**2 - 5. Let p be y(2). Let d = p + 161. Round d to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*i + 28 = 0, 0 = 18*q + 4*i + 6*i + 229 - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2672)\/224 - ((-81)\/45)\/((-6)\/(-40))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25347729 to the power of 1\/2, to the nearest integer?\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -2*m**3\/3 - 1. Let j(w) = w**2 - 14*w. Let a be j(15). Let z(b) = 23*b - 38*b + a*b - b**2. Give q(z(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 1 + 8. Let j(d) be the third derivative of 0 - 4*d**2 + 0*d - 1\/24*d**4 + 1\/3*d**3. Give j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 45 = -0*u - 3*a, -5*a - 5 = 0. Let h be 4\/14 - (69\/u + -3). What is f in 3*f**2 + h*f**2 + 16 - 16 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -31\/2 (b) -3\/5 (c) 2.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 97*f - 315. Give n(9).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*q**2 - 45*q**2 + 20*q**2 + 142*q**5 wrt q?\nAnswer: 8520*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1001\/4 + -45043\/180. Let m(h) be the third derivative of 0 + h**2 - 1\/12*h**4 + 2\/9*h**3 + 0*h + c*h**5. Factor m(v).\nAnswer: 2*(v - 2)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0 + (2 - 3 + 6)*(-2 + 0 + 0))*(0*b + b + 0*b)*(-50*b + 12*b + 18*b).\nAnswer: 220*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -37) + 25 + -49?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3*0\/2. Solve n = 2*l - z - 5, -3*l - z = -3*z - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172 + -152. Suppose 0 = 5*q - 27 + 2, 5*d = -4*q + a. Solve d*h + 3*h = 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 - 14*b**3 + b - 83 + 2*b**2 - 4*b**2 + 177 in the form d*b**2 + n + g*b + l*b**3 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3819*l - 1200 = 3771*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2646515 (base 8) to base 13\nAnswer: -1cc19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 179 (b) -0.00874 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + 4\/3. Solve 3*l**2 - 12*l + 5 - 3*l**2 + 4*l**h + 3 = 0 for l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f + 68*f = 134*f - 30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -13 + -3 + (-2 - 2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 12 = 17*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 3}. What is prob of sequence vxx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.92560162 less than -1280?\nAnswer: -1154.07439838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f - 25 = -3*v, -4*v - f - 5 = 0. Let u be (-3 - v\/1) + 2. Which is bigger: u or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -867*g**5\/20 - g**3\/6 + 413*g**2\/2 - 386*g - 1. What is the second derivative of i(v) wrt v?\nAnswer: -5202*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5454275 (base 8) to base 4.\nAnswer: -11211202331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*u**3 + 4*u**2 + 438*u + 2 wrt u?\nAnswer: 192*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -533 - -513 - (4 + 16).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/705 + -3239\/1410. Let m = z - -9\/5. Which is the second biggest value? (a) m (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -573.1229512 rounded to the nearest ten?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - (-4)\/16. Let v(u) = -19 + 14 - 4*u + 6. Let x be v(1). What is the nearest to 0 in -1, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17756 divided by 1358.\nAnswer: 8878\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684038773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 d when three letters picked without replacement from {e: 2, d: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-1))\/(-5)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50933009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63425 is divided by 31644.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 437*g - 17 + 39.\nAnswer: -437*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 18*f**2 + 14*f + 65. Determine q(-7).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57439159\/70 - -820349. Let m = -1046\/5 - i. What is the common denominator of m and (27\/72)\/((-1)\/76)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*n + 33*n + 632 + 2087 - 154 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 21, 1\/4, 0.4, -3\/11, 4, 2\/47, 0.3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 1796?\nAnswer: -5\/898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13904585, 13904578, 13904569, 13904558?\nAnswer: 13904545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 195 and 3223?\nAnswer: 628485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2471881*o**3 - 2472045*o**3 - 28 + 28.\nAnswer: -164*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2 - b - 1. Determine v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/((-616)\/(-84))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*w + 13. Let j be (-5 + w)\/((-2)\/(-28)). Let l = -1 - j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lztt when four letters picked without replacement from {l: 1, z: 1, t: 2, a: 1, m: 1, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15752.369 - -196.269. What is z rounded to the nearest one hundred?\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**4 + 11*t**3 - 17*t**2 - 11*t + 21. Let c(o) = 2*o**4 - 6*o**3 + 8*o**2 + 6*o - 10. Let d(w) = -10*c(w) - 4*m(w). Factor d(f).\nAnswer: -4*(f - 2)**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/(10\/12). Let y = 5 - 4.6. Let t = y - 0. What is the third biggest value in 3\/7, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1978 - 1978 + k - 1972 + 5928. Let w(r) = -3*r**2 - r. Suppose 0*u - 2*u - 28 = 0. Let f(h) = h**2. Let a(t) = u*f(t) - 4*w(t). Determine x(a(n)).\nAnswer: -2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 7. Calculate k(-28).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32162 - -57459. What is the remainder when s is divided by 278?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 18*z**5\/11 - 24*z**4\/11 - 20*z**3 + 80*z**2\/11 + 122*z\/11 + 24\/11 = 0.\nAnswer: -3, -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*f + 6010 - 24451, 2*s - 5*f = 12305. List the prime factors of s.\nAnswer: 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2 - (-4 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 - 2*t + 2*t + (-2*t + 0*t + t + 1)*(9*t - 36*t + 18*t) in the form m*t**2 + w + c*t and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148607*m**4 + 105*m**3 + 194615730*m wrt m?\nAnswer: 1783284*m**2 + 630*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -164, -246, -328, -410, -492?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39, 77, 117, 159, 203, 249?\n\"Answer: u**2 + 35*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 3*u**2 - 2*u + 2*u. Let c(k) = 23*k**2 + 4*k - 5. Let n(f) = -41*f**2 - 9*f + 9. Let o(r) = 9*c(r) + 5*n(r). Determine h(o(y)).\nAnswer: -8*y**4 + 72*y**3 - 162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 3. Let b be f(-2). Let h = -2 + 4. Suppose -6 = -p - h. Sort b, -2, p in ascending order.\nAnswer: b, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(19) + sqrt(684) - (sqrt(114)*3 + sqrt(114) - sqrt(114))\/sqrt(6) - (sqrt(2736) - (2*(sqrt(2736) + -1) + sqrt(2736)) - (sqrt(2736)*-2 + -5))**2.\nAnswer: -45 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1900836091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10 + 11*p - 2*p**2 - p**2 + 2*p**2. Let r = 7 + 5. Let w be d(r). Round w to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/5)\/((-9)\/60) - 1. Let t = -8 - n. Let w = 363 + -366. Put 3, t, w, -2 in decreasing order.\nAnswer: 3, t, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvjjjvvjj. Give prob of picking 3 j.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/6*(-176)\/14520. Let b be (-2)\/(-10) + (-105)\/25. Let t = b + 5. Which is bigger: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -118 (c) 2\/41 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27.978954s?\nAnswer: 0.4663159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 4. Let z = 12 - a. Let q = z + -11. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*k = -20, 10 + 10 = 5*s - 4*k. Let i = 0.0706 + 0.3764. Let u = i + 13.553. Which is the third biggest value? (a) u (b) -4\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*i + 792 = 40 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8200 + -8199. What is the closest to -6 in -1\/2, -1\/120, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - g - 1. Let h(y) = 5*y**3 - 7*y**2 - 7*y - 6. Let a(p) = 5*p. Let m be a(-1). Let n(i) = m*o(i) + h(i). What is n(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -17*s + 13*s + 27, 3*o - 8 = -s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -87, -86, -85, -84?\n\"Answer: b - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 37088?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1577912, -1577910, -1577908, -1577906, -1577904?\nAnswer: -1577902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 11*y**3 + 2*y**2 - y. Suppose z = -0*z + 1. Does 4 divide m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 + 3*v + 0*v)*(3*v**2 + 2*v**2 - 4*v**2) - v**3 + 0*v**3 + 0*v**3.\nAnswer: 2*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - (-38)\/4. Let q = 117 + -87. Solve -q + j = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -1714.8, -1854\/5?\nAnswer: -1854\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 12. Let g be (-3)\/1 + -4 + b. Let x be g*-1*(-1)\/24. Is x <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in 0.2, 2\/3, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93720 = -113*f + 135*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1483 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -76. Let x = 1341 - 1189. What is the remainder when x is divided by f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8 plus 167480?\nAnswer: 167484.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194593?\nAnswer: 7, 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(3\/7)*n)*n)\/n)\/n)\/(n**(-5)\/n) assuming n is positive.\nAnswer: n**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/32 and 1\/3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.98248 + -0.25588. Round x to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -25*q + 45\/2*q**2 - 22. What are the prime factors of r(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -31. Let j(b) = b**2 + b. Determine j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let f = -89 + 86. Suppose -1 = 2*v - v. Let s(c) = -c**3 + 2*c**2 - 4*c. What is f*n(m) + v*s(m)?\nAnswer: m**3 - 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000043894761 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74\/683 - 76609\/68300. Find the common denominator of 23\/400 and r.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1\/3, -6, 1\/136, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 220825127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - t - 29 = 0, 8 = 3*f - 5*t - 53 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -1, 2, 5, -3 in ascending order.\nAnswer: -3, -1, 2, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + 1ba?\nAnswer: 1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (76\/2354)\/(-1)*(-20)\/(-40) and 35\/963.\nAnswer: 10593","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - 919*j - 5391. Determine k(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 28)\/16*(-3 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 99 = -0*o. Let v = o - -54. Let s = -107\/5 + v. What is the second biggest value in 5, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 321 - 208. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 21609 = -29*q - 45701 + 21792 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 20*p - 119. Solve -5*x - p*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181397 divided by -1145?\nAnswer: 181397\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*p**2 - 571*p**3 - 12*p**2 + 12823*p + 1 - 21*p**2 - 12823*p wrt p.\nAnswer: -3426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56786 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1 + 0)**2 + -3.\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176.9 + -2030.9. Let w = 1854.00000913 + x. Round w to 7 dps.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/6*(-841)\/(-725)*-20\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*b - 2*d, 3*b + 2*d + 2 = -8. Suppose 6*h = -2 + 146. Suppose -i - 3*i + h = b. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/90 + 2\/(-5). Let j = -3 - -3.4. Sort 3\/5, d, j in ascending order.\nAnswer: d, j, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107671317.\nAnswer: 3, 13, 487, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47051013?\nAnswer: 3, 37, 423883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 45 = -5*g, -3*z = -2*z + 5*g - 33. Let y = 37 - z. What is the greatest common factor of 56 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542 - 1296 = -61*o - 510 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6 - -4) + -1 - -4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101863715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -c - 273 + 2227, c - 1942 = -4*d. What is the greatest common factor of c and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 = -5*o, -o - 10 = -2*r - r. Let f = 4 - 19. Let d be (-27)\/f - 3\/(-15). Solve -c - o*g = 9, c + d*c + 7 = -g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -29. Let u(s) = s**3 + 6*s**2 - 10*s - 7. What is u(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/3)\/(((-23)\/6)\/(-23)*-4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264097, 264095, 264091, 264085, 264077, 264067, 264055?\nAnswer: 264041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 - 982*v**2\/9 + 119054*v\/9 + 122018\/3.\nAnswer: 2*(v - 247)**2*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87122 or -87120?\nAnswer: -87122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose -4*t + 174 = 2*f, -106 = -2*t - v*f - 16. Let c = t + -29. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3877 and 15.\nAnswer: 58155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8898 - -16633. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8211863 and 5192?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*o = -24, -5*u - 3 = 188*o - 192*o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1655, 2687, 4357, 6665?\n\"Answer: 319*r**2 + 75*r + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4 + 1 - 7*q - 2 - 4 - q**2. Let r = 476 - 482. Give b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2175 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 1 z when three letters picked without replacement from {z: 3, p: 4, s: 3, e: 6, k: 3}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqwaaaaxfqwqax. What is prob of picking 1 f and 2 q?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:23 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -392286029668 + -0.3\nAnswer: -392286029668.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 3:11 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (0 + 0) - (66 - 64)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*s + 5. Let j = 24 + s. Solve -5*t = -2*n - 3*t, 20 = -j*n - 2*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -262*s - 161*s - 110*s - 6*s - 2*s + 2*s + (0 - 3 + 1)*(-s + 0*s + 3*s).\nAnswer: -543*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -6\/181, 2, 5?\nAnswer: -6\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*z - 59 - 1, 2*m - 28 = -z. Suppose -22 = 2*k - 4*d, -3*d + m + 1 = -k. Let i be 4\/(-4) + -2 + 0. Put k, i, 0 in decreasing order.\nAnswer: 0, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + z. Let q(t) = 2*t**3 + 6*t**2 - 6*t - 1. Let f(k) = q(k) + 6*s(k). Let p be f(1). Let g be 3\/3 - (-2)\/(-6). Are g and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 50*q**2 + 60*q - 360.\nAnswer: 5*(q - 2)*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/2171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1294*o + 6549. What is s(8)?\nAnswer: -3803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - r = -15, 3*r + 105 = 3*w + 96. Solve 0 - 6*f + 6*f**2 - 3\/2*f**w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13304 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-10))\/((-4011)\/31780). Let p = r - 1\/191. Find the common denominator of p and 2 - ((-15)\/(-12) + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s - g = 12975, 3*g = 2*s - 25946. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -14. Find the common denominator of -69\/8 and -3*((-11)\/7 - r).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -16, -2.\nAnswer: -16, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 2. Let c be k(2). Let p = c - 0. Solve 3*l - 3 + p = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 13) to base 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -191 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -193305 and -0.081.\nAnswer: 15657.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 3*r + 28. Let l be i(-7). Let y = -2 - -5. Suppose -4*j = 4*q - 208, j + j + y*q - 103 = l. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -9\/5, -0.3, 161, -4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-1)\/sqrt(7) - sqrt(1911)\/sqrt(3).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31564155*s**4 - 28631622*s**2 wrt s?\nAnswer: -757539720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 e, and 1 r when three letters picked without replacement from {j: 3, e: 1, r: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1426*n**2 - 248*n. Let b(p) = 57*p**2 - 10*p. Let t(m) = 124*b(m) - 5*r(m). Let d(g) = -4*g**2. What is d(t(o))?\nAnswer: -15376*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*z**2 + 61*z**3 - 63*z**3 + z**2 to the form u*z**2 + y*z + q + s*z**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 61378 times -109\nAnswer: -6690202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/71 (b) 767 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -1\/4 (c) -2\/3 (d) 0.4 (e) 851\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3. Let c = -5\/29 - -59\/174. Let k(l) be the second derivative of 0 - c*l**4 - 2*l + 0*l**3 - 2*l**2. Determine -4*k(z) - 6*o(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from {m: 2, o: 1, a: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106386433.\nAnswer: 37, 1049, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612 a factor of 2361869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -717160 + 717160 + 617*j to the form g + d*j and give d.\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/13)\/z*(z**10*z*z)\/z*(z\/(z\/(z*z*z**(-1\/4))))**(-6\/5) assuming z is positive.\nAnswer: z**(1007\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.62832 and 23.1?\nAnswer: 8.47168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 216679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343850 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10413 + -10412. Which is the nearest to -3? (a) -4 (b) -24 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:15 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 2*m**2 + 3*m. Let k be a(3). Let g be (6\/9)\/((-1)\/k). Is (-9)\/g - 2354\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -361 + 725 - 364 - 1308*x - 2202*x to m*x + g and give m.\nAnswer: -3510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1766404\/77 + -22940. Are 1 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 16606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -225 - -240. Solve -b = 3*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853224989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -912 in -2\/9, 2, -0.3, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (52 + (-187 - -86)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(11\/220).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 1, -68\/9, -6395 in descending order.\nAnswer: 1, -6\/11, -68\/9, -6395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -74. Suppose -4*r = i - 161, 5*r + 393 - 71 = 2*i. What is the highest common divisor of s and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015256 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441363 is divided by 6396.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 905 divide 35065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 4*g + 6*g)*(6 + 1 - 6)*(-1 + 5 + 10).\nAnswer: 112*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i + k = -13, 5*i - k = -29. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2707.9 + -2708. Which is bigger: m or 5708?\nAnswer: 5708","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/286 - 28\/(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0 - m**2 - 6 - 1 - 6*m. Let u(v) be the first derivative of -7*v**2 - 160*v + 27. Let f be u(-11). Give t(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 12*z**2 + 13*z - 7. Let r be t(11). Let s = r - -101. What are the prime factors of s?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 + -4791a23?\nAnswer: -4791a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1193 + -1203 + -1 + -19 + -2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*x - 45*x - 45. Suppose 0*w = w + 3, x = -4*j - 3*w. Solve 3*y - 30 = -j*b + 3*b, -15 = 2*y + 5*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b + 6*b)*(1 + 1 - 3)*(55*b - 62*b + 51*b).\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z**2 + z - 1. Let l(g) = 27*g**3 - 31*g**3 + 5 + 0 - 2*g**2 - 2*g**2 - 7*g. Determine 5*f(x) + l(x).\nAnswer: x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1105428044 - -1105416647.12042. Let r = -11397 - o. Let d = 0.12 + r. What is d rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-22) + (-184)\/44. Let g be 0 - x*3\/6. Factor 0 + 4\/7*z + g*z**4 - 24\/7*z**3 + 6\/7*z**2.\nAnswer: 2*z*(z - 1)**2*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 2 - (-4 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14704, 2, -5, -2 in descending order.\nAnswer: 2, -2, -5, -14704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -4*s**5\/5 - 15*s**4\/4 - 16*s**3\/3 - 3*s**2\/2 + 2*s + 3. Solve w(r) = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = a + 17, -5*a + 1 = 2*n - 22. Suppose -3*m + 109 = 5*k, -5*m - 3*k + 115 = -8*k. Calculate the greatest common factor of n and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15749?\nAnswer: 15749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*m - 31 - 143 - 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q + 1. Let r(x) = -2*x**q + 5*x - 5*x. Let h(z) = -6*z**2 + 3*z + 3. Let p(u) = -5*u**2 + 2*u + 2. Let o(c) = -4*h(c) + 6*p(c). Determine o(r(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4703898 rounded to the nearest ten thousand?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9) - (-3 - (-14)\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*p + 66*p + 51 = 0. Let f(u) = u + 4. Let g be f(-4). Suppose -a - p*a + 888 = g. What is a rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -9 - -3) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c - 98 = -272 + 759 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/94846104 and 19\/18?\nAnswer: 94846104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.2. Let x = -0.1 + 0. Let y = 0.1 - x. Which is the closest to o? (a) -3 (b) y (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -r - d + 29, 2*d + 8 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 35*v - 31. Let u be m(-35). Let n be 0*(2 - 1) + -141. Let q = u - n. Is 29 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/3*(-164)\/(-1025)*(-30)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaj when three letters picked without replacement from {x: 1, j: 1, a: 4, r: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10373*w + 10373*w - 22*w**2 - 16 + (-3 + w + 3)*(3*w - 3*w - w).\nAnswer: -23*w**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -4*x + 4*x - 39 + 141 - 50*x**2 + 45*x**2. Let h(b) = -12*b. What is j(h(f))?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2 + 13 = 5*w, 2*k = w - 6. Suppose -3*t = -w*t + v + 125, -5*v = -15. What is the greatest common factor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 - 1771\/9. Which is the second biggest value? (a) z (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.4 + -0.281273.\nAnswer: 8.118727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5))**(-1\/22)\/((k\/(k*k**(-8\/7)))\/(k*k**(-2)*k*k))*(k**(1\/4))**(-1\/22)*(k**2*k)**35 assuming k is positive.\nAnswer: k**(322981\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1143 (base 7) to base 9\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 935 and 23243?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(3\/(-6)))\/(154\/70)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 2. Let s be 1\/(15\/9 + -2). Calculate the remainder when -1 + 1\/(s\/(-15)) is divided by m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107492 and 21028.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2288 * -0.7.\nAnswer: 0.16016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-38)*4\/(-39)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(56) - (2*sqrt(504) + sqrt(504))))\/(6*((sqrt(168)\/sqrt(3))\/sqrt(7) - (sqrt(8) - sqrt(288)\/sqrt(4)))).\nAnswer: -40*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiaiiiqqqiqiiiqqqqi. What is prob of picking 2 q and 1 a?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10779 - -0.22.\nAnswer: -10778.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1042454 + 5?\nAnswer: -1042445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 2. Let q(g) = 2 - 5*g**2 + 0 + g**3 - g**2 + 7*g**2 - g. Let b be q(-2). Let j be i(b). Solve 0 = -j*o + 2*t - 3 + 13, t = 5*o - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4866 - 14596\/3. Let p(l) be the first derivative of 0*l - 3 - 1\/6*l**4 - k*l**2 - 2\/3*l**3. Factor p(y).\nAnswer: -2*y*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9953481*p**3 - 1187728 wrt p?\nAnswer: 29860443*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:50 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385718.\nAnswer: 2, 192859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24552, 24438, 24324, 24210, 24096, 23982?\n\"Answer: -114*p + 24666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 1, q: 2, u: 3, t: 7, v: 3}. Give prob of sequence jux.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 11*b - 298. List the prime factors of b.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24047913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 310 and -430.\nAnswer: -133300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061283 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (24786\/(-108) + 226)*((-24)\/(-63) + (-1)\/(-3))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 2. Let t = 9.2 - r. Let b = 2.7 + -2.7. Sort t, b, 1\/9 in increasing order.\nAnswer: b, 1\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/15*10\/(-4). Suppose k*c - 3*i - 43 = 2*i, 5*c = i + 57. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 12, 0 = -3*p - 2*l + 18 + 2. Suppose 4*i + 321 = x, -6*x - p*i + 690 = -4*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r + 5*r)*(-19*r**2 + 250*r**4 + 23*r**2 - 4*r**2).\nAnswer: 2250*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29181.27 meters?\nAnswer: 29181270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*g = -l - 3, -4*l + g - 18 = 0. Let t(n) = 7*n + 34. Let d be t(l). Put -4, d, -10 in decreasing order.\nAnswer: d, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 1 (b) -78\/119 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5 - -149708?\nAnswer: 149703.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 9.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y + 7451 - 8675 = 0 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99715910429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7337 + 1050. Let k = -9188 - b. Let v = k + 4102. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1244)\/132 + 5\/55. Are -10 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eec when three letters picked without replacement from {i: 3, e: 3, c: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 19*c**2 + 10*c + 14. Let m be l(-10). Suppose 20 = -5*b, -5*k + 13*b = m*b - 16. What is the least common multiple of 2 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135292520, 135292523, 135292526, 135292529, 135292532, 135292535?\nAnswer: 135292538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (3 - 0) + -10 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7282 and 4951?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/135 + (-26)\/(-117)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4034 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 + 10*l. Let w(m) = -3*m**2 + 9*m - 1. Let c(k) = k**2 + 8*k + 2. Let j be c(-7). Let r(t) = j*y(t) + 6*w(t). Factor r(s).\nAnswer: 2*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6857\/1386 + 16\/99. Find the common denominator of k and -8\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3240 and 1880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -27 + 18 + -3 + 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**3 + 50*z**2 + 195*z = 0. What is z?\nAnswer: -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 0.03, 2, 5\/6?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-159*o**2 + 56*o**2 + 63*o**2)*(-4*o + 10*o + 113*o + 18*o) as p*o**3 + n*o**2 + h*o + x and give p.\nAnswer: -5480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 27. Suppose 0 = -3*c, 4*q + g*c - 168 = 4*c. What is q rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-9) - 2\/6. Suppose s*w - 105 = -5*y, 4*y = 4*w + 115 - 7. Factor 29*a - 12 - 65*a - 3*a**2 + y*a.\nAnswer: -3*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a + 25*a = -g + 33, -5*g + a - 3 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2)\/(2\/1). Let w(c) = -2*c + j*c - 4 - 1 - 8. Is w(-11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10737.56 - -19789.1. Let h = a + -9034.53933. Let b = h + -17. Round b to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 4*g**2 + 10*g + 7. Let a(u) = -u**2 + 9*u + 10. Let b be a(11). Let z be (45\/(-6) + 10)*b\/(-5). Determine l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (504\/(-60))\/(-42)*(-40)\/(-26).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1185\/(-20)*26\/6. Let y = 256 + z. Which is smaller: 11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/9205 and -55\/789.\nAnswer: 27615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874 (base 15) to base 11.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1036067267*r**5 - 1060302148*r?\nAnswer: 20721345340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2003857, -2003821, -2003761, -2003677, -2003569?\n\"Answer: 12*u**2 - 2003869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -481 and -18.99.\nAnswer: -499.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -64. Let u = -19 + q. What is the least common multiple of 4 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -945399 divided by 24241?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2\/21 (c) -0.0406 (d) -0.3196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 5685\nAnswer: -3411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-32)\/(-12) + -3 + (-211240)\/(-120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 + 23385*z + 69203684 = 0. What is z?\nAnswer: -19909, -3476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1280, -3591, -5886, -8165, -10428?\n\"Answer: 8*z**2 - 2335*z + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-1 + sqrt(405)).\nAnswer: -45*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5. Let q = 0.267 - -14.033. Let g = 13.3 - q. Which is the nearest to v? (a) 2 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/((-7)\/5481). Suppose -5*j = -v - 710, -2*j - 3*v + g = -8*v. Let f = -85 + j. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b - i = 30, 4*b = -3*i - 13. Let w be (0 - 7)*(0 + 1). Let s = b - w. Solve 2*t = -s*t - a - 9, -a = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*g - 30*g + 114*g)*(2*g - 4*g - 1 + g).\nAnswer: -156*g**2 - 156*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, e: 2}. Give prob of picking 1 e and 3 n.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 8:34 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962 = 27*f - 854 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + 3*v**5 + 0*v**4 + (2*v**4 + 5*v - 5*v)*(116*v - 166*v - 196*v).\nAnswer: -489*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 126.703?\nAnswer: -63.3515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/35 + 94\/(-14). Let o(u) be the third derivative of u**5\/60 + 7*u**4\/24 + 5*u**3\/3 + 6*u**2 - 18*u. Give o(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - 0.06. Is l smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 18*t - 11 = n, 5*n = -5*t - 35 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 6. Let s(u) = -u**2 - 2*u + 6. Let t(x) = 6*f(x) + 5*s(x). Give t(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.575099 milligrams in tonnes?\nAnswer: 0.000000007575099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Suppose -5*l + w*o - 11 = 0, -36*l + 33*l + o - 7 = 0. Suppose -3*k = -10 + 4. Is k at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkkfffffkkfffkffff. Give prob of picking 1 f and 2 k.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 39535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1558*p + 1562*p + 1560*p + 1565*p + 1567*p - 7801*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 + 158. Is 68 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14055664 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*q + 19 - 3, -5*p - 2*q = -28. Put p, 2, 20 in decreasing order.\nAnswer: 20, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020397 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-104) + (-27)\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1056 + -1056.3. Let o = 30 + -28. Which is the second biggest value? (a) o (b) h (c) 3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 227201 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4180203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlw when three letters picked without replacement from {m: 1, r: 1, u: 1, j: 2, w: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z + 108 = 0. Let k = 77 + z. Suppose -2*x + k = -47. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*4*8\/(-32). Let n be 396\/110 + 3\/(-5). Put k, 30, n in increasing order.\nAnswer: k, n, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 7*g**2 + 4*g - 5. What is the remainder when n(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 4*x**2 - x - 4. Let v be d(-4). Solve 4*w + 3 + 5 = v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1530, 1538, 1546, 1554, 1562?\nAnswer: 1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5709*i - 840 = -5669*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 10:05 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4 + 232*w**3 + 231*w**2 = 0.\nAnswer: -231, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-70)*14\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6. Let k = 30.5 + -25.38. Let m = -0.12 + k. Which is the second smallest value? (a) m (b) l (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 813035?\nAnswer: -813032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 1486?\nAnswer: -1486.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -63525*b**2. Let t(h) = 3*h - 14. What is t(g(x))?\nAnswer: -190575*x**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387 and 1118?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 2:46 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 8*c + 5*z - 82, 2*c = -2*z + 40. Let h = 270 + c. Does 72 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*n**5 - 4*n**3 - 17*n**2 + 6963*n - 11?\nAnswer: 280*n**3 - 24*n - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 6*d**2 + 5*d - 2. What is the least common multiple of g(-7) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 p when four letters picked without replacement from zgzpgpggeehwpwh?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31523092 to the nearest integer?\nAnswer: 5615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -47*z - 6. Suppose -4*p - 5*g = -8, 0 = -2*p - 3*p - 5*g + 5. What is the remainder when a(p) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15193 divided by -1.\nAnswer: 15193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 7*b**3\/3 + 499. Let g(x) = -157*x. Give i(g(d)).\nAnswer: 172543*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1364*w**3 + 248*w + 248. Let c(r) = r**3 + 2*r + 2. Determine 2*b(y) - 248*c(y).\nAnswer: -2976*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) 0.4 (c) 6 (d) 10 (e) 25 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -249 + 251. Differentiate 4*r**x - 8*r + 67 + 0*r - 8*r**2 + 0*r**2 with respect to r.\nAnswer: -8*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 82?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 184670724 a multiple of 5289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 o when three letters picked without replacement from {o: 10, h: 5, b: 2, s: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2 + 434373*x - 6515820 = 0.\nAnswer: -434388, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r - 1. Let t(y) = 11*y - 3. Let s(d) = 4*d**2 + 73*d - 52. Let q be s(-19). Calculate q*z(u) - 2*t(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 11, 4, 41 in decreasing order.\nAnswer: 41, 20, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 - -2728. What is the highest common factor of r and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2415232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*o - f, -3*o - 2*f = f - 3. Suppose -5*a + 2*a - 26 = -2*l, -a = -4*l + 72. Suppose 1 = -9*d + l. Solve d*z + 2 = -o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:31 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 1. Suppose f + 0*f = 0. Let t be n(f). Let p be 0\/(t - -2) + 0. Solve p*c + c - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 8)*(-2 + 4 + 1)*(-3*u - 4*u + 6*u)*(-11*u + 6*u + 8*u) + (0*u - 3*u + 4*u)*(-u + 2*u - 3*u) to the form h*u**2 + a*u + i and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 43.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/(-12)*(-173)\/(25604\/16)*-216?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - y - 31 = -7*i, 0 = -4*y - 4. Let g be 9\/4 + (-2)\/8. Suppose g*u + 5*x - 13 = -0*x, -2*x + i = 0. Put -5, 0, u in increasing order.\nAnswer: -5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*c = 0, 0 = 3*q + 100*c - 99*c - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 283513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**3\/9 + d**2\/3 - 14. Factor j(c).\nAnswer: c*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -332, -695, -1058, -1421, -1784?\n\"Answer: -363*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -5. Let y = p - 7. What is the closest to -2\/7 in -0.4, y, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 157.5373 millimeters?\nAnswer: 0.1575373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(80) - (-1 + sqrt(80)))**2 + sqrt(5)*1*4 + sqrt(35)\/sqrt(7)*6 + 5 + -1)*1.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 57131675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -52*m**2 - 36*m**2 + 77*m**2. Let a(f) be the second derivative of -5*f**3\/2 - 3*f. Give o(a(w)).\nAnswer: -2475*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38753 + -38752.99. Let a = 2.3 - 1.4. What is the biggest value in 2, a, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (-3)\/(165\/(-155)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unanmnxuunmumn. Give prob of picking 2 n and 1 x.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1581895, -3163786, -4745677?\nAnswer: -6327568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 2. Let b(g) = g - 1. Suppose 5*n - 3*m + 64 = 0, -2*n - 25 - 7 = 2*m. What is n*b(l) + 6*v(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 160039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 32*l**2 - 148*l + 214. Give u(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let u = -17 - -12. Let k = -148 - -246. Let o = k - 68. Put o, 5, -4, u in descending order.\nAnswer: o, 5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3)*(355\/(-10) + -2). Let q = 15 + -3. Suppose h - o = -q. Calculate the greatest common factor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a gram in milligrams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -26.\nAnswer: -26, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-6\/5)\/f))\/f)\/f**(-2\/11))\/(((f\/((f\/f**(-7))\/f))\/f)\/(f\/(f**(-3)*f)))*((f\/f**(-2)*f)**22)**(-1\/49) assuming f is positive.\nAnswer: f**(28529\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2700\/24*12\/10. Let f be 1\/7*-3*(-90)\/g. Put -2\/3, 3\/5, 0, f in ascending order.\nAnswer: -2\/3, 0, f, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -14*m**3 - 2*m**2 + 3*m + 1. Let v(k) = 42*k**3 + 7*k**2 - 8*k - 3. Give -3*v(f) - 8*w(f).\nAnswer: -14*f**3 - 5*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 3, 64, -48, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x + 134 = 0. Let h = 201 + x. List the prime factors of h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b + 4*b - 2028. Is 39 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 699944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*b + 2*n, 4*b - 521 + 477 = -4*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -391 + 394. Find the second derivative of -16*o**2 - 202*o - 77*o**3 + 76*o**m - 27*o**2 wrt o.\nAnswer: -6*o - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: List the prime factors of 689099614.\nAnswer: 2, 7, 563, 87427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -13. Let h = 0 - -1. Let m = 0 - h. What is the third biggest value in 1, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 226?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 5353667?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2 + l**2 + 15*l**3 - 2*l - l + 2*l + 3. Let z = 71 + -67. Suppose -z*v + 47 = 43. What is i(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + v**2 - 1. Let u(c) = 9*c**3 + 6*c**2 + 6*c + 8. Let a(m) = -6*d(m) + u(m). Let z(s) be the first derivative of a(s). Differentiate z(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 24. Let u(n) = -4 - n**3 + 6*n**2 + 5 + 0*n**2 - g*n + 2*n. What are the prime factors of u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y**3 - 1266 - 5*y**4 + 2*y**4 + 12*y**2 + 1266 + 4*y**5 + 4*y = 0. Calculate y.\nAnswer: -2, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/(-15)*(-175)\/(-40)*(-52)\/(-91). Let m(t) = -8*t**3 + 12*t**2 + 1. Let h(b) = -b**3 + b**2. What is a*h(y) + m(y)?\nAnswer: -2*y**3 + 6*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 3*p. Let d be v(-3). Suppose g - 3*g = d. Let k(w) = 7 - 1 + g*w - w. Calculate k(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 31\/6*l**3 + 0*l + 1\/30*l**5 - 13\/24*l**4 - 5 - 4*l**2. Let r be k(5). Solve 4 = 5*o - r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 0.056337?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96774926 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2398 + 2404. Solve 3*h = -2*m + 1, 4*h + 1 = -s*m + m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-32))\/((-3)\/(-12)). Let l = 1 - 0. What is the nearest to 2\/11 in -5, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*s**3 - 1509*s**3 + 83*s**3 - 2621*s**3 - 136*s**3 - 872*s**3.\nAnswer: -5402*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*b - 4*z, 5*z = 2*b + 2*b. Suppose 0 = -c - 4*w + 15, b*c = c - w. Sort c, 2, 3 in descending order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165616 divided by -4?\nAnswer: -41404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012016096 + 5?\nAnswer: 4.987983904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165732 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49693, 99150, 148603, 198052?\nAnswer: 247497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*d**3 + 32*d**3 - 65*d**3 + 103*d**2 wrt d?\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18866, -18870, -18874, -18878?\nAnswer: -18882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 8*n - 6*n + 25, -4*n = -2*h + 74. Calculate the smallest common multiple of n\/((-51)\/(-16))*(-6)\/4 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 0*x**3 + 0*x**3)*(49 - 629*x**2 - 22 - 27).\nAnswer: 629*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 + -175. Let d = 653\/5 + -130. What is the biggest value in k, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-4) - (-1)\/(-4). Suppose -4*m - 3*p + 27 = -15, 0 = m + 5*p - 19. Suppose -3*g - m = 0, 0 = t + 2*g + 3*g + 15. Solve -z + b = -t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/7*m**2 - 12\/7 - 2*m = 0.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1191 and -1752.59.\nAnswer: -561.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*353.\nAnswer: 176.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 0.3. Let o = u - -0.4. Let i = 19 - 16. What is the closest to o in i, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 15106546203\nAnswer: -15106546202.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/5)\/z)**(-19\/4)*(z**(-3))**(10\/17) assuming z is positive.\nAnswer: z**(369\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1950776.1 to the nearest 10000.\nAnswer: 1950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -131, -239, -349, -461, -575, -691?\n\"Answer: -a**2 - 105*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 210 = 5*z + 7*d, 175 = 4*z + 3*d. Suppose 3*p + 22 - z = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 3*q + 2. Let d(x) = x**2 - 2*x + 3. Let u be d(2). Let c be o(u). Let y be (12\/(-5))\/c*-75. What is y rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (237\/(-2528))\/(3\/89) and ((-186)\/(-10))\/((-112)\/(-10)).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + 0 - 2 + 0 + (1 - 1 - 3)*(4 + 1 - 7))*(2*o - o + o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369542 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 - 77*b**2 - 52*b - 287. Is i(46) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 - 115\/(-35). Suppose 3*u = c + 6, -3*c - 2*u = s*u - 52. What is the least common multiple of (0 - c\/3)*-6 and 11?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4733109ng in kilograms?\nAnswer: 0.0000000000004733109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k - 1. Let z be v(3). Suppose 2*i - 12 = -2*i + 4*d, 15 = z*i + 2*d. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1088) + sqrt(17) + 4.\nAnswer: 3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9 + -0.07. Let n = -0.03 + p. Let z = 1.5 - 2. Which is the second biggest value? (a) z (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -13*s + 9. Let t(a) = a**3 - 2*a**2 - 5*a + 5. Let k be t(2). Let d(b) = 20*b - 14. What is k*d(q) - 8*c(q)?\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + 2\/(-5). Let t = m - -2. Let v = 981 + -976. Put t, 3, v in ascending order.\nAnswer: t, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 16. Let x(t) be the third derivative of t**4\/3 - 31*t**3\/6 - 7*t**2. Let l(s) = -11*n(s) + 6*x(s). What is the derivative of l(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -20*y**3 + 9*y**2 + 47*y - 31. Let g(r) = -10*r**3 + 5*r**2 + 23*r - 15. Let l(b) = 5*g(b) - 3*j(b). Factor l(k).\nAnswer: 2*(k - 1)**2*(5*k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.395 - -1.605. Is k < -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by 219.\nAnswer: -116\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 - 11 = 4*o, -5*q - 4*o = -20. Let c(h) = -2*h. Let b(u) = -3*u + u + 0*u. Let s(d) = q*b(d) - 6*c(d). Let z(w) = 2*w**2. What is s(z(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83)\/167245*-93)\/(((-2)\/15)\/(10\/3)).\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -53446634?\nAnswer: 53446635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4671 - -4673. Put -4, 4, r, 204 in descending order.\nAnswer: 204, 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -s + 2*s - 20, 0 = -4*b + 12. Let h(o) = -14 + o + 22 + s - 6. List the prime factors of h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-24 + (-27 - 4))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-33) - (-75)\/11. Suppose -j*m + 3*m + 2*o = -18, -5*m - o = -40. Let c(f) = -f**3 + 8*f**2 - 6*f + 3. What is the units digit of c(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*p**2 + 2*p**2 - 57*p**2.\nAnswer: -274*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1674976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 30. Let c(w) = -2*w**2. What is r(c(b))?\nAnswer: 8*b**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 892 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.13852139 to 4 dps.\nAnswer: 1.1385","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 8*t**2 + 1. Let v(a) = 13*a**3 + 37*a**2 - 11*a - 3. What is -4*h(x) - v(x)?\nAnswer: -x**3 - 5*x**2 + 11*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -468 - -492. What is the least common multiple of 81 and l?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyz when three letters picked without replacement from {l: 2, j: 5, b: 1, z: 1, y: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4117.\nAnswer: 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 5*r)*(-3 - 1 + 0)*(-6*r - r - 1 + 11*r)*(-2 + 0 + 0).\nAnswer: 160*r**2 - 40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 147*q - 146*q + 5*h, 3*q = -3*h - 9. Sort -4, q, -12, 0, -1 in ascending order.\nAnswer: -12, -4, -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**5 + 10190*o**4 - 1268*o**2 - 79465135*o?\nAnswer: -40*o**3 + 122280*o**2 - 2536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -30. Let b(m) = 2*m**3 - 7*m**2 - 15*m + 16. Is b(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.053 (b) 1\/2 (c) -2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -456 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 767 (b) 4 (c) 597\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*f - 5*o - 40 = 0, 5*o = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 3*p**2 - 3*p - 2. Suppose -2*l = 4*o - o - 3, 0 = -5*l + 3*o - 24. Let c be a(l). What is the greatest common factor of 77 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 10*b**2 + 15*b - 11. Let h be x(11). Suppose -6*t - 5*m + 28 = -3*t, -3*m - 47 = -4*t. What is the greatest common divisor of t and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36452?\nAnswer: 2, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*t. Let g(w) be the third derivative of 0*w**4 + 0 + 0*w + 0*w**t + 1\/20*w**5 + w**2. Let u(j) = 3*j. Calculate u(g(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-241)\/(-108))\/(-2*(-6)\/46836). Let i = d + -8706. What is the common denominator of -35\/9 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/5*(-28)\/56*10.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3\/7 - 121*a**2\/7 + 230*a\/7 - 104\/7.\nAnswer: -(a - 1)*(a + 26)*(5*a - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -111846 divided by 6?\nAnswer: -18641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 86*k**2 + 4*k + 1. Is u(1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16003565 and 5.\nAnswer: -16003560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 7*z**2 + 10. List the prime factors of p(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndfgxrx. Give prob of picking 1 r and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -68*f**2 + 11427*f - 497. What is j(168)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140243443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233439*k**2 + 578792 with respect to k.\nAnswer: -466878*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2 + 8*a - 7. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-8))\/(1\/(-6)))\/(38 + 2261\/(-76)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84712796 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -475*m - 255*m - 7193 - 29307 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 511*j**4 + 2*j**3 - j**2 - 4. Let g(a) = -510*a**4 - 3*a**3 + 3*a**2 + 6. Let k(o) = -4*g(o) - 6*l(o). Find the third derivative of k(v) wrt v.\nAnswer: -24624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**12)\/(k\/k**(2\/25))*k\/k**(5\/6)*(k\/(k*k*(k*k\/(k\/k**0))\/k))\/k assuming k is positive.\nAnswer: k**(1537\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 70\/11, -1904, 2 in decreasing order.\nAnswer: 70\/11, 2, -0.02, -1904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*h - 103492 = 101972. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 - 18219*y - 9409484 = 0. Calculate y.\nAnswer: -17687, -532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3587162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 20*v**3 + 4*v**2 + v - 3. Let o be k(7). Suppose -4*i + 3*z - 7*z + o = 0, 5*z - 1749 = -i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by 165\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and -3 + 420\/32 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246564 - 246564 + 16*q + 36*q**2 + 14*q**3 = 0 for q.\nAnswer: -2, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44935296 and 1752?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3 - 11700*g**2 - 4940544*g - 542101504 = 0.\nAnswer: -5402, -224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - 2*sqrt(40))*5)\/(5*sqrt(32)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 6*o - 11. Let s(q) = 6*q + 7*q + 23 + 0*q**2 + 4*q**2. Let u = 15872 + -15866. Calculate u*s(m) + 13*f(m).\nAnswer: -2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5173, -20601, -46281, -82213, -128397, -184833, -251521?\nAnswer: -328461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 14, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 + 3*x - 2. Let y be a(-4). Let z = y + -12. Let k = z + 16. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 4*n**2 + 4*n**2.\nAnswer: 8*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/3 + 286*g**2\/3 - 1492*g\/3 - 592 = 0. What is g?\nAnswer: -148, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-78)\/12 + 10)\/(2\/(-8)). Sort g, -21, 0 in decreasing order.\nAnswer: 0, g, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i + i**4 + (-i**3 - 3*i**3 + 2*i**3)*(-4*i + 2*i - i) + i**4 - 6*i**4 - 7*i**4.\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238 or 247?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fe1 - -4?\nAnswer: fe5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + 205*f - 635. Give m(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**7\/630 + s**5\/24 + s**4\/12 + 2*s**2. Let y(z) be the second derivative of u(z). Find the first derivative of y(a) wrt a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*o - 19 = 0, 4*o + 0*o + 14 = -3*j. Let l = j - -6. Let u(m) = l - 3*m**2 - 3 + 1 + 2*m + 2*m**2. Calculate u(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 13*k**3 - 12*k**3 - 2*k - 8*k**2 + 2*k. Suppose 14*d + 65 - 23 = 0. Let f(o) = -o**2. What is d*z(m) + 24*f(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2022*z**3 - 248253*z**2 - 190965*z + 55266 = 0.\nAnswer: -122, -1, 151\/674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -50 - (54 - 29)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -314*y + 0 - 46*y**3 - 2*y**4 + 1036136*y**2 - 136 - 1036358*y**2 = 0. Calculate y.\nAnswer: -17, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 720 and 1152.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 2*d**3\/3 - 7*d**2\/2 + 366*d - 49. What is the derivative of g(m) wrt m?\nAnswer: 4*m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(3*(-1)\/180). Let t be (0 - -18000)\/(9\/c). Round t to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2037)\/(-4))\/7*(-3 - -47).\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 985707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-11.6.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10582.677 to the nearest 100.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - u = 7, 3*u = l + 2 - 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 33462 = -22*a. Which is smaller: a or -1015?\nAnswer: -1015","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 345\/28 + -20299\/84. Let v = 233 + s. Find the common denominator of v and -26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13017 - 3188*w**2 + 3206*w**2 + 13016.\nAnswer: 18*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*n - 66, -2*n + 22 = v - 12. What is the lowest common multiple of n and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Let m be (261\/(-27) + 10)*6\/(-5). Which is the second biggest value? (a) -6 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*s + 25 - 25.\nAnswer: 195*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*2\/4)\/(-1). Let q be 0\/(-2 - (m - 2)). Let t = -11\/3 + 74\/21. Which is the second biggest value? (a) q (b) t (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(145\/(-3))\/(-5). Let s = r - 46. Suppose -16*u + 136 = -s*u. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5645438 is divided by 199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-693712)\/(-44) - -10) + (-12)\/66 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 559 - 474. Let y(a) = -157 + 72 + 6*a**2 + x. Let k(f) = 5. Let l(q) = q - 4. Let o(i) = 4*k(i) + 5*l(i). Calculate y(o(v)).\nAnswer: 150*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/2)\/(c\/(c**(-1)\/c))*c*c**(4\/3)*c*(c**(2\/9)\/c)\/c*c*c*(c**(-2\/3)*c*c**(-5)*c)\/(c**(-1))**39 assuming c is positive.\nAnswer: c**(619\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(2\/109)\/(((l**(2\/13)\/l)\/l)\/(l*l**(2\/5)\/l)))**(-50) assuming l is positive.\nAnswer: l**(-160440\/1417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24942 by -10.\nAnswer: 12471\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3))\/(l**(7\/8)\/l))\/(l**(7\/6))**(-38) assuming l is positive.\nAnswer: l**(1019\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 9*z + 17*z = 0. Suppose z = -7*x + 8*x - 3, -5*f = -3*x - 6. Solve -f*n + 12 = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(((-4095)\/54)\/65)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 11, b: 1}. What is prob of sequence yv?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-6))\/(2\/(-3)). Sort a, -12, 4, -4.\nAnswer: -12, -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6 - (28 + -30) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100320132 (base 4) in base 15?\nAnswer: bac78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (21\/7)\/(1\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 2, q: 1, g: 2, w: 1}. What is prob of sequence ddq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/19*y + 2\/19*y**2 + 0.\nAnswer: 2*y*(y + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38c (base 15) in base 7?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d. Let w(s) be the first derivative of s**2 - 7*s - 3. Let g(t) = t - 3. Let r(u) = 14*g(u) - 6*w(u). Determine v(r(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1)*-2 + 3. Suppose n*y - 60 = 2*y. Solve 0 = -2*u - 5*w - y, -u + w = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -111 + 40 + 35 + 35. Let t(r) = -2*r**2. Determine 5*k(o) - t(o).\nAnswer: 2*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/11 + -4\/33. Let w be ((-5)\/10)\/(6\/(-8)). Which is the closest to -2\/3? (a) -0.07 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -21.\nAnswer: -17\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + 2*sqrt(384))*-3)\/(sqrt(968) + (sqrt(968) - (sqrt(968)*2 - sqrt(968)) - sqrt(968)) - -1*(sqrt(16)\/sqrt(2) + sqrt(8))).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1906631, 3813254, 5719867, 7626464, 9533039, 11439586, 13346099, 15252572?\n\"Answer: -b**3 + b**2 + 1906627*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 4 - (-3 + -1*sqrt(5)).\nAnswer: 7 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 + 0 = 0. Let b = -2 + z. Determine p so that -5\/3*p**b + 2\/3 + 4*p**2 - 3*p = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 4*i**2 + 4*i + 2. Let k be h(-2). Let v(t) = -k + 0*t**3 - 1 - 2*t**2 + 0*t**3 + t**3 + 3*t. List the prime factors of v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(-2\/7))))\/s)**27\/(s\/(s\/(s*(s*(s**(2\/7)*s)\/s*s)\/s)))**(-13) assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 15. Calculate the smallest common multiple of 16 and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 12. Suppose r = -n*r - 5. Let z = -292\/5 + 58. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + y + 3. Let f(k) = -k**2 + 2*k. Let q be f(3). What is the units digit of v(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1301469085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*h - 25. Suppose 11 = -h*m + 1. What is the remainder when 28 is divided by ((-1)\/m)\/(1\/30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1, 481 in decreasing order.\nAnswer: 481, 1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 + -84. Suppose 5*t = -4*k - 254 + 96, 176 = -5*t + 2*k. Let c = -23 - t. Calculate the remainder when c is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 96 + 40 - 3*o + 56.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, z: 5}. Give prob of picking 1 n and 1 z.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 184088897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 5*a**3 + a**3 - 5 - 5*a**3 + 4*a**2 + 0*a**3 + 5*a. What is o(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 1\/28, -0.02 in increasing order.\nAnswer: -25, -0.02, 1\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0 = -16. Let p be 0 + -5*(r\/20 - 2). What are the prime factors of (39\/2)\/(3\/p)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 3*b = 2*t - 15*t + 43, -b = 7*t - 57 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227054333.\nAnswer: 11, 103, 200401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -2*s**6\/5 - 7*s**4\/4 + 18*s. Find the third derivative of k(j) wrt j.\nAnswer: -288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(30)\/sqrt(80)))\/(sqrt(120)\/(sqrt(50)\/sqrt(20) + sqrt(10))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62618 minus 17964?\nAnswer: -80582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -29*u**2 - 171*u + 23. Let y be w(-6). Let m(b) = -b**2 + 7*b - 2. Let z(x) = x**2 - 7*x + 3. Let v(f) = -3*m(f) - 2*z(f). Give v(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16121, -128935, -435151, -1031471, -2014597, -3481231, -5528075, -8251831?\n\"Answer: -16117*v**3 + v**2 + 2*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6641 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {z: 2, n: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.069 - 0.569. What is the nearest to 2\/9 in -0.3, 2\/17, z, 0.62?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i**2 - 12*i - 35. Let o be l(-9). Let f = o + 822. Solve 3*j = 3*a + f*j - 2, 18 = 5*a - 2*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*o = -30*o + 380. Solve -14*i + 15*i - 6 = -m, o*m - 8 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1222656 + -69688415\/57. Let g = c + -157\/3. Put 1\/7, 3\/4, g in decreasing order.\nAnswer: 3\/4, 1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h - 5*h + h. Let w(q) = 2*q**2. Give w(s(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 105 + 5?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*p + 7*p. Suppose 2*k = w - p, -21*k + 24*k + 18 = 3*w. Solve 25 = w*x + 27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127181 is divided by 18167?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 6*g**2 - 4*g + 13. Let a be y(4). Calculate the remainder when (a\/(-3))\/(5\/(-15)) is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*b**2)*(b - b - 7*b**2) + (3 + b**2 - 3)*(212*b**2 + 25*b**2 - 7*b**2) to the form q*b**3 + n*b**2 + i*b**4 + p + y*b and give i.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94c - -13247?\nAnswer: 128fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 6. Let u be d(-6). Let m be 3\/((-42)\/35)*24\/(-10). Let x be (m\/u)\/((-2)\/380). What is the greatest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 561 - 348. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14ccef (base 16) to base 12.\nAnswer: -558a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-276 + -1 - -7) + 3. Let w = q + 326. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from ffqffqf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 7. Suppose -7*d = -8*d + 7. Let k(y) = -6*y - 8. Let r(i) = d*f(i) - 6*k(i). Differentiate r(v) with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**4\/3 + 6*n**2 - 22. Let z(j) be the second derivative of 0 + 1\/6*j**4 + 0*j**3 + 0*j**2 - 10*j. Determine z(a(o)).\nAnswer: 128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 4404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -4348.\nAnswer: -65220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - x**2 + 1 + (x + 0*x - 2*x)*(-4*x + 2*x + x) + 2*x**2 + 2*x - 2*x - 2*x**2 + 2*x**2 + 2*x**2 + 2 - 2 + x**2 + 0*x + 0*x - 2*x**2 - 3 + 5*x.\nAnswer: 3*x**2 + 5*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40971 - 40973. Let k(w) = -w**2 + w - 1. Let o(g) = -5*g**3 + 3*g**2 - g + 2. Let c be o(2). Let j(m) = 12*m**2 - 14*m + 14. Calculate c*k(y) + f*j(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, -0.705, -6\/5?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 2*d + 2*d)*(3 - 3 + 2*d**2) - 4*d**3 - d**3 + 3*d**3 in the form n + h*d**2 + c*d**3 + x*d and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13968 is divided by 245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g - 1. Let c(f) = 5*f**2 + 6*f + 6. Let b(k) = c(k) + 6*r(k). Suppose 2 = s - 0. Let i(z) = 4*z - 2*z - s*z + 2*z**2. Calculate i(b(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6220 (base 7) to base 2\nAnswer: 100001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 9:13 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 60 + 20*i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 519c + 5?\nAnswer: 51a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138799696 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -5*a**8\/336 + 5*a**7\/21 - 25*a**6\/24 - 5*a**5\/3 + 50*a**4\/3 + 160*a**3\/3 - 32*a**2. Factor j(n).\nAnswer: -5*(n - 4)**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let d(n) = 1334*n**2 - 1. Calculate d(m(f)).\nAnswer: 1334*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (164\/(-984))\/((-1155)\/(-5040))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxjmxmjmjjjjxmxjm. Give prob of picking 3 j.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1202 or 1238?\nAnswer: 1238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p = -128 + 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 11*p - 28. Let i be y(-4). Is i > -0.044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4138 or -4139?\nAnswer: -4138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45917 is divided by 205?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 38*l**2 + 494*l + 4. Give x(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 4*z - 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1323)*-5)\/(sqrt(9) - 5*(sqrt(9) - sqrt(81) - sqrt(9) - sqrt(9)) - -5*((sqrt(9) - sqrt(144) - sqrt(9)) + sqrt(9))).\nAnswer: -35*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/19544188 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -18. What is the third derivative of 2*y**a + 26*y**4 + 8*y**4 - 9*y**2 - 6*y**2 wrt y?\nAnswer: 864*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)\/(w*w**(-8))*(w**2)**(-1\/10) assuming w is positive.\nAnswer: w**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-231 - 295 + 199)*(2*a + 2*a - 5*a)*(-3 + 3 - 2) in the form u*a + m and give u.\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -137898 divided by -6?\nAnswer: 22983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -2)\/(18\/12). Let y be (1 + -6)*(1 + f). Suppose -2*q = -2*j - 3*q + 8, -5*j = -y*q - 50. What is the greatest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2304855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 - 128. Solve 0 = -11*i + v*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(0*t - 4*t + 2*t)*(-1 + 1 - t) in the form m + z*t + g*t**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/224*(-112)\/(-70).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -23, -3, -4, 1 in decreasing order.\nAnswer: 1, -1, -3, -4, -18, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126003 (base 7) to base 6.\nAnswer: -301330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 20 = 0, w + 3*w = -17*q + 144848. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4589567*c**3*w**3 + 8*c**2*w**3 - c**2*w**2 + 2387*c**2 - c*w + 3*w wrt c?\nAnswer: 27537402*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37dd2 - -3?\nAnswer: 37dd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 + 985. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**5\/30 + m**4\/24 + m**3\/3 - 2*m**2. Let r be s(-2). Let n = -2 - r. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -393880251.\nAnswer: 1\/131293417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4143 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*w - 7 + 7 + (3 - w - 3)*(3 - 4 + 5)*(0 - 2 + 3))*(5*w**2 - w**2 - w**2) as c + i*w + h*w**3 + r*w**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 - -1045?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-2))\/(-3)*(-32)\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54393270 divided by 6.\nAnswer: 9065545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2. Let x(m) = 53960*m**2 + 710*m. Let v(l) = -1065*l**2 - 14*l. Let d(k) = -355*v(k) - 7*x(k). Give j(d(i)).\nAnswer: 252050*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10838976 and 1728.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 12:20 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 12:19 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o**2. Let q(n) = -1. Let t be 1 - (0 - (-6 + 4)). Let y(s) = s - 4. Let j(z) = t*y(z) + 4*q(z). What is v(j(k))?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*a**2 - a**3 + 75*a**2 - 4*a**3 - 5*a**3.\nAnswer: -10*a**3 - 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (2 - 4\/(-2)). Suppose d*x = -15*x + 306. Let t(y) = 13*y**2 - y - 4. What is the remainder when t(-3) is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*q - 29*q + 8. Solve 4*b - 1 - 3 = 0, 0 = j - 5*b + q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 15 + 1 - 3*f + 5*f. Suppose 0*d - 47 = -3*a - 5*d, -3*a = -2*d - 82. Calculate the smallest common multiple of a and x(0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 22582*y**4 + 63979830*y**3 + 1334086250*y**2 + 1270129000*y = 0 for y.\nAnswer: -5635, -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 14 = -3*i, 4*i - 24*l = -26*l + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -95, -6.\nAnswer: -95, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49851 divided by -50.\nAnswer: 49851\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 486.18 times 1\nAnswer: 486.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = n + 2*d, -d - 12 - 25 + 93 = 5*n - 7 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3 - 4 + 5 + 0 + (3 - 3 + 2)*(-4 - 1 + 3) + 4 + 1 - 3)*(-19565*b**2 - 18525*b**2 + 40932*b**2).\nAnswer: -5684*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9426*u - 251 = -5*s + 9429*u, 0 = -u + 3 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 11. Let o be z(-3). Let p be (20 + -340)*125*o. What is p rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 71478.3 decades?\nAnswer: 7147.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -107001450, -107001448, -107001446?\n\"Answer: 2*a - 107001452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300974, 300968, 300962, 300956, 300950, 300944?\nAnswer: 300938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 10 + 0*q**3 - 4*q**3 to z*q**3 + n*q**2 + p*q + b and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1847*q**2 - 42*q - 51. Is l(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 527323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4205 - 8091 + 5022 + 0 + 1 - 2 - 3 + 5 - 3 + (-3 + 1 + 0)*(4 - 3 - 2))*(2*o**5 + 2*o**5 - 2*o**5).\nAnswer: 2272*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2 - 2)*(-67*z**2 + 192*z**2 + 674*z**4 - 673*z**4).\nAnswer: 2*z**5 + 250*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -141557*u + 17*u**2 - 3*u**2 + 19*u**2 + 141586*u. Let o(h) = -2*h**2. Calculate p(o(r)).\nAnswer: 132*r**4 - 58*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3572 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*r + 188 = 2*o, 3*o - 4*r - 278 = 0. Does 31 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -5, -40\/29, 4?\nAnswer: -40\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.345275cm to meters.\nAnswer: 0.09345275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7320*w - 22277 + 22277 + (1 - 1 + 1)*(w - w + 2*w))*(3 - w**4 - 3).\nAnswer: -7322*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/6)\/(((-120)\/32)\/(-5)). Which is the second biggest value? (a) -2 (b) o (c) 0.5 (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 8) to base 5.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 3*t + 14. Calculate the lowest common multiple of n(0) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1841856071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 + 84*j + 513 = 0.\nAnswer: -19, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -c + 4*m + 2, 2*c = 3*m + 4. Suppose 5*y - 4594 + 654 = -5*t, -2*y = c. Suppose -t = b - 229. Round b to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in 4, -1\/2, -0.0446?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6925, 13889, 20875, 27895, 34961, 42085, 49279?\nAnswer: 56555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147576 and 1306.\nAnswer: 96367128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) - (-55)\/15. Let f(i) = -i**3 + 5*i**2 - 3*i. Let t be f(n). Solve -6 + 18 = -t*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*f - 29, -f - 79 = -4*g. Calculate the remainder when 58 + (2 - 4\/2) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + u**4 + 6*u**2 - 4*u**2 - 4*u**3 - 2*u**4 + 2*u**3 to i*u + w*u**2 + m*u**4 + g + n*u**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 6, k: 4}. Give prob of picking 1 k and 1 u.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Let f = 5 - h. Let n = 4.9 + -0.9. Which is the third biggest value? (a) 0.5 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 5 + 42 - 5*f - 98.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5356217 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162709, -325466, -488223, -650980, -813737, -976494?\nAnswer: -1139251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(3\/14) assuming m is positive.\nAnswer: m**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*n + 60, -t + 0*t - 31 = -3*n. Let p be t\/(-1)*(-21)\/(-6). What is the greatest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 67885.1.\nAnswer: 67883.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 - 292448*f**3 + 10681950480*f**2 + 641936321792*f + 1241142502048 = 0.\nAnswer: -58, -2, 73142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, n: 5, j: 4, w: 3, g: 1, x: 3}. What is prob of sequence nnnj?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55337911*r**4 + 113*r**2 - 1018*r - 5 wrt r?\nAnswer: 1328109864*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 7:07 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) - 55\/(-120). Let g = -1.6 - -10.1. Let r = 9 - g. Which is the third biggest value? (a) v (b) 3\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 601*j**4\/4 + 38*j**3\/3 + 686. Find the third derivative of v(c) wrt c.\nAnswer: 3606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, 589, 1677, 3201, 5161, 7557?\nAnswer: 10389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -17200.\nAnswer: 51600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9367)\/(-323) - (-8 - -79).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -89. Solve 8*a = -x*a + 72 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 6539489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 a factor of 28712889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 + 160 = -5*x + 318 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(1872)) + 3 + sqrt(1872) + -1)**2 + (-4*1*sqrt(1053)*4)**2*-4.\nAnswer: -1031468 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + sqrt(243) + sqrt(243) + -3 + sqrt(243) + sqrt(243) + 0 + 1*4*(sqrt(243) + 3))**2.\nAnswer: -47163 - 5616*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46, -34, -18, 2?\n\"Answer: 2*u**2 + 6*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 19*a. Let h be (39\/(-2))\/(15\/(-10)). Let i be g(h). Suppose -7*u + i + 220 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 41. Let n be j(0). Suppose -31 = -4*d + 5*p, 2*d - 6*d - 5*p = -n. What is the remainder when d is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q + 52 = -148 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*d - 7 = -103*d - 5*g, 7*d + 34*g - 17*g - 16*g = 35 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041044530 to the power of 1\/3, to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2054 + 2060. Suppose -15 - 3 = -g. Calculate the remainder when 525\/v + (-9)\/g is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*u**4 - 2422*u + 2422*u + 10 wrt u?\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/369 and 31\/132.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 257*i + 2. Determine t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvvv when four letters picked without replacement from vvvvvuvvvvuvvu.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 3*k - 5*k + (-k - 4 + 4)*(3 - 3 + 2) + 2*k + k - 4*k)*(-3*k**4 + k**4 - k**4) + (5*k - 3*k + k)*(4*k**4 - k**4 - 2*k**4).\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.21, -147, 38629?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-3 - sqrt(11)*4*4 - (sqrt(1100) + -1 + 0 + sqrt(11) + -4))**2*-3.\nAnswer: -50268 + 1170*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -25.2. Let i = -0.05 + y. What is i rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/9, 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2848538806?\nAnswer: 2, 89, 107, 149561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16483136 (base 9) to base 7.\nAnswer: 130142133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68256, 68247, 68236, 68223, 68208, 68191, 68172?\nAnswer: 68151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1652 + 1.165110672. What is g rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w + 5*h - 64 = 0, -54 = 2*w + 3*h. What is the units digit of (-1161)\/w + (-6)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 f when three letters picked without replacement from {m: 2, d: 5, f: 1, g: 3, h: 7}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and -3359157.\nAnswer: 127647966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331 + 963 + 6*v - 328 - 331.\nAnswer: 6*v - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.08 (b) 0.43 (c) -0.4 (d) 48 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2 (c) 0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3227 - -35a79?\nAnswer: 390a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 72 + m**3 + 0*m - m**2 - 12*m + 6*m + 7*m. Does 18 divide y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 25.9999676. What is m rounded to six dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -101.7, 2\/123, 12?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298*132.3.\nAnswer: -39425.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8447, -9341, -10819, -12875, -15503?\n\"Answer: w**3 - 298*w**2 - 7*w - 8143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, 306, 762, 1218, 1674, 2130?\nAnswer: 2586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -88807, -177596, -266397, -355216, -444059, -532932?\n\"Answer: -j**3 - 88782*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*2\/18*-1. Let t = -1 + 1.3. Let s = t + -0.3. Which is the closest to i? (a) 2\/3 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 5*g + 8. Let r be a(-6). Suppose -6*l = -2*l + 5*m + 5, -2*l - m + 5 = 0. Let u(k) = -2*k + 3 - l*k**2 + k**3 + 5*k**r. What is u(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(13) + -5)**2 - (1 + sqrt(208)).\nAnswer: -24*sqrt(13) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = 3*n, -2 = -5*p - 0*p - 3*n. Let b be (p - 1)\/(-6 + (-28)\/(-7)). Solve 5*k - k + 16 = b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 503406 - 331265. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/10*-2*(-5)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 0 + 43*z + 0*z**2 + 17\/10*z**6 + 7\/2*z**4 + 1\/20*z**5 + 1\/3*z**3. What is the third derivative of w(v) wrt v?\nAnswer: 1224*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 12:53 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = l + 5, 4*l - 5*i + 13 = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.06868ml in litres?\nAnswer: 0.05006868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w + 15 + 4 + 3. Let z be 12\/14*315\/45. Let o be m(z). Solve -o*t - 4*y - 5 = 3, -4*y = -t - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, n: 5, c: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-400)\/30)\/(2\/(-3)). Let f = 26 - l. Solve f = -q + 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 194*t + 8927. Let n be h(-120). Suppose 0*b = -4*v - 2*b - 2, 3*v - 5*b = 18. Calculate the highest common factor of v and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*2)\/sqrt(11) - sqrt(27))\/sqrt(900).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -133208.989 to the nearest 100.\nAnswer: -133200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5 - 2*l - 10*l + 15*l**3 + 7*l. Let r(z) = -155*z**3 - 2 - 16*z + 148*z**3 + 18*z. Calculate 2*j(g) + 5*r(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5566 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17 - s + 12 - 30. Let c(i) = 3*i + 3. Determine c(d) + 2*j(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5486840 divided by 599?\nAnswer: -9160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/2)\/((-4592)\/6888).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4, -3*s + c + 20 - 1165 = 0. Let z = s + 202. Let k = 367 + z. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.92151550603 + -10.\nAnswer: -10.92151550603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 16 = -5*n - 0*y, -n + 6 = -y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*p = -374*p + 225*p + 13233 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 4*i + 5. Let r be l(-5). Suppose -3*z + 5*w - 46 = -6*z, 5*z - 3*w - 54 = r. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, 7, -7849, -37 in ascending order.\nAnswer: -7849, -37, -5, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = t - 11, -t + v - 3 = -6. Suppose t*f = -x + 2*x - 16, 0 = -4*x - f - 20. What are the prime factors of -1*60*2\/x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/3168*-4632 - ((-3)\/(-4))\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1431840 to the nearest 1000.\nAnswer: 1432000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.02 * 2331590.\nAnswer: 2378221.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 902 - 902.3. Which is the nearest to 0.1? (a) 0.3 (b) f (c) -1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let l(a) = -5*a. Let n(y) = -21*y. Let j(z) = -9*l(z) + 2*n(z). Let w = 8 - 15. Let q(s) = w*v(s) - 3*j(s). Let h(u) = -u. Give h(q(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -74, 1\/4 in increasing order.\nAnswer: -74, -0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.23 + -138.67. What is d rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 5*p - 2*p)*(14 + 39 + 7 + 66).\nAnswer: -252*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + (-13)\/(91\/(-264)). Is w > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**5\/5 - d**3\/3 - 7. Factor l(k).\nAnswer: k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + k + 0 + 3*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y**2 - 68*y + 26. Give g(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17721 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 16, 1529 in descending order.\nAnswer: 1529, 32, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131047 is divided by 2337?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 10) to base 8\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 732*o - 1516*o = -742*o - 46200. What is the highest common divisor of o and 900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 1\/2*n**5 + 0 - 1\/2*n**2 + 0*n + 3\/2*n**3 - 3\/2*n**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8537 (base 10) to base 7.\nAnswer: 33614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 - 2*j**3 + 2*j**3 + (j**2 + 0*j**2 + 2*j**2)*(2*j - 2 + 2).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30248 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 40 + 15 = -4*m, 4*m - 45 = -h. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8030, 8082, 8126, 8162, 8190, 8210, 8222?\nAnswer: 8226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 1653 + 211. Let y = d - 389. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -232*r - 7. Let q(l) = -4*l - 1. Calculate -6*q(v) + y(v).\nAnswer: -208*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1752778 and 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 3*n - 1. Let y be w(-4). Let m = 33 - y. Solve 0 = -r - r + m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*k - 266*k + 44*k - 278*k - 319*k to the form y + m*k and give m.\nAnswer: -899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1019 * 0.616.\nAnswer: -0.0627704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 40185 + 3640 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.1499 * 1.44\nAnswer: 16.055856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1*1\/2)\/(196318\/(-3812)).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162554 by -2.\nAnswer: -81277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1834 + 20143\/11. Calculate the common denominator of a and -1\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 104 - 76. What is the second derivative of -202*r**2 - 4*r + d*r + 227*r**2 wrt r?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 45 - 886*c + 20 + 11 to s*c + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 253*g**7\/21 + 2789*g**3\/6 + 827*g**2 - 2. Differentiate n(u) wrt u.\nAnswer: 10120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, -1, 5, -16, -3, -129?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 221833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4617, -4640, -4663?\n\"Answer: -23*o - 4594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t. Let z be (-2 - t) + 2 - -2. Suppose -7*g - z*o + 198 = -3*g, 4*g = 5*o + 163. What is the remainder when g is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 834*y**2 + 3. Let m(h) = 6330*h. Give m(a(k)).\nAnswer: 5279220*k**2 + 18990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 20*u + 19. Let b be w(19). Suppose -48 = -3*z - 5*t, b = 5*z - 4*t - 20 - 97. Let p = 12 + -6. What is the remainder when z is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68589544 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4016302 and 8.\nAnswer: 16065208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + 3*p - 2*p)*(-3 + 2 - 1)*(-60 - 17*p + 60) in the form w + u*p**2 + s*p and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.4 - -6.4. What is the closest to -1 in y, 4\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 1. Suppose -j - 3*k + 3 = 0, 5*j + 5*k = 2*k + 39. Let y = j - 15. Let o(p) = p. What is y*o(v) + a(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5 - 10695*z**4 - 74680*z**3 - 127920*z**2 = 0 for z.\nAnswer: -2132, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16729 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 13798.4?\nAnswer: 13798.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + 6*((sqrt(117) + -1 - sqrt(117)) + 2) + (sqrt(117)*2 - sqrt(117))*-6*4)**2 + 3.\nAnswer: -864*sqrt(13) + 67431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (10 - (6 - 1)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 4:39 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 34*w + 1722. What is a(-57)?\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.84 - 3.94. What is the second biggest value in -1, q, 0.4, -1.6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 122, 153, 28, -331, -1002, -2063, -3592, -5667?\n\"Answer: -13*t**3 + 122*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 - 3*s + 12. Let z(f) = f**3 + 3*f**2 - 2*f + 12. Let m(o) = -2*k(o) + 3*z(o). Let a be m(0). Let l = a - 9. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 213?\nAnswer: -11\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 15 - 10. What is the units digit of (-10)\/n*(-146)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28424?\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2. Let s be d(-2). Let y be (-16)\/(-28) - s\/14. Factor 0*g**2 + y*g**3 + 0 - 2\/7*g.\nAnswer: 2*g*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Four letters picked without replacement from zguznguznnnt. Give prob of sequence tgnz.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -24, 40, 104, 168, 232?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 640\/(-1235) + (-708)\/(-2301)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(363)) - 5*sqrt(363)*-5)**2 - (2 + sqrt(363)*4*5 + -3).\nAnswer: 9988*sqrt(3) + 305540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 1. Let i(g) = g**3 + 2*g**2 - 8*g - 5. Let x = 2 + 3. Let y(k) = x*q(k) - i(k). Suppose y(t) = 0. Calculate t.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4) + (-473)\/220 + 4\/10.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrk when three letters picked without replacement from {f: 7, r: 7, k: 4}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -5. Suppose 0 = -6*w + y*w. Put w, -2, 5 in decreasing order.\nAnswer: 5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7 - ((-40)\/30)\/((-98)\/63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjtjtajjtjjjr. What is prob of picking 1 t and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -1065, -2629, -4893, -7869, -11569, -16005, -21189?\nAnswer: -27133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/144)\/((29192\/1107)\/(-89)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(-3*b + 4*b - 3*b) - 4*b + b + 14*b - b - 3*b + 3*b + (3 - 7 + 2)*(0*b - 4*b + 2*b).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 8*w + 168. Suppose w = 8*z + 378. Calculate the least common multiple of 24 and (-14)\/z + 62*2\/6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5357*i**5 - 3491*i?\nAnswer: -107140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*g - 15, 0*g = 4*g - 3*q + 39. Let c be (-5)\/(-1) + g + 14. Let v(u) = u**2 - 6*u + 6. Determine v(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 5*l + 5. What is the second derivative of 8*u**l + 7*u**3 - 7*u**3 - 2*u wrt u?\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 - -72. Let n = v - -190. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.0923401 rounded to 2 decimal places?\nAnswer: -24.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19198*m - 1420364. What is g(-74)?\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40426 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -1 + (57 - (27 + 9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {j: 6, t: 2, n: 10}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03930176 rounded to 5 decimal places?\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3302, -3217, -3062, -2801, -2398?\nAnswer: -1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1022, 5, -4, -16, -5, 2, 22.\nAnswer: -16, -5, -4, 2, 5, 22, 1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 20.13657 centuries?\nAnswer: 201.3657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20588563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 7*t**2 + t + 10. Suppose 0 = -0*p + 5*p + 35. Let n be l(p). Is n\/(-4)*(-11)\/((-55)\/(-1280)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 4*u**3 - 23 + 5*u**3 + 10*u**2 + 35. Let x be y(-9). Calculate the highest common factor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = -2*k - 0, 5*b - 1 = -3*k. Let z be (-1506)\/(-9) - 2\/k. Suppose 4*n = 56 + z. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31225 = 10*i - 54765. Suppose 5*a = 5*o + 8590, 2*a + 2*o + i = 7*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/40 and -11\/768.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-4)\/(40\/(-94)). Let c = -113\/20 + l. What is the nearest to -3 in 5, 3\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**3 - m**2 - 3*m - 4. Let u = 927 + -929. Calculate d(u).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r + 4515. Let w(b) = 4*b**2 + 2*b. Calculate f(w(c)).\nAnswer: -28*c**2 - 14*c + 4515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d - 2 + 288*d**3 - 98*d**3 - 95*d**3 + 51*d - 102*d**3.\nAnswer: -7*d**3 + 78*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.868 - -1. Let f = -0.093 + v. What is f rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 38*c**4\/9 + 4647083*c**3\/3 + 1278666685918*c**2\/9 - 145814091684*c + 37388333160 = 0.\nAnswer: -183438, 1\/2, 10\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 11\/36*u**4 - 1\/315*u**7 + 1\/10*u**5 + 0 + 4\/9*u**3 - 25*u**2 + 0*u + 1\/180*u**6. Let m(d) = 0. What is d?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + -6*(5 + (sqrt(1573) - (0 + sqrt(1573))*4))*6)**2 + -3 + -2.\nAnswer: -432432*sqrt(13) + 18380595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i - 24. Let h be y(4). Let p(d) = d**2 - 11*d + 18. Let u be p(9). Let k be -3 - 0 - u - -5. What is the greatest common factor of h and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a**2 - 7*a + 10. Determine r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2202 (base 3) to base 6\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276911 to the power of 1\/2, to the nearest integer?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233 - 231. Find the first derivative of 74 + 1526*r**2 - 3*r + 3*r - 1572*r**q wrt r.\nAnswer: -92*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-5) - 392\/20. Let l = 47 + z. Let q = l - 19. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-5)\/((-5)\/4)) + 5. Let c = -0.339 - -0.23. Let z = -36.109 - c. What is the second biggest value in z, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(6)\/sqrt(2) + 3*sqrt(3)*1 + -5).\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 - 5*s - 3. Let h be x(-1). Solve h*b - 4*b = -i - 1, 0 = 4*b - 3*i - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 37164, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 44*b**2 - 153*b + 23. Is v(-46) a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s - 8 = 0, 3*n - 6 = 3*s. Solve -c + n = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48836533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501*x - 6594*x + 452333 - 69288 - 26535 = 0 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -124*h**2 - 22171*h - 44329. What is g(-2)?\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 33, 65, 115, 189, 293, 433?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/7 - (-556)\/(-28) - 6\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 80. Let t = 15 + y. Put 8, 3, t in descending order.\nAnswer: 8, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12412378.178 rounded to the nearest one thousand?\nAnswer: -12412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/153, -0.1, 3, -6\/17, 2, -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 6 = 21*o - 22*o, 0 = 5*p + 3*o - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 - 28*b - 10. Determine a(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648.5111 millilitres to litres.\nAnswer: 0.6485111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -27.1. Let v = -487935 + 487937.100006. Let q = n + v. What is q rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(15*a + 0*a + 27*a)*(-a - a + 6*a).\nAnswer: -168*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21354 is divided by 21323?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098539?\nAnswer: 13, 84503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354787431.\nAnswer: 3, 131, 902767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.91 + 2.13. What is c rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 45*q + 7. Let g be r(-12). What is the greatest common divisor of g and 570?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 120?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6345 and 0.3.\nAnswer: -1903.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/73249 or 1?\nAnswer: 23\/73249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -4, 1\/3, 3\/31, -1, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 16 = -5*z, 2*z - 4*z + 13 = 3*a. What is the highest common divisor of a and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -663420, -1326878, -1990336, -2653794?\n\"Answer: -663458*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8690998 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from undnunupuddduduu. Give prob of picking 1 u, 2 d, and 1 p.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 14*s**3 - 4*s**2 + 6*s - 1. Let j(w) = 29*w**3 - 9*w**2 + 13*w - 3. Calculate 9*d(b) - 4*j(b).\nAnswer: 10*b**3 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -205 + 205 + 90*g**4 + (2 - 2*g**3 - 2)*(0*g + g + g) - 4*g**4 + 0*g**4 + 6*g**4.\nAnswer: 88*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 674 + 674.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 94. Let p be 2*(5 - h)*(-10)\/(-4). Let r = p + 95. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21181778*k**2*n**2 + 3*k**2*n + 4365681*k**2 wrt n?\nAnswer: -42363556*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 - 8*o - 1. Let s be v(3). Let u be 502\/20*-2*s\/(-690). Let t = u + -31\/23. What is the common denominator of -21\/4 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 6334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 105.911.\nAnswer: 105.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 + 4*a + 2. Let f be b(-3). Let q be 2\/(2\/f*-2). Which is bigger: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 13 + 1 + -23?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 + 43*t**2 + 1 - 6*t**2 - 12*t**2 - 12*t**2.\nAnswer: 4*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61747680 and 60.\nAnswer: 61747680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 19*b = -16*b - 12, 0 = -5*b + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 226, 3, 26, 5 in ascending order.\nAnswer: 3, 4, 5, 26, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 267 - 273 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1959 + -125373\/64. Let x = -155\/576 + d. Let i = -422\/99 + 40\/9. Which is the biggest value? (a) 3\/2 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 138*k - 565*k - 9867 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 17276017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48393 divided by 57.\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 22*m + 190 = 0, -8841 + 8876 = 5*o - 5*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.53 + 0.02. Let k = 1.47 - w. What is k rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:40 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367*k - 1826*k - 754*k.\nAnswer: -3947*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 423 + -39?\nAnswer: 3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 102020020211220 (base 3) to base 14\nAnswer: b153ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -16. Let p = 23 + r. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -233418669 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Suppose -2*l + q + 4 = 0. Suppose 4*u - l = 6. Solve -5*c = 0, -u*o - c = -7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 248, 196, 128, 38, -80, -232?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342 by -342211.\nAnswer: -342\/342211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6 + 0 + 7*k - 5 - 11*k**2. Let t(l) = -435 + 411 - 6*l**2 + 4*l + 18. Calculate -4*d(i) + 7*t(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*w + 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3))**(-2\/21)*(b**(-2\/3))**(-20) assuming b is positive.\nAnswer: b**(842\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (4\/(4\/(-9)))\/2. Which is the nearest to 0.6? (a) h (b) -3\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3*r + 4*r)*(-3 - 4 + 4)*(-r + r**2 + r) - 4*r**3 - 3*r**3 - r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a + 9*a + 2*a**3)*(-165*a**2 + 3*a - 101*a**2 + 124*a**2).\nAnswer: -284*a**5 + 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126\/11 + -307\/22. What is the closest to -0.1 in -2, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87399 is divided by 575.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7155\/1590)\/(6\/(-16)) - (-56)\/(-1).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**3 - g**2 - 3*g - 3. Let q be ((-51)\/(-34))\/(3\/(-4)). Let c(x) = 3*x**3 + 2*x**2 + 2*x + 3. Let k(l) = q*j(l) - 3*c(l). What is k(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262 + -262.1. Let z = 6167\/15 + -411. Which is greater: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b - 1. Let z be h(-3). Let l(a) = 2*a**3 - 21*a**2 + 16*a - 4. Let p be l(10). Let t = p + z. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 7*x**2 + x. Let d be p(-8). Suppose -66 = -2*u + d. What is the remainder when 243 is divided by u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -92\/231 (b) 0.1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78717 is divided by 2127?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54, 55, 56, 57?\n\"Answer: q + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 3:14 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(11\/3)\/t)**(10\/13) assuming t is positive.\nAnswer: t**(80\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41316)\/72616 - (3\/(-15))\/((-4)\/(-10)). Which is the third biggest value? (a) f (b) 0 (c) -0.07 (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31619729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.8994 and -0.1.\nAnswer: -0.9994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/1858839 and 47\/369.\nAnswer: 228637197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/5643 and 77\/33687.\nAnswer: 1111671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/169*362 - ((-120)\/(-65))\/12.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 36*r - 292. Let q(x) = -3*x. Determine q(a(f)).\nAnswer: -108*f + 876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 + 3*c + 10. Let k(u) = 3*u**3 - u**2 + 2*u + 7. Let l(n) = 5*k(n) - 4*m(n). Suppose -3*o = -5*i - 10, 5*i = 2*i - 5*o - 40. Give l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**3*p**2 + 8*k**3 + 956*k**2*p**2 - 184*k**2*p - k*p**2 + 824*k*p - 45*p**2 wrt p?\nAnswer: -6*k**3 + 1912*k**2 - 2*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 29. Let y(z) = 4*z**2 + 4 - j*z**2 - 6 - 3*z + 0*z**2. Determine y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {t: 1, a: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -4 (c) -53 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16702 - 16703. Sort 3, 11, g, 58 in ascending order.\nAnswer: g, 3, 11, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x + 24*x - 7300 = -78*x + 29*x for x.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*d - 5*p, 0 = 2*d - p - 3 - 8. Let h be 0\/(-6 - (1 - d)). Suppose -2*y + 4*y + 412 = 4*f, 3*y = h. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-17176.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -23, 2, -8, 577, 4.\nAnswer: -23, -8, -2, 1, 2, 4, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2980674.\nAnswer: 2, 3, 43, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -336 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30)*(-25)\/(-20).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5405 divided by -23?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/6*166896\/(-5795)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (sqrt(162)*2)**2*-6).\nAnswer: 11670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 7*c - 1. Let d(p) = 12*p**2 - 1507*p - 198152. Let u(t) = -d(t) + 5*z(t). Factor u(a).\nAnswer: 3*(a + 257)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 990879, 1981765, 2972653, 3963543, 4954435?\nAnswer: 5945329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 71.999999784. Round d to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 4*z - 4*z + (6*z + 3*z - 7*z)*(0 + 6 - 5).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 1. Let u be -4 + 4 - -3 - 6. Give d(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2409, 9356, 20915, 37074, 57821, 83144, 113031, 147470?\n\"Answer: -2*k**3 + 2318*k**2 + 7*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*v = 385591 - 112144. Which is bigger: 3965 or v?\nAnswer: 3965","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**4\/4 + 189*s**3 + 7077*s**2\/4 - 3915*s\/2 = 0.\nAnswer: -10, 0, 1, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/16)\/(42\/(-224))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - z = -4*z - 1714, -3*o - z - 1288 = 0. Let g = -208 - o. Let i = g + -75. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1\/2, -6, 2, -0.1, -4\/779?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 234\/5 (b) -22 (c) -339 (d) -2 (e) -0.1 (f) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1912.89806 - -2.\nAnswer: -1910.89806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 2. Let b(s) = -2*s**2. Let z(k) = b(k) - 3*o(k). Let f(w) = -w**2 + 11. Determine -2*f(a) - 5*z(a).\nAnswer: -3*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*v - 86*v - 44*v)*(3114 - 3114 - 67*v - 208*v).\nAnswer: 26125*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12157.81775 rounded to the nearest 10?\nAnswer: 12160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4 and (-6)\/18 + 223\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10220, 20491, 30736, 40943, 51100, 61195, 71216, 81151?\n\"Answer: -2*d**3 - d**2 + 10288*d - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28798 - -28798.0000051638. Round a to 7 decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000895 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04574994686 to 6 decimal places.\nAnswer: -0.04575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - sqrt(176)*1 - (sqrt(99) + 1))**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 39 = -41. Suppose -23 - c = -3*h. Solve -4*b + 2*z + z - h = 0, 5*b - 3*z + 14 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21202221 (base 3) to base 7\nAnswer: -22345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -125, -193, -209, -173, -85, 55, 247?\n\"Answer: 26*l**2 - 146*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - y + (5 + 0 - 4)*(1 - y - 1) + (6*y - 3*y + 2*y)*(-1 + 1 - 4) to q*y + o and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 164751254 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 328511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -997 + 997.1. Does y = -6.85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + x - 16 + 17 + 6*x**3 - 2*x**4 - 2*x**2 to h*x + c*x**2 + b*x**3 + w*x**4 + d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171 - 154 - (0 - -25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**3\/3 - 2*r**2 - 4*r - 1. Let a be x(6). Calculate the greatest common divisor of 56 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 160 = 9*q - 413, -3*a + 4*q + 136 = 0. Calculate the remainder when 97 is divided by a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -160517513 - 0?\nAnswer: -160517513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 - 7*r**2 - r**2 + r**2 + 2*r**2. Let y(n) = 712*n**2. Give y(g(m)).\nAnswer: 712*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 8:04 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y + 2. Let z be d(2). What is the units digit of (-3)\/((-6)\/(-4))*z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*m**5 + 70*m**4 + 64*m**3 = 0. What is m?\nAnswer: -32\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 + -563\/5. Suppose -60 = 3*v - 9. Which is the second smallest value? (a) -1 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244 divided by -4\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/2432 and -19\/207072.\nAnswer: 15737472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 165?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 11. Suppose -44*t = -40*t - 1420. Suppose -2*w = 4, 3*i + b*w = -2*w + t. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k - 3*k + 23*k**5 - 123 + 123 - 4*k**2 wrt k?\nAnswer: 1380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**2 + 7*m - 33. Suppose 7*l + 32 = 11*l. Let d(z) = -l + 12 - 5. What is -5*d(i) - w(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/5)*p)\/p)\/p*p*p**(-2\/5)*p*(p*p\/((p**11*p)\/p))\/(p**(-13)\/p) assuming p is positive.\nAnswer: p**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-17 + 8))*1\/4. Which is the third smallest value? (a) 4\/5 (b) 2\/5 (c) 0.2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11870, 23739, 35608, 47477, 59346, 71215?\n\"Answer: 11869*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 30 (c) 1113 (d) -1\/3 (e) 1\/4 (f) -4 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5037993 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3ad - 2c04?\nAnswer: -31b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 12. Let a be c(9). Suppose 6*m - a = m, 0 = 2*n + 4*m - 22. Sort -7, n, -2 in decreasing order.\nAnswer: n, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let d(j) = 5*j - 4. Let p(q) = 14*q - 11. Let u(x) = -11*d(x) + 4*p(x). What is u(v(l))?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2. Let h(r) = -3*r**2 + 3*r**2 - 5*r**2 + 14*r**2. Determine k(h(f)).\nAnswer: 162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*a**4 - 104*a + 1 wrt a?\nAnswer: -672*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from zqfqzrqqq.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*m**5 - 10*m + 34*m**5 + 2*m wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 90*h**3 - 3*h**2 + h + 2. Let c be r(1). Suppose -4*w = 70 - c. Is 1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-105)\/9 + (-6)\/(-9). Let w be h + 8 - -1*5. Solve 2*b + w*o = -6, b + 3*o - 3 + 10 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -29*i**5\/5 + 14*i**3 - 16. What is the third derivative of d(t) wrt t?\nAnswer: -696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(171) + 1 + sqrt(171))*-6 + 3 + -2)**2.\nAnswer: 360*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -22. Suppose 3*s = 11 + j. What is the remainder when 42 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9866442 to the nearest integer?\nAnswer: 3141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2 + 7*o**2 + 4*o - o - 8 - 4*o. What is the tens digit of x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 4*x + 24, -24*x + 7 = -3*b - 25*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -19. Let c = d + 14. What is the remainder when 32 is divided by c*(-8 - (-3 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 8*b**2 + 7*b + 19. Suppose -588*j = -612*j + 216. What is f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m + 1. Let l(u) = -156*u + 782. Let w be l(5). Let x(j) = j. Calculate w*b(c) + 14*x(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -88*p + 25. Suppose -3*g = g + 16. Is s(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1506 - 1506. Let x = -5 + 7. Suppose r + x = 6. Solve n + r*n = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/348 and 43\/168?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.4, 0.1, 2\/19, 536, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 2*x + 1. Suppose 104 = -17*h + 4*h. Let i(l) be the third derivative of -l**4\/24 - 7*l**3\/6 + 2*l**2. Let v be i(h). Determine u(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -7. Let z = -5.02 - t. Let u = z + 0.0199912. Round u to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11819, 11818, 11817, 11816, 11815, 11814?\nAnswer: 11813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62753745.\nAnswer: 3, 5, 4183583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13)*(((n*n**(-1)*n)\/n)\/n*n)\/n)**(-5\/11)*(((n**(-3\/4)*n)\/n)\/((n*n*n**(-2)*n)\/n))\/((n\/n**(1\/3))\/n**(-1\/3)) assuming n is positive.\nAnswer: n**(203\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 12, o: 2}. Give prob of sequence ozzl.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -575*g - 12669. What is a(-22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455608346.\nAnswer: 2, 103, 503, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, b: 5}. Give prob of picking 1 a and 2 b.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 10*i**2 + 22*i**2 + 5*i + 4*i**2 - 10*i + 7.\nAnswer: 36*i**2 - 5*i + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(3 + -4) + (-1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 324 = -h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 77?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from qffqfffffff?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -133, 32 in ascending order.\nAnswer: -133, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*56\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**6\/33 + 4*b**5\/55 - 4*b**4\/11 - 32*b**3\/33 + 16*b**2\/11 + 64*b\/11 + 82. Suppose f(q) = 0. What is q?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11425400, -22850793, -34276186, -45701579?\nAnswer: -57126972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h + 63 - 63. Let s(w) = 13*w + 7. Let c(d) = -4*d - 2. Let f(u) = 7*c(u) + 2*s(u). Determine a(f(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + -33)\/(-18*1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/60 + 7*x**4\/8 - 29*x**3\/6 + 7*x**2 + 5. Let g be n(-22). Let d(b) = -b**2 - 6*b + 1. Let m be d(-6). Sort g, 4, m, -5.\nAnswer: g, -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 0.1 (c) -4 (d) -57 (e) -0.2 (f) -5\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44230412 (base 5) in base 11?\nAnswer: -241a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 385 = -395. Let y(z) = 2*z - 17. Let p(s) = -s**2 + s. Determine j*p(t) - y(t).\nAnswer: -2*t**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 times -12?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:01 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -17. Suppose -g = -f - f. Suppose 29*a - 51 = 28*a - 5*d, -5*a + 110 = -4*d. Calculate the remainder when a is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9941*l**2 - 36403 with respect to l.\nAnswer: 19882*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169.9 - 169.7. Let m(d) = -d - 4. Let o be m(-5). What is the closest to u in -0.5, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*w - 3*w + 57 = 0, -2*b = 3*w + 97. Let y = b - -72. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/29 (b) -2 (c) -2\/5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -4.9. Let j = -1877 + 1870. Let o = k - j. Which is bigger: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-3 + 7) - 2. Solve 0*u - 3*u = 6, 3*u - c = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.91577 to 2 dps.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let y = 3 + -2.75. Let n = -0.05 - y. Which is the nearest to -0.1? (a) 1 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 1:03 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**7\/7 + 266*u**5\/5 - 8*u**3\/3 - 67*u + 1604. Find the third derivative of b(d) wrt d.\nAnswer: 120*d**3 + 6384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 11*m - 2. Let l be 4 + (-3 - -3 - m). Factor 20*k**2 - l*k**3 - 10*k**2 - 13*k**2.\nAnswer: -3*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -1 + -2)**2 + sqrt(567) + 5 + ((sqrt(567) + 0 + sqrt(567) + sqrt(567))**2 - sqrt(567)).\nAnswer: -54*sqrt(7) + 5684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -70, -135, -198, -259, -318, -375?\n\"Answer: b**2 - 68*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 9*c + 168. Let n = 38 - 38. What is the tens digit of o(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.9 - -46. Sort -4, -2, -1, q in increasing order.\nAnswer: -4, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 959191 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/5 - 1. Let b(c) be the first derivative of 0*c**3 + t*c**5 - 3*c + 0*c**2 + 0*c**4 - 3. What is the derivative of b(w) wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-2\/25))\/t)\/t)\/t**(-1\/3))\/((t**(-17)\/t)\/t*t**16) assuming t is positive.\nAnswer: t**(181\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*l**2 + 228*l**2 + 25*l**2.\nAnswer: 147*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6955 is divided by 249.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -x + 9, 0 = -2*x + 5*x - 2*h + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5*p - 4 + 28*p + 21*p.\nAnswer: 44*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*d - 1 - 7, -4*d + 44 = 4*u. Suppose 16 = -8*o + d*o. Suppose o = 3*l + 16. Solve l*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5))**(-3\/14)\/(w\/(w\/(w*w**(1\/4)))*w*w**(-2\/17)) assuming w is positive.\nAnswer: w**(-4871\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51\/19 + -338\/133. Find d, given that 0 + 4\/7*d - 3\/7*d**3 + 0*d**2 + s*d**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**3 + 6*o**2 - 17*o. Let h(d) be the second derivative of -9*d**5\/20 + 11*d**4\/12 - 17*d**3\/3 + 1128*d + 1. Determine -11*a(b) + 6*h(b).\nAnswer: b**3 - 17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 + 4. Let x be o(0). Find p, given that 2*p**2 + p**3 - 6*p**5 - 26*p**2 + 3*p**3 - 16*p + 14*p**x + 8*p**3 = 0.\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -127, -91, -21, 95, 269, 513, 839?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47633894*r**3 + 2732*r**2 + 6486*r?\nAnswer: 285803364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 1\/4*o**4 - 1 + 1\/2*o**2 - 1\/3*o**3 + o. Let v(i) = -8*i**3 + 7*i**2 - 7*i - 7. Give -21*t(k) - 3*v(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 9258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -139, -216, -295, -376?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x + 11. Let m be o(-9). Let f = -65 - m. Let v = f - 42. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*40\/112)\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 128218614?\nAnswer: 1282186140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117225 is divided by 88?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5719872*c**3\/7 + 138384*c**2 - 7812*c + 147.\nAnswer: -3*(124*c - 7)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479, 1135, 2929, 6431, 12211, 20839, 32885?\nAnswer: 48919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -69*q**2. Let o(y) be the second derivative of 17*y**4\/12 + 480*y. Determine o(n(z)).\nAnswer: 80937*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 - 1542*f + 1542*f + 2*f**2.\nAnswer: 2*f**2 + 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 3. Let b = f + 1. Suppose -2*u - 5*q - 13 = 0, 0*u - 50 = -5*u + b*q. Solve -25 = k - u*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*f + 60 = 5*f, -34 = 3*u + 4*f. Put u, -4, 4, -5 in decreasing order.\nAnswer: 4, -4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/6)\/(2\/(-36)). Let v = 18 - 3. Let k = v + g. Solve -2*t + 0 = 3*o - 1, k*t = -3*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.8? (a) -1 (b) 5 (c) 1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 370*c**3*f**3 - 2*c**3*f - 430*c**3 + 3*c**2*f**3 + 99*c*f**3 - 16*c + f**3 - f**2 + 2 wrt c?\nAnswer: 2220*f**3 - 12*f - 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78163 - -9937. Round f to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 47*g**3 + 254*g**2 - 10*g + 63. Let o(f) = -9*f**3 - 50*f**2 + 2*f - 12. Calculate -11*o(z) - 2*y(z).\nAnswer: 5*z**3 + 42*z**2 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 7. Let i be v(6). Suppose 20 = -j - 5*k, i = -j + 5*k + 41. Solve -a - j = 2*d - 20, -5*a + 4*d + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**10)**(-1\/11)*(k**(-13)*k)\/(k\/(k**(3\/2)*k)))**(-41) assuming k is positive.\nAnswer: k**(10291\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135659 * -0.1.\nAnswer: -13565.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 8:46 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 202 = -137. Sort o, -13, 4, -3, 3.\nAnswer: -13, o, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 98*x + 3. Suppose 18 = -0*w - w + 5*d, -2*d + 12 = 2*w. Let g be b(w). Suppose 3*o - 131 = g. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4*-3)\/((-7)\/(21\/6)). Solve -14 = 4*v + m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 148*i + 2349. Let d be l(55). Solve 5*g - 40 = 5*y, d = 3*y + 4*g + 248 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -149*f**2 + 5151*f + 7711. Calculate j(36).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14425*b - 10994*b - 31841*b + 448*b + 2 - 1)*(-5 - 1 + 5).\nAnswer: 56812*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1309, 1358, 1153, 694, -19, -986?\n\"Answer: -127*u**2 + 430*u + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10031 - 21*a + 10031.\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.79 and 0.2?\nAnswer: -0.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 1 - (-266)\/(-98). Suppose 3*u + 20 = 8*u. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/7*(-66)\/297*-27*5\/70?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzr when three letters picked without replacement from xiyqrzz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1043061 (base 8) to base 16\nAnswer: 44631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2482 - -2483. What is the least common multiple of v and 1379?\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u**3 + u**2 + 11*u + 18. Let n(l) = -7*l**3 + l**2 + 4*l + 8. Let c(p) = -7*n(p) + 3*t(p). Determine c(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17))**2 + 4 - -3*sqrt(153).\nAnswer: 9*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 58 + 75 + (-16 - -3).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110020000 (base 3) to base 8\nAnswer: -21316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - r - 11 = 0, 5*r + 11 = 31. Solve 3 = d*v - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1715, -2712, -3709, -4706?\n\"Answer: -997*u - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203802 kilometers in millimeters?\nAnswer: 203802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/2 + 7132287*l**2\/4 - 3566143*l\/4 = 0. Calculate l.\nAnswer: 0, 1\/2, 3566143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((180\/16)\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/3 + 1470204*o + 4410611\/3 = 0. Calculate o.\nAnswer: -4410611, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -f + 194, 2*r - 2*f - 35 = 45. Suppose 5*c + 75 = 5*k, -c + r = 2*k - 0*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/4070656 and -47\/40.\nAnswer: 20353280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.4269l in millilitres?\nAnswer: 440426.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -26. Let k = n + -8. Suppose 10 = -k*p, 2*q - 19 = -0*q - p. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4200 + -12?\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 12 + -1*1. Let u be x\/(-10) + (-12)\/(-5). Solve -h = u*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -12 (b) -7 (c) 1\/5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -5 in decreasing order.\nAnswer: 9, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 49*f**2 - 66*f + 793. Determine i(50).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.373 + -0.027. What is s rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 1\/18*u**4 + 0*u**3 - 7\/180*u**6 + 0 + 1\/18*u**5 + 0*u + 6*u**2. Factor n(w).\nAnswer: -2*w*(w - 1)*(7*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*g + 80, -4*h = h + 30. What is the remainder when 690 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -7*c + 8. Let o be (-5 + c - -3)\/2. Suppose o = -b - 4*b + 100. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 16.4765.\nAnswer: 65.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 o, and 1 q when four letters picked without replacement from oqouq?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55.66 + -55. Let q = 0.04 + h. Let j = -169.6 - -170. What is the nearest to q in 5, j, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(7) + -2)**2 - sqrt(56)\/(sqrt(8) + -3*sqrt(8)).\nAnswer: 11 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*k = 45, 5*r = 8*r - 3*k - 39. Suppose 3*d = 4*d - 788. Suppose 16*a - r*a - d = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -33. Let u = 336 - 337. Let v(o) be the first derivative of -3*o**2\/2 + 2. Let f(c) = -c - 1. Determine i*v(w) + u*f(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -377 (base 8) to base 4\nAnswer: -3333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or -2\/311?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39479 - -27440. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**5*z + 7*j**4*z + 3*j**3*z + 251*j*z wrt j.\nAnswer: 80*j**3*z + 84*j**2*z + 18*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1807776 millilitres in litres?\nAnswer: 0.0001807776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 57 = -3*k, 2*d - 15 = -3*k + 39. Let i = -3757 + 3795. What is the lowest common multiple of i and k?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 139*b - 469. What is p(5)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 5\/2, 95, -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**5*(l*(l*(l\/(l*l\/(l\/(l*(l\/l**(1\/2))\/l))*l))\/l)\/l)\/l*(l*l**(-4)*l)\/l*l**3*l)**(-15))**25 assuming l is positive.\nAnswer: l**(-3375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*h + 96*d - 97*d, -4*d + 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - 20\/(-8). Let p be (0 - 2)\/((-2)\/s). Suppose -a + 3*u - 2 = -5, p*a + u = -1. What is the closest to -1 in 0.5, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.25 and 92307?\nAnswer: 92307.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d = 23. Let u be (11\/(-8))\/(d\/230). Let l = -9\/2 + u. Calculate the common denominator of 12\/11 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117035 and 950745.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 3*j**6\/40 - j**5\/15 + j**4\/8 + j**3\/6 + 20*j**2. What are the prime factors of c(2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 17314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8876, 35850, 80814, 143774, 224736?\n\"Answer: q**3 + 8989*q**2 - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57072, 57179, 57286, 57393, 57500?\nAnswer: 57607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300352326*k**3 - 195499851*k + 1 wrt k.\nAnswer: -1802113956*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -26. Let f = 2 + 1. Suppose 0 = -4*o - f*g - 4 + 5, -o + 2*g = -14. What is the lowest common multiple of k and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3934088 and 5640?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/d**(2\/21))**(-39) assuming d is positive.\nAnswer: d**(-2431\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -13, -5, 2\/15, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 757 + -758. Which is the smallest value? (a) h (b) -5 (c) 1 (d) 0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.44806627 and 4.\nAnswer: 3.55193373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.824 plus 0.8652?\nAnswer: 1.6892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/5 smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 520, -1835, 2.\nAnswer: -1835, 2, 11, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73794*r = -73763*r + 155 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893829 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52177.4065 rounded to the nearest 1000?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180) - sqrt(180))*1*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 584811 and 17919.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 408451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2364, 3017, 3678, 4347, 5024?\n\"Answer: 4*v**2 + 641*v + 1719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 10075.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.7. Let d = -971 - -962. What is the third smallest value in d, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 1:11 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*b + 28*b - 240 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fctmetttefteceet. What is prob of picking 1 c and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 1, a: 3, s: 4, p: 2}. What is prob of sequence kps?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659440882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.13 (b) 4 (c) 0 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126.926 - -133. What is m rounded to one decimal place?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1007356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*h - 285*h = -39 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 266338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4307790608?\nAnswer: 2, 11, 24476083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62128.564 minus -0.3?\nAnswer: 62128.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r**2. Let f(o) = -371*o. What is q(f(z))?\nAnswer: -1651692*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384884 by -2.\nAnswer: 192442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36 - 61765\/2453 - 11\/1. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.585*-0.82326.\nAnswer: 0.4816071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-1 + 9 - 2)*(0*k - 5*k + 3*k).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 - 149*k - 467. Calculate s(-46).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 124*t**2 - 846*t - 90118. What is v(-125)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 507 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13.2. Is i less than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61ba90 (base 13) to base 8\nAnswer: 10551465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130 + 65059170332.\nAnswer: 65059170202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13138184?\nAnswer: 2, 1642273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + (7 - (-15 + 1) - 4).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2057.00415 to the nearest integer.\nAnswer: -2057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57031961 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4701 - 21533?\nAnswer: -15732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 181824*w + 239540336.\nAnswer: 4*(w - 44098)*(w - 1358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2504 by 34231.\nAnswer: 2504\/34231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*j - 128 = -46, 33 = 2*g + j. Let d(s) = s**2 + 12*s**2 - g*s**2. Let o(p) = p**2. Determine o(d(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = 77*w - 67. What is the fourth smallest value in w, -0.7, 0.2, 2, 3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l**2 - 1 + l**2 - l + 3 + 4*l**3. Let d be 416\/195 + 1 + 68\/(-60). Does 18 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**9\/756 - f**8\/84 + 4*f**7\/105 - 2*f**6\/45 + 85*f**3\/6 + 59*f. Let s(u) be the second derivative of o(u). Factor s(x).\nAnswer: 4*x**2*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2560*h + 2034. Let o(x) = -851*x - 679. Let u(r) = 3*c(r) + 8*o(r). What is the derivative of u(z) wrt z?\nAnswer: 872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**4 - 4*q**2 - 3. Let w(o) = 3*o**4 - 3*o**2 - 4. Let t(l) = 4*r(l) - 3*w(l). What is the third derivative of t(k) wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 7*k = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431 = 109*k - 1194 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l - 950 = -28*l - 14. Let i(m) = -26*m. Let a be i(-2). What is the highest common divisor of l and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-6))\/(((-3)\/(-3))\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0850504m in kilometers?\nAnswer: 0.0000850504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffc when three letters picked without replacement from fvvcfffcfffffff.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21*u + 2. Let m be l(3). Suppose m = 3*y + 8. Suppose -3*o - y = 2. Is -6 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 2)*(v + v + 0*v) + (2 - 1 - 3)*(-2*v + 0 + 0).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.4, -13, 2\/7 in decreasing order.\nAnswer: 11, 0.4, 2\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -942*j**2 + 43*j**3 - 953*j**2 + 1883*j**2 to the form c*j**3 + r*j**2 + w*j + h and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 3*z**2. Let h be u(-2). Suppose 0*o = -h*o + 68. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 913487, -14, 3 in descending order.\nAnswer: 913487, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/133416 and 149\/6403968.\nAnswer: 6403968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9457, 76018, 256795, 608932, 1189573, 2055862, 3264943?\n\"Answer: 9524*w**3 - 36*w**2 + w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -1\/4, 5, 1940?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716917375*z**5\/4 + 1791091900*z**4 + 2855656810*z**3 - 19197752*z**2 + 42940*z - 32 = 0. Calculate z.\nAnswer: -8, -2, 2\/895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -571\/35482 - -6\/157. Find the common denominator of k and -81\/2.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 5*g**2 + g + 5. Let u be y(-5). Suppose -2*f - 4*v + 34 = u, -5*f = 4*v - 56 + 1. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*g + 2*g. Let -2*j + j + g*j**2 + j = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 114825686 + -13?\nAnswer: 114825673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**5 + 23460*q**3*z - 4*q**2*z - 4*q*z + 8*z + 3 wrt q.\nAnswer: -180*q**2 + 140760*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/13 and -29\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(224)\/sqrt(7)))\/(sqrt(14)\/((sqrt(56) + -3*sqrt(56))\/sqrt(8) - sqrt(7))).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4886292 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 2, i: 4, a: 2, y: 3, x: 2}. Give prob of sequence yxiy.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130, 259, 388, 517?\n\"Answer: 129*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -294, -979, -2046, -3489, -5302?\n\"Answer: w**3 - 197*w**2 - 101*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + (-5 - (-110)\/3). Solve 4*r + 11 = s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let l(r) = -12*r - 5. Let t(j) = -6*j - 2. Let c(m) = f*l(m) - 7*t(m). Determine c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -12*u + 66. Suppose -4*j + 3 = 2*f + 17, f = 3*j - 32. Is l(f) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1913, -1933, -1967, -2021, -2101?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -691, 2.2, -1\/5, 3\/2, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 6*s - 6. Let z be u(9). Is z\/((-210)\/(-4)) - (-68243)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o. Let c be f(2). Let g be (-3)\/(0 - (-3)\/(-100)). What is the greatest common divisor of g and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1150 - 546. Let y = 751 - l. What is the remainder when y is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -725 - -953. Calculate the greatest common factor of 95 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -244537, -244549, -244583, -244651, -244765, -244937, -245179, -245503?\n\"Answer: -2*a**3 + a**2 - a - 244535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c + 50*c = -126 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 627512942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 27*o**2 - 50*o + 11. Let p be u(-25). Solve -p - 4 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 19*z - 1. Let o be r(18). Suppose o*u - 20*u = -339. Suppose -u = 5*g - 6*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46799 and 1855?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -11. Let h(g) = 9*g + 3. Let u(n) = 15*n + 3 + 16*n - 44*n + 24*n. Let i(m) = 5*h(m) - 4*u(m). Determine i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 10790175?\nAnswer: 75531225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6)*1*2)\/((5*2*sqrt(72) - sqrt(72)) + sqrt(72)).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 2, -12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 0*j**2 + 3*j**2 - 15*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s + 6*s + 14*s - 25*s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 676626652 a multiple of 5956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*g + 190 = -29*g + 966 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 96, 222, 346, 438?\n\"Answer: -5*s**3 + 44*s**2 + s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddduddduddddddduu.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*v - 17*v - 12 - 42 + 40*v + 3*v**2 - 6*v.\nAnswer: 3*(v - 3)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -255 + 486. Let v = 218.9 - i. What is v rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 + -4 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 26*i**2 + 27*i**2 + i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11\/5, -1\/31, 0.4, -1\/10, 0, -14?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -32. Suppose -2*h - 3 = -15. Suppose 0 = 9*q - h*q. Solve 4*y = 5*l - 33, 2*l = -m*y - q*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 1, w: 7, s: 7, b: 1}. What is prob of picking 1 w, 1 s, and 1 h?\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 2, j: 11}. Give prob of picking 2 j.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3) + -2 + 2 + 7 - (1135 + -1143)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26808 - ((-374)\/17 - -7).\nAnswer: 3, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-1)\/a)*a*a**(-3\/7)\/a*a)**(-19\/2))**(-17\/5) assuming a is positive.\nAnswer: a**(2907\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:50 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 0 + 3*p**2 - 142*p**3 + 143*p**3 - 2 - p.\nAnswer: (p - 1)*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820879072 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: Simplify ((1*(sqrt(128)*3*4 - sqrt(128)))**2 + (-2 + (sqrt(128) - (sqrt(128) - (sqrt(128) - 2*sqrt(128))*2 - sqrt(128) - sqrt(128))))**2)*2.\nAnswer: 30984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-42) + 3\/9. Solve h + 3*h + 4*o = c, -5*o + 18 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 54.0000086. Round v to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1508)\/(-858)*(-27)\/36*-22\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x + 1. Let y = -50 + 46. Let h(m) = -6*m**2 + m + 4. Calculate y*p(f) + h(f).\nAnswer: -2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 3. Let h(w) = w**2 - 8*w - 16. Let i(s) = h(s) - 5*p(s). What is i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2688)\/(-126))\/(44\/(-66)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 7:29 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -291 + 295. Let c(f) be the third derivative of -f**4\/24 - 2*f**2. Let r be c(-1). What is the highest common divisor of r and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*l + 173, c + l = 6*c - 325. Let m = -15 + c. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, -1, 1703?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 5, h: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22992 and 68784.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 59.88. Which is the closest to 2? (a) 0.2 (b) -4 (c) v (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.4, -1, 3, 1243\/6.\nAnswer: -4.4, -1, 3, 1243\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 + -111. What is the least common multiple of 10 and s?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 2*l - 1. Let r = 75 + 19. Suppose -i = -98 + r. Let c(o) = 3*o + 1. Determine i*x(t) + 3*c(t).\nAnswer: -4*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(304) + 3 + -3)**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 885 divide 24639285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 7:25 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (288\/(-9) + 4)*(351\/(-36) + 9)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -1 (c) 0.5 (d) -7 (e) -14 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4830 and 1223370?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53*b**2 - 133*b + 133*b - 110 - 61 wrt b?\nAnswer: -106*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (45 - 51 - (-1 + 5))) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/4 + 343*l**2\/4 = 0. Calculate l.\nAnswer: -343, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -19, -68, -167, -334, -587, -944?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24187 - -24189. Let w(d) be the third derivative of -28*d**h + 0*d + 0*d**3 - 1\/8*d**4 + 0. What is w(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfvfvtffffft. Give prob of picking 2 t and 1 v.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4874401 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 - 4*h + 1. Let f be x(2). Let c = -26 - f. Let g = 167 - 122. Calculate the highest common divisor of c and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -15. Let v = -57 - -167\/3. Put v, -0.2, n in increasing order.\nAnswer: v, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 16*j**2 + 157*j + 784. Give m(-7).\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -96.86 times 1732\nAnswer: -167761.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 517 and 846?\nAnswer: 9306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(21\/4)\/(r*r**(-18)*r) assuming r is positive.\nAnswer: r**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-2\/3))**(-4\/5)\/((t*t*t**(-1)*t*t)\/(t*(t\/t**4)\/t*t*t))*((t*t**(3\/2)\/t*t*t)\/t*t*t**(-3))**(2\/161) assuming t is positive.\nAnswer: t**(-12221\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 25*o - 160. Let x(s) = 25*s - 159. Let k(q) = -3*w(q) + 4*x(q). Does 44 divide k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.4. Let w = 0 + d. Let y = 0.1 + w. Is 2 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37512484.2677 + 0.1\nAnswer: -37512484.1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00299033331 rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1245724*k**2 + 976*k - 1948. Let d be z(2). Round d to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7 - 1.8. What is the third biggest value in 2\/13, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11*x**3 - 3*x**2 + 17*x + 60. Give p(-5).\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21194 = 275*o + 960*o - 7211 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, -3, 243 in descending order.\nAnswer: 243, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453384163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = 5*w + o, 2*w + w = -4*o + 345. Calculate the remainder when w is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(((-2)\/280*14)\/(20\/(-4)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338436 is divided by 42291?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**4 - c**4 - 22*c**3 - 2 + 23*c**3 + (3*c - 3*c - c)*(-4*c**3 + 0*c**3 + 2*c**3).\nAnswer: 5*c**4 + c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**4\/4 + r**3 - 3*r**2\/2 + 3*r - 1. Suppose 2*u - 6 = -5*n, u + 3 = -4*n + 9. Does 9 divide b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1063 < 8.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**2. Let s(h) be the first derivative of h**3\/3 - 2. Give x(s(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 4 - (-2)\/(-1). Suppose 5*c = -5*i - 15, 7*i + 17 = -3*c + 2*i. Let n = c + l. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*t - 138*t + 40*t - 1008 + 34*t + 36*t in the form i + d*t and give i.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.46 - 0.6. Let m = 68 - 68.14. Let t = k - m. Which is the closest to -1\/3? (a) t (b) 4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*5.9\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3, -16*g + 19*g - 2*y - 3 = 0. What is the closest to 1 in 1\/8, -16, g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-152)\/20)\/((-2)\/10). Let m be (2\/(-3))\/(2\/(-108)). Suppose f = 2*n - m. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*c + 168 = 0, m + 2*c - 21 - 32 = 0. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from jqjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 11.9.\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 + -2 + (-25 - -27))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f**2 - 8*f - 9. Let x(g) = -9*g + 11*g + 0 + 2 - 5*g**2 + 7*g**2. Let i(k) = 2*s(k) + 9*x(k). Find d such that i(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**4 - 1100 - 678*u**2 + 377367*u**3 + 2*u**4 - 1990*u - 188419*u**3 - 188734*u**3.\nAnswer: 2*(u - 5)*(u + 1)**2*(u + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15)*(-215)\/(-43))\/(4\/258)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**3*y**4 - 335*i**3*y + 152*i**2*y**4 + 7*i*y wrt y?\nAnswer: 60*i**3*y**2 + 1824*i**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + n - 1. Let m be g(1). Let a(u) = -u**2 - 7*u. Let c = 19 - 26. Let j be a(c). Solve 2*b = m*v + 2 - j, 5*v = -b - 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -33*h**2\/2 + 2*h - 1. Let o be m(-9). Let u = -150 + o. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*x = -121, 3*t - 77 = x + 10. Suppose 2*q - 2*v + t = 0, -q + 0*q - 23 = 2*v. Let z be (105\/63)\/(15\/36). Put q, -1, z in decreasing order.\nAnswer: z, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17\/327 + 12569\/654. Calculate the common denominator of b and 61\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82\/15 + 24\/5. Let h = 0.18 - -4.82. Let j = 1 - h. Put -0.3, j, m in ascending order.\nAnswer: j, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11513445 (base 6) in base 5?\nAnswer: -43230324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + -1 - (25 + -64 + (21 - -9))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/7*0\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {f: 1, k: 1, q: 2, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(sqrt(1053) + -1) + sqrt(156)\/sqrt(3)*-3)**2.\nAnswer: -144*sqrt(13) + 5628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/5 - 3\/2. Let p = 1.1 + -1.8. Let v = p + 0.4. Which is the second smallest value? (a) v (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 739 = -2*u - u, -2*m = -u + 237. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z + 101. Determine j(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216*j**2 - 2*j**3 - 641*j**2 - 284*j + 216*j**2 - 46*j + 217*j**2 wrt j?\nAnswer: -12*j + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + 1.2. Let g = k - -2. Suppose 6 = -0*p + 2*p. Which is the biggest value? (a) p (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*u, -36 = 66*l - 67*l - 4*u. Calculate the highest common divisor of 5748 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245951 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5102 (b) -0.3 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -146852715?\nAnswer: 146852717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3*(0 - 75). Let i = -70 - r. Suppose -3*x + i = 3*a, 0*a + 15 = 2*a - 3*x. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802238 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 413 (base 6) to base 7\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/7 less than -0.41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*o - 7, 2*o = -2*o + 2*i. Let a(l) = l + 3. Let f be a(o). Suppose -s + 289 = 5*p, -f*p - s = 2*p - 232. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.3 in 1\/5, 0, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139723483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2467 is divided by 862?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -24 + 14 + -41.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 + -14 - -11) + -13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 times -6.5?\nAnswer: 305.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1538, -3070, -4552, -5984, -7366, -8698?\n\"Answer: 25*u**2 - 1607*u + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1896 and -71\/1266370?\nAnswer: 15196440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 599473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1542858 - -2121429478\/1375. Let v = 2\/125 + s. What is the fourth biggest value in 1, v, 0, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 10*166\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 51*s**2 - 3305*s + 3279. What is j(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5409, -10824, -16243, -21666, -27093, -32524?\nAnswer: -37959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 - 677*k + 0.\nAnswer: -677*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*u - 3 = 0, -5*m - u + 3 = -2*m. Let g be (1\/3)\/((-35)\/(-180)). Let n = g - 32\/35. Which is bigger: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -376 + 396.9. Let q = w + -10.27. Round q to 1 decimal place.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r - 65*r + 10 = -2*f, -3*f - r = -18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 81b88 + 6?\nAnswer: 81b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c = -28*c - 4*w - 27, 5*w = -7*c + 20. Solve 135*z = 133*z + c*f + 29, 4*z - f = 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + r**2 + 5*r)*(2*r + 3 - 3 + (11 - 9 + 12)*(2*r + 2*r - 5*r)).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1487 (base 11) to base 13.\nAnswer: b3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-7))\/(-1) - 1062\/42. Let w = 46 + i. What is the second derivative of -28*q**5 + 3*q**5 + w*q - 6*q**5 wrt q?\nAnswer: -620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1605262290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -16\/835 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 171, 253, 335, 417, 499?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -635278 + -95331446.\nAnswer: -95966724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -5\/23 (c) 1\/6 (d) -1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -725 - 37*x + 725 in the form h + s*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 2*s + 14. Let u = 8 + s. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*f - 50*f - 66612. Suppose -10*o + f = 16*o. What are the prime factors of o?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74354.24us to nanoseconds.\nAnswer: 74354240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40413 (base 5) in base 15?\nAnswer: -b8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + 3*c - 2. Calculate a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 181 - 99 - (1 - (7 - -11)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from tyyhvfiiyiiiffttiyhf.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n + 8 = 26*n. Which is bigger: n or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 - q - 2. Let h(b) = -b**2 - b - 1. Let j(m) = -f(m) - 2*h(m). Determine j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 - -157. Let s(h) = -18*h + 6 - 20*h + t*h - 18*h. Determine s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 7 = -23. Calculate the lowest common multiple of 2\/(-5) - 184\/(-10) and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12)\/(-1) + (-56)\/(-78).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15324 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 - 131 = 55*y + 36*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101248 and 35256.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/138 and -137\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/45*5 + (-11558)\/(-18) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 10:28 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1493, 5, 21866 in ascending order.\nAnswer: 5, 1493, 21866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35319760 to the nearest integer?\nAnswer: 5943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Suppose -y = -3, -y = u*d + y - 18. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457743.8920667 - -0.05?\nAnswer: 457743.9420667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35105456?\nAnswer: 2, 739, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 3*q + 1. Let j be b(-2). Suppose j*n = 2*n - 25. Let c = -11 - n. What is the least common multiple of c and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a factor of 58332722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q - 23. Let d be c(-4). Solve 0 = v - d*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17297 and -17296 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44067387, 44067385, 44067383?\n\"Answer: -2*v + 44067389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -103523.225 to the nearest 100.\nAnswer: -103500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 12*z + 10 = -14*z, 2*k - z - 4*z = 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 16*w + 1. Let j(z) = -48*z - 3. Let t(n) = -2*j(n) - 7*p(n). Let x = 2 - -1. Suppose 2 = -l + x. Determine t(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide (37\/(2331\/108))\/((-4)\/(-1106))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -22275 and -73929.\nAnswer: -96204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1243, -0.1, -214, 0.11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -55, -9, -1 in ascending order.\nAnswer: -55, -9, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13411, -3\/5 in descending order.\nAnswer: 13411, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9094*w = 162865 + 200560 + 118557 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 832 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*z**6 + 6*z**2 - 19*z**6 - 19*z**6 wrt z?\nAnswer: -5280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(1*sqrt(78))\/sqrt(2))\/((2*-2*sqrt(12) + sqrt(12))\/(-2*sqrt(576))).\nAnswer: -240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 50. Let f be z(30). What is the greatest common factor of 120 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + (4 - 10) - (-10 + 2)) + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 62. Let s = x + 3. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -29, 0.06 in decreasing order.\nAnswer: 1, 0.06, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -707 = -5*s + 4*j + 68, 5*j = -4*s + 661. Let i = 639\/4 - s. Factor 3\/4*l**4 + 3\/2*l**3 + 0*l + i*l**2 + 0.\nAnswer: 3*l**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0868 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (4 - -1) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1934*r. Let b(s) be the first derivative of 2*s**3\/3 - 1162. What is b(n(v))?\nAnswer: 7480712*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = t + 64, -2*t + 27 + 40 = 5*v. Let k = 16 - v. Solve -5*u + 5*n + 43 = 13, -k*u - 5*n + 2 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)\/(v**(-6)\/v) assuming v is positive.\nAnswer: v**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**3 - 12*t**2 - 10*t. Let v = -21 - -22. Let w(g) = -g**3 + g**2 + g. Let d(l) = v*p(l) + 6*w(l). Factor d(r).\nAnswer: -2*r*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48 - 49) + 5 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 269380 rounded to the nearest 1000?\nAnswer: 269000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)*i)**34\/(i*((i\/(i*i\/i**3))\/i)\/i)**1 assuming i is positive.\nAnswer: i**(233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 6. Let r be (-3)\/((7 + -3)\/(-4)). Suppose -80 = -4*w - r*h, 2*h - v*h + 100 = 5*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 5. Let n be m(4). Let k be (-14)\/(-4)*(-1 - -9). Suppose n*a = 26 + k. Calculate the greatest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362862.\nAnswer: 2, 3, 19, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19407 - -19477. Solve 81*b = k*b - 77 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 1. Let t = -26 + 25. Determine v(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5517*t - 16811. What is r(3)?\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 16258140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/12)\/(2\/3). Suppose -o*y = -0*y - 60. Let k be 30\/y*32\/10. Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13821 and 289428.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1676778335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-1\/3))**15*(b\/b**(-2\/9))**(-29\/2) assuming b is positive.\nAnswer: b**(311\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 191. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 72. What is the remainder when 20 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -21.562?\nAnswer: -474.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -277558 and -277557 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3, -8, -7 in ascending order.\nAnswer: -21, -8, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1 + -3)*-4. Suppose 0 = 3*q + 1 - 10. Solve -z*h - 2*n = -5 - q, 3*h + 4 = n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttuuut. Give prob of picking 1 t and 1 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b - 2*t - 928, -707 = -3*b - 4*t. Let g = b - 103. What is the highest common factor of g and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1256 + -1268 + (-1 - 18 - 0)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0*t - 8*t + 7*t + 7 - t**3 - 5*t**2 + 5*t. Suppose y + 5 = 0, -5*p - y - 38 + 148 = 0. Suppose -x - 4*b = -11, -5*x - 18 - p = -4*b. What is z(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 94, 3, 1?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - 5*w - 4. Suppose -3*t - 4 = t. Let v be p(t). Solve h = 3*h + v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 11*m - 33 + 71 + 2*m - 5*m + m + (-1 - m + 1)*(-1 + 3 + 0) - 3 + 3 - 2*m to the form r*m + k and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -f - l, -3*l - 8 = -2*f + 39. Let t = f - 23. Let h = 31 + -28. Put h, t, 4 in decreasing order.\nAnswer: 4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*v - 11303 = -27*v - 88*v + 48*v for v.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 567*t - 1 + 2 - 492*t to the form o*t + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -8*o + 324. Let l be o\/30 + (-4)\/(-10). Suppose 4*x = -3*i + 159, 0 = -l*x + i + 4*i + 119. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8277 (base 14) in base 8?\nAnswer: 53661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = -2*h - 0, 2*s = -2. Calculate the lowest common multiple of ((-12)\/(-5))\/(9\/60) and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6426, 14417, 23970, 35085, 47762, 62001?\n\"Answer: 781*u**2 + 5648*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -7*h + 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2. Let m be 0 + 1 - (-1 + -2). Let i(q) = 9*q**2 + m - 4 + 0*q**2. What is o(i(u))?\nAnswer: -162*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -201212 (base 3) in base 12?\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4314457 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -95361, -180623, -265885, -351147, -436409?\n\"Answer: -85262*t - 10099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcyylb. Give prob of picking 1 b and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6, d - m - 3*m - 163 = 0. Let f be 4\/2 - 110*-3. Let v = f - d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -55. What is the derivative of -28*t**z + 7*t**3 + 2 - 3 wrt t?\nAnswer: -63*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3\/4 + 357141*v**2\/4 - 2657240646*v - 2657329932 = 0. What is v?\nAnswer: -1, 59524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*j*n*t - f*j*n + f*j*t - 2*f*j + 8*f*t + 26*j*n*t + n*t + t wrt n?\nAnswer: f*j*t - f*j + 26*j*t + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104.2 - 104.20001524. Round y to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -a - 4*d, -20562*a + 20560*a - 4*d + 8 = -6*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 - 421 = -2*q. Calculate the greatest common factor of q and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 11*i = -4*w + 28, -6*i - 3*w = -39. Sort i, -73, 0.06 in decreasing order.\nAnswer: i, 0.06, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 - (4 + -3) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 3083322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.28 - 19.15. Which is bigger: h or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 1048503665.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/480 and -79\/7740.\nAnswer: 61920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a. Suppose -4*x + x + 3 = a. Put 4, x, -2 in decreasing order.\nAnswer: 4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 - (2 - 2*(-3)\/6) is divided by (1 - 0\/1)*29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -87.7. What is the third smallest value in -3, w, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 132522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpx when three letters picked without replacement from lpplpxxxpppp?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/130 + (-1)\/(-2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24846915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23250197 is divided by 404.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -4*n - 33. Suppose -n = -3*k - 0*k. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140083965 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12065594 + 19.5.\nAnswer: 12065613.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -143*f - 3766. Let h be o(-26). Sort -0.5, 2\/5, -1, -3, h.\nAnswer: h, -3, -1, -0.5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 49*p**2\/2 - 25*p - 4. Is q(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-103)\/(-7) + (-42)\/(-147). Is h greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 3*a - 15. Calculate b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by (6\/5)\/((-39)\/(-130)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) 2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*t - 9 = 0, -3 = -0*r - r - t. Solve r + 0*j + 0*j**2 - 2\/9*j**4 + 2\/9*j**3 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/2 (b) 4\/17 (c) -24 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 18. Let b be ((-4)\/(-1))\/((-6)\/(-3)). Calculate the remainder when p(9) is divided by b\/(-4)*(-20)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635 = 88*z + 742 + 949 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 0 - (-3 + 10 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u**(-2\/11)\/u*u)\/u)\/(u**(-1)\/u))**(-2\/25)*(u**(-2\/7)\/u)**(-13)\/(u\/u**(-1)*u)**3 assuming u is positive.\nAnswer: u**(14416\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6424*p - 12884*p + 6466*p - 53 + 53.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 520 - 1558\/3. Solve 0 - 2\/3*k**2 + a*k = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Suppose w = -5*t - h + 5*h - 14, -5*t - 2*h = 8. Let s be 3 + (-2)\/((-6)\/(-3)). Put s, t, 5 in decreasing order.\nAnswer: 5, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h. Let v(m) = -140*m - 85360. Give d(v(j)).\nAnswer: 280*j + 170720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 338769103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 2. Suppose -5*r = -v - 23. Suppose 5*z = 15, 3*f - z - r = -3*z. Solve 0 = -5*u - f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 108814.1?\nAnswer: 217628.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:21 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 562018?\nAnswer: -89922.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 156 = 6*f. Suppose -a + r = 3*a - 79, 2*a - r = f. Solve -a = 3*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -56. Let v(a) = 63*a**2 + a + 1. Let u be v(-1). What is the greatest common factor of u and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1 (c) -53\/10 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*x + 16*s - 14*s, 0 = -3*x - 2*s + 5. Which is the third biggest value? (a) x (b) -12 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8597251 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 8) to base 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9466.\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-30)*-2*(-2)\/(-28)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1926, 1011, -1476, -6321, -14310, -26229, -42864, -65001?\nAnswer: -93426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140 divided by 535?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, m: 1, h: 8, l: 2}. Give prob of sequence ee.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-13)\/(-156))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13\/6, -1.37, 0.4?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(13\/2)\/((f\/f**5*f)\/f**(-5\/4)) assuming f is positive.\nAnswer: f**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -229306 divided by 77\nAnswer: -2978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 2690.\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 3*w**2 + 0*w**3 + 0 - 1\/24*w**4 + 0*w. Let f be o(-2). Put f, 3, -1 in ascending order.\nAnswer: -1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -596 - -595. Suppose 804 = -2*s + 6*s. Is f\/(-3)*(2 + s\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 - 14*t**2 - t - 24. What is y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81838743*p**2*t**2 + 2*p*t**2 - 1032236*t**2 + t wrt p.\nAnswer: 163677486*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 2)*(4*z**2 - 3*z**2 + z**2)*(4*z - 8*z + 7*z) to m*z**3 + w*z + t*z**2 + b and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -304*k - 17*k**3 + 1 + 304*k - 2*k**2 to the form y*k + l*k**3 + m + q*k**2 and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1802, 811, -192, -1213, -2258, -3333?\n\"Answer: -a**3 - 984*a + 2787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2, 101, -1 in descending order.\nAnswer: 101, 2, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6086287 (base 9) in base 16?\nAnswer: -3186b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 9*d**2 + 4*d - 15. Let l(g) = 3*g**3 - 14*g**2 + 6*g - 23. What is 5*l(n) - 8*r(n)?\nAnswer: -n**3 + 2*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 8*v**3 + 2*v**3)*(-v + 2*v + 0*v)*(7 - 1 + 2).\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 77*w + 131. Is s(55) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1558)\/246 + ((-116)\/(-14) - (-6)\/(-21))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1851, -1836, -1797, -1722, -1599, -1416?\n\"Answer: 2*m**3 + m - 1854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -24 + 2*k + 12 + 10. Let v be y(0). Find the common denominator of 38\/3 and (56\/21)\/(v\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m**(-3\/8))\/(m**(-2)*m*m**(-4)) assuming m is positive.\nAnswer: m**(83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284633343.\nAnswer: 3, 347, 91141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 6*a. Is a smaller than -185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 67\/134 + 2*(-89878)\/(-74760). Let x = 18\/623 + g. What is the common denominator of -109\/20 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**3 - 30*s**2 - 14*s + 120. Let z be y(-52). Round z to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055000 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -47, -110, -219, -386, -623?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(2*j**5 - j**5 - 4*j**5) + 1 + j**5 - 1 + (2*j**2 + j**2 + 0*j**2)*(-j**3 - 3*j + 3*j) + 4*j**5 - 2*j**5 - 4*j**5 - 1 + 1 - j**5.\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*n + 8*k + 7, 5*k = -2*n + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2. Let q(d) = 8*d**2 - 104. Let f(b) = 16*h(b) + q(b). What is the derivative of f(k) wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 not equal to 65986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/4 (b) -13 (c) -118\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10324)\/1972 + 10\/2.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in minutes?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -21*v**2 + 53*v**2 - 29*v**2. Let h(j) = -41*j. What is h(b(t))?\nAnswer: -123*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*((-32)\/(-2) - 10554) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(75) + -2*sqrt(75) + 3 + -5)*-3.\nAnswer: -90*sqrt(3) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4 + v**3\/3 - v**2 - 2*v + 34. Let a be w(-1). Solve 4*f + 0*f + 5*m = 16, 0 = f - a*m + 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 + 21. Let v(j) = -22*j**2 - 50*j - 10. Let x(f) = 2*f**2 + 5*f + 1. Let d(w) = v(w) + 10*x(w). Give d(i(g)).\nAnswer: -242*g**4 - 924*g**2 - 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.1 - -23. Put w, 1\/10, 0.5, 0 in increasing order.\nAnswer: w, 0, 1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**6\/24 - g**5\/20 - 3*g**4\/8 - g**3\/6 + 5*g**2\/8 + 3*g\/4 + 28. Factor c(x).\nAnswer: (x - 3)*(x - 1)*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 149. Suppose 4*b + 27 = 7*b. Calculate the greatest common factor of b and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 - 3)*(0*s - 5*s + 3*s) + (-6*s + 10*s - s)*(-4 - 1 + 3) in the form o*s + g and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/10 (b) 3 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9981*y**2 - 13 + 13 + 9986*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -4\/9*d**3 + 0 + 1\/36*d**4 - 3\/2*d**2 - 9*d. Factor u(w).\nAnswer: (w - 9)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 25*w**2 - 7*w - 7. Let a(k) = 8*k**2 - 2*k - 2. Calculate -14*a(f) + 4*i(f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:45 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-five halves of a second?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 118500 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 62106 = -3*t, -2*t = p - 4*t + 20696. What is p rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 3*f = -105400736. Suppose 3*y = 15889140 - 3176502. Let x = y + f. Round x to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 25 = -h, i - 65 = 4*h - 8*h. What is the units digit of (156\/h + 0)*(-65)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.302445 millimeters to centimeters.\nAnswer: 0.4302445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -29, 1 in increasing order.\nAnswer: -29, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283995 is divided by 730?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -10299274.\nAnswer: 92693466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 88*d**2 - 2019*d - 5949. Determine w(-50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/1 + 5 + -7. Let r(f) = -2*f. Let i(b) = -3*b. Let c(o) = h*r(o) - 3*i(o). Let m(y) = -2*y**2. Calculate m(c(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:08 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/6 and -79\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/30 and -143\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + 3 + sqrt(180))**2 + 5.\nAnswer: 36*sqrt(5) + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccxxcccccc. What is prob of sequence cccx?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(9)\/sqrt(108) + (2 + sqrt(3))*-2)*-4.\nAnswer: 12 + 22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-56)\/(-21))\/(1\/15). Let d be j\/(-4) + 0\/1. Find the common denominator of 61\/10 and d\/40 - 133\/12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2894.965 - 2895. What is the nearest to -1 in a, 1, -4, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/5*(40\/(-12))\/2. Suppose z*o = 5*o + 12, 3*o + 3890 = 2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 14591.\nAnswer: -1\/14591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 13*x + 160. Let m be j(0). Suppose b = -48 + m. Let g = -109 + b. Solve 2*v - 15 = -g*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15747 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 460578300 to the nearest 100000.\nAnswer: 460600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 d when four letters picked without replacement from dmdwdwjmwwmdmwdw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f + 10*f = 41*f - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 481635747 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -333135757?\nAnswer: 333135756.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423 divided by -423.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 34*y - 3. Let p(d) = -d**3 + 12*d**2 - 10*d - 7. Let z be p(11). Is o(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-36)\/(-57))*96\/912. Let n be (6\/(-7))\/3 + 0. Sort -2, t, 0.1, n.\nAnswer: -2, n, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887371791?\nAnswer: 31, 60882961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(0 + (-3)\/(-9)). Suppose 50 = o*h - h. Calculate the remainder when 73 is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 39. Is -1 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 46. Let o = 17.96 + u. Suppose 2*f + 15 = 5. Which is the second biggest value? (a) -2 (b) f (c) o (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 19*b**2 + 5*b. Let x(k) = -28*k**2 - 8*k. Let t be -2 - (0 + 0 + -2 + -8). Let m(a) = t*q(a) + 5*x(a). Let g(r) = r - 4*r + 4*r. What is m(g(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/8)\/(b**(2\/21)*b) assuming b is positive.\nAnswer: b**(-163\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55505 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: What is 123180 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/14 + (-8)\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11408 + 11576. Calculate the greatest common divisor of 616 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 19. Solve s = -5*q - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/5, 1, -14, 3, 630?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhxy when four letters picked without replacement from xyyxhxyxyyxhxxxxy?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 34. Suppose l + 3*z - 52 = -3*l, -3*l - 2*z = -38. Let o be h(l). Suppose o*s - 3 = 5*s. Solve 0 = -5*x + 6*x, -s*b + 15 = 5*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + 41*v - 16. Suppose c + 86 = -k + 72, 0 = 2*k - 4*c + 40. Does 6 divide o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 10 = -4*x - 32, 3*s - 1 = -x. Solve 0 = 2*p + 6*n - 2*n - s, -4*p - 2*n = 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0*h*h)\/h**(-5\/2))\/(h**(2\/9)*h*h\/h**0) assuming h is positive.\nAnswer: h**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94 - -54 - -15) + 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 0.027?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13111, 13101, 13083, 13051, 12999, 12921, 12811?\nAnswer: 12663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 36.13\nAnswer: -35.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 6 = -2*u - 5*w, -u - 5*w = 8. What is the remainder when 7 - (u + -2)\/(-1) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011 + 0?\nAnswer: 11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 84*s + 3. Let z be d(1). Let o be 0 + -3 - (1 - -27). Let w = 27 - o. Calculate the highest common divisor of w and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -11 - 11. Suppose -b - 9 = -t. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g - 3*g)*(7 - 3 - 3)*(-25*g - 48*g + 51*g).\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -11 + 5 + -22 - -4) + 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = 0. Let g = -3 + 1. Let n = g + 1.9. Which is bigger: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)\/sqrt(10) - sqrt(11))*-4 + -5*sqrt(99)*2.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80.317 - -0.483. Round x to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*y - 60. Let i = y - 304\/5. Put 3, 2\/5, i in decreasing order.\nAnswer: 3, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -27*a + 8. Let m(w) = -3. Let s(q) = -6*m(q) - 2*z(q). Let f(b) = b**2. Give s(f(d)).\nAnswer: 54*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -148067*n**4 - n**3 + 47370.\nAnswer: -592268*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 21. Let c be (0 + -9)\/(2 + -1). Let g be z(c). Solve g*d - 8 = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 4:19 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -3, -2 in ascending order.\nAnswer: -9, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 63117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, -2\/9, -0.4, 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 - 130*14\/105. What is the units digit of (3 - (3 - 5) - o)*37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 25. Suppose g = 5 + 3. Let y(h) = h**3 - 8*h**2 + h - 1. What is the remainder when y(g) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, i: 14}. What is prob of sequence si?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 242 + -a573?\nAnswer: -a331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992*z**3 - 976*z**3 + 3966*z**3 - 994*z**3 - 998*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 2 (c) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21821\/332 - 263\/4. Let z = 101 + -101. Is v less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 11. Let k = 12 + c. Suppose 0 = -p + k*p - 764. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-15))\/(4\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 5*l = -951, 5*v + l + 1196 = 0. Let i = v + 3583\/15. Which is the closest to -2? (a) 1\/5 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 6*a**2 + 5*a + 6. What is the remainder when (48\/(-15) - -4)*20 is divided by b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*f - 300 = -73*f. Is (64\/20)\/(1\/f) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a + 18*a = -4*s - 23*a + 61*a - 32, s + 38 = 3*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-7 - (-468)\/65).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffmfmfmffffffffff. What is prob of picking 3 f?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.5, 1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442739*x = 442865*x + 1386 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2\/11, 5.44 in ascending order.\nAnswer: -2\/11, 1\/4, 5.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2.8, 0, -91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8064252 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5 + 1. Is l\/3*(23 + -158) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 3*v - 2*v + (2 - 1 - 2)*(2 - 2*v - 2) + v + 1 - 1)*(4*v**3 + 5*v**3 - 6*v**3).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n**2 - 11*n**2 + 37*n**2 - 7*n**2 - 10*n**2.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**4 - 6*n + 4. Let r(m) = 3*m**4 - 7*m + 3. Let j(t) = 6*t**2. Let x be j(-1). Let f(d) = x*r(d) - 7*h(d). What is the derivative of f(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnnsnnssssvsnnv. What is prob of picking 1 n and 1 s?\nAnswer: 49\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002563033 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5\/3 - 28*p**4\/3 - 91*p**3\/3 - 62*p**2\/3 = 0?\nAnswer: -2, -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -367 + 144. Let z = s + 224. Let p be 2\/(-12)*1*-1. Sort 2, z, 2\/9, p in increasing order.\nAnswer: p, 2\/9, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -33131102213310?\nAnswer: -33131102213321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27552513?\nAnswer: 3, 9184171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 3. Let j be f(0). Let z = -5 + -11. Let w = -15.5 - z. What is the biggest value in j, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216 - -236. Let o be (0 + 0 - 2) + 32. Calculate the highest common factor of d and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m - 4*y + 77, -4*y = -5*m - 163. Let a = 42 + m. Suppose -a*k + 14*k = 111. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Suppose 0 = -j*l + 14 + 4. Let t = l + -3. Solve -3 - 6 = -t*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8542 is divided by 2120.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 42*g - 2*g = -110. Solve -15*z + 3*i - 21 = -11*z, -g*z - 9 = -i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0*t**3 + 19*t**2 + 0 - 1\/12*t**4 + 0*t. Let r(d) = -13*d**2 - 8*d**2 + 4*d**2. Calculate r(f(b)).\nAnswer: -68*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15811, 31636, 47461, 63286, 79111?\nAnswer: 94936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjjjjjwjjjjjjjjjw. What is prob of picking 3 j?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p**2 - 74*p + 3. Suppose -3*s - 4*s = -21. Let t(h) = 29*h**2 - 150*h + 7. Let q(k) = s*t(k) - 7*d(k). Find the second derivative of q(f) wrt f.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is 260659 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -443*h**2*i**2*o**3 - h**2*i**2 + 49*h**2*i - 1378*h*i**2*o**3 + 5*h*i**2 - 2*h*o**3 + 4*h*o**2 wrt h?\nAnswer: -886*i**2*o**3 - 2*i**2 + 98*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -816629\/75 - -10888. Let r = -98015\/6 + 16335. What is the common denominator of r and f?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*j - 380 = -323*j. Solve 8*q - 4 = -t + 7*q, -j*t = 5*q - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y + 0*y**3 + 281\/60*y**5 + 13\/2*y**4 + 0 - 32*y**2. Find the second derivative of j(v) wrt v.\nAnswer: 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3239)\/(-711) + (-680)\/180?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -5. Let l = o + -9. Is l <= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/29 (b) -1\/8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(2\/56*-2). Let v = p + 20. What are the prime factors of 2\/v - 330\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16891289.\nAnswer: 97, 174137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)\/i)**(2\/13)*i*i**10*i*i**(-7\/2)*i*i assuming i is positive.\nAnswer: i**(2967\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23843.93 and -9.\nAnswer: -214595.37","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 64*l**3 + l**2 + 7*l - 13. Is t(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j - 2304 = -51*j. What is the remainder when 319 is divided by j\/(-9) + 43\/(-129)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d - 24 = 0. Suppose -8*y = -5*o - 5*y + 1, 2*y - d = -o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 38. Let n(x) = -8*x**3 - 3*x**2 + 3*x - 1. Let i be n(u). Let a = i + -43. Calculate the greatest common factor of 10 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x. Let i(a) = 8*a - 6. Let h(c) = -1 + 6 + 4*c - 8*c - 3*c. Let o(k) = 6*h(k) + 5*i(k). Determine s(o(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2744 and 1764?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 9*d**2 - 29 + (d + d**2 - d)*(4 - 6 + 1) - 3*d - 2*d**2 + 3*d - d**2 + 5*d**2 - 2*d**2 in the form k*d + i + u*d**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-643770)\/25*-1 + 5\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*z - 4*o, 2*o - 107 = 12*z - 17*z. Suppose z*v - 663 - 492 = 0. Calculate the remainder when v is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2303032 - -113?\nAnswer: 2303211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6205169?\nAnswer: 89, 113, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30803063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56652 is divided by 480?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40068 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g + 490. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**7\/105 - 7*h**5\/30 - h**4\/2 + 28*h**2. Factor j(b).\nAnswer: 2*b*(b - 3)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -15.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -5 - (229 + -194)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*r**4 + 7*c**2*r**2 + 2*c**2*r + 11*c*r**2 - 22*c*r - 234291*r**5 wrt r.\nAnswer: -48*c**2*r - 14057460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59653285.\nAnswer: 5, 503, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 245\/9 - 2\/9. Suppose 4*t + 3*i - p = 2, 4*i + 4 = 0. Suppose 0 = v + c + 2, -18 = -3*v + 5*c + t. Solve -v*l - 3*l = 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3018\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, o: 3, t: 4}. What is prob of picking 2 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 8*k + 1. Let s be 17\/5 + 6\/(-15). Let h(q) = -q**2 + 3*q. Let t be h(0). Suppose s*g + l - 19 = t, 2*g + 4*l + 0 + 4 = 0. Give j(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-4))\/((-1)\/(-1)). Suppose -13*b + 416 = -p*b. Let k = b + -79. What is the remainder when k is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 2 + 2. Let s(y) = -6*y - 3*y**2 + 6*y. Calculate s(q(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - v**2 + 0*v**2 + 2*v**2)*(2826*v - 3617*v + 5470*v).\nAnswer: 9358*v**5 + 4679*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from zlllzjzvzllz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (550\/198)\/((-5)\/(-2)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3 - 1935*s**2 + 93900*s + 517500 = 0?\nAnswer: -690, -5, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17078, 32671, 48264, 63857, 79450?\nAnswer: 95043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqqtusg. What is prob of sequence qgt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (0 - 50\/14). Let p = 3135 + -3134.8. Which is the closest to 1? (a) p (b) 2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.608793626 - -0.6088. Round s to 7 decimal places.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0*s + 2\/3*s**3 - 1\/24*s**4 + 0 + 4*s**2. Determine f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 282*b**2 + 16*b + 30. What is the thousands digit of j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 + 4366*k**3*o**2 - 3*k*o**2 + 1014*k*o + o**2 + 2*o wrt k?\nAnswer: -12*k**2 + 26196*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (15 - 6 - 2) + (-14 - -8) + -36.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.12293 + -0.3525.\nAnswer: -57.47543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**2 - r**2 + 5 + r**2 - 5 + (0*r + r + r)*(5 - r - 5))*(-r**2 + r - 10*r**2 - 63*r**2).\nAnswer: 148*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 227947848 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 - -7) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1752460*s**4 + 37*s**2 + 58050.\nAnswer: -42059040*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*k - 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3381709434 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 8083 and 8082 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2417.\nAnswer: 2\/2417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-27))\/(((-1622)\/6488)\/(((-945)\/(-12))\/5)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92561463 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 82 - 183)*(-10 + 10 - 8*j) in the form q + r*j and give r.\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -36851483 != -36851485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*14\/((-406)\/87).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*p - 97*p = -3875*p + 60900 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -6. Let g be 72\/(-15) + (-7)\/35. Let n(f) = f + 9. Let m be n(g). What is the highest common divisor of y and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -114, -485, -1178, -2283?\nAnswer: -3890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40899134?\nAnswer: 2, 19, 37, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 22*n**2 + 3*n - 1. Let a(y) = -23*y**2 - 4*y + 1. Suppose -212 = -1612*i + 1559*i. Determine i*t(l) + 3*a(l).\nAnswer: 19*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -333404 or 5\/44?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 703778803 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/18*(-1 - -4)*4. Let j be (-7)\/14 - (-21)\/i. Let q(y) = y**3 + 12*y**2 + 14*y + 8. Determine q(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 400 - -4?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11412647 rounded to the nearest 100000?\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.4. Let x = -5044 - -25217\/5. Let f be (3 + -2)\/((-1)\/11). Which is the third biggest value? (a) 2\/9 (b) f (c) x (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Suppose 0 = 17*q - 1707 + 1622. Let m(t) = 2*t**2 + 1. Let p be m(1). Solve -h*c + 6 = -3*g + 22, -p*c = q*g + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13206213 and 2988.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 250365?\nAnswer: 4\/250365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33054 (base 6) in base 2?\nAnswer: -1000111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 k when four letters picked without replacement from {r: 2, t: 1, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 1\/12*r**4 + r + 0*r**3 + 0 + 0*r**2. Let v(h) be the second derivative of -h**3\/3 + 43*h. Give f(v(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -387? (a) 3 (b) 2 (c) -1045.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 15*t**2 - 51*t - 16. Let m = -161 - -287. Calculate the smallest common multiple of k(8) and m.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31508 to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-523.7558643\nAnswer: -524.0558643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4212 and 2904798.\nAnswer: 156859092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 104112?\nAnswer: 104112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 581871*c**4*n - 22*c**4 - 2*c**3*y - c**2*n*y + 4*c**2*n - 3*c*n*y - 5806*n*y + n + 2*y wrt c.\nAnswer: 13964904*c*n - 528*c - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3152 divided by -788?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 731567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143) + (-2*sqrt(143) - sqrt(143))))\/((sqrt(132) - sqrt(132)*-1)\/sqrt(12) + sqrt(11)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2734*g**2 + 7*g + 5 - 1114*g**2 + 1.\nAnswer: 1620*g**2 + 7*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 33464.\nAnswer: 15\/33464","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655085420.\nAnswer: 2, 5, 11, 19, 156719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00214281 rounded to six dps?\nAnswer: -0.002143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u - u + 0*u)*(6 + 3*u**2 - u**2 - 1)*((-2 + 1 - 2)*(-2 - 3 + 1) - 4 + 0 + 3) in the form i*u + o*u**2 + q + w*u**3 and give i.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = -5*y, -5*r + y + 1 = -0. Let o(m) = -2*m**2 + m + 5. Calculate the remainder when 24 is divided by o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (10 - 36 - -46)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-3)\/(-6)*(-54)\/(-9). Sort y, 2\/11, 1\/3, -13 in decreasing order.\nAnswer: 1\/3, 2\/11, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -105 + -3 + -1 + 10\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375442 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*m = -552*m + 27024 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1080 + -1023. What is the remainder when 212 is divided by t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 338, 9 in ascending order.\nAnswer: -2, 9, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*a**3 - 122*a**3 + 450*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 5279?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 3. Let d be i(3). Let a be (501\/(-6) + 6)\/((-1)\/2). Suppose d = -3*v + 4*y + a, -v - 5*y - 208 = -5*v. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1086 - 3?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 32*p - 1. Let t be d(5). Suppose q + 2*q = t. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -8. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-84) + 61\/(-189))*21.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 2*u)*(0*u + 0*u + 2*u + (-2 - 1 + 4)*(2*u - 3*u + 3*u) + 2*u + u - 2*u + 1 + u - 1 - 2*u + 4*u + u + (3*u - u - u)*(7 - 2 - 2)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52709567.\nAnswer: 769, 68543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - (-253)\/77. Suppose 5*x + 5*m - 5 = -0*x, -4*x - m = -10. Suppose -162 = -3*z - u*j, 0*j + 2*j = -x*z + 162. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 t, and 1 v when four letters picked without replacement from {z: 1, j: 2, v: 3, a: 2, t: 9}?\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5086650 and 125.\nAnswer: 25433250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from mhmhmmrrrhm?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1157*o = 1098*o + 59 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39729?\nAnswer: 3, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 790587416*z**2 + 790587416*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8366432905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 2830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 3*b**4\/4 - 4*b**3 + 6*b**2 - 15*b. Let v(f) = -18*f**2 + 48*f - 24. Let c(u) = -5*g(u) - 2*v(u). Factor c(x).\nAnswer: -3*(x - 2)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795058 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-24)\/3 - 14994\/(-3705). Let g = -3\/988 - j. What is the common denominator of g and 29\/7?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2653 + -22?\nAnswer: -3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290267489 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5229\/8 + -1302389\/1992. Find the common denominator of b and 43\/83.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -107*v - 3659. What is q(-35)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/4 - 3*q**3 + 360*q**2 + 5100*q + 19500.\nAnswer: -3*(q - 26)*(q + 10)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2898*v**2 + 8274*v**2 - 527*v**2 + 6329*v**2 to the form k*v**2 + f*v + g and give k.\nAnswer: 11178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-30))\/(1\/1039). Let f = -207 + w. Factor f*x**3 + 0 + 2\/5*x**2 + 2\/5*x**4 + 0*x.\nAnswer: 2*x**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 147*k**2 + 468*k = 0.\nAnswer: -52, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*4\/6. Let i = 0.5 - 1.5. Suppose -27*n + 145 = 118. Which is the closest to n? (a) i (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128947 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100612398 and 3?\nAnswer: 100612398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87482374601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 14 - (5 - 1)) + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82720293619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/4 - 3*h**4 - 21*h**3\/4 - 5*h**2\/2 = 0. Calculate h.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 1286 - 1300. Let f(a) be the third derivative of 1\/15*a**5 - 4*a**h - 2\/3*a**3 + 0 + 0*a + 0*a**4. Factor f(k).\nAnswer: 4*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41238*u - 5*m - 336 = -41234*u, -3*u + 4*m + 275 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-8 - 5)) + -36 + 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 5, 4472, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 4*z**2 + 11*z - 11 - 2*z**2 - 11*z.\nAnswer: -z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from bbbbkbbbbbbbb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 + -1. Calculate the greatest common factor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -376692844 and 3?\nAnswer: -1130078532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11127675 is divided by 556381?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13666 + 13668. Sort 2\/19, 0, r, 0.077, 0.4 in descending order.\nAnswer: r, 0.4, 2\/19, 0.077, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 997 and -1.\nAnswer: -997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1604416 and 2236.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 3*r**3 - 3*r**4)*(0*r + 2*r + 0*r) - r**5 - r**5 + 0*r**5.\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 a factor of 1127160795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 - -63?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92915052 to the nearest integer?\nAnswer: 9639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605fe (base 16) to base 10.\nAnswer: 394750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5435 (base 8) in base 7?\nAnswer: 11203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342550195?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*a**2 + 0 + 0*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -5743413\nAnswer: 5743405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rprpmpkpprmkprkpkkr. What is prob of picking 2 r and 1 p?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3153 (base 8) to base 12.\nAnswer: -b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 58. Let s = -2.5 - -2. Let p = s + 0.4. Is p at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 2. Let j(q) = q**3 + 3*q**2 - 2*q + 7. Is j(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/45*552*(-277)\/(-50968)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-14) - 12\/28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n**2 + 998968*n - 31361791 wrt n.\nAnswer: 10*n + 998968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -2.238962.\nAnswer: 6.716886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -11. Suppose 0 = t + 2*z + 2*z - 19, 0 = t - 5*z - d. Let p(f) = f**2 - 12*f + 12. What is the smallest common multiple of p(t) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.7119 and 129.4.\nAnswer: 127.6881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*k + 17 - 46, -4*k + 14 = -3*q. Suppose -5*p = k*p - 13570. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t - 6. Let d(i) be the third derivative of -i**4\/24 + i**3\/6 - 2*i**2. Let l = -8 - -6. Calculate l*w(o) - 11*d(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 - 0?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2544001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**2 - 107*o**4 - 19 - 3470*o**3 + 3*o**2 + 125*o**4 - 16*o**4 + 13*o + 23*o wrt o?\nAnswer: 24*o**2 - 20820*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)\/z*z\/z**(2\/3))**44)**(-21\/5) assuming z is positive.\nAnswer: z**(5236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.207 and 6879256?\nAnswer: 6879256.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((10 - 10 - -7) + (-17 - -11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2075445903.225 minus 5?\nAnswer: -2075445908.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 143881478 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 282*w**3 + 183*w**3 + 248*w**3.\nAnswer: 149*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -17*z**3 - z**2 - 2*z - 1. What is q(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeueueeeuueuuu. What is prob of sequence eeue?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2695615?\nAnswer: 5, 13, 113, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2107 + -2107. Let l(k) be the third derivative of 0*k**4 + 0*k - 10*k**2 - 13\/60*k**5 - 5\/3*k**3 + j. What is the first derivative of l(c) wrt c?\nAnswer: -26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neetieidin. What is prob of sequence dtee?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 226 and 11.\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + 0.9. Put b, 3, -0.4 in ascending order.\nAnswer: -0.4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -212 + 215. Suppose -4*y - r*h = -8393, -y + 0*h = h - 2098. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 5. Let g(u) = 21*u + 59. Let y(f) = 10*f + 30. Let v(h) = -4*g(h) + 9*y(h). Let x be v(-4). Let s(k) = -4*k - 16. What is x*a(l) + 3*s(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 717913?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7310.027 - 7307. Let l = -4.38 + w. Let n = l - -0.033. Round n to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10222112*-9.\nAnswer: 91999008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13961 + 684134\/49. Is 0 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**3 + 5*n - 1. Is s(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**2 - 180*i + 180.\nAnswer: -4*i - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.06, 1\/69, 0.1, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.93 + -8. Let d = o - 2.93. Let x = -367\/620 + -1\/124. Put x, d, 5 in ascending order.\nAnswer: d, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.44 - 27.44. What is the fourth biggest value in d, 4\/9, -1, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 5*w**3 + 2*w**2 + 8*w.\nAnswer: w*(w - 4)*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 0*y**3 + y - 2*y**2 - y**2 + 2*y**3 to the form j*y + r*y**3 + b + g*y**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2634, 2544, 2454, 2364?\n\"Answer: -90*i + 2724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, -0.3, -2, 184?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 341*u**2 - 9*u - 6. Let w be j(-4). Let c be -4 + 79 - (7 - 10). What is the tens digit of (w\/c)\/((-1)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/324*-6)\/((-63)\/567)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 3510*t + 508095. Let v(b) = 3*b**2 + 1754*b + 254047. Let p(q) = -9*v(q) + 4*w(q). Factor p(l).\nAnswer: -3*(l + 291)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*l - 2. Determine z so that -2*z**4 - l*z + 2*z + 3*z**4 - z**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 86, 1, -1.\nAnswer: -1, 1, 59, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*w - 123405 = 30*w + 123*w. Is -4758\/11 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 917*b**3*l**3 + b**2*l**2 + 1404*b*l**3 wrt b.\nAnswer: 5502*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207320880?\nAnswer: 2, 3, 5, 13, 66449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -56.78?\nAnswer: -56.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -178, -2355, -6008, -11137?\n\"Answer: -738*c**2 + 37*c + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3199 is divided by 266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + (-14 - (-73 - -15)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(13) - sqrt(13)) - sqrt(13) - sqrt(13)) + 0.\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let x = -2 + 4. Factor p**4 + 0*p**4 + 1 - 2*p**3 + f*p - x*p**4.\nAnswer: -(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -0.06728?\nAnswer: -0.80736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 1 - 85334*f**3 + 85334*f**3 - 2*f**2 + f - 156*f**4 to the form s + m*f + z*f**2 + n*f**3 + v*f**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a kilogram in grams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 28976*k - 550536. What is a(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -278*c + 1. Let f be i(-1). Suppose 0 = -5*m + 2*h + 1029 + 179, -m = 4*h - 246. Let d = f + m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73842 or 705?\nAnswer: -73842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Suppose 22 = r + 2*h, -6*h = 4*r - 3*h - 68. Let t be k\/(((-6)\/r)\/(-3)). Solve -3*s = -t*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 - 3*h**2 - 2*h**2 + (-1 + 5*h + 1)*(2*h - 2 + 2) - 488*h**2 + 287*h**2 - 807*h**2 as b + f*h + c*h**2 and give c.\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4, -3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 + 904*r\/3 - 2710\/9.\nAnswer: -2*(r - 1355)*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + 279. Let w = 226 - g. Let l = 112.37 + w. What is l rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/208546 and 57\/80210?\nAnswer: 1042730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*d - 268. Let o = d - -611\/7. Put -0.3, -1, o in ascending order.\nAnswer: -1, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p + 0*p)*(-5*p + 1 - 1) + (-3 + 4 - 3)*(67 + 6*p**2 - 67).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9782 divided by 2\nAnswer: -4891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 - 30 = -18*h. Let v(d) = -d**2 - d. Let b = -7 - -6. Let w(g) = -g**2 + 2*g - 4. Let y(p) = b*w(p) + 3*v(p). Give y(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2018 divided by 1009.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*(2\/2 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 21*w**2 - 19 + 1167*w**2 + 2152*w**2.\nAnswer: 3298*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24413\/2558416 - -11\/3017. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.84 + -1.04. Let v = b - 17.913. Round v to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 16 = -4*b, 0 = s + 3*s - 3*b - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11392598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Let z = -1 - 2. Let g be ((-10)\/(-40))\/(2\/2 + -2). What is the closest to v in g, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1044 (base 6) to base 4\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 5*q**3\/3 + 2. Let s(o) = -67*o + 129*o - 65*o. Give v(s(m)).\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*z + 126*z = 764 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let x = -2 - -2. Let g = x - 3. What is the units digit of d(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 - -186. Suppose j*d - 18478800 = -8*d. What is d rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 4*p)*((41*p - 20*p - 13*p)*(-2 - 2 + 1) + 3*p - 2*p - 2*p + (8 - 2 - 2)*(-2*p + 5*p - 4*p) - 4*p + 0*p + 2*p).\nAnswer: 62*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2575 = -60*u + 163*u. Let j(f) = f**3 + 24*f**2 - 27*f - 12. Give j(u).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*j - 5*a, 3*j + 19 = 40*a - 42*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210180 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, l: 2}. Give prob of sequence ll.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (18 - (0 - 22)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.7 - -3.7. Sort 1, r, -3, -1\/5.\nAnswer: r, -3, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by -209?\nAnswer: 47\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -7.1. Let c = -7.9999872 + j. What is c rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 2313 (b) 5 (c) -0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-13)\/3146*24)*1\/44*4\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1198 - 1196. Solve -26*f = -g*f + 48 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8891611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.7 (b) -4 (c) -1 (d) 10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-64)\/1460)\/4)\/(159\/(122430\/(-308))).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.55 - 1.25. Which is the closest to -0.2? (a) -2 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180 - -454. Let t = a + -214. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 136224.\nAnswer: 136224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(1\/9)*d*d\/d**(-5\/3)*(d\/(d\/(d**(2\/7)\/d*d))*d)**(-2\/167))\/((((d\/d**(-1))\/d)\/d)**(4\/23)*d**(-3\/2)*d*d**(-2)) assuming d is positive.\nAnswer: d**(173857\/21042)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2. Let l(f) be the first derivative of 4\/3*f**3 + 0*f**2 - 2 + 0*f. Calculate l(z(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*k + 25, 6 + 14 = 5*k. Suppose a - 2*x = 2, 4*a - 60 = -0*x - c*x. What is the smallest common multiple of a and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -839.89751 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31162939 minus -14633.25?\nAnswer: 14632.93837061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/474525 and -23\/1080?\nAnswer: 3796200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d - 15. What is q(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + m - 21 = 0, -m - 39 + 10 = -5*a. Suppose -3*k = -2*y - 24, 15 = a*k - 2*y + 7*y. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:17 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**2 - h + 1. Let d be o(-2). Let f = 83 - d. Let t be (-4)\/18 - f\/(-180). Is -1 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 128 - (-151 + 118)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose -n*q - 37 = 135. Let v = q + 82. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 0*o - 39000000 = 0. Round o to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165456.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 80. Let y = 0.426 + -0.026. Which is the fourth biggest value? (a) n (b) -0.5 (c) y (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*j - 9*b**2*n**2 + b**2*n - 4*b**2 - 4*b*j*n + 30*b*n**2 - 23*j*n**2 - j*n - 170*j wrt n.\nAnswer: -18*b**2 + 60*b - 46*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1296016 - 1296020.999976. Let r = v + 5. What is r rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -21896.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 - -0.02. Let a = 3.99 - j. Let l be 6 + (-1962)\/99 + 10 - -4. What is the third biggest value in -0.1, a, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/25 + -4 + (-688)\/5880. Let z = -9\/49 - w. Factor 0 + 4\/3*m**3 - m**4 - 2\/3*m + z*m**2.\nAnswer: -m*(m - 1)**2*(3*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + -4 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107136 and 24?\nAnswer: 107136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*j + 102, -5*j + 0*j = -5. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.029 + 6.271. Let f = 1.3 - p. Let o = -2.5 + 0.5. Which is the smallest value? (a) o (b) f (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 27, 0.4, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -51605?\nAnswer: -8\/51605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5773743 divided by -1924581?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203.3971 + 0.2471. Let t = o + 197. Let m = 6.7 + t. What is m rounded to 2 dps?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j**2 - 3*j - 52. Give q(9).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -5*c + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - b7?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -403, 6, -0.1 in decreasing order.\nAnswer: 6, 2, -0.1, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 1\/7, 2\/483?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.5 + -14. Let g = -18.9 + 18. Let c = g - -2.9. Do b and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 2900, 0.\nAnswer: -8, 0, 2, 2900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -131362.6265 to the nearest integer.\nAnswer: -131363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 1212.686?\nAnswer: -1212.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -167*g**6\/120 + g**5\/30 - g**4\/3 - 2*g**3\/3 + 17*g**2. Is p(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 18 + -1 + -6 + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 25 = -73. Let a be 3\/4 - (s + 3508\/(-16)). Suppose q + p = a, 3*p + 900 = 4*q + 6*p. Is q a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2 (c) 4466\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-3)*(-43)\/(-86)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 47*b + 5. Let j = -35 + 41. Is h(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 95\/((-45)\/12 + 4). Let b = 29 + y. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876 = 2*m + 2*u, -2*m + 4*u = -818 - 82. Let k = m - 202. Suppose 0*n + 5*n = k. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - 2 + 2 + (-i - 3*i + 2*i)*(-3 + 3 + 2*i) + (-1 + i + 1)*(0 + 0 + 2*i) - 7*i**2 - 12*i**2 + 0*i**2.\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7523122.\nAnswer: 2, 29, 151, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**3\/3 - 4*u**2 + 2*u - 8. Let z be l(-8). Solve -12 = 2*n + z*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 4*w. Which is the biggest value? (a) 10\/3 (b) w (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + 0*a + 0*a + (-3*a**2 + 2*a**2 + 2*a**2)*(a - a - 2*a) + 35 - 2*a**3 + 29 + a**3.\nAnswer: -2*a**3 + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/846811 + -26111417089\/13548976. Let y = h + 1930. Find the common denominator of (-5 + 6 - 21\/9) + 130\/(-120) and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyaayyyyvvy. What is prob of sequence vya?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - ((-1 + sqrt(252) - sqrt(252)) + sqrt(252) + -2)) + -5)*6 + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v - 21. Let q = 8 - v. Which is smaller: 1\/7 or q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 11 - 28 + 2*i)*(-1 + 0 + 2*i + 0*i) - 71*i**2 - 2450 + 2450 + (0*i - 2*i + 4*i)*(4*i + 3*i - 6*i) to the form d*i**2 + w*i + p and give d.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25400, -50797, -76192, -101585, -126976, -152365?\n\"Answer: j**2 - 25400*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 1840 = -3*t. Round t to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.9 + -0.1. Let c = s - -8. Let o be (0 - 0)\/(2 + -4). What is the closest to o in 0.4, c, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2234, 3367, 5404, 8351, 12214?\nAnswer: 16999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270489492 divided by 6440226.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u + 13*u - 10, 5*o + u = 5005. List the prime factors of o.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96726 divided by 6909\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 1490*f - 744*f - 736*f + 10*f**2 + 16. Calculate x(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-15) - (384\/80)\/(-12)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275 = 1006*i - 1091*i + 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -8. What is the remainder when 1*1\/(-1) - -58 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132201.\nAnswer: 3, 37, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12 = 5*u, -5*z + 18 - 25 = u. Let w(y) = y**3 + 2*y**2 - 1. What is w(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1452 or 1449?\nAnswer: 1449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 261, 241, 197, 123, 13, -139, -339?\n\"Answer: -i**3 - 6*i**2 + 5*i + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1781818 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 5\/(3 - -2). Is 30675\/z + (-4 - 9\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 948\/(-8) + 1\/(3 - 1). Let h = -115 - t. Solve -14 = -x - 0*p + h*p, 2*x + 17 = -3*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1479680 - 231*r**2 - 42*r - 253*r**2 + 489*r**2 - 2801*r - 2597*r.\nAnswer: 5*(r - 544)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, d: 2, z: 11, k: 1, n: 1}. Give prob of sequence ddzz.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24363282?\nAnswer: 2, 3, 19, 213713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 20*c**3 - 181*c**2 + 29*c - 104. What is a(9)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 36 = -4*g. Suppose 5951*y + 78 = 5977*y. Suppose g*p - 4*p = y*p. Solve -m = 5 - p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*t**2 + 1126532*t + 321864.\nAnswer: 4*(t + 40233)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 388 (b) -1.1 (c) 5 (d) 3\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 11*c**2 + 12*c + 21. Calculate s(-8).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 54683160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**10)\/(x**20\/x)*x*x**(-10\/9)*x*x**(1\/3))**(1\/13) assuming x is positive.\nAnswer: x**(-241\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*r**4 - 309*r**2 wrt r?\nAnswer: -2088*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -5, 288, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3218 + 5292. Does 61 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 1. Let n(i) = i**2 - 4*i + 1. Let y be n(7). Suppose -3 = -y*q + 19*q. Let a(s) = -5*s**2 + 23*s - 32. Let g(h) = q*a(h) + 2*u(h). Factor g(f).\nAnswer: -5*(f - 3)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 323 = 221. Which is smaller: y or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/11 - 173\/165. Let i(l) be the second derivative of 0 + f*l**3 - 2\/5*l**2 - 1\/60*l**4 + l. Suppose i(j) = 0. Calculate j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81.48 - -2.52. Let z = 88 - t. Sort 4\/9, 5\/6, 6, z in decreasing order.\nAnswer: 6, z, 5\/6, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 53*s**2 - 146*s - 1093. Calculate t(-54).\nAnswer: 3875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1033*n - 2065*n + 8 + 1030*n + (-n - 2*n + 2*n)*(2 - 1 - 2))*(3*n - 2 + 2) to the form j*n**2 + h*n + y and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 331003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*d**3 + 1 - 40*d**3 - 13*d**2 + 2 + 16*d**2 to the form s*d**3 + r*d**2 + i*d + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 210*t**3 + 175*t**2 + 12*t + 2. Let c(r) = 209*r**3 + 175*r**2 + 18*r + 3. Let w(m) = 4*c(m) - 6*o(m). Find the third derivative of w(q) wrt q.\nAnswer: -2544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*o - 4220, 3*o = 2*g - 719 - 7707. Round g to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -83168*c - 415901. Determine u(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*i + 23, 0 = -242*i + 244*i - d + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0.16, 3, 5\/2 in decreasing order.\nAnswer: 3, 5\/2, 0.16, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/2))**18\/((o\/o**(-4))\/o**(-2\/23))*((o*o**(-1)\/o*o)\/(o**(1\/4)\/o))**(4\/5) assuming o is positive.\nAnswer: o**(519\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34 and -12*(156\/(-27))\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/13 - 70458*k**3\/13 - 620576448*k**2\/13 - 620505992*k\/13 = 0. Calculate k.\nAnswer: -17614, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 202*k**3 + 0*k**4 - 206*k**3 - k**4 + 5*k**2 to the form d*k + z*k**2 + c + w*k**3 + n*k**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**2*s - 2739132*r**2 - 6427985*s wrt r.\nAnswer: 2*r*s - 5478264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24673\/189670 - 1\/1459. Find the common denominator of i and 155\/3432.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5441*p - 584760 = -56983 for p.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 5 = 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7276.9 + 7277. Let n = -6 + 6. Which is the nearest to q? (a) -0.3 (b) -22 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2438, -4868, -7298, -9728?\nAnswer: -12158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42495478 to the power of 1\/3, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, u: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(6)*-5 - 6*(sqrt(30) - -2*sqrt(30)))\/(sqrt(10) + sqrt(40) + (sqrt(40) - sqrt(5760)) + sqrt(40) + sqrt(100)\/sqrt(10)*-1).\nAnswer: 23*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30669 + 3?\nAnswer: -30666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -767, -5966, -19917, -46946, -91379, -157542?\nAnswer: -249761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4002890223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 2*t - 2. Let j = -1 + 3. Let q(i) = -3 + 280*i + j*i**2 - 565*i + 282*i. What is -3*c(s) + 2*q(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23225 and 13549465?\nAnswer: 67747325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 354448186\/43 + 3 + (1 - -1). Let g = -8244330 + q. Let a = -1344 - g. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*((1 + sqrt(512) - sqrt(512)) + -5))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -69.000145. Round o to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/15*10\/3. Suppose -b*p - w + 6 = -7, 2*p + 21 = 5*w. Factor -2 - 3*x - x - 2*x**2 + 0*x**p.\nAnswer: -2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-3)\/(-8) - 0). Let i = -2 - m. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. What is the second biggest value in p, -1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1923 + 5*s**3 + s - 1986 - s - 2*s**3 to o*s**3 + c*s + q + n*s**2 and give q.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:01 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = 13. Suppose u - 80 = -b*u. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4. Let q(t) = t. Let w(m) = -3*m - 1. Let z(y) = -5*q(y) - w(y). List the prime factors of z(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 8 + 20)*(-p + 6*p - 3*p) + (7 + 0 - 2)*(p + p + 0*p) as o + b*p and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 6 + (-5 - (9 + -14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -490, 58 in descending order.\nAnswer: 58, -1, -3, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3563 is divided by 242.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 24*z**3 + z**2 - 3*z + 3. What is j(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684570424?\nAnswer: 2, 3803, 22501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**4 + 12 + x**2 - 4 - 2 - 5 to l + a*x + s*x**2 + g*x**3 + m*x**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*o - 14. Solve 0 = -o*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17892150.8 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i + 2. Let l(u) = -1 - 2 - 195*u + 201*u. What is -2*l(q) - 3*y(q)?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 11*j**5\/20 + 4*j**3\/3 + 7*j. What is the second derivative of u(c) wrt c?\nAnswer: 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t**2 + t + 1. Let x(q) = -25*q**2 - q - 2. Let c(p) = -5*a(p) - 3*x(p). List the prime factors of c(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0 + 1\/24*z**4 + 0*z + 1\/240*z**5 - 14*z**2 + 1\/6*z**3. What is w in b(w) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3568*p**2 - 3584*p**2 - 10*p**3 + 7152*p**2.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2168 - 0.0832. What is the nearest to -3 in -4, 0.2, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 505.4071 centimeters?\nAnswer: 5054071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6 and 85\/605332.\nAnswer: 1815996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 36*r + 17. Does 47 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/75056 and 9\/112.\nAnswer: 525392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w - 28. Give m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00835548 rounded to four decimal places?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, e: 1, o: 2, p: 2}. Give prob of sequence ejpo.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2683 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/4 + -41\/12. Which is the closest to -1\/6? (a) -1 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*10*(-6)\/(-15). Let x(r) = 0*r + 0*r + r - t*r. Let b(k) = -k**2. Determine x(b(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37853, 75656, 113457, 151256, 189053, 226848?\n\"Answer: -n**2 + 37806*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -111010111100101 (base 2) to base 16\nAnswer: -75e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1672546 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*1)\/((-32)\/8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*b)*(0*b**2 + b**2 + 0*b**2)*(-5895 + 5895 + 97*b).\nAnswer: 291*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 106?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2. Let l(p) = -1030*p**2. Give l(t(a)).\nAnswer: -9270*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 - 73065*f**2\/4 - 333665022*f - 333646756.\nAnswer: -(f + 1)*(f + 36532)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2\/2)*48\/36\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}