diff --git "a/data/dm_maths/full_data_1/264_11255.jsonl" "b/data/dm_maths/full_data_1/264_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/264_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the smallest common multiple of 927 and 12327.\nAnswer: 3809043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -395. Suppose 3564 = 3*r + l, -3*r + 3223 + g = -2*l. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-23)*p*p*p\/(p*p**(-40))*(p*p**41*p)\/((p\/p**(2\/21))\/p*p) assuming p is positive.\nAnswer: p**(1283\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 a factor of 73306420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = x + 22, -3*h + 19177*x - 29 = 19179*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Let o = -1.27 + 5.27. Sort x, -0.3, o in decreasing order.\nAnswer: o, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 10:23 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780 + ((-48)\/36)\/(8\/(-18)).\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 14) in base 11?\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10257223 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2100\/(-58800) - 761\/(-336)) + 1\/(-16).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2538*c = 2544*c - 5035*c - 2115 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29 - -7)\/(3\/(-6)). Suppose -47*j + 6 = -a*j. Let q(s) = s**3 + 4*s**2 + 2*s + 2. Let l be q(-3). Solve -2*i = -3*f, 0 = 2*f + j*f + l*i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367*i**2 - 367*i**2 - 45*i**3)*(6*i + 3*i - 4*i) + 2*i**3 - i**4 - 2*i**3.\nAnswer: -226*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*c**3*k - 165*c**3 + 6*c*k + 52974598*k wrt c?\nAnswer: 150*c**2*k - 495*c**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107895866 a multiple of 2525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u + u + (0 - 3 + 7)*(-2*u - 2*u + 2*u) - 48 + 48 - 9*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 38*o + 441288000. Round o to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = -39*p + 102. Solve -b + 4 = p*o - 0, 2*o - 8 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 5*f - 110, -3*f = 5*i - 5886. Calculate the smallest common multiple of i and 70.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 4)*(-1 + 2 + 0)*(-6*p + 4 - 4) + 0*p - 2*p + 3*p + (1 - 4 + 4)*(p + 2*p - 2*p).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 24852040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 32*b + 21 + 199 = 0. Let n(z) be the second derivative of -8*z + 1\/60*z**b + 0 + 0*z**2 + 7\/30*z**3. Factor n(v).\nAnswer: v*(v + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -464.2 - -464. What is the nearest to 1 in 2\/15, 0.2, -9, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Let h be -500*(-6 - -2)\/r. Round h to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34075514\/1823 - -18692. Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(22\/(-990)*-75)\/((-10)\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215731 = 6789*p - 269186 + 50421 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 402.968267967 and -1.\nAnswer: 401.968267967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 1\/2*z**4 - 3\/2*z**2 + 0*z**3 + 0 - z = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3355 and 104602.\nAnswer: 104602.3355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 10:56 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196 - -353. Calculate the remainder when 8004 is divided by o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 9*h**7\/280 - h**5\/120 - h**4\/24 - 244*h**3\/3 - 212. Let i(t) be the third derivative of b(t). Calculate i(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -681791 - -3?\nAnswer: -681788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 4, 3 in ascending order.\nAnswer: -8, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(78)*-4)\/((sqrt(600) - (sqrt(600) + sqrt(600)*-2) - sqrt(600)) + sqrt(18)\/(sqrt(15)\/sqrt(5))).\nAnswer: -4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((18\/(-30))\/(-1))\/(2\/10). Let j(l) = l**2 - l + 6. Let h be j(t). Suppose -609 = -3*r - 3*s, -3*s - h = -7*s. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 27. Determine y(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 16. Find the third derivative of c*j**2 + j**2 + 35 - 35 + j**4 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68453?\nAnswer: 7, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + o - 1. Let i be 1*(-5)\/15*3. Let y(r) = -6*r**2 - 3*r + 3. Give i*y(k) - 3*l(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -5 (b) 4 (c) -27.69 (d) -2\/7 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48384 is divided by 1642?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(-1 + sqrt(612))**2.\nAnswer: -12*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/2*f**3 + 168 - 703*f - 479\/2*f**2 = 0. What is f?\nAnswer: -3, 2\/9, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 + 2*c - 3. Let j(i) = -6*i**2 - 2*i + 4. Let n be -2 + 3 - (115\/(-92) - (-7)\/(-4)). Give n*j(d) + 5*s(d).\nAnswer: d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 8*t**2 + 20*t - 23. Give s(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**3 + 117*i**2 + 7887*i - 115713 = 0.\nAnswer: -43, 13, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/5 - 38*x**3\/5 + 561*x**2\/5 - 1922*x\/5 + 280 = 0. What is x?\nAnswer: -50, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1, 5*v - 311 = 4*s - 115. Is v a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 22*u - 19. Determine h(-14).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q = 47*q + 244. Let p(f) = f - 71. Let s be p(0). Let z = s + q. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 12) to base 10.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1335\/356)\/((-9)\/(-72))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3 - 3 - 2 - 17*a. What is the units digit of m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 less than -10788685966?\nAnswer: -10788685948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -29, -2 in decreasing order.\nAnswer: -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48485851 and -0.11.\nAnswer: -48485851.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26736 and 1116785.\nAnswer: 53605680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 4*x + 6. Let p be z(-3). Calculate the highest common factor of 48 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -540, -889, -1288, -1749?\nAnswer: -2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.078 - -3.080822. Round b to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2825*k**5 + 219*k**4 - 2*k**3 - 27848695*k wrt k.\nAnswer: -56500*k**3 + 2628*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 376124 and 75012?\nAnswer: 53033484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e5 (base 16) to base 2.\nAnswer: -111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**2*v**2 + t**2 + 2790*t*v**2 - 2*v**2 + 38957*v wrt v?\nAnswer: 4*t**2 + 5580*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + y = -4*x - 1, -3*x + 2*y - 19 = 0. Let s be (5 + -92)*(x + 14\/6). Let l = 21 + s. What is the remainder when l is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 1. Let q(b) = -b**3 - b**2 + 4*b - 6. Let h(j) = -2*j**3 - j**2 + 8*j - 13. Let l(i) = 2*h(i) - 5*q(i). Determine l(s) + 4*y(s).\nAnswer: s**3 - s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663159420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, a: 5}. Give prob of picking 2 c.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 2481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (30\/42)\/((-425)\/34)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 2*d + 14, -21 + 2 = -5*k - 4*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (303\/(-101))\/(18\/(-4)). Suppose c = -4*p + 22, 5*p - 23 = -c + 4. Suppose 6*d - 7*d - c = 0. Sort d, 1\/8, n in decreasing order.\nAnswer: n, 1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16260 - 6807. What are the prime factors of g?\nAnswer: 3, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7168224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 126*q + 28. Let n(a) = -14*a - 3. Let i(f) = -3*c(f) - 28*n(f). What are the prime factors of i(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/60 - v**4\/12 - v**3\/6 - 6*v**2. Let h be c(0). Let s be 240\/315 + h\/3. Which is smaller: 2\/5 or s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 10699700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6931436 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 14*z - 251. Solve 26 = 4*y + z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-144)\/140)\/(-2 + (-51)\/(-30)) and 40\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -223497, -223495, -223493, -223491, -223489?\n\"Answer: 2*c - 223499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-21) - (-4)\/(-7). Let t be (3\/6 + 1)*2. Sort v, t, 2 in descending order.\nAnswer: t, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.0633888 rounded to 3 decimal places?\nAnswer: 16.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(-1)*-3. Let l(b) be the first derivative of -5*b**4\/2 + b - 166. Let d be l(k). Solve -m - 4*z = -6*z + d, 5*z = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 4, y: 6, s: 2, l: 1, f: 2}. What is prob of sequence sycf?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 19*o - 84. Calculate the remainder when 101 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-66))\/((-2)\/8). Let g = 1.2129 + -1.1429. What is the nearest to 0 in g, -1, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -65.3. What is the third biggest value in i, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190106?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*n**2 + 314*n - 464*n - 108 + 414*n.\nAnswer: -4*(n - 9)*(7*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9800748 divided by -80334\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -394*j - 312*j**3 + 394*j + (5*j**3 - j**3 - 3*j**3)*(-4 + 2 - 1) to the form v*j + z*j**3 + h*j**2 + t and give z.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0733 in 5, 0.5, -2, 17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 105\/(-24) - -2 and (-39)\/(-6)*12\/30.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0 (c) 0.03 (d) -0.503\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 5*l**2 + 407*l + 821. What is g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/(-348)*(-45)\/50.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -231a (base 11) to base 12\nAnswer: -191a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-60)\/(-9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -59436?\nAnswer: 29718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*q**2 + 314*q**2 + 2*q**3 + 314*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 19*y**2. Let x(d) = d**2 + d + 1. Let k(t) = -25*t**2 - 30*t - 30. Let n(s) = k(s) + 30*x(s). What is n(h(l))?\nAnswer: 1805*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1381138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57446 and 2246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1.7. Let v = -0.3 + s. Let h = -66 - -70. What is the nearest to -2 in v, h, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -9, -4, 10, -2, 3 in increasing order.\nAnswer: -9, -6, -4, -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - 25474?\nAnswer: -254a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 11*d - 10. Let t be w(-7). Let y = 37 - t. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 + -3)*12\/3*(-1)\/(-6). Solve y*a - 5*a - 4 = 0, 4*x - 5*a = -36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/14*-4*(-3)\/18. What is the nearest to n in 3, -2\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3624684.\nAnswer: 2, 3, 7, 43151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 15*m + 3. Let t(v) = 2. Give f(g) + 2*t(g).\nAnswer: 2*g**2 + 15*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 6, f: 1, k: 3, i: 2, r: 2}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -155*m + 152*m. Let p(o) = 2*o**3 - 3*o + 4. Let i(c) = -c**3 + 4*c - 5. Calculate m*i(u) + 3*p(u).\nAnswer: 4*u**3 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -778 + 813. Calculate the remainder when 150 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70*f**3 - 42787*f**2 + 42786*f**2 - 34*f**3 + 60*f**3 + (3*f**3 + 4*f**3 - 5*f**3)*(1 - 1 - 2) - 1 - 2*f**3 + 1.\nAnswer: 90*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 51109.\nAnswer: 1226616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -59502.11011 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 16 = -3*j, j + 20 = 4*y + 3. Let a(p) be the third derivative of 0*p + 1\/24*p**4 - 2*p**2 + 0 + 0*p**j. Let f(m) = 7*m. What is a(f(o))?\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.2 + -13. Which is the third biggest value? (a) -1\/2 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 7*x**2 + 9*x + 7. Let d be -2 + 4 + (3 - 1 - 5). Let h be (d*(-4)\/16)\/(1\/(-4)). Let i be 3\/(-3) + (1 - 7) - h. Calculate t(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*f - 8, -10 = 5*o + 122*f - 117*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*((sqrt(300) - -2*sqrt(300) - sqrt(300)) + sqrt(300)) - sqrt(135)\/(sqrt(5)*3))*4.\nAnswer: 1820*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146 - 121. Let n = 65 - 26. Calculate the remainder when n is divided by ((-12)\/(-15))\/(1\/k).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9013196.0901534 - -9013198. Let c = -1.91 + z. What is c rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164268\/5*u - 6406452\/5 - 1404\/5*u**2 + 4\/5*u**3.\nAnswer: 4*(u - 117)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172 - -176. Is (((-18)\/k)\/(-9))\/(2\/3572) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-8) + (3 - -16).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - f - 2*f)*(3 - 4 + 2) + 3*f - f + f + f + 2*f - 5*f as i + p*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26153, -52307, -78459, -104609, -130757?\n\"Answer: z**2 - 26157*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13620 and 1362?\nAnswer: 13620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 0, 6.\nAnswer: -2, 0, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19\/(-38))\/((-9)\/(-114))*-15. Let m = 338 - 155. Suppose -5*z + 7 = -m. What is the highest common factor of q and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 4 + 4)*(-915 + 2330 - 265).\nAnswer: -2300*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 19*y = 15*y - 1104. Calculate the highest common factor of 897 and y.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-2))\/((12\/8)\/(-3)). Put -1, m, 47 in descending order.\nAnswer: 47, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14765\/2 or 7384?\nAnswer: 14765\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -869, -3489, -7871, -14027, -21969, -31709?\nAnswer: -43259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 882*y**2 - 1144*y - 7. Let k(z) = 588*z**2 - 763*z - 5. Let v(o) = -5*j(o) + 7*k(o). What is the second derivative of v(n) wrt n?\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 106. Suppose 7*l - 2*l + m = 0. What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96717466 by -2.\nAnswer: -48358733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4374.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.42 - -8.52. Sort 0, -0.4, c, -2\/9 in ascending order.\nAnswer: c, -0.4, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*m + 78 = 88*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3 + 3016*g**2 + 1140042*g + 2268036 = 0. What is g?\nAnswer: -753, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 460 = -23*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {o: 1, k: 2, z: 2, j: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12\/9*(-189)\/(-84)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 3*g**2 + 14*g + 12. What is p(-5)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**5 + 906*r**3 + 4528*r**2 wrt r.\nAnswer: -60*r**2 + 5436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 - 171. Suppose 0 = -o*v + v + 5*i + 15, 5*i = -v - 5. Solve -6*q - 5 = -v*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 + 1607\/15. What is the closest to -1 in 2\/23, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u. Let a(n) = -180304 - 21*n + 81*n**2 + 180304. Let b(y) = -8*y**2 + 2*y. Let k(j) = 2*a(j) + 21*b(j). What is k(q(t))?\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005176 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.105 and -861983?\nAnswer: 90508.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13460*y**5 + 22*y**2 + 122 wrt y.\nAnswer: -807600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2 + 53319*h + 266504. Give u(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + s - 1. Let f(m) = -5*m**2 + 6*m + 8. Let v(t) = -f(t) - 2*u(t). Let y be 3 + (2 - (1 + 2)). Let j = -10 + y. Determine v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52038084, 52038083, 52038082, 52038081, 52038080?\n\"Answer: -j + 52038085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-5265)*108*-265*(-4)\/48\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**3\/3 - 2*i + 2. Let x(t) be the first derivative of f(t). Let g(o) = 0*o**2 + 6*o**2 - 4*o**2. Give x(g(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 1\/4, 318, 25, 2\/75 in increasing order.\nAnswer: -1\/6, 2\/75, 1\/4, 25, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 134987 (base 11) in base 10?\nAnswer: 211482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 399 = 60. Suppose -2*o - 3*u + f = 0, 0*u = o - 2*u - 15. Is 2 a factor of 16\/(-20)*(-20)\/24*o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112873520 by 5643676.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222021012 + -1?\nAnswer: -222021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 3. What is the common denominator of -20\/9 and -9 - -12 - w\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:34 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/8 - 8669*y - 150303122 = 0.\nAnswer: -34676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -16. Suppose a = 4*y - 58, -y - z*a = 3*y - 46. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5953 times -7523\nAnswer: -44784419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*j + 43*j + 6 = 0. Let b(v) = -9*v - 7. Let o(q) = 8*q + 6. What is j*o(h) + 5*b(h)?\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.21 rounded to one dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(800\/(-30))*(-15 + -1))\/(-1). Solve 25 = -4*m - 3*t, -17*t = -4*m - x*t - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5025886299924 and -47.\nAnswer: -5025886299971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**6\/60 - 17*y**5\/40 - y**4 - y**3\/3 - 18*y. Let o(g) be the second derivative of d(g). Factor o(c).\nAnswer: -3*(c + 8)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -42*v + 90*v - 46*v + 9. Determine b(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 2, t: 2, l: 6, f: 2}. What is prob of picking 1 k and 1 t?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 37*u - 28. What is the tens digit of (u\/2)\/((-16)\/(-24128))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-21))\/((-24)\/(-180)). Which is the third smallest value? (a) 12 (b) o (c) 0 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 20, -2*s + 6*a - 4*a + 204 = 0. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 8) to base 16.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 8686*q**2 - 56*q + 9269*q**2 + 56*q - 2*q**3 as h*q**3 + f + t*q**2 + g*q and give t.\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13304955 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1189 rounded to 3 dps?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to -94\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**3*x**2 - c**3*x - 230*c**3 + 4*c**2*x**3 + c*x**3 wrt x.\nAnswer: 24*c**3 + 24*c**2*x + 6*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 + 1400120*q + 122521000900 = 0. What is q?\nAnswer: -175015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(2\/(-6)*-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2 - 22*k - 6. Let y be b(-4). Suppose 0 = -c + y*g + 497, -2*c + 1009 = -g + 2*g. Does 33 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 4, 106483, 1 in increasing order.\nAnswer: 1, 4, 89, 106483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 - -71. Suppose s*l = -42*k + 38*k + 260, 0 = 4*l - 5*k - 167. Calculate the greatest common factor of l and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16582306467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Suppose 0 = q - 3*q - z*k, 0 = 4*q + 5*k + 2. Calculate the remainder when 41 is divided by -7*(6\/q + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39933648 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -351242 divided by -2?\nAnswer: 175621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v + 0*v)*(-1408*v + 1014*v + 753*v).\nAnswer: -718*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxxn when four letters picked without replacement from xlfqlfxnqqsqxlsllxl?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 4*q**3\/3 + 2*q**2 + 9. Determine v, given that c(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-12)*1*-3. Suppose k*x - 374 = -0*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 19*w + 11. Let l(g) = -5*g - 3. Let z(x) = 6*f(x) + 22*l(x). Let t = -32 + 36. What is z(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -4\/5, -2\/5, 433?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -2, 4.\nAnswer: -2, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-46))\/((-17)\/(-34)). Which is the nearest to -3\/5? (a) 0.5 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6556, -52502, -177222, -420106, -820544, -1417926, -2251642, -3361082?\n\"Answer: -6565*v**3 + 3*v**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-2 + 0)) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntze when four letters picked without replacement from {p: 1, e: 1, z: 2, n: 1, t: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w + 3 - 3 + (81*w - 49*w + 25*w)*(-4 + 1 + 2) in the form a + u*w and give u.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70)\/(-28))\/((-36000)\/(-64)))\/(2\/(6*-2))?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 53*d + 526 = -36*d, 0 = -5*i - 9*d + 8*d + 36 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106*g**2*h**3 - 3*g**2*h - 18*g**2 + 3*g*h - 115*g wrt h.\nAnswer: -318*g**2*h**2 - 3*g**2 + 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -67 - 31) + -25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75429 is divided by 4241?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*2*6 - sqrt(125))*-3)**2.\nAnswer: 136125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 76590 and 842496\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3285 and 777888?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 166*n**2 - 1058*n**3 - 166*n**2 - 70*n**3 + 0*n**3 - n**3 + 0*n**3 + (0 + 2*n**2 + 0)*(-6*n + 3*n + 2*n) - 2*n**3 - 1 + 1.\nAnswer: -1133*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/46*5*2\/15. Let k = 11\/138 + o. Which is the nearest to 1\/4? (a) k (b) -2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13400228360 to the nearest one million.\nAnswer: -13400000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2) + 1\/2. Determine v so that -44*v**3 + 7*v - 25*v**4 - 10*v**5 - v - 16*v**p - 11*v**4 + 4 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013314 (base 5) to base 15.\nAnswer: 4e3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -200111002101002 (base 3) in base 15?\nAnswer: -ce0a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -0.5, 4606?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2189*b - 26315. Give q(12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f, x + 24042 = -3*f + 295301. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*r = 3*b + 130, 3*r = -3*b + 480. Let n be b\/55 - 2\/(-11). Let m(c) = -c - 1 - n*c + 5*c. Calculate m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*q + 721*q - 47916 = 0 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1897*y + 15438. Give t(-8).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*x**3 - 484*x**3 + 157 - 80*x**3 - 246*x**3.\nAnswer: -680*x**3 + 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 32695 = 42*m + 3*f, -5*m = -f - 163447. Does 349 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6447?\nAnswer: 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000102981 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*u - 279*u - 2*u**2 - u**2 + 10*u**2.\nAnswer: 7*u**2 - 330*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310 + -170. Suppose 4*t - u = -12. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x. Let z(c) be the second derivative of -2*c**3 + c**2 + 289*c + 1. Determine s(z(j)).\nAnswer: 36*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482 a factor of 559893436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 24*x - 23*x - b, -6*x + 4*b = -18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - i**3 - i**3 + (1 + 9*i**2 - 1)*(60*i - 11*i + 90*i).\nAnswer: 1249*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1049*n**2*t**4 - 12*n**2*t**3 + 3*n**2 - 14465 wrt t.\nAnswer: -4196*n**2*t**3 - 36*n**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3249 is divided by 860.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 0.5 (c) -0.02 (d) -3400\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -658, -649, -640, -631, -622?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 766440211 a multiple of 14421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52741314263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 460 divided by -4\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x - 10. Let p be 36\/(-8) - (-1)\/x. What is the third smallest value in 1, p, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {x: 1, t: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 31. Let q be v(-33). Suppose -4*j + 36206 = 2*d, -q*j + 2*d - 9056 = -3*j. What is j rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 7*r + 4*r + 1545, 4*j = r + 2030. What is the remainder when j is divided by 248?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/15 (b) -2 (c) -69 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 21. Let l be -23*1 + 275\/55. Let i be d(l). Put 9, 0, i, -5 in increasing order.\nAnswer: -5, 0, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -4, -1.6 in descending order.\nAnswer: 2, 1, -1.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wod when three letters picked without replacement from wdwdoww?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1041 = -20*r + 921 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 9:00 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 4. Suppose 0 = n - 3*k + 9, -2*n - k - 2*k = 0. What is u(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -1.916\nAnswer: -1.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 10*n - 11*n + 4 + (n + n + 0*n)*(-3 + 2 + 0).\nAnswer: -3*n + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3\/4))**(-2\/17))**(1\/5))**(2\/41) assuming r is positive.\nAnswer: r**(3\/3485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1.1. Suppose -t - 2*t + 2*y - 3 = 0, -4*y + 9 = -3*t. Let a be (t\/7)\/(1\/(-1)). What is the nearest to -1\/2 in -3\/2, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 897, 1508, 2119, 2730, 3341?\nAnswer: 3952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 24, -1\/22.\nAnswer: -24, -1\/22, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 172360 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2128, -2126, -2114, -2086, -2036, -1958, -1846, -1694?\n\"Answer: o**3 - o**2 - 2*o - 2126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52002 - 2?\nAnswer: 52000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-324 + 324 - 72*g + 2*g**2)*(22 + 58 + 6 + 71) to the form m*g + n + i*g**2 and give i.\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o + 56*o + 3 = 0. Let w = 1 - 1. What is the biggest value in w, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/9 + 14*r\/9 + 145\/3 = 0?\nAnswer: -15, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-11\/2)\/(l*l**(-29))*(l*l\/(l**(-6\/7)\/l)*l*l)**(-1\/6) assuming l is positive.\nAnswer: l**(452\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*b - 351*b = -651 - 998 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1261\/7 or -179?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3638458 is divided by 621.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -18a17?\nAnswer: -18a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 9*f + 90. Determine o(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9406 divide 324471814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 1. Suppose 5*q - 2*w - 12 = 0, 3*w - w = 8. Let i(b) = 2*b**3 - 4*b**2 + 2*b + 4. What is q*c(o) - i(o)?\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*j**2 + 216*j**6 - 235*j**6 + 65 + 129 - 98*j**6 - 3380*j**6 wrt j?\nAnswer: -419640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 12:42 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2720, -2702, -2684, -2666?\nAnswer: -2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*f**2 + 3*f - 29*f - f**2 + 26*f.\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/16 - (-3)\/2. Let i(m) be the third derivative of -m**6\/120 - m**5\/60 + m**3 + m**2. What is i(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4, -10\/951, -2?\nAnswer: -10\/951","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14040 - 14039.99978784. Round p to 6 decimal places.\nAnswer: 0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*y + 51 = 0, 4*y - 64 = 4*i - 0*i. Let x(w) = w**3 + 3*w**2 - 4*w + 4. Calculate the least common multiple of (6\/10)\/(i\/(-130)) and x(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a**3 + 0*a**5 + 0 + 1\/112*a**8 - 2*a**2 + 0*a**6 + 0*a + 1\/8*a**4 + 0*a**7. Find the second derivative of u(y) wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*g = -27597 + 26981 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1365*h*k**3 + 4*k**3 + 4 wrt h?\nAnswer: -1365*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71093585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 6 + 24*z**3 - 130*z + 60*z - 83. Differentiate o(t) wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/57722 and 29\/1176.\nAnswer: 692664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -52, -61, -70, -79?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -8. Suppose 220 = 13*a - w*a. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/996 and -17\/1113.\nAnswer: 369516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 127 = -509. Let h = 112 - m. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + 20.98. Let k = 23.8 - m. Let x = -11.8 + k. Which is the second biggest value? (a) -1 (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 23*l**3 + 14*l**2 - 11*l + 11. Let n(o) = -8*o**3 - 5*o**2 + 4*o - 4. Let g = -26 + -265. Let k = 280 + g. Give k*n(m) - 4*p(m).\nAnswer: -4*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1444 (base 15) to base 13.\nAnswer: 1c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1606346 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 65053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 81 (c) -5 (d) 5 (e) -0.04 (f) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*j**2 + 59*a*j**3 - 2*a*j**2 + 9*j**3 + 2*j**2 wrt a?\nAnswer: 4*a*j**2 + 59*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/5 and -1.57 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 157 - 4?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5159*x**2 + 5*x + 2567*x**2 - 1 + 2*x**3 + 2479*x**2 as t + z*x**3 + w*x**2 + y*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.0618 + 0.0618. Which is the third biggest value? (a) h (b) -0.2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/20 - 8*m**2. Let z(p) be the third derivative of 0*p**3 + 13*p**2 + 0*p + 0 + 7\/24*p**4. Calculate h(z(r)).\nAnswer: 147*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*x**3 - 16*a**2 - 3*a*x**3 + 21*x**3 + 16*x**2 wrt a.\nAnswer: -2*a*x**3 - 32*a - 3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -275. Let k = x - 151. Let q = k - 67. Solve -4*d + q = -5*g, -1 = -2*d + g + 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64\/97? (a) 123 (b) 1 (c) -4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 2*p**2 + 6*p - 10. Determine x(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1214*k = -10653 - 11131 + 3680 - 6176 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**3 + 1\/4*b**4 + 0*b + 0 + 1\/40*b**6 - 2*b**2 - 3\/20*b**5. Let f(v) = 0. What is v?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/55, 4, -4.6?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -155\/563044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2973367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17191 and -40?\nAnswer: -6.8764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2913902 and 113\/165406790.\nAnswer: 2811915430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 367 and 115972.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3500797.\nAnswer: 71, 49307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 382934478 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002002002211 (base 3) in base 13?\nAnswer: 2c8534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 - 7*v**2 + 3*v**2. Let k(c) = 6*c + 4. Let n(u) = 7*u + 5. Let l(z) = 5*k(z) - 4*n(z). What is l(b(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277357927.\nAnswer: 7, 11, 157, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037280102 to three decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -76.5 - 89635925\nAnswer: -89636001.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.91 + -1.91. Let v = 3 - 0. Which is the closest to s? (a) 0.5 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109912340 a multiple of 2160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z - 1206*z**3 + 6*z**2 - 3*z**2 + 1259*z**3 in the form u*z**2 + d*z**3 + y + g*z and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4000, 4038, 4076, 4114?\nAnswer: 4152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6901730 and -16\/17254325?\nAnswer: 34508650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-13 + 18)) + (-17 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 34?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 147 = k, -5*k - 2*z - 265 + 1088 = 0. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 less than or equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqmqeumemeemeqrmmeem. What is prob of sequence emqq?\nAnswer: 49\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 10 - 2)*(10*i**2 - 10*i + 10*i + 1) - 5*i**2 - i**2 + i - 8*i.\nAnswer: -96*i**2 - 7*i - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/9001657 and 3\/1861.\nAnswer: 9001657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 - 10 + q - 9*q**3 + 10 + 11*q**3 to c*q**2 + z*q**3 + n*q + p and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(3\/24). Let r = 33155 - 33158. Sort i, 5, 0, r.\nAnswer: i, r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227365?\nAnswer: 5, 37, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 170677 and 184.\nAnswer: 31404568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fefbjueab. What is prob of sequence ubjf?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/(2\/10). Suppose 2*b - 102 + 20 = 0. Let k = y + b. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/1 + -14*18\/(-12). Suppose 2*r + x - n = 0, r - 3*x + 18 = 3*r. Differentiate -4 - r*w - 4 + 11 wrt w.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649765*q**3 + 649675*q**3 - 1299441*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01228848 to four dps.\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*i - 79*i = -2*q - 19, 0 = i - 4*q - 29 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29064 by -14532.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and 3\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -274, -542, -806, -1066, -1322, -1574, -1822?\n\"Answer: 2*g**2 - 274*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 2*a - 3. Let b be t(1). Let s be (b\/(-1))\/(2 + -1). Solve -6*o + 3*o + 13 = -2*m, s = -m - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*7*(798\/(-665))\/(28\/98)\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79600 + -31080. What is the ten thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 + 17*o**4 - 7*o**4)*(0 - o + 0).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 129318?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 324*o**2 - 216 wrt o.\nAnswer: 648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 17. Let q be w(0). What is the highest common divisor of 85 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1858, -1857, -1856, -1855?\nAnswer: -1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpk when three letters picked without replacement from {t: 2, p: 6, k: 1, z: 1, a: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 46*b - 10771 + 3171. Solve -4*l - b = -42*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000736654 to six decimal places.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 14*o**2 - 16*o - 11. Suppose -22*k - 345 = -15. Let f be h(k). Let t = -9 - -11. Put 3, f, t, 11 in descending order.\nAnswer: 11, f, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255 minus 135970810?\nAnswer: -135970809.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 9566.3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52107\/2 - 26052. Factor -27\/2*t**3 + 0 - 24*t - 36*t**2 - m*t**4.\nAnswer: -3*t*(t + 1)*(t + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*v = 7*z, 0 = -z - 4*v + 15. Suppose 0 = -3*y + 3, -7*y + 2684 = 5*q - z*y. List the prime factors of q.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76309 is divided by 2160?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 872*o**2 + 912*o wrt o?\nAnswer: 1744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740*f + 739*f = 3*x - 3, 0 = -x - 3*f + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-604)\/(-68) - 4 - 4\/(-34). Let i be (4\/(-6))\/((-2)\/60). Let n(k) = -j*k - i + 20. Let s(a) = -2*a**2. What is n(s(u))?\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 81272*s**2 + 243824*s + 12. Give n(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**2 + 7\/4*g**4 - g - 1\/3*g**3 + 3. Calculate a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 + 0*b**3 + 9*b**3 - 7*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31504*g + 1393 - 31504*g + 377*g**2 - 4462*g**2 + 3118 wrt g.\nAnswer: -8170*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 116\/14 - (-10)\/(-35). Let w be (-4)\/6 + g\/12. Suppose w = 3*s + r - 61, -7 - 5 = -s - 2*r. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {a: 14, f: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 519, 823, 1157, 1521?\nAnswer: 1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**3 + 6*p**2 - 6*p. Let f = 10753 + -10751. Let u(n) be the first derivative of 7\/3*n**3 - 45 + 3*n**4 - 7\/2*n**f + 0*n. What is 7*g(y) - 6*u(y)?\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5236 and -79\/28.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07013 + 24.07013. Are v and 269 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzbq when four letters picked without replacement from qzgqlzqqgzqgggb.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -2*o**2 - 7*o + 0 - 1\/2*o**3 + 1\/12*o**4. Let j(y) = y. Calculate j(w(f)).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**3 - 2 + 9*u**3 - 2*u**2 + 0 in the form i + j*u**3 + y*u + h*u**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1527?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-2)\/2)*1916\/5. Let f = z + -385. Find the common denominator of f and -35\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*k = -5*z + 24, -k + 11 = 2*z. Let 3\/5*w**z + 3\/5*w - 6\/5*w**2 + 0 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 607161*-0.03.\nAnswer: -18214.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i**(-1\/4)\/i*i))*i\/(i\/(i*i**(-1\/2)))*(i*(i\/i**1)\/i)**(-33) assuming i is positive.\nAnswer: i**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcllllgllg. Give prob of picking 2 g and 1 l.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.161022 millilitres?\nAnswer: 0.006161022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3\/7)*c**(2\/7)*c)\/((c\/((c\/((c*c**8)\/c))\/c))\/c*(c*c**(2\/13)*c)\/c)*(c**(-1)*c)**23\/(c*c**3*c**(-2\/13)) assuming c is positive.\nAnswer: c**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -32. Let u be ((-2)\/k)\/(5\/(-135)). Suppose 11*a = u*a + 28. Solve 0 = -4*f - 3*s + 1, f - 4*s - a = 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13096 by 5.\nAnswer: -13096\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 17*g**4\/24 - 13*g**3\/3 + 85*g**2. Is d(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*-2)\/sqrt(8) - (sqrt(44) - (sqrt(396) + -4))) + 1 + sqrt(6336) + 0.\nAnswer: -3 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -188. Suppose -3*a + 4*w = 185, -4*w - 23 - 127 = 2*a. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 45. What is the derivative of -262*r - 12*r**3 + m + 262*r wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 25, -3*y + 460 + 652 = 2*p. List the prime factors of y.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/45*-21)\/(41\/(205\/2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1234264 or 1234298?\nAnswer: 1234298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ttttffttttt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let t(w) be the second derivative of 3*w**5\/40 - w**3\/6 + w. Let g(f) be the second derivative of t(f). Give g(i(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*m + 2*k - 8 = -476*m, 4*k + 32 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5 + 0 - 2. Let v(h) = 2*h + 7 + h - 2*h. Suppose -10 = 3*l - n, -n = 3*l - 4*n. Calculate l*p(o) + 2*v(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 7) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 817.1027 nanometers?\nAnswer: 0.0000000008171027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glg. What is prob of sequence gl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {k: 4, o: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 394 = -5*u + 378, 3*m = -3*u - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 0*g + 4*o - 8, 0*g = -3*g + 4*o - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 10 - (5 - (2 + -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmzmzmmzmzmmzmmmm. What is prob of sequence zmzm?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fooofofoooofoooffoo. Give prob of picking 4 o.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113113 (base 5) to base 9.\nAnswer: 30121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (64\/(-48))\/((-2)\/168). Suppose -22*f - b = -26*f. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 5*v - 14, -31 + 16 = 5*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 29*n = 147 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20748?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 4, k: 7}. What is prob of picking 2 w, 1 h, and 1 k?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 11:02 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 18*g - 16. Let j be t(-8). Suppose j = 3*d - 68 + 23. Let n be (9\/d)\/(3\/15). Solve -3*p = -0*p - n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -31. Calculate the greatest common divisor of y and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -387, -1 in descending order.\nAnswer: 26, -1, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 14, a: 4}. What is prob of sequence arrr?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-8)\/2)*(-1 - -10). Suppose -50*z = -59*z - x. Which is the closest to -1\/3? (a) -2\/9 (b) z (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -724.\nAnswer: -2896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 11. Let s = p + 8. Let w(q) = 5499999*q - 1. Let h be w(s). Round h to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 2*x - 2*v = 0, 27*x = 27*x - 2*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Suppose -5*d + 14 = -4*d. Suppose -3*h + d = 4*k, 0*h = -4*h + 4*k. Calculate the remainder when r is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3856 - -3860. Calculate the lowest common multiple of 42 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 + -124. Suppose 1 = 5*w - 4*p, -2*w + 3*w = -3*p + 4. What is the least common multiple of h and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1553198 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 + 133491430?\nAnswer: 133491695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48195 and 4002579.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 10*t**2 + 4*t + 5. Let g be k(9). Let c be 4 + 2 - 3 - 153274\/g. Let v = -3837 + c. Find the common denominator of v and -23\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276335651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 0)*1 + -477. Let v = g - -825. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.1, -1178, 1\/5, -1\/12990 in decreasing order.\nAnswer: 1\/5, -1\/12990, -0.1, -7, -1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -784\/15 or -51?\nAnswer: -784\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-27))\/(107\/(-214))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0048 - 287.0048. Let o = -287 - u. What is the nearest to 1\/2 in 4, o, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 1, p: 2}. What is prob of picking 1 j and 1 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -77 + -26.64\nAnswer: -103.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1260 and 912555.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1135 and -8\/33369?\nAnswer: 166845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5.3. Suppose -a - 12 = -3*m, -a - 4 = -m + a. Suppose -3*w = -l - 16, -m*w + 1 = l - 11. What is the smallest value in w, -1\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 0*l - 2 - 6*l - 11*l. Let i be b(-2). Let c = i - 24. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -61 + 18*u - 64 + 125. Let w(c) = 3*c**2. Determine w(v(o)).\nAnswer: 972*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -1\/2, -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 3 - 3 - 3*x**2 + 15 - 3.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m = -1300 - 372. Let v(q) = q - 17. What is v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Suppose -5*h = -6*h + 2. Let d(q) = h + q - 2. What is d(y(l))?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9236*j + 9052*j - 5336 = 0 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*sqrt(2736))**2 + -5 + -2*(3 + (3*sqrt(2736))**2))*3.\nAnswer: -73857 - 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 3 = 10*r + 2*y, -2*r + 47336*y - 48 = 47333*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 172 + -4?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 11*l. Let q(s) = -s**3 - s. Give -c(v) + q(v).\nAnswer: -v**3 - v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1372889168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 875 - -1946. Suppose 0 = -35*p + u - 791. Solve p = l + 55 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 507 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:53 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3)*(0 + 3)*-1. Let x be (2\/3)\/((5 - -8)\/(-1599)). Is x greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(624\/546)\/(9\/(3906\/4)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, 39, 32, 11, -30, -97, -196, -333?\n\"Answer: -u**3 + 2*u**2 + 2*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17590*w**3 + 45779*w**3 + 56409*w**3.\nAnswer: 84598*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o - 2466977 + 2466977.\nAnswer: 59*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -383 - -317. What is the units digit of (-12)\/66 - 16734*4\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89005792793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 6*f**2 + 3. Let h be o(6). Let d be -4 + h\/6*4. Let p = -3 - d. Let c(v) = -2*v - 1. Let b(y) = -y - 1. Determine p*c(j) + b(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -749 + 1264. Suppose -7*n + b = -2*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**(-1\/8)\/u*u)*u)))**(-13\/5) assuming u is positive.\nAnswer: u**(-221\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > -1500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 40 = -0*c. Suppose c = -3*d + 277. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 774 = 6*p + 780, 6 = -2*p - 2*g - 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*v + 11, -8 = -0*a + 2*a + 4*v. Let p(l) = -32*l**a + 7*l**2 - 4*l**2. Let j(b) = 2*b**2. Give p(j(z)).\nAnswer: -116*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 10*h - 14. Determine t(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8137558 and 2574.\nAnswer: 73238022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194851\/15752 + 10\/1969. Calculate the common denominator of 89\/84 and z.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 5*m**2 - 7. Let p be h(-5). Let n be 48\/(-10) + p\/35. Let o(a) = -4*a + 5. Let w(v) = -v. Let t(z) = o(z) - 5*w(z). Determine t(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227 + 39. Let k = 34 + p. Suppose 378 = 5*t + i, 4*t = -0*t - 2*i + k. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i**2 + i + 13. Let b be l(0). What is the tens digit of b + ((-4)\/(-4) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9804 by -5058.\nAnswer: 1634\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 2 + 2 + (1 - 3 + 3)*(-2*s + s + 3*s) + s - 4 + 4 as a*s + y and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -3.8. Let j = -3.31 + 0.61. Let b = 2.9 + j. Is b less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001222571 rounded to six decimal places?\nAnswer: 0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a + 13, 0 = -2*w + 3*a + 6. Let r(x) = x**3 - 7*x**2 + 4*x + 3. Let g be r(w). Suppose 0 = -j + o + 225, 3*j - g = 2*j - 5*o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1\/28, 23.\nAnswer: -2\/5, 1\/28, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 215 = -336 + 1. Calculate the smallest common multiple of 8 and p.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 22*a. Let s(d) = -583*d**2 + 4835*d + 2. Determine s(c(k)).\nAnswer: -282172*k**2 + 106370*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268488.\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1394130924307 - 1.6?\nAnswer: -1.4605869075693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*t = -1, -t - 4 + 20 = 4*k. Suppose 0 = k*v - 4 - 11. Suppose o = -v*o - 8. Is -3 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16633621 + -21?\nAnswer: 16633600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 352, 385, 440, 523, 640, 797, 1000?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 13*i**2 - 2*i - 24. Let w be c(-10). Suppose g + w = 9*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/(3*(-1)\/(-3))*(-8070)\/(-269)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 801236 divided by 4.\nAnswer: 200309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 + 3*f + 730 - 107 + (1 + 2 - 4)*(-f + 2 - 2) to the form m + j*f and give m.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 5*g = -515, 3*g - g + 1573 = -1565 + 3146 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 - 163 = 2*w. Suppose -w*a + 4 = -52. Solve -3*g + 35 = a*q, -3*g + 2*q = 2*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*x - 5*x - 330 = 0, 4*i + 2*x - 316 = 0. What is the remainder when i is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45735676 a multiple of 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-14 - -8 - -24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(-1\/38)\/b)\/b)*b*b**(2\/29))\/(b**(1\/12)*(b**10\/b)\/b) assuming b is positive.\nAnswer: b**(-32981\/6612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*s**4 + 2 - 6*s**2 - 1030651*s + 5*s**2 - s**3 + 1030651*s to the form v*s**4 + h + t*s + b*s**2 + u*s**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 208 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 10) to base 13.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13227077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173606 is divided by 6944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 375981, 751913, 1127845, 1503777, 1879709?\n\"Answer: 375932*v + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*16\/20 + 1360\/816*14\/30.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t - 30. Let h be x(10). Suppose 0*q + h = 5*q. Suppose -q*n = -n - 6. Solve 0 = -4*k + 4*v + 12, 2 = -n*k - 5*v + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1214 + -1214. What is the second biggest value in 1\/9, -1\/3, v, 18\/11, 3?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = -4*l. Let x(o) = -o**3 + 2*o**2 + 2*o - 3. Let p be x(l). Let y(h) = h + 7. What is y(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2950490 to the nearest ten thousand.\nAnswer: 2950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 438801.2 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 104638?\nAnswer: -209276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = 12*b - 140 - 711. Calculate the remainder when 15981 is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-5 + 2) + -2. Suppose -2 = -10*s - 2. Suppose s = -14*n + 17*n. Solve n*c = w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q**2 + 2 - 2*q + 0*q - 5)*(20*q - 2*q - 6*q**2 + q**2) to g*q**4 + f*q**2 + z + i*q + o*q**3 and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133837, 9, 2, 8 in increasing order.\nAnswer: -133837, 2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 153, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 3763. Let y(h) = h. Calculate m(y(b)).\nAnswer: 5*b**2 + 3763","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 equal to -3818393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5\/5 + 9486*m**4\/5 + 47466*m**3\/5 + 66466*m**2\/5 + 28488*m\/5 = 0.\nAnswer: -3, -1, 0, 4748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-750)\/(-600))\/(20\/6).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 5\/3*b**3 + 8*b + 1\/4*b**4 - 5\/2*b**2 - 6. Determine c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 11*o - 56. Let j = -74 + o. List the prime factors of 2 + (-39)\/18 - 1749\/j.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 6*c**2 + 1. Let x(j) = 6*j**3 + 32*j**2 + 5. Let h(m) = -11*b(m) + 2*x(m). Let n(v) = -v**3 - v**2 - 1. Determine h(d) - 3*n(d).\nAnswer: 4*d**3 + d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 7:43 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4\/27 (b) -0.04 (c) -0.2 (d) -1\/2 (e) -0.097 (f) 0.4 (g) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1030*t - 6121 + 44231 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -506 divided by -598?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34\/11 + 16\/11. Let y be (0 + (-4)\/(-33))*86\/8. Let k = l + y. Put 2, k, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let g(k) = k + 1. Let q be g(1). Suppose v - 20 = q*m, m = 3*m. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 3*c + 1. Let p(h) = 2*h - 5. Let v be p(4). Suppose -6 - 3 = -v*k. What is the units digit of f(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -0.9161?\nAnswer: 0.082449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 - 113. Calculate the greatest common divisor of 328 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54.72 - 51. Let z = f - 3.7. Sort -2\/9, z, 1\/4.\nAnswer: -2\/9, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2014\/(-36252))\/((-4)\/(-198))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**5\/20 + 5*j**4\/12 - 5*j**3\/6 + 23*j**2\/2 + 296*j. Calculate the least common multiple of 6 and k(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 + 9*x - 7. Let r(i) = -4*i**2 + 10*i - 8. Let k(h) = 2*f(h) - 3*r(h). Let v be k(10). Suppose -2*g = 3*g - v. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 5 = -23*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 14374*t - 51652969.\nAnswer: -(t + 7187)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 2*b**2 + 7*b - 26. Calculate v(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (0 - -1) + 0. Let y = d + -14. Let m(j) = -j + 1. List the prime factors of m(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*o, l + 0 = 5*o - 2. Let u = -12 - -9. Calculate the lowest common multiple of l and (-1)\/(u\/42 - 0).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -647950 divided by -4.\nAnswer: 323975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12000223423 (base 5) to base 10.\nAnswer: -13679863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*p = 3 + 2, 0 = -5*k - 2*p - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5566*c**2 + 3*c + 1. Suppose 0 = 3*j - 12*j - 18. Is l(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5*m**2 - 4*m - 9. Let a be v(-4). Let x = -4 - a. Suppose 0*y - x = -3*c + y, 2*c - 6 = -2*y. Solve 0 + c = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/147 + 1894\/42. Let a be 3 + -1 + f\/1. Which is smaller: a or 50?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, x: 11, v: 1}. Give prob of picking 1 v, 2 x, and 1 q.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -28*x - 21 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -984 = -11*i + 7*i. Suppose -3*p + 4*h + 290 = 99, -h = -4*p + i. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2351883509 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 4. What is the lowest common multiple of 10 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33\/5 + -7. Let d = 49.9 - 50. Sort w, -0.3, d in decreasing order.\nAnswer: d, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -811 or -12184\/15?\nAnswer: -12184\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -v + 4*i, i - 2*i = 1. Let z = -26 + v. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0*o**6 + 0*o**3 + 0*o**4 + 0*o - 2\/105*o**7 - 1\/12*o**5 - 3*o**2 + 0. Find the third derivative of m(s) wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8504*y - 6 + 8504*y + 6 - 863*y**2 to u*y + f + t*y**2 and give t.\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 1:03 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -49\/8*b**3 - 9 + 69\/40*b**5 + b**6 + 3*b - 9\/2*b**2 + 3\/56*b**7 - 7\/4*b**4. Let o(k) = 0. Calculate k.\nAnswer: -12, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73*h - 32*h - 62*h - 137 with respect to h.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-64)*2)\/((-10)\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/28)*d*d**(-3\/22)*d**13*(d**(8\/5)*d*d)\/d assuming d is positive.\nAnswer: d**(25299\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 160 = v. Let l = -21 + v. Let i(c) = c**2 - c. Let q be i(0). Solve q*r + l = 2*r + 5*y, -13 = 5*r - y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -23. Let x(y) be the second derivative of 4\/15*y**6 + 0*y**2 + r - 3\/5*y**5 - 1\/3*y**3 - 1\/21*y**7 + 2\/3*y**4 - y. Factor x(v).\nAnswer: -2*v*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 37. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:36 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -701*l + 31. Let g be a(-1). Which is greater: 731 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 - 127. What is the remainder when 97 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-102)*19848\/(-88). Let j = t - 96\/11. What is the nearest to -0.2 in -3, 1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190 - 38. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 642 + 651?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 4. Let d = s - 5. Which is the third smallest value? (a) -5 (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21385 and 143?\nAnswer: 235235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67070516\/9 - 121062224554\/16245. Let l = -87715857\/39710 - v. Let x = -2212 - l. Calculate the common denominator of x and -133\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 4*i**2 - 2 + (57 - 114 + 59 - 124*i)*(-3*i + i + i).\nAnswer: 128*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 5 (c) 683 (d) -0.5 (e) 1\/3 (f) -0.1622\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ae2 (base 15) to base 10.\nAnswer: -2462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 33192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3\/3 + 56*x**2 + 11740*x\/3 + 11200 = 0. What is x?\nAnswer: -35, -3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5))**2*-6 + (sqrt(2) + -2)**2 + 5 - (sqrt(882) + 3).\nAnswer: -25*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8635 - 162 - 941 = -538*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 663\/4 + -995\/6. Calculate the common denominator of x and -22\/219.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1495 - 1448 - (28 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058227293 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*b)*(-1 - 1 + 3) + 0 + b - 5 + 1.\nAnswer: 3*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3976 - 3972. Solve 13*a - 18*a - 5 = 4*w, 0 = 5*w - g*a - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -623434 or -8104626\/13?\nAnswer: -8104626\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*b + 7427 = -6800 + 20023 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100422344 (base 5) to base 3\nAnswer: 202120011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -158*k**7\/21 - k**6\/60 + k**5\/30 - 10007*k**4\/24 + 129*k**2 + 34*k. Find the second derivative of f(w) wrt w.\nAnswer: -18960*w**2 - 12*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8505 = 2*s + k, k = -2*s + 8501. What are the prime factors of s?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -760550, -3042069, -6844602, -12168149, -19012710, -27378285?\n\"Answer: -760507*s**2 + 2*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 679074 and 108768.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/10*-2)\/(12\/10020)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/786273549 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/14)\/((-19)\/(-19)))\/((-5)\/40)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-3) + -6 + 1\/(-3). Let j(t) = t + 3. Calculate the remainder when 1\/(-2) + ((-115)\/c - -2) is divided by j(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:20 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6547262.\nAnswer: 5\/6547262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**2. Let r be b(1). Let x = 211 + -212. Sort x, r, -3 in ascending order.\nAnswer: r, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10430 and -2123.\nAnswer: 22142890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-11)\/(-110) + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*q + 9 - 19, -6 = -5*z - 3*q. Put 14, z, -4 in ascending order.\nAnswer: -4, z, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1182*d - 6*d**3 - d**3 + 1182*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t*z**2 - 218*t*z - 775*t + 5153877*z**2 wrt t.\nAnswer: 3*z**2 - 218*z - 775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 316155561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1 - sqrt(68)) + sqrt(17) - 3*1*sqrt(17).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6)\/(41\/(-123)). Suppose 5*k - 15 = -3*z, 0 = -k - z - l*z + 25. Solve k = -9*y + 14*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 913?\nAnswer: 6391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 16) in base 5?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 121*t - 242. What is n(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**2 - 2535*i + 7533. Let p(h) = -15*h**2 + 5070*h - 15033. Let g(s) = -7*a(s) - 3*p(s). Suppose g(w) = 0. What is w?\nAnswer: -848, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + i**2 + 3*i - 1. Let t(o) = -57*o**3 - 76*o**2 - 228*o + 76. Calculate 380*d(u) + 5*t(u).\nAnswer: 855*u**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 - 2*z**2 + (11*z - 2*z + 5*z + (4*z + 4*z + 6*z)*(-2 - 5 + 5))*(0 - z + 0))*(-2*z**2 + 0*z**2 + 0*z**2).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 2\/14*(-4753)\/(-147). Let f = -0.04 + -0.16. What is the third smallest value in 5, q, -5, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174311\/18 - 9676. What is the common denominator of ((-23375)\/(-240))\/(-17) - 2\/(-3) and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2. Let v = 13232 - 13228. Let x(o) = 3*o**2 - 1. Let i(j) = -j + 1. Let m(p) = i(p) + x(p). Determine v*n(t) - 3*m(t).\nAnswer: -t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = f. Let u be (f\/14)\/((-2)\/(-14)). Suppose 385 = 8*g - u*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -111001?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-9))\/(131\/2358)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(1 + sqrt(272)) + ((1 + sqrt(17))*-4 + -2*sqrt(153))**2.\nAnswer: 84*sqrt(17) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 12 + 372\/(-31)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.69 + 37.69. Let i = 0.5 - 0.1. Let g = -2 - 3. What is the fourth biggest value in f, g, i, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**1))**(12\/11)\/(c*c*c**(-8)*c*c**9*c) assuming c is positive.\nAnswer: c**(-67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4562931 is divided by 86093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1366 + -1.8634. Which is the nearest to q? (a) -2 (b) 0 (c) -0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 6*a - 6. Let z = -52 - -58. Give m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2247?\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*7\/(-12))\/((57\/(-36))\/(-19)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -608 + 608. Solve -5*y - 10 = m, 4*y + 3 = 3*l + y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:16 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 16\/3*o**3 + 7*o + 32*o**2 + 1\/3*o**4 + 0. Find y, given that v(y) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -23.96. Let t = 0.04 - m. Let p = 23\/4 + -21\/4. What is the biggest value in t, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, -0.21, -0.3, -6, 3, -2.3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j - 3*j)*((4 + 0 - 1)*(j**2 - 2*j**2 - j**2) + 8 - 8 + 2*j**2).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 11*y - 27. Let a be t(-8). Let z be 5 - (-2 + 1 + a\/(-1)). Factor 0*j + 0 + 1\/4*j**z + 1\/4*j**2.\nAnswer: j**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1774 + 2486 = 6*h. Round h to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -383*i*z**5 + 9*i*z**3 + 40940*i*z**2 - z**2 wrt z?\nAnswer: -22980*i*z**2 + 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkngnkxxxxn. Give prob of picking 4 n.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -125 (c) -41 (d) 0.2 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 1\/45*g**4 + 0 + 1\/315*g**7 + 0*g**2 - 2\/225*g**6 - 1\/150*g**5 + 0*g**3 - 4*g. Find c such that k(c) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -392\/13. Let v = 0.1 + 0.12. Let f = v + -3.22. What is the third biggest value in l, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -60, -169, -334, -561?\n\"Answer: -i**3 - 19*i**2 + 5*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -297, -594, -893, -1194, -1497, -1802, -2109?\n\"Answer: -y**2 - 294*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 20\/(-4)) + (3 - -2). Suppose -3*b = -j*b + 357. Calculate the remainder when b is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -648.5 + 353.1. Let t = b + 295. Let n = -1.2 + 0.2. What is the closest to 0 in n, t, 6\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(4\/8). Let v(d) = 286*d - r + 406*d - 105*d. Is v(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, e: 1, q: 2, p: 2}. Give prob of sequence dpqe.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let n(y) = 3*y + 2 + z*y - 6*y. Let p(j) be the second derivative of -j**3\/6 + 521*j - 1. Determine -n(o) + 2*p(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y - 26. Let f(m) = 5*m - 12. Determine -13*f(s) + 6*q(s).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 3*r - 3. Let j(o) = -7*o**2 - 11*o + 11. Let d(p) = -22*a(p) - 6*j(p). Let x = -1 + 7. Let v(w) = -4*w**2 - x + 6. Calculate v(d(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*((1 + sqrt(1008) - sqrt(1008)) + sqrt(7) + (sqrt(7) - (((sqrt(35)*1)\/sqrt(5))**2 - sqrt(7)))) + -1.\nAnswer: -49 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/12)\/(-5)*(-3)\/(-6). Factor 0 - p*h**2 - 1\/3*h**3 + 0*h.\nAnswer: -h**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 642326*f + 643823*f - 1.\nAnswer: 1497*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 4)*(-1 - 1 - 2) - 5 - 3 - 2)*(a**2 - a**2 - a**2).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33776 - -101332\/3. Which is the closest to -6\/11? (a) j (b) -2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 279 = -5*j, -3*q - 5*j - 301 + 88 = 0. Let f = -9 - q. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1 + 9 + -1. Suppose 4 = -o + 4*i - 11, -5*o + k*i - 15 = 0. Which is the smallest value? (a) 0.5 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1913*u = 1384*u - 11109 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.7 - -45. Sort d, -0.4, 0, 2\/13 in decreasing order.\nAnswer: d, 2\/13, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68112 divided by -387.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -647 - -687. What is the second derivative of 2*k + 4*k**2 - 37 - z*k**2 + 50*k**3 + 36*k**2 wrt k?\nAnswer: 300*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*q**4 - 236*q**3 + 112*q**2.\nAnswer: 4*q**2*(2*q - 1)*(3*q - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -165\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 480\/(-80) - (-3 - 14). Solve f = 2*w + a, 65*w = 63*w + 2*f - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 8, -504, -45, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5 - 5\/(-20)*4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.128472 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 6, -2, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 11. Suppose 5*c + 3*h + 91 = 0, -5*h - 95 = 5*c - 0*h. Let d = -9 - c. Let k be n(d). Solve 4*z = -5*t + 27 + 10, -t - 4 = -k*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 6 = 9*i. Let s = i - -18. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1547638\/81 - 19107. Let u = 2\/81 + v. Let x be (-3)\/(-4) - ((-2)\/8 + 0). What is the closest to -9 in x, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 2*i + 3*i + (4 - 2 - 4)*(-2*i + 2*i - i))*(84*i**4 - 80*i**4 - 98*i**4).\nAnswer: 282*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4512 + 4507. Which is the closest to -481? (a) p (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w + 15. Let v(t) = 1. Let d(o) = 2*s(o) - 6*v(o). Suppose 0 = -3*z + 50 + 22. Let x(b) = -b - 1. Give z*x(f) + d(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c + 3. Let b be 2 - (c + -1 + 1). Let g = b + 0. Do g and 4\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*f = 5*f + 3410. What is the remainder when 877 is divided by f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) 5 (c) -2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-21) - (-32)\/14. Let f be ((-4)\/(-16) - n) + 2. Put f, -3\/8, -3 in increasing order.\nAnswer: -3, -3\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/1807 in 5\/3, 1\/23, -2?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -164, -3, 0.5, 2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55 + -25387?\nAnswer: -25332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190\/1287 - -4\/117. What is the second biggest value in -0.4, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -825 - -825. Suppose 0 = 4*l - 3*u - 8, 5*l - 18 = 3*u - 5. What is the closest to -1 in l, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*l, 5*p = -370*l + 366*l + 134877. What is the ten thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 362\/7 - 1492\/21. Let w = -204 - -184. What is the common denominator of q and (5 - -2) + (w\/8)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 6. Let x be k(10). Let t(q) = 5361*q - 11. Is t(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164911 divided by -5\nAnswer: -164911\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**8\/960 + d**7\/2520 + d**6\/720 + d**5\/120 - 3*d**4\/4 - 4*d. Let r(h) be the third derivative of a(h). Determine r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 7*c**2 - 3*c + 1. Let k be 6\/(-8) - 288\/128. Let g be y(k). Sort g, -1, -3 in increasing order.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 2*l**2 - 3*l**2 + (0*l**2 + l**2 - 2*l**2)*(47 - 19 - 22).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 82.\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -182 divided by -7\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120615 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -941 - -821.8. Let s = 119 + v. What is the second biggest value in s, 3, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156081351?\nAnswer: 3, 109, 477313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:09 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqoqqnckccwkqkqq. Give prob of sequence cwkn.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 11*g**2 - g + 16. Let f be h(11). Solve 0 = -f*t, 3*t + 0 = 2*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.34714528 rounded to zero decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 f when four letters picked without replacement from {r: 6, d: 2, f: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -23*x**3 + 13 - 18 - 8*x + 7*x. Let o(k) = -k**3 + 1. Let j(l) = -a(l) - 2*o(l). Is j(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 4284?\nAnswer: -171.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -1\/300*d**6 + 0*d**3 + 0*d + 0 + 1\/336*d**8 + 0*d**5 + 1\/350*d**7 - 4*d**2 + 0*d**4. Factor b(n).\nAnswer: n**3*(n + 1)*(5*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-486*d + 10322*d + 1103*d)*(4*d + d - 2*d).\nAnswer: 32817*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 155 - 1305. Let x = -210 + m. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 + 180. Suppose -6 + 2 = -f. Suppose 5*v - 89 = -z, 5*v = f*z - z - 307. What is the greatest common factor of l and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 5, -4, -5, 56 in decreasing order.\nAnswer: 56, 5, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojojjjjjjjjjojjjjj. Give prob of picking 1 o and 1 j.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)\/x*x)\/(x**(1\/2)\/x*x*x))\/(x**(2\/9))**(3\/11) assuming x is positive.\nAnswer: x**(-35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/13)\/(j*j**(4\/3)*j) assuming j is positive.\nAnswer: j**(-136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 54041960 * 0.5\nAnswer: 27020980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 3. Let n be v(-6). Suppose n*p + 0*w + 2*w = 1, 4*p - 1 = -3*w. Let d be (-34)\/(-1275)*6\/(-10). Is p greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6786 is divided by 2653.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 4*t + 5. Let r be l(-2). Let a(c) = -c**3 + c**2 + 4*c - 1. Let s be a(3). Let o = s - r. Let x(d) = -2*d + 3. Calculate x(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42375 - 42376. Suppose 3 = 4*n - 13. Which is the nearest to n? (a) -3\/4 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -346*q - 356 + 72 - 347*q + 708*q to the form y + a*q and give y.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*4\/(-2). What is the least common multiple of (32\/(-40))\/(t\/(-25)) and (110\/(-5))\/((-1)\/1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -682, -719, -816, -1003, -1310?\n\"Answer: -5*j**3 - 2*j - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.8 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -43*v**3 + 1362*v**2 - 1328*v + 9. Let w(b) = 10*b**3 - 340*b**2 + 332*b - 2. Let k(c) = -2*q(c) - 9*w(c). Let k(p) = 0. Calculate p.\nAnswer: 0, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 122*r + 120.\nAnswer: 2*(r - 60)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 506201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-4 - -6 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 - 2*c**2 - 2*c - 1. Let i be d(-1). Suppose 0 = w + i, -h - 3*h + 5*w + 20 = 0. Let o = 475 - 473.3. Which is bigger: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232628578 - -47956.\nAnswer: -232580622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 69 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x + 1. Let i be 18\/120*x\/(-3). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.6 + -26. What is the third smallest value in 1\/3, u, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45964 or 45966?\nAnswer: 45966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 11, -44, -3\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*p**2*z**3 - 6*p**2 - 184*z**3 wrt p.\nAnswer: 8*p*z**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000858287475 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 7*x**2 + 3*x - 6. Let z be d(-6). Calculate the common denominator of -4 - (-9)\/(81\/z) and 16\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3372860986 - 2*f + 384*f**3 + 2*f - 3372860986.\nAnswer: 384*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27218213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3035821892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 7*t**2 - 7*t. Let l = -97 + 92. Calculate m(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(17))*6 + -5*(sqrt(17) - sqrt(153)))**2.\nAnswer: 384*sqrt(17) + 4496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**5 - 44731*p**4 + 176715829*p**3 - 298598185787*p**2 + 184178972407067*p + 46063408249738 = 0?\nAnswer: -1\/4, 2123, 4814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8946 - -9453. Calculate the highest common divisor of t and 1677.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 19 = -7. Let j be -3*(5\/(-3) + 1). What is the derivative of g*h**2 - j*h + 2*h + 1 wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1922 and 87668.\nAnswer: 2717708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 986246, 1972489, 2958732?\n\"Answer: 986243*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 119598 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -5, -0.03, 42?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10857 is divided by 299?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in 2, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let i(d) = -3*d**2 - 3*d - 3. Let o = 7 + -9. Let k be (5\/o)\/(1\/2). Let u(a) = 7*a**2 + 5*a + 5. Let x(q) = k*i(q) - 3*u(q). Give x(z(t)).\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 3}. Give prob of sequence hj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62558, -125113, -187664, -250211, -312754?\nAnswer: -375293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - g + 1. Let f be o(-3). Let n = f + -11. Suppose -l + 28 = 4*l + 2*m, -8 = -n*m. Solve 2 + 15 = k + l*p, k + 2*p - 7 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3012, -4335, -5658, -6981, -8304?\nAnswer: -9627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 10:28 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**3 + 7*b**3 - 4*b - 47*b**3 + 7*b**3 wrt b?\nAnswer: -228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 720355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10010.\nAnswer: 2, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316548511.\nAnswer: 173, 7610107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150588435 is divided by 18823554.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**7\/126 + a**6\/18 - 1209*a. Suppose v(r) = 0. What is r?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5*f = -3*l - 51532, 4*l - 5*f - 68721 = 0. List the prime factors of l.\nAnswer: 41, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3870962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (3 - -9) + -3 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.46695 nanograms in kilograms?\nAnswer: 0.00000000006646695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 52 = 4*z, -1697*z - 12 + 55 = 3*p - 1696*z for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/2 + 47*r**2\/2 + 36*r + 14.\nAnswer: (r + 1)*(r + 14)*(3*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 7257.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5023, -5022, -5021, -5020, -5019, -5018?\n\"Answer: r - 5024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(-1\/4))**(10\/11)*(s*(s\/s**(-2\/3))\/s*s*s)**(-10))**(-2\/105) assuming s is positive.\nAnswer: s**(41\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhsaysahcjhhjhhca. What is prob of picking 1 h and 2 j?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -149.\nAnswer: -1639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + 249\/(-12). Let f be (-6)\/g + 38\/14. Suppose f - 47 = -4*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 178*v**2 + 35 + 209*v**2 - 365*v**2. Let j(l) = 51*l**2 + 33 + 72 + 14*l**2. Let q(h) = 6*j(h) - 17*z(h). Find the first derivative of q(k) wrt k.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1606, 3420, 5234, 7048, 8862?\nAnswer: 10676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 110*v - 270*v - 201*v - v**2 - 2 + 2 + v**2 + (-1 + 2*v + 1)*(0 - 2*v + 0).\nAnswer: -4*v**2 - 361*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -41*v**3 + v**2. Give z(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21755105 to the power of 1\/2, to the nearest integer?\nAnswer: 4664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134 + 59. Calculate the remainder when 58\/6*(96 + u) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -828, 1\/8, -5, 31, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64629 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 - -100. Let b = j + -166. Let s = 0 + 17. What is the highest common divisor of s and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*r, -8*w + 3*r - 4770 = -11*w. Is w 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 qqkqkq. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*f + 70, 32 = 5*u + 12. Let i = -4514\/9 - -500. Calculate the common denominator of 49\/f - 12\/18 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/10 + x**2. Suppose 3*t = -4 + 1. What are the prime factors of n(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3814644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*t + 24*t + 23*t)*(-t + 2 - t + 0*t) - 4*t**2 + 2*t**2 - 2*t**2.\nAnswer: -10*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/10*(-10)\/(-2). Let h = -4 - -7. Suppose h*n + 2 = 11. Solve -n*y + 20 = -l*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 423*o**3 - 149*o**3 - 16*o - 136*o**3 - 18*o**4 - o**2 - 137*o**3 in the form r*o**2 + d*o**4 + k + h*o + f*o**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 4. Suppose 2*q = 5*h - 317, -2*h - x*q + 65 = -59. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 - 8*c + 5.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 765394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -692754278 - 2.6\nAnswer: -692754280.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 0 - 717*f**2 + 3 - 7*f + 718*f**2. Let g be y(7). Suppose g*x + x = 152. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 7*w**2 - 7*w + 8. Let j be r(-8). Suppose j = -4*o + 2 + 6. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2377758.\nAnswer: 2, 3, 396293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-52)\/14 - 20\/(-70)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466293.\nAnswer: 3, 17, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11883*n + 712964. Calculate g(60).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-6))\/(2\/152). Let w = 1 + 1. Suppose 3*j + 5*o = 20, -w*j - j + 4*o + a = 0. 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 t(q) = 2691*q - 40. What is the units digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1498608171 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*y + 27, -1 = -c - y + 1. Sort -4, c, 5 in decreasing order.\nAnswer: 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 5*k = 6. Let m(o) = 3*o**k + 8 - 11 - 2*o**2. Suppose 2*w + 0*g - g = -3, -w + 5*g = -12. Give m(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = d + s - 648, 0 = 3*d - 4*s - 1241. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/16)\/(3*(-6)\/108)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/60 - c**4\/24 + 3*c**3\/2 - 26*c**2. Determine r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18238653?\nAnswer: 3, 2026517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14736*a**2 - a**3 - a**3 + 3508*a + 3726*a + 14734*a**2 + 1.\nAnswer: -2*a**3 - 2*a**2 + 7234*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 6. Suppose -7*j - 46 = m, 101*m + 3*j + 18 = 100*m. Solve 2*n = 2*d + 2, -n - 2*n = m*d - x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-240)\/39)\/10)\/(-4))\/(-2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*-2*sqrt(175) + -5 + 0 + -1 + sqrt(112) + (sqrt(147)\/sqrt(12) + sqrt(49))\/sqrt(7))**2.\nAnswer: 539*sqrt(7) + 17291\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*4)**2 + -2 + 2 + 4 + sqrt(5).\nAnswer: sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 - -3. Which is the nearest to t? (a) -2\/5 (b) 0.1 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - u**2 + 2*u**2 - 4*u**2 + 3*u**2 + (0 + 0 - u)*(3*u - u - 4*u) + 2*u**2 - 7*u**2 + 3*u**2 + 5*u**2 - 2*u**2 - u**2 + 2 + u**2 - 2*u - 2.\nAnswer: 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 9*w**3 - 18*w**2.\nAnswer: -w**2*(w + 3)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2 + 2*k + 1. Suppose 0 = 4*i - 10 - 6. Let r be (-1)\/i*2*2. What is h(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(539) + sqrt(539)*-1 + sqrt(539) + sqrt(539) + sqrt(539)*-5 + -1)*1)**2.\nAnswer: 252*sqrt(11) + 4887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*r**2 + r**2 + 3 - 5 + (-1 - 2 + 1)*(r**2 - 2*r + 2*r) - 2*r**2 - r**2 + 2*r**2 - 14*r**2 + 6*r**2 + 4*r**2.\nAnswer: -20*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 3157434.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 27652\/20)\/((-12)\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = -5*r, -4 = -i + 2*r + 2. Let h be i + 0 + (-2 + 1)*-1. Solve 3 + 6 = h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*l**2\/2 - 1483*l + 57109\/2.\nAnswer: (l - 23)*(21*l - 2483)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(76)*-1 + sqrt(76) + sqrt(76)*-1*1)\/(-2*sqrt(36) - sqrt(36)*2).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m**2 - 2*m + 11. Let r(v) = 7*v. Calculate r(n(u)).\nAnswer: -105*u**2 - 14*u + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 - v**3 + v**3)*(0*v + 4*v - 3*v) + v**4 - 2*v**4 + 4*v**4 to g*v**3 + c + a*v**2 + k*v + h*v**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ullchuluuclchulcc. Give prob of picking 2 c and 1 u.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/(-62)*(372\/10 - (-740)\/(-37))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155808839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67382 rounded to the nearest 1000?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/4900*20 - 0\/(-1*3 - -1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234\/11*f**2 - 2214\/11 + 1458\/11*f - 2\/11*f**3 = 0. What is f?\nAnswer: -123, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*a + 4*a - 3 = 0, -3*a = -4*c + 23. Suppose -4 = c*o + d, 0 = -4*o + 9*o + 5*d + 15. Let z be 19 - (o - 0) - -3. Is 23 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120203152 rounded to 3 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 5)\/51 - (-1)\/5.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v + 3. Let d = 1 - v. Suppose -c + 4 + 3 = d. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1314*w**3 - 4*w**2 + 64*w - 62. What is the remainder when q(1) is divided by 358?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + -4.01. Let z = 10.81 - -0.19. Let r = t + z. Are r and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*l = -2995, 1992 + 404 = -4*m - 3*l. Let d = -412 - m. Suppose n - 66 = d. What are the prime factors of n?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 2.0980291272.\nAnswer: -2.2980291272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 115509 + 57752 + 819*i**3 + 57758)*(3*i - i - 4*i).\nAnswer: -1638*i**4 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 43321304 (base 5) to base 9\nAnswer: 623737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 383.1 + -385.1. Put -1\/3, j, -690 in decreasing order.\nAnswer: -1\/3, j, -690","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0110932 to 4 decimal places.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1996\/15 + -34942\/105. Let a = d - -2878\/21. Let x = -62 - a. Is 1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 less than -1926\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 808648876 to the power of 1\/2, to the nearest integer?\nAnswer: 28437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 271, 263, 251, 235, 215, 191, 163?\n\"Answer: -2*j**2 - 2*j + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 3*u**2 - 4*u + 4. Let v be k(-4). Let z = v - 25. Suppose 401 = 4*r - z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 5*d**5 + d**5 + (4*d + 4*d**2 - 4*d)*(-3*d**3 + 5*d**3 + 2*d**3).\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1829508*c**3 - 2036*c - 1587?\nAnswer: -10977048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -176 + 204. Let m(g) = 5*g - 10. Give m(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 633.82887 microseconds?\nAnswer: 0.000000176063575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -552*n + 3342 + 201 + 14121 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-481)\/(-1110)*(-159)\/689?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44850 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**5 + 57*h**4 + 336*h**3 + 576*h**2 = 0?\nAnswer: -8, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182410072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/3, 2, -6, 28427 in decreasing order.\nAnswer: 28427, 5, 2, 2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.459 - 0.459. Which is the nearest to f? (a) -1 (b) 7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*r**5 - 3*r**4 - 24*r**2 - 6749*r wrt r?\nAnswer: 1960*r**3 - 36*r**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 563 - 357. Let w be 26\/807*c\/(-4). Let i = w + -2\/269. Which is bigger: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17489 and 9.1.\nAnswer: 17498.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o**3 - 6*o**2 - 4*o + 5. Let v be l(-3). Calculate the greatest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = 9 - 1. Let u be (-28)\/119*f\/10. Let q = 0.3 + 2.7. Sort q, 0.5, u in decreasing order.\nAnswer: q, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*j + 70. What is the common denominator of -67\/22 and j\/6 + 1 - -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbtbtlbbp. What is prob of picking 1 b and 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131701.\nAnswer: 3, 11, 13, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 36. Let c = 28 + d. Let k(a) be the first derivative of -a**3\/3 + 2*a**2 + a - 1. Let u(q) = -2*q**2 + 5*q + 1. Determine c*u(y) - 5*k(y).\nAnswer: -3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -6612806.\nAnswer: -1\/6612806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6415 + -672?\nAnswer: 5743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2. Let j(o) = -8*o**2 + 183*o + 1. Give j(b(t)).\nAnswer: -8*t**4 + 183*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -747 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42185491.\nAnswer: 19, 2220289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 78)\/((-3)\/(-6)). Let r = a - 101. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1141 (base 5) to base 12\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2\/5 - 148*x\/5 - 1144\/5 = 0. What is x?\nAnswer: -26, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 2*i - 1. Let x be d(2). Let b = -6 - -3. Let c = b - x. Which is greater: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6*b - 3 = 0. What is the nearest to 1 in b, 10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 574988 - 575033 = 3*n, 3*r + 2*n + 23 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*i**3*k**2 - i**3*k*n + 7*i**3*k - 9*i**2*n - 4*k**2*n - 1 wrt k?\nAnswer: 450*i**3 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - w = 5, -z - 4*w - 15 = -0*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**5\/20 + d**4\/3 + d**3\/2 - 3*d**2\/2 + 9*d - 1. Determine m(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56971 (base 11) to base 16\nAnswer: 141b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19167 + 19394. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -13, -5496\/7, 2\/29, -2 in descending order.\nAnswer: 0.5, 2\/29, -2, -13, -5496\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*4 + 5*sqrt(66)\/sqrt(6) - -1*(2 + 2*sqrt(539) - sqrt(539)).\nAnswer: 2 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 583446?\nAnswer: 1750338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4\/13 + 13294*w**3\/13 + 4969308*w**2\/13 - 7477234*w\/13 + 2494628\/13 = 0. Calculate w.\nAnswer: -2894, -431, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -149*b - 681 - 498 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8619 is divided by 4308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 - 2*r**4 + 2*r**4 + r**5 - 5*r**4 + 5*r**4 + (0*r + 2*r - 3*r)*(-r + 4*r**4 + r) + (34*r**5 + 120*r**5 - 6*r**5)*(-4 + 5 - 2).\nAnswer: -150*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 60.5. Let o be (0 - -3) + 10\/(-4). Sort -5, l, o.\nAnswer: -5, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Let v(u) be the third derivative of 0*u**b + 1\/480*u**6 - 1\/120*u**5 + 0*u + u**2 + 1\/96*u**4 + 0. Suppose v(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/16, -0.1, 0.9, 1\/2.\nAnswer: -0.1, 3\/16, 1\/2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7786, -16549, -25314, -34087, -42874, -51681, -60514?\nAnswer: -69379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3136)\/2304)\/(-49))\/(11\/165)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -587 in -4, 5, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (31\/(-10))\/((-30)\/225) and 47\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194104053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*v**2 + (12 - 12 + v**2)*(6 - 1 - 2) + 3*v**2 + 2*v**2 - 2*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 210509 and -422?\nAnswer: -88834798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 - 1 - (90 - 94))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 461 in -4, -0.1, -0.0467, -31?\nAnswer: -0.0467","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 12*p + 3*p + 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 8*f**2 + 4*f - 27. Let r be z(8). Suppose -r*w + 762 + 318 = 0. Calculate the highest common divisor of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38915 is divided by 423.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 115430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/39 - (-6)\/(-39). Suppose -20 + 18 = r*k. Let w be ((0 - 0)\/(-2))\/k. Solve w = -3*s + 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*j + 3*v - 34, -2*j - 25 = -3*v. Let k = j - -27. What is the remainder when k is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:54 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(6*1\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 6192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 32*j + 1494. Let x(g) = -6*g - 299. Calculate -2*m(o) - 11*x(o).\nAnswer: 2*o + 301","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36000*1.\nAnswer: 36000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.9 (b) -0.4 (c) 1\/3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjlnwjcenne. What is prob of sequence wn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (52 + -62 - ((-8 - 2) + 1)) - 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.62, -3, -1\/3 in ascending order.\nAnswer: -3, -1\/3, 0.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/622710 and 169\/13284480?\nAnswer: 39853440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011111111000 (base 2) in base 5?\nAnswer: 144021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/648 and 101\/1809702.\nAnswer: 7238808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1298 - 1293. Let r = 148.2 - 148. Which is the smallest value? (a) 3 (b) -0.05 (c) u (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-48)*(-4)\/(8\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15020 and 57209678?\nAnswer: 572096780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 109009377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -208, -310, -410, -508, -604, -698?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 4:31 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532 = 218*c - 199*c. Calculate the highest common factor of 160 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 - -135. Calculate the greatest common divisor of 110 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 40847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25185 divided by 23\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + c - 1093, -8*c = -19*p - 13*c + 4145. What is the highest common factor of p and 560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -3. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2337 - 490. Let h(g) = -n*g + 919*g + 929*g. Let k(t) = -12*t**2 + 2. Give h(k(y)).\nAnswer: -12*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1970 + 15751\/8. What is the biggest value in -0.024, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 408111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 + 32*c**3 - 2048*c + 8192.\nAnswer: -2*(c - 8)**3*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105 + 242?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.308 + 282.308. Let r = d + -285. Let o = 211\/4 - 53. Which is the third smallest value? (a) o (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-740)\/11655*(-9)\/(-12) - ((-10)\/(-42) - -4)\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfjflffljffwfjfljjff. Give prob of sequence wwff.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -447*k + 1. Let n(t) = -446*t + 2. Give 4*n(a) - 5*w(a).\nAnswer: 451*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)\/p**(-2\/33)*(p\/((p\/((p\/p**1*p*p)\/p)*p)\/p))**(-35\/3) assuming p is positive.\nAnswer: p**(-1171\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2363779 is divided by 2363540.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -143 (c) -1\/6377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31473.27ug in grams?\nAnswer: 0.03147327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**9)\/(c\/((c*c\/(c*c*c\/(c*c\/(c*c\/(c**(1\/17)\/c)*c))*c))\/c*c*c)*c)*c**(9\/4)\/(c\/c**(-2\/23)))**44)**(-11\/4) assuming c is positive.\nAnswer: c**(2039697\/1564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056675 to five decimal places.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(sqrt(847) + -1) + sqrt(847) + 4)**2.\nAnswer: -176*sqrt(7) + 3404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3208655*w**2 + 3208746*w**2 - 2*w + 2*w.\nAnswer: 91*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*s = -184*s - 18 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1902 or 68628?\nAnswer: 1902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -9*o + 660. Let v be 2*(4 + 2)*2\/o. Solve v*d + 6\/11 - 10\/11*d**2 = 0.\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/((s*s**(3\/8))\/s)*s*s\/s**(-3\/4))\/(s*s**1*s*s*s)**(2\/17)*(s**(1\/2)*s**(3\/8)*s*s*s)\/(s\/s**2)**13 assuming s is positive.\nAnswer: s**(1473\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/3*27\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -10, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-25)\/(-15) - (-14124)\/18. Calculate the greatest common factor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -0.4, -15, -0.3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 314213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16954*p - 16970*p = 48 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 61.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.9 + 13. Let u be (-94)\/16 + (-18)\/(-3). Which is the fourth biggest value? (a) 2 (b) u (c) 0 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.57444756 + -10.77444913. Let m = t + -5.8. Round m to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:36 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 15 = 4*l. Let b(m) = 6*m**2 + 7*m - 13. Let a(d) = 5*d**2 + 7*d - 12. Let k(y) = l*a(y) - 4*b(y). Calculate k(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**3 - 5*u**2 + 5*u + 5. Let f(o) = -6*o**3 - 8*o**2 + 8*o + 8. Let h be 16*(1 + 6\/4)\/(-5). Calculate h*n(w) + 5*f(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 18790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-151 + 28 - 290)*(-x - 2*x + 4*x) + 9*x - 2*x - 24*x + (-1 - 1 + 4)*(-2 - x + 2) as q*x + w and give q.\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9824936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 152*n**3\/3 + n**2\/2 - n. Suppose -4*c + 10 - 2 = 2*s, c + s = 3. Is i(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**3 - 4*b**2 - 2. Let i(a) be the first derivative of -a**3\/3 - a - 804. Determine -d(o) + 4*i(o).\nAnswer: -6*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 886 + 134. Suppose -o - o = 2*m + 292, -o = 5*m + 134. Let j = o + t. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 807*v**3 - 368.\nAnswer: 2421*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.27 - -1.14. Let d = 9 + -8.91. Let f = u + d. What is f rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 + 104. Solve 2*h = 5*b - o, 3*h + 3*b + 2*b - 22 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/27)\/(-2*2\/(-4)). Suppose 0 = -4*x - 3*y + 23, 2*y + 18 = -p*x + 4*x. Suppose -6*a + 127 = -x*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-6))\/(377\/(-156) + 2) - 8?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-138)\/(-24) + -5 + (-482)\/(-40). Let z(g) be the first derivative of -4\/15*g**3 - y*g - 6 + 16\/5*g**2. Solve z(c) = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2250043302 + 0?\nAnswer: -2250043302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -4\/167, -0.4, 3\/5 in descending order.\nAnswer: 3\/5, -4\/167, -0.4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (22 - (-3 + -4 + -6 - -4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 3*f + f + (-f + f + 2*f)*(-3 + 1 + 0) + 2 - 2 - 2*f + (-2 + 1 + 3)*(f - 2*f + 0*f) - 20*f - 100 + 100.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5904.5 + -5904. What is the closest to -1 in n, 0, -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slmmzmmzsmsmz. Give prob of picking 2 m, 1 s, and 1 z.\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -294 + 290. What is the nearest to 0.1 in 3, 24, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11513646 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1812*n**6 - 41*n**2 + 6*n wrt n?\nAnswer: -217440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -2*(sqrt(117)*2 - sqrt(117))) + sqrt(117))\/(sqrt(9) - ((1*sqrt(576) - sqrt(576)) + sqrt(576))) + (1 + (sqrt(832) + 4)*1)**2.\nAnswer: 556*sqrt(13)\/7 + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xauwuaauawxwuoxwaaxu. Give prob of sequence uw.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, r: 3, w: 1}. Give prob of sequence ow.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 1525 = 51*c - 1195 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 18 = 3*g, 4*g + 22 = c - 0*g. Solve c*k = 2*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrz. Give prob of picking 1 z and 1 r.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 times -0.07?\nAnswer: 33.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**4*p - 3*a**3*p**3 - 14*a**3*p**2 + 12*a**2*p**3 + 12*a**2*p wrt a?\nAnswer: 72*a*p - 18*p**3 - 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7349 + 14130. List the prime factors of t.\nAnswer: 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1\/3 (b) -155.8 (c) 0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*i - 320*i = -4*j + 27, -29 = i - 5*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6552 divided by 28.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10959*g + 2365*g + 41337 = -584891 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 9) in base 13?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12*1\/2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79 + 1?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/32014 or 0?\nAnswer: -1\/32014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 29*r - 2 - 14*r + 18*r.\nAnswer: -25*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssssssssssssksss.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 739 divide 835809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**5 - 184*b**4\/5 - 384*b**3\/5 - 288*b**2\/5 - 32*b\/5.\nAnswer: -2*b*(b + 2)**3*(15*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11088 + -33575\/3. Let t = g + 105. Factor -8\/3 + 1\/3*k**3 - t*k + 2\/3*k**2.\nAnswer: (k - 2)*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/27258 and -43\/2274.\nAnswer: 10330782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -93. Let y = i - -8. Let r = y - -61. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.33092 plus -0.3?\nAnswer: -53.63092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvuvruuvvurruuvvuuv. What is prob of sequence ruu?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1910849 is divided by 6349?\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:05 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -4. Let y(w) be the first derivative of -w**4\/12 - w**3\/2 + 2*w**2 + 3*w + 3. Let g(k) be the first derivative of y(k). Calculate g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1\/4, 3\/11, -0.2, -6\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**2 - 1. Suppose -2*q = -4*x - 40, 5*x + 0 = -2*q + 4. Let z(c) = 18*c - 8*c - q*c. What is z(s(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15383, 15385, 15387, 15389, 15391?\nAnswer: 15393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 2, 50, 20 in ascending order.\nAnswer: -3, 2, 5, 20, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*q + 22, 2*q + 4*i = 2*i - 4. Solve 16 - 12 = -q*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p + 5*p - 3*p**2)*(-13 - 125*p**2 + 243*p**2 - 120*p**2) to t*p**4 + m + u*p**3 + r*p + q*p**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 13*l - 7. What is m(11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -433?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2)\/(-1*2). Let h = -1 + w. Does 25 divide h\/(-4) - 3032\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -129336 + -2021?\nAnswer: -131357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.5 + -0.5. Let i = -19.7 + u. Which is the smallest value? (a) i (b) -5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -0.349?\nAnswer: 4.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 734 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11687 - 1?\nAnswer: -11688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Solve -2*p + 21 = 4*v - v, -20 = -r*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h**4 + 80*h**3 - 20*h**2 - 71*h + 18. Let x(l) = -3*l**4 - 20*l**3 + 5*l**2 + 18*l - 4. Let b(k) = 2*v(k) + 9*x(k). Factor b(q).\nAnswer: -5*q*(q - 1)*(q + 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - (-4)\/12. What is the nearest to 1\/4 in -0.1, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t + 5 + 7 + 8 - 4.\nAnswer: -26*t + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 273*m - 1914. Let l be p(7). Suppose f + 3*h + 0 = -2, -5*f = -h - 22. Put -1, l, 5, f in increasing order.\nAnswer: l, -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 641533363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 3*s**5\/20 + 50*s**2 + 2. Let w(a) = a + 1 - 1. Give w(p(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68880855 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 3*g + 4. Let z be r(0). Suppose -368 = p + 4*o, -z*o = 5*p + o + 1900. Let i be 2\/14 + p\/(-56). Solve i = h - 4*s, -h = s - 1 - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 627*f**2 - 2. What is the units digit of c(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -3 (b) -19\/44 (c) 1 (d) 21 (e) 0.4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -2.4?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (480\/70 + 9)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5818107\/710 + 16389\/2. Is -1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 5 - -51) + 6 + -8 + 3 + 14\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 - ((-4)\/1 - 0) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 15*m + 2. Let j(l) = l**2 - 9*l + 1. Let q(c) = -2*j(c) + x(c). Let k be 1*-5 + -3 + 4. Determine q(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 0*u - u)*(0 + 1 + 0) + 3370*u + 2 - 3455*u - 2 to the form o + i*u and give i.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5376.16748 minus 355408?\nAnswer: -360784.16748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414 divided by -85722.\nAnswer: -69\/14287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {y: 4, w: 4, l: 7, j: 3}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 67284 = 12*z. Is z a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 at most as big as 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (40510 + 45)*(3 + -7)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43780, -44181, -44590, -45007, -45432, -45865, -46306?\n\"Answer: -4*b**2 - 389*b - 43387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(108) + sqrt(108) + 4 - 4*(sqrt(108) + 0))*6)**2.\nAnswer: -3456*sqrt(3) + 16124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32640839 and 1732?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i*i**7*i*i)))**29\/(i**(4\/11)\/i**(-1\/20)) assuming i is positive.\nAnswer: i**(70089\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.05084596 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o + 16. Let j be t(0). Suppose -j*n = 15 - 95. Suppose -p + 189 = -i, n*i = -5*p + p + 756. What is the greatest common factor of 21 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2 - 24823236*y + 148939560 = 0.\nAnswer: -6205815, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 - 252.347. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - sqrt(5))*-1 - (-1*sqrt(5) + -4))**2 - (sqrt(5) - (-1 + sqrt(500) + sqrt(500)) - 6*(sqrt(5) - (1 + sqrt(5) + sqrt(5)))))*2.\nAnswer: -6*sqrt(5) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 12. What is the units digit of f(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26\/63 + 4\/21. Let j = 5\/4 - 1. Which is the nearest to -0.3? (a) -3\/2 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1479*d - 212850 = -1221*d + 3999*d for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -349*g**2 - 18*g - 35 wrt g.\nAnswer: -698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 11) to base 9.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81324 - 14344 = -985*h for h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201101000 (base 3) to base 8.\nAnswer: 33451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 + 185*j**4 + 1 - 5 - 181*j**4 wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/7 or -1.161?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -12, -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5006681 to the nearest integer?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/17)*g\/(g*g\/(g*g**0\/g)*g*g)*(g**(6\/5)*g)\/(g**(-4)*g) assuming g is positive.\nAnswer: g**(197\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022001221 + -220002?\nAnswer: -1022222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-72)\/9)\/(207\/(-12) + 17).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = n - 12, -60 = -5*n + 2*w. Suppose -t = -2*v - 16, 4*v = -2*t + 2 + 38. What is the lowest common multiple of t and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 637648 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12 and -5\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 6:03 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**3 - 969*o**2 - 38880*o + 19683.\nAnswer: -3*(o + 81)**2*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -1234468 + 61066. Let b = o - 3491134. What is b rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + 7. Differentiate w*z + 30*z + 14*z - 8*z + 108 wrt z.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) 0 (c) -3\/5 (d) -6 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = -2*c, 3*c - 8 = 7*q - 3*q. Let n(h) = 419*h**2 + 8*h + 18. Is n(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931067133?\nAnswer: 3, 47, 6603313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 519970411 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 + 24 = 0. What is the third derivative of -18*a**2 + a**2 + c*a**6 + 2*a**6 - 19*a**6 wrt a?\nAnswer: -1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 11:35 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.3 + -16.274. Let w = p + -0.026885. Round w to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -27, -2\/5, -1, 18\/83?\nAnswer: 18\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 3*w**2 - 3*w + 3*w**3 + 0*w**2 + 4*w to z + g*w**3 + u*w**2 + y*w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 14, 32, 58, 92, 134?\n\"Answer: 4*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 3*a + 57, 614*i = 589*i - a + 91 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (242 - 261 - (-24 - 2)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17010 divided by -1.\nAnswer: -17010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/1436 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/7*2 + 522\/63. Suppose -l + 54 = 2*l. Calculate the lowest common multiple of l and (13 + -1)*(-1)\/(g\/(-4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:51 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -785*d. Let r(l) = 34*l**2 - 2*l + 645. Determine r(p(g)).\nAnswer: 20951650*g**2 + 1570*g + 645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 0.2, 142, 1?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 62809390.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 less than 5?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**3 - 2. Let v(s) = -11*s - s**2 + 4*s**2 + 11*s. Determine v(l(b)).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 5*f - 5. Let k(u) = -u**2 - 2*u + 12. Let d be k(-4). Let t(n) = d - 5*n + 2 - 2*n**2 - 3*n**2 + 3*n**2. What is 7*r(o) + 6*t(o)?\nAnswer: 2*o**2 + 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**2 - 970*k - 1920 = 0?\nAnswer: -192, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - 1021?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -168, -316, -426, -480, -460?\n\"Answer: 3*s**3 + s**2 - 172*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(6))\/sqrt(6) + -1 + 3.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 0.085, 21\/5, 87, -2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/33 and 77\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*b. Suppose b = -0*k + 2*k, -a + 1 = -3*k. Suppose -z - x = -4 - 10, 5*x = 5*z - 20. What is the highest common divisor of a and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, w: 2, m: 3, d: 5, g: 4}. Give prob of sequence mgdm.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 881*y**2 - 3860*y - 11. Determine a(2).\nAnswer: -4207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 1, k: 1, t: 2}. Give prob of sequence jk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -75 - (-5 + 4). Let g be (-8)\/(-32) - (-2850)\/(-40). Let t = g + n. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3*(b\/((b*b**(10\/3)\/b)\/b))\/b assuming b is positive.\nAnswer: b**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.042 - -0.258. What is y rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**5 + z - 2*z + 2*z**5)*(12 - 12 + 5).\nAnswer: 15*z**5 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(162)*-1 + -4 + (sqrt(162) - (sqrt(162) + 4 + sqrt(162) + sqrt(162)*-4 - sqrt(162))) + -1)**2*-1.\nAnswer: -648*sqrt(2) + 2988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbc when three letters picked without replacement from {e: 1, b: 2, g: 1, c: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 6:10 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44390331.\nAnswer: 3, 41, 120299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-60) - 1\/(-3). Let v = -4\/5 + h. Let m = -315 - -315.3. What is the nearest to 0 in m, v, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 10:02 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -0.156355.\nAnswer: 0.0250168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9039860 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-56) - 209\/7. Let m be ((-503)\/228 - -2) + (-5)\/w. Let l = m + -35\/76. What is the closest to l in 4, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668359414 + 0.041?\nAnswer: 2668359414.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640912482?\nAnswer: 2, 11, 37, 2015863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 16 and 159 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than 55422956856?\nAnswer: 55422956849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b**2 - 13*b - 4. Let m(h) = -6*h**2 - 9*h - 3. Let r(s) = -3*m(s) + 2*p(s). Let d(a) = a**2 + a + 1. Calculate 5*d(f) - 5*r(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 249, 357, 463, 567?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(0*d**2 + 0*d**2 + d**2) + (-d - d + 5*d)*(-43 + 43 + 52*d)*(3 + 2 - 3) + (-3 + 3 - d)*(-3*d + 3*d + 2*d).\nAnswer: 312*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -29\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 488*q**6 + 175*q**2?\nAnswer: 58560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 2. Let c(v) = -v**2 + 7*v + 8. Let k be c(8). Let f be d(k). Let j be f - -1*3\/3. Solve x = j*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + c + 37 = -3*c, 5*b = -c + 31. Let h be (-1)\/(-1 + -3 - (-84)\/20). What is the closest to 1\/3 in -0.2, b, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whmw when four letters picked without replacement from {h: 4, w: 6, m: 9}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2*f**3\/15 - f**2 - 8*f\/5 + 28. Factor i(o).\nAnswer: -2*(o + 1)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*((sqrt(539) + 1)*6*-6 - (sqrt(99) - (sqrt(99) - 3*sqrt(99)*-2) - (1 + sqrt(99) - sqrt(99))*-1))**2.\nAnswer: -7244220 - 207792*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150.6274 - 0.3726. Which is bigger: t or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0118 - 7.5382. Let i = 7.05 + w. Let s = -13\/207 - -4\/23. Which is the second biggest value? (a) s (b) -3 (c) -3\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - -11)*(42\/56)\/(2\/4). Let y(p) be the third derivative of -1\/276*p**4 - 1\/690*p**5 + 5*p**2 + 2\/69*p**g + 0*p + 0. Factor y(h).\nAnswer: -2*(h - 1)*(h + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in years?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g**2 - 49*g + 1. Let k(d) = -7*d**2 - 33*d + 1. Let b(q) = 5*j(q) - 7*k(q). Is b(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/2*r**2 - 29\/2*r - 3 = 0. What is r?\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p - 28. Give b(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 4692*a**2 + 18760*a + 56272\/3.\nAnswer: 2*(a + 2)**2*(a + 7034)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (363\/3)\/((-1)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1271*n - 1271*n + 10*n**2)*(2 - 4 + 1)*(0*n**3 + 0*n**3 + 2*n**3).\nAnswer: -20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = -8*x + 17*x. Put 5, 3, 1, x in increasing order.\nAnswer: 1, 3, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 5*p = 26. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28956 - 4401355\/152. Let o = b - -3\/8. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 7)\/((-3)\/(-129)). Suppose j + x = -21. Let z = j - -106. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 16. Let b(h) = -h - 30. Give -3*b(k) - 5*n(k).\nAnswer: 3*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 10*t**2 + 17*t - 21. Suppose -10 = 58*f - 59*f. Let r be z(f). Let i = r - 104. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16852923.\nAnswer: 3, 1872547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4009 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:08 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 562 = -3*b, -3*b + 4*n = -0*b - 586. What is the units digit of b\/25 - (-4)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705648402 divided by -3?\nAnswer: -235216134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001253145 to six dps.\nAnswer: 0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -320*o - 10010. What is b(-31)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3362*u**5\/5 + 211814*u**4\/5 - 3228024*u**3\/5 - 3435008*u**2\/5 + 8192*u\/5 = 0.\nAnswer: -1, 0, 4\/1681, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -1610389 in decreasing order.\nAnswer: 3, 1, -1610389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.42439cm in meters?\nAnswer: 0.3142439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-128814)\/105)\/(6 + (-91)\/15).\nAnswer: 2, 3, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 102\/(-4)*(64\/12 - 6). Suppose l*u + 6 = 57. Solve -1 = u*d + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6637 is divided by 98?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvvpvppppvvpppvpvvpv. What is prob of sequence vvv?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3610552 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 238 + -238. Suppose z = j - 3*j + 206. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, 3\/89, -3490\/7, 4?\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 27. Let f = -8 + 5. Sort 1, f, w in increasing order.\nAnswer: f, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j. Let n be -17 + j\/(2\/1). Let x = 29 + n. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25067 is divided by 8297?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39786941.\nAnswer: 23, 53, 127, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36975 to 3 dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 634*g - 4 = 636*g, 8 = 5*o - 4*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - -13. Let b = 19 + -2. Calculate the highest common divisor of b and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**18*j)\/j**16*(j\/(j*j**(-9\/2)*j)*j)\/j**(-1))**(-8\/11) assuming j is positive.\nAnswer: j**(204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388695.\nAnswer: 5, 7, 11, 3607","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 hnmnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509.13273961 less than -5?\nAnswer: 1504.13273961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 659037 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -24659486*k**2. Let x(n) = n**2. Calculate x(l(p)).\nAnswer: 608090249784196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*m + 9324 - 481 = 0 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m - 6. What is the units digit of r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y. Let r(g) be the first derivative of -3*g**2\/2 - 298. Give -b(z) + r(z).\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let x(j) be the second derivative of 8*j**4\/3 - j**3\/3 - j**2\/2 - 2*j + 186. What is the units digit of x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/4, 103.7, 2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/324441 and 38\/274527?\nAnswer: 3568851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 3*v - 11 + 3 + 17. Let x be y(5). Put 0.3, -0.1, x in descending order.\nAnswer: 0.3, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 5)\/((-42)\/280*10). What is the biggest value in z, 21, 3.9?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7551.444nm?\nAnswer: 0.0007551444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:30 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = -2*b. Find the first derivative of -5 + 1 + 10*s**4 - b - 13 wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2666*q**2 - 645*q**2 - 658*q**2 - 679*q**2 - 662*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) -1246 (c) 7 (d) -0.4 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40765*b**3 + 144430?\nAnswer: -122295*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2015978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 5)*(-407 + 407 + 6*n)*(-7 + 5*n + 7) as u*n + h + t*n**2 and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, b: 1, f: 4, p: 1, n: 3}. What is prob of picking 2 f and 1 p?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39946 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:14 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 2*g**2 + g**4 + (-2*g + 2*g + g)*(0*g + 0*g + g**3))*(-11 + 134 + 6) in the form c*g**2 + b*g**4 + m*g + f + a*g**3 and give b.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**4 + 120*x**3 + 825*x**2 + 1310*x + 600 = 0.\nAnswer: -12, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**6\/10 - f**3\/3 - 81*f**2 - 8*f + 3. Find the first derivative of t(l) wrt l.\nAnswer: -12*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 18 = -2*s, 208*a - 204*a - 5*s - 17 = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11806662 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 1243*y**3\/6 + 52*y**2 + 2*y + 20. Let h be g(-28). Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:08 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10430364177 - 0.0591.\nAnswer: -10430364177.0591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -53, -3822, -74\/9?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*f - 2061 - 16124 = 4577 + 3239 for f.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/4 - 23085*r\/4 - 15077931\/2 = 0. Calculate r.\nAnswer: -1138, 8833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1129824, -1129821, -1129808, -1129779, -1129728, -1129649?\nAnswer: -1129536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + -61 - (10 - (1 + 10 + -8))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1074528 and 91\/70176.\nAnswer: 785479968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -5.8301?\nAnswer: -6.8301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -25. Calculate the lowest common multiple of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:14 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25216 and 985?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 11:17 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 - 6612?\nAnswer: -6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/3 (c) -1279477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2076*f - 2077*f - 93 - 19 + 11.\nAnswer: -f - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 868 and 16?\nAnswer: 13888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + (-1 - 879)\/(-4) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*f - 18 = 0, 6*f - 7 = -d + 4*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.8 + -135.2. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**3 + o**2 - o. Let s be c(1). Let h be (-50)\/s + 6\/(-42). Let m = h - 3. What is the highest common factor of 16 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3906, -7796, -11686, -15576?\n\"Answer: -3890*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307 greater than or equal to 2310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 1098 = 6*q. Let w = q - 149. What is the greatest common divisor of w and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-6 - -16 - 22) + 33)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.7415321 months?\nAnswer: 0.00145127675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 61 = 3*d, v + 4*d = 14 + 5. Let z = v - 3. Suppose 0*r + 184 = z*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (279 - 279 + 2*y)*((0*y + 3*y - 2*y)*(-2 - 2 + 3) - 1067714 + 1067714 - 1245*y) as u + a*y + b*y**2 and give b.\nAnswer: -2492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h - 92 + 20 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*x + 28 = -165*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-1 + 3)\/2). Let d = 0 - k. What is the third derivative of 3*t**3 + 0*t**2 - t**2 + d*t**2 + 0*t**2 wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i + i**2 + 0 + 0*i**3 + 1\/10*i**5 - 1\/24*i**4. Is j(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:13 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (13 + 0)) + 7 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*p = 2*i - 4, 0 = -3*i + 3*p + 36. Let m be 1\/1 - 2\/(-2). What is the second derivative of -8 + 7*h + i + 4*h + 15*h**m wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + b6e5?\nAnswer: b6e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:43 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((1\/2)\/(259\/(-222))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**3 + 687405*i**2 + 4229033*i.\nAnswer: 24*i + 1374810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2362770*s**5 + 1653392*s?\nAnswer: 47255400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(sqrt(2) + sqrt(242)*-2) + ((sqrt(96)*5 - sqrt(96))\/sqrt(6))\/sqrt(8).\nAnswer: 109*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 535*s**3 + 14 - 415402*s + 2*s**2 + 534*s**3.\nAnswer: -s**3 + 2*s**2 - 415402*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -2.5. Let n = t + 5. Let x be (-1 - -2) + 2\/(-6). What is the closest to -1 in n, 2\/11, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-56))\/(12\/(-14))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p + 13. List the prime factors of n(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102400411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2011520408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -297, -379, -515, -705, -949?\n\"Answer: -27*q**2 - q - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 642.7835 - 612.78269. Let t = -30 + z. What is t rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25876, -25952, -26052, -26188, -26372, -26616?\nAnswer: -26932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/45*(-1794)\/(-39) + (-5)\/(45\/2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpwfppppppfwpfwww. Give prob of sequence pw.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 - 8150*r**4 - 3345485*r**3 - 19853400*r**2 - 29670480*r = 0. Calculate r.\nAnswer: -812, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 s when three letters picked without replacement from odsdcdzsd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*b, 2*z - 2 = -z + 2*b. Is (-1759)\/(-7) - z\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -197*p - 8841. Calculate w(-45).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*a + a + 54, 0 = 3*k - 5*a - 146. Suppose -2*d + 234 = k. Suppose -5*o = 14 - 79. Calculate the greatest common factor of o and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5 + 2630*u**4 + 5205*u**3 - 18320*u**2 + 10480*u = 0 for u.\nAnswer: -524, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -51, -1\/6, 5, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 3:14 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -92\/171?\nAnswer: -92\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/5 + 604*c**3 - 1518048*c**2\/5 + 252999936*c\/5 + 512096256\/5.\nAnswer: -2*(c - 504)**3*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -126*w**3 + 9*w**2 + 7*w + 1. What is the units digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011111110 - 1?\nAnswer: 111011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 18*f - 21. Let k(t) = -7*t + 28. Calculate c(k(p)).\nAnswer: 49*p**2 - 266*p + 259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2 + 3*y**2 + 0*y**3 - y**3 + 3*y - 2. Let h be r(-5). Differentiate -4*v + h*v + 0*v + 4 with respect to v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 181083 = 743819. Let p = r - 9684239\/178. Calculate the common denominator of p and 123\/10.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1608807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -387, -776, -1165?\n\"Answer: -389*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33 + -29)*((-2)\/(-4) - 0). Let o(n) = 4*n**2 - 3*n**2 + 35 - n**h + 16*n + 3*n**2. Is 39 a factor of o(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 536522*j**2 + 326691*j**2 - 2*j.\nAnswer: 863213*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 0 + 7819)\/(461 + -460)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(14)\/sqrt(2))**2 + sqrt(7) + (-2*sqrt(343))**2 + 2 + (1 + 2 + sqrt(7))**2.\nAnswer: 11*sqrt(7) + 1401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34905480*v**5 + 30156944*v wrt v.\nAnswer: -698109600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 13*w - 1. Let o be p(-13). Let s be (0 - -3) + o + 1 + 0. Let i = -21 + 22. Which is the nearest to i? (a) 5 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 255\/(-315) + (-1)\/(-7). Put -0.3, 0.1, d in decreasing order.\nAnswer: 0.1, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 133 - (3 + -6 + 0 + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 48 = 8. Let t = 25 + h. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 25. Suppose t + 64 = h*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-3))\/(14\/(-21))*315\/60\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5410356 divided by 58?\nAnswer: -93282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-20)*s\/((s*s\/((s\/s**(-17))\/s)*s)\/s)*s)\/(s\/s**(-9)*s\/s**(-7)) assuming s is positive.\nAnswer: s**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1)*(13 + 0). Let i(m) = m**3 + 7*m**2 - 10*m - 5. Let a = -6 - 1. Let c be i(a). Calculate the greatest common factor of f and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 3 + 0*x**3 + 0*x + 0*x**4 + 1\/2*x**2 - 1\/6*x**6 + 0*x**5. What is the second derivative of t(s) wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - i - 8. Let v(r) = 19*r**2 + 9*r - 71. Determine 6*b(c) - v(c).\nAnswer: -c**2 - 15*c + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 68 (b) -0.52 (c) 17516\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s + 7\/12*s**4 + 0*s**2 + 0*s**3 + 0. Let n(y) = -y**2. Give o(n(f)).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27513 + -6879?\nAnswer: 20634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47208 - 4*g - 47208.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, c: 4}. What is prob of picking 3 c and 1 b?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5, -3*b + 3*a - 13 = -5*b. Let h be ((-6)\/(-2))\/(6\/16). Calculate the greatest common divisor of h and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 136\/(-16))*2*-4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 17 + 24 = 5*b, -16 = r - 4*b. Differentiate -68 - 394*d**4 - 643*d**4 + 836*d**r wrt d.\nAnswer: -804*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 41. Let h(g) be the third derivative of 0*g + 1\/75*g**5 + 0 - 1\/60*g**4 - 1\/300*g**6 + 0*g**3 + 2*g**j. Factor h(l).\nAnswer: -2*l*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) 0.09 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32622229?\nAnswer: 32622229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.097 + -0.293. Let m = 0.09 + p. What is the second smallest value in 5, 2, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3587360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -85086 - 29314. Round q to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1187 (b) -0.2 (c) 3 (d) -3 (e) 17 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -192*l + 3494. Let m be p(18). What is the highest common factor of m and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541, -1077, -1613, -2149, -2685?\nAnswer: -3221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5 + 3 + 2*s**2 + 1 - 6*s**3. Suppose 18 = -3*g + 63. Suppose 4*n - 7 + 1 = 5*k, -g = 5*n + 5*k. What is t(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 276 - -2952. List the prime factors of a.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.5 - -5.5. Let x = o - -25.1. Let q = -0.7 + x. What is the second biggest value in q, -1, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 17*p + 14. Calculate x(15).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 88177066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (-4*sqrt(2736)*-1*3 - 5*(-2*sqrt(2736)*-1 + sqrt(2736)))))**2*5.\nAnswer: -9720*sqrt(19) + 1108485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28224 and 347904.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 9712.\nAnswer: 3\/2428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19438 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37613603 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x + 9 = 0. Suppose 3*m = -4*u + 10848, x*m + 2*m - 2*u - 18106 = 0. Round m to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117369?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 14 = -2*m, 3*u - 8*u = 3*m - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1398 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 244950 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**(-14\/3) assuming v is positive.\nAnswer: v**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82471*m**5 + m**4 - 18*m + 5570?\nAnswer: -1649420*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 6. Suppose -5*p + a + 0*a - 51 = 0, 2*a = 2*p + 14. What is the least common multiple of t(p) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2703 = -10*k - 493. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:58 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3460601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, q: 3, y: 7}. Give prob of sequence ynq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1\/o)\/(o**(2\/25)\/o*o))**6 assuming o is positive.\nAnswer: o**(138\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 6825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-1*sqrt(12)) + 2*sqrt(28) - (sqrt(7) + (sqrt(567) - (sqrt(567) + 0)) - (sqrt(7) + sqrt(70)\/(sqrt(30)\/sqrt(3))))*3.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*o - 542, 13*n + 102 = 14*n + 2*o. What is the second derivative of -n*g - 9 - 10 - 56*g**2 + 18 - 1 - 84*g**2 wrt g?\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 3*t**2 + t**4 - 1538 + 1537 + t**2 + 4*t in the form o*t + j + f*t**2 + m*t**3 + x*t**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 2*a = 3*b - 1, 4*b - 13 = 5*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37079 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (55 + 5)*(-40)\/90*30435. What is o rounded to the nearest ten thousand?\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5*s - 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73787, 73786, 73785, 73784, 73783?\nAnswer: 73782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9584*j + 30176?\nAnswer: -9584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + ((sqrt(135)*-3)\/sqrt(5))\/(sqrt(108)\/sqrt(3)))**2*-6.\nAnswer: -567 + 324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6147 or -6149?\nAnswer: -6149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.01 - -0.01. Let d = b - -34.6. What is the second smallest value in 4, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1200 and 17520.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977 + 577 = 3*u. What is the third derivative of -u*h**5 - 20*h**2 - 21*h**2 + 483*h**5 wrt h?\nAnswer: -2100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y + 4. Let o = 40 + -47. Let s be t(o). Let l = -46 + s. Solve -x + 4*n = -3*x + 24, 3*x - l = -4*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -22. What is the smallest value in p, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1309968 and 1452?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 7*r**2 - 6*r + 3. Let f be w(-6). Suppose f*t - 2*t + 1 = 0. Let a be 1 + 0*t\/2. Is a at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/120 + j**5\/10 - j**4\/12 - j**3\/6 - 2*j**2. Suppose -3*w = -5*q - 11, -3*w - 5*q - 1 = -2. Is h(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 8. Is (-41)\/3*(1 - u) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 636 + 3479. What is the second derivative of 8*x**3 + 816 - d - 6*x + x wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**3 - k**2 + k - 1. Calculate m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*-1 + -5 + ((0 + sqrt(833) + sqrt(833))*3 - sqrt(833) - sqrt(833)))*-4)**2.\nAnswer: -3680*sqrt(17) + 144288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/22*2 - (-576)\/99. Solve -2 = s*r - 8*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (65 - 36)) + (0 - 2 - 23) + -3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -188270705 divided by 2705?\nAnswer: -69601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*a - 9492 = 163*a. Let o = a + 5765\/17. Factor 2\/17*j**3 + 0 - o*j + 2\/17*j**4 - 2\/17*j**2.\nAnswer: 2*j*(j - 1)*(j + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-25) + (-428970)\/(-5925)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-9 - -19 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13. Suppose 4*j - h - 40 = w, -5*j + 43 = -4*h + h. Let q(p) = -4*p**2 - 5*p + 9. Let b(d) = 2*d**2 + 3*d - 5. Give j*b(u) + 6*q(u).\nAnswer: -2*u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2328)\/(-8730))\/((-2)\/(-90)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*f**3*m**4 - 2744652*f**3*m**2 + 10763*f**2*m**4 wrt m?\nAnswer: 2064*f**3*m + 258312*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.523, 4, -2\/3, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5b26a1 (base 12) to base 6\nAnswer: 51352321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.7 - 76.7. Let k = c + 57. What is the third biggest value in k, 5, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/21*49\/21*(-1)\/(-2)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -1205*l**3\/6 - 4825*l**2\/8 - 5*l\/2 + 1839. Factor o(h).\nAnswer: -5*(h + 2)*(482*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -109*u + 681. Give m(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40013.2 centimeters in micrometers?\nAnswer: 400132000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 445095968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/(-12) + -2)\/((-5)\/30). Suppose 0 = 3*x + 5*w - 2477 - 8911, i*w = 3*x - 11358. Is x 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 kenwwwnwwetkwcncween. Give prob of picking 1 t and 1 c.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3 - -9)) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 82846383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1739637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2860\/91)\/(1\/21). Suppose 5*u = -5*j + a, 3*u + 666 - 131 = 4*j. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37228283, -37228276, -37228269, -37228262, -37228255, -37228248?\n\"Answer: 7*v - 37228290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3)\/(6\/(-174)). Suppose 3*z + 2*m - 38 = -z, -3*z - m = -g. Let 16*j + 0*j**3 - z*j**2 + 0*j**3 + 4*j**3 - 6*j**2 = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5*q - 5. Suppose 4*y - 19 = -3. Let p be -2 + -9 + 2\/2. Let k = y + p. Determine f(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1537 and 12773.\nAnswer: 370417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 702 + -696. Solve -2*q - m = -3*w + q, -4*q = 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:34 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 - -123. Calculate the remainder when (-368)\/(-14) - 2\/7 is divided by -5*l*(-2)\/(-1 + 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*z + 20. Suppose 4*d - 70 = -z. Let t(o) = -7*o - 17. Let w(y) = 3*y + 8. Give d*w(x) + 6*t(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676981.7 nanometers to micrometers.\nAnswer: 676.9817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -13*i**2 - 7*i + i**3 + 10 - 25 + 15. What is the units digit of k(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 136, -252\/29, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548687.\nAnswer: 548687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/575716 and 19\/230482.\nAnswer: 407031212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - 69 - (-2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5306965*v**3 - 7222355*v wrt v?\nAnswer: -31841790*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3034 and 28618?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*(-3 + -2*sqrt(76)*4 + -1))**2 + -2).\nAnswer: -117108 - 3072*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12482 and 22817096.\nAnswer: 22817096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 - 92 - (41 - (-2 - (4 + -2)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 - 4888*v**4 + v**3 + 30*v**2 - 323*v.\nAnswer: 180*v**2 - 117312*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7671834955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 2. Let j be r(1). Put -3\/5, j, -0.04 in decreasing order.\nAnswer: -0.04, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 12*u**2 - 18*u - 13. Does 14 divide q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -5*r. Suppose -4*i + 5 = -q, 8 + 0 = r*i. Solve q + 3 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from njljlylhehyj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10076*t - 5400*t + 12438*t to y + a*t and give a.\nAnswer: 17114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 33*s**2 + s + 1. What is z(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 - 2*h + 5. Let m be -3*1 - (-8)\/(-28)*7. Let s(l) = -6*l**2 - 3*l + 6. What is m*u(g) + 4*s(g)?\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 316 - 308 - 6*z + z**2 + 0*z. Let d be r(6). Let p be -1 + 1 - ((-40)\/(-15))\/d. Which is the nearest to p? (a) -2\/11 (b) 5 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/10*(3 + -523) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000345871189 to six dps.\nAnswer: -0.000346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + m = -25, 0 = 2*k - 2*m - 0*m - 28. Let a = k + 39. Calculate the remainder when a is divided by (-1025)\/10*(-7)\/35 - (-10)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*b + 8 + 12, -2*b = -3*j + 5. Suppose -2*r + 671 + 337 = -4*k, r + 2*k = 488. Factor -r*l**2 + 506*l**2 - 9*l + 5*l**j - 6*l.\nAnswer: 5*l*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.5 - 0.9. Let a = -1.5 + -7.5. Let i = a + h. Put i, 3\/2, -1 in ascending order.\nAnswer: -1, i, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-7)*l*l*l*l\/(l\/(l*l\/(l**(-2\/17)*l)*l*l))*l*l*l*l*(l*l\/l**6)\/l**(2\/3))\/(l**14\/(l\/l**11))**41 assuming l is positive.\nAnswer: l**(-50161\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**(3\/22)\/(x**(-1)*(x\/(x\/(x*x\/(x\/x**(-1\/7)))*x*x))\/x) assuming x is positive.\nAnswer: x**(947\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 * 0.4.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 18607.\nAnswer: 24\/18607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 77812 = -3*h - 7433, -5*s = -2*h + 46928. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = -2*s, 4*s - 3*u + 4 = 15. Suppose 5*n - 34 = 3*n. Let r = 6 - 0. Solve 5*w = x + n, -r = s*x + x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -45. Suppose r*q + 68 = 76. Suppose -6 = -q*l - 2*k, -l + 2 = 4*k - 4. Solve -20 = -5*n, -l*n = -2*b - 0 - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(13) + sqrt(52)\/(sqrt(8)\/sqrt(2)) - sqrt(13)) + 3)*3)**2.\nAnswer: 324*sqrt(13) + 4293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4727 or -4730?\nAnswer: -4727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 9, i: 4}. What is prob of sequence dii?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -665, -648, -631, -614?\n\"Answer: 17*v - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4003260536 to the nearest one hundred thousand.\nAnswer: 4003300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-20) + (30\/20 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 158\/6 + (-16)\/(-24). Calculate the highest common factor of t and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*x, -1 = v - 3*x + 3. Suppose 6 = -3*l + 2*a - 4, -5*l + v*a = 10. Suppose 7*g + 2 = 8*g. Solve l = -g*p + 4 - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-84)*6\/4. Let h = -1 - -2. Which is the nearest to h? (a) r (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4186, 4224, 4264, 4306, 4350, 4396?\nAnswer: 4444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730296?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -37.2 times -0.0587\nAnswer: 2.18364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.277209 microseconds to days.\nAnswer: 0.0000000000032084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r - 5. Let c(z) be the second derivative of 7*z**3\/6 + 163*z - 17. Calculate c(j(x)).\nAnswer: -70*x - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 2*x. Let o be q(1). Let v be ((1\/o)\/(-1))\/(18\/162). Suppose -v*m - 63 = -5*f, 0*m = m - 4. Solve 0 = -3*y - 3*g + f, 4*y - 4 - 4 = 2*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8240 by 5.\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 7*k + 462 = 0. Is (4 - (-1190)\/k)\/(6\/(-423)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let o(u) be the third derivative of u**4\/8 + 20*u**2. What is o(y(t))?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 8*u - 3*u - 27, 0 = 3*q + 4*u - 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -352153\/240784 + 2\/75245. Find the common denominator of y and 113\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eet. Give prob of sequence et.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*w + 5)*(4 + 0 - 5) + (-2 + 3 - 8)*(-4*w - w + 4*w) + w - w + 2*w + 0*w + 3*w - w + 3 - w - 3.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37930 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 k, and 2 e when four letters picked without replacement from {k: 2, v: 1, n: 5, e: 4, t: 2}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2497, -3100, -3703, -4306?\nAnswer: -4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 3*o + 283. Let y(g) = 220*g - 2. Determine y(k(u)).\nAnswer: -440*u**2 - 660*u + 62258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*t - 93*t = 160*t - 142968. Let g be 36\/(-3)*(0 - 1). What is the greatest common divisor of g and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 + 27 = -m. List the prime factors of m.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 97*r - 3. What is t(10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l**2 - 6*l**2 - l**2)*(222 - 123 - 3*l - 116) as a*l**3 + v + c*l**2 + d*l and give c.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 16*t**2 - 17*t - 27. Let p = -72 + 57. Let y be f(p). Suppose 2*w = y*w + 4*w. Solve w = -5*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -3\/5 (c) -1 (d) 4 (e) -2909\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -15*t**2 + 35. Let y(d) = -8*d**2 + 18. Let x(g) = -337*g - 2353. Let c be x(-7). Calculate c*s(l) - 11*y(l).\nAnswer: -2*l**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 less than -137547?\nAnswer: -137696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 328, 324, 320?\n\"Answer: -4*d + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-10\/9)*i)\/(i*i**(-11)))**(2\/77) assuming i is positive.\nAnswer: i**(214\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 - 3?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h - 10. Let r be k(7). What is the derivative of -r*n + 9 - 39 - 14 wrt n?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -548 divided by 6.\nAnswer: -274\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhlqkhk. Give prob of picking 1 k and 3 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8383, 15611, 22831, 30043, 37247, 44443, 51631?\n\"Answer: -4*d**2 + 7240*d + 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47\/6 + 13\/2. Let n = 0.5 + -0.3. Suppose 31 = 63*q - 337 + 53. Put v, q, n in descending order.\nAnswer: q, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71370 rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - -156c?\nAnswer: 158c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12977566 to the power of 1\/2, to the nearest integer?\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -3 - -4 - (-18 + 4 + 4)) + 43\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1217 + -1211. Let a(v) = 10*v - 2. Let n = 18 + -13. Let i be a(n). Calculate the highest common factor of i and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 + 13 + -6 + -7 + -37 + 5?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 2\/13 (c) -0.5 (d) -389\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 - 124\/(-8). List the prime factors of -1 + -4*y\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.2 - 155.8. Let o = -178 - z. Which is the closest to o? (a) -3 (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 10.6. Let y = v + 7. Let s = -17.999993 + y. Round s to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836860631?\nAnswer: 11251, 74381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1 + (1 + 1 + 0)*(-4 + 6 - 1))*(4*o - 5*o + 5*o).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2700*q - 1493 with respect to q.\nAnswer: 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s - 2*s**2 + 0*s + (1 + 1 - 5)*(0*s + s**2 + 0*s) - 2*s**2 + 0*s**2 + s**2 + (4*s - 3*s - 3*s)*(-2*s - 1 + 1))*(1 + 3*s**2 - 1).\nAnswer: -6*s**4 - 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + (-39)\/(-52). Let u(v) = 7*v - 2. Let q be u(s). Suppose 3*y = m - 30, -q*y + 3 = m - 3. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -32*p + 74*p + 58*p + 66*p - 13*p. Let i(c) = -3*c. What is g(i(d))?\nAnswer: -459*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9300)\/24800*(-4 - 28\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10.5106178 and 0.053?\nAnswer: 10.4576178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-76)*(-6)\/(-9)*8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 4*m**2 - 3*m + 4*m + 16*m**2 + 3 - 5*m**2 to z*m + i + k*m**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 7. Let n be l(-5). Let q = 36 + -75. Let i be (-16)\/(-6)*q\/(-26). Solve i - n = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/2233 and 63\/232.\nAnswer: 17864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*x - z, 23*x + 13 = 22*x - 3*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + 4.7.\nAnswer: -64.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11220001004 (base 5) to base 16\nAnswer: -c11efb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + 0.5. What is the third biggest value in -0.2, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-17))\/x**(-3\/4))**(-1) assuming x is positive.\nAnswer: x**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 560350 (base 10) in base 8?\nAnswer: 2106336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/5 of a decade?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2524, -16733, -55302, -130411, -254240, -438969, -696778?\n\"Answer: -2030*u**3 + u - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1)\/j*j)\/j**(2\/47))**(2\/75))**(28\/9) assuming j is positive.\nAnswer: j**(-112\/31725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3188954 to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12\/7)\/o)**26\/(o**8\/o)**2 assuming o is positive.\nAnswer: o**(-592\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 + 2*b - 187. Let h(x) = 5*x**2 - 2*x + 187. Determine -3*d(m) - 2*h(m).\nAnswer: 2*m**2 - 2*m + 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4618*(-4)\/(-8) - -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + z + 21 = 0, -394*w + 214*w = -182*w - 2*z - 34 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from lnlfe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -982\/7 - -140. Let z be ((-2)\/(-4))\/((-8)\/(-64)) + 0. Sort -0.4, z, p in increasing order.\nAnswer: -0.4, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49\/3 + 248\/15. Let k = 33850 + -33850. What is the biggest value in k, 13, t?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 24*c - 5*t - 5 = 0, -4*t - 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -99 - (-5 + -4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.2. Let n be (6\/4)\/(3\/(-6)). What is the smallest value in b, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 14003, 4\/13 in decreasing order.\nAnswer: 14003, 75, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23982 and 130998?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**3 - 2*s**3 + 4*s**3)*(-11*s**2 - 5 + 5 + s**2 - 4*s + 4*s + (0*s + 2*s - s)*(3*s + 3*s - 4*s) - s**2 + 3*s - 3*s).\nAnswer: -72*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 5. Let h(z) = -z**2 - 4*z. Let t be h(-3). Suppose 5*v + 4 = 3*f - 19, 3*f + 4*v = -13. Let w(k) = 1 + 4 + 2*k - f. Calculate t*l(x) - 4*w(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 10*k + 625*k**2 + 4 + 1 - 14 + 2 to the form s + a*k + y*k**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:31 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -21*r**2. Let h = -121 - -126. Let i(y) = -2*y + y - h*y - y + 0*y. Give i(w(m)).\nAnswer: 147*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:02 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 2*o + 1. Let r be t(4). Let c = 34 + r. What is the first derivative of -2*h - 9 + c*h + 8 wrt h?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06194800949 to 4 decimal places.\nAnswer: 0.0619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 6*d. Let y be q(-6). Let x = -1618263657\/4174010 - 2\/417401. Let w = 388 + x. Is w at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 644464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -217, -433, -649?\n\"Answer: -216*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -17. Solve 5 = 3*y - a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/3 + 4*y**3\/3 - 7*y. Find the second derivative of x(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.112 and -1.7.\nAnswer: -1.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 12*r - 1 - 2 - 6.\nAnswer: 12*r - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 13 = 5*l - 9*a, -2 = 2*l + 4*a. Put -5, -4, l, 38 in decreasing order.\nAnswer: 38, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*24\/(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 33. Let m = -9 + k. Suppose -m*n + 0*n = -9. Solve -l + 4 = 3*b, -5*b + 16 = -n*l + 7*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9693919 and -0.7?\nAnswer: 9693918.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-5))\/3 - 6\/11520*-174 and 21\/200?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.040017ug?\nAnswer: 0.000000008040017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 10*n**2 + 9*n + 12. Calculate the remainder when 165 is divided by a(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 92.851?\nAnswer: 9.2851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {r: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-87)\/(-90) + (-23)\/10 + 2. Factor -4\/3*c + 1\/3*c**3 + 8\/3 - l*c**2.\nAnswer: (c - 2)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 5*f + 4. Let z be p(-9). Let n be (z\/8 - -5) + 30 + -1. Calculate the remainder when 68 is divided by (10\/n*-8)\/((-4)\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -487.39 or 31?\nAnswer: -487.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**3\/6 - 7*s + 38. Let v(l) be the first derivative of h(l). Determine v(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 17*v + 84. Suppose -3*n + 8*w - 61 = 9*w, -n = w + 19. What is z(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -116*u**2. Let q(s) = -262*s + s**2 - 8*s**2 + 262*s. Determine x(q(c)).\nAnswer: -5684*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -348.1761 to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**7\/840 - u**6\/90 - u**5\/30 + 5*u**4\/24 + 61*u**3\/3 + u - 19. Let b(p) be the second derivative of q(p). What is b(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + 211. Is g(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 47*l**3 + 23*l**3 + 25*l**3)*(5 - 3 - 5 + (-13 + 24 - 6)*(-4 + 1 + 1)).\nAnswer: -13*l**3 + 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -582472, -582484, -582496, -582508?\n\"Answer: -12*n - 582460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + -35)\/((-3)\/(6\/(-4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 12, 16 in decreasing order.\nAnswer: 16, 12, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68511384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 3*i - 122 - 3*i + 122 - 3*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/9)\/(2\/(-6)). Let o(f) = -f**2 - f + 2. Let r be o(0). Suppose -14 + r = 3*g. Which is the nearest to 2? (a) d (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(3*4\/(-3)). Let r(h) = 8*h + 2. Give r(m).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/5 - 11709400*q - 42846890112500.\nAnswer: -4*(q + 7318375)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o + 671 = -183*o + 51*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-40)*-1)\/((-12)\/140)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5065*a**2 - 11019*a + 60635713.\nAnswer: -10130*a - 11019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5174.3405 rounded to the nearest one hundred?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-783)\/(-54))\/(13\/(-104)). Sort -4, y, -2 in decreasing order.\nAnswer: -2, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1391 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(57) - 5*sqrt(57)*1)\/(-2*sqrt(432)).\nAnswer: -1 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -184\/3 > -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 2*b + 9. Let t be z(-4). Let v(k) = 3 + t - 1 - k. Let f(n) = 4*n - 13. Calculate 6*f(w) + 26*v(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100 + 149*y - 42 - 55 to the form p*y + j and give p.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 3:37 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -10, -182, 5 in increasing order.\nAnswer: -182, -10, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1013436108 divided by -106.\nAnswer: 9560718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*f - 6. Solve n**f + 4*n - 2*n**4 - 6*n**2 + 0*n**4 + 3*n**4 = 0 for n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**19*b*b))**(-16)*b*b*b\/b**(-32)*b*b*b**(-4\/23))**(-3) assuming b is positive.\nAnswer: b**(-24621\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 87*l - 100 = -83*l, -3*l + 114 = 3*r. What is the highest common factor of 2712 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -389830 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10011000000101100010101 (base 2) to base 8\nAnswer: 23005425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2586, 2926, 3266, 3606?\n\"Answer: 340*d + 2246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-96)*-9)\/(-3). Sort 3, -0.3, w, 1\/9 in descending order.\nAnswer: 3, 1\/9, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -10. Solve r + 2*r - 9 = o, 0 = j*o - 3*r - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkcbxmm. Give prob of picking 1 x and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12322, 25331, 38340?\n\"Answer: 13009*x - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 33*v**3 + 524*v**2 + 10*v - 349. Determine a(-16).\nAnswer: -1533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbab when four letters picked without replacement from {v: 8, z: 2, h: 1, p: 4, a: 2, b: 3}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 12 = n, -2*m + 8 = 8698*n - 8696*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24202605\/64 smaller than 378165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 726975, 3\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9992808?\nAnswer: 2, 3, 7, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6369 is divided by 707.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -4434 + 948. List the prime factors of g.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.37939128 to four dps.\nAnswer: -17.3794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6183537*r. Let k(u) = -5*u**2. Calculate g(k(c)).\nAnswer: -30917685*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11626, -11069, -10138, -8833, -7154, -5101?\nAnswer: -2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 10*w**2 - 18*w - 18. Suppose 2*u + 40 = 4*b, 8 = -b + 3*b. Is 18 a factor of y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -320 (b) -0.04 (c) -2\/5 (d) -2 (e) 5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 4, v: 5}. What is prob of sequence vb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40778\/1125 - 108\/125. Let z = v + 37. Let m(g) = -g**2 + 7*g - 5. Let i be m(7). What is the third biggest value in i, -1, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 232*p**3 - 1330*p**2 - 1100*p.\nAnswer: -2*p*(p + 1)*(p + 5)*(p + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iejj when four letters picked without replacement from jqmeeimjmjjme?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/7))\/p**(-1)*(p\/((p\/p**(-20))\/p*p)*p)\/(p**(2\/5)\/p) assuming p is positive.\nAnswer: p**(-584\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-2 - (8 + 5)) + -19 + 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55769418919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l, -4*y = 2*l + l - 3. Suppose y = -q + 5257 + 4420. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*b**3 + 41*b - 41*b + (-2*b**2 + 3*b - 3*b)*(0 - b + 0).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 33*b - 8. Let c be (-7)\/(-1) - (4 - 4). Is t(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134.81 + -129.81. What is the third biggest value in -5, g, 3\/49, 2\/13?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**3\/2 + 2112*k + 1. Let v(i) = -64*i + 1. What is v(d(j))?\nAnswer: 192*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 128669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -4. Let r = -4 + q. Let i = 136\/3 + -45. Are r and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12923*f + f**2 + 12923*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146550547 to the nearest integer?\nAnswer: 12106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*v - 228*v = -110334. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d. Suppose -11 = -5*q + m, 8 = 2*m - d. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 520968871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/(o\/o**(-2)))\/(o\/(o\/o**(-2\/7)))**(-43) assuming o is positive.\nAnswer: o**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*j + j + 34 = 0, 2*j - 2 = 0. Let f(z) = z - 1. Let s be f(b). Suppose 0 = h + 6 - s. Solve 3*t + y = -17 + 3, 4*t - y + 21 = h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**3 + 33*i**3 - 17*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 66.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241 divided by 118.\nAnswer: 241\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6325 and 992200?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134 and 2?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - n**2 - 4*n**2 - 6*n**2.\nAnswer: -11*n**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 1\/1293, -20?\nAnswer: 1\/1293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {l: 4, g: 4, s: 2, y: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3 - (-21)\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 + 45 - 72)*(n + 0*n + n)*(n - n - 4*n**2) in the form b*n**3 + v*n**2 + t*n + f and give b.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10332, -10341, -10332, -10299, -10236, -10137?\nAnswer: -9996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2252 - 2256 + 42789*p**2 + 4508.\nAnswer: 42789*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6*4\/((-16)\/(-1140)). Suppose i = -y + 210. Solve 0 = -4*x + i - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n + 12. Let t be z(-9). Let h = -101 - t. Let p = h + 52. Solve -3*r = p*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 20094847.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + o + 2. Suppose 14 = 4*w + 3*w. Let y = -1661 + 1656. Let u(h) = -h**2 + 1. Give w*t(p) + y*u(p).\nAnswer: -p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/14*(24\/10 + -2). Is o < 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4*(-4)\/16)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 9*u**2 - 9*u - 10. Let m be h(10). Suppose m = -5*r - 4*g + 6, 0*g + 4*g = 3*r + 22. Let v be 5 - 6 - (-1 + r). Solve t + t - v = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 3:51 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 e when four letters picked without replacement from {f: 2, l: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611590093.\nAnswer: 643, 951151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:14 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + 5*x**2 + 176*x + 7. What is u(13)?\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 1. Let c(n) = 6*n - 8. Give c(w) - 3*r(w).\nAnswer: -6*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -922*y - 220. Give o(1).\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5 + 8959*t**4 - 31380*t**3 + 4499*t**2 + 71716*t - 53796 = 0. Calculate t.\nAnswer: -4483, -3\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -5*(3 + -1). Suppose 3*x = -x + k*x. Suppose -6*w - 17 + 107 = x. Calculate the lowest common multiple of w and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 10. Let z be a(6). Suppose -z*u = u - 45. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Let o(n) = -n**3 + 11*n**2 + 12*n + 3. Let v be o(12). Let w(f) = -f**2 + 6*f - 4. Let i be w(4). Solve -v*l = -i*l + q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95433996 divided by 4.\nAnswer: 23858499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/40*-4*-2. Let n(y) = 4*y + 3. What is n(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 18*q - f + 10, -5*f = -3*q + 46. Suppose 0 = -w - 1, 5*w - 104 = -5*c + 66. Calculate the remainder when c is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - m + 2*m + (-4*m + 5 - 5)*(0 + 1 + 0) + m + 2*m + 0*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 30\/(-54) - (-20)\/(-126)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/159750 and -119\/54?\nAnswer: 479250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltiiiil. What is prob of picking 3 i and 1 l?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12309 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2423 + 2421.391. Let r = 0.081 - p. What is r rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -26*r + 30*r + 3 - 2. Let l(u) be the third derivative of u**4\/24 + 2*u**2. Give f(h) - 5*l(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19600, -78437, -176572, -314065, -490976, -707365, -963292?\nAnswer: -1258817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20559144 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -80*f**4 + 360*f**3 + 395*f**2 - 1065*f + 450 = 0.\nAnswer: -2, 3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 8) to base 15.\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 2*n**2 + 6*n + 3. Let p be z(4). Put 3, -4, p in increasing order.\nAnswer: p, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -149*w. Let s(m) = -31*m - 2. What is f(s(z))?\nAnswer: 4619*z + 298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 46831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2*(-2)\/(-4)). Suppose 5*h - 3*p + p = 10, 2*h - p - 3 = 0. Suppose -3*n = -h*k - 2, 5*n - 16 = 4*k + 9*n. Put k, b, 1 in decreasing order.\nAnswer: 1, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 942 divide 5515410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -130202 (base 8) in base 7?\nAnswer: -245511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 81994, 81992, 81984, 81964, 81926, 81864, 81772?\n\"Answer: -h**3 + 3*h**2 - 4*h + 81996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 - 574 = 3*w + 9*m - 152, -5*w - 210 = m for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-6)*n)*n))\/(n*n**(-5\/7)*n*n)*(n*(n\/((n\/(n*n**(-1\/4)))\/n))\/n*n)\/(n\/n**(-1\/8)) assuming n is positive.\nAnswer: n**(-373\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 3818626?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -6.9. Let v = f + -7.000024. Round v to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -8 + 16*13\/26. What is the closest to 0.3 in y, 79\/2, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 + -1d9cc?\nAnswer: -1d9b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + -1000100011000000?\nAnswer: -1000100010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7856 and -2?\nAnswer: 3.7856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 16065 = n. Let j be 1\/((-3)\/n*5). Calculate the greatest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, g: 4, k: 4, p: 3, a: 1}. What is prob of picking 2 e and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89050 is divided by 7308?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3875.941ng to micrograms.\nAnswer: 3.875941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 270 - 270. Let p(k) = -14*k + 8*k - 25*k. Calculate p(c(u)).\nAnswer: 62*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2. Let t(b) = 7450797*b. What is t(w(d))?\nAnswer: -29803188*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2781 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -5*r**2\/2 + 8*r - 7. What is the first derivative of f(k) wrt k?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.198311706 - 176.801797894. Let p = w - -177. Round p to six decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -5*(2 + sqrt(13) - sqrt(13))) + sqrt(52) + -1 + -5.\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19234818 is divided by 187?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/9 (b) -3 (c) -4\/231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1271 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (126\/8)\/(-8*18\/(-768)). Let b = z - 82. Calculate the remainder when 10 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 118\/6*(-1)\/(-65). Let j be 0\/(-1) - (-8)\/260. Let k = s + j. Which is greater: k or 0.04?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40204, 80423, 120642, 160861, 201080, 241299?\n\"Answer: 40219*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000073291938 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43.55 - -47.55. What is the second smallest value in h, -26, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-8 - 2) + 7 - (3 - 6 - 105).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 4, b: 4, f: 12}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = -0*d + 2*v, -15 = -4*d - 3*v. Suppose d = z - x + 4*x - 24, -48 = -5*z + 3*x. What is the lowest common multiple of 6 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h - 8\/3*h**4 + 0*h**2 - 8\/3*h**3 + 0 - 2\/3*h**5.\nAnswer: -2*h**3*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m**4 - 10*m**4 + 20*m**4)*(-2 + 2 - 2).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 16 = -5*i, -4*b + i - 4*i = -46. Suppose 129 = -4*k - 351. Let j be (-1)\/3 + k\/(-9). Calculate the greatest common divisor of b and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*l**2 + 3*l - 1 + 0*l - l - 6*l - l.\nAnswer: 237*l**2 - 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385307311?\nAnswer: 29, 211, 62969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*9\/(-45).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -17*g + 62 - 148 + 65 - g**2. Is 45 a factor of n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202766659 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2236 is divided by 89?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 19*h**2 + 78*h. What is f(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3110 and 300830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4 - -2) - 1*156. Let x = 189 + m. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 + -201. Let a = 122 - v. Let o = 39.000128 - a. Round o to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 183\/12 + 6\/8. Solve -4*h - 6*g + g = 36, h - v = 5*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 119.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 20. Let z be 4\/6 - (-12)\/x. What is the closest to z in -5, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -911 + 1335. Find the common denominator of (-492)\/(-56)*(-21)\/(-18) and (-4)\/(-20) + i\/(-70).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(140\/75)*(-8)\/(-2460).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 8*s = 155. Solve -4*a = 5*n - s, a = 4*n - 0*a - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b - 18. Let i be (6\/b)\/(6\/(-2)). What is the closest to 0 in 3, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:23 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -11221, 0.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 105*t + 1278. Calculate s(-10).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-10 - (-3 + -43 - -18))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -4353?\nAnswer: -4357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2663, -5420, -8177, -10934?\nAnswer: -13691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 1 = -l. Let w be (-1 + 0)\/(l\/2) - -1. Suppose -2*t = 2*t - w*u - 6, 0 = 3*t - u - 2. Solve -4*p - 2 = 4*d - 6, 5*d - 15 = t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000173634555 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + 35\/10. Suppose 7*b - 3*b = 24. Let u be -2 - -1 - (-1 + 0). Solve u = -5*l - b - y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w + 15 - 141 = 0. Let x be (2\/8)\/((-11)\/8). Which is the second smallest value? (a) -1\/3 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/21)\/((p\/p**(2\/5))\/p*p*(p*p**(-1\/5))\/p))\/(((p*p\/p**(2\/13))\/p)\/p*(p*p\/p**(4\/7))\/p*p)**(-7\/8) assuming p is positive.\nAnswer: p**(1693\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-10)\/480*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 38 = -12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 - -186. What is the remainder when 75 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 16*u = 22*u + 113 - 240, -4*k + 5*u = 109 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i - i**3 - 19*i - 11*i + 3 + 34*i + 10*i**2. Calculate m(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*i + 602*i - 79540 = 0 for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 141093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6274461 is divided by 2102?\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 376641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in -0.07, -8, -19, 2\/17, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -17, 0, 371, -0.5 in decreasing order.\nAnswer: 371, 0, -0.4, -0.5, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 21 = -u - 33, -5*u + 5 = -2*z. Solve 2*r = 5*r - 4*p + 15, 0 = -z*r + 4*p - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -25*(3 - 1). Suppose 2*n = -6 - 2, d - 3*n = z. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 1. Let m be c(4). Suppose 5*x + q + q = 581, -m*q + 9 = 0. Let u = x - 74. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**3 + 806*a**2 - 14*a - 738. Give x(-62).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -218557, -218327, -217951, -217429, -216761, -215947, -214987?\n\"Answer: 73*n**2 + 11*n - 218641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 0*o**3 + 0*o**3)*((-14 - 4 + 2)*(-2*o + 3*o + 0*o) - 4*o + 11 - 11).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48\/7? (a) -2 (b) 1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5096 and 241951416?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdkkikikkkdii. Give prob of sequence kkii.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2694 = 5*z - 8977, 5*z = -3*a + 11689. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 27*p + 475. Let q(r) = 13*r + 236. Let f(m) = -5*q(m) + 3*w(m). Calculate the remainder when f(-11) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (-2400)\/(-5) + 4 + 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 7*m + 9. Let b be o(-5). Let h be 30\/30 - b\/(-1). Solve -5*s + 4 + 1 = h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13046 (base 10) to base 12.\nAnswer: -7672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1491 + 216. Let u = -6319\/5 - w. Find the common denominator of 67\/8 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - 3*c)*(-4*c + 0*c + 6*c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*x**5 + 455*x**4 + 2115*x**3 + 1205*x**2 - 3140*x - 660 = 0. What is x?\nAnswer: -11, -6, -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18533, 24388, 30243?\n\"Answer: 5855*b + 12678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0284 - -0.0284. What is the closest to u in 0.2, -2\/9, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (18 - -21) + 1 + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7091606 litres in millilitres?\nAnswer: 709.1606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13*-352.66\nAnswer: 4584.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 8:42 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 471 = 111. Let c = 21 - g. What is the greatest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7628667437 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 154466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -372*r - 10. Let u(a) = 894*a + 24. Let s(q) = -12*b(q) - 5*u(q). Let k(l) = -3 + 3 - 42*l. Calculate k(s(j)).\nAnswer: 252*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 334.2343g?\nAnswer: 334234300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 8)*6*(39\/(-117))\/(4\/(-33))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 3:32 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*(3\/(-6))\/(16\/(-768)). What is the greatest common factor of 2416 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, and 1 f when three letters picked without replacement from reforftoooffafffafae?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 48 = -5*t - 2*m, 4 = -4*t + m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + 1*(0 - -1). Let s be (-2 + -2)\/((-8)\/20). Let d = y - s. Calculate the lowest common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {r: 2, j: 1, e: 1, v: 8, f: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose -3*l = -k*l. Suppose 2*f + t = 19, 2*t - 6 - 4 = l. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*m + 15, 32 = -3*m + 3*k + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 23, 42, 69, 104, 147, 198?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/14 + 2 + 35\/(-7)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1203 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 983867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -240?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 2260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 26*f**2 + 16*f + 38. Let z be g(14). Suppose z + 8304 = 23*l. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110231023 (base 4) to base 14.\nAnswer: -11bd91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-16 - -11) + (-72)\/38\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 8*c**2 + c - 6. Let x be d(8). Find the third derivative of 6*y**3 + 0*y**3 - 16*y**x - 2*y**3 wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 + 117. Let o(u) = -7 - 14*u - 4 - 6 + 8. What are the prime factors of o(y)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*d + 10, 4*z + 3*d = -3 + 26. Suppose 4*j - 18 = z*b, -2 + 12 = 5*b. Find the second derivative of -8*y - 7*y + j*y - 10*y**3 wrt y.\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1, 2, -10, 0 in ascending order.\nAnswer: -17, -10, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 6 + 81)*(-o + 4*o - 4*o)*(14*o**2 + 1 - 1 + (1 + o - 1)*(3*o - 3*o - 2*o)).\nAnswer: -1092*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -734467, -734448, -734423, -734392?\nAnswer: -734355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1375003 (base 8) to base 12.\nAnswer: 16a803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4968?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 27 - 19. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 - 9384*n + 7916977 = 0. What is n?\nAnswer: -10163, 779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4\/7, 251, 2\/5, 1 in descending order.\nAnswer: 251, 3, 2, 1, 2\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -46*f - 274. Give v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*x + 118, -5*s - 85 - 60 = 2*x. Suppose -5*o + 2*c = -280, 6*c = -o + 3*c + 56. Let j = s + o. Calculate the remainder when 73 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*x + 31*x**2 - 59*x + 32*x**2 - 61*x**2 to j*x + n + r*x**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 29*j - 1008. What is d(39)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -278 + 391. Let i = r - 103.4. What is i rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (2 + 53 - (223 + -206)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21576 (base 13) in base 9?\nAnswer: -101586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5914 in -0.1, 4, -35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 - (58 + -54 - 96).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67005873 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3181 - 57377\/18. Calculate the common denominator of r and (-82)\/32 - 1\/1.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122.78151 seconds to hours.\nAnswer: 0.034105975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**3 - m**3 + m**3)*(-m - 2*m + 4*m) + (3*m - 2*m + 2*m)*(-m**3 - m**3 + 11*m**3) as q*m + b*m**4 + z*m**3 + w*m**2 + k and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**8\/168 + 22*d**7\/105 + 14*d**6\/5 + 49*d**5\/3 + 343*d**4\/12 - 2*d**2 - 5. Factor n(z).\nAnswer: 2*z*(z + 1)*(z + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(2\/3)*u*u**(-2\/35) assuming u is positive.\nAnswer: u**(379\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -335*n + 361*n - 29. Solve -2*g - 3 = x + n, 16 = -3*g - x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 696 and 35148.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -65 + 168 + 8*s - 83 + 7*s. Let m be a(20). Suppose 12*p = 2*p + m. Calculate the greatest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s. Suppose 10 = 2*r - s*r. Solve -r + 14 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 20*n - 350 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-1))\/(28\/(672\/24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 83*c + 766. Determine o(66).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 159600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/25, -3, 3, 0.5, 0 in decreasing order.\nAnswer: 3, 0.5, 0, -1\/25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8313473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/4)*q**(1\/2))**(-11)\/((q*q\/q**1)**(-1\/46))**(8\/9) assuming q is positive.\nAnswer: q**(-11369\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 11. Suppose -9 - 13 = -3*k - 5*m, b = 2*k + 3*m. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 619 - 2?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 + 0 + (0 - -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432333 + -433141?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 7*u + 10 = 0. Let z(d) = -d + 5. Let y be z(0). Sort u, y, 4 in decreasing order.\nAnswer: y, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25\/9 (b) 5 (c) 320\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9))**37*d**(-4)\/d*d*d**7*(d\/d**(-5\/2))\/(d\/(d*d\/d**(-6)))*(d**(-1))**36 assuming d is positive.\nAnswer: d**(-257\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than 4038.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -340*s**2*t + 20*s**2 - 17*s*t + 3*t + 373685 wrt t?\nAnswer: -340*s**2 - 17*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1748)\/253)\/(274\/(-1507)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 6*a**2 - 7*a - 7. Let f be w(-5). Suppose -48 = -f*x - x. Calculate the remainder when 23 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 4) in base 2?\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -31*k. Let a(p) = 7*p - 68. Suppose -3*s = -2*t - 61 + 23, 5*s - 54 = t. Let f be a(s). Let d(u) = 6*u**f + 4*u**2 - 3*u**2 - 8*u**2. Give h(d(m)).\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.381 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-1)))**(2\/81)*((v\/(v**(-2\/9)*v))\/v)**(-11\/6))\/(((v\/(v*v\/v**(-2\/9)))\/v*v\/(v*v*v\/(v*(v**(3\/2)*v)\/v*v))*v)\/(v**8*v**4)) assuming v is positive.\nAnswer: v**(1063\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5539.59 less than 135.349?\nAnswer: -5404.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159091951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 times 48.4?\nAnswer: -130.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*m**2 - 1541768\/9 - 3512\/9*m.\nAnswer: -2*(m + 878)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + o - 3, 29 = -4*h - 0*o + 5*o. Let y = -16 + 10. Let i be (4\/(-21))\/((-44)\/y). Which is bigger: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**0)\/j))\/(j\/j**14))\/(j**(-2\/5)\/(j\/((j*(j\/j**8)\/j*j)\/j))) assuming j is positive.\nAnswer: j**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254228299 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/98391 and 83\/33.\nAnswer: 1082301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-318)\/(-256))\/(2\/8) - 5. Suppose 0 = -3*j - 2*j + 3*x - 4, j + 2 = x. Is j <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.07 - -14. Suppose 4*v = -4*h + 6 - 22, 0 = 4*v - 5*h - 2. Which is the second smallest value? (a) t (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(228)*2)\/(sqrt(24)\/(sqrt(2)*-2) + (sqrt(1452)*-1 - sqrt(12))) + 5.\nAnswer: 4*sqrt(19)\/25 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 247987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -58. Suppose a*g = 4*g - 8. Suppose -2*q = -w + g, -7*w - 3*q = -2*w - 1. Solve 3 = w*j - 2*u - 7, 5*j = 2*u + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*q = -152, -q + 0*q = 5*z - 815. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1573) + sqrt(1573) + 1 + -3).\nAnswer: -22*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from nnyyeynnpennen.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2016, 4150, 6282, 8412, 10540?\n\"Answer: -a**2 + 2137*a - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/2 (c) 54555 (d) 3\/2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -845 - -855. Solve -9*n = b - 46 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k + 24 = 0. Let a = -10 + k. Solve a*o + 2 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z + 198. Let m = 2 - 0. What is the least common multiple of a(17) and m?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - 315\/(-12). Let l(t) = t**2 - 2*t - 6. Let p be l(-2). Suppose -a = -p*a + o. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/((-10)\/2669))\/(-28 - -29). Let w = 269 - z. What is the common denominator of w and 45\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799 + 7451 = 375*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44970319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 2034\/7?\nAnswer: 2034\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 201 - -30. What is the greatest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 6:33 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110101111000001 (base 2) to base 13.\nAnswer: 69190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.649*165.\nAnswer: -107.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pklwvevvpvvvvv. What is prob of sequence lkw?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 7. Is (1 + i)*(-81 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.480639 millimeters in kilometers?\nAnswer: 0.000000480639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.5. Let k be (-45)\/(-12) + -1 - 3. Which is the closest to w? (a) k (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - 118. What is the third smallest value in -0.08, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 + -150. Let b = 54 + -52. Suppose 23 = -i - 4*v + 4, -15 = 3*i - b*v. Are i and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55388, -55367, -55318, -55229, -55088, -54883, -54602, -54233?\n\"Answer: 2*l**3 + 2*l**2 + l - 55393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 234535787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by -18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*n + 5*o + 10, -3*n = -5*o + 13. Let p = -9 - n. What is the tens digit of (2\/1)\/(p\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -3*o - 10*b + 6*b, -2*o = -2*b + 240. Calculate the least common multiple of (72\/(-10))\/(o\/400) and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-12))\/(4\/696). What is the hundreds digit of (1178\/3)\/((-116)\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32703286 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-23))**(2\/5) assuming v is positive.\nAnswer: v**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8 + -6 - 8\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q = 45*q + 2*t + 3759, -3015 = -4*q - t. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)\/q*q**(-8\/7)*q*q\/(q*q**(2\/13))*q\/q**(3\/5)*((q*q**(1\/4)*q)\/q*q)**(1\/47)\/(q\/q**8*q**(4\/7)) assuming q is positive.\nAnswer: q**(49591\/85540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -28216*r + 141050. Determine j(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10677 (base 8) to base 7\nAnswer: 16150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m**3 + 2*m - 2. Calculate the remainder when 23 is divided by l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*b**6 - 2*b**5 - 3*b**2 + 7*b.\nAnswer: -1200*b**3 - 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkzz when four letters picked without replacement from {k: 2, r: 1, z: 3, a: 1, h: 6}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 970\/(-18)*-15*-6. What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5, 805374, 4, 2, -2 in decreasing order.\nAnswer: 805374, 5, 4, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39899966.\nAnswer: 2, 1061, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -493 + 5023. What are the prime factors of s?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 7:46 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 2*w - 15*w**2)*(-7*w - 12*w + 7*w) to i*w**3 + v*w + b + k*w**2 and give i.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 18*u + 3*u + 7*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 74. Calculate the least common multiple of n and 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3348\/5*r**2 + 7616\/5 - 3776\/5*r - 98*r**3 - 2\/5*r**4 = 0 for r.\nAnswer: -238, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 640729657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 162638500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/100*-1 + (-14)\/(-10). Let w = 569\/965 + 2\/193. Which is the second smallest value? (a) p (b) 5 (c) w (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*u - 60*u + 8 = 0. Suppose 8 = 4*t, -6*a + u*t = -4*a. Let p = 3 - 3. Solve p = -0*n - n + a*m + 7, 0 = -n - 4*m - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/42)\/(6\/(-9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 1717 = 443. Is -180 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165633653 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h**(-8)\/h)\/h)*h*h))\/h**(-2\/19)*(h**(-2)*h*h)\/(h*h**5\/h))**(1\/16) assuming h is positive.\nAnswer: h**(-321\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -352918.94 to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.6 + -3.12. Let r = -0.58 + b. Sort -0.4, -2, r in descending order.\nAnswer: r, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -14*q**2. Let w(p) = 29 - 29 - p + 2*p. Calculate u(w(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = -5*l, 5*l = -2*k + k + 13. Let n = 149\/5 + -30. Which is the third biggest value? (a) n (b) 2\/13 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407.62 - 407. Let t be (1 + 1)*(-3)\/9. Which is greater: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 127 = -109. Let s = o - 112. Calculate the remainder when 81 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:18 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 - 10*m**3 - 39 + 38 + 100*m**3 - 14*m**3 to the form y*m**3 + w + b*m + x*m**2 and give w.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 99\/(-2) - 3\/(-6). Let f = r + 53. Suppose -4*h - f = -3*n + 25, 21 = 2*n - h. Calculate the remainder when 19 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 7700360 = 4299340. What is h rounded to the nearest 1000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + j - 11. Let c(u) = -4*u + 13. Let v(l) = 1. Let g(s) = -c(s) + 3*v(s). Let k be g(3). Suppose 0 = -2*r - k*r. Give o(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 5 - 45 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656 divided by -82.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(3\/7)\/l)\/l*l\/l**(-1\/6)*((l**(-3\/4)\/l)\/l)\/(l*l**(-6)))\/(((l**(-2\/19)*l)\/l**0)\/((l*l**(-2\/7)*l)\/l)**26) assuming l is positive.\nAnswer: l**(4679\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -84, -89, -94, -99?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 128552.1 and -823808?\nAnswer: 952360.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y**3 + 0*y**2 + 2*y**2 + 12*y**3 + 1 + (5*y + 0*y + y)*(1 - 1 - y**2) to a*y**3 + u*y**2 + j + g*y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:02 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*r - 12, r = -0*r. Let v be (4 - -6) + 3*-1. Let j = v + 2. Put b, j, 4 in ascending order.\nAnswer: b, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -60*t**3 + 66*t. Let m(d) = d**3 + 4*d. Let w(q) = -2*g(q) - 2*m(q). Find the second derivative of w(i) wrt i.\nAnswer: 708*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11672000 to the nearest 100000.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*2\/(-14)*(-745)\/149\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8107, -8482, -8857, -9232, -9607, -9982?\n\"Answer: -375*z - 7732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190\/1805 - (-1015700)\/19 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3900)\/208*(-36)\/(-27)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 54. Let z be a(-15). Suppose 4*m - z = -3*r, -3*r - 2*m + 45 = -0*r. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4044294172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*r - 3*o, -5*o = -2*r + 3*r - 10. What is the remainder when 97 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/50 and (-53)\/(-50)*20\/(-40).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 41. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(500) + sqrt(500)*-1 + sqrt(500) + 2 - ((sqrt(500) + sqrt(500) + 1)*4 + -2 + sqrt(500)*-3))**2.\nAnswer: 80*sqrt(5) + 8001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03312 - 8197997510.\nAnswer: -8197997510.03312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**8\/84 + 2*q**7\/7 - 13*q**6\/6 + 7*q**5 - 9*q**4 + 1370*q**2. Determine t, given that y(t) = 0.\nAnswer: 0, 1, 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 330, -4, 5, -3 in increasing order.\nAnswer: -4, -3, 4, 5, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**3 + 4*r**3 - 4*r**3)*(-1 - 3 + 3 + 1 + 0 + 3 + (-1 + 0 + 0)*(-2 - 5 + 4)) to k*r**3 + s*r + m*r**2 + q and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19178\/7 - -2740. Let g = -0.05 + 0. What is the closest to -2\/3 in -4, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-3)*(-4)\/12*-63. Suppose 0 - h = -7*r. Suppose -5*z + r*z = 71200. Round z to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {e: 1, z: 5, y: 2, i: 1, l: 2, v: 5}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 875 - 1418. Suppose -4*a = 16, h - 3*a = -4*a + 795. Let w = h + t. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 12. Let n(p) = -8*p - 14. Let c(x) = 7*i(x) + 6*n(x). Let s(d) = -2*d**2 - 9*d. Determine s(c(t)).\nAnswer: -2*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25042670*c**3*z + 15373743*c**2*z wrt c?\nAnswer: 150256020*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 11 + 2*b - b + 2*b**3 + 11 in the form h + u*b**2 + n*b + t*b**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.284565 decades to years.\nAnswer: 52.84565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-687*b**3 + 1955*b**3 + 1586*b**3)*(2 - 3 + 2).\nAnswer: 2854*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -28.54 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 71, 94, 117?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*h + 640 = -14*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, h: 3}. Give prob of picking 1 h and 1 o.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91756616 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11026245.\nAnswer: 3, 5, 735083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 227 + -228. Which is the fourth smallest value? (a) v (b) 4 (c) -0.04 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.06 - 25.9. Let s = o - 6.7. Let n = 0.04 + s. What is the second smallest value in n, -6\/11, -1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 34455?\nAnswer: 34455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3513, 7015, 10509, 13995, 17473, 20943, 24405?\nAnswer: 27859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:55 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -397 - -397. Solve 0 = q - i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 4 - i + 2\/55*i**5 - 4\/3*i**3 - 17\/66*i**4 + 12\/11*i**2. Find u such that z(u) = 0.\nAnswer: -2, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -4. Let t = h + -5. Which is the third biggest value? (a) -5 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - w = -4*w, -3*g = w. Suppose -56 = -4*r - g*r. Calculate the common denominator of -63\/22 and 2 + (-33)\/r - 3.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 502041, 502045, 502049, 502053, 502057, 502061?\n\"Answer: 4*c + 502037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 + 423*w**3 - 227*w**3 - 182*w**3 + 19*w**2.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1052.\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -311*n**2 - 15*n - 2. Let u(p) = 103*p**2 + 4*p + 1. Determine 7*u(a) + 2*z(a).\nAnswer: 99*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -9 (c) 22 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -2.8?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.136 in 1\/5, 1, 3\/4, -5, 3\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - r + 17 = 0, -r + 1 = -3*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39779233, 79558464, 119337695, 159116926, 198896157?\n\"Answer: 39779231*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3206578610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73160 by 2360.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*w + 29*w - 25*w)*(3 - 3 - w**2) - 4*w**3 - w**3 - 5*w**3.\nAnswer: -29*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/3*630\/49. Solve 13*s = -2*s + t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 628 = -9790. Calculate the remainder when h is divided by 306.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 33*b + 35. Calculate j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -129 + 120 + 2 + 0 + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (3 - 8)) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 6:07 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 130202.6 meters?\nAnswer: 130202600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.91 - -16. Let t be -3*(-4)\/(-18) + 77 + 4. Let o = t - 967\/12. Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 149791*c - 38*c**2 - 149791*c.\nAnswer: -38*c**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34852 - -5367. Is 47 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3596.116 nanometers to micrometers.\nAnswer: 3.596116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 258*f**2 + 7035*f - 58800.\nAnswer: 3*(f - 35)**2*(f - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + p. Let x be h(-1). What is the derivative of -1 - 2 + x + 2*j**4 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*z = 6300012, -4*f + z + 6300003 = -3*f. Suppose 29*b = 28*b + f. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 64 + 34 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/150 - 7*y**4\/60 + 2*y**3\/5 - 30*y**2. Factor l(d).\nAnswer: 2*(d - 6)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-18))**(2\/77)*(x\/x**(6\/5))\/x**(-33) assuming x is positive.\nAnswer: x**(12818\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.909 + -2.507. What is u rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 4*j + 4*j + (1 + 3 + 13)*(3*j + 3*j**3 - 3*j) + j**2 + j**2 - 2 - 2*j**3 + 11.\nAnswer: 51*j**3 + 2*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.02070645119 and -0.3.\nAnswer: 1.72070645119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*a, -14*a - 1 = -4*l - 9*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51413 divided by -7.\nAnswer: -51413\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(3*sqrt(147) - sqrt(147))*-4*5)*4.\nAnswer: -2240*sqrt(3) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*k**5 + k**4*o - 3*k*o + k - 3*o wrt k.\nAnswer: -1960*k**3 + 12*k**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8019 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(242) + 2*sqrt(242)).\nAnswer: sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.017268 and -6?\nAnswer: 0.103608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 209979640 a multiple of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 23*a + 2969. Let n be u(-129). Solve n*s = j + 5, 2*j - 3*j + 9 = 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506434421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*p = 99*p - 40*p + 1704 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144892 and 535612?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5616.8*0.14\nAnswer: -786.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2222252077?\nAnswer: 107, 20768711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3)\/(-3) - 0. Suppose w = -3*c - 0*c + 369. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, 3, 10, 30 in descending order.\nAnswer: 30, 14, 10, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46150752 a multiple of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 5*q**2 + 17*q - 51. Determine c(6).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 3*a = -18876. Suppose 5*u + 3*n - 1 = 3*u, 0 = 5*u + n - 22. Suppose u*m + 119 = a. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17780\/(-14224) + ((-3465)\/12)\/5?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 1\/20*w**5 + 1\/6*w**3 + 0 - 6*w + 1\/6*w**4 - w**2. Determine j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113.6 - -31.\nAnswer: -82.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 28207992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0 (b) -1236 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/8130 and -47\/2329245.\nAnswer: 4658490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*t**3 - 23*t**3 - 25*t**3 + (0*t + t + 0*t)*(-t - 1 + 1)*(-5 + 5 + 24*t).\nAnswer: -58*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, -4, -2, 9 in increasing order.\nAnswer: -5, -4, -2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.4, 8\/11, 7 in decreasing order.\nAnswer: 7, 8\/11, 0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m - m = -576. What is the remainder when 61 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -21)*24\/(-9). Let f = 49 - -7. Suppose -4*q + f = -0*q. What is the highest common factor of o and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849*q + 884*q = 385 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(-1)*68\/153.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) -1 (b) 1.1 (c) 6156 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:43 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12300, -44705, -98714, -174327?\nAnswer: -271544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/16 and -95\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*c + u + 15, -c - 4*u = -4*c - 7*u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 - 5)*(-1 - -3). Let r = 26 + g. What is the smallest value in 0.3, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -517020.300056 + 517018. Let o = 1.6 - -0.7. Let f = s + o. Round f to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 9) + 34 + 28 + -67?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 3*w**2 + 12*w + 14. Suppose m = -2*o - 7, 19 = -3*m - 21*o + 17*o. Let x be k(m). Solve j - 10 = -x*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 13 (c) 0.4 (d) 246 (e) -314.2 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -205.71539\nAnswer: -3908.59241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303863 to the power of 1\/2, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 76*f**2 + 53*f**2 + 3.\nAnswer: -23*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 64845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/(-62))\/((-6)\/(-20)) - (-6)\/6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**4\/6 + l**3\/6 - l**2 + 7*l. Let y(t) be the first derivative of k(t). What is the least common multiple of 4 and y(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 154*d + 3681. Determine a(-24).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d**(1\/2))\/(d**(-1)*d*d)**(-6\/5))**(-20) assuming d is positive.\nAnswer: d**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 793016519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -98. Let p be t\/5 - 8\/(-20). Solve -p = -5*s + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17790 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {k: 5, l: 6, j: 3, e: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2840, -2817, -2794, -2771?\n\"Answer: 23*y - 2863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -9. Let s(n) = n**2 - 2*n - 3. Let f be s(2). Let r be -1*((-48)\/9 - -3 - f). Which is the closest to -4? (a) d (b) -1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-12\/7)\/x*x*x**38)\/(x\/(x*(x*x**(-36)\/x)\/x))**(-3\/2) assuming x is positive.\nAnswer: x**(1299\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 5:36 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 f when four letters picked without replacement from {x: 1, n: 1, y: 3, c: 1, f: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11810 is divided by 330.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/36)\/((-49)\/28). Let p be 1 - (-1 - 103\/(-63)). Let r = p + i. Which is the closest to -2? (a) -3 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180) + 1) + (sqrt(180) + 6*(sqrt(180) - (1 + sqrt(180))))**2 + sqrt(180).\nAnswer: -48*sqrt(5) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 + 13.6. Let i = 4028 - 4013.235. Let q = i - p. Round q to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 657 + -635. Solve 6*g - h = 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -89. Let z = -74 + l. Solve 0 = z*p - p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2695, -2690, -2683, -2674?\nAnswer: -2663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 25*o - 75. Suppose -y + z + 2087 + 4649 = 0, 3*y - 20184 = -o*z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 205.3038 litres?\nAnswer: 205303.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 4, 5.11766, 2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 8*v = -156. Solve -b - 4*p = v, -2*p = 4*b + 2 + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/7 + 632*o**2\/7 - 6520*o\/7 = 0.\nAnswer: -326, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 218 = -5*j + 18, 32 = d - 3*j. Let z = 53 - d. Suppose -36 - 108 = -z*c. What is the highest common factor of 80 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 y when three letters picked without replacement from ytttttyttltltttlt.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -653 - -5879\/9. What is the nearest to a in 1.7, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4*(-4)\/(-5). Let v(g) = g**3 - 2*g + 1. Let j be v(f). Suppose -4*r = -17 + 1. Put -3, r, j in descending order.\nAnswer: j, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 20*l**2 - 71*l + 1. Suppose 7*m = 2*m + 205. What is the remainder when i(6) is divided by m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/12 - (-93 + 1). Suppose -5*j + 134 = 579. Let s = a + j. Which is greater: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -270 + 56. Let r = -206.74 - f. What is r rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6463\/((-1)\/((-2)\/(-24))). Let c = f + 538. Calculate the common denominator of c and 53\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (207*h - 53*h**2 - 98*h - 105*h)*(3 - 3 + 1) to s*h + t + m*h**2 and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*d*d\/d**(-11)*d assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -53, -46, -57, -92?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/18 != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1448946*m + 1448976*m - 60 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11856 times -113\nAnswer: 1339728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0 = -6. Which is the nearest to 0? (a) 0 (b) -4\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5697916 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 11:07 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b**4 + 4*b**3 - 10*b - 2. Let m = 20 + -14. Let n(j) be the third derivative of j**7\/210 - j**4\/24 - 2*j**2. Let p(i) = m*n(i) - c(i). Factor p(o).\nAnswer: -2*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/233387 and -36\/2695.\nAnswer: 1166935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3740561.\nAnswer: 11, 17, 83, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:26 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 11*z**3 + 26*z**2 - 39*z**3 - 5*z - 26*z**2 + 3*z.\nAnswer: -28*z**3 - 2*z - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -192, 5, 1, 19 in decreasing order.\nAnswer: 19, 5, 1, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*(0 + 12\/(-16)). Suppose -4*v - 4 = 0, s - 3 = 3*v + n. Are s and 9 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4505 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -220?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 4 - 4 + (0 - 3 + 4)*(2*o - 2*o - o))*(-8*o**4 - o**4 + 5*o**4) + (-1 + 0 + 2)*(11*o - 11*o - 6*o**5).\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = i + 3. Let z = -8754 - -8781. Solve 0 = 4*d + 3*n + i + 13, 0 = -d - 5*n - z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 313171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1984 and 1337712?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10805, 11047, 11289, 11531?\nAnswer: 11773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -7 in descending order.\nAnswer: 6, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1012*p - 539*p - 471*p - 21*p**2 + 2 as o + t*p**2 + y*p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u - 2. Let a be g(-5). Let m = 167 + a. Suppose 8*h - m = 3*h. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/7, 1928?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - 9. Find the second derivative of -31*w**p - 3*w + 28*w**3 + w wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99077 divided by 24.\nAnswer: -99077\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8125301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6295194 divided by 9006.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3082 is divided by 172.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 765.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - 38)\/7 - (-6 - -2). Let o = -3 - -2.9. Let v = 0.2 - o. Which is the third smallest value? (a) v (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.675532 millilitres in litres?\nAnswer: 0.008675532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Suppose -p*j + 318 = 12. Suppose -2*h + j = 24. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -22 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -10. What is the second derivative of -3*s**5 + j*s - 5*s + 0*s**5 wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (3 - -4) - (-3 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 1258 = -3*v - 8*m, -4*v = -2*m - 1676. List the prime factors of v.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*s - 3*s**2 - s**3 - 19*s + 46*s to y*s + t*s**2 + c*s**3 + m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 4 + 19 - (-1 - -19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 13) in base 4?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3089701*i**6 + 35*i**2 + 20205*i wrt i?\nAnswer: -370764120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 20*v**2 + 21*v + 97. What is w(-19)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 36, 9, -46, -135?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7789 + 13264. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -4\/3, 1\/7, 2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -822. Let x = g + -190. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11946\/1448)\/(22\/4))\/((-12)\/184)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 2225 = 7428. Let d = 477 - c. Let n = -1 - -6. Sort 0, d, n, -3 in decreasing order.\nAnswer: n, d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003963 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-3\/8)*k))\/k**(-1\/7)*(k**(-2))**(-1\/53) assuming k is positive.\nAnswer: k**(-3545\/2968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 1637553?\nAnswer: 47489037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*j*n**3 - 2749*c*j*n**2 - c*n**3 + j*n - 15230*n**3 wrt c.\nAnswer: 3*j*n**3 - 2749*j*n**2 - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = 3*x. Suppose 3*o + x*y = 5*o - 10, -19 = -3*o + 5*y. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15*-1 + 3)\/(-1). Let k = p + -5. Let g(d) = 5*d**2 - 1. What is the remainder when k is divided by g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188402652 divided by -3488938\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 24727200.\nAnswer: 148363200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084257923 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from wsaiaaiasw?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-2\/25)*t)\/t)\/(t**(1\/9)\/t) assuming t is positive.\nAnswer: t**(407\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 7*i**2 - 3*i - 2*i**3 - 8*i**2 + 15*i. Is 37 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2268*j + 852620. Calculate p(376).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -23*x - 930. Let c = 170 + x. Let p = -103 - -145. What is the remainder when p is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s - s - s + 69 wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 290 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122 - -1097\/9. Let r = -5.99 + -0.01. Let z = -2 - r. Put z, -2\/3, o in decreasing order.\nAnswer: z, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/15 + (-2)\/3. Let q be (-8)\/j*2\/2. What is the tens digit of (0 + q + -3)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*s - 480 = 344*s + 368*s + 348*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59398189?\nAnswer: 563, 105503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773 is divided by 1764.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153673.7 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjj when three letters picked without replacement from bijbhpfjfijifhijbfib.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31322000 (base 4) in base 13?\nAnswer: -1cc07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -112199380 divided by 394\nAnswer: -284770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 23*x - 7*x + 1222 = 0. Solve 2*s + 2*m - 8 = 0, -4*s + 13 = -23*m + x*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1974, 3946, 5914, 7878, 9838, 11794, 13746?\n\"Answer: -2*d**2 + 1978*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 9) + 3\/9*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010100101100 (base 2) in base 9?\nAnswer: 7382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 (base 10) in base 5?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c. Let q(l) = -2*l - 1. Let f(s) = -40*s - 24. Let g(z) = -f(z) + 24*q(z). Let o(m) = 5*g(m) + 3*t(m). Let x(p) = 2*p - 3. Determine o(x(u)).\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 13 = -2, -4*z - 226 = 2*n. Let i be 251\/6 + (7 - n\/(-18)). What is the greatest common divisor of 70 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 498, 496, 494, 492?\n\"Answer: -2*g + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11652 = 400*v + 3868 - 11816 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 22, -7\/50?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*f - 9, 0 = -m + 3*f - 7 - 2. Suppose m*x = -6*x + x. Let k(h) = h**3 + h**2 + 6. Calculate k(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.048 + -74.048. Let t = o - -50. Let z = t + 23.9999989. What is z rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 2*f**2 - 2. Suppose -6 = -5*q + 9. Suppose -2*k + q*h + 8 = -2, 0 = 2*k + 3*h - 10. Let i = k - 7. Give u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1157 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**3\/3 - 5*m**2 + 64*m. Calculate w(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-35))\/(15\/(-90) - (31906\/(-6180) + 5))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, w: 9, o: 2, c: 1, s: 4, g: 2}. Give prob of sequence coss.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10\/169 + -726\/845. Suppose 0*x + 3*x - 6 = 0. Suppose -3 - x = v. What is the biggest value in v, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*h - 637*h + 313*h.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/5, 4\/83, -603, -12 in increasing order.\nAnswer: -603, -12, -2\/5, -0.2, 4\/83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155522709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*n + 11, -q + 2*q - 5 = n. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 119760*i + 896403600.\nAnswer: 4*(i - 14970)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(32\/6))\/((-378)\/(-224)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:12 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -32. Let v be 10\/(330\/171) + -5. Sort v, -6\/7, -0.3, p.\nAnswer: p, -6\/7, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvjvoxxojv. What is prob of sequence xjvo?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 120, 0, -1 in descending order.\nAnswer: 120, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3097*o**2*z**3 - 118*o**2*z**2 - o**2*z + 18*o*z**2 wrt z?\nAnswer: 18582*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*s**2 + 2 - 46*s**2 + 9*s**2 in the form f*s**2 + r*s + w and give f.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let u(b) = -3*b - 5. Let x = 6 - 9. Let o be -1*(0 - (2 + x)). What is o*u(t) - 5*v(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7*m - 9 = 0. Let v(o) = -13*o + 54. Let s be v(4). Let x(t) = 13*t**3 + 14*t**3 + t - 36*t**3 - s*t**2 + 14*t**3. Give x(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1944925, 1944947, 1944975, 1945009, 1945049?\n\"Answer: 3*s**2 + 13*s + 1944909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 133 = 3*z, 4*k = -6*z + z + 109. Put -2, -4, k in increasing order.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -128, -135?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 9*i**8\/112 + 23*i**5\/60 - 14*i**2. Find the third derivative of a(s) wrt s.\nAnswer: 1620*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1078) - sqrt(1078))\/(sqrt(20)\/sqrt(40)).\nAnswer: -70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/286 and -109\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 31 = -3. Let d = -13 - f. Factor -1\/2*i**d + 0 + i + 0*i**3 + 3\/2*i**2.\nAnswer: -i*(i - 2)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 49.2. Put 3, -6\/11, w, -5 in ascending order.\nAnswer: -5, -6\/11, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - 134e?\nAnswer: -132e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -39172000 rounded to the nearest one hundred thousand?\nAnswer: -39200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 239 (b) 3 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-8)\/o*o)*o*o)\/o**(-23))\/(o*o**(-4)\/o)**(4\/11) assuming o is positive.\nAnswer: o**(379\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -0.1, 4\/13, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 24, 20, 4, -30, -88?\n\"Answer: -j**3 + 3*j**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 1\/30 (c) 1\/42112 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 2 (c) 4\/13 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -99. Suppose 3*x + 5*p - 792 = i, -3*x + 0*p = -p - 792. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 59\/2, -3, -4 in decreasing order.\nAnswer: 59\/2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -21 - 13) + -4 + 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/20533310 and -151\/24822?\nAnswer: 184799790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-78)\/(-30) - 3)\/(1\/35). Let i = z + 14. Suppose i = -2*h - 2*x + 74, 0*h + 3*h + 4*x - 111 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 99\/(-12)*64\/(-24). What is the greatest common divisor of g and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1185513*d*m**2*x**3 + 5*d*m**2 + 15*d*m*x + 7*d*x**2 + 2*d + 3*m**2*x + 4*m**2 - 27*m*x wrt x?\nAnswer: -7113078*d*m**2*x + 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -5*g + 89. Let z(a) = -51*a - 2*a**2 + g*a + 6*a**3 + 1. Give z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-36)*6\/4. Suppose -p = 2*s + s - 91, 3*s - n*p - 97 = 0. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/2 + 75*s**4\/2 - 967*s**3\/2 - 1119*s**2\/2 + 484*s + 522 = 0 for s.\nAnswer: -1, 1, 18, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 12, 43, 106, 213, 376?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -815, -1626, -2433, -3236, -4035?\n\"Answer: 2*g**2 - 817*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 + 35*o**2\/2 - 36*o + 313. Factor z(m).\nAnswer: (m - 1)*(m + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-9))\/(-5) - 2*2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15693, 0 in decreasing order.\nAnswer: 3, 0, -15693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22623791887701.8059911 - 22623794139933. Let o = -2252119.194 - p. Let h = 112 - o. What is h rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 3*o**3 + 0 - 2 + o - 2*o**3. Let a = 2 + -3. Calculate v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = -2*f + 5*v, 0 = -3*f + v - 6*v - 505. Is (21\/(-3))\/(10\/f) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/5247 and -67\/45792?\nAnswer: 503712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -760.1 - -796. Let c = d + -30.9. Sort c, -9, -4, -3 in descending order.\nAnswer: c, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 10*m - 0*m. Suppose 0 = -m*z - 2*z + 8. Solve 2*k - 10 = 3*x, -5*x - 4*k - 16 = -z*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 5*g + 15. What is v(6)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0*q**2 + 2*q - 63 + 21*q**2 - 2*q**2 + 30*q - 18*q**2. Give g(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499884261 less than 0.048?\nAnswer: -499884260.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 3*m - 4. Let s be l(-4). Suppose -39 = 2*t - 5*f, 15 = 8*t + 2*f - 71. Put 5, s, t in descending order.\nAnswer: t, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 20*t - 36. Let n be z(27). Let g = -136 + n. Solve 12*y - 25 = g*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21533951 is divided by 10766965.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4188, -4192, -4196?\n\"Answer: -4*s - 4184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -127 (b) -0.4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582354 to the power of 1\/2, to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 50. Calculate the remainder when 14 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 1532\nAnswer: -13788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 5. Let l be k(8). Suppose -4*b - 5*v + 17 = -4, v - l = -3*b. Suppose 14 = b*m - 18. Calculate the least common multiple of 6 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 971151322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/2 - 111*a**3 + 223*a**2\/2 = 0. Calculate a.\nAnswer: -223, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.031099 and -150643721.\nAnswer: -150643720.968901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -618 + 559.8. Let q = p + 58.5. Let x = -0.11 + -4.89. Which is the nearest to q? (a) x (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349 + 999 - 334 - 336 + 26*n.\nAnswer: 26*n - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21560 = -4*l - 6*l. Let r = 3702 - l. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2*o - 11. Let v be c(-5). Solve -3*k = -5*y - 2, -3*y + y = -v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n**2 - 3*n - 2. Let f(x) = x**3 - x**2 + x - 1. Suppose 117*r - 2*b - 1 = 114*r, -b = -4*r + 3. What is r*y(h) + 3*f(h)?\nAnswer: 2*h**3 - 4*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5741, -14022, -22303?\n\"Answer: -8281*h + 2540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1 + (-1 + 2 - 2)*(0 - 4 + 5))*(-3 + 3 + 2 - 2*h).\nAnswer: -6*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -43.7. Let a = 111844\/6831 + -442\/27. Let l = -3050\/5313 + a. Sort k, -2\/17, l.\nAnswer: l, -2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.3, -3, 6\/55, 5 in descending order.\nAnswer: 5, 6\/55, -0.3, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35052, 70106, 105160, 140214, 175268, 210322?\nAnswer: 245376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/4140 and -89\/5237100.\nAnswer: 5237100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069256100 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 15635 - 102783 = 0. What is t rounded to the nearest one hundred?\nAnswer: 118400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -3295679169?\nAnswer: -3295679169.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 136\/408*6\/34\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 1, w: 1, a: 1}. What is prob of sequence moma?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**2 + 7. Suppose 3*i - f = 13, i - 4*i - 2 = -4*f. Let h(y) = -24*y**2 + 20. Calculate i*h(u) - 17*t(u).\nAnswer: -8*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 6*f**2 + f - 4. Let i(s) = -s**3 - 182*s**2 - 1728*s - 36. What is the least common multiple of k(-5) and i(-10)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 17*i. Give a(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*d**3 + 4*d - 4*d.\nAnswer: -235*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1582*y + 42855*y**2 + 1582*y + 3.\nAnswer: 42855*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 6:55 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 16. Let h(y) = 2*y + 10. Let g(v) = -5*f(v) + 8*h(v). Let u(d) be the first derivative of -3 - 3*d**3 + 6*d**3 + 6. Determine u(g(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*w - 60*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 596171 and 8?\nAnswer: 4769368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -285448 less than -319188?\nAnswer: -33740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 0*q**2 + 0*q**2 + (3 - 3 - q)*(-4*q + 3*q + 2*q) - 1769 + 1601*q + 814 + 953 + 4*q**2 to the form m*q**2 + x*q + r and give x.\nAnswer: 1601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 2. Let j be a(4). Let g be j\/(1*(1 + -2)). Let c(m) be the third derivative of m**5\/60 - m**4\/24 + m**3\/6 + m**2. Calculate c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 534 + -231. Let n be 305\/p + (-5)\/5. Let q = n - -167\/202. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.073 - -0.527. Which is the closest to k? (a) -4 (b) 1\/4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-3)\/(2 - 3). Let z be 45\/50 - y\/(-10). Let k(m) = -m**3 + 5*m**2 - 3*m - 2. Let l be k(4). Put z, -2\/17, l in decreasing order.\nAnswer: l, z, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -140839, -140872, -140927, -141004, -141103?\n\"Answer: -11*o**2 - 140828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 46*q**2 - 143*q + 64. What is the tens digit of x(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.99 - 7.99. Let f = 3.9 - -14.1. Let m = f - z. Which is the nearest to -5? (a) -2\/3 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhah when four letters picked without replacement from {a: 5, x: 3, o: 1, l: 6, h: 2}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242\/3 + 81. Let j(k) be the second derivative of -w*k**3 + 0 - k - 7\/2*k**2 + 5\/12*k**4 + 1\/20*k**5. Give j(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from -25188599729.\nAnswer: -25188599741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 55?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c. Let d(p) = 4*p**3 + p**2 - 3*p. Give -d(i) - 3*j(i).\nAnswer: -i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 3. Suppose 3*x + 58 + 38 = 0. Calculate the remainder when 5*(x\/(-10) - -1) is divided by i(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162867598 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238 - 105 + 343 - 5125*p.\nAnswer: -5125*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 5*a**3 - 15*a**2 - 25*a - 10.\nAnswer: 5*(a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f = 1240. Let r be f\/4*8\/(-2). Calculate the remainder when (8\/20)\/(2\/r) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22934237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34720 divided by -8?\nAnswer: 4340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 1191772\/88 - -1. Let h = u - 13542. What is the common denominator of 57\/56 and h?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:41 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z - 93*z - 94*z to the form p + h*z and give h.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 658551499?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Let p(z) be the second derivative of -1\/30*z**6 - 1\/12*z**4 + 0 + k*z**3 - z + 0*z**2 - 1\/10*z**5. Factor p(q).\nAnswer: -q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6447 is divided by 6342?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191279 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*a - 40*a + 20*a)*(3 - 5 + 1)*(4 + a - 4)*(5 + 3 - 4).\nAnswer: 340*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26541 and 5720652?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**3 - 20*y**3 - y + 12*y**4 + 12*y**3 - 37 to the form b + u*y + c*y**3 + x*y**2 + z*y**4 and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92877080.\nAnswer: 2, 5, 151, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n, 34 = 5*x + 3*n + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/10)*(b*b**(-2\/13)\/b)\/b)\/(b**(1\/3)*b**(-3\/7)) assuming b is positive.\nAnswer: b**(-3163\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p + 4*t - 216 = 0, 25*t - 27*t = -2*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 679.3515 years?\nAnswer: 6.793515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 5171 - 5301. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**7\/420 - g**4\/24 - g**3\/3 - 2. Let p(b) be the third derivative of h(b). Find the first derivative of p(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053457 rounded to four dps?\nAnswer: 0.0535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2376350, -4752738, -7129118, -9505490?\n\"Answer: 4*q**2 - 2376400*q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:40 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - -12. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9717 and 17742294?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x - 40. Find the second derivative of -x*v - 4 + v + 4 - v**5 wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let n be k(-5). Let h = -42 - -38. Sort n, h, -2 in ascending order.\nAnswer: n, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*t - 23 + 229, -2*b = t - 208. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.112 (b) 2.84 (c) -2 (d) -7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16523 - -16605. Solve i + 38 = -15*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 4*q**2 - 32*q + 32. Let w be l(-15). Suppose 1 - 16 = -5*t, -4*p = 5*t - w. What is p rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4532725 (base 8) to base 7.\nAnswer: 13264630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.51, 3\/8, -0.4 in ascending order.\nAnswer: -0.4, 3\/8, 2.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, 0.77, 3, -3 in descending order.\nAnswer: 287, 3, 0.77, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6491?\nAnswer: 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -7*k**6\/120 - k**4\/3 + 2*k**2 - 3*k. Let z(t) be the first derivative of w(t). What is the second derivative of z(m) wrt m?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153\/35 + 32\/7. Let o = -6.5 - -50.5. Let r = -44.4 + o. What is the closest to 1 in -0.2, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16322*21\nAnswer: -3.42762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12796688 is divided by 470?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4504.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 8. Suppose -10*h + w*h**3 - 25*h**2 + 59 - 59 = 0. What is h?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397439, 397358, 397213, 396998, 396707, 396334?\nAnswer: 395873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 - 596*f**2 - 21900*f + 22500 = 0. What is f?\nAnswer: -75, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 50 = x, 18 = 203*x - 200*x - 5*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*u - 39*u + 21*u**3)*(-28183 + 28183 - 84*u) as c*u**4 + j*u**3 + v + d*u + w*u**2 and give c.\nAnswer: -1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144858924*h - 6*h**3 + 144858924*h + h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 53*m + 25. Suppose -6*c + 10*c = 24. Let r be h(c). Suppose -3*i + 4*b - r = -1487, 4*b = 4*i - 1524. Round i to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 2*c - c + 24 + 2*c. Let r be q(-10). Solve d + 0 = r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m + 40 = -85*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 0, 5*i - 3*u - 10 = -u. Let h = 4 - i. Suppose p - 270 = -h*p. Calculate the greatest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, u: 1, y: 1, r: 1, t: 1}. Give prob of sequence utr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -8*o**7\/7 + 7*o**3\/3 - 3. Find the third derivative of g(w) wrt w.\nAnswer: -960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20*(-1)\/2)\/(2\/(-3)). Let v = s - -15. Do v and -28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-9)\/5)\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3837 + 218*k**3 - 2*k + 3840 + 2*k.\nAnswer: 218*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/(7\/2) + -1)*11 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y. Let k = 41\/2796 - -16\/233. Let z(v) be the second derivative of 0 + k*v**4 + 26*v + 0*v**2 + 0*v**3. Give z(w(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d - 7*d - 4217 + 4214)*(0*d + d + d + 10).\nAnswer: -50*d**2 - 256*d - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10185487 divided by 23.\nAnswer: 10185487\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(400)\/sqrt(968) - sqrt(50)))**2 + (-4 + -2 + sqrt(18))**2 + -1 + 3.\nAnswer: -36*sqrt(2) + 131776\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiuuio. Give prob of picking 2 i, 1 u, and 1 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Solve k*h - 5 = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -322063, -644307, -966551?\n\"Answer: -322244*m + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 6*l**2 + 2*l**2 + (-3*l + 3*l - 2*l)*(3*l - 2*l + 0*l) + 0*l**2 - l**2 + 0*l**2 + (1 - 1 + l)*(1 - 1 - l))*(248*l**2 - 129*l**2 + 137*l**2).\nAnswer: -1536*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 - 1\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33571 and 531?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6149*i**3 - 1470*i**2 + 1470*i**2 + 8489*i**3 - 4661*i**3.\nAnswer: 9977*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29779481 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3611 = 5797. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (150\/60)\/(9\/(-6)) - (-10)\/6. Suppose 5*x = 8 - 3. Solve c = 25*l - 26*l + x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 + -10 + -4 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3096*i - 4518. Is p(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 8*t**2 + 7*t + 2. Let d be w(7). Let r = 44 + -4. What is the highest common factor of d and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + m = -2*m - 81, -4*p + 5*m + 79 = 0. Suppose -p = 3*c - 6*c. Let h = 21 - c. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 348, 349, 352, 357, 364, 373, 384?\n\"Answer: l**2 - 2*l + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38649?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 120050 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r = 40. Let v(f) = f**3 - 6*f**2 + 6*f - 1. Let n be v(5). Suppose -5*x = -n*x. Solve 2 = 3*c + o, r = -2*o - x*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9)*273\/21)\/((-5)\/15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405\/10 + (-4531)\/394?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10119, 35337, 77361, 136185, 211803, 304209?\nAnswer: 413397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 206 - 141743?\nAnswer: -141535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 406, 420, 434, 448, 462?\n\"Answer: 14*n + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2315*y - 78658. Give u(-34).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -n - 4*n. Suppose 0 = -4*m - 0 + n. Let l(i) = 7*i**2 + i + 1. Let b be l(-1). Solve 5*t + 5*h - 8 = b, -m*t - h = -9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(1248\/(-18)))\/(3087\/(-392))\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**4 - 621008*z**3 - 764477*z**2 wrt z?\nAnswer: 48*z - 3726048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 - (3145 + -3096).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80.7 + -85. Let q = 9.3 + h. Let l be (3 - (-51)\/(-15))\/2. Which is the smallest value? (a) l (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1856 by -4.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*t + 4*t - 2*t)*(1 + 0 - 3) + 4 + 2*t - 4)*(-1 - 4 + 4 + (4 - 2 + 0)*(0 - 2 + 0) + 0 + 0 + 1).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 15) in base 2?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/6238541 and 21\/935.\nAnswer: 343119755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*((sqrt(2299) - (-5 + 2*sqrt(2299))) + sqrt(2299) + sqrt(2299))**2.\nAnswer: -13944 - 660*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*5*((sqrt(143) - (sqrt(143) - (sqrt(143) - -4*(sqrt(143) - sqrt(143)*1))))\/(sqrt(44)\/sqrt(4)*-1) + -2)*5.\nAnswer: 50 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 199436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -36112.\nAnswer: -36109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -40.2*0.07\nAnswer: -2.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Let l be (-12)\/36*(-6)\/v. Let z = -226 + 226.3. Which is the third smallest value? (a) z (b) l (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4493? (a) -3 (b) 9.9 (c) -1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16413 - -1?\nAnswer: 16414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d - 48. Let y be 2\/6 - 404\/d. Let q = 64 - y. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 6, q: 3, t: 5}. Give prob of sequence qqq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(12\/9 - 1\/3). Which is the third biggest value? (a) t (b) -1 (c) 0.2 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 19 = 3*s + s, 5*s - 5 = 0. Let k(m) = -m**3 + 9*m**2 - 7*m - 12. Let a be k(8). Sort a, -3, y.\nAnswer: a, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3597 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 15*c - 10. Let d be i(14). Suppose -12*m + 11*m - d = 0. Is 2\/m - (-134)\/4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 88126.15 centimeters?\nAnswer: 881261.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570*0.3.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 736.0000071 + -736. What is j rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254 (base 13) to base 9.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s + 29. Determine m(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*q + 413*q + 213273 = 0. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**5 - 1108*i**4 - 5644*i**3 + 1060*i**2 + 19224*i - 13536 = 0.\nAnswer: -4, -3, 1, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-15\/7)*(i**(-1\/4))**(3\/10) assuming i is positive.\nAnswer: i**(579\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*i**2\/15 + 11272*i\/5 + 712\/3 = 0. What is i?\nAnswer: -2\/19, 890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -687876.36 - 429?\nAnswer: -688305.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/15136 and -19\/8256.\nAnswer: 90816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*f + 37*f - 109*f + 29*f as d + t*f and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-3 + 17 + 5)*(-3 - 4*j + 2*j + 1).\nAnswer: -76*j - 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -9*p + 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1231 - 785 + 1639 = 695*g. Let a(c) = -4*c**2. Let i(l) be the second derivative of -5*l**4\/12 - 2*l. What is g*i(s) - 4*a(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*n - 97*n - 52*n + (2 + 2 - 1)*(0*n + 0*n + 2*n) - n + 1 - 1 in the form a + i*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -5, -1, 5, 13?\n\"Answer: h**2 - h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-7\/5)*d**(-24)*d*d**10*d*(d*d**32)\/d)**25 assuming d is positive.\nAnswer: d**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -44144000 < -44143999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*u - 32, i - 2*u - 3*u - 8 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2 + 7*o + 4. Suppose 9*h + 15 = 12*h. Suppose 8 + 7 = -h*l. Let t be i(l). Which is greater: -1\/12 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 11*v + 6. Is j(7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0 + 12 = 0, 88 = 5*p - 4*n. Let f = 75 - p. Suppose 52*w + 28*w - 200 = 40*w. Calculate the highest common factor of f and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(250)*-1))\/(-3*(sqrt(64) + sqrt(4) - sqrt(4)) + sqrt(72)\/sqrt(2)).\nAnswer: sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -28. Let h be 10 + ((-1)\/2)\/((-1)\/(-2)). Solve z*m = -h + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**4\/7 - 4*h**3\/7 - 10*h**2\/7 + 12*h\/7 = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 293599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 645362*b**4*g**3 - 33481*b**2*g**2 - b**2 - 3*b*g**3 wrt b.\nAnswer: 15488688*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 7*g**2 - 7*g + 47. Let b(a) = -a**3 - 4*a**2 - 4*a + 23. Give -7*b(i) + 4*h(i).\nAnswer: -i**3 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -273*o + 58432. Calculate t(214).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/10*1\/3. Let x(j) be the first derivative of 0*j**3 + 1 - a*j**5 - 1\/4*j**4 + 1\/2*j**2 + 1\/2*j. Factor x(l).\nAnswer: -(l - 1)*(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s - 40. Let i be n(11). Solve -i = 3*q, -4*o = -3*q - 15 - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*o**3 - 4*o**2 + 253*o + 4408819.\nAnswer: -234*o**2 - 8*o + 253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r**2 - 6*r + 1. Let x(m) = -25*m**2 + 17*m - 2. Calculate 11*l(f) + 4*x(f).\nAnswer: -f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*h + 447*h - 182*h + 3 to the form c*h + a and give c.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.68356027 - 83.68359927. Let o = k - -83. Round o to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340905958 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(15\/5) + -2. Sort -3, 1, l.\nAnswer: -3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 14) to base 3\nAnswer: -12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 16*x**3 + x**2 + 1 + 0 - 2. What is the units digit of r(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10291\/1435 - 4\/(-8)*-14)\/((-42)\/(-686))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 1 (b) -2\/7 (c) 7\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/9, 2\/51, -4\/7, 3\/7, 51, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 2126 + 2156 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + (3 - 2))\/(-1). Suppose s*j - 26 = 14. Let t(c) be the second derivative of -c**4\/12 + 3*c**3\/2 - c**2 + 32*c. Give t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:14 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2620284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160 - 64*s**2 - 160)*((-s**3 + s**3 + s**3)*(3 + 2 - 6) + s**2 - s**2 + 3*s**3).\nAnswer: -128*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 352572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/((sqrt(35) - sqrt(35)*-2)\/sqrt(5) + sqrt(7) - sqrt(7)))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 987940174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6134265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 54 = -5*v - 8*m, -v + 4*m = -30. What is the remainder when 69 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r + 3. Let w be x(-4). Let a = w + -31. What is the third derivative of 15*p**2 - 34*p**3 - a*p**6 + 34*p**3 wrt p?\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155*q - 1151*q - 27 = 5*y, -45 = 5*q + 5*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 45) + (-4 - -28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -18. Suppose 0 = -5*p + c + 10. Suppose 7*f + p = 6*f. Are f and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1666902 divided by 6486?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6aba - a?\nAnswer: 6ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 15 = 5. Let d = -37 - -20. Sort -4, x, d in descending order.\nAnswer: x, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 2*y. Let a(h) = -8*h**2 - 9*h - 1. Suppose 3*p - 2*k = p + 16, 3*p - 4*k = 23. Let n(u) = p*b(u) + 2*a(u). Differentiate n(w) wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + -2)\/15 + (-32)\/12 - -12154.\nAnswer: 29, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 5007513\nAnswer: 2\/5007513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -4 - -20 - (62 + -31 + -47)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 470 = 26. Suppose 0 = -5*o - b + z, 0 = o - 10*b + 5*b - 34. What is the highest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283740671.\nAnswer: 941, 301531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 8 = -2*o. Suppose 4*w = -2*a, 3*a - 20 + 0 = -w. Sort a, o, -3 in increasing order.\nAnswer: -3, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.0005519 - 4. What is h rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3032173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6*(-6)\/4. Let v = -0.5 - -0.3. Let u = -51\/2 + 28. Which is the closest to r? (a) -0.4 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + 5*(sqrt(833) - (sqrt(833) + (0 + sqrt(833) + -1 - sqrt(833)) + sqrt(833))))**2*-5.\nAnswer: -104250 + 1750*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -9*y - 2*y. Is 13 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -296 - -301. Solve -p + 14 = v + 12, h*p = v + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcbt. What is prob of picking 1 t and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41.99 + 86.\nAnswer: 44.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.33186km to centimeters.\nAnswer: 9433186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1161 less than -106?\nAnswer: -104.8839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 - -1533. Is r a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-6)\/224)\/(6\/(-315)*-9).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {i: 5, s: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-614 + 19*s + 614)*(3 - 5*s + s + 2*s) in the form t*s**2 + r + d*s and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-12) + (-3971)\/76. Let s = 46 + c. Sort -11, s, -1, -4.\nAnswer: -11, s, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.7 and 1.02.\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5)\/(i\/(i**1*i)))\/(i*i\/(i**0*i))**(4\/17) assuming i is positive.\nAnswer: i**(116\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:43 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 30\/47, -4 in descending order.\nAnswer: 30\/47, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1224932 by 746.\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 12*c - 9. Let l be z(5). Let q(k) = 4*k**2 - 9*k + 17. Let d(g) = g**2 + 4. Let y(r) = l*q(r) - 5*d(r). Determine y(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236 + 120 - 140 - -117\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46719.1 micrograms to tonnes.\nAnswer: 0.0000000467191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 208990 - 30598. Let i = 269279\/6 - o. Let m = i - 281. Which is the second smallest value? (a) -2\/17 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 9907241\nAnswer: 8\/9907241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 0, 5.\nAnswer: -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -166.35 * -4.\nAnswer: 665.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q = 8 - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 3895?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2050 divided by -2.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(891) + -1)**2*-6 + -4).\nAnswer: -540*sqrt(11) + 26780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.72 and 0.2?\nAnswer: 2.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10110010111010101000?\nAnswer: -10110010111010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233.199998013 + -233.2. Round o to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 490*u**2 + u. Let z(h) = -2*h. What is i(z(o))?\nAnswer: 1960*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 815, 1215, 1615, 2015?\nAnswer: 2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**3\/2 + 312*y. Let j(p) be the third derivative of -3\/8*p**4 + 0*p + 0*p**3 + 0 + 6*p**2. Determine j(r(d)).\nAnswer: 27*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = -4, -36 = -4*v - p. Let u(n) be the second derivative of 19*n**3\/6 + 31*n**2\/2 + 20*n. List the prime factors of u(v).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84? (a) 2 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -26*r**3 - 10*r**2 - 11*r - 6. Let y(c) = -2*c - 9*c - 15*c - 4*c + 1 + 5*c**3 + 32*c + 2*c**2. Calculate 2*d(p) + 11*y(p).\nAnswer: 3*p**3 + 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 173*t**3 - 15*t + 169*t**3 - 341*t**3 + 12*t**2 = 0. What is t?\nAnswer: -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -233. Let j be (-522)\/i - 3\/(-18). Solve -2*m - 13 = -2*b - 3*m, j*b - 2*m = 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 943 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 460\/45 + 4\/(-18). Suppose -s - 14 = 2*p. What are the prime factors of 1056\/14 - p\/(-28)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 4. Let v be n(4). Suppose 11*p + v = 9*p. Put -1\/7, p, 12\/13 in increasing order.\nAnswer: p, -1\/7, 12\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 27*p**2 + 28*p + 6. Let x(t) = 2*t**3 + 5*t**2 + 9*t + 8. Let a be x(-3). List the prime factors of o(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4376039?\nAnswer: 127, 34457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 4*p + 0*p)*(-1 + 2 - 2) in the form v + s*p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-4) - (-91)\/(-364). Let u(z) = 1 + 4 + k*z - 5 - 11*z. Let t(v) = -24*v. Determine u(t(f)).\nAnswer: 216*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 + 1 - 9) - (6 + 43 - 79)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*r - 79. Let w(v) = -v**2 - 15*v - 11. Let u be w(r). Let k = -22 + u. Calculate the remainder when 64 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128310 divided by 3055?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10909\/402 < 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:54 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -14) + -9 + (-5 - 0 - -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 1439484*y - 14395240 = 0. Calculate y.\nAnswer: -359881, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 163970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-four fifths of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37076 divided by 14.\nAnswer: -18538\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115 plus 16424876?\nAnswer: 16424876.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (735\/27 - -1). Let w = h + -30. Which is the second biggest value? (a) -4 (b) -1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57158437?\nAnswer: 7, 17, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c + 1 = -5*t, -2*t + 4*c = -22. Suppose 4*k - 4*u = 32, -2*k + t*u + 11 = -9. Let j(x) = x + 6. Let y be j(-6). Solve -16 = -k*n - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -123, -187?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1666, -3333, -5000?\nAnswer: -6667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.4856 millilitres to litres.\nAnswer: 0.2554856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 13 + 9 + 3 + 6 + 37*i**2.\nAnswer: 37*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 460\/7 + -9043\/126. Let l = 226195\/18 + -12572. Calculate the common denominator of r and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 6*z**2 + 3*z - 17. Let d be x(-4). Which is the nearest to 1? (a) d (b) 0 (c) 0.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 786818, 786802, 786786, 786770, 786754?\n\"Answer: -16*c + 786834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 0.2. Let n = -1.3 + s. Which is the third smallest value? (a) 0.3 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(-3\/2)*k*k)\/k**(-2\/11))\/(k\/k**(-2\/27)*k\/(k\/(k*k**7)))*(k**(-2\/9)\/k)**(-22)\/(k*k**0)**(-4\/11) assuming k is positive.\nAnswer: k**(14767\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 210*b*d*k**3 - 2*b - 5*d*k**2 + k**3 + 2160*k wrt d?\nAnswer: 210*b*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 equal to -19023\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 39*n**2 - 398*n - 30. Let q be i(-24). What is the highest common factor of 1274 and q?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 - 0 - 0\/2. Let l(f) = f**3 + 189*f**2 + 191*f + 577. What is the remainder when (-4)\/(-10) - 506\/p is divided by l(-188)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 55 = -h. Let o be (-3)\/(-3) - (-24 + 31). Calculate the remainder when 287*((-369)\/63 - o) is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.01873*7\nAnswer: 7.13111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014730804?\nAnswer: 2, 601, 422101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*q - 7*q + q + 3*q to a + c*q and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**3 - 171972*v**2 - 425*v - 199.\nAnswer: -12*v - 343944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -18767, 1.8 in increasing order.\nAnswer: -18767, -4, 1.8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 257*w**4 + 312 wrt w.\nAnswer: 1028*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*d + 48, 0 = 2*w - 3*d - 26. Let c(y) = y**3 - 5*y**2 - 12*y - 10. What is the remainder when w is divided by c(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-6)*b)\/(b**8\/b)*b\/(b*b**(4\/7))*b*b*b**(-1))**15 assuming b is positive.\nAnswer: b**(-1110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8507869 is divided by 289.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-9 + (-2 - -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51558, 52462, 53962, 56052, 58726, 61978, 65802?\nAnswer: 70192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*j**4 + 18*j**4 + 14*j**5 + 12*j**4 - 9*j**2 wrt j?\nAnswer: 840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 6?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235.2739 + 0.1261. Let x = -235 + l. Let y = 143 + -717\/5. Which is the closest to y? (a) -5 (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v + 7866 = 0. Let l be v\/(-90) - 2\/15. Let u(k) = 2*k - 3. Let f be u(4). Solve -f*j = -l + 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = -2*c, 20*w = 22*w - c - 3. Let t be 4\/(-14) - (-2)\/7. Factor -2\/3*x**2 + t*x + w.\nAnswer: -2*x**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 + 30*g + 62. Let c(a) = 64 + 19*a - 3*a - 4*a**2 + 14*a. Let v(l) = 6*c(l) - 4*u(l). Solve v(h) = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-3 - -6) + 442 + -396.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -663.\nAnswer: 5\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -3*j, -19 = -3*j - 3*b + 2. Put -4, -7, j in descending order.\nAnswer: j, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 16?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -347, -1389, -3127, -5561, -8691, -12517, -17039?\n\"Answer: -348*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 1.38, 14 in decreasing order.\nAnswer: 148, 14, 1.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 0*y + 4 + y + y - y**2. Let s be d(3). Let o(h) be the third derivative of h**6\/60 + h**5\/60 - 3*h**2. Give o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 616973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1) + (-4 + 12 - 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (459\/(-34))\/(1647\/(-4636))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 8 - 2. Let g(x) be the second derivative of x**2 + 1\/2*x**3 - 9*x + 0. What is g(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2*-11)\/(27\/(-162)). Suppose 3*t + t - 16 = 0, 167 = -5*h + 3*t. Let x = f + h. Sort x, -6, 1, -1 in decreasing order.\nAnswer: x, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/120785 and 61\/127687?\nAnswer: 4469045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfrbfffccuddfbd. Give prob of sequence rf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 29768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23946)\/(-19955)*(-790)\/12.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1289295673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -55. Let d = a - -45. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.3, -925\/159?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 16*i = 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41\/4, -52\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x - 5 = 51*x + 3*l, -3*l = -3*x + 21 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.2 (b) 3 (c) -3.1 (d) 0 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - 12*s - 2*s)*(3 - 4 - 1)*(-171*s**3 + 236*s**3 - 373*s**3) to the form v*s**3 + x*s**4 + a + c*s**2 + r*s and give x.\nAnswer: -5544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 952034271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002146722 to 7 decimal places.\nAnswer: -0.0002147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*n - 3994 = 836 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2260.8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l - 112*l + 35*l - 184*l.\nAnswer: -283*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (2 + sqrt(1008))**2 - (-1*(sqrt(1008)*-1 + sqrt(1008)) - ((-1 + sqrt(1008) - sqrt(1008)) + -3))**2.\nAnswer: 48*sqrt(7) + 992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-80) - (24 - (-2618)\/(-110))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(7) + 0 - (sqrt(7) - (-5 + sqrt(7) + sqrt(42)\/sqrt(6))))**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -543.9009 to the nearest integer.\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -48. Let q be 1*(0 + -1)\/k. Let a(i) = 2*i**3 - 2*i**2 + i. What is a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 5. Let m be p(7). Suppose 0 = 5*g - 5*n - 85, -4*n + n = g - 17. What is the second derivative of 1 - 1 - 122*y + 125*y - g*y**m wrt y?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**3\/6 - 2*c**2 + c. Let o be 28034\/1965 - (-20)\/(-75). Calculate n(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l - 14*l + 24*l + 85*l**3 - 668*l**3.\nAnswer: -583*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -3126.8\nAnswer: 15634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 1:24 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10819, -10813, -10803, -10789?\nAnswer: -10771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 7*h + 0*h)*(h**4 - h + h - 2*h**2).\nAnswer: 6*h**5 - 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136793*v**3 + 48300*v + 2 wrt v?\nAnswer: 820758*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*s - 13*s = 182424. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*x - 14 - 10, k + 2 = 3*x. Suppose -4*j - 4 = -3*n - 48, 0 = 4*j + k*n - 16. Calculate the remainder when (1060\/j)\/(-5)*-2 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114035 = 1452*o + 2485*o + 241053 + 136761 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**2 - 5*r - 7. Let d = 20 + -14. Let g(a) = -7*a**2 - 4*a - 6. Let c(t) = d*u(t) - 7*g(t). What is the second derivative of c(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215769.\nAnswer: 1215769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -11931\nAnswer: 1\/11931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 2\/11 (c) 3\/8 (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23425 divided by -12?\nAnswer: -23425\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6781 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 u = 44 - 39. Suppose -4*n = -4*o + 88, -4*o - 34 = -u*n - 119. Solve -2*i + 7*i = 5*q - o, 25 = 5*q - 3*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose c = -u + 3*j + 8 + 5, 4*j = -2*u + 6. Let l = 12 - u. Let t(a) = a - 12. Calculate t(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 439228482 and 2096556?\nAnswer: 878456964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84777808?\nAnswer: 2, 31, 59, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, c: 2, i: 1, z: 2}. Give prob of sequence zi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*z - 77*z - 1152 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1364728, -1364729, -1364730, -1364731, -1364732, -1364733?\nAnswer: -1364734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**5\/60 + 3*n**4\/8 - 4*n**3\/3 + 50*n**2. Let a be t(-10). Let w(u) = -u**3 + u**2 + 2*u + 1. Determine w(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 3:48 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14650 and -0.2?\nAnswer: -2930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 470.06 - 470. Let v be (5\/2)\/(1\/2). Let l be (-2)\/(v + 0 - -2). Which is the biggest value? (a) l (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -147*h - 1593. Calculate s(-16).\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 2*w**4 + 2*w**4 + (-2*w**2 - w**2 + w**2)*(3*w**2 - w**2 - 4*w**2) - w**4 - 3*w + 3*w - w**4 + w**3 - w**3.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**2 + 6 + 2 - 6 - 15*p - 2 + 1 as m*p**2 + o + z*p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -859 - -1685\/2. Calculate the common denominator of i and 29\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/6))\/n**(-3\/2))**(1\/71)*((n\/n**(2\/7))\/n**7)**(1\/2) assuming n is positive.\nAnswer: n**(-4630\/1491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 1895 + 2*o**2 - 24*o**3 + 1895 + o**2 in the form u*o + l*o**2 + h + n*o**3 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 578708 and 5642.\nAnswer: 4050956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*k**2*v**2 + 27*k**2 + 13927*k*v + 266 wrt v.\nAnswer: -8*k**2*v + 13927*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1053007 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13434*o + 5776660. Calculate u(-430).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usuu when four letters picked without replacement from ugugussskuuu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -781 (base 13) in base 14?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817225887?\nAnswer: 1817225887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.105 in 14, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/3 - 41018*g**4 - 1892724334*g**3\/3 + 1892970446*g**2\/3 + 630908112*g - 1892847392\/3 = 0. Calculate g.\nAnswer: -30764, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**4 - 5*y**3 + 3*y**3 + 5*y**4)*(-1 + 8 + 4) - 3*y**4 + 2 + 6*y**4 - 3.\nAnswer: -8*y**4 - 22*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugnbkuggennku. What is prob of picking 2 k?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45949 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.053 - -10.947. Let t = y - -4.6. Let b = t + -17.69. Round b to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 13*i - 314. Let s be y(-16). Which is the fourth biggest value? (a) s (b) 0.3 (c) -0.2 (d) 0 (e) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, u: 2, d: 8}. Give prob of picking 1 d and 1 k.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w + 2\/3*w**3 + 1\/2*w**4 - 1\/3*w**6 + 0*w**2 - 2\/5*w**5 - 5. Find y, given that i(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 5*r + 6. Let u be q(-5). Let o(l) be the second derivative of l**5\/20 - l**4\/2 + l**3\/3 + 3*l**2\/2 + l. What is the tens digit of o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 - 64*a + 234. Give q(5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let y = -0.68 + 0.38. Which is the second smallest value? (a) y (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -12, 1002, 1\/4, 5?\nAnswer: 1002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**8\/168 - r**7\/105 + r**6\/60 + r**5\/30 - 27*r**2. Factor d(b).\nAnswer: -2*b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31217793\/5 <= 6243559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 12 + 7 + f + 9.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 - 15.4. Let w = h + 44. Let i = -32.21 + w. Round i to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*j**2*s**2 - 1265*j**2 - 12*s**2 + 7316*s - 2 with respect to j.\nAnswer: -18*j*s**2 - 2530*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 28764*m + 14003*m + 13967*m + (-2*m + 0*m + m)*(-2 + 2 - 2).\nAnswer: -792*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104 divided by 8?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6 + 6 + 6 + b**2 - 8*b. Determine g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2794, 0.2, 3\/2, 2\/11, 4 in decreasing order.\nAnswer: 2794, 4, 3\/2, 0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/4 + 75*n**3\/4 + 93*n**2\/4 - 399*n\/4 + 117\/2 = 0 for n.\nAnswer: -3, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 17*q - 17. Let z(p) = p**2 - 8*p - 8. Let g(a) = -5*a - 8. Let c be g(1). Calculate c*z(n) + 6*d(n).\nAnswer: -n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.55 - 0.45. What is the nearest to -2\/15 in -1, y, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104591037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.10326 + -0.10326. Let c be 2\/(-3)*-6 + 0. What is the closest to 0.1 in 0.4, c, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - (4*-3)\/(-4). Suppose 0 = h*b - 13 - 2. What is the smallest common multiple of b and (-14)\/(-4)*12\/7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2371824 and 26064?\nAnswer: 2371824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56\/3*(14 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + (3 - (-2 - -11)) - -114?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -11. Let o(d) = -3 + d + m. Suppose -4*j = -5*f + 19, -2*j + 0*j - 4*f = 16. Let i(t) = -t. Determine j*i(a) - 4*o(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/17 - 10*m**3\/17 + 16*m**2\/17 - 8*m\/17 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -409.0295 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 360, 8 in descending order.\nAnswer: 360, 8, -40","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 26174684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -13. Let z = f + -6.056. Round z to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**5\/10 + 5*w**2\/2 - 3*w + 1. Let q(g) be the first derivative of l(g). Differentiate q(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25878)\/(-46683)*-3 - 84\/(-49)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 14) in base 10?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**4 - 26*h**3 - 1317*h**2 + h + 4613937.\nAnswer: -4*h**3 - 78*h**2 - 2634*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from gggamammmgagmggmmm?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -363*w + 4051. Is 116 a factor of v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*c - 16*c**2 + 132*c + 50*c**2 + 220*c**2 + 112*c**2.\nAnswer: 366*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g**1)\/(g*g*g**2\/g*g*(g\/g**(-2))\/g) assuming g is positive.\nAnswer: g**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76056709 greater than or equal to 76056709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-30) + (13\/360 - (-79)\/(-632))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112947 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 104933220 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**11*d*d)**(2\/15)\/((d*(d\/d**4)\/d*d)\/((d**(-2\/55)\/d)\/d)) assuming d is positive.\nAnswer: d**(302\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let v(q) be the second derivative of 43\/12*q**4 + 1\/2*q**2 + 0 + 0*q**3 - 37*q. What is s(v(n))?\nAnswer: -43*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1 - ba7a?\nAnswer: -bb4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 - 1 + 1 - 166*j**5 - 562*j**5 - 254*j**5 + 224*j**5 + (5 + 2*j**2 - 5)*(-3*j**3 + 2*j**3 - j**3).\nAnswer: -760*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -5 (c) -1\/148 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**4\/24 + 7*t**3\/6 + 9*t**2. Differentiate r(b) with respect to b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.83 and 13.59184151.\nAnswer: 21.42184151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -997810 or -9978099\/10?\nAnswer: -997810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11853 and 185697?\nAnswer: 557091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57405585 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 - -260. Suppose 0 = 4*s - 6*s + 8. Suppose -s*c - c = -p. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691517803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 39*r**3 + 19 + 38*r**3 - 53*r**3.\nAnswer: -54*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1806 - 138*q**2 - 901 + 2*q - 905 in the form p*q + o*q**2 + f and give o.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 5. List the prime factors of d\/(402\/135 + -3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*g = 6426, 4*g - 16043 = -5*s + 5*g. Suppose -4 = 2*o + 2*o, -3*u + 2*o = -s. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1592813 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001539 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3*y**4 - y**2 - 2*y + 168. Let f(x) = 120*x**3 + 21*x + 21. Give 21*d(p) + 2*f(p).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, o: 3}. Give prob of picking 2 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(2*(-60)\/(-320)*16\/42).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3913 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 4 - (-15)\/6. Suppose 0 = -3*j + 4*q + 7, -15 = -4*j - 3*q + 11. Let m be 2\/j - (-12)\/(-5). Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204820 and 766213.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -92 (c) 2\/45143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 at most -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3474 - -3472.9964. Let c = 35 + -34. Let y = j + c. What is y rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14110 + 53854 = 0. What is the highest common factor of l and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, 343933, 7 in increasing order.\nAnswer: -67, 7, 343933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19435402*g**2*p**3 - 4*g**2*p + 2*p**4 - 989248*p**2 wrt p?\nAnswer: 116612412*g**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67, 79, 87, 91, 91, 87?\n\"Answer: -2*x**2 + 18*x + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - 1.7. Let h = -0.1 - y. Let z be (-6)\/(-4)*8\/6. Which is the biggest value? (a) h (b) z (c) -10 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 1 = 0, -6*b - 106 + 110 = 2*o - 8*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 63*d - 70*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063373 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + ((sqrt(245)*2 + sqrt(245) + sqrt(245))\/sqrt(5))\/(sqrt(7) - 1*sqrt(63)).\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 441 + -430. Suppose -3*t = 4*v - 352, -2*t + 265 = -d*v + 14*v. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805045740.\nAnswer: 2, 3, 5, 13417429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:06 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + n = 5*a + 24, -4 = n. What is the remainder when 540\/28 + 4\/a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*w - 20 - 19, -5*x + w + 44 = 0. Let y = x - 7. Is 3 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**5 + 262*g**4 - 138*g**3 - 394*g**2 + 134*g + 132 = 0.\nAnswer: -66, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/2 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (7 + -8)\/((-2)\/28) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) + 78\/21. Suppose -3*k - 1 + b = 0. Suppose 5*p - 5*s = k + 49, -4*s + 95 = 5*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -25*h - 7*h. Does h = 6\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 178, 387, 680, 1057?\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -11 + 0 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3154*c = 1559*c + 1550*c + 3465 for c.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 45 = -5*s, -3*p - 4*s + 2 - 3 = 0. Let m(g) = -g**2 + 2*g + 10. Let z be m(p). Let i(x) = x + 5. Give i(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4))**25\/(b**7*b**(-1\/2)*b)*((b*b**(2\/3)\/b)**(-32))**(1\/19) assuming b is positive.\nAnswer: b**(-541\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 divided by 5?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k - 438244 = -2142462. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 79, 175, 309, 481, 691?\n\"Answer: 19*y**2 + y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -4.74?\nAnswer: -4.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 69035\/12 + 4\/12. Let s = -5704 + n. Let f = -49 + s. What is the closest to f in -3\/5, 1\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 17, 12, -3, -28?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 1. Let i be v(3). Let o(t) = -5*t**2 - 3*t + 9. Let q(f) = -3*f**2 - 2*f + 5. Let n(j) = i*o(j) - 7*q(j). Factor n(g).\nAnswer: (g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - -40 - (-1 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (32 + -12 + -49)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -28. Solve 0 = h*q - 4*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104842040 by -207608.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -51, -46, -29, 6, 65, 154, 279?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 89500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 2. Let q be i(6). What is the remainder when (-589)\/(-4) - (-1)\/q is divided by (-3663)\/(-66)*1\/(-3)*-2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 7*s**4\/24 - 5*s**3\/6 - 519*s**2. Let l(b) = -13*b + 9. Give -6*l(q) - 11*u(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgav when four letters picked without replacement from {a: 1, v: 4, o: 6, h: 2, g: 1, c: 4}?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 465546455 to the power of 1\/2, to the nearest integer?\nAnswer: 21577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.383 - 43.903. Let u = -2.92 - w. What is u rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273915507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - 14*j**4 + 3 - 1 - 1 wrt j?\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (6\/(-2) + (11 - 5)). Let b be 662\/(-4)*(6 + k + -11). Suppose -10*c + b = -9*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/60 + z**4\/8 - z**3\/6 - 36*z**2. Let s be (-2 + (-1 - 0))*1. Determine a(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 77*a - 78*a - 20 = 0, -2*g = 5*a + 32. Solve 1 = -24*d + 23*d, -g*b - 5*d = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {l: 1, q: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -471, -455, -439?\n\"Answer: 16*d - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 6*a**2 + 4. Let f be m(6). Let u(b) = -30*b - 134. Let o be u(-5). Let i be (o\/16)\/(1*3\/33). Solve i = f*d - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -0.1331726.\nAnswer: -0.6331726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2094019*i**4 - 1385498?\nAnswer: -8376076*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) + -1)*-1 + -1)*-6*4 + -3 + -5)**2.\nAnswer: -2688*sqrt(5) + 141184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -21*(-5 - (-1 + -3)). Let n be 3\/(-2)*(-70)\/h. Let a(f) = -f**3 + 6*f**2 - 3*f - 5. Let w be a(n). Calculate the highest common divisor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by ((-82)\/(-4) - 0)\/(21\/42).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -285 - -290. Which is the nearest to -2\/5? (a) 1\/2 (b) -1 (c) f (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.769 - -0.031. Let l = p - 6.2. Let o be ((2 - 1)*-2)\/(-2) + -4. Which is the fourth biggest value? (a) -5 (b) l (c) -0.5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 6*z + 2*z - 13*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 6956861 = 2950. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4635*m - 15*m**2 - 4635*m in the form u*m**2 + h*m + z and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*s - 2*s. Let m(i) = -5 + 0 + 0*i**3 + 1 - 3*i**3. Let x(k) = -5*k**2 - 2*k - 1. Let b be x(-1). Let u(h) = 8*h**3 + 11. Give b*u(n) + s*m(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1. Let h(w) = w - 5. Give 6*f(i) - h(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-108)\/15)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5 - 41590*b**4 - 332604*b**3 - 249364*b**2 + 1662910*b - 1039350 = 0.\nAnswer: -20787, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {p: 1, x: 2, h: 1, o: 2, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/1382 - 50099\/2073. What is the common denominator of -73\/3 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3 - 1. Let y = -269 + 461. Is 24 a factor of (7\/14)\/(h\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -6. Let n(z) = -3*z + 1. Let g(a) = 2*a**3 - 36*a**2 + 12. Let t be g(18). Let s(y) = -9*y + 2 + 10 - 21 + t. Determine v*s(u) - 17*n(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -89*a - 274. Determine h(6).\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7581 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -8 - 1\/(-8). Let m(z) = 3*z - 9. Let x be m(13). Let v = x + -29. Which is the second biggest value? (a) -4 (b) 0 (c) v (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-12)*((-84)\/27)\/7. Sort 0.18, 0, x.\nAnswer: 0, 0.18, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + o - 4*c = 32, 3*o = 4*c + 27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r - 3. Let y(w) = 4*w - 1. Suppose 2*x - 2 + 6 = 0. Let z(d) = x*n(d) + 5*y(d). Determine z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312559233 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m = 75*m + 3*q + 26, 2*q = 6 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000436185 rounded to 6 decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 14*s**3 + 19*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(448) - (sqrt(448) - sqrt(448)*5)**2).\nAnswer: -7163 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.4, -3\/35, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -9 (b) 5 (c) 1\/8 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c + 14*c - 16 - 29*c + 8*c - 12*c**2 to b + a*c + i*c**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 27. Give c(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2119\/35 + 428\/7. Which is the biggest value? (a) 2 (b) o (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621167 is divided by 63?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ywwwwwwwyww.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 12 - (6 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2 - 1 - -6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01043511 to 4 dps.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 1 - 1)*(0 + 3 + 0)*(y - 5*y + 3*y)*(-4 + 4 + y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**2 - 14 + 4 - d + 0*d - d**3. Calculate the remainder when u(7) is divided by (-66)\/48*-2*4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 21*c**4 + 9*c**2 + 32. Let r(o) = 21*o**4 + 11*o**2 + 30. Let w(h) = -5*b(h) + 4*r(h). Differentiate w(a) with respect to a.\nAnswer: -84*a**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27749 - -27747. What is the closest to s in 1\/6, 2\/49, -0.043?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 35. Suppose m + 4*r - 5 = -l, 3*m = -3*r. Suppose m = 5*f - 5. What is the least common multiple of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 11:12 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 63 + 43 + 95 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 231.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345337916?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g - 7. Let s(u) = -u**2 + 6. Calculate 3*r(c) + 4*s(c).\nAnswer: -c**2 + 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 410861, 1643560, 3698095, 6574466, 10272673?\n\"Answer: 410918*p**2 - 55*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i + 3*l - 19 = 0, 5*i + 4*l - 65 = 0. Calculate the highest common divisor of 136 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74.951 - -0.049. Let m = -145 + h. Let k = m - -70.0051. What is k rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 518\/13 - 40. Let x = -2 + 3. Which is bigger: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 16 - 16)*(-2 + a + 5*a + 0).\nAnswer: -6*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b = -l + 128*b + 255, -10 = -l + 2*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 976182046 to the nearest integer?\nAnswer: 31244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8883 is divided by 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9\/2)\/(y**(-3)*y))\/(y\/y**3*y*y)**(1\/45) assuming y is positive.\nAnswer: y**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-5\/3))\/i*i\/(i**26*i))\/(i\/(i**(1\/43)*i)*i**(11\/6)\/i) assuming i is positive.\nAnswer: i**(-2363\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 245 (b) -7\/219 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 620 in descending order.\nAnswer: 620, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*m - 20*m - 18*m)*(-3*m**3 + 7*m - 7*m)*(6 - 6 + 12*m).\nAnswer: 684*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3734 - -3739. Solve -2*n + 4 = -2*r, l*n = -4*r + r - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616327532.\nAnswer: 2, 7, 13, 659, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 + 8*q - 10. Let k(v) = v. Let j(w) = 3*k(w) - y(w). What is the units digit of j(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -20. What is the nearest to 1 in 0.3, c, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 416.22947 - 0.02947. Let k = u - 416. What is the fourth biggest value in 1, k, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -2*n**3\/39 - 3272*n**2\/13 - 5352992*n\/13 - 576. Factor i(k).\nAnswer: -2*(k + 1636)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606893.\nAnswer: 7, 181, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 135666605 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5\/9 + 604*b**4\/9 + 7360*b**3\/3 + 26368*b**2 = 0 for b.\nAnswer: -103, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -70560 divided by 784\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**4\/12 + 12*r**2 - 1. Let z(i) be the first derivative of 5*i**2 + 1. Determine p(z(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 g, and 2 p when four letters picked without replacement from bbppbgcbcbbbbcbc?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/29 in 6, -1\/20, -10?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/15 (b) 2\/7 (c) 2\/35 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*j = 2*l + 109, 3*l - 2*j - 158 = 0. Let u = -23 + l. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*d*y**2 + 3*a*d - 23481*a*y**2 - 4*a - 80*d wrt y?\nAnswer: 4*a*d*y - 46962*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 940 and 12?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y - y - 30*y to the form s*y + l and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.572799 + -0.126917. Let h = t - -0.7. What is h rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136.2 - 139.2. What is the closest to 1\/2 in -4\/7, n, 12, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + ((sqrt(3)*-2 - sqrt(3)) + sqrt(3))**2 - (sqrt(27)*1 + 2).\nAnswer: -3*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 5*b, -b + 4*h - 4 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3463657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d = 4*h + 6*d - 137, 2*h - 649*d = -653*d + 16 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, and 1 e when three letters picked without replacement from {p: 7, q: 1, d: 2, e: 3, f: 5}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*4*(-2)\/8. Suppose 0 = -o - 4*t + u, o + 5*t = -1. Calculate the highest common divisor of 63 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7524260369 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s - 92. What is the lowest common multiple of 48 and l(-14)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)*w)**(-5\/16)\/(w\/(w*w**(-3\/7)))**(-22) assuming w is positive.\nAnswer: w**(1651\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001069 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007768436981 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:34 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -5*x**4\/24 - x**3\/6 + 39*x**2\/2 - 2*x - 28. Let j(k) be the first derivative of p(k). Calculate j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 11:55 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.017 - 17. Let c = 0.473 + m. Let q = 0.09 - c. What is the third smallest value in -0.5, -4\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 467, 450, 423, 386, 339?\n\"Answer: -5*v**2 - 2*v + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1864.93 to the nearest ten.\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5016088963 to the nearest integer?\nAnswer: 70824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -13*y - 44. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15247.1657 plus -83.8?\nAnswer: 15163.3657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259100103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 + 2748*q**3 + 30640*q**2 + 50256*q = 0. What is q?\nAnswer: -9, -2, 0, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**8\/2688 - h**7\/560 - h**6\/320 + 11*h**5\/480 - h**4\/32 - 1891*h**2. Find j, given that p(j) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4398*w**2 + w + 2. Suppose 4*u - 27 = -31. Is j(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105561 is divided by 35187.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-2)\/14*(1 - -1). Put -2\/21, x, 1 in increasing order.\nAnswer: x, -2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6840.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2210?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1569135 and 174105.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-24) - 0 - 15\/12. Let p = 209\/28 + -31\/4. Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4212 and 1404?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from ffluddfuuf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiisii. What is prob of picking 4 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962 a factor of 621762169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from {u: 3, c: 2, p: 2, w: 4, t: 6}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 268\/28 + 6\/14. Factor -9*r + 0*r - 6*r + w*r**2 + 0*r - 20.\nAnswer: 5*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437233 (base 8) to base 15.\nAnswer: 2d8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -992 divided by -3380?\nAnswer: 248\/845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + a**2 + 3*a**2)*(-a - 2*a + a)*(0*a + 3*a**2 + 0*a) - 7*a**5 - 7*a**5 + 2*a**5.\nAnswer: -30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -826*z**3 + 420*z**3 + 401*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -2055?\nAnswer: 2058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.7244 times -8379\nAnswer: 6069.7476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 111*v - 18. Let l be n(-4). Let u = -227 - l. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9761*i + 234273. Give k(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82034316 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -3*s + v + 46, 0 = -4*v + 48 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.92 + -0.08. Let d = -5.005 - b. What is d rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrn when three letters picked without replacement from rrrrrrrnnrrnrn.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 854 and 560.\nAnswer: 34160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4965 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 245*j - 1. Let t be b(0). Suppose 0 = -w, -2*d - 10 = 3*w - 0*w. Put 0, d, -4, t in increasing order.\nAnswer: d, -4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320895 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 23*l**2 - 48*l + 27. What is the hundreds digit of p(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2864269 plus 119254?\nAnswer: -2745015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 16 - 1. Let v(n) = -n**2 + n + 1. Let x(s) = s**3 + 5*s**2 - 2*s - 5. Let u(r) = 5*v(r) + x(r). Let a(c) = c**3 + 2*c. Give z*a(d) + 2*u(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3018*d**2 - 7*d + 9. Let v be f(2). Let o = -7986 - v. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, 2, 5, 18, -16 in decreasing order.\nAnswer: 18, 11, 5, 2, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2333541 is divided by 70713.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1001001?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 2*m**5\/35 + m**4\/14 - 2*m**3\/21 - m**2\/7 - 65. Factor d(b).\nAnswer: 2*b*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69709?\nAnswer: 69709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/10, -249\/8 in ascending order.\nAnswer: -249\/8, 1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 706587 times 11.25\nAnswer: 7949103.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**4 - v**2 + v. Let a(s) = s**5 - 5*s**4 - 4*s**3 - 9*s**2 + 10*s. Let u(f) = -2*a(f) + 14*o(f). Find i such that u(i) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.50125 rounded to one decimal place?\nAnswer: 33.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5028513 to the power of 1\/2, to the nearest integer?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2164\/11 + 2\/11*w**2 + 98*w.\nAnswer: 2*(w - 2)*(w + 541)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62628 is divided by 5693.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/30 - (-25182)\/220. Let h = o + -110. Let z be 18\/4 + (-1)\/2. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/13, 0, -37, -5, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-141)\/(-2)*44\/33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 2}. Give prob of sequence vj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.74902 microseconds in seconds?\nAnswer: 0.00003274902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*m + 3*m. Let a = -1 + m. Sort -1\/4, -0.2, a.\nAnswer: a, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, 0.2, 0.4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/235200 and 53\/2000.\nAnswer: 1176000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Suppose -11 = -k*c + 15. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + 1 + 1 + 7 + -25.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 12. Let v be t(11). Is -2 + v\/((-3)\/(-261)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8014*v + 528971 - 6198*v - 528971 to q*v + d and give q.\nAnswer: -14212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a**3 - 20*a**2 - 10*a + 38. Let p(k) = -5*k**3 - 19*k**2 - 10*k + 40. Let i(v) = 4*c(v) - 5*p(v). Let q be i(-14). Solve -q = -6*f - 26 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 7 = 2*x + 4*y, 3*y + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s + 0*s + 25 + 0*s - 7*s + 3*s**2. Let r be m(-19). Suppose 0 = 13*x - r - 7330. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -881 + 903. Calculate the remainder when 148 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1999 + 0?\nAnswer: -1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*(-13196)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqb when three letters picked without replacement from {q: 1, b: 3, p: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8307337 grams in tonnes?\nAnswer: 0.0000008307337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 114, 10, -1 in decreasing order.\nAnswer: 114, 10, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/(-152))\/((-7)\/2).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 53565\nAnswer: 16069.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3981, 4444, 4919, 5406?\nAnswer: 5905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29336 is divided by 7327.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 + 0*p**2 - 2*p**3)*((-695 - 1216 + 235 - 137)*(-2 + 5 - 1) + 1 + 0 + 1) to the form q*p**3 + s*p + d*p**2 + j and give q.\nAnswer: 7248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -6*o - 39. Solve -l + 4*y - 21 = 0, -2*l - 6*y + 3*y = -o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2318 by 2.\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196.897 - 197. Let d = s + 8.703. Let q = 8.683 - d. What is q rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 15*u - 4. Let x(j) = -5*j**2 - 23*j + 6. Let k(n) = -5*x(n) - 8*z(n). Let g be 10 - 8 - (1 + -2). Let d = g - 0. Calculate k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -56531703680 and 41.31.\nAnswer: -56531703638.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 1:32 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0 - 1 - 2*s + s. Let a = -31 + 30. Suppose -4*c + 7 = 11. Let t(b) = -b - 1. What is a*t(u) + c*r(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4\/2 - 75*s**3\/2 + 135*s**2.\nAnswer: -5*s**2*(s - 3)*(s + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + (-19)\/2)*-4. Let w(i) be the first derivative of 0*i**3 - 3\/2*i**2 + 5 + 1\/4*i**4 - f*i. Factor w(a).\nAnswer: (a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 3.1. Let q = v - 0.6. What is the second biggest value in 1\/3, q, -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37397943*w - 22761619 with respect to w.\nAnswer: -37397943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*r + 5*l - 139, 5*r = 3*l + 289. Let d be (-6)\/(-9)*-3 + 7. Suppose 0*a - d*a = 5*t - 80, -t - r = -5*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 1. Give o(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -477.6 - -568. Let w = x - 90. Put -5, w, -0.6 in decreasing order.\nAnswer: w, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5580\/(-775)*(-25)\/(-10)*4\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-36) - 1269\/(-243).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110998618 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/(x*x**5)*((x*x\/x**(4\/7))\/x)\/(x**(-7)\/x*x*x))\/(x**(-8)\/x**1)**(-2) assuming x is positive.\nAnswer: x**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -115981, -231956, -347931, -463906, -579881?\n\"Answer: -115975*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -9. Let k = -1\/452 + 245\/8588. Let h = -73\/114 - k. What is the nearest to h in r, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -640*j + 5590. Calculate t(9).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -50734 times 114\nAnswer: -5783676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 3:28 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -200156 (base 7) in base 10?\nAnswer: -33704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 436 = 4*k, -3*x + 63 - 408 = -3*k. Which is the smallest value? (a) -0.1 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -1\/6*p**3 + 21\/2*p**2 + 0 - 1\/20*p**5 - 11*p - 1\/12*p**4. Does 2 divide k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10\/(-15) - (5226800\/(-300) - 4\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/6 - 779*o\/6 + 130.\nAnswer: -(o - 1)*(o + 780)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 835*l**4*y**3 - l**2*y - 89*y**3 wrt l?\nAnswer: 20040*l*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 855641611.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (113\/3)\/((-11)\/2277). Let w = v + 11250. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 4\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 1\/15*i**3 + 4\/25*i**6 - 1\/25*i**5 - 2\/15*i**4 + 0 + 14*i + 3\/35*i**7 + 0*i**2. Factor u(x).\nAnswer: 2*x*(x + 1)**2*(3*x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663 divided by 11?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 277.073 and -2.\nAnswer: -554.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j + 709*j = 23220 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 162829500 to the nearest one million.\nAnswer: 163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3214916 nanometers in micrometers?\nAnswer: 0.0003214916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 5. Let v be w(7). Suppose 4*a + 4 = -5*b + 1, -3*b - 2*a = 1. What are the prime factors of (-16 + 3)\/(v + b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*n - 9824 + 19646 - 9822.\nAnswer: 86*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -1 + (20 - (21 + -12)) + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 450 = 2*r, -5*a - 206 = -2*r + 247. What is the common denominator of 1\/22 and r\/(-54) - -3 - 2?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4153 + 19370. Suppose -q = 4*v - 6*q - n, 4*q - 20 = 0. Factor 5887 - v + 5*x**3 + 30*x**2.\nAnswer: 5*x**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32449 or -32265?\nAnswer: -32449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = d - 0*d. Suppose -4*h + d - 11 = -5*o, -4 = -h - 4*o. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411, 1613, 3619, 6429?\nAnswer: 10043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f + 6 = i, 5 = -5*f. Let j(t) = 10 + i*t - 28 + 26 + 3*t**2. Let q be j(-4). Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 104, 33 in increasing order.\nAnswer: 2, 33, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09689709*0.043.\nAnswer: -0.00416657487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -82964250 divided by 12050\nAnswer: -6885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63793 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and 607750?\nAnswer: -20663500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45100\/29 or 1555?\nAnswer: 1555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**3*m*s - 10530*k**2*m - 61*k*m*s - k*s + 799*m*s wrt k.\nAnswer: 24*k*m*s - 21060*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7920843.591+0.5\nAnswer: 7920844.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, f: 2, c: 1, t: 4}. What is prob of picking 2 t and 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -55?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(-3*sqrt(448)).\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 15*l**2 - 1 + (5*l + 0*l - 2*l)*(2*l + l - 2*l)*(-1 + 1 + 2).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + -3 - ((-2202)\/3)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2\/7, -12\/7, 0, 0.07?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 252121949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.10547 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**9 assuming a is positive.\nAnswer: a**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 803, 1607, 2413, 3221, 4031, 4843?\n\"Answer: a**2 + 801*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3734582 by 2.\nAnswer: -1867291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1968394 grams?\nAnswer: 0.0000001968394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6. Suppose -2*m + 4 = v, -3*z + 0*z - 5*m = -49. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5\/17 + 43310*p**4\/17 + 226957436*p**3\/17 - 81963566876*p**2\/17 + 163246088194*p\/17 - 81509522066\/17 = 0.\nAnswer: -10997, 1, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-310)\/(-5)*3\/2?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1111 - 1043. Calculate the remainder when 1970 is divided by h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5\/4, 0.1, -5.\nAnswer: -5, -5\/4, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*a + 888*a + 1071*a + 829*a + 27911 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4\/7, -36, -0.2, -19, 265, -3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 1, u: 5}. What is prob of sequence upr?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(13))**2 + 1 + sqrt(13))*-4.\nAnswer: -60 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*s - 40*s - 45*s)*(1 + 3 + 1) to p*s + x and give p.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/9 (c) -2403\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rytrrrtzzrrmyrrry. What is prob of sequence ymt?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -1467?\nAnswer: 10269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 48894122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*w**2 + 133*w**2 - 79*w**2 + 54*w - 26*w - 28*w.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4*v**4 - 1 + (-4363*v + 55*v**2 + 4363*v)*(3*v**2 - 2*v + 2*v).\nAnswer: 161*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -54. Let x = r + 19.964. Let s = x - -0.03599958. What is s rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 56265.\nAnswer: 56265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 359679521*n**2 + 1261643556*n?\nAnswer: 719359042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -13 + 5 - 3 - 28?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -14*t**2. Let j(k) be the second derivative of 3*k**3 + 3*k**2\/2 + 189*k. Determine j(f(d)).\nAnswer: -252*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:26 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -357*m - 102. Let l(d) = -173*d - 54. Calculate -5*l(v) + 3*n(v).\nAnswer: -206*v - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -169713482 greater than or equal to -169713474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 21*n = -2*g + 90, g - 5*n - 59 = -44 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 21*p - 21. What is c(-15)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 + 210. Let m = 107 - h. Let s(j) = 2*j**3 + j**2 - j. Let t be s(1). What is the fourth smallest value in -2\/15, t, m, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -107, -338, -785, -1520, -2615?\nAnswer: -4142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r**5\/9 - 61022*r**4\/3 - 1419410*r**3\/9 + 3845806*r**2\/9 - 900386*r\/3 + 457820\/9 = 0 for r.\nAnswer: -10, 1\/4, 1, 22891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -30. Let a(t) = -t**3 - 10*t**2 - 12*t + 20. Let h be a(i). What is u in -22*u**2 + 25*u - u**3 + 6*u**3 - 45*u**2 - 10 + h*u**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10636205 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1874.635 + 1879. Round g to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17050184?\nAnswer: 2, 17, 283, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = 48. Suppose 0 = -4*a - 3 + r. What is the third derivative of 4*y**a - y**2 + y**5 + 0*y**5 - 2*y**5 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295560 and 1800?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 293.1.\nAnswer: 732.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 0 - 42\/(-2). Let l = -8 - 8. Let r = u + l. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17122, 2, 5, 20 in decreasing order.\nAnswer: 17122, 20, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 13, -5, -494, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 7505\nAnswer: 750.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(24)\/sqrt(2)))\/(sqrt(15)\/sqrt(3)*2 + sqrt(5)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33508, 66967, 100426, 133885, 167344?\n\"Answer: 33459*n + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-8))\/(108\/(-288)). Let v(k) = 2*k - 14. Determine v(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/7 (b) 141 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 268 - 2468?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(19) + 1))**2 - ((sqrt(95)\/sqrt(45) - sqrt(19))**2 - sqrt(19)).\nAnswer: 73*sqrt(19) + 6404\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 + j - j)*(0*j + 0*j + j) - 1106 + 1106 - 85*j**3 + (3 - 3 + j)*(24 + 4*j**2 - 24) in the form h*j**2 + z*j + n + g*j**3 and give g.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 28. Let y(j) = -j**2 - 9*j + 13. Let k be y(0). Give o(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*c - 2529240 + 929252 = 0, 5*q - 4*c = -7999998. Let d be -2 - ((q - 2) + -2). What is d rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 79, 123, 171, 223?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 107253*a + 32 = -107257*a, -2*i - 3*a - 29 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 535 + 45*k**3 + 3*k**2 - 535 - 47*k**3. Let l(r) = r. Calculate -b(t) - 2*l(t).\nAnswer: 2*t**3 - 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + 80. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 12*m**3 + 3 + 32*m**3 - 4*m**3 - 27*m**3 - 5*m**3.\nAnswer: -20*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:58 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 42 + 23. Let x = a + -68. Let h = 7.3 + -7. What is the closest to 2\/7 in x, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3 + 21\/6). Solve -h - 3*h - i = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6205, 12384, 18513, 24568, 30525, 36360?\n\"Answer: -4*m**3 - m**2 + 6210*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + a + 1. Let z(u) = -5*u**2 + 11*u - 1. Let y(f) = -4*j(f) + z(f). Let x be y(7). What is the units digit of 5*x*8\/(-100)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16860 and 120300596.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 2*o**3 - 3*o**2 + 0*o**5 + 0*o + 1\/60*o**6 - 7\/12*o**4 + 0. Suppose p(j) = 0. Calculate j.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001327254 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0786*-3.\nAnswer: 3.2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -h - 10612, -4*d - d + 21180 = -2*h. Round h to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 0 - (-4 - -2). Let u(x) = 4*x - 1. Let l(c) = 8*c - 1. Let a(o) = 6*l(o) - 13*u(o). Give a(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05485 - 52.67485. Let h = -89 + 37. Let f = r - h. What is f rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Find the second derivative of -2*t**3 - 3*t - t**3 - t**u - t wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-2*(-66)\/(-440)*15\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*h = 5 - 3, q = 2*h + 6. Suppose q*g = -2 + 4. Suppose 0 = -5*l - 0*l + 15, 0 = 4*n - 5*l + 11. What is the remainder when n is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 676 - 421. Let l = 525 - p. Suppose 0 = 7*t - 1067 - l. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -7*s**5\/10 + s**4\/6 - s**3\/6 - 3*s**2\/2 + 22*s. What is the second derivative of q(x) wrt x?\nAnswer: -84*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -384?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-3))\/((-24)\/(-36)). Put 6, -3, b in descending order.\nAnswer: 6, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -105. Let t be (2 + (-60)\/d)*-9. What is the third derivative of -35*n**6 + 18*n**2 - 32*n**t - 5*n**6 wrt n?\nAnswer: -4800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/16*352\/264?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -42, -60, -74, -84, -90?\n\"Answer: 2*q**2 - 28*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (25 + -22 - (2 + -3) - -9) + -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d)\/d*d**(-4\/13))\/(((d*d**9\/d*d)\/d)\/d**(1\/3)) assuming d is positive.\nAnswer: d**(-337\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - 2.95. Let s be -3 + -3*(-4)\/4. Which is the closest to s? (a) 5\/2 (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-2 + 2 - 2)*(4*b + 5*b - 4*b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*i = -491, -4*i + 703 = 3*r - 637. What is the highest common factor of r and 780?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -119.36143518585.\nAnswer: -119.16143518585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2110*d**2 + 24*d + 24. What are the prime factors of w(-1)?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82606 smaller than 82784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1593315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17683140 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 11*l + 3. Let i be d(-11). Factor -2\/3*f**4 + 0*f**2 + 2\/3*f**5 + 0 + 0*f**i + 0*f.\nAnswer: 2*f**4*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + (((1*sqrt(288))\/sqrt(12))\/sqrt(8) + -3)*-1.\nAnswer: -sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 34. Suppose 0*h = -h - u. Which is the third smallest value? (a) -0.4 (b) h (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 5*x, 2*x - 54*p = -53*p - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 1362 = 3*d. Suppose 2 = 4*n - d. Suppose 5*r - n = 6*a - 2*a, 70 = 3*r - 2*a. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4462*v - 11964. Calculate d(-3).\nAnswer: 1422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 612, -380, -2038, -4362?\nAnswer: -7352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k + 209*k + 520 = -464 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.24+-8472058666\nAnswer: -8472058663.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52\/5 of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -728845*b**3 - 2378776*b + 3?\nAnswer: -4373070*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14369 - -0.14369. Sort -4, g, -1.45 in increasing order.\nAnswer: -4, -1.45, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (39 + 22 + -15 + -28).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 872279625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 2*f. Let r(g) be the first derivative of 13*g**3\/3 - 4*g**2 + g - 2. Let d be -8 + -4 - -3*1. Let p(y) = d*z(y) + 2*r(y). Determine p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*t - 37, -2*t - 38 = -4*t - 4*z. Let t*k**5 - 23*k**5 + 4*k**3 - 2*k**3 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-7 + (4 - -3))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2541 and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45, 1, -1508, -8 in descending order.\nAnswer: 1, -5, -8, -45, -1508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43794.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2471 and 989.\nAnswer: 244.3819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 38*y - 23. Let j be k(-18). Suppose 2*a - 4*n = -4, -a = -5*n + n + 4. Suppose a = -2*w - 2*w + 56. Which is bigger: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 148?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 1\/5, 0.9, 5, -0.4 in decreasing order.\nAnswer: 5, 0.9, 1\/5, 0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20 - 10)*4\/5. Suppose -10*h + 1358 = -r*h - 4*q, 4*h - 3*q - 2696 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -168*b**2 - 4211*b + 437. Give a(-25).\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/(12\/16). Suppose -2 = -4*a + 2. Let k be (1 + -2 - -1)*a. Solve j - 2 - f = k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssldylsts. Give prob of picking 1 t, 1 y, and 1 s.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1)\/(-4*3\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1323183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 4*b**2 + 4*b + 2. Let t be p(-2). What is the remainder when 116 is divided by t\/(-2 + 4) + 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022 - 200020?\nAnswer: -201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*s**3\/2 - 4851041*s**2\/2 - 32633757*s\/2 + 9260937\/2 = 0. What is s?\nAnswer: -440997, -7, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, 0 in increasing order.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -93362.431090049 + 0.4?\nAnswer: -93362.031090049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 82\/(-5))\/((-240)\/800). Suppose -6*v + c - 18 = 0. Solve -6*i = -v*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108642411 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynfnrnnnrffr. Give prob of picking 1 r and 2 f.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357*b**4 + 27*b**3 + 11*b**2 - 297169919*b wrt b?\nAnswer: -4284*b**2 + 162*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjzpzppjjjj. What is prob of sequence jpp?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 983008 divided by 17.\nAnswer: 57824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62126 - 213360?\nAnswer: -121231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 6:54 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 427*j - 22. Suppose -73*q + 9 = -70*q. Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1318 - 1318. Solve w = 2*b + 3 - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 12 + 0 + 3 + 17*q.\nAnswer: 17*q + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9240630 and 1512?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231265647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - q**2 + 18*q - q**2. Let y be 1\/(-2 + (-9)\/(-5)). Let m(b) = 3*b**2 - 20*b. Let v(f) = y*m(f) - 8*r(f). Give v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 1. Let r(m) = m**2 + 2*m + 5. Calculate -r(i) + 4*z(i).\nAnswer: -i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32040 + 230055?\nAnswer: 154015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 12*i + 3*f = 9, 4*f - 5 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 21*j**2 - 16*j - 28. Let o be -8 - -7 - (-42)\/(-2 + 4). Is 30 a factor of p(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, 0.3, -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-2\/11)*l\/(l\/l**(-23)*l) assuming l is positive.\nAnswer: l**(-251\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2509, -5060, -7611, -10162?\n\"Answer: -2551*b + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 15) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b - 8. Let p(y) = 20*y + 27. Let f(u) = -2*p(u) - 7*s(u). Let h(v) = -145*v - 199. Let n(r) = 4*f(r) - h(r). What is the derivative of n(o) wrt o?\nAnswer: 153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 10 - 3\/(12\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-11) - 204\/(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (378\/(-84))\/((2\/1)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-113)\/113)\/(-2 - 15\/(-7)). Let w(y) = 21*y**2 + 2*y + 8. Let p(s) = 22*s**2 + 3*s + 7. Let g(o) = -2*p(o) + 3*w(o). Is g(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*l, -12*l - 15 = -13*l + 2*f. Suppose 2*a - l*p = 48, 5*a - 5*p - 113 = 37. Calculate the remainder when 643 is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 + 11*t**2 - 9*t - 8. Let p be h(-6). What is the thousands digit of p\/(-6 + (-13024)\/(-2168))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*d + 1516 - 332 = 0, -4*t + 1149 = -9*d. What is the remainder when t is divided by (-2)\/(20\/(-9) - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28108954.739 + 2836.261. Let d = r + -28111791.33999998. Let h = d - -0.34. What is h rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 365*k + 41*k + 203*k in the form y*k + s and give y.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1045 + -650. Solve -2*j + 401 - z = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 529028, 529029, 529042, 529073, 529128, 529213?\n\"Answer: f**3 - 6*f + 529033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (45\/6)\/(1901\/(-11406))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13816778, 27634036, 41451306, 55268594, 69085906, 82903248, 96720626?\n\"Answer: r**3 + 13817251*r - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4076872?\nAnswer: 2, 17, 31, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 61350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 1 - -1)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174865.\nAnswer: 5, 41, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 5*m. Suppose 2*s - 3*s = 7. Is o(s) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 98. Let v(u) be the second derivative of u**3\/6 + 17*u**2\/2 - u. What is the remainder when x is divided by v(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*x = 4*f - 7*x - 316, 0 = -x - x - 8 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 3)*(-2 + 1 + 2) - 4 + 4 + 1)*(-740*l + 17037 - 17037) in the form t + u*l and give u.\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -15128*f + 4. Let t be u(-2). Suppose 4*g = -5*q - 248672, g + 4*q + 31908 = -t. Let s = -44168 - g. What is s rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 8) to base 5\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1635755496 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k - 4\/15*k**6 - 76*k**2 - 16*k**4 - 48*k**3 - 44\/15*k**5 + 0 - 1\/105*k**7. Suppose r(o) = 0. What is o?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 988*p**2 + 989*p**2 + 993*p**2 - 22 - p - 2963*p**2 - 3*p - p.\nAnswer: 7*p**2 - 5*p - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25b980 - -a9?\nAnswer: -25b8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9076445 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 a be ((-22)\/11)\/(-3 + -7). What is the closest to -6 in a, -0.45, 0.1?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36790?\nAnswer: 2, 5, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + (sqrt(216) - 4*sqrt(216)))\/sqrt(6) - 5*sqrt(36)*1)\/((-1*(sqrt(84)*-2 + sqrt(84)))\/(-2*sqrt(63))).\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**7\/70 + 21*p**5\/20 - p**4\/24 - 131*p**3\/6 + 345*p**2. Find the second derivative of o(q) wrt q.\nAnswer: 36*q**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7763 or 176?\nAnswer: 7763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 724896\/(-5034)*6\/9?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 286\/44*(13 - 9). Let b(l) be the third derivative of -1\/120*l**6 - 1\/24*l**4 + 0*l**3 + x*l**2 + 0 + 1\/30*l**5 + 0*l. Factor b(z).\nAnswer: -z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-10))\/(-1) + 44\/10. Let r = -6 - -9. Solve -6*b + 2*b - 20 = s, -d*b = r*s + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = r, 2*k = -3*r - r. Find the third derivative of -22*b**3 - 8*b**2 - 4*b**2 + k*b**2 + 4*b**2 wrt b.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a + a**3 + 299 - 3*a - 307 with respect to a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/220 and -87\/572.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066694169 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 9\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -312\/1043 - -2\/149. Which is the closest to w? (a) 2\/19 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 3*r. Let v(d) = -3*d + 4*d - 2*d + 0*d. Determine -n(z) + 2*v(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20130104*o**2 + 159*o - 86085 wrt o?\nAnswer: -40260208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/(4\/20). Suppose 0 = h*d, 2*k + 2*d = -3*d. Suppose k = j + 2*y - 1305 + 362, -3*j + 5*y + 2884 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 + 64. What is the remainder when ((-4)\/(-3))\/((-2)\/o) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7\/((-119)\/(-48892)))\/(1 - -1)?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v**3 + 10*v - 4\/3*v**4 + 14\/3 - 10\/3*v**2 = 0. Calculate v.\nAnswer: -7, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5.9999837. Round y to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**3 + m**2)*(-204*m + 832*m + 109*m).\nAnswer: 737*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 6:29 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1.8778, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 9 = 41. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 610 divided by -10.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465 and 382695?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5047763*b**2 - 8301230*b.\nAnswer: -10095526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 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: Collect the terms in -107*p**2 - 96*p**2 + 263*p**2.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/4830749 - -67630524\/91784231. Solve -400\/19*g + 0 - 284\/19*g**3 + 1480\/19*g**2 + l*g**4 = 0.\nAnswer: 0, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*h = -20, 5*h = 3*m + h + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 409059613 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*h = -n - 39, 45 = 5*n + 5*h. What is the smallest common multiple of 4 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(5\/6)\/l)**(-2\/3)*(l**8*l)**(-29))**39 assuming l is positive.\nAnswer: l**(-30524\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 10:19 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33\/2? (a) -5 (b) 5 (c) -2\/9 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((3 + (sqrt(112)*-5 + sqrt(112) - sqrt(112)))**2 - ((sqrt(56) + sqrt(1400))\/sqrt(8) - (0 + sqrt(847)))**2) + 2.\nAnswer: -360*sqrt(7) + 7905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.24 - -0.24. Let m be -3*(-2)\/72*-4. What is the third smallest value in 2\/11, k, m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 8*a + 11. Let y be q(-7). Let r = -145 + y. Does 9 divide 4\/40*-5*r*-16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26 and -135.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.407 - -44190?\nAnswer: 44374.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 8:24 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2 - 14. Let x be 10*(1 + 2\/(-4)). What is the units digit of v(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 + (-44)\/(-10). Solve m*v + 16 = -4*y, -y - 4*v - 8 - 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1120, -1239, -1394, -1603, -1884, -2255, -2734?\nAnswer: -3339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2825 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**10\/75600 - h**9\/75600 - h**8\/33600 - 4*h**4\/3 + h. Let w(x) be the third derivative of y(x). Factor w(f).\nAnswer: f**3*(f - 1)*(2*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006081256 rounded to five decimal places?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 16*m + 116. Let h be q(8). Which is smaller: h or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -41*v**2 - 13*v + 17. Let m(h) = -7*h**2 - 2*h + 3. What is 6*i(q) - 34*m(q)?\nAnswer: -8*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -30463*j**2 - 410. Let i(v) = 448*v**2 + 6. Give -6*g(w) - 410*i(w).\nAnswer: -902*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8819 and 0.3.\nAnswer: 2645.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13087568+-21\nAnswer: 13087547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -24 + 193. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -241.58671 - -241.49. Round u to 3 dps.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2210.0005262 + 2210. Round j to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6) + 10\/(-4). Let i be x\/6*-2 - -1. Suppose i*h - 165 = -2*w - 11, 0 = 4*w + h - 299. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t - 3*t)*(-3 + 0 + 1) - 3*t + 5 - 5.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17937 + 26?\nAnswer: -17911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/57*24\/(-4)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1942 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 57. What is the highest common factor of f and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 4*p)*(30*p + 67*p - 21*p) - 4*p**2 + 3*p**2 + 2*p**2 + (2 - 2 - p)*(-p + 0*p + 2*p).\nAnswer: -152*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooomooomooommmoo. What is prob of sequence ooom?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5425 + 5424.9. Let m = 7 - 2. Which is the closest to 1\/4? (a) m (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1414907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 17*q - 8. Determine v(-13).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 11) to base 10.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -277, -551, -815, -1063, -1289?\n\"Answer: o**3 - o**2 - 278*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 24*p + 17. Suppose -6*m = -2*m - 48. Let x be c(m). What is the greatest common factor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 12*q**2 - 11*q + 3. Let s be c(11). Solve 5 = -2*t + s*i, t + 4*i - 15 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 1354 - 5996 = 0. Suppose 0 = -46*q + 61 - b. Let k(u) = u**2 + 8*u + 6. What is k(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931935.7 hours in minutes?\nAnswer: 55916142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9250 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 17*j - 14. Calculate z(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) 2\/3 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 28 = 4*s, 3*s = f + 3*f + 22. Suppose s*l + 3*l - 140 = 0. Calculate the highest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48025 by 12.\nAnswer: -48025\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - k**2 + 2*k - 28. Let x(f) = 4*f**3 + 2*f**2 - 5*f + 56. Let b be (21\/14)\/((-123)\/(-164)). Calculate b*x(t) + 5*i(t).\nAnswer: -2*t**3 - t**2 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 7*r - 12*r**2 + 27*r**2 - 16*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 8. Is -2\/51 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-18)\/(-3) + (-560)\/(-175).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + y**2 + 2*y + 4751. Suppose -p = -2*p + 4*p. Is q(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*y**3 + 10*y**3 + 18*y**3.\nAnswer: 81*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80125 by 10.\nAnswer: -16025\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9300)\/7750)\/(81\/(-5)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**9)\/g*g**(-1\/13)\/g)\/(g**7\/(g\/(g**(-1)*g))) assuming g is positive.\nAnswer: g**(38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8093397l?\nAnswer: 809.3397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1238, 1236, 1234, 1232, 1230?\n\"Answer: -2*d + 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2 + 2 + i. Let w be x(4). Suppose 0 = -c + 5*c - w*z - 100, 0 = -2*z. Solve 6*p = p - c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125239 and 845?\nAnswer: 105826955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -531512748 divided by -156\nAnswer: 3407133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 281 and 190919427170.4.\nAnswer: 190919427451.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 0.16. Let y = 0.2 + -0.4. Let i = y - o. Sort 2\/5, 2, i.\nAnswer: i, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r**3 - r**2 + 9*r**2 + 7*r**3.\nAnswer: -26*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4164, 4152, 4140?\n\"Answer: -12*x + 4176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/20)\/(233\/5). Let t = o + 452\/1631. Let w = 3.5 + 0.5. Which is the second biggest value? (a) t (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-2) - 2) + 2. Suppose -d*h = -m - 3, 3*m + m = 5*h - 12. Suppose h = 3*u - 0*u - 21. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 71*l - 1513. Determine n(88).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280 take away 0.2?\nAnswer: 3279.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 16*x**2 + 18*x + 8. Let o be j(-17). What is the remainder when (-5 - o)\/(1\/8) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -2949, 0 in ascending order.\nAnswer: -2949, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 24522 = 134*w - 133*w, w = 5*o + 24513. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by ((-23998)\/(-71) + 12*-1)\/2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 503532570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g = -108*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 27638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 5*t**2 + 6*t + 5. Let u = 5 + 0. Is j(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dab (base 14) in base 12?\nAnswer: 168b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2088.242 weeks to minutes.\nAnswer: 21049479.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211 - 121330302?\nAnswer: -121323031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u**2 + 8*u + 37. Let r(v) = -30*v**2 - 13*v - 74. Determine -3*r(i) - 5*y(i).\nAnswer: 10*i**2 - i + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 - -309932139.3?\nAnswer: 309932879.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m**2 - m + 1. Suppose 12 = 3*y - 0*y. Suppose 4*q = 2*q. Suppose q = y*w - 2*w - 8, k + 3 = w. Calculate c(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-2 + 0))*-1. Suppose -2*b - g + 7 = 0. Calculate the least common multiple of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 138\/11 (b) -23 (c) -4 (d) -6 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/(5\/((-40)\/4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {v: 6, q: 9, l: 4}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**4 + 5*i**4 + i**4)*((-969 + 2087 + 793)*(-i - 3*i + 2*i) - 3*i - i + 2*i).\nAnswer: -7648*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 2:05 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 268*d - 11 = 267*d, 4*d - 17 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6761 = 4*q, -3*q = -2*m - 647 - 4432. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 779919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 44201042 (base 6) to base 12\nAnswer: 539182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 909 = 9*h - 13*h, 0 = -4*h - 3*t - 899. Let x = -14 - h. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-516)\/(-198))*-3 + -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6340*k**3 + 12558*k**3 + 6*k**2 - 6293*k**3 - 6*k**2.\nAnswer: -75*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1865440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) 0.1 (c) -2\/19 (d) 449\/5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/463 or -9765?\nAnswer: -9765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-27 + 27)) + -12\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 6664*j**3 + 4184364*j**2 - 5797613360*j - 3027530400400.\nAnswer: -4*(j - 1438)**2*(j + 605)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 5, 2, -5, -16, -31, -50?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2\/13, 2, 0.5, 53 in ascending order.\nAnswer: -2\/13, 0.5, 2, 14, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26068\/14 + (-3)\/(-3). Suppose -k = 5*s - h, -s + k = -5*s + 1490. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdd when three letters picked without replacement from dcddcccddccd.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1525*m**2 + 146 - 426 + 140 + 140 as u + z*m**2 + a*m and give z.\nAnswer: 1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4644 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189*(-14)\/252)\/((-23)\/((-161)\/84))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = -4*a + 15, 0 = 5*a + 2*y - 34. Let b = a - 4. Suppose -i**2 - 4 - 2*i**3 + 6 + b*i - i**2 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33786 - 33785.3. Which is the closest to -1? (a) -0.4 (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 19 = -33 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*5\/90 + 46\/4. Suppose -q + 2*q = 3. Solve -c = -w - q*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - a - 16 = -3*a, 4*a = 20. Let o(b) be the first derivative of -2\/15*b**5 + 2 + 0*b + 2\/9*b**n + 0*b**4 + 0*b**2. Factor o(z).\nAnswer: -2*z**2*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 less than -132733?\nAnswer: -132717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose 5*w + n = 3, -n = -p*w + 2*n - 9. Suppose 0 = 4*b - 4*c - 16, -c = -5*b - 6*c. Solve -2*z + b*v = w, z + z + 2*v + 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r. Let h(d) = -7*d**3 - d**2 - d. Let l be h(-1). Let m(q) = -5*q - q + l*q. Calculate m(g(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 20193 and 20194 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kke when three letters picked without replacement from {k: 7, e: 4, z: 4}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, d: 6}. Give prob of picking 4 c.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 3*k**3 + 3*k**3 - 2*k**4 + 3*k**4 + 3*k + k**2 as x + q*k**3 + l*k**2 + f*k + c*k**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10676792 to the power of 1\/2, to the nearest integer?\nAnswer: 3268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1719*l + 524300. Calculate i(305).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1723256522.\nAnswer: 2, 13, 53, 241, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*q = 3*o + 12, -5*o + 4*q - 10 = 0. Suppose -4 = -2*x, -3*d + o*x + 5 = -0*x. Solve 3*g = -2*n, -4*g - n - 4 = d*n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v**(-1\/4)*v))\/v))\/((v\/(v**(-11\/4)*v*v))\/v))**(-2\/21) assuming v is positive.\nAnswer: v**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -10*d**3\/3 - 2*d. Let f(u) = -5 + u + 8 - 9 + 6. Give q(f(z)).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16962 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -47. Let y = -28.9988 + s. What is y rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -18, -22, -22, -18?\n\"Answer: 2*g**2 - 14*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/38 and 5\/152608?\nAnswer: 152608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.9566513ms?\nAnswer: 956.6513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*l**2 + 68*l**2 + 12*l**2 + (3*l + 0*l + 0*l)*(0*l + 2*l - 4*l).\nAnswer: 119*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 661531 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43028808 divided by -8.\nAnswer: 5378601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n - 5. Let q(s) = -4*s + 2. Let u(x) = -2*c(x) - 5*q(x). Let b(m) = -3*m + 15. Let w(l) = -l + 4. Let g(f) = 4*b(f) - 15*w(f). What is u(g(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(288) + 1 + sqrt(288) + 4)**2.\nAnswer: 192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*q**4 + 0*q**2 - 20*q**4 - q**2)*(-285518 + 285518 - 966*q).\nAnswer: -7728*q**5 + 966*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101 - -11011100000111010010?\nAnswer: 11011100000101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ead when three letters picked without replacement from aedtctaactdtaatcat.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r + 48 = -56*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**4\/4 - 11*i**3\/3 - i**2\/2 + 16*i + 3. Let n be a(11). Let t(b) = b**3 - 4*b**2 - 3*b - 4. What is the units digit of t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 3*l**3 + 2*l**3)*(65 + 33 - 51) - 3*l**2 + 3*l**3 + 3*l**2 + (-l**2 + 2*l**2 + 0*l**2)*(6*l + 4*l + 3*l).\nAnswer: 63*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 45*b - 31. Let i be s(22). Let q(j) = 2*j**2 - 13*j - 66. What are the prime factors of q(i)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-28 - (10 + 24))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/651*-3)\/(49*(-75)\/51450)\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -39*u**2 + 470*u + 2. Let a be h(12). Calculate the highest common divisor of a and 3653.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*m + 157*m - 3884 = 9836 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-13 - -2)) + -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 47. Suppose 4*p - x - 883 = 0, i*p + 3*x = 585 + 523. List the prime factors of p.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*7*36\/(-42). Let x be -9 + -1*(l - -3). Let m be (-7 - x) + 45\/51. Which is the second smallest value? (a) -1\/7 (b) m (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/84 (b) 7 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in -1, -0.27, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004034523 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 6*u - 42. Let p be (u\/42 + (-2)\/(-12))\/1. Solve -a - a + 4 = p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 9:07 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 5b917759?\nAnswer: 5b917761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 3664498?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-10)*(40\/6)\/1. Suppose -o = -6*l + 46. What is the first derivative of -18*r + 23 - l*r + 4*r wrt r?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 955*q + 3606. Calculate u(-6).\nAnswer: -2124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1627 - 1124. Let b = -502.6 + f. Put 3\/5, 1\/2, b, 0.8 in ascending order.\nAnswer: b, 1\/2, 3\/5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 90. Suppose -1 = 5*m + 9. Let j be 0 + m - (-1 + s). Solve -3*i - 2*i + 4*b = 6, -4*i - j = -4*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389102 is divided by 148.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(0 + (-3)\/(-6)). Let n be (4\/(-10))\/((-12)\/z). What is the biggest value in n, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59649 and 782514.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 32 = -2*m - i, -4*i = 4*m - 64. Suppose 0 = -4*d - 0 + m. Is 13\/d - (-3)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182803 - 11150729\/61. Let l = 1\/366 + n. What is the common denominator of l and 99\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + 6\/(-18)*9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*z + 3585*z + 2775 + 57362 = -31591 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + i + 2 = 1, -5*m - 4*i = 2. Suppose -m*v + 32 = -78. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -17ac59?\nAnswer: 17ac5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 72683850078020?\nAnswer: 72683850078019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = 3 - 23 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + (sqrt(1900) + (sqrt(1900) - (sqrt(1900) + -1)) + -4)**2.\nAnswer: -50*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 - 840*q**3 + 1689*q**2 - 846*q = 0. Calculate q.\nAnswer: -282, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13004*g - 13002*g + 2*c = 36, -5*c + 37 = -48*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10758*w - 489. Let b(d) = -331*d - 15. What is 163*b(k) - 5*p(k)?\nAnswer: -163*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from appppaplaal. What is prob of picking 2 p and 1 l?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -8, -4, 0, -11 in decreasing order.\nAnswer: 8, 0, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -101.\nAnswer: -50.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 724*z**2 - 1483*z + 28182. What is a(722)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h + y + 3, -9 = -2*h + 3*y. Suppose h = -9*i + 17*i - 4960. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*k + q, 0*q + 5*q = -2*k - 20. Suppose 4*z - 5*c = 99, 5*c + k*c = -2*z + 57. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 170131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 303.\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1611981 rounded to 4 dps?\nAnswer: -0.1612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 275 (b) 3 (c) -134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 59 + 319. Let j = 5 - p. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -55, 0, -1 in increasing order.\nAnswer: -55, -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.376 + -35549900\nAnswer: -35549899.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + 0. Suppose o + 5*j = 77, -5*o + 4*j + 345 = 9*j. Let x = 76 - o. Calculate the remainder when s is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -48, -101, -174, -267?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6693219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 117055321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 3:33 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-five halves of a kilometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 0*m**2 - 4*m**2)*(-11668*m - 111139 + 111139).\nAnswer: 23336*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -44 + 33 - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 27. Let r be n(22). Solve o + r*x - 3*x - 6 = 0, -o + x - 9 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5090 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7721 - -344.5279. Let f = m - 345. Which is the nearest to 0.1? (a) 1\/3 (b) 11 (c) f (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3059)\/931 + -9 + 12.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 13959\/7, -0.4, 2\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*r = -0*r + 60, -4*r + 76 = -4*w. What is the common denominator of 32\/9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 5*d**2 - 4 + 0*d**2 - d**3. What is the remainder when u(-3) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 minus -24825.2?\nAnswer: 24804.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61, -107, -163, -235, -329?\n\"Answer: -i**3 + i**2 - 42*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s + 8*s - 2*s)*(s + 2*s + 6*s)*(3*s + 0*s - 2*s).\nAnswer: 162*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p - 5940 = 1013 + 4877. Let l = 13 - 9. Suppose -3*w = -d - 6*w + 76, l*d = -3*w + 259. Calculate the remainder when p is divided by d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 25*u**2 + 14*u - 35564. Let q(t) = -18*t**2 - 10*t + 23706. Calculate 5*c(d) + 7*q(d).\nAnswer: -d**2 - 11878","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = 3*z - 183, 7*k + 21*z - 111 = 3*k + 18*z for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 13030202?\nAnswer: -13030133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 4*k**2 - 6*k - 4. Let f(b) = 4*b**3 - 7*b**2 - 12*b - 7. Give -4*f(t) + 7*z(t).\nAnswer: -2*t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 253.2.\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28930, 28847, 28766, 28687, 28610?\n\"Answer: g**2 - 86*g + 29015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/48)\/(70\/(-80) + 1). Let d(j) = 3*j - 2. Let r(p) = -3*p + 1. Give v*d(f) + 4*r(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k + 51*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 369 = -3*y + 96, r + 768 = 5*y. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*a**2 + 231247*a + 3034410 wrt a?\nAnswer: 16*a + 231247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5))**(1\/2))**(11\/2)\/(((a*a**4)\/a*a*a)\/a**(-3\/2)*a**(-3)*a*a*a*a**6) assuming a is positive.\nAnswer: a**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-38)*a**(-12\/11) assuming a is positive.\nAnswer: a**(-419\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*i - 26 = -4*f, -3*f + 34 = -2*i. Let r be (-3 + f)\/((-9)\/(-12)). Let n = 18 - r. Solve 0 = -3*l + n*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11148707 and -6265.281.\nAnswer: -11154972.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d - 2*d**3 - 3 - 1 + 3 + 6. Let r(l) = l**2 + 3*l - 5. Let q be r(-5). Let f(g) = g + 1. Give q*f(a) - k(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 1333*d - 3056. Determine s(264).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 60 + 21 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115618452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 264\/(-40) - 2\/5. Let y = j - -25. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2934 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 9. Let y be a(-11). Let i be 0\/y*1\/2. Solve i = -3*p - 2*q + 10, -6 = -5*p + 3*q - q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n**4 + 3424*n**3 + 44222*n**2\/9 + 14264*n\/9 + 328\/3 = 0 for n.\nAnswer: -1, -1\/3, -2\/21, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 826584000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 109176.327 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17256062, -34512131, -51768200, -69024269, -86280338?\n\"Answer: -17256069*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((6 - 7) + 0)*395. What is p rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s - 10. Calculate m(-8).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 129*v - 1648. Determine x(-141).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*4.74825.\nAnswer: -0.94965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9053900 by 2263475.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n. Let y(m) = -189 + 21*m + 368 - 179 + 6*m + m**2. Give y(k(d)).\nAnswer: 49*d**2 - 189*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*f + 98 = 0. Suppose 0*i = f*i - 1148. Let z = -74 + i. What is the greatest common divisor of z and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18975*q**5 - 3*q**4*x**3 + 4*q**2*x**3 + q**2 - 11*q*x**3 - 122*x**2 - 2*x wrt q.\nAnswer: 1138500*q**2 - 72*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3164 + -3166. Sort -4, m, 0.15, -0.029 in increasing order.\nAnswer: -4, m, -0.029, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -4132 (c) 0.3 (d) 4 (e) -2\/89\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from dyyuyyduyyuud.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - v**2 - v. Let r(f) = -2*f**4 + 7*f**3 - 3*f**2 - 7*f - 4. Suppose 94 = -5*l + d, -5*l - d + 20 = 106. Let j(w) = l*k(w) + 2*r(w). Factor j(g).\nAnswer: -4*(g - 1)**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -439*l + 395*l - 2801*l + 262 - 1346*l. Is b(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*g + 69*g = 32*g + 37*g + 4402 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2126280 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2244635 at most -2244632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*u - 2*t, -3*t + 17 = u - 9. Calculate the smallest common multiple of u and 184\/40 + 3\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -l - 4*t + 11, -4*t - 157 = -5*l. Suppose 0*s + 21 = 2*s - 3*c, -3*c = -3*s + 36. Calculate the remainder when l is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 + 3*m - 3. Let q(d) = 5*d**2 - 7*d + 7. Let n(s) = -6*q(s) - 14*z(s). Suppose 5*x - 10 + 0 = 0. Let a(b) = 4 - 4 + b**x. Determine n(a(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/19302234 and -11\/1788624.\nAnswer: 463253616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-33)*(-4 - (-74 + 4)). Calculate the greatest common factor of 143 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/((-128)\/(-16))*-1)\/((18\/93)\/(-1))?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4419 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29303387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35073.3 and 0.1.\nAnswer: 35073.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 + 18 + 6*s**3 - 18 + 8*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 1, -1\/2, 0.1, 6\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-16) - (-45)\/(-12). Let o(d) = 16*d - 8. Let s be o(1). Put -3, s, t in decreasing order.\nAnswer: s, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 74 + 70 = 0. What is the remainder when 1118 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:28 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 1, p: 1, f: 2, j: 1, x: 2}. What is prob of picking 1 j and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 2)*(-3)\/28. Let u be 0*(3 - 7)\/(-4). Suppose l + l = u. Which is the smallest value? (a) l (b) s (c) -4 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.0606479 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(80) + -1) - (5*(sqrt(5) + -1) - sqrt(60)\/(-1*sqrt(12))))**2*-1.\nAnswer: 20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/272 and -19\/3735512?\nAnswer: 7471024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**8\/168 + 2*m**7\/315 + 13*m**6\/45 - 23*m**5\/45 - 43*m**4\/12 - 4*m**3 + 385*m**2. Determine l, given that w(l) = 0.\nAnswer: -4, -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-15)))\/z**13 assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:56 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(40)*6)\/(sqrt(200) + sqrt(200) + 2*sqrt(200)))\/(-1*(-2*sqrt(100) + sqrt(100)) - (sqrt(100) + -5*sqrt(100)*1)).\nAnswer: -3*sqrt(5)\/500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 5*h**2 + 5*h**2 + 3*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 647*f + 640*f - 9 - 1292*f. Calculate s(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 10*d + 5. What are the prime factors of r(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -20. Let h be (-4)\/(-6) - r\/6. Suppose -2*w - 3*p + 6 = 0, -4*w + 4 = -2*w + h*p. Solve 0 = -w*v - v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:45 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66954\/611 or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -21. Let l be 143\/88 - g\/(-8). Suppose -r + l*d + 0*d = 8, 4*r + 4*d = 16. What is r rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3864636 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -19, -3, 161737 in descending order.\nAnswer: 161737, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*r - 1303, 3*g - 3*r + 1024 = 7*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 21*b + 14. Let o be y(-10). Let h be -1 + 42*12\/18. Differentiate -t**o - 7*t**4 - h - 5*t**4 wrt t.\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3452448253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-2)*116\/(-80040)*-138\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mipw when four letters picked without replacement from {p: 4, m: 2, w: 3, f: 2, i: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 + -887\/6. Calculate the common denominator of -1\/7 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (5 - 2) - 3. Is (13 - 14)*54\/j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31420517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 4. Let w be o(-3). Suppose p + w = 6. Suppose -p*z - 15 = -z. Sort -3, 3, z in descending order.\nAnswer: 3, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n + 14. Calculate a(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 - 134 + 11056*h**3 + 29807*h**3.\nAnswer: 40863*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45659 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8124*d = 2655*d - 271136 - 9118 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12) + 992\/1736?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5854883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9068 = 2594*t + 682*t + 63717 + 97567 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 7*f - 10 + 4 - 3*f + 4*f. What is d(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 - -2.42. What is r rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -7*i**6\/60 + i**5\/15 + 11*i**4\/24 + 5*i**3\/6 - 8*i**2. Let k be c(-4). Suppose -85*j + 82*j = -k. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 10*k**2 - 208*k + 10. Let i be h(13). What is the highest common factor of 16 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*a = -20, -43 = 3*f + a - 5*a. Let j = 9 + f. Suppose j = -3*x + 5*x - 36. What is the lowest common multiple of 72 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 268 - 13 = 0. 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 11\/31, 0.003, 2?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 46529946 times 0.2\nAnswer: 9305989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705*i**5 - 845*i**4 + 15*i**3 + 125*i**2 = 0. Calculate i.\nAnswer: -1\/3, 0, 25\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*115\/25*10\/(-3). Suppose -4*t + 284 = -x. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 15. Let f = 7 - q. Suppose a = u + 9, -3*a + 27 = -4*u - 2. Calculate the remainder when f is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24569, -49147, -73725, -98303, -122881, -147459?\nAnswer: -172037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m**3*v**2 + 24*m**3 - 88*m**2*v - 5*m**2 + 73*m*v - 27675*v**3 - 11*v**2 wrt v.\nAnswer: 16*m**3 - 166050*v - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(320) + 3*sqrt(5)*-4 + -5.\nAnswer: -95*sqrt(5)\/8 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*h + 24*h + 29*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*b = y + 81*b - 15, -2*y + 18 = -4*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 i, and 1 w when three letters picked without replacement from wnniunnbnwwxww.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h + 6 = 0. Let f be 2\/(-12)*h*122. Suppose -2*m + l + f = 6*l, 2*m + 2*l = 46. What is the remainder when 53 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 493 = 428 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**2)\/x)\/x**5)**(-4) assuming x is positive.\nAnswer: x**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*w - 4*w. Suppose 0 = -2*k + c, 0*k = -w*k - 2*c + 12. Suppose 3*p - 6 = -3*j, -k*p + 2*j = 5*j - 3. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/2))**4)**(-1\/23)\/((((b**1\/b)\/b)\/b)**(-49))**(-17) assuming b is positive.\nAnswer: b**(38316\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 14*i. Let d be v(14). Let r be (0 + -1)*(-2 + d + 0). Is (-4063)\/(-34) + ((-1)\/r - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*k**3*y + 14*k**3 - 3*k*y + k + 2*y wrt k.\nAnswer: -132*k*y + 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 10*p - 8. Let o be x(-10). Let r = o - -11. Let c = r + 0. What is the least common multiple of 7 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + b**2 - 2*b**2)*(2 - 2 + 2*b + 1 + 2*b - 1 + (-2 + 6 - 2)*(-3*b + b + 3*b) - 2*b - 3 + 3 + 2*b - 3 + 3)*(-35*b**2 + 441 - 441).\nAnswer: 1050*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**3)**(-2\/9) assuming q is positive.\nAnswer: q**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/10 and -25\/98?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 124364 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16795 and 1720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3857\/5190 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzdjjjbbdbjbx. What is prob of picking 1 z and 2 b?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1628.2, -1\/2, -2?\nAnswer: 1628.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1515.3 + 1188. Let m = c - -327. Put 1, -2, 2, m in descending order.\nAnswer: 2, 1, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 245376007 - 2?\nAnswer: 245376005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -952 and -949 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5204 = 221. Suppose 5*w = 5*o - l, -2*o = -w + 2*w - 313. What is the lowest common multiple of 12 and o?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/10)\/(3\/(-50)). Let z(v) = -7*v**3 - 3*v**2 - 4*v - 2. Let w be z(-2). What is the highest common factor of x and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -151 - 134572?\nAnswer: -134733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*x = 345, 5*x - 197 + 12 = -2*k. Let j be (-1 + 358)\/(18\/12). Suppose -j - 56 = -7*y. What is the remainder when k is divided by y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6820750 divided by 272830?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1439152092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5475502, 5475462, 5475352, 5475136, 5474778?\nAnswer: 5474242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*z + 37, s + 0*s = -2*z + 14. Suppose -x = 3*r - s, 3*x + 0*r - 25 = 4*r. Let q be (2 - 3)\/((-1)\/x). Solve 7*t - m - 9 = 2*t, m + q = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*g + 40. Let k = -12 - -15. Let q be (-2 + k)*(0 - -17). Solve -3*m + 5*o = -g*m - q, m = o + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 6*w**2 - 522*w + 4632. Determine l(9).\nAnswer: 1635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnnx when four letters picked without replacement from enxenrnennnx?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1080, 4, -189, 1, -7 in decreasing order.\nAnswer: 1080, 4, 1, -2, -7, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r**3 - r**2 + 1. Let h be m(1). Suppose 4*g = 2*u + 18, 19*g - 16*g - 7 = -5*u. What is the greatest common factor of g and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2040 is divided by 138?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g. Suppose 3*t - 18 + 6 = g. Solve 0*s = t*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/9*(-7 - (3 - 19)). Put -5, 0, 3, c in ascending order.\nAnswer: c, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15960\/(-492480)*(-6)\/7*((-16)\/(-30))\/1?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.86 - 4.14. Which is the fourth smallest value? (a) k (b) 3 (c) 2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 - 49. Suppose 5*q - 640 = -k, 285*q + 256 = 287*q - k. Calculate the remainder when q is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1278 divide 7614316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 + 229*i**4 + 10*i**3 + i**5 - 214*i**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/16283034 and -83\/2442.\nAnswer: 179113374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4226.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/34 + 23\/68. Let m = 3655 + -3654. Which is the second biggest value? (a) 29 (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3903*s**2 - 8*s + 1534. Let q(b) = 7807*b**2 - 18*b + 3067. Let v(z) = 9*a(z) - 4*q(z). What is the first derivative of v(d) wrt d?\nAnswer: 7798*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 22*q + 6. Let t be k(-11). Suppose 2*n - 3*c = 2, -4*n - 3*c = -8*c - t. Solve 2*g = n + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in 0.4, -2\/9, -5, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -105.0318. Round t to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 7*j**2 + 6*j + 18. Suppose 2*y + 4*a - 2 - 2 = 0, 4*y + 5*a = -7. Calculate the remainder when p(y) is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 12, -1\/6, 6\/7, 6, -5.\nAnswer: -105, -5, -1\/6, 6\/7, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 50*k**3 - k**2 + k - 22. Let d(u) = -51*u**3 + 20. Give 3*d(t) + 2*l(t).\nAnswer: -53*t**3 - 2*t**2 + 2*t + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1849 and 0.2?\nAnswer: 0.03698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 44. Calculate c(-10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.967643373 and 0.4.\nAnswer: 3.367643373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027729 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 537 + 39. Calculate the remainder when 129 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 32.5. What is the third smallest value in -7\/4, -3\/2, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/((-384)\/(-20)))\/(7*(-4)\/(-336)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1110*s**2 + 5*s + 2. Let u(r) = 11*r. Determine u(k(h)).\nAnswer: -12210*h**2 + 55*h + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 35705?\nAnswer: -35701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 1151799?\nAnswer: 2303598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/792)\/((-6)\/8).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32344\/26 - (2 + 0). Suppose -p = 10*h - 3072. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47, 98, 149, 200?\n\"Answer: 51*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 367, -5\/12, -12.5, -5?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -466*u**3 + 425*u - 432*u + 6 - 6 as k*u**3 + g + z*u + t*u**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2265 = -3*j - 3*i, -4*j = -j + 4*i - 2267. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f + 349. Let t be c(0). Let l = 584 - t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023464461 rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.9 - 0.1. Let y be 0\/1 - 61\/(-244). Put p, y, 3\/7 in increasing order.\nAnswer: p, y, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*a**3 + 45*a**3 + 4*a**3 + (-3*a**2 - a**2 + 5*a**2)*(2*a - 3*a + 4*a) - a**3 + 5*a**2 - 5*a**2.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -511\/4 or -72\/331?\nAnswer: -511\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 2, a: 1, q: 1, p: 4, w: 4}. Give prob of sequence zmp.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-1) + 3)*-1. Let d(s) = -s - 5. Let q be d(a). Let m = -6.99 + -0.01. Put q, 0, m in decreasing order.\nAnswer: 0, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/38*12\/42?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13637428 to the nearest integer?\nAnswer: 3693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*i - 25, 30*i - 35*i - 4*x = -24. Is 26\/5 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -1. Let k = j + -10. Let w = -2161 + 2157. Sort k, w, 0 in descending order.\nAnswer: 0, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1405692 + 468486 - 10*g**3 + 468483 + 468723 + 9*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/50 - -3\/25. Let l(x) be the first derivative of 0*x**2 + 2 + 2*x + 0*x**3 + p*x**4. What is the first derivative of l(j) wrt j?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(98) + 2.\nAnswer: 2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*s**2 - 39*s**2 + 153*s**2 - 73*s**2 - s**3.\nAnswer: -s**3 - 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxuxxuuuxxxxuuuuuuxx. Give prob of picking 1 u and 3 x.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 - -7*3. Let g be (26\/(-4))\/(2\/(-28)). Let h = g - v. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223301302 (base 4) to base 15\nAnswer: -381e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 4. Let v be z(4). Find the second derivative of 9*o**2 - 9*o**2 - 5*o**v - 2*o**4 - 12*o wrt o.\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16809784 is divided by 77.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 121\nAnswer: 32\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.66 - -10. Let a = -0.14 + x. Let p(n) = n**3 - 2*n**2 - 4*n + 4. Let l be p(3). Which is smaller: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 18*l**3\/5 + 8826*l**2\/5 + 5854*l + 4870 = 0.\nAnswer: -487, -5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 (base 9) in base 5?\nAnswer: 3013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -209, -1280, -4079, -9470, -18317?\n\"Answer: -144*z**3 - 63*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 175\/1667 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36516*o - 36521*o + 54 = 6*f, -5*o = -4*f + 36 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = c - 79, 0 = 4*u + 5*c - 2*c - 97. Calculate the highest common factor of u and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -40*u**2 + 2*u + 4. Let q be x(-2). Let j = q + 226. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972, 2059, 3146?\nAnswer: 4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222286 is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, -38.3, 460, 6\/11.\nAnswer: -38.3, -0.5, -0.2, 6\/11, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 14\/3*h**4 - 1\/2*h**2 - 1\/6*h**3 + 4*h + 0. Let b be y(-1). Calculate the greatest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1249 = -6*j - 241. Let p = 494 - j. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88ca9 (base 14) to base 16.\nAnswer: 51005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -2*g. Suppose -4*r = -5*r - g. Is 13 a factor of r\/(-3) - 76\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*d + 3 = 0, 5*n = d + 3*d - 15. Let f = 109.6 + -106.6. What is the second biggest value in n, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**3 - 28*f**2 - 8*f + 19. Determine o(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2124462, 4248932, 6373402?\nAnswer: 8497872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10765 + -10764.91. What is the smallest value in s, -49, -4, -0.4?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 16*t. Let c be h(16). Let y(f) = f**2 + 12*f + 3. Let x be y(-10). Let n = -35\/2 - x. What is the nearest to c in -1, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00463059 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2908512*f*s**3 - 3*f*s - 2*f + 19*s**2 + 5751 wrt s?\nAnswer: 17451072*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 3:00 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7289142\/167 or -43648?\nAnswer: -7289142\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*q, 4*o + 4*q + 5 - 1 = 0. Suppose 5*l - 96 = h, 3*l = -0*l + 5*h + 40. Suppose 0 = l*d - 5*d + 15. Is d at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(76)\/sqrt(4))**2*2*1 - (sqrt(114)*-1)\/sqrt(6)*-5) + (sqrt(133)*-3*3)\/(sqrt(21)\/(-1*sqrt(3))).\nAnswer: 4*sqrt(19) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-24))**(2\/9)*(g\/(g*g*g\/(g**14*g)*g*g*g))\/g**(-25) assuming g is positive.\nAnswer: g**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*s**4 + 15\/4*s**3 - 384*s - 360 - 41\/2*s**2.\nAnswer: (s - 10)*(s + 1)*(s + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -17 + 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467084951 to the power of 1\/2, to the nearest integer?\nAnswer: 21612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -68820021.\nAnswer: -68820021.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21700 - 4?\nAnswer: 21674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002386333 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 67827.\nAnswer: 135654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 61 + 63 - 7*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7806 - 1127?\nAnswer: -8930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (588\/(-42))\/((4*1)\/2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Suppose 0 = -12*h + 47 - 11. Let g be s\/8 + h\/6. What is the third biggest value in 5, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 581 or 43547\/75?\nAnswer: 581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -1125 - 1127 + 482. What is the remainder when p is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -27*m + 7872. Let j = 993 - m. Let o(b) = -2*b - 7. Let v be o(-5). Solve 5*u + 4*g - j = 0, u = -3*u + g + v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 8. List the prime factors of 53\/n*8\/(-8).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpompctwotco. Give prob of picking 1 p and 1 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2794 (c) 66\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Let r(f) = 102*f**2 + 3*f - 3. Is r(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 157. Let g = 85.999931 + s. What is g rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, 35, 184, 475, 956, 1675, 2680, 4019?\nAnswer: 5740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12984089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 17688779342980 and 0.2.\nAnswer: 17688779342980.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/(p**(-7)*p*p))**(-27)*((p*p\/(p\/(p\/((p\/p**(2\/5)*p*p)\/p)*p)))\/p*p\/(p\/p**(-2)))**(2\/107) assuming p is positive.\nAnswer: p**(-101131\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -318248?\nAnswer: -318251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:57 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8557718 and 1?\nAnswer: -0.8557718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1573)*-2*-6*2 + -2)**2.\nAnswer: -1056*sqrt(13) + 906053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllkvlvlkvlmlvav. What is prob of sequence av?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -4*s**2 + 0*s**4 - 1\/30*s**5 + 0*s + 0 + 0*s**3. Let c(f) = -39*f**2. Calculate c(w(o)).\nAnswer: -156*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -35, -0.04, 4.36?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((1 - -24) + 242 + -240)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 80*z - 63. Let x be y(41). What is the greatest common divisor of x and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = -3*v, -4*v = -3*o. Let f be 3\/(-9) + 40\/12. Solve -f*w + o = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1149657*z**3 + 44755*z**2 - 10?\nAnswer: -6897942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from wwwwwwwwiwwwwwwiww.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011095288 to 5 dps.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 4 - (8 - 5 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 15*j = 6*j - 11*j - 1222, 2*j = -2*x - 183 + 63 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, x: 9}. What is prob of picking 3 q?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/4, -54, -1362?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - j**2 + 6*j - 19. Calculate k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 0*a**2 - a**2 + 4 - 5*a**2 - 4 + (5*a - 13*a + 9*a)*(-2*a + 2*a - a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = z + 55. Let l be (-1)\/(1\/34*2). Let x = l - z. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.15. Let v = 0.09 + -19.09. Let d = v - -15. Which is the third smallest value? (a) -2 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 3*z + 0*z**2 + 276 + 98*z - 274 - z**2 to f*z**2 + c*z + w and give c.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 14. Let q be h(-10). Let i(v) = -v**2 - 4*v + 4. Let x be i(q). Suppose 228 = x*d + z - 6*z, -2*d + 5*z + 114 = 0. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxww when four letters picked without replacement from {w: 3, p: 3, b: 2, f: 1, x: 1, m: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-69)\/(-598))\/(11*-3)?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -36, -180, -490, -1026, -1848, -3016, -4590?\nAnswer: -6630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -9. Let l be v\/(1 - 3\/5). Is l at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let p be (-9)\/(-90) - (-769)\/10. Suppose l = 3*w + 14 - p. What is the greatest common divisor of w and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - b**2 + 0 + (-2*b + 0*b + 3*b)*(3 - 3 + 2*b) - b + b + 3*b**2 - 16*b**2 - 10*b**2 + b + 1 + b**2.\nAnswer: -21*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60 or 16805\/277?\nAnswer: 16805\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**2 - 384*h - 4798. Calculate a(-64).\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.86 times -0.1576283?\nAnswer: -0.135560338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 20*a**2 - 668*a. Let d(v) = 7*v**2 - 223*v. Determine -14*d(b) + 5*n(b).\nAnswer: 2*b**2 - 218*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64043 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1138*x + 231. Is i(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 942 = -3186. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -354, -454, -538, -600, -634, -634?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -16. Suppose -9*o + 13*o = v. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2063, 4108, 6153, 8198?\n\"Answer: 2045*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 12*g + 9. Let v be f(6). Let r = -15 - v. Suppose 4*c + 142 = 5*i, c + 144 = 5*i - 2*c. What is the highest common divisor of r and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*z - 69, 3*z - 28 = -o + 15. Sort 9, -4, z, -1 in increasing order.\nAnswer: -4, -1, 9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/24, 0.6456, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56085289 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 0, 54, 555 in descending order.\nAnswer: 555, 126, 54, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-172362)\/(-32832) - 2\/(-9). Let i = -21\/608 + r. What is the common denominator of -49\/20 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 244, 371, 500, 631, 764, 899?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149124178 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3 + -29.6802.\nAnswer: -33.9802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -375? (a) 896 (b) -5 (c) -2\/15 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 - 1635?\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 70*j + 6. Let u(y) = -1682*y - 145. Let b(f) = -145*i(f) - 6*u(f). Let t(m) = 2*m**2. Give b(t(q)).\nAnswer: -116*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71553 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -73, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32705753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, u: 12, t: 1, c: 1}. Give prob of picking 2 u and 1 x.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 1578.2404\nAnswer: 789.1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r + 30 = 64*r. Let c be ((-7)\/(175\/(-10)))\/((-1)\/5). Put 7, r, -4, c in decreasing order.\nAnswer: 7, c, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/5 + 514804*k**2\/5 + 11324236*k\/5 + 62280636\/5.\nAnswer: 4*(k + 11)**2*(k + 128679)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 16. Differentiate -r + 11*k**4 - 19*k**4 - 16*k**4 wrt k.\nAnswer: -96*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 349805 and 728896.\nAnswer: 156712640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267935789 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*(-21)\/42\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2331*l**2*m**5 + 2*l**2*m**2 - l**2 - m**5 - 30*m**2 wrt m.\nAnswer: 139860*l**2*m**2 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Suppose -4*k = -s*w + 25, -2*k = 5*w - k - 25. What is the greatest common divisor of 45 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 4:35 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.6329 - 36\nAnswer: -35.3671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 5*g**3 + 8*g**2 + 4*g.\nAnswer: g*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -7*n**5\/5 + 14*n + 2. What is the first derivative of c(o) wrt o?\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 79 - 75 - 200\/(-2). Put 0, 5, r, -4 in increasing order.\nAnswer: -4, 0, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14.2, -4, -1\/5, -176, 1 in increasing order.\nAnswer: -176, -4, -1\/5, 1, 14.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 954288 and 88074?\nAnswer: 1556443728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4105 - -4106. What is the smallest value in -0.1, 0.4, b, -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a micrometer in nanometers?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 13*n + 17*n)*(-n - 2211 + 4*n**2 + 2211) to the form z + c*n**2 + k*n**3 + q*n and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 45387, 163, 6 in descending order.\nAnswer: 45387, 163, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 w, and 1 u when four letters picked without replacement from wssswywyuwuwwwsswyw?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/238324 and 21\/104?\nAnswer: 6196424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by 49.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 5657 + 10355 = 3900. Are w and 753 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 - 9*t**2 + 8*t - 6. Let h be ((-28)\/(-12) - 4)\/((-1)\/3). Calculate the remainder when a(h) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, -14.11, -3, 0.5, 5.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)*c*c*c*c*c\/c**(-1)*(c**(-2\/7))**(-3\/10) assuming c is positive.\nAnswer: c**(-102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-2)\/(-27))\/(-2))\/(16\/660) and 81\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10909863113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/8 - 5*h**3\/2 + 9*h**2. Let j be r(-7). Suppose -66 - j = -4*w. What is the highest common divisor of 36 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (3 + -1 - (-5 + 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 29. Is 13 a factor of r + 24 + -28 + (-546)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, t: 1, u: 3, l: 5}. What is prob of sequence jujt?\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:44 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 742, 2022, 3904, 6388, 9474?\nAnswer: 13162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-9)*6\/4. Sort 3, 4, -4, q in descending order.\nAnswer: 4, 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 137, 133, 127?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d. Suppose 8*v - 3*v - 20 = d. Let s(m) = m + 3. Does 5 divide s(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 27. Suppose -4*d + d - 39 = -p, 42 = 2*p + 3*d. Suppose 0 = -4*w + 21 + p. Calculate the highest common factor of w and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30569, 61123, 91671, 122213, 152749, 183279, 213803?\nAnswer: 244321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.04, 0, 2, 0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p**2 + 28*p**2 + 23*p**2 + (2 - 6 + 2)*(-2*p**2 - 2*p**2 + 3*p**2) to n*p**2 + s + h*p and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18*-5*(0 - (-6)\/(-15)). What is the highest common factor of w and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-2)*(-9)\/18)\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 a factor of 644222178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 - y - 1. Let k(j) be the first derivative of j**4 - 5*j**3\/3 + 5*j**2\/2 + 5*j + 4. Give k(c) + 5*p(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 42*r + 236. Suppose -539*j = 15921 + 9412. What is c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let b be v(5). Solve 7 = b*q - 2*j + j, -2*j = 5*q - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 6*t - 4 - 9*t**2 + 7*t + 0*t**3. Let a be h(9). Let i(m) = -2*m + 1. What is i(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, x: 5, f: 1, u: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-16)\/(11856\/(-3731)). Let b = 12 - 12.12. Let n = 5.12 + b. Sort n, 0.2, v.\nAnswer: v, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 - (-10 - (85 - 127)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 + 467. Solve -218*x + 2 = -q*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003287167 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -210.81693 - -249.81693162. Let m = 39 - c. What is m rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1849*t - 1851*t + 7*j + 65, 0*t + 6*j = -t + 2*j - 35 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 15*h + 37. Calculate q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 1 - 13 = 0. Let d(r) = -51*r**2 + 4*r + 24. Let j(t) = 357*t**2 - 30*t - 168. Let x(w) = i*j(w) - 15*d(w). Differentiate x(q) wrt q.\nAnswer: 102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001001111110000011 (base 2) in base 4?\nAnswer: -12021332003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4984 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 89*f**5\/20 - 23*f**3\/2 - 89*f. What is the second derivative of r(b) wrt b?\nAnswer: 534*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (sqrt(140) + -2*sqrt(140)))*2)\/(sqrt(245)*2 + sqrt(20)*3).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from qqqqqqqqqqqqfqqqqqqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 77\/42)*8\/(-6). Put -0.3, -8\/5, q in ascending order.\nAnswer: -8\/5, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1047, -1046, -1045?\n\"Answer: v - 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + 72. Let w = 106900150 + -106900049.000049. Let q = w - u. Round q to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 108 - 153 = 0. Which is the fourth smallest value? (a) -4\/5 (b) g (c) 0.05 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**4\/17 + 236*j**3\/17 + 78*j**2 + 2416*j\/17 + 1320\/17 = 0.\nAnswer: -33, -10\/3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(180) + -2 + 0) - (-5 + -3*sqrt(180)*-2))**2.\nAnswer: -9900*sqrt(5) + 110025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2 + (4\/(-8) - (-1521)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*g + g**4 - 14*g + 2*g**3 - 4*g**4)*(-7*g - g - 7*g).\nAnswer: 45*g**5 - 30*g**4 - 60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -6 - 8. Let j(d) be the third derivative of 0*d - 1\/105*d**5 + 0 + 3*d**u - 1\/84*d**4 + 2\/21*d**3 + 1\/420*d**6. Factor j(i).\nAnswer: 2*(i - 2)*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(9\/4)\/(l\/l**(-10)))\/(l*l**(4\/7)*l*l**1))**(-6\/25) assuming l is positive.\nAnswer: l**(207\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttqctihththq. What is prob of picking 1 i and 1 t?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2268 = -9*x. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4 - 33500*m**3 + 67008*m**2 = 0.\nAnswer: -16752, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/40 - 9*r**4\/64 - r**3\/8 - 9*r**2. Factor m(z).\nAnswer: -3*(z + 2)*(4*z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14446 - -43367\/3. What is the common denominator of (-1358)\/(-1029)*(-2)\/8 and u?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1 - k**2 + 1. Let l(s) be the second derivative of 0*s**2 - 5\/4*s**4 - 10*s + 0*s**3 - 3. Determine l(r(p)).\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10870330 to the power of 1\/2, to the nearest integer?\nAnswer: 3297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*q - 5015 - 3016 = -1156 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from nlzaw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -497\/9. Let u = 0.04 + 2.96. Let g = 0.31 - -0.09. Which is the smallest value? (a) m (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 12:38 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*b - 15525 = 0, 0 = 5*r - 6*b + 5*b - 15525. Is r a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 - y - 7. Calculate r(-4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1061\/135 - -11\/270. Calculate the common denominator of 63\/550 and z.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 72.869ml?\nAnswer: 0.072869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 1\/((-21)\/(-36))*(-17696)\/(-237)?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 2, a: 4, r: 6}. What is prob of picking 1 r, 1 j, and 1 x?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/4)\/(a\/a**(-4\/5)))\/(((a*(a**(-2\/23)\/a)\/a*a*a)\/a)\/a**(6\/11)) assuming a is positive.\nAnswer: a**(-12233\/5060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10718, 42830, 96328, 171206, 267458?\n\"Answer: -a**3 + 10699*a**2 + 22*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 23 - (-83 + 12 + 90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 1\/2*-10. Suppose -7*b = -o*b. Solve k - 1 + b = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 528.482 - 529. What is t rounded to 2 decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(2*r + 8*r + 13*r).\nAnswer: 46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2084330, -2084369, -2084406, -2084441, -2084474?\nAnswer: -2084505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3997.\nAnswer: 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/60 and -139\/8700?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b - 6. Let k(u) = -14*u - 2. Give -2*d(h) + 3*k(h).\nAnswer: -16*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 28 = 2*g. What is the remainder when 110 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*i - 5*h - 0, -h = -i + 4. Let z(g) = 8*g**2 - 28*g - 10. What are the prime factors of z(i)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297*(-13)\/(-117) + -35\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/34*(8\/(-21))\/(578\/(-867))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13987479.\nAnswer: 3, 11, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14123 (base 12) to base 9.\nAnswer: 42140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1959*a**2 + 5*a - 1457*a**2 + 3411*a**2 - 5*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*a**4\/4 + 27*a**3\/2 + 47*a**2\/4 + 3*a\/2 = 0. Calculate a.\nAnswer: -3, -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 - 0.18. Let w = -0.3 - t. Let q = w + -1.9. What is the closest to -2\/5 in q, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*u - 22 = 0, 5*u + 1 + 19 = 0. Suppose 2 - 37 = -o*w. Factor a**2 + 3*a - 3*a**2 - w*a.\nAnswer: -2*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28988, -58158, -87328, -116498, -145668, -174838?\n\"Answer: -29170*b + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 192265*j + 1345825. Give v(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2656*x**2 - 2694*x**2 - 2600*x**2 + 7708*x**2.\nAnswer: -242*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 592. Let u = l + 622. What is the highest common divisor of u and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdvdspkppspdvddpkopp. What is prob of sequence kopd?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111 (base 4) to base 13.\nAnswer: -674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 6*m**2 - 2*m - 1. Let l be 2\/6*(4 + 2). Let q be v(l). Let j = 886 + -787. Calculate the highest common factor of q and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14743 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -15*w - 22. Let i be l(-23). Suppose -6*z + 5*z + i = 3*n, 3*n = -4*z + 1328. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 268*u + 55. What is the thousands digit of v(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, -0.04, 0.3, -2 in descending order.\nAnswer: 2.9, 0.3, -0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**5\/20 + d**4\/4 - d**3\/3 - d**2 + 8*d. Suppose w - 3 = 5*x, 0 = 3*w + 5*x - 7 - 2. What is n(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**3*y**3 + 1221*n**3 + 2*n*y**3 + 2*n*y**2 - 87*n*y wrt n?\nAnswer: 24*n*y**3 + 7326*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybififyff. Give prob of sequence iffb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(10 - 22) - 5\/(-1). Let s(n) = n**3 + n + 2 - 2*n + 7*n**2 + 6. Give s(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2359 = 5*y - h - 0*h, -2365 = 5*y + 5*h. What is the units digit of (-4)\/14*(y - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3552 = -22*p + 912. Let j be 4 - p\/(-28) - 208\/(-140). Which is the third biggest value? (a) j (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -148*j**2 - 64234*j - 747. What is v(-434)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z - 17*z**5 + 6*z**5 + 2*z wrt z?\nAnswer: -220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2498277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (34 + 0)) + 3. Let k be 40\/(-15)*v\/2. Find the second derivative of 18*n**3 - 5*n**2 - k*n**3 - 43*n + 14*n**3 wrt n.\nAnswer: -24*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) 167 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13996 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 2*z + 12*z. Let 1\/4*w**2 + z + 1\/4*w**5 + 0*w - 1\/4*w**4 - 1\/4*w**3 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15892 + -6353. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**5 + 3*o**5 + 2*o**5 + (-8*o**4 + 8*o**4 - 10*o**5 + 2*o)*(-4 + 16 - 3)*(2 - 1 - 2).\nAnswer: 92*o**5 - 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105651732 and 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by -3\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 76, 0, -36, -3 in ascending order.\nAnswer: -36, -3, -2, -1, 0, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u + 6 + u**3 + 8*u**2 + 14*u - 16*u. Let i be s(-7). Suppose 27 = i*h - 3. Sort -22, h, 2 in decreasing order.\nAnswer: h, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 + 3?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064563?\nAnswer: 3, 163, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24c67b (base 14) in base 7?\nAnswer: 13511514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - -3.02. Let w = r + -3.06. What is the closest to -3 in w, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/12 - m**3\/3 + m**2\/2 - 6*m + 8. What is z(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b = -5*g - 21, 3*b - 43 = -4*g. Solve -b*n - 170 = -47*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 20*p**2 + p - 3. Let h be o(18). Suppose -5*t + h = 233. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-16)*(15 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 23 = 59. Suppose q*o - 6*o = -424. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33.9 - 34. Let x = -2 - -3. What is the third biggest value in x, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = -0. Suppose -3*h + 18 = -3*d + d, -x*d = 2*h + 1. Let t(n) = -n**3 - n**2 + 4*n. Calculate t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878*x**2 + 12444 - 12444.\nAnswer: -878*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 26*b + 91 = 0. Let s(a) = a**2 + 12*a - 10. Let m be s(b). Suppose -3*h = -m, 2*h = 5*q - h - 1112. Is q 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 565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57205.\nAnswer: 5, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejej when four letters picked without replacement from eejjjeeeee?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009503761 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -214 + -14?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -256 (base 13) to base 10\nAnswer: -409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -1\/5, -14, -5 in descending order.\nAnswer: -1\/5, -0.8, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20211377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1175, 1180, 1187, 1196, 1207, 1220?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-490)\/(-147)*(-198)\/(-5). Suppose -10*r + 21*r = q. Calculate the lowest common multiple of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:24 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 162 - (-1 + 2 + -4). Suppose -5*y - 190 = v. Let h = -22 - y. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 305063 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-40))\/(-2*(-3)\/(-15))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1488\/(-15))\/(18\/20). Let g = -110 - f. Let k = -205\/6 - -34. Which is the nearest to 0? (a) k (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 244622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*t - 56*t + 119*t + 38*t to the form m + f*t and give f.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*c - 16808 + 1740 = 16780 - 823 for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crc when three letters picked without replacement from rcrrrcrr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 70*b - 583. Calculate v(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3 = 11. What is the units digit of (15\/6 - g)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500 + 490 + (1 + -2 + -1 - 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Suppose -42*s + 46*s - 2*u = 1556, 0 = 4*s - u - 1538. Calculate the lowest common multiple of n and s.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/60*(-6)\/(-273)*21*39.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 7a?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 369 + 2*h - 2*h.\nAnswer: -h**2 + 369","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/(-133))\/(5\/(70\/4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/3 (c) 2\/9 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9369, -18504, -27319, -35808, -43965, -51784?\n\"Answer: o**3 + 154*o**2 - 9604*o + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, -3, -5, 2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a - 4714 + 4394 = 0. Let o(t) = t**3 + 8*t**2 - 7*t - 10. Determine o(a).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11636 - -11781. What is the least common multiple of w and (8\/(-4) + 1)*-7?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1)*(42 + -42). Is -20\/41 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5.2. Let b = -133 - -132. Sort -0.2, b, 1\/9, p in ascending order.\nAnswer: b, -0.2, 1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:26 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 182, 377, 586, 809, 1046?\n\"Answer: 7*h**2 + 174*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 0*n - 5*n. Let y(m) be the third derivative of 0*m + 1\/84*m**4 + 9*m**2 + 0*m**3 + 1\/140*m**6 + n + 2\/105*m**5. Let y(k) = 0. What is k?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.15376 litres in millilitres?\nAnswer: 47153.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/6 - 4768*c**2\/3 - 14524730*c\/3 - 4775071400 = 0. What is c?\nAnswer: -4476, -2530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 62*q**2 - 2. Let n(m) = -4*m**3 + 249*m**2 - m - 8. Determine -9*k(g) + 2*n(g).\nAnswer: g**3 - 60*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 427846470 a multiple of 2989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d. Let y(l) be the first derivative of -10*l**3\/3 - 611. Calculate c(y(r)).\nAnswer: -70*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2366556 + -4204?\nAnswer: -2404063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**4 + 5748*y**3 - 2254972*y**2 + 133947228*y - 500076208 = 0.\nAnswer: 4, 67, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(-5)\/(-70)*-14*-1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*4*5\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404445 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: Evaluate 13 + -8 + 7 + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*k + 14 - 71, -4*k = -2*s + 34. Calculate the highest common divisor of 26 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2548*y**2 - 2957*y**2 - 130*y + 130*y + 7301*y**2.\nAnswer: 1796*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 430?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 39*l - 3. Suppose -92*b + 130*b - 608 = 0. Calculate the remainder when d(2) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 330923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 5. Let r be b(4). Let s be 1 - (0 + r)*2. Suppose 2*g - 95 = -5*x - s*g, 5*x + 4*g - 91 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*m + 46*m - 162*m - 170*m - 109*m.\nAnswer: -330*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 1. Let s = -69 + 68.44. Let i = 0.76 + s. Which is the third biggest value? (a) i (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-120)*6\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.596 + 5.09.\nAnswer: 4.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.52 and 0.225.\nAnswer: 0.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 5*z**2 + 5*z + 23. Let u be y(-5). Let l(c) = -17*c - 1. Calculate l(u).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**3 + 6*y**2 - 4*y - 1. Let v(g) = -g**3 - g**2 - 1. Let p(b) = -o(b) - 3*v(b). Let x = -7 - -3. What is p(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 3. Let v be s(6). Let n be 28\/98 + 52\/14. Let q = -0.1 + 0.1. What is the nearest to q in 0.5, v, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1480\/23532*(-15)\/(-25).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.443 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (183*o - 56512 - 56518 + 113030 + 549*o)*(-o + 0*o + 3*o) in the form c + u*o + d*o**2 and give d.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 36*u**3 + 392*u**2 - 7*u + 207. Calculate j(-11).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 - 3)*(-15*p**2 - 14 + 5*p**2 + 12) + 4*p - 4*p + p**2 to the form q + h*p**2 + g*p and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3157*k**5 + 1 - 552*k - 3919*k**4 - 3 + 3919*k**4 wrt k.\nAnswer: 63140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.38802ml to litres.\nAnswer: 0.00338802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, 3, -3\/16, 13594 in descending order.\nAnswer: 13594, 3, -3\/16, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -28. Let s(l) = 24*l**2 + l - 8. Let v(a) = -23*a**2 - a + 7. Let y(o) = -3*s(o) - 4*v(o). What is the hundreds digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, i: 8, x: 3, o: 1, r: 1}. What is prob of picking 2 i and 1 o?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**5 - 5*j**5 + 21*j**5 + (2*j**3 + 2*j**4 - 2*j**3)*(-5*j + j + 3*j) + 94*j - 94*j - 12*j**5.\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 = 4. Let w be (26\/f)\/(10\/15). Suppose w + 9 = -2*n. What is n rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 5 = 0, -2*p - 5*a = -43. Solve -o + 3*x + p = 0, -3*x - 8 = 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 3*i - 2*i)*(5 - 5 - 2) + 2 - 5*i - 2 to the form u*i + t and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.34503mg in tonnes?\nAnswer: 0.00000000934503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -22*k - 704. Let v be n(-32). Which is greater: -5\/1313 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g**2 - 50*g**2 + 39*g**3 + 97*g**2.\nAnswer: 39*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 18*w - 10. Solve 2*z - 4 = 2*b, -8*b = -5*z - w*b - 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/9800 and 11\/114800.\nAnswer: 803600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 + -157. Let s be -3 + (-1 - -18 - 2). Let d be (9\/s)\/(1\/4). Solve d*m + 5*x - 28 = v, 0 = m - 0*m + 3*x - 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 + 1468*p - 169 - 268 - 1468*p - 8*p**2.\nAnswer: p**2 - 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*x**4 - 5549*x**3 + 1245660 wrt x?\nAnswer: 180*x**3 - 16647*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 27. Solve 0 = 3*p - 5*p - 2*l - 8, 0 = -a*p - 4*l - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48150289 to the nearest integer?\nAnswer: 6939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 10 + 5 + 7 + 4.\nAnswer: 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-25) - (-34)\/10. Let b = 1\/320382 + 16286011\/23708268. Let a = b - 3\/148. Put -1, a, y in decreasing order.\nAnswer: y, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4.7. Let o = w - -0.3. Which is the nearest to o? (a) -0.4 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 122\/3*z**2 + 0 + 43\/3*z**3 + 80\/3*z + 1\/3*z**4.\nAnswer: z*(z + 1)*(z + 2)*(z + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 1221112022220?\nAnswer: -1221112100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.036 - 0.164. Let z = -0.19 - -0.59. What is the biggest value in z, 8.9, h?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 7*k - 4. Let n be (0 - k) + 0 + 2. Suppose -f + 15 = -n. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3158268?\nAnswer: 2, 3, 23, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21*4\/16 - (2 + 3). Let l(h) be the second derivative of 4*h + n*h**4 + h**3 + 0*h**2 + 0. Find the second derivative of l(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 9, y: 2}. What is prob of sequence yry?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from kktrthk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from llhhh.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 9*r + 298. Let k = r - -2082\/7. Let z(w) = 10*w**3 - 2*w**2 + 2*w - 1. Let v be z(1). Put v, k, 0.4 in descending order.\nAnswer: v, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0067338 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/7 + 7790*i**4\/7 - 32640*i**3 - 3488320*i**2\/7 - 14947840*i\/7 - 20593152\/7 = 0. What is i?\nAnswer: -3924, -4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n. Let z be r(2). Let y = z + -5. Is y bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13464, -14975, -16486, -17997, -19508?\n\"Answer: -1511*f - 11953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 123, 198, 273, 348?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/((-4736)\/20)*4\/10.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 11*m**3 + m**3 + 899*m**2 - 11*m**3 + 3*m**3.\nAnswer: 7*m**3 + 899*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/24*2*-12. Let q(c) = -c**2 + 8*c - 8. Let p be q(6). Suppose 205 = p*b + t*a, -3*b + 100 + 90 = -5*a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84*(-2 + 0 + 161\/69) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-244)\/(-804) + (-2)\/6. Suppose o = -a - 5, -3*a = -3*o - 0*a + 15. Suppose o*t = 7*t + t. Which is greater: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.75, 2\/137, -0.1, -1.83?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {d: 1, o: 5, l: 4, a: 5}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -917.67 * 5\nAnswer: -4588.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -970512.4\nAnswer: 970527.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 69. What is the units digit of j(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13566*v + 13512*v + 486. Solve 710 - 674 = -v*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.3, -0.194, 0, 0.4, 366?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*n - 84088 = -1709*n - 1812*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/14)\/s*s**42)\/(s**(2\/17)*s*s**20) assuming s is positive.\nAnswer: s**(4783\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n + 1. Let y(z) = 6*z + 3. Let h(l) = 14*l + 7. Let o(d) = 2*h(d) - 5*y(d). Give -4*m(k) - 9*o(k).\nAnswer: 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-90)\/(-5))*12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120103 (base 4) in base 6?\nAnswer: -113043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v - v)*(-375*v + 196*v + 184*v - 43*v**3).\nAnswer: 129*v**4 - 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2*-2*(-1)\/(-12652)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 6 = -3*w. Let d(c) be the second derivative of 1\/9*c**3 - 5\/36*c**4 - 4\/15*c**5 - c - 1\/10*c**6 + 0 + 0*c**w. Factor d(p).\nAnswer: -p*(p + 1)**2*(9*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 14, -6456, 1, 1\/5, 0, -1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*v**5 + 1116*v**4 + 1405357*v**2.\nAnswer: 16080*v**2 + 26784*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1377\/(-85) - -15)\/((-2)\/200). Suppose 0 = -4*l + 6 + 2. Suppose v = l*a + 20. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 9 + 7 + 8*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k + 2. Let v(h) = 3*h - 10. Let c(f) = f - 2. Let y = -194 - -195. Let j(o) = y*v(o) - 5*c(o). Calculate n(j(r)).\nAnswer: -22*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-16)*228\/(-95) - 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-208)\/(-65))\/((-12)\/(-270)). What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*h + 298. Let a = 89 + h. Solve -a*v + 4*r + r - 20 = 0, -r + 4 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.35 - 14.8. Let d = a + -0.35. Sort d, -9, 5 in ascending order.\nAnswer: -9, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41368.\nAnswer: 2, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 - 1 = 0. Factor -4*i**4 + 0*i - 4*i + a*i**4 + 4*i**3 + 2 + 0*i.\nAnswer: -2*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-48) + (-904)\/(-6). Suppose -z*o + 14 = -148*o. Calculate the remainder when 20 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 11:35 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 25. Suppose u*m = -8*m - 82500000. What is m rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btbttktbbbtbtbftt. What is prob of sequence kbtt?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + 60992*r + 24*r**2 + 8*r**3 + 11 - 10*r**3 - 60992*r as s*r**3 + v*r**4 + t*r + n*r**2 + x and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161279354 is divided by 8234.\nAnswer: 8230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48317 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -20 + 3 + 2 - -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.045 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**4\/7 - 12992*v**3 + 272760*v**2\/7 + 818368*v\/7 + 454660\/7 = 0.\nAnswer: -1, 5, 22733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 485 + -311460?\nAnswer: -310975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-5)*5*(-1)\/140.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9088550, -18177106, -27265662, -36354218, -45442774?\nAnswer: -54531330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -1 - -1)*(-2)\/4. Suppose 4*h + 133 + 318 = 3*p, -u*h = -5*p + 737. Let c = p - 141. What is the least common multiple of c and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 43.71594ms?\nAnswer: 43715.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166783493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**20)\/z**(-2)*z*z\/z**(-8\/9)*(z**(1\/8)\/z)\/z assuming z is positive.\nAnswer: z**(-1151\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(25) - (-2*sqrt(225) - sqrt(225))\/sqrt(9))\/sqrt(5))**2.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllwlqlwwlwbwwqlwl. What is prob of sequence lbwl?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1159, 1180, 1211, 1258, 1327, 1424, 1555, 1726?\n\"Answer: w**3 - w**2 + 17*w + 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.147 times -11?\nAnswer: -1.617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43031274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5563 (base 11) to base 8.\nAnswer: 16241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 7. Let t be (26\/(-65))\/((-1)\/(-5)) + 186. Let b = t - 180. Let j(h) = -2. Give b*j(x) + 2*p(x).\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0*y**2 - 5\/4*y**4 + 0 - 2*y + 0*y**3. Let d(j) = 2*j. What is f(d(n))?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1971 and 56283?\nAnswer: 506547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-3)*8\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7178544g to kilograms.\nAnswer: 0.0007178544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s - 3. Let j be n(-3). Suppose 3*q = 180 - j. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(2*n + 4*n + 0*n) + (0 - 4 + 3)*(5*n - 2*n - 2*n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 12*o + 21. What is h(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068 + 318 = -10*v. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:23 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 1, t: 2, g: 2}. What is prob of picking 2 t and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344250216.\nAnswer: 2, 3, 271, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w - 4*w - 2*w**2 + 3*w - 4*w as i*w + h*w**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212425472 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -53 - (233 + -198)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 68*5\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-332)\/415*19)\/(4\/10)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -4 + 2 + 4. Let m = 5 - z. Suppose 0 = -5*x + 5*o + 20, o + 46 = 4*x + m*o. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from lzalaaalz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/2 of a day?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**14*j*j*j\/j**(-3\/2)*j)**(-2\/45) assuming j is positive.\nAnswer: j**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22613?\nAnswer: 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/13 (b) 0.5 (c) 4 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*(o*o**(-2\/7))\/o)\/o)\/(o\/(o**(-3)\/o)))\/(o**(2\/7))**19 assuming o is positive.\nAnswer: o**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -10)*(-2 - (-45)\/24). Let w = 0.38 - 0.08. Which is the closest to 0? (a) x (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*3\/27*54\/(-30)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -81, -41, -1, -5 in decreasing order.\nAnswer: 70, -1, -5, -41, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.9 + 5.47. Let o = 0.07 - c. What is the smallest value in 1\/4, o, 4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*-2)\/((-1)\/40*-30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -54.7. Let u = w - -0.4. What is the third smallest value in u, 0, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*4\/40 - 5*(-460)\/(-1750)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -525093, -1050188, -1575283, -2100378, -2625473?\nAnswer: -3150568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 12) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1394357 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -585*p**2 + 54*p + 36. Let z(t) = 167*t**2 - 15*t - 10. Let u(f) = 5*k(f) + 18*z(f). Let j(b) = 9*b. Give u(j(i)).\nAnswer: 6561*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56505 - -5002.940914?\nAnswer: 61507.940914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -444311391*f**2 + 437726302?\nAnswer: -888622782*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 317 + 281 = 0. Solve 1 = -s + 4, -c*s + 15 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504937673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 665922863 or 1331845727\/2?\nAnswer: 665922863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*g**2 + 48*g*r**2*t**3 - 133*r**2*t - 248*r*t**3 wrt g?\nAnswer: -44*g + 48*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*k + 45, 13 = k + 10*u - 9*u. Let i be (1 - (-4 - -4))*-1. Sort -2, k, i.\nAnswer: -2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 24 = -3*p. Let k(g) = g**3 + g**2 - 6*g + 4. Let o be k(p). Calculate the highest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73233184403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 0*a)*(-93 + 21*a**2 + 93) + 28 - 6*a**3 + 26 - 53.\nAnswer: -27*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 171143.\nAnswer: -3\/171143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1526 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2621, 5246, 7871?\n\"Answer: 2625*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -24\/13 (c) -5\/2 (d) -0.74 (e) 4394\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 58*f**3 - f**2 - 2*f + 6. Is 77 a factor of n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-108)\/(-72) - (-4)\/8. Let 17\/3*q**3 + 0 + 20\/3*q**4 - 2\/3*q - 5\/3*q**y = 0. What is q?\nAnswer: -1, -1\/4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 10\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:18 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 72*l + 2621. Give o(-36).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - m**2 + 3*m - 2. What is the units digit of b(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4, -17*n - 4*r - 2618 = -18*n. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 4*p)*(2*p**2 - 2*p**2 - p**4) - 15*p**5 + 69966*p**3 - 1972*p**2 + 13*p**5 - 69967*p**3.\nAnswer: -4*p**5 - p**3 - 1972*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50, -117, -190, -275, -378, -505?\n\"Answer: -r**3 + 3*r**2 - 69*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) + ((-145)\/7 - 7). Is -1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alllaaaalzl. Give prob of picking 2 a.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109617982, -219235960, -328853938, -438471916, -548089894, -657707872?\n\"Answer: -109617978*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 2*l**5\/3 + 101*l**4\/3 + 530*l**3\/9 - 316*l**2\/3 - 104*l + 919. Solve d(r) = 0 for r.\nAnswer: -39, -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 12 = 2*m, 2*b + 36 = -b - m. Let d be (1\/(-2))\/(2\/b). Let u be 5*((-9)\/d)\/3. Let o(t) = t**3 + 5*t**2 - 5. Calculate o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/4 - 3\/6. Suppose -2*z + 5320 = -f*c - 0*c, 0 = 3*z - 4*c - 7979. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6.9. Let d = -2.9 - q. Which is the third biggest value? (a) d (b) 1\/10 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/10 - (-6 + 4))\/((-41)\/(-410)). Let t be (2 + -4)\/1*-54. What is the greatest common factor of a and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.4 (c) 0.4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 5 - 5 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 292 + 6 + 6 + -18. What is the greatest common factor of n and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481 = 9*u - 352 + 374 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 - 33*o + 23. Let z = 194 + -181. List the prime factors of s(z).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 3*u - 1. Suppose y + 35 = 5*l - 4*y, -y + 5 = 5*l. What is j(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -2\/11 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137712997*c**5 + 6970*c + 1013 wrt c?\nAnswer: -2754259940*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328 and 2255?\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6509 and 208854?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1142444000 (base 5) to base 11\nAnswer: 1586893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 30*t**2 + 623*t + 70. What is the tens digit of l(38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*l + 33*l**4 - l**2 - 1 - 32*l**4 + 0 - 37*l to the form h*l**3 + c*l + w*l**2 + k + a*l**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 3 (c) 53.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429612329.\nAnswer: 53, 8105893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-3\/8)*t*t**8\/t assuming t is positive.\nAnswer: t**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 8*r - 8 - 21 to the form j + l*r and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.43, 0.2, -5?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -635, -1282, -2075, -2960?\nAnswer: -3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15926*o**2. Let r(q) = -31*q**2 - 2*q. Calculate r(l(y)).\nAnswer: -7862761756*y**4 + 31852*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((308\/(-132))\/(1\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 - 3*d**3 + 4*d**3)*(-2*d + 4*d + 7*d) + (-4*d**2 + 2*d**2 + 4*d**2)*(-d**2 - 2*d**2 + 4*d**2) - 5*d**4 + 5*d**4 - 3*d**4.\nAnswer: -19*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*o**3 + 91*o**5 + 9*o + 0*o**3 - 81*o**5 wrt o?\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus -1400682045288?\nAnswer: -1400682045308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 22*i + 2399. What are the prime factors of s(0)?\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - -4. Let j = 29 - p. Sort j, 4, 3.\nAnswer: j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1070932, 2141706, 3212480, 4283254?\n\"Answer: 1070774*i + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, -1.91, -3 in descending order.\nAnswer: 0.3, 0.2, -1.91, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 6. Let c be k(6). Solve -2*a + 4*f + 8 = c, -2*a - 5*f = 3*a + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h + 291088 = 291693 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -226313, -225510, -223337, -219110, -212145, -201758, -187265, -167982?\n\"Answer: 114*t**3 + t**2 + 2*t - 226430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t. Let j(d) = -d + 23. Let n be j(13). Let x(l) = -25 + 15 + 8*l + n + 0*l. Determine x(r(a)).\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 - 101. Suppose -1024 = 10*m - o*m. Let d = 1027 + m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231797703.\nAnswer: 3, 17, 23, 73, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = -4*c + 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 882 and 129906.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36025 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-18)*(-54)\/(-20) and 65\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*z**3 - 245*z**2 + 390*z - 45.\nAnswer: 5*(z - 3)**2*(8*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -16, -3, -4, -1 in descending order.\nAnswer: 61, -1, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38244564563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37071 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z**2 + 3*z - 8 + 14 - 3 - 2*z**4 - 11*z as u*z + o*z**2 + g + n*z**3 + l*z**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236016, 236015, 236014, 236013?\nAnswer: 236012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -68.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 - 11*m**2 + 23*m + 3. Let d(b) = -2*b**3 - 7*b**2 + 15*b + 2. Let y(x) = 7*d(x) - 5*p(x). What are the prime factors of y(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t**3 - 21*t**3 + 30*t**3.\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37582748 to the power of 1\/2, to the nearest integer?\nAnswer: 6130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 3*o - 19129, 2*k + o = 7645. What is the remainder when k is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, v: 4, u: 2}. What is prob of picking 1 v, 2 t, and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320 - 320 + 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 3*c)*(-26*c**2 + c**2 + 2*c**2).\nAnswer: -46*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n*x**3 + 61*n*x**2 - 36*n*x + 24227*n - 37*x**3 - 41*x**2 + 2*x + 1 wrt x?\nAnswer: 6*n*x + 122*n - 222*x - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -32.5. Which is the closest to -0.1? (a) u (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 13*a**2 - 12*a + 6. Let n be d(12). Let o(w) = 9*w - 17 - 6*w - n*w. Let b be o(-14). Solve 0 = -3*r + 4*c - 7, -3*r = c + 3*c - b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-9)*(-18)\/10. Let g(b) = b**3 + b. Let c be g(1). Suppose c*q = 6 + u. Is q != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 71. What is r(26)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Let o be ((-5)\/2)\/((-1)\/24). Suppose 5*z = -5*i + 7*i + o, 5*i = b*z - 60. Solve 3*s - 8 = r, 5*r + 1 = -2*s + z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4491162536 + -4491162184.9999799. Let a = i - 351. Round a to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -12*l - 3. Let v be (128\/96)\/(-5 - l). Let x = 1 - 0.96. Which is the closest to 1\/4? (a) 2\/5 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2 = -46. Suppose 0 = 4*s - 528 - v. Let q = s + -137. Put 0, 4, q, 2 in decreasing order.\nAnswer: 4, 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjgxghxgghhjhj. Give prob of picking 1 h and 1 j.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c**4 - 2*c**3*u**2 + c**2 + 10*c*u**2 + 2*c*u - u**2 wrt c.\nAnswer: -84*c**2 - 12*c*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y**4 - 1630*y**3 + 364222*y**2 - 2584946*y + 821240 = 0 for y.\nAnswer: -419, 1\/3, 7, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 900, 925, 950, 975?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 40*k**3 + 24*k**2 + 228*k + 30. Let d(n) = -8*n**3 - 5*n**2 - 44*n - 6. What is -14*d(m) - 3*o(m)?\nAnswer: -8*m**3 - 2*m**2 - 68*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 67428.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 4*c + 7. Let a be b(-3). Let t(x) = 5*x + 25. Calculate t(a).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16515.88 decades to months.\nAnswer: 1981905.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19.46 and -7999.7.\nAnswer: -8019.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 2*a**3 + 0*a**3 + (3 - a**2 - 3)*(-1 + 1 - 3*a))*(6*a - 5*a - 5*a).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + s**2 + s. Let u(j) = -2*j**3 + 2*j**2 + j. Give u(z) + w(z).\nAnswer: -z**3 + 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132190 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 23. Let k be v(0). Let c = k - 19. Suppose -3*u = -3*o + 48, c*o + 5*u = o + 16. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 55 + -1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0 + 0*d + 1\/8*d**4 + 3\/20*d**5 - 13*d**2 - 1\/3*d**3. What is the second derivative of g(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7075*67.\nAnswer: -248.4025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953150.\nAnswer: 2, 3, 5, 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 17. Let u = -123 - -129.3. Let j = h - u. Put -0.5, j, -1 in decreasing order.\nAnswer: j, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73681766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6225\/(-1992))\/(6\/(-4)*((-245)\/(-42))\/35)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.1+8.14\nAnswer: 10.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8095 - -68.7895. Let f = l + 1.02. Let p = -69.085 + f. Round p to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5580526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*11238416.\nAnswer: -33715248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16*m**2 - 3*m + 3. Let l be x(1). Let y be (0 - 1)\/((-4)\/96). Solve 20 = 5*a + r, 4*r + l + y = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 68.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/2 (b) 79192 (c) -0.3 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-11)*a*a)\/((a\/(a\/(((a\/(a\/((a*a*(a**(-1\/3)\/a)\/a)\/a*a)*a)*a)\/a)\/a)))\/a)*a**4\/(a*a**(-9\/2)) assuming a is positive.\nAnswer: a**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - l - 10. Find n, given that n**2 + 0*n**3 - 2*n**3 + n**3 + n - l*n**4 + n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45466*h*n**2 + 4*h*n - 10*h - 21*n wrt n.\nAnswer: 90932*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 9. Let x be h(-9). Suppose -n = 3*a - 1, x = n - 5*a - 6 - 3. Suppose n*s - 636 = -0*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-19)\/(-7)*(34 - 32) and -83\/962.\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -287 - -296. Calculate the greatest common divisor of t and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2 + 17*x - 18. Let d(c) = -c**2 - c - 1. Let m = -35 + 49. Let s(y) = m*d(y) + 2*z(y). Find t such that s(t) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**5\/130 + 32*w**4\/39 - w - 62. Factor r(l).\nAnswer: 2*l**2*(l + 64)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 23*y - 16. What is the tens digit of n(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1860940 divided by -465235?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3, -23 = -5*p - 4*g + 2*g. Solve -4*t - p*w - 31 = 0, -4*t - w = -4*w + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let y(b) = 2*b. Let c(w) = -w. Let v(x) = 3*c(x) + 2*y(x). Let j(k) = -6*u(k) - 22*v(k). Let z(f) = -13*f. Determine z(j(l)).\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12592, 12590, 12586, 12580, 12572, 12562?\n\"Answer: -j**2 + j + 12592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -3065, -275, -2\/11?\nAnswer: -3065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q + 5 - 5 + (0 + 1 - 3)*(0 + q + 0).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1853*f + 695*f + 628*f + 682*f - 5320 = 0 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4) - 27\/(-6). Suppose 0 = 3*j + g*z - 6, 4*j - 2*z - 23 = -z. Suppose 4*d - 9 = -0*c + c, d - 3*c = j. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 13. Let f = j - -9.5. Let m = -2\/9 - -19\/45. Put f, -1, m in ascending order.\nAnswer: -1, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2016, -4040, -6064, -8088, -10112, -12136?\nAnswer: -14160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 2*v**3 + 46*v - 26*v.\nAnswer: 2*v**3 + 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3500) - 1*sqrt(3500))*1 - 3*(sqrt(3500) - sqrt(3500)*1))\/(((1*sqrt(77))\/sqrt(11) + sqrt(252)*-1 + sqrt(252))*5)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*m**3 - 594*f**2*m**3 + 3*f*m**2 - 11*m**3 - m wrt f.\nAnswer: 12*f*m**3 - 1188*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 73?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27912, -27934, -27992, -28104, -28288, -28562, -28944?\n\"Answer: -3*s**3 - s - 27908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/9)\/(4\/24). Suppose p = -4*a - 10, t*p = a + 6 + 5. Let l(f) = -4*f - 3 - p + 0*f + 2*f. What is l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:35 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1c69 (base 14) to base 12\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(0 - 2 + 4) + (-2 - 1 - 1)*(2 + 0 - 1))*(928*x**2 - 1500*x**2 + 2*x**4 + 0*x**4 + 2).\nAnswer: -12*x**4 + 3432*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (13 + -8 + -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74340020 by 14868004.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhvhfrfjcfccjvf. Give prob of sequence cjh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1886)\/(-18) - (-12)\/54. Suppose -m = -k - 4*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.2, 2\/7, -2 in descending order.\nAnswer: 2\/7, 2\/9, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 14*z + 2*z**3 - 10 + 10 to p*z**3 + l*z + n*z**2 + u and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2. Let o(q) = -1542*q + 290. Let r(w) = -316881*w + 59624. Let z(m) = 1028*o(m) - 5*r(m). What is z(a(g))?\nAnswer: 2313*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 + 337. What is the highest common divisor of 29 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 11:18 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from uauaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29429708*n**5 + 2*n**2 - n - 28524.\nAnswer: 1765782480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - 78. Solve -111 + 69 = f*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -11*w + 36162 - 9898. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 8*x - 14. Let y be h(10). What is the units digit of 3*y\/(-90)*(-2605)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/3466857 and 21\/5778095.\nAnswer: 17334285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 37*f**2 - 101*f + 34. Give v(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:49 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478863, 957379, 1435549, 1913373, 2390851?\nAnswer: 2867983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 7*s**2 - 189*s + 232. Give l(-18).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -82\/265?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3\/4, 4, 1\/8, -1 in increasing order.\nAnswer: -6, -1, 1\/8, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1274678578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152003742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604988 to the power of 1\/2, to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.458 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -17*k**5\/60 - k**4\/24 + 5*k**3\/6 + 2835*k**2. Let m(z) = -1. Give 6*m(q) + p(q).\nAnswer: -17*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13697?\nAnswer: 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v**2 + 619*v - 11955. Let l be a(37). Let w(j) = j + 0 + 1 + 0*j. Let o be w(-6). Sort l, 0, 4, o in decreasing order.\nAnswer: 4, 0, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 4*v - 21. Let n(q) = 10*q**2 - 18*q + 106. Calculate 2*n(b) + 11*z(b).\nAnswer: -2*b**2 + 8*b - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(3\/2)\/w)\/w*w**6)\/((w**(3\/8)*w)\/((w\/(w**(-1\/9)\/w))\/w)))**6 assuming w is positive.\nAnswer: w**(377\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 2:07 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1148 - 18147*g + 18148*g + 1148.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1 - 1) + -74)\/((-2)\/(-3)). Let p = 141 + f. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 + 10*v**3\/3 + 7*v**2\/2 - 21*v - 44. Let s be k(-9). Put s, 63, 1 in decreasing order.\nAnswer: 63, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:46 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i**2 - 1012*i - 7101. Determine d(-7).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121624021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 556161705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(2*q**5 - 8*q**5 + 0*q**5) - 2*q**5 + 4*q**3 - 4*q**3 + 5*q**5 + 2*q**4 + 3*q**4 - 4*q**5.\nAnswer: 5*q**5 + 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 421217 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/171*(-63)\/6\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k + 10*k**3 + (-2 - 1 + 5)*(-1 + 1 + 3*k**3).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3110629.\nAnswer: 41, 75869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 4 - 27*s - 41 + 29)*(2*s**2 - 10*s**2 + 2*s**2) + (-3*s + 4*s + s)*(-4*s**2 + 5*s**2 - 2*s**2).\nAnswer: 160*s**3 + 138*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3102 - -3.4\nAnswer: 3105.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -3)*((-519)\/(-6))\/(-1). Suppose -11*h = -12*h + a. Let x = h - 146. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + 16548*t**2 - 45474060*t + 41730023557. Let w(y) = 10*y**2 - 2*y + 1. Let k(n) = -a(n) + 3*w(n). Factor k(x).\nAnswer: 2*(x - 2753)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from uuuuuuuuuuuuuuuduu?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 9*p**2 + 898*p + 3516. Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - -7.45. Let f = p - 16.4. Which is the closest to 1? (a) f (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -489805032 + 489805037.00000001. Let u = -1.8 - 3.2. Let l = u + o. What is l rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*w - 4. Suppose -t - 4 = w, -4*t - 6 = -h + 13. Differentiate -h - 1 - 4*g + 12 + 4 wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -514*v**3 - 512?\nAnswer: -1542*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (47 + -37 + (-2 - -1) + 73) - 7?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Solve 7*v = -b*p + 4*v - 15, -4*v = 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 61 = 2*i, 4*c - 53339*i + 53334*i - 43 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*v = 884, 2*v + 631 + 462 = -5*g. Let x = g - -216. Let h = -278 - -2783\/10. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 80 - -1 - ((-17 - 1) + 22).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 17*p**2 - 16 - 4 + 23.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 936 and 37908.\nAnswer: 75816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*f, 22 = 5*a + 3*f + 3. Suppose 6*q = a*q + 23. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 14 = -19*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*a = -31, 47*y - 45*y - 3*a + 21 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/8 - 421*t\/8 - 13623\/4 = 0.\nAnswer: -57, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-41)\/(r**(2\/5)\/r)**(19\/4))\/(((r\/(r\/((r\/(r*r**(1\/6)*r))\/r))*r)\/r**(-1))\/(r**(-2\/9)\/r*r\/(r**(-2\/17)\/r)*r)) assuming r is positive.\nAnswer: r**(-110429\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 + -1 - (2 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(684) + sqrt(684) + -3 - (sqrt(684) + 1)*4) + -1 + 2.\nAnswer: -12*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -742798, -743014, -743230, -743446?\n\"Answer: -216*z - 742582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267*l**4 - 75*l**2 wrt l.\nAnswer: -6408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059425 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 - 270 = 6*u. Let v = u - -130. Let t be (-11)\/7*v\/((-4)\/16). Is -7 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10400778*g**3 - 12850250*g**2 wrt g?\nAnswer: 62404668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**5\/20 + g**4\/2 - g**3\/2 + g**2 - 285*g. Give r(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, g: 1, q: 5}. What is prob of sequence qgq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-10) - (-17)\/2. Suppose b*q = 4*q + 892. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3513)\/18 - (7\/(-6) - -1). Let o = y + 199. Solve -k = -2*i - 4, -i + 3 = o*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-8)\/(1008\/315))\/((-110)\/(2\/2)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1ba (base 16) to base 10\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63662 + -40?\nAnswer: -64032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152451731*n**2 - 2374*n + 31252.\nAnswer: -304903462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 i, 1 g, and 1 j when four letters picked without replacement from {l: 1, j: 3, g: 1, i: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - -1*sqrt(171)\/sqrt(3))\/(sqrt(75)*-1) + 2 + sqrt(228)\/(sqrt(48)\/sqrt(4)*-1) + 4.\nAnswer: -7*sqrt(19)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 + -259. Sort 5, r, -1, -2.\nAnswer: r, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -6*k. Which is the nearest to 0.1? (a) -4 (b) k (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*q**3 + 0 + 0 - 111*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/19 (b) -0.2 (c) 6 (d) -0.1 (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((1\/(-2))\/((-10)\/4)). Suppose i = -j*i - 12. Let x = 1.2 + -1. Which is the closest to x? (a) 4 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -212*y - 1. Suppose -5 = 2*h - 3. Is d(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 67*x**2 - 2*x + 2. Let r be f(1). Let n = r + -63. Solve 0 = -n*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 35*h - 38*h. Let z be (117294\/15)\/(((-4)\/h)\/4). Is z\/(-22) - 30\/165 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 25*t + t - c = 4*c - 79, -37*t - 4*c = -9*c + 103 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*x**4 - 2*x**3 + 3*x**4 - 62*x**4 + 2*x**2 + 2 + 2*x in the form z*x**3 + l*x**2 + c*x + s + u*x**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Let y = -31\/2 - -17. Sort y, l, -0.1.\nAnswer: -0.1, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 56 = -112. Calculate the remainder when (-2)\/3 - 16*z\/6 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*p = 635 + 149 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 351 and 297?\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 322553111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19565302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 6*f**2 - 312*f - 2564. Let h be k(-9). Suppose 5*q - n - 4 = -16, -15 = 5*n. Sort q, -2, -1, h.\nAnswer: q, -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y = -15*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirteen fifths of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/8*(-4)\/(-5). Let v(o) be the first derivative of 1\/3*o**3 - 2*o - 1 + 0*o**q. What is v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q**2 - 9*q + 18. Suppose -25*m = 19*m + 484. Is f(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104.92 + -105. Which is the smallest value? (a) 1 (b) t (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 42*b - 301. Solve 0 = -b*q + 43 - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 694 and 436873.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 227947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (6 - 5) - -31. Differentiate -c - 2*p**3 + 5*p**2 + 10 - 27 - 2*p**2 wrt p.\nAnswer: -6*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41487864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 11:54 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -359 (base 15) to base 2\nAnswer: -1011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = 0, -69*k - 27 = -4*m - 66*k. Factor -4\/3*j**5 - 4*j**m + 0*j - 4*j**4 - 4\/3*j**2 + 0.\nAnswer: -4*j**2*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*(o\/(o\/(o*o\/o**(-1\/2))))\/o)**31 assuming o is positive.\nAnswer: o**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Let f be x(-4). Let o be (-26)\/91 - (-208)\/91. Solve 0 = 5*a - u - 6, 2*u + o = -f*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 20. Let o be 4\/(-14) + -204*(-200)\/210. Suppose -192*i + o*i = 0. Give g(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 1, 22 = 2*f - 5*t. Let p be ((-2)\/(4*3))\/f. Let m = -322 + 327. Which is the smallest value? (a) -0.1 (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g + 1. Let b(j) = -24*j - 4. Let s(i) = 4*b(i) + 11*h(i). Calculate the remainder when s(-5) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - 20*((-99)\/(-176))\/(-3). Solve -n + p*q + 1 = q, -n = 4*q - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*-5*(-2)\/(-40)*4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -3*k**5\/20 - k**4\/2 + k**3\/2 + 3*k**2 + 10*k. Factor h(n).\nAnswer: -3*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 10*g**2 + 14*g + 13. Let i be d(8). Let n(u) = -2*u - 4. Let y(s) = s**2 - 5*s - 11. Give i*y(m) + 8*n(m).\nAnswer: -3*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4429146451 to the power of 1\/3, to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 0*u + 8*u - 8 + 1. Let z be v(2). Let g(k) = -k**2 + 10*k - 8. Determine g(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240974096?\nAnswer: 2, 11, 179, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10429 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 + z**4 - 3*z**4)*(-2*z + 11*z + z).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1780\/793977 or 0?\nAnswer: -1780\/793977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 991940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 + 5*m**4\/24 - m**3\/2 - 10*m**2. Suppose -w - 3*w + 20 = 0. Let l(z) = z**2 + 9*z - 5. What is w*u(c) - 3*l(c)?\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**3 + 21*y**4 - 2*y**4 - y - 196 + 46*y**4 - 101 wrt y.\nAnswer: 780*y**2 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 2. Suppose 52 = -8*c + z*c. Let a = c + 62. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + (-56)\/(-12). Suppose 4*l - o = 95. Solve l = 7*x - 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:51 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 569*w - 220*w - 199*w - 383*w + 4 in the form k*w + t and give k.\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-63) + -6 + (-132)\/(-21).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4267 is divided by 100.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3, -2.\nAnswer: -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 13. Let q be h(-10). Find the third derivative of 3546*x**2 - q - 3535*x**2 - 112*x**5 + 35*x**5 wrt x.\nAnswer: -4620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (-5*(sqrt(1700) + (sqrt(1700)*-2 - sqrt(1700)) + sqrt(1700)) + 3)**2.\nAnswer: 300*sqrt(17) + 42513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 - 13*s**3 - 10*s**3 - 42*s**3.\nAnswer: -73*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 - 2466*d - 12272. Give i(-5).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(-238)*((-35)\/12)\/(-5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**6\/120 - d**5\/20 - 5*d**4\/24 + d**3 + d**2. Let u be (-4 - -1) + (-82)\/(-6)*3. Suppose 37*c - u*c = -4. Give v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + sqrt(245) + 1 - (sqrt(245) + (sqrt(245) - (-1 + sqrt(245)*2)) - sqrt(245))))**2.\nAnswer: -140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.18 + 0.58. Which is the second biggest value? (a) 0.3 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*o + 2*o. Let r = -320530 - -320658. What is the least common multiple of o and r?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4989367857455 + 17*g + 4989367857455.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/45*((-2085)\/30 - -47).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 114*p + 12 - 15 - 83*p.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-24))\/((-310)\/1984))\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 + 109. Suppose -m*g - 5*b = -142000, g - 3674 - 24726 = -3*b. Round g to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 719065 + 2007907. Let r = i - 2726973.400017. Let z = r - -1.4. What is z rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/45 and -17\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -215*m + 1363*m + 142097 - 29593 for m.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000243228 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/335? (a) -2\/9 (b) -0.3 (c) 126 (d) -3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:52 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -13, -1\/2, 4, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:52 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.89256 to 1 decimal place.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211002222212110 + -20?\nAnswer: -1211002222212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1)))\/(d\/d**6)*((d*(d*d\/d**(-1))\/d*d)\/d)\/(d*d**(-4\/3)))\/((d**(-1\/7)*d*d**(-6)*d)\/(d\/d**(-2)*d\/d**4)) assuming d is positive.\nAnswer: d**(283\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 5*t**2 + t + 7. Let w be a(-5). Let z(v) = 1 - v**3 - 5*v**w - 3*v + 0*v - 7. Let b = -49 - -45. Determine z(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145643, -291255, -436861, -582461, -728055, -873643?\nAnswer: -1019225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(76) + sqrt(76)))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + -18)*(-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*d + w - 3*w, -5*d - 18 = -3*w. Let i(h) = h**3 + 7*h**2 + 8*h + 7. Determine i(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, r: 2, d: 5}. Give prob of picking 2 m and 2 d.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhdddjsjhd. What is prob of picking 1 d and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150 and 4475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -1 + 9. Solve -2*z + t = -0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1205 and 163\/118008.\nAnswer: 142199640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-22)*s*s)\/s*s**(3\/19)*(s**(-2\/119))**6)**(-18) assuming s is positive.\nAnswer: s**(811638\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1668 minus 0?\nAnswer: 0.1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 131.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -166*h + 4670. Let t be v(28). Let k = -4 - -3. Let l be k + (1 - -1) + 1. Calculate the greatest common factor of t and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*t = -7 - 2, -2*p + 4 = 4*t. Suppose p*r - 18 - 78 = 0. Suppose -k + 36 + r = 0. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45031477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 595662350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/3)\/(n**(-20)\/n) assuming n is positive.\nAnswer: n**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5330 - c20?\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/5)\/(88\/(-55)) - 1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100\/21 - -24\/7. Which is the smallest value? (a) -5 (b) -9 (c) -3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 374. Let j be z(0). Let v = j - 371. Solve 5 = l + v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(17) + 1).\nAnswer: 8 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62443603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 5*b - 12*b)*(3*b - 3*b + b) - 7*b**2 + 3*b**2 + 10*b**2 + (2 - 4 + 3)*(2*b**2 - 3*b**2 + 4*b**2).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -95486.5 times 0.3?\nAnswer: -28645.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, 4, 87, 3 in increasing order.\nAnswer: -16, -5, 3, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12358\/9 + 12352\/9. What is the nearest to 0.2 in 0.58, p, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 + 2 - 10 + 7)*(253 - 253 - 35*j) in the form o*j + z and give o.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + m + 0*m as l*m + d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -5, -12, -21, -32, -45, -60?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**4 + 8*z**3 + 16*z**2 - 24. Factor h(y).\nAnswer: 4*y*(y + 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 141 + 5?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 - 5 = 0. Suppose 3*p + h - 69 = 0, p + 3*p = m*h + 76. Let u = 241 - 87. Calculate the highest common divisor of p and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -995, -1899, -2613, -3137, -3471, -3615, -3569?\n\"Answer: 95*r**2 - 1189*r + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1\/7 (c) 5\/4 (d) 1\/5 (e) -2\/95 (f) 0.032 (g) 62\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -855 + 854. Let h = 14.941 + 0.059. Sort -3\/4, h, w in descending order.\nAnswer: h, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from {g: 2, d: 2, n: 1, w: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from llleljejnll?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*t + 263*t - 662*t + 136*t + 144*t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.606 - 2.418. What is m rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -47)\/((-10)\/(-25)). What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788 a factor of 633936952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124241056 (base 7) to base 10.\nAnswer: -7926085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*r, -2*r - d = -6*r + 18. Solve 0 = -r*f + 2578 - 2557 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1441 + 1833 = 56*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 + 0)*(283*a**2 - 110*a**2 + 142*a**2) - 5*a**2 + 3*a**2 + 0*a**2 to l*a**2 + j + d*a and give l.\nAnswer: 1258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2147 + -15088\/7. Let r = -58\/7 - f. What is the nearest to 1\/2 in -1\/3, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y. Let u(i) = 4*i. Determine -8*d(j) + 5*u(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5901 is divided by 1442.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 12. Suppose -4*t - 5*u - 4 = 0, 0 = -4*t + q*u + u - 4. Which is bigger: 2\/215 or t?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*v = -7, -2*h + 4*v - 14 = -7*h. Let a be (-3 - -19 - -4)*(-63)\/h. What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 9. What is the units digit of r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 463, 687, 897, 1093, 1275, 1443?\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.88 - -5.18. Sort 1\/6, -5, 0, j in increasing order.\nAnswer: -5, j, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -2, -7061, 1, -3, 5 in ascending order.\nAnswer: -7061, -113, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*o - 5*q, -3*q - 20 = -o - 5. Calculate the highest common divisor of o and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 588*m**4 - 1202 wrt m?\nAnswer: 2352*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5855253 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = m + 111, -369 = 3*m + m - 5*p. Suppose -287 = -2*u + 63. Let o = u + m. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2. Let m(s) = 119901*s. Calculate m(b(h)).\nAnswer: -479604*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63706 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/((5\/(-10))\/(14\/(-42)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 27530030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - v + 10. Let y be p(0). Suppose -5*z = -y*z. Suppose -4*n = 5*k - 7 - 14, z = -5*n - 5. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, a: 1, v: 2}. What is prob of sequence nwv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 5 in decreasing order.\nAnswer: 9, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66*316\/(-95590))\/(4\/10*6\/6)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, 3, 4 in decreasing order.\nAnswer: 4, 3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4744 or 10.2?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + o**2 + 2*o**2)*(234*o**2 - 470*o**2 - 19*o + 232*o**2 + 2) in the form l*o**2 + u*o + w + y*o**4 + m*o**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -1. Let r(z) = 1234*z + 2. Let t be r(w). Round t to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 3*h**2 + 68*h - 422. What is i(8)?\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 4*g. Suppose g*x + 858 = 4*k, 0 = -5*k - 2*x + 68 + 1027. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 93.11343 nanometers?\nAnswer: 0.000009311343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306496\/21 - 14598. Let p be 72\/48 + 345\/(-6). Calculate the common denominator of o and p\/6 + (-153)\/204.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -2\/11, 0.5, 0.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 5*n - 5. Suppose -4*k = -5*l - 1, -3*l + 9 = k - 6*l. Give u(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4249 - -4326. Calculate the greatest common divisor of 7777 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1673630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -303 + 63. Let u = 464 + d. Calculate the highest common factor of u and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 x, and 2 u when four letters picked without replacement from xxilwwixxuxwwnxwl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 7. Let t be m(-5). Let z be ((-6)\/4)\/(((-84)\/(-32))\/7). Let x be (t\/3)\/(z\/6). Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 12. Let a(u) = 2. Calculate -4*a(w) + m(w).\nAnswer: 2*w - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 4, h: 3, u: 2}. Give prob of sequence ewhw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.42, -2\/71, 0, -5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2079 divided by -7.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3499089nm to meters.\nAnswer: 0.0000000003499089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2044 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -167\/124?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(68) - 1*sqrt(68)*1) + -2)**2 + (5 + (-1*(-1 + sqrt(2448)) - (0 + 0 + sqrt(2448))))**2.\nAnswer: -288*sqrt(17) + 9837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-893)\/(-11609))\/((-12)\/338).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 4*m**2 + m + 4. What is o(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 256*t + 786.\nAnswer: -2*(t - 3)*(t + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 75*s**2 - 71*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 97.1. Let c = 14 - n. Let s = c - -0.4. What is the nearest to 1\/4 in s, 5, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(833) + 1 + 4))**2.\nAnswer: 448*sqrt(17) + 13392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -365\/2451102 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 781 * 0.973952\nAnswer: 760.656512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**2\/j*j*j)\/j)\/j*j**(-38))\/(j**(-3\/2)\/j)**(1\/10))**(-1\/4) assuming j is positive.\nAnswer: j**(143\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13, -51 in descending order.\nAnswer: -3, -13, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/4 + 1117*k**2\/4 + 10259*k\/2 - 24970 = 0. Calculate k.\nAnswer: -22, 4, 1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 352, 2, -5218, 1, -5, 0 in ascending order.\nAnswer: -5218, -5, 0, 1, 2, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (175\/(-28) - -6) + 1251\/8*(-76)\/(-114)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/5 + 7*h**3\/5 + 53*h**2\/5 + 81*h\/5 + 36\/5.\nAnswer: -(h - 12)*(h + 1)**2*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3.4 (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*t**2 - 16\/3 - 2*t.\nAnswer: -(t + 4)*(t + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 42667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/7? (a) -0.03 (b) -0.02 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/9832 and 5\/9832?\nAnswer: 9832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/225*-9)\/(6\/10*-11)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000745583 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 9*n + 119 - 33 + 8 - 33 to the form g*n + l and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, p: 4, g: 1, z: 1}. What is prob of picking 2 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4133, -24727, -45321, -65915?\n\"Answer: -20594*x + 16461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 520*w**7\/7 + 70*w**3 - 860. What is the third derivative of d(m) wrt m?\nAnswer: 62400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4878 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691264 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(66) - sqrt(66)) + -4*sqrt(66)*-2 + sqrt(66))\/((sqrt(18) + 2*sqrt(2592))\/(sqrt(12) - sqrt(108))).\nAnswer: -4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 820537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/11737 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -318, -353, -298, -135, 154?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 2140. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.10331 rounded to one dp?\nAnswer: 49.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268042905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 560 = 232. Let b = l - 96. What is the closest to b in 1\/6, -5, -1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190292 divided by 226\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198*l**3*v - 2*l**2*v**2 - 103*l + 2*v**2 wrt l?\nAnswer: 1188*l*v - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*w = 35, -3*x = -0*w + 5*w + 10. Suppose -3*v = 3*v - 18. Solve -x*l + 0*f - 5*f = -15, l = -4*f - v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*k + 92*k + 270. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(630))\/(sqrt(160) + 2*sqrt(160) + sqrt(160) + sqrt(160) + sqrt(160)))\/(sqrt(99)\/((sqrt(77) + -1*sqrt(77) + sqrt(77))\/sqrt(7))*-2) + 3.\nAnswer: sqrt(7)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3160 and 127\/7110.\nAnswer: 28440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5378, 5383, 5388, 5393, 5398, 5403?\n\"Answer: 5*b + 5373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 1)*(-15*i + 12*i + 11*i) + 4 - 4 - i to the form j + g*i and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (54 - 30) + -38?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2*b**2 + 0*b + 0*b) - b**2 + 0*b**2 + 0*b**2 + (b**2 + 0*b**2 + 0*b**2)*(-4 - 1 + 1).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101100120222211 + 111?\nAnswer: -1101100120222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-18 - -11)) + 5 - (2 + 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 14*o + 89. Let u(p) = -p**3 - 11*p**2 - 7*p + 5. What is u(o)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 19?\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.17 (b) -470 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2478 - 512 = -2*j. What is the third derivative of -1292*d**2 - 4*d**5 + 33*d**5 + j*d**2 + 11*d**5 wrt d?\nAnswer: 2400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*(l\/((l*l**(-7\/6))\/l))\/l)))\/(l\/(l*l*(l**(-5\/4)*l*l*l)\/l)*l))\/(l**(3\/2)\/((l*(l*(l\/(l*l**(-8)))\/l)\/l)\/l)) assuming l is positive.\nAnswer: l**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 + 711*o - 5445. Give w(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szfoqyyfzfqy. Give prob of sequence yoqy.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 88548.\nAnswer: 885480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + -12 - (-5 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100010111 - 111101000110?\nAnswer: -1110001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*(1 + (1*sqrt(325) - sqrt(325))*-1) - ((sqrt(325) + -2)*-3 + sqrt(325) + sqrt(325)*-2 + -2)))**2.\nAnswer: -120*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11456328 divided by -6.\nAnswer: -1909388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b - 19*b - 17 - 19 + 45*b - 14*b.\nAnswer: -4*b - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 961 + -953. Solve -o = -1, f*o = m + 3*o + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46751 is divided by 46722?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 35500.\nAnswer: 106500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {c: 7, i: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48.2 and -205889427.\nAnswer: -205889475.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -639 (b) -77 (c) -5 (d) -263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 4*h - 4*g, -2*h + 0*g = g - 227. Suppose -r = -2*b + 80, -5*b - r + 98 = -h. Let z = b + -38. What is the remainder when 28 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2.7, 0.1, 5, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112143 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*b**2 - 67*b**3 + 282*b**2 - 94*b**2 + b**3.\nAnswer: -66*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f + 13. Let t(u) = -161*u - 210. Let b(i) = 98*q(i) + 6*t(i). Let k be b(-1). Solve -l = 4*j - 13, k = l + 2*j - 2 - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -38. Suppose -4*p - 2 - 8 = u, w*u = 4*p + 18. Solve -2*j = u*q + 3*q - 2, -5*j + 3*q = 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42684060 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 21*t - 16*t + 137, -4*a + 127 = 5*t. Solve -31*w + a*w = 12 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*d + 374 + 12*d**4 + 33*d**2 - 10*d**4 - 11*d wrt d.\nAnswer: 8*d**3 + 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 50049 = 59*t. Calculate the least common multiple of t and 581.\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*r = 2*r + 151, -2*r - 38 = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16469725?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Solve -3*l + y*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 - 29*c**2 + 22*c - 6. Let p be t(9). Calculate the highest common divisor of p and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(-55)\/44*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41224150*k**3*p**4 + k**3*p**2 - k**3*p + 5830658*k**3 wrt p.\nAnswer: 494689800*k**3*p**2 + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 14*o + 20. Let c be s(-15). Let q be (3*-1)\/(c\/5). Are q and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 6. Let w be 25\/15 - x\/3. Solve 5*q - w = -2*o - 5, 5*o - 2 = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14)\/(64\/(-96)*(-72)\/(-16)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + x**2 + x**2 + 5 + 0*x as r*x + m + u*x**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 224 + -182. Which is the nearest to 0? (a) 0.2 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 2 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.67204 centuries to years.\nAnswer: 167.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Let k be 4\/(-8)*(-3 - 17). Suppose 0 = -2*s - 30 + k. Which is bigger: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 85*a - 186*a + 92*a - 6*a + 2*a + 2*a + 0*a + 4*a - 3*a + (-1 + 1 + 1)*(2*a - a - 3*a) in the form n + h*a and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/8342 - -156396\/45881. Let n be 9\/(-6)*2\/(-8244). Let w = 14942\/687 + n. Find the common denominator of p and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -59, -88, -139, -218, -331?\n\"Answer: -l**3 - 2*l**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.4, 1\/6, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/(-1242))\/(((-3)\/9)\/(12 + -9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17\/191, 1, -123\/103?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 55\/(-50) + 0 + 1. Let w = -0.4718 + 0.0718. Sort w, j, 0.1, 5 in decreasing order.\nAnswer: 5, 0.1, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = -4. Suppose 0 = -8*b + 5*b + h. Is b less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -4\/5, -1.1, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2. Suppose 0 = -5*s + 4*k + 8, -5*k = 13 - 3. Let l(q) be the third derivative of -q**2 + s + 0*q**4 + 0*q**3 - 1\/30*q**5 + 0*q. What is h(l(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2821192 - 2?\nAnswer: -2821194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*20\/210.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 16*u**2 - 3*u - 10. Let z be m(5). Suppose 4*r - z = -r. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 42*q + 144 = 0. Let p = q + -35. Let d be 3\/(p - 4) + (930001 - 0). What is d rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 7*h - 6. Let b be j(-5). Suppose 4*a - 4*o = -8, 0 = -o + 2*o - b. Solve i + i = a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2945 + 2941. Suppose -r - 9 = -4*k, -4*r - 5*k - 10 = -r. What is the fourth smallest value in 3\/4, u, 0, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 52 = -228. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 46082432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - ((-197219)\/10 - 7\/70)?\nAnswer: 109, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159854?\nAnswer: 2, 257, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2401*k**2 - 1940*k + 2 wrt k?\nAnswer: -4802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 39820*p + 1986000.\nAnswer: 2*(p + 50)*(p + 19860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 535995 divided by -5\nAnswer: -107199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from ddddldllgllgddggllg.\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/6 - 49085*f\/6 - 98162\/3 = 0 for f.\nAnswer: -49081, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645347996?\nAnswer: 2, 19, 193, 43997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xar when three letters picked without replacement from rxggrraxargragrxxr?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 185*l + 2*l**2 + 180*l + 9*l**2 + 11 - 7*l**2 + l**2. Suppose 0*c + 6 = -c. Let h be m(c). Put -5, h, 2 in ascending order.\nAnswer: -5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*u + 59 + 261, 2*u = 2*g + 144. What is the remainder when u is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/45*3*(-13420)\/(-671)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 15. Suppose -g = w*g + 50. Is (-2285)\/g*(3 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, -1\/11, 0?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*-2 + sqrt(68))\/(sqrt(12)\/(sqrt(3)*1 + sqrt(3)))*-3 - (-2*-1*sqrt(2057) + -6*(sqrt(2057) - 2*sqrt(2057))).\nAnswer: -106*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(6\/(-72)*15)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-49)*(-4)\/(-8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335540581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45850, 45207, 44132, 42625, 40686, 38315?\nAnswer: 35512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67.87 - 19.87. What is the nearest to -2 in 2, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -248213, -248204, -248205, -248222, -248261, -248328?\n\"Answer: -b**3 + b**2 + 13*b - 248226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-5))\/((-24)\/(-120)). Let n be 13 + x + 2 + -9. Suppose 4*l + 34 = 3*y, l + n = 2*y - 16. Calculate the highest common divisor of 84 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255461777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*d*f + d*g - d + 2*f*g**2 - 5*f*g + 2*f wrt g.\nAnswer: d + 4*f*g - 5*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08983, -1\/47, 2?\nAnswer: -0.08983","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -2122?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/4 + 36*x. Let c(k) = 12*k**2. Determine c(o(z)).\nAnswer: 108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-6) + (7 - (-80)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/3 and 13\/3899209?\nAnswer: 11697627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21752555 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 425, -1\/3, -1 in increasing order.\nAnswer: -5, -1, -1\/3, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 125 + 10*a - 7*a - 8*a + 9*a. Let m be y(-30). Sort 1, m, -4 in ascending order.\nAnswer: -4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31945*d**3 + 15971*d**3 + 460*d + 521*d + 517*d - 1498*d + 15976*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40624*22.\nAnswer: -893728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -1)*(-3)\/(-3). Suppose -b - v - 2*v - 3 = 0, u*b + 2*v = -2. What is the third smallest value in -3, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -795*h + 2702. Let c(q) = -3*q. Calculate c(f(y)).\nAnswer: 2385*y - 8106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + z - 3 + 6 + 35*z**2. Let i be d(-2). Suppose -4*r + h + i + 73 = 0, 2*r = 5*h + 96. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2180 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 + 10*l**2 - 35*l**2 + 11*l**2. Let u(j) = 53*j**2 - 10*j. Give u(d(z)).\nAnswer: 4293*z**4 + 90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 925*j - 928*j - 20, 4*a = j - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 726419*d + 726421*d - 26, 9*t = -2*d - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4511 (base 10) to base 3\nAnswer: 20012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -3. Let r = -1 + 5. What is the second derivative of s - s + r*s - j*s - s**5 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2*y - 8*g**2 - 2*g*y + 181*y with respect to g.\nAnswer: -6*g*y - 16*g - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*o - 4, o - 2*i = -i + 5. Let b be (4\/5)\/(o\/(-15)). Let a(r) = r**3 + 6*r**2 - r - 4. Give a(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4\/9)*w*w**(-4\/3)\/w)**(-7)\/((((w\/w**7)\/w*w*w)\/((w\/((w**(-2\/7)\/w)\/w))\/w))\/(w**7*w**(-3\/5))) assuming w is positive.\nAnswer: w**(4066\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2450 + 46536\/19. Let i = 88\/171 + s. Let n be (-2)\/(-3)*(-27)\/(-45). Which is the closest to n? (a) 1\/4 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97748 and 439866?\nAnswer: 879732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(243) + 0)**2 - (-1 + 2*sqrt(243))) + 4.\nAnswer: -72*sqrt(3) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 11909125.\nAnswer: 4\/11909125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 - -154. Let f = -0.55 + 0.15. Sort j, -1\/6, -3, f in increasing order.\nAnswer: j, -3, f, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121471 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 0*t + 162 + 15*t - 17*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -437166 (base 8) to base 5.\nAnswer: -14201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 647842 and 1313?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 527 = -350 - 309 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 + 261. Let i = p + -579\/7. Let v = 0.05 + 0.35. Which is the closest to 0? (a) i (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p + 7. Let g be a(-2). Let t = g - -79. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 7. Let t = 7 + f. Suppose -4*c + 3*s = -21, -c + 4*s = 2*c - 21. Put c, 4, t in increasing order.\nAnswer: t, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09914775 minus -50.97?\nAnswer: 51.06914775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*b - 10 = 3*a, -4*b + 20 = 2*a. Let r = 6 + a. Suppose -2*y + 109 + 83 = 0. What is the highest common divisor of r and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*i - 3)*(-1368*i - 344 + 344).\nAnswer: 2736*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/15)\/(-3))\/(22\/990).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1152 and 8712?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 321 and 1983117.\nAnswer: 212193519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397731 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjbxzxzppxpbpx. What is prob of sequence zbxp?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, and 2 e when four letters picked without replacement from {k: 2, a: 1, o: 4, e: 6}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 = 0, 3*n + 19 = -n + r. Let v(u) be the third derivative of -u**6\/120 - u**5\/15 + u**4\/24 + u**3\/2 + 3*u**2. Let o be v(n). Is -6 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 351177225 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2, -8, -5 in descending order.\nAnswer: 2, -5, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 443, 868, 1281, 1676, 2047?\n\"Answer: -z**3 + 432*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34398793.\nAnswer: 11, 13, 240551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffyfffyfyfyfyffyy.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/18 and -121\/2365030.\nAnswer: 21285270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by -1*(-1)\/1*(34 - 20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5445)\/110 + 49)*(-24)\/(-34)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 21 = 32*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**2 + 2*m + 1. Let c = 177 + -178. Give j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1430683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2 - 2)*(s - s + 2*s**2) + s**3 + 0*s**3 - 2*s**3 + (-9*s + 9*s + 5*s**3)*(-3 - 2 + 4).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 53.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*k + 4*v - 24 = -172*k, v = -4*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i. Let g be o(0). Let l(v) = 3*v + 106. Let f be l(-34). Suppose 3*c - y + 5*y - 196 = g, -f*y = -c + 76. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27, -48, -67, -84, -99, -112?\n\"Answer: j**2 - 24*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94082 is divided by 94073.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + 5 - (-13 + 52 + -39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j**2 - 11*j - 3. Let w be c(4). Let i be (12*w\/20)\/((-2)\/10). What is the remainder when 44 is divided by (-30)\/(-2*i\/(-3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/811008 and 89\/56320?\nAnswer: 4055040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3 * -0.056243.\nAnswer: -0.1856019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6194 and 7.\nAnswer: 6194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*p - 47*p - 424359 = 0. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -2 + 2 + 23. Let j = 23 + -7. What is the greatest common divisor of d and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2652, 2442, 15276, 35844, 64140?\nAnswer: 100158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*t = -45, 16*o + t = 20*o - 48. Calculate the greatest common divisor of o and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -381.3*-0.79\nAnswer: 301.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*g = 3*q + 9, -4*g - 12 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5*m + m - 5*m)*(3 - 3 + 2*m) - 2*m**2 - 5*m**2 + 2*m**2)*(-1 - 4 + 0)*(3 - 3 + 2*m) to the form r*m**3 + z + k*m + j*m**2 and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -983090 divided by 10\nAnswer: -98309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 7*i**2 - i + 4. Let t be n(7). Let c be -2*t\/12*6. Let f = 11 + -8. Is c bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 30 - 4 + 0*g**2 - 17 + g**2. Suppose 0 = o - 4*r - 10, 3*o = 6*o - 4*r - 14. Let k(z) = 2*z**o + 0*z**2 - 4*z**2. What is k(j(t))?\nAnswer: -2*t**4 - 36*t**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2645)\/644)\/(-12*12\/21) and -37\/27.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 72 - 20. Suppose -2 = -3*w - 5*y, -4*w + 7*y - 4*y + 51 = 0. Solve -k = 2*m - w*l + 4*l, l - 4 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25 - ((-320)\/(-48))\/10*(-30)\/4. Solve l = 204*k - 214*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (-5)\/(360\/(-344763)) - (-3)\/(-8).\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -109*k**6\/40 + k**5\/30 + 5*k**4\/2 + 4*k**2. What is the third derivative of r(y) wrt y?\nAnswer: -1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -16. Let w(z) = z - 2. What is w(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(119) + sqrt(119)*-2)*5)\/(sqrt(35)\/sqrt(5)*1).\nAnswer: 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 11*u**2 + 6*u - 6. Let q be j(9). Let f be 20\/((-1)\/(-25*q)). Suppose -2*s - f = 3*s. Round s to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - x + 9*x)*(x**2 - x**2 + 2*x**3) + 2*x**4 + 5*x**4 - 4*x**4.\nAnswer: 29*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2747?\nAnswer: 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f + 2. Suppose -j + 2*j - 4 = 0. Let r(a) = -4 + 2 + j + 5*a. Calculate 3*k(c) - 2*r(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x + 25. Suppose 2*u - 244 = 3*d, u + 630 - 232 = -x*d. Let f = 137 + d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13087?\nAnswer: 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60650767?\nAnswer: 41, 1479287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 9*r**2 - 10*r - 21. Calculate b(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*h**2*o - 1102*h*o**2 - 2*o**2 + o - 2275 wrt h?\nAnswer: -42*h*o - 1102*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 1152480560.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2319*o + 2319*o - 1586643*o**2.\nAnswer: -1586643*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1318, 2582, 3846, 5110, 6374, 7638?\n\"Answer: 1264*a + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1 (c) 0.7 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -4163 in decreasing order.\nAnswer: 5, -3, -4163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248311 is divided by 726?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 17. Suppose -2*k - 7 = j*f, -4*f - 4 + 3 = k. Suppose 8 = -5*n - 4*z, 3*n = 4*z + 9 - f. Solve n*c = -2*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112948\/437 at most as big as -258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*t, 2*l - 3*t + 19 = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 + 3 - 1 - 10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 0.33. Let a = n - -0.83. What is a rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -230759*a**5*b - 202*a**4 + 4141696*a**2*b - 5*b wrt a?\nAnswer: -13845540*a**2*b - 4848*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/9, -0.03 in decreasing order.\nAnswer: 1\/3, 2\/9, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -27 + -1 + (-45)\/(-15). Let n(q) = -q**3 - 25*q**2 - 5*q - 61. Is n(u) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/2 - -5. What is the biggest value in 0.1, v, 0, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, e: 3, a: 5}. Give prob of sequence aaeu.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*o = 3*t - 453, -5*t + 755 = o. What are the prime factors of t?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 885 and 9381?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-188)\/8)\/(6\/(-12)). Is g < 265\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2296414116.6 and -1.\nAnswer: 2296414115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - n - 11 = 0, 12*n + 11 = 4*o + 9*n. Suppose 3*u - g = 746, 21*g - 17*g = o*u - 504. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 3)\/((-3)\/6). Suppose 4*v + 39 = -3*b, 0 = 5*b - 14*v + 13*v + 88. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:02 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*k = 5*k - 8, -4*k = 16. Suppose -3*t = 3*z + 12, t - i = 3*t + z. What is the highest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*n**4 + 2930*n**3 - 81480*n**2 + 744800*n + 219520.\nAnswer: -5*(n - 28)**3*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w + 8*w**2 - 3*w + 9 - w**3 + 0*w. Let k be j(7). Suppose k*p - 23 = -x + 3*p, -39 = -x + 5*p. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -13, -2, -26, -304 in ascending order.\nAnswer: -304, -26, -13, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*j - 4 - 8, -3 = -t. Suppose 9*f - 4*f = j. Suppose f*b + 4*b = -4*i + 148, -b = -4*i + 163. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-13 - (-11 + 6)) + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (245 - 229) + 1 + -1 + -54.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -509 + 514. What is the third derivative of 281*x**5 + 45*x**3 - 143*x**y - 136*x**5 - x**2 wrt x?\nAnswer: 120*x**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.92 - -41.32. Is q > -475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 4551a5a5?\nAnswer: 4551a5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 980 = m. Suppose 2*u - 5*r - m = 0, 0 = -2*u - u + r + 348. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -0.4, 3, -4\/7, 175?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 - 1\/4. Let n(k) = -k**3 + 7*k**2 + 8*k - 12. Let s be n(8). Let h be 3\/s*1 + 1. Which is the third smallest value? (a) l (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let l(u) = 2*u - 3. Determine 3*h(p) - l(p).\nAnswer: -3*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 648 * 6134\nAnswer: 3974832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 393 in -14\/11, 0.05, -1\/2, -13, -9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200111222 (base 3) to base 16.\nAnswer: -34bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 79*a = -78*a + 13, a + 4 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 - 163. Suppose -3*w + 3*p = -30, 7 = -f*w + p + 23. Let b(r) = r**2 - 2. What is b(w)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 12 = d. Let f be 5\/((-525)\/(-9))*d. Let h = 2\/35 + f. Which is the closest to -2\/5? (a) 0.4 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*m + 18, -5*t + 2*m = -0*t - 17. Suppose f + t*f = 0. Let s(k) = -1 - k + f*k + 5 + 7. Give s(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -196*l + 197*l - 3, 4*z - 3*l = 15375. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 1)*(-130*w**2 + 7856*w - 7856*w)*((4 + 3*w - 4)*(-1 + 2 + 1) + 2 - 2 - 3*w - w + 3*w - w) to the form y*w + z + d*w**3 + q*w**2 and give d.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*p**3*t**3 - 7*p**3 - 11*p**2 - p*t**3 wrt t?\nAnswer: -42*p**3*t**2 - 3*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n + 2*y = -10, 2*n + y = -5. Suppose 2*k + k + 3 = n. Find the common denominator of -61\/2 and 31\/(-10) + 3 + k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*-1*(58\/(-3))\/(-29)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -18*w + 92. Let u be l(5). Suppose 0 = 2*p + 10, u*o + 24619608 - 9759633 = 5*p. What is o rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or 133?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 26*h**2 + 98*h - 121. Calculate the remainder when o(29) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.45.\nAnswer: -2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024095472 to seven dps.\nAnswer: 0.0000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 10*z - 4*z as j*z + n and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.109 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 1443*l**2 - 104*l - 290*l + 14*l + 0 wrt l?\nAnswer: -2886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 96?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22300, 22299, 22298, 22297?\nAnswer: 22296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6916*s - 48413. What is j(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4485815 - -22608507463\/5040. Find the common denominator of -163\/4620 and z.\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 542897, 2171687, 4886329, 8686817, 13573145, 19545307, 26603297?\n\"Answer: -s**3 + 542932*s**2 + s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 5*p**2 - p + 7. Let m be w(5). Let b(g) = 1 - 6*g + 0 + m*g. Let z(t) = 5*t - 1. Determine -6*b(x) - 5*z(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l = 3. Let u = 2 - 2. Suppose -o = 2, 2*a + u*o = -3*o + 2. Sort a, l, 0 in increasing order.\nAnswer: 0, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.019, 0, 17\/11.\nAnswer: 0, 0.019, 17\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**7\/1470 - s**5\/210 + 14*s**3\/3 - 2. Let p(g) be the third derivative of v(g). Factor p(b).\nAnswer: 4*b*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 2*f - 3*f)*(2 + 0 - 1)*(149*f**3 + 18*f**4 - 149*f**3).\nAnswer: -18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, y: 5, m: 6, k: 1, c: 3}. Give prob of sequence yy.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 169962*s + 2407256787.\nAnswer: 3*(s + 28327)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -91*p**3 - 16*p - 59. List the prime factors of o(-4).\nAnswer: 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13720 at least as big as 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 4*o**2 + 15. What is the tens digit of g(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64138790 + -25145\nAnswer: -64163935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -31740490 to the nearest one hundred thousand.\nAnswer: -31700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12000 and 288.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/12 - 2*a**3 - 8*a**2 - 15*a. What is the remainder when 19 is divided by k(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -277 in 1\/2, 37, -0.1, -0.229, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**6\/2 - 49*s**5\/5 + 278*s**3 - 144. Find the third derivative of y(a) wrt a.\nAnswer: 180*a**2 - 1176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(88) + (-3*(sqrt(88)*-1 + sqrt(88)) + sqrt(88) + sqrt(88) - sqrt(88))))\/(sqrt(96)\/(1*sqrt(24)\/sqrt(2))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*m**6*w**2 - 1464*m**3*w**2 + 2*m**2*w**2 - 67*m**2 - 77*w**2 wrt m.\nAnswer: -10680*m**3*w**2 - 8784*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i + 18. Suppose n - i*n = 3*j - 23, -3*n = 15. Let y(p) = -p**2 + 4*p + 3. Let q be y(4). Solve 7*z + j = q*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/20*-4)\/((-2)\/(-4)). Is 17 a factor of (3\/o)\/(-4 + 1729\/434)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/7 - 4789830*b\/7 = 0. Calculate b.\nAnswer: 0, 2394915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 445523 or 0.2?\nAnswer: 445523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v + 2817 + 3196 - 1522 + 525 = 0 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 - 45 = 0. Suppose 5*w = -17 - 3, -2*z = -w - r. Suppose -4*d = 3*j - 31 + z, -4*j + 42 = 3*d. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 296 and 2664?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29922 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 28*f**2 + 26*f + 3. What is h(-27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39a + -b?\nAnswer: 38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * 15496289.\nAnswer: 41839980.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 + h**2 + 17*h + 26. Calculate s(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 9*j - 9. Let u(n) = -n**3 + 5*n**2 - 4*n + 2. Let q be u(5). Let f(s) = -18*s - 1 - 16*s + 33*s. Determine q*f(d) + 2*m(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -14. Let h be (-15)\/(4095\/(-143)) + (-6)\/14. Which is the third smallest value? (a) -2\/3 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**6\/360 - x**5\/40 - x**3\/3 - 2. Let m(g) be the third derivative of o(g). What is the second derivative of m(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95\/6 or -16?\nAnswer: -95\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 15*a + 14. Let t be z(-14). Suppose -3*d + 9 + t = 0. Suppose 0 = -4*w - d - 9. Are -4 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -927976459*a**5*x**3 - 10*a**2*x + 28032363*a*x**3 wrt a?\nAnswer: -55678587540*a**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58428 and 2259.\nAnswer: 131988852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + (1 + 10 - -3). Solve -5*y - 20 = -5*f, 7 + l = -f - 3*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17041, 17254, 17609, 18106, 18745, 19526, 20449?\n\"Answer: 71*h**2 + 16970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6898633 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -141*s**2 - 23*s**5 + 141*s**2 + (4*s**2 - s**5 - 4*s**2)*(-6 + 5 - 10) + 3*s**5 - 7*s**5 + 2*s**5.\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*p = -13*p + 40*p + 603 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 57*w = -380. Let v be 2\/(-7) - 772\/(-7). Suppose 3*y - y = v. Calculate the remainder when y is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4 + 5 - 2*t + 2*t - 2*t. Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a - 1. Calculate the remainder when q(3) is divided by (18 + -2)*(7\/(-14) - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaagsot. What is prob of picking 1 o and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 3. Let l be 1*(4\/(-34) + (-138)\/(-17)). Let n = l - 9. Give m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -30. Let n = b - 1. Calculate the remainder when 47 is divided by (-13 - 2)*n\/9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 6*x - 9. Let d be s(-2). Suppose d*n = 9*n + 836. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16875974 divided by -6\nAnswer: 8437987\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 9) + (29 - (-49 - -103))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5564 - 50*m + 5564)*(9 - 17 - 14).\nAnswer: 1100*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l - 2*d - 26, -3*l + 2*d = -22. Let n = 10 - l. Let v(u) = 3*u**3 - 41*u**2 + 27*u + 10. Calculate the remainder when v(13) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwnp when four letters picked without replacement from {w: 1, p: 5, i: 7, n: 6}.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 3. Let a be 1 + -2*7\/2. What is the tens digit of k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2957.\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150.5 + 150. Sort 2, 2\/11, 0.2, k.\nAnswer: k, 2\/11, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 11 - 118*t - 49*t - 413*t - 6 in the form l*t + i and give l.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103362 and 84.\nAnswer: 206724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 0*a - 1 - 2*a)*(-2303*a**2 + 141*a**2 + 4781*a**2) to the form r*a**2 + i*a + s + w*a**3 and give w.\nAnswer: -5238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-16)*7*8\/1470.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47578 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1253414*z**2 - 2*z + 168882.\nAnswer: 2506828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*y + 38, 2*w + 30 = 3*y - w. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*w + 67763 + 1338157 = 839*w. What is the greatest common divisor of w and 5050?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/2)\/(n*n**3*n))**10)**(-1\/12))**(12\/7) assuming n is positive.\nAnswer: n**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.62 times -523283\nAnswer: 324435.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/2489?\nAnswer: -10\/2489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-8) - 4\/32. Let m(b) = 2*b**2 + 6*b - 6. Let o be m(-5). Let g = 20 - o. Solve 0 = p + g - k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16678 is divided by 169.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223155 + 223281 = -21*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 4 (c) 0.11 (d) -962 (e) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 71. What is the remainder when 138 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/8 (b) -7 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38\/87 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/17*18\/(-54)*6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14034880 by -1754360.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -1\/2 (c) 0.01 (d) 49517\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 10*h + 5*h**2 - 17*h**2 - 4.\nAnswer: -12*h**2 - 10*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 + 7293*n**3 + 950121*n**2 + 1878375*n + 935544 = 0 for n.\nAnswer: -2293, -136, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:41 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = k + 2*n, -2*n + 8 = -k. Let p(m) be the third derivative of 5\/6*m**3 - 2*m**2 - 1\/24*m**4 + 0 + k*m. Differentiate p(f) with respect to f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*p - 136. What is the units digit of (-4)\/8 + p\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 16790*l + 4365080.\nAnswer: 5*(l - 3074)*(l - 284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8166*l**3 - 963*l**3 - 121613*l**2 - 319*l - 69 + 7084*l - 44350*l**2.\nAnswer: 3*(l - 23)*(49*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -652 - 4*q**2 - 21*q**2 + 567 + 17*q - q**3. What is the remainder when n(-26) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 33 - 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/((-3)\/(-168)*-4). Solve h*m - 2*m - q = 18, -2*q = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 11*h = 45. Suppose -8 = -h*x - 28. Let p(c) = -6 + 2*c - 5*c + 0. Let l(w) = -w - 1. What is x*l(v) + p(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + ((sqrt(175) + sqrt(175) + sqrt(175) + 1 + 3 - sqrt(175)) + sqrt(175) + 4 + 0 + sqrt(175) + sqrt(175))**2 + 2 + 3.\nAnswer: 400*sqrt(7) + 4437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j*o**2*u**3 - 25*j*u**3 - 2*j*u**2 - 3*j*u + 11*o**3*u**3 - 120*o**3 wrt u?\nAnswer: 6*j*o**2 - 150*j + 66*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -29, 30, -1219?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Let k be 0\/(-4 + z - -1). Suppose k*d + d = q - 7, 0 = -2*d - 8. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 7*d**2 + 10*d - 8. Let v be a(8). Let o be v\/4 + -5 + 13. Solve -3*q + 3 = 5*k, k - 4*q = 3*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from iiiiciiiiiiiicci?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1100936?\nAnswer: -3\/1100936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.18. Let n = 0.02 - s. Let i = n - -2.3. Do -1 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1.729902\nAnswer: 0.864951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.44 times -1213?\nAnswer: 67248.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1421528613*a**3 + 1349736249*a?\nAnswer: -8529171678*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:53 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.4763929ns in days?\nAnswer: 0.00000000000016755084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 7. Give q(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1727 divided by -11\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -431*m - 25. Let r be a(5). Let s = r - -21769\/10. Calculate the common denominator of 83\/210 and s.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 + 69*i**2 - 69*i**2 - 78*i**3.\nAnswer: -72*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (-5 - -4) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 594.491ug in grams?\nAnswer: 0.000594491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3087 + 3086.6. Put i, -6, -0.3, 0.5, -1.9 in increasing order.\nAnswer: -6, -1.9, i, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/2*30\/(-45). Sort -89, v, -1, 1, -2 in descending order.\nAnswer: 1, -1, -2, v, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:11 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/54 + 4*a**3\/9 - 28*a**2\/9 + 352*a. Factor h(l).\nAnswer: 2*(l - 2)*(l + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*t**2 - 495\/2*t - 1275.\nAnswer: 3*(t - 170)*(t + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51644.\nAnswer: 2, 12911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50613341773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*(-56)\/70\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 124867.\nAnswer: 45\/124867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - -3801?\nAnswer: 3823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from kklllkbvllbklklbk?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -52490 rounded to the nearest 1000?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/37 (b) -27 (c) -3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8320 and 1430?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66356 and 3976978.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*h + 99 = 0, -h - 11 = -y + 10. Let q = 47 + y. Does 36 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/26545 - -21234\/26545. Factor 1\/10*n**2 - t - 7\/10*n.\nAnswer: (n - 8)*(n + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5508 divided by 2754\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 170, 329, 486, 641, 794?\n\"Answer: -v**2 + 162*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26828 + 31020. What is the lowest common multiple of 9 and o?\nAnswer: 37728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211112201201 - -12?\nAnswer: 211112201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2\/21, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.708707 kilograms?\nAnswer: 9708.707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 3. Let s be 0 + (19650\/u)\/(-2). Let t = s + -1406. What is the common denominator of t and 46\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-3)\/(-9))\/(25\/(-60)*2)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5*h)*(h**4 - 2*h**2 + 2 - 2).\nAnswer: 5*h**5 - 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 + 43*c - 14. Calculate n(12).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 14547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83260 is divided by 915.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1596, -5, -4 in increasing order.\nAnswer: -1596, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2987*o**2 + 182 - 2988*o**2 - 53 to c*o + h*o**2 + s and give s.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*i + 0 - 3*i**2 + 5 + 40*i to the form c + p*i**2 + m*i and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.0000013 - -13. What is w rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 53*l**2 + 101*l + 57. Calculate j(51).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 4*m**2 + 27*m + 118. Let q be s(-8). Calculate the greatest common factor of q and 1185.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.130464km to nanometers.\nAnswer: 5130464000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.025276\nAnswer: -0.0025276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**4\/12 - d**3\/2 + d**2\/2 - d. Let r(n) = n + 6. Suppose -3*q = q + 32. Let p be r(q). Give h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 7 = -5*l, -l - f - 6 = -11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*a - 162 = 75 + 225. Let m be (-1 - -4) + 0 - 2. Put m, 0, 4, a in descending order.\nAnswer: 4, a, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 12. Let f be y(8). Suppose 2*i - 3*d + 12 = 4*i, -d = 4*i - 4. Solve -5*j + i*j + 24 = n, -4 = -f*n + 3*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 151711, -21\/10, 0.4 in increasing order.\nAnswer: -21\/10, 0.4, 151711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 44*f.\nAnswer: -4*f*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2128 + 62760 = 1209*z + 388*z - 34126 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {a: 2, n: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*z**4 + 2 - z**4 + 3 - 530*z**2 - 3*z**3 + 530*z**2 - z to u*z**2 + w*z + f + n*z**4 + q*z**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10794 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 18 = -2*r, -4*r + 3*d + d + 36 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 348*y + 0 + 3 = 350*y, 0 = w + y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 1\/4*f**4 + 32 + 0*f**2 - 2*f + f**3. Let g(n) = 4*n**3 + 10*n**2 - 7. Give -4*g(i) + 14*r(i).\nAnswer: -2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 83, 425, 1029, 1901, 3047?\n\"Answer: f**3 + 125*f**2 - 40*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 1091*u = 1094*u + 20, -4*u + 24 = -20*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 71. Let s(w) = 5*w**2 + 2*w + 1. Let z be s(-1). Suppose -z*j - 1000 = -12*j. Calculate the remainder when j is divided by m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16587010?\nAnswer: 2, 5, 11, 150791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1196)\/161 + 17 - 10.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 4:29 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1037 - -2047. List the prime factors of c.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 120. Put j, -8, -6 in decreasing order.\nAnswer: j, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 28. Calculate v(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n + 1. Let l(m) = -m**2 - 5*m + 2. Suppose -o + 25 = -6*o. Let p be l(o). What is the tens digit of y(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 108*c + 288.\nAnswer: 4*(c - 24)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.5 + 15. Let v = 0.5 + w. Let u = 88.1 - 88.2. What is the closest to u in -2\/7, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*l**5 - 202228*l**4 - 16272*l**3 + 9701312*l**2 - 25002752*l - 2353152 = 0. What is l?\nAnswer: -4596, -8, -1\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + 4*sqrt(343) + (sqrt(343) - (sqrt(343) + (3 + sqrt(343) + sqrt(343))*4 + sqrt(343))))**2.\nAnswer: 980*sqrt(7) + 8771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33234 - -33234.1. What is the closest to -0.07 in j, 5, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 48 = 4*l. Solve -4*d + 1 = 3*w, -w = -5*d + w - l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) - 32\/14. Let n(l) = 2*l**2 + 2*l + 2. Let x be n(j). Suppose 2*b + 0*b - x = 0. Solve p = b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 1, q: 4, j: 4, d: 1, u: 1}. Give prob of picking 1 d, 2 q, and 1 u.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005057508 rounded to 6 dps?\nAnswer: 0.000506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191949603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/6*-4*-2*5\/150. Let l(s) be the first derivative of -1\/5*s**3 - m*s + 27 + 3\/2*s**2. Factor l(t).\nAnswer: -3*(t - 4)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.06, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (4 + (-16 - (3 + -10)) - -7)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 517799072?\nAnswer: 517799072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 260 = 5*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6*r = 5*g - 53, -60*r - 5*r = 28811*g - 28806*g - 480 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.202?\nAnswer: 0.0202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 334275?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1393 and 2587.\nAnswer: 18109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 504, 555, 606?\n\"Answer: 51*i + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.3 - -2.3. Suppose 2*u + 3*l = -u + 6, 3*l + 34 = 5*u. Which is the third smallest value? (a) -1\/4 (b) 4 (c) m (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l - 19640 = -67*l + 5*r, -5*l + 19634 = r. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.329995104 + 13.33. What is r rounded to seven decimal places?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 0.4 (c) -202\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164\/(-16) + 10 - (-35604)\/16?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 19*o + 23 - 4*o**2 - 19*o in the form c*o + k*o**2 + i and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*r + 72. Suppose 3*c + 1 = r. Solve -c*b - 4 = -7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -12. Suppose -3 = 4*i + x*a - 9, i - 3*a - 19 = 0. Solve -s = -i*f - 8, -4*f - 4 = -2*s + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + v**3 - 3)*(-3321 + 1706 - 2718 - 4222 - 594) in the form t*v**2 + s*v + j*v**3 + l and give j.\nAnswer: -9149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -24. Suppose -6 - 8 = -2*x - 4*g, 0 = 4*x - 4*g - j. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2812 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1453788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + u, -3*q + u - 20 = -4*u. Solve 2*o + 2*o + 16 = q, -3*o - 18 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 8:36 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4075128*n**2 + 4075115*n**2 - 8150247*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2\/11 - 34379616*n - 756351576\/11.\nAnswer: 6*(n - 63029298)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.2 - -5. Let r = -20\/69 + -1\/23. What is the closest to r in w, -2, -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 895756*u**3 - 45681822*u**2 - 776581148*u - 4400598665.\nAnswer: -(u + 17)**3*(u + 895705)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(7 + 1 - 3)*(-316 + 316 - 64*n).\nAnswer: 640*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 2*g + 0*g + (-g - g + 4*g)*(0 + 4 - 3) + 0*g + 2*g - g - 25*g + 4*g - 6*g to the form r*g + i and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 3*l**2 - l**3 + 2*l**2 - l**2 - 3*l**2 as y*l**3 + s*l + z*l**2 + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**2*m)\/((m**6\/m)\/m))\/(m**0)**0)**(-6\/5) assuming m is positive.\nAnswer: m**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.6 - -0.4. Let y = 134.29 + -135. Let a = -0.69 - y. What is the smallest value in a, b, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88719 and 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 + 0*x**2 - 12*x**2 + 2*x**2.\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-64)\/160?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 19 + 5*o - 13 + 3*o**2 - 2*o**2. Let n be a(-4). Suppose i = -n*y - 1 + 44, -5*i + 8 = y. Is y equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 + 21 - 58)*(4*w + 0*w + 3*w)*(-3 + 0 + 1).\nAnswer: -658*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2376)\/528 + (-33)\/(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1052 and 1329.\nAnswer: 2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273811?\nAnswer: 101, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90492861*q**2 - 79838750.\nAnswer: -180985722*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 426965, 427021, 427077, 427133, 427189?\n\"Answer: 56*b + 426909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n + 126. Suppose 2*l + 4*l = -n. What is the nearest to -0.1 in 0.5, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 3\/4 - -1. Let l = 10.5 - 11. Let m = l + 1. What is the smallest value in v, m, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495714?\nAnswer: 2, 3, 82619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Let q = -5.3 + r. Let w = 56800 - 56797. What is the nearest to -6 in q, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 931 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from shhshhh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k - 49*k + 508 = 45*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + 97. Suppose 0 = 2*j - 358 + u. Suppose 6*p - 215 = p. Calculate the remainder when j is divided by p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*d + 70*d - 19998 - 9954. Calculate the greatest common divisor of d and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1207885 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**4\/12 - s**2. Let h(w) = -6*w - 5. Let i(l) = -7*l - 6. Let f = 12 + -18. Let y(u) = f*h(u) + 5*i(u). Determine q(y(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 704 + 2?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5381080 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96877*c**2 + 725838.\nAnswer: -193754*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -1\/24*n**4 + 0*n - 1\/10*n**6 + 0*n**5 - 1\/6*n**3 + 0 - 7*n**2. Calculate b(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43122 + 2?\nAnswer: 43124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 144 + 46 = 0. Suppose 2*u + 2*v - 20 = 0, 2*u = 5*u - v - b. What is the lowest common multiple of u and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71760445, 71760447, 71760451, 71760457, 71760465, 71760475?\n\"Answer: y**2 - y + 71760445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/6 - 10\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:34 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 112\/(-12)*3\/(-2). Let f = p + -12. Let k be (7 + 3)*3\/f. Solve -3*u + 14 = -5*z - 6, 5*z = -4*u + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 39, 64, 99, 144, 199?\n\"Answer: 5*u**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z = 1395. Sort 2, -3, z in descending order.\nAnswer: z, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 0*g - 2\/3*g**3 + 1\/6*g**4 + 0 + 4*g**2 - 1\/60*g**5 - 1\/120*g**6. Is n(-5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5. Let f(n) = -181*n - 1810. Give 5*f(k) - 1810*o(k).\nAnswer: -905*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z + 7\/15*z**6 + 0 + 1\/2*z**4 + 0*z**2 - 6\/5*z**5 + 2\/3*z**3. Factor d(q).\nAnswer: 2*q*(q - 1)**2*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 9.4. Let a(k) = -k**2 - 2*k + 5. Let l be a(-4). Let z = l - 0. Put o, -4, z in increasing order.\nAnswer: -4, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 14. Let a = 28 - y. Solve a*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(570)\/((sqrt(70)*-2)\/sqrt(7)))\/(4*(sqrt(192) - sqrt(12))))**2.\nAnswer: 19\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(2\/15)\/y)\/y))\/y**(-2\/27))\/(y**(2\/21)\/(y*y**(-2\/5)*y)) assuming y is positive.\nAnswer: y**(4201\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-13)\/r**16 assuming r is positive.\nAnswer: r**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.5 - -4.49999979. What is g rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2497\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/7 - 18196*y\/7 = 0. What is y?\nAnswer: -18196, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5381*j**4 - 628*j**2 - 10990939.\nAnswer: 21524*j**3 - 1256*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-508)\/448*-3*(5 + 16313\/(-3267)) and -157\/1848?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289775*q - 23155*q + 1161121*q.\nAnswer: 1427741*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307507280 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + 22*d**2 - 101*d - 11. Let j(b) = b**3 + 12*b**2 - 51*b - 6. Calculate -11*j(a) + 6*q(a).\nAnswer: a**3 - 45*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33082871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*g - 24 = 156, 0 = 3*v + g - 91. Suppose 2*m - 11 = 3*j, 4*j + 6 = 3*m - 11. Find the second derivative of m - 29*s**2 + v*s**2 - 3*s - 7 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 88\/15 - (-40)\/300. Let a be (140\/42)\/(2\/j). Suppose i = 3*i + a. Let b(c) = -c**3 - 6*c**2 - 5*c - 6. Give b(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9 - 7 - 7*g**2 + 0.\nAnswer: -7*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/397 + -2338\/4367. Is s >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 5:36 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (43 - (57 - 20))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 5. Let m be x(4). Let w be 1*-1 + m + -2. Suppose -y + 3*n + w = 2*n, 2*n + 42 = 4*y. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14490, -24, -536 in descending order.\nAnswer: -24, -536, -14490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*d - 0*d. Suppose 12*f - d*f - 18 = 0. Suppose -10 = 2*k - f. What is the second smallest value in k, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3771205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/1)\/(1 + 0). Calculate the smallest common multiple of 6 and 15*(a + (-6)\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 21814*v**2 - 10912*v**2 + 3*v + 17 - 10901*v**2 - 3*v**4 to the form a*v**4 + h*v + j*v**3 + l + w*v**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2 - 6 - 6*i + 8*i. Let g(y) = 1. Let f(k) = a(k) - 3*g(k). What is the remainder when 31 is divided by f(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 436576125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 64645*a**2\/2 - 64648*a + 258584.\nAnswer: (a - 129292)*(a - 2)*(a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, 1\/150, 4, -2\/5, 0.01?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 265\/3*b + 5\/3*b**2 + 260\/3 = 0.\nAnswer: -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1097\/36 + 121\/4. Which is greater: -0.028 or r?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5*u + 22 = 0. Are -11 and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (0 + -1) - 7\/7. Suppose -5*x + 0 + j = -d, -4*d = 4*x - 8. Sort 5, d, -4 in descending order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 11*t**2 + t + 19. Let i be x(-11). Let b(q) = -i*q + 5*q + 12*q. Let r(v) = 2*v. What is b(r(s))?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*m + 390, 173 - 23 = 2*i + 5*m. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + 13. Calculate w(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 20 = -46*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.63 (b) 16017 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y = 3*u - 29*y + 54, -62 = 2*u + 3*y. Let z(p) = p**2 + 14*p - 177. Calculate z(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*m**2 + 438*m**2 + 183*m**2.\nAnswer: 479*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - k - 1. Let x(y) = 2*y**3 - 4*y**2 + 8*y + 7. Let z be x(4). Let o(w) = -z*w - 95*w - 100*w + 299*w. Calculate -o(i) + t(i).\nAnswer: 3*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 679*w**3 - 493 with respect to w.\nAnswer: 2037*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 0 - 1)*8. Let r be 2 + 10 - 8\/(-2). Let a = 19 - r. Solve -a*v + 0*v = 4*z + o, 30 = 5*v - 2*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*f - 68 = 0, 0 = 2*f - 7*f + 25. Calculate the highest common divisor of q and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 5*l**2 - 2*l - 230. Give w(0).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**3 - 9*q**2 - 9*q + 5. Let l = 11 - 7. Let s(h) = 3*h**3 - 4*h**2 - 4*h + 2. Let k(z) = l*t(z) - 9*s(z). Differentiate k(p) wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {g: 8, i: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/11)\/v)*(v\/(v*v**(-5)*v))\/v*(v**(-16))**(-15))**(2\/149) assuming v is positive.\nAnswer: v**(5386\/1639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + v**3 - v**3)*(-2073*v + 3439*v + 3711*v - v**2).\nAnswer: v**5 - 5077*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010111 - 0?\nAnswer: 1000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 10*c - 12. Calculate j(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1038 + -666. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**4\/12 + t**3\/6 + t**2 - t. Let l be v(2). Suppose 3*x + 12 = -l*x, 2*z - 799980 = -5*x. Round z to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.1, 49031\/4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 712145?\nAnswer: 712141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -6. Suppose 0 = -s + 2 - 3, -d + s = -i. Let w = -15 + d. Calculate the greatest common factor of 15 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*f - 32, -q + 4*f - 4 - 4 = 0. Let y be (2\/q)\/((-14)\/(-168)). Solve -y*o = 3*c - 12, -3*c + 7 = 2*o - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42091315 plus 0.0271?\nAnswer: -42091314.9729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.03 (b) 2\/5 (c) 2110 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13696*i - 1 + 672*i + 1 to c*i + x and give c.\nAnswer: -13024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**4 + 3*p + 4*p - 2*p**4 + (-3*p + 2*p + 2*p)*(2*p**3 + 3*p**3 - p**3) + 0*p**4 - 5*p**4 + 6*p**4.\nAnswer: 7*p**4 + 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/(-4))\/(4\/(-24)). Let f = 73 - q. Let u = -3 - -85. What is the remainder when u is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 27*b**2 + 951*b + 20. Let w be i(6). Calculate the highest common factor of w and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 7*s + 3*s - s + 5*s - 2*s + 2*s + 0*s - 5*s - 2*s + 1 - 1 + (-s + 4*s - s)*(1 + 0 + 1) in the form g*s + t and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.1275\nAnswer: -0.06375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/12 - 2*x**3\/3 - 2*x**2 + x. Let o be (7 - 2) + (-6)\/2. Let y be (7 - 6)*10\/o. Give h(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/570 and -67\/2185.\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*w**6*z + 14*w**6 - 9*w**3 - 208*w**2*z - 4*w**2 + 2*z wrt w.\nAnswer: -960*w**3*z + 1680*w**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 3:41 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 784062 divided by -258\nAnswer: -3039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, k: 3, s: 8, o: 2, v: 5}. Give prob of sequence kssd.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3274 - 2160572358.\nAnswer: -2160572357.6726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-65))\/((-2)\/(-30))*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 2, -0.09, -2, 2362?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4546*j - 4524*j = 440 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*a - 2*w + 50 + 62, 77*a + w - 20 = 80*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 486520 + 1330*p - 486520 + 1838*p**2 wrt p.\nAnswer: 3676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 10, -12.9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 5 (c) -5 (d) -0.5 (e) -0.3 (f) 0.0303\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102.3 - -102.30554. What is q rounded to four dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkl when three letters picked without replacement from klklkkkllkkkkkkkkk?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1040207 and 3801.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.9 in -10, -0.1, 4, -6, 4\/5, 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2\/5 - 13587*v\/5 - 94962\/5 = 0.\nAnswer: -4522, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 62 = c - 2*n, -3*n - 124 = -2*c. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.394 - -0.006. Put 0.1, 2\/57, v in descending order.\nAnswer: v, 0.1, 2\/57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 22. Let b be c(5). Let t(l) = 10*l - l**2 + 12 + 13 + b*l. Is t(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 556.5568 tonnes?\nAnswer: 556556800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -0.4.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 24*c + 14. What are the prime factors of l(-6)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**6 + 5*l**4 - 309*l**2.\nAnswer: -120*l**3 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*t + 4*t + 3*u, 0 = -2*t + u + 16. Solve 4*p - t = 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -4 - 4) + 3 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13410532 (base 6) in base 3?\nAnswer: 211222201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.88 + -1.08. Let v = 85 + -597\/7. What is the third smallest value in k, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.29563906 and -618?\nAnswer: 618.29563906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 13*a + 6. What is n(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*l**5 - 14*l**5 + 18*l**5 + (18*l + 4 - 4)*(l**4 - l**4 - 2*l**4) + l**5 - l**5 + 3*l**5 - 1 - 2*l**5 + 1.\nAnswer: -20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u - 33 = 0. Let x(z) = 3*z + 27. Let l be x(u). Is 30 a factor of l\/3 + 0 - -92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4 = 0, 6*w - 5*w - 2*d + 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.78 - 1.709. Let b = -0.111 + r. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48085, -52371, -56657?\nAnswer: -60943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 + 166*i**2 + 928*i - 4224 = 0. Calculate i.\nAnswer: -8, 3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/8 - 7*i**2. Let o be y(-4). Let w = 1392 + -1401. Put o, w, 3 in descending order.\nAnswer: 3, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4214 + 219187\/52. Find the common denominator of 46\/1729 and y.\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1383 or 1382?\nAnswer: 1383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26119, -52244, -78369?\nAnswer: -104494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 2. Let u(a) = 6*a + 3. Suppose 110*h = 17*h + 279. Let d(t) = -t - 1. Determine g*u(j) + h*d(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1329 = -6*l + 6813. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2811, -3017, -3407, -3981, -4739, -5681, -6807?\nAnswer: -8117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/18 and -67\/457551?\nAnswer: 915102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttttototoooot. What is prob of picking 3 o?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23207 - -23209.7987. Let u = b - 2.8. Round u to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-5)\/3)\/((-19)\/(-57)). Let p be 3\/(-72)*-28 + c\/(-8). What is the closest to 0.1 in 5, 3\/8, p?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59525\/19048)\/(5*-10).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 849*o**3*t**2 - 11*o**2*t**2 + 7*o*t wrt o.\nAnswer: 5094*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 106579.\nAnswer: 4\/106579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231\/8, -0.4, -51, 5\/4 in decreasing order.\nAnswer: 231\/8, 5\/4, -0.4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -827 at most as big as -53540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*m + 9. Let c(q) = -13*q - 1. What is the tens digit of c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o**3 - 11*o**3 + 1 - o**2 + 3*o**2 + 2*o - 3*o to the form a*o**3 + h*o + g*o**2 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Let y(f) = 2*f - 4. Let t be y(5). Find the third derivative of 3*u - 3*u - c*u**2 - u**t wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -68.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041607 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:21 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 - 7*j - 1. Let w(l) = l**2 - 1. Calculate the remainder when q(-5) is divided by w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4304912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 1123\nAnswer: -561.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.029917 - -0.229917. Let t be 4 + 6\/(-3) + 1. What is the nearest to -1\/3 in 9, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/6720 + 36371\/(-1184))\/(3\/2*-1).\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -566?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104976907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mgmm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -30*r - 117. Determine g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 348, 696, 1042, 1386, 1728?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*-1*(sqrt(3) + sqrt(15)\/(sqrt(5) + sqrt(5) + sqrt(5) + (sqrt(25)\/sqrt(5) - sqrt(5)) + sqrt(5)) - sqrt(192)*2)**2*3*-4.\nAnswer: 31337\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-4)\/(-24))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164)\/615*10\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/5)\/(-2))\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5\/7 - 9*g**4\/7 - 4*g**3\/7 = 0. What is g?\nAnswer: -1, -4\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -2 - (4 - -11) - 83) + 18?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-4)\/14 - 1. Let b = -34 + 35. What is the closest to -2\/5 in 2\/5, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqsqqqsqqq. What is prob of sequence sqs?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001031634 rounded to seven decimal places?\nAnswer: -0.0001032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 17}. Give prob of sequence oojo.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -223 - -338. Suppose 2*j = l - 45. Let b = 543 + -534. Calculate the remainder when j is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -330*g + 664. What is j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -308369, -616768, -925167?\n\"Answer: -308399*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-6 - (-3 + -1)). Find the third derivative of 0*l**3 - 9*l**3 + 2*l**3 - l**3 + h*l**2 wrt l.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + -0.1. Let g = w + 6.2. Let f = -3 - 0. What is the third smallest value in g, f, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -15*v + 0*v**5 + 0 + 0*v**6 + 37\/6*v**3 - 1\/42*v**7 + 0*v**2 + 19\/12*v**4. What is the second derivative of t(f) wrt f?\nAnswer: -20*f**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 9*k - 5. Let l be r(-5). Let v = -4 + l. What is the remainder when (-2 - -3)\/((-1)\/(-21)) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25\/77 - 2\/11. Let k = -2.6 - -0.5. Let o = -2 - k. Put o, -5, y in increasing order.\nAnswer: -5, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 6:21 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -951 - -986. List the prime factors of g*(-770)\/(-50) + 1*-1.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 61 (b) -3\/4 (c) 5 (d) 2\/15 (e) -157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 15*x**2 - 15*x + 54. Let s(n) = -n**3 - 3*n**2 + 7*n - 1. Let c be s(-5). Let t be v(c). What is the greatest common divisor of t and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159983488, 159983486, 159983484, 159983482?\nAnswer: 159983480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/7 + w**3 + 3*w**2\/7 - 23*w\/7 + 2.\nAnswer: -(w - 7)*(w - 1)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 1. Let x(j) = 4*j - 2. Calculate the remainder when s is divided by x(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 645.08057814 + -645.08. What is t rounded to five decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156716491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -286\/198933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(40\/536)*(-5)\/(-5)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 14*u + 5 + 9*u + 5*u. Let r(w) be the third derivative of w**3\/6 - w**2 - 50*w. Let p(z) = -4*r(z) + y(z). Differentiate p(h) wrt h.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 17*q - 116 = s, 3*q = -71*s + 74*s - 84 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 453524 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 10*u**2 - 7*u - 3. Let q be w(-11). Let p be q\/(-45) - 1\/(-3). Let f = 42 + p. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/54)\/((114\/(-36))\/19)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3333300 - -1111?\nAnswer: 10001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 - 30*l**3 + l**2 + 16*l - 1 + 36*l**3 in the form u*l + y*l**3 + h + p*l**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**3 + 15*z**2 - 45*z + 25 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -121*b**2 - 355*b + 21. Calculate d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {t: 3, o: 9, r: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13983170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 35922576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2168070? (a) 5 (b) 2 (c) -3\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(1900))**2.\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/((-49)\/(-147)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10099 + (-15 + 48 - 14).\nAnswer: 2, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(12 - 5) + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/9, 1.9, -2, 0.096 in decreasing order.\nAnswer: 1.9, 0.096, -4\/9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + -1 - (3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -102 and 1.17.\nAnswer: -119.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 20*z = -8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 2, n: 1, u: 1}. What is prob of picking 1 c, 1 m, and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168774*d**2*j*y**2 + 2*d**2*y**2 - 515*d**2 + 2*d*y**2 - 3*j*y**2 - 3*y**2 - 17 with respect to j.\nAnswer: -168774*d**2*y**2 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k**(-5)*k*((k\/(k*k**2*k))\/k*k*k*k)**(3\/37))\/((k**(1\/2))**(-10)*(((k\/k**(-7))\/k)\/k)\/k**3) assuming k is positive.\nAnswer: k**(-77\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52891916741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/40635448 and -33\/476.\nAnswer: 690802616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*(1 + 1). Let m = -104.7 + 104.2. Which is the nearest to 2\/5? (a) -0.2 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 31797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 6*i + 6459 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 - z - 1. Let w(b) = b**3 - 3*b. Let u be w(2). Let x be 1 + (-21)\/(-7) + (1 - u). Suppose 0 = x*s - 21 + 24. Calculate j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1 - 1 - k. Suppose 4*n - 4*m - 8 = 0, 5*n = -4*m - m + 10. Let p(l) = 2 - n + l. Calculate j(p(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + 52 = 26*y. Let d be (-100)\/(((-2)\/(-104))\/((-13)\/y)). What is d rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35179046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*m + 4*w, 7*w - 2*w = -15. Calculate the highest common factor of m and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 13*z - 28560000. Round z to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2252*g + 2230*g + 2237*g - 6722*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 78+-52547\nAnswer: -52469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 20874638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 1043475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-4))\/(-28 - 550\/(-22)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8225.231 centuries to years.\nAnswer: 822523.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 52 - 78 = -42 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:00 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -171693 and 10934135.\nAnswer: 10762442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/468*24\/10*(60 - 11770\/198).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 12:33 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70084 and 1617?\nAnswer: 16189404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -603141499.8788 - 32430.1212. Let r = -603173705.0000186 - v. Let g = r - 225. Round g to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31858360 * 15.\nAnswer: 477875400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71993 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 26. Let o = 0 - -8. Let z = 8 - o. What is the nearest to f in -4, -1\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, c: 7, g: 1, s: 2, v: 1}. Give prob of picking 1 y, 2 s, and 1 c.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275 - 272. Which is the second smallest value? (a) x (b) -4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 - 1497*q**3 - 2829*q**2 - 3161032*q + 97?\nAnswer: -24*q**2 - 8982*q - 5658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 369\/7 + -53. Let w be 706\/(-7) - (0 - 0). Let j = -101 - w. What is the nearest to g in 0.2, -1\/6, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*1\/(-144))\/((24\/(-2))\/180).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -6. Let q = 773\/4 + -193. Which is the second smallest value? (a) r (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 16 = 32. Let b be -1 - (-10)\/15*(u + 1). Solve 0 = 7*n - 6*n - b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368115 and 1012?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.110888\nAnswer: 0.0332664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v + 15. Suppose 0 = -r - v*w + 6, w = 2. List the prime factors of 3*(33\/9 + r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 13677?\nAnswer: 820.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 5*n**5 + 2*n**3\/3 + 11*n**2\/2 + 19. Find the second derivative of r(a) wrt a.\nAnswer: 300*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 6*n + 11*n. Let o be (8 + -6)\/(-3*1\/(-789)). Let b(w) = -o*w + 5*w**2 + 526*w. What is k(b(g))?\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-3 - -23 - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzzz when four letters picked without replacement from {j: 7, z: 9}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 23*z - 104. Let x be 9 + 4\/z + 75\/(-65). Let y(o) = 2*o + 5 + 3 - x. Let f(s) = -4*s. Determine f(y(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.29, -3, -0.5, -20, 5, 84?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 7551072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 24*o + 2 + 0.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 28953\/10751 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(567)*1 + -5 + -6*(0 + sqrt(252))**2 + 2.\nAnswer: -1516 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1277 - -644. Let i = -632.8 - s. What is the nearest to 1 in i, -4, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**(-7\/9)*(d**(2\/7))**43)\/(d\/d**(2\/9)*d*d*d*d**(-3\/8)*(d**(-1\/2))**(5\/2)) assuming d is positive.\nAnswer: d**(5009\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 2436.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 527476 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51027.\nAnswer: 3, 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2580 divided by -10\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a**2 + 9*a - 169. Let w(m) = -3*m - 14. Let c(f) = 2*f. Let b(d) = -3*c(d) + w(d). Calculate -5*b(p) - 8*h(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*o*s**2 - h**2*o*s**3 - 8*h**2*o + 6*h*o + 8*h*s**3 - o*s**3 wrt h.\nAnswer: -6*h*o*s**2 - 2*o*s**3 - 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171488 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011 - -201021?\nAnswer: 122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1912\/344731?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 6158\nAnswer: 19\/6158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-35)*(25\/(-10))\/1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hppohxhpxxoxpoh. What is prob of picking 1 h, 1 p, and 2 o?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2114557410?\nAnswer: 2, 3, 5, 7, 17, 499, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -1675*(5\/2)\/5*-14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zff. Give prob of sequence zf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-2 - 28\/(-10)). Let b be 20\/6 - z\/6. Suppose b*x - 21 = x + 3*a, -x - 17 = 5*a. What is the highest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*k**3*x**4 - k**3*x**2 + 259*k**2*x**2 + 2*k**2*x - 1459*x**4 - 6 wrt x?\nAnswer: 528*k**3*x - 35016*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-7 + (-2 - -5)). Suppose -15*s + v*s = -56. Suppose 3*n + 10 + s = 0. Let x(h) = h**3 + 7*h**2 + 4*h - 1. What is x(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 257, 988, 2187, 3854, 5989?\n\"Answer: 234*n**2 + 29*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 565605037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1068 bigger than -1069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -113, 5\/13, -0.0524?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 319 and 58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + 8) - (-140 - (-26 + -31)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*j**2 + 1 + 3*j + 32*j + 13*j - j.\nAnswer: 322*j**2 + 47*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8165)\/(-6816))\/115*27\/(12\/(-4))?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)\/f)\/f)**(2\/135) assuming f is positive.\nAnswer: f**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240701.\nAnswer: 240701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -37153937 divided by 1\nAnswer: -37153937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from xxcxxxxcxfxxfxx?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 23 - (-2 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -23*k + 41. Let b(i) = 27*i - 40. Give -5*b(o) - 6*y(o).\nAnswer: 3*o - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1 + 9*c + 0 - 14. Let j be 6*(0 + 1) + -437 + 436. Let s(f) = 14*f - 20. Let i(x) = j*s(x) - 8*r(x). Give i(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 5, i: 5, q: 5, w: 1}. What is prob of picking 2 d?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 3, l: 2, x: 5, t: 6}. Give prob of picking 2 t.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a hour in minutes?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*((sqrt(128) - (sqrt(128) + sqrt(128)*-4))**2 + sqrt(128))*1.\nAnswer: -6144 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*s - 28230 = -7638 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 80. Suppose 0 = y + 5*c - 2, d*c - 2*c = 5*y - 10. Suppose 0 = -3*w + 2*w + 3*s + 7, -2*w = -2*s - 2. What is the nearest to 0.1 in w, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 6, j: 1, n: 1, p: 2, z: 4}. Give prob of sequence wy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)*(i\/i**12)\/i assuming i is positive.\nAnswer: i**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 9 + -7 + (1 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = 5. What is the highest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -53*b**2 + 2. Let r be h(-2). Let p be 1\/1*r\/(-6). Suppose -p - 21 = -2*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(1\/((-8)\/(-28)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10 - 308*t + 263*t - 50 wrt t?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 492 = -i. Suppose 0 = 5*u + 5*r - 220, 4*r = 4*u - 93 - i. Let p = -34 + u. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 3*z**2 + 48*z - 61. Let p be a(8). Solve 89 = -2*d - p*y + 83, -d + 4 = -2*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5\/2 - 333*b**4 - 32293*b**3\/2 + 106143*b**2 - 145044*b = 0.\nAnswer: -51, 0, 2, 4, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/4*(5 + -7). Suppose -2*o + o = -c. Suppose 5*a + 15 = 0, 0 = 5*b - 0*b + o*a - 1040. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263045805 divided by 4?\nAnswer: -1263045805\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 1070\nAnswer: -9\/1070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 - 4*p. Let j(w) = -6*w**2 + 3*w. Let h(l) = 4*j(l) + 5*v(l). Let g be h(8). Solve -3*o + 0*o - 9 = g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.5 - -7.5. Let x = -21.83 + -0.17. Let b = -15 - x. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*4\/(-2). Let a(h) = 4*h**3 - 3*h**3 - 2*h**y - 5*h**2. Let b be 2\/7 - 333\/63. What is a(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1)*(-1)\/68*-289?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 3:26 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -128*w - 2533 wrt w?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 140, 533, 1180, 2081?\n\"Answer: 127*h**2 + 12*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/15006 and -13\/74538.\nAnswer: 4546818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(6\/(-36)). Solve -n - 16 = f*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:09 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 837 = 3*f, -2*b - 3*b + 1395 = f. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l**4 - 68681*l**3 - 7382885*l**2?\nAnswer: -168*l - 412086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 - 40*f\/11 + 102\/11.\nAnswer: 2*(f - 17)*(f - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*r - 26*r + 91 + 44*r - r**2 as d*r + t + h*r**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeellleeleelede. What is prob of sequence lele?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477144 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15) - 4\/30\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, 19, 85, 221, 451, 799, 1289, 1945?\n\"Answer: 4*z**3 - z**2 - 5*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5299254991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 456419200 to the nearest 1000000.\nAnswer: 456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*5*-4 - sqrt(76))*6)\/(sqrt(44)\/(sqrt(275) + sqrt(275)*3)).\nAnswer: -2520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1263289 - -1263346.9359. Let x = 0.0641 + o. What is the third smallest value in -1\/4, -5, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9699.\nAnswer: 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = s, 3*s + 15 - 18 = -3*t. Let l(z) = -3*z - 17. Let h be l(-5). Sort -3, t, h, 1 in decreasing order.\nAnswer: t, 1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzooiiiooiio. What is prob of picking 1 o and 1 i?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9.51 * 1.63\nAnswer: -15.5013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-1)*y)))**(-47)*((y*y**(-2\/5))\/y)**(2\/13) assuming y is positive.\nAnswer: y**(-4\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -17. Let k be 2\/4 + (-70)\/(-4). Let u be 2\/(r\/(k\/(-4))). Solve -4*n - u = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 378.241+-0.4\nAnswer: 377.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -75, -45, 7, 87?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 10*x + 19. Give t(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2577429 or -0.2?\nAnswer: -2577429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, and 1 r when three letters picked without replacement from {d: 2, e: 1, y: 2, w: 1, r: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1983079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2 = -d, 11*d = 8*d - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(6 + 1) - (-39)\/(-36). Which is the biggest value? (a) -0.2 (b) x (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3246*j**2. Let k(g) = -24*g**2. Give k(s(a)).\nAnswer: -252876384*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 48381 = 2*g, -51749 = -5*j + 2*g - 3400. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029022 to 4 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271 + 273. Suppose 0 = m - 3*m + 40. Let u be 6\/(-3) + m\/6. What is the smallest value in -1\/5, b, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = 4*v. Let k be (2*v)\/((-8)\/4). What is the second derivative of -5*a**2 + 15*a**2 + 3*a - 3*a**k - 10*a**2 wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1666362129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54381408.\nAnswer: 2, 3, 109, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -54*c + 1041. Calculate the lowest common multiple of y(8) and 203.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwgwgwwwwwggwcgcwgw. What is prob of sequence gc?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 1212400792?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -22*q + 15. Is 36 a factor of j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0 - 13\/30*h**6 + 0*h**2 - 1\/3*h**4 + 2*h + 0*h**3 + 0*h**5. Find the third derivative of s(c) wrt c.\nAnswer: -312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13079487*o - 13686263.\nAnswer: 13079487","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 39136224338408 + -0.5\nAnswer: 39136224338407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = -t + u, 1 = -3*t + 2*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/505288 and -19\/602?\nAnswer: 21727384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o + 2316*o = -2041*o - 141322 - 75846 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*(511\/(-35) - -15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/28)\/((-2)\/(-16)*-3)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**3 - 4 + 4)*(-3*f - 13 + 13) + 43*f + 82*f + 2*f**4 + 30*f to the form i*f + h*f**3 + y*f**2 + r*f**4 + s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2167497 is divided by 3796.\nAnswer: 3777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 267791005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.3487 litres in millilitres?\nAnswer: 9348.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*w - 570882 - 608793 = 4433*w + 7375*w for w.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 25135274.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1130.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038347119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 871126, 2.\nAnswer: 2, 65, 871126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/7 - 120464*h\/7 + 240816.\nAnswer: 4*(h - 30102)*(h - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(45\/(-3))*5*(-38)\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. What are the prime factors of (z\/1 - -8)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 41. Let p be (10\/(-6))\/(1\/(-6)). Suppose g - p = -g. What is the highest common factor of m and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y - 73. Let d(o) = -11*o**3 - 2*o**2 + 6*o - 3. Let z be d(1). Let x be m(z). Solve 0 = -5*t - x - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 186678.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -783113, -11, 4 in decreasing order.\nAnswer: 4, -11, -783113","meta":{"dup_signals":{},"source":"comparison__sort_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: What is the millions digit of 1713365584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 2*q**2 + 2*q. Suppose 5*r - 10 = -5*d, r + 0*r + 3*d = -6. Let p = r + -4. What is the smallest common multiple of l(2) and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10983.9999940958 - -10984. Round k to seven dps.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/84*-7*8\/(-56)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 6868 + 6769, 142 = -5*b - 4*v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -44*b - 920. Let p be s(-21). Let r = -7 + 13. Put r, p, -5 in decreasing order.\nAnswer: r, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 - 814610*t\/9 + 3258728.\nAnswer: -2*(t - 36)*(t + 407341)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188862309?\nAnswer: 3, 47, 137, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.3. Let y = 24 + -24. What is the biggest value in y, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -58*w - 950. Let o be x(-4). Is o greater than or equal to -718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**3 + 19*l**2 - 14*l - 3. Let f(c) = 11*c**3 + 56*c**2 - 43*c - 8. Let o(i) = -8*a(i) + 3*f(i). Suppose 468 = -57*m + 167 - 668. What is o(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r + 1. Calculate d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 5*f**2 - 5*f - 3. Let b be w(-3). Let c = 27 + -10. Let h = c + b. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 57 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100101101 + -10?\nAnswer: 1000100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 + 0*m**2)*(-4*m + 4*m - 3*m)*(3 - 18 - 1).\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -56, -85, -136, -215, -328?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -961079.44 and -1.283817?\nAnswer: 961078.156183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -20 + 15 + (-2 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21164, 59726, 123986, 213938, 329576?\nAnswer: 470894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4 - ((-259)\/(-4) - 4). Let g = k - -63. What is the highest common divisor of g and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 21 = 15*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104071234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, -48, -127, -206, -285?\n\"Answer: -79*s + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -52*g**4\/5 - 1472*g**3\/5 + 14996*g**2\/5 + 4320*g + 5184\/5 = 0.\nAnswer: -36, -1, -4\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 779 = -662. What is the lowest common multiple of 27 and r?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 + -251 - ((-15)\/5 + 2 - -9).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4788 and 4788.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k + 4176 = -46*k. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 48104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -12. Let h(y) = 2 + 4*y**2 - 3*y - 3*y**2 + 5*y**2 - 5*y**l. Let c be h(2). Solve c = -4*b - b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 6 - 27 - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 - a**3\/3 - a**2. Let c(u) = -2*u - 15. Let y be c(-9). Suppose y*i + 4 = 1. Calculate x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 7*b**2 - 2*b - 9. Let o be x(-7). Suppose 0*w + 70 = 5*w - r, -2*r = o*w - 55. Solve 2*t + w = -5*g, -5*t - 4 = 4*g - g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-341291)\/86)\/((-2)\/24). Suppose -5*m + 3*m + 47619 = 3*g, 0 = 3*g + 3*m - k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 3)*(-12 - -5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 11*x**2 + x + 6. Let i be u(11). Let v = i + 12. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37028531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3966*a**2 + 225*a - 718*a + 225*a + 268*a to i*a**2 + v + j*a and give i.\nAnswer: -3966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3283 = -85*x + 365 + 708 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:23 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 10, 0.124, 0.5, -0.2, 1\/3?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 540806.14 and -5?\nAnswer: -2704030.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 - 1486*z**3 + 266156*z**2 + 3681720*z + 6286896 = 0. What is z?\nAnswer: -11, -2, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose 0 = -2*b + 2*i + 30, 2*b = -3*b + w*i + 65. Put b, -2, 0 in decreasing order.\nAnswer: b, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 568344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.238 - -11.338. Let v = -10 + d. Let p = v - 5.1. Which is the nearest to -1\/4? (a) p (b) -0.2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -0.17173.\nAnswer: 3.09114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/36 - 1 - -2)\/(-47*41\/398889)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*n - 4*v, 4*n - 45*v + 20 = -43*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*w - 3267, -2*l = -3*l + 2*w - 3255. Let x = -1385 - l. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -746708 - -746710. Factor -8\/15 - 8\/15*a - 2\/15*a**q.\nAnswer: -2*(a + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2. Let n(y) = -5*y. Let k(w) = 10*w. Let b(t) = 3*k(t) + 7*n(t). What is s(b(c))?\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10240)\/60*(-3)\/2 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704105935 to the power of 1\/2, to the nearest integer?\nAnswer: 41281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4\/7, 2\/7, 1\/5, -1\/2 in ascending order.\nAnswer: -1\/2, -0.2, 1\/5, 2\/7, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uutumlwuuxwuuut. Give prob of picking 1 x, 1 m, 1 w, and 1 l.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*a = -25, -2*s - 5 = 3*a - 22. Suppose 0 = s*m - 15*m + 295. Let k = m - 37. What is the least common multiple of k and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 0*u + 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 7*x**2 - 20*x + 1. Let a be t(9). Is -19 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -801.27 - -326.27. Is q greater than or equal to 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*c**3 - 5*c**3 + 0*c**3)*(3 - 3 + 2) - c**3 - c**3 + 0*c**3)*(-2 - 11 + 49) as m*c + h*c**2 + y*c**3 + i and give y.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3074 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -66*f**2 + 63*f + 7. Let k(t) = -33*t**2 + 27*t + 3. Let o(g) = -7*k(g) + 3*s(g). Let n(z) = 2*z**2. What is o(n(j))?\nAnswer: 132*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/11)*x*x**(3\/5)*(x\/x**7)\/x*x*x**(2\/29)*x)**(-1\/13) assuming x is positive.\nAnswer: x**(3863\/20735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 5\/4*u**4 - 3*u - 3\/5*u**5 + 0 - u**3 + 1\/10*u**6 + 0*u**2. Factor k(v).\nAnswer: 3*v*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.15, -0.1, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/80)\/(84\/(-70))*76\/42*3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*n - 473*n + 258*n to z + b*n and give b.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 371821 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4284 and 1292.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/(68*2\/24). What is the closest to 1 in -0.3, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 26*g\/3 + 8.\nAnswer: 2*(g - 12)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 12*d**2 - 14*d - 7. Determine r(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 18*l + 20. Let r(u) = -u**2 - 6*u - 7. Suppose 0*g + 6 = -2*g - i, 3*g = 4*i - 20. Let m(y) = g*n(y) - 11*r(y). Determine m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199843883 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4856704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 182057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250 divided by -225?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*t, 4*w + 3*t - 12 = 5*w. Suppose -2*p - 4*r + 66 = 0, w*p - 4*r + 48 = 137. Calculate the remainder when p is divided by (-42 - -45)*(-11)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 + 146.7. Let v = i + 3.3. What is the third smallest value in 0.1, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 583 (c) -39 (d) 0.2 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 2 (c) -0.1 (d) 621\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43.1 + 235.9. Let w = f - 282. Let n = -379\/6 + 63. Which is the third smallest value? (a) n (b) w (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61096?\nAnswer: 2, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**5\/20 - t**4\/2 - t**3\/6 + t**2 + 3*t. List the prime factors of k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13*2)\/(344\/(-88) - -4). Suppose -8*p + u = 5*p. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 11. Let k(t) = -9*t**2 - 10*t - 9. Let x be k(-1). Is q >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/(-140)*(-2)\/(-24).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2131*j - 676*j + 2 - 665*j - 673*j. Suppose 0 = -f + 1. Is b(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.97 + 2. What is the second smallest value in 1, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157 less than -5?\nAnswer: -1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 - 19*t + 4. Suppose 6 + 16 = 2*x. Let n(d) = 5*d - 3*d**2 - 10*d - 5*d + 2. Let m(h) = x*n(h) - 6*o(h). Give m(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46033.2 - -45838.319. Let z = s - 0.119. Let u = -195.0000127 - z. What is u rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7812 - -73688.2188. Let y = 73692.967011 - u. Let m = -0.033 - y. Round m to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10960694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45666 - 7?\nAnswer: 45659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2833*l - 320*p + 325*p - 14185 = 0, -p + 9 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -979.0651 rounded to the nearest integer?\nAnswer: -979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 1724539 in descending order.\nAnswer: 1724539, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 13 = 0. Suppose a*g = 11*g. Solve -3*n - n + 8 = g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*c**2 + 71 - 71 to the form w + d*c + t*c**2 and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. What is the third derivative of -38*n**4 - 3*n**l + 76*n**4 - 46*n**4 wrt n?\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**11)**(-14\/5)*((z*z**(3\/14)*z)\/z)**46)**(-13\/8) assuming z is positive.\nAnswer: z**(-36881\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, and 1 p when three letters picked without replacement from aavfafuufufyfpfpp.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1320*(-538)\/(-26631) - 6*4.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67231945?\nAnswer: 5, 11, 809, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 13) to base 15\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*x - 125*x - 121*x - 29040 = -99*x for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18407609 to the nearest integer?\nAnswer: 4290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jaayyyyzajzayzjjy. What is prob of picking 1 y, 1 j, and 2 z?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1919298255 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2234*a + 6 = -2237*a, 0 = m - 2*a + 9 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 11 = -19. Calculate the remainder when 44 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2630982*v**4 - 13*v**3 + 1108625003*v**2.\nAnswer: -63143568*v - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87358501057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h**5 - 302*h**4 - 398*h**3 + 354*h**2 + 434*h - 52 = 0 for h.\nAnswer: -13\/2, -2, -1, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556708758 to the nearest integer?\nAnswer: 23595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.45 and -657.\nAnswer: 2266.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41352 (b) 3 (c) 5 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*l*q**3 - 2*l*q**2 + 11*l*q - 59*l + q**4 + 3*q**3 - 6*q + 6 wrt q?\nAnswer: 78*l*q - 4*l + 12*q**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136\/23 - -18314\/3105. Let o = -120 + 121. Which is bigger: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.7, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/54 and 23?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -17*f + 12624. Suppose 7*y - 12*y - 2*p + f = 0, -4*y + 2535 = 5*p. What is y rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s - 5. Let r(u) = -5*u + 6. Let c(m) = -6*j(m) - 5*r(m). Let g(i) = 7*i - 1. Let l be (6\/4)\/(2\/24). Suppose -b - l = -4*b. Give b*c(k) - g(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*x - 53*x = -18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (913\/(-249))\/((-5)\/3).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -28\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304394139?\nAnswer: 3, 7, 1610551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -3)*-1 - -44. Suppose 58*m = g*m + 157455. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 35.2. Let d = z + 4.1. Sort 2, d, -4\/9.\nAnswer: -4\/9, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/9 + 145066*d**2\/9 - 35018126*d\/9 + 705608354\/3 = 0. Calculate d.\nAnswer: 121, 72291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/25)\/(441\/(-490))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 3*j**2 - 2*j**3 - 597368*j - j**2.\nAnswer: -2*j**3 - 2*j**2 - 597368*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129839073 to the nearest integer?\nAnswer: 11395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 46. Let v = 28 - p. Suppose 555 = z + v*z. List the prime factors of z.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02988 and -779.\nAnswer: -23.27652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 46 (b) -5\/8 (c) 2 (d) -16 (e) -2 (f) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 98, 0.113, -1\/4 in increasing order.\nAnswer: -1\/4, 0.113, 9, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*l + 5, -2*r - 2*l - 11 = -3*r. Sort r, 2, 3, 5.\nAnswer: r, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15282*o - 15281*o - 60 = -13*p, 4*p = 5*o + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3813 (b) -1 (c) 3 (d) -1\/3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((-28 - -11 - -9) + 25 - (7 - -5))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6957*x**6 - 9618*x**2.\nAnswer: -834840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -387c6 (base 14) to base 6\nAnswer: -2550202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 341280 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 159, -150, -573, -1110, -1761?\nAnswer: -2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73700.\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997616 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 710*l + 14903. Calculate w(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 6*z**2 - 2 - 8.\nAnswer: 6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-94 + 167 - -16)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1.7, 5929.\nAnswer: -14, 1.7, 5929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -25 + -23 + 5 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 21. Let p(y) = -5*y**3 - 2*y**2 + 2*y + 1. Is 28 a factor of p(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = -t + 7125. Is t*2 + (-8 - -11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -83878*n - 33299561. What is k(-397)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1186 and 11774015?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/170 and 3\/230.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l, s + 5*l = 2. Let i(a) = a**2 + 3*a - 2. List the prime factors of i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose -2*z - t + 11 = l, 0*z + 4*z - 12 = -4*t. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 130, 137, 146, 157, 170, 185?\n\"Answer: o**2 + 4*o + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.094.\nAnswer: 0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -614962 divided by -2?\nAnswer: 307481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 180233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/60*(-1 + -1).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -50.48373 and -57.\nAnswer: -107.48373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -41*t - 4749. Determine j(-115).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/123 and -39\/2050.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16470589 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 - (-15 + 23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q - 81*q - 5*k = -42*q + 36, 4*q - 32 = 3*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/9 + 4\/(-6). Let z be ((-2)\/(-20))\/((-10)\/125). Let w = 33.2 + -33.6. What is the closest to 0.1 in i, w, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 5. Let t be w(-6). Suppose t*k - 36 = 48. Suppose -k*j = -15*j + 117. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*-6*(-6)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(3*t**5 - 2*t**5 - 2*t**5) - 33*t**5 + 22*t**5 + 66*t**5 + (3*t + 2*t**3 - 3*t)*(0*t**2 + 2*t**2 + 0*t**2).\nAnswer: 57*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 16, 19, 20, 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*a**2*q**2 + 3558*a**2*q - 36075*q**2 with respect to a.\nAnswer: 20*a*q**2 + 7116*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -223, -201, -181, -163, -147?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, x: 7}. What is prob of picking 2 x?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 8.4. Let v = 6.6 + u. Let o = -7.45 + v. Round o to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406609226.\nAnswer: 2, 23, 8839331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.4, 2, 7, 7.8 in descending order.\nAnswer: 7.8, 7, 2, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213798 and 18?\nAnswer: 641394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410 is divided by 691?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185979066 and 721?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2023, -7970, -17875, -31738, -49559, -71338?\n\"Answer: -1979*g**2 - 10*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1482697*x**3 + 2*x**2 - 215*x - 262 wrt x?\nAnswer: -8896182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 20 = 4*a, -3*a + 8 = -2*t - 0*t. Suppose 2*u + 8*u = a. Suppose 0 = n, c - 3 = n - 1. Solve -3*o - c*o = u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-13) - 2*-7. What is the fourth smallest value in 0.5, 1, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 a factor of 1606377901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 84996316 divided by 1909\nAnswer: 44524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**2 - 12*s + 28. Let r be g(3). Let u = 78 + r. What is the least common multiple of (-2)\/((-8)\/(-6))*-2 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 5*f + 6. Suppose d - 2*v + 5 = 0, -v + 4*v - 5 = -d. Let w be s(d). Solve -3*a - 6 = -w*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/21 + -83\/84. Let j = -2\/47 - -53\/141. Let a = j - 1\/12. What is the nearest to a in m, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.57+12757320\nAnswer: 12757300.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 51 = -2*s. Suppose -o = -23 - 27. Calculate the remainder when o is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 119624. Let w(h) = 62*h. Give w(m(n)).\nAnswer: -124*n + 7416688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/7)*c**(-2)\/c*(c**(-3)\/c)\/((c*c**(-1\/3))\/c) assuming c is positive.\nAnswer: c**(-143\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 38*w**2 - 26*w + 4. Let p be g(-8). Suppose -10*h + p + 776 = 0. Is h a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 58*a**2 + 2*a - 4. Let y be i(3). Suppose 2*w + y = 6*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-67)\/7 + 5 - -5\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-28)*b*b)\/(b*b**(-2\/21)*b)*(b\/(b\/b**(-13)))**9 assuming b is positive.\nAnswer: b**(-3022\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.57 - 0.07. Let i = -0.4 + m. Let z = 0.21 - 0.51. What is the nearest to i in 4\/7, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x + 5. Let p(j) = 1 + 0 + j + 0. Suppose 0 = 7*s + 13*s. Suppose m - 4*w + 12 = s, -m + 5*w - 3*w - 8 = 0. Give m*p(a) + g(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 5*r)*(0 - 2 + 6)*(8 + 2 - 2).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/11)*q**(-1\/2)*q*q**(-1\/4)*(q**(2\/3)\/q*q)\/q assuming q is positive.\nAnswer: q**(13\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 2)\/(102\/357)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.1, 34\/7 in descending order.\nAnswer: 34\/7, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332802478, -665604954, -998407430, -1331209906, -1664012382?\nAnswer: -1996814858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 1. Let n(x) = -5*x**3 - 4*x**2 - 4*x - 8. Determine 4*h(r) - n(r).\nAnswer: 5*r**3 + 4*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (34\/(-3) + 11)*-120. Let u(z) = 29*z + 3. Let k be u(-2). Let v = k + 155. Calculate the greatest common factor of v and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*u - 110*u = 588. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1\/6, 1\/619, -14?\nAnswer: 1\/619","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.04 + 37. Let w = g - 0.06. Which is the nearest to w? (a) 0.4 (b) 0 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 11*z - 32. What is the tens digit of l(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 7*y**2 + y - 7. Let w be o(7). Let i = w - -6. Find the third derivative of 4*d**6 - 3*d**i + 2*d**2 - d**2 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 869478*t**2 - 18734*t + 9367. Let k(o) = 557*o**2 - 12*o + 6. What is -9367*k(c) + 6*n(c)?\nAnswer: -551*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20252 and 20.\nAnswer: 101260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -666*o. Let z(q) = -9*q**2. Determine d(z(l)).\nAnswer: 5994*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v + 4. Let x(p) = -13*p + 8. Let w be (-4)\/14 - 44\/(-7). Let j(n) = w*x(n) - 11*t(n). What are the prime factors of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008591159 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -117.2. Let l = t - -84. What is the third smallest value in -5, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqaa when four letters picked without replacement from {q: 7, a: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10.21. What is x rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1880520908.11007 + -1880511429. Let y = 9479 - v. Let f = 0.11 + y. What is f rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 and -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-56)\/(-7))\/8)\/5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 105 - (-6)\/(2 - -1). Let q = n + 25. What is the highest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - ((sqrt(300)*1*-5 - sqrt(300)) + sqrt(300))) + sqrt(300) - 1*sqrt(300)*3)**2 + 2 + (sqrt(6)\/sqrt(2) + -4 - sqrt(3))*-2.\nAnswer: 4810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0133434 rounded to five decimal places?\nAnswer: 0.01334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) - -2*sqrt(5))**2*2*-4.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/15076 and 38\/4172283.\nAnswer: 16689132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 14*w**2 + 35*w - 21. What is g(16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*k + 10, -3*k - 173*u = -87*u - 91*u + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -2.74?\nAnswer: -0.1918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16425 or -114969\/7?\nAnswer: -16425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13\/325*-35 + 5\/4*4\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*m**3 - 22*m**2 + 4*m wrt m?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(-8)\/16 - -94. Suppose 38 + u = 32*w. Solve -3*p + w*m = 16, p + 0*p + 5*m - 20 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 - 15*d - 2. Let y be b(-2). Let g(j) be the third derivative of 2\/3*j**3 - 6*j**2 + 1\/8*j**y + 0*j + 0. What is the derivative of g(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 = -t + 2, 3*t - 2*x = 8. Which is smaller: t or 1\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -349\/3 + 115. Let w = 24 + -11. Let f be (w + -9)\/(1 + -12). Sort x, 5, f in increasing order.\nAnswer: x, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -441 - -1270. What is the remainder when t is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from {g: 3, e: 2, b: 5, u: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1420 smaller than -1404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285*a**3 + 2167*a**2 - 1972895 with respect to a.\nAnswer: 855*a**2 + 4334*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-20 - -3) + (11 - -1) - 17).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 5)*(-5)\/15. Let l(r) = -4*r**2 - 1. Let o be l(k). Let y = -6 - -2. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232000 by -5.\nAnswer: -46400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54850627*x + 54850627*x + 11997*x**3 + (-3*x + 4*x + x)*(2*x - 2*x - x**2) to t*x + i*x**2 + q*x**3 + m and give q.\nAnswer: 11995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 - 9687*z\/7 + 9690\/7.\nAnswer: -3*(z - 1)*(z + 3230)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1489, -1972, -2455, -2938, -3421?\n\"Answer: -483*q - 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*w**3*x + 325*w**3 + 60*w*x + w - 3*x - 2 wrt w?\nAnswer: 30*w*x + 1950*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/((-1)\/9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40998589?\nAnswer: 5081, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juju when four letters picked without replacement from jbuju.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from amzsswaumaas?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1356142 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from qlmmmmmmm?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/7 + 12698900*z**2.\nAnswer: -2*z**2*(z - 44446150)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14767630, -29535261, -44302892, -59070523?\nAnswer: -73838154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*a + 368 - 1260 - 452 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 256188 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -75. Solve u = 5*n - o, 5*n = -u + 9 + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -46. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 3*j**2 + 0*j**2 + (0 + 0 + j)*(4*j - j - 4*j) - j**2 + 0*j**2 + 0*j**2 + j.\nAnswer: -4*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -160913*n**2 - 10*n - 1. Let y(m) = 6*m. What is o(y(q))?\nAnswer: -5792868*q**2 - 60*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) -0.93 (c) 2\/23 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 267.\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -101*k**2 - 5*k + 158. Let o(d) = 101*d**2 + 4*d - 159. Let a(b) = -4*f(b) - 5*o(b). What is the first derivative of a(t) wrt t?\nAnswer: -202*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 5*p**2 - 7*p + 6. Let u be k(6). Suppose s + 2*o = 18, 0 = s - u*s + 5*o - 21. What is the lowest common multiple of 22 and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1964844.4 rounded to the nearest one thousand?\nAnswer: -1965000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -91c87 (base 14) in base 10?\nAnswer: -350959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-189)\/(-126))*27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -166 + 155 + (47 - 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*2 + -1 - (-3 + -1 + sqrt(1584) + sqrt(1584)))**2 + (sqrt(1584)*2*-3 - (-1*sqrt(1584) + sqrt(1584) + 4)**2).\nAnswer: -72*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.2, -9\/10, 16\/15, -4?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.05148?\nAnswer: -0.45148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/2, 0.5 in decreasing order.\nAnswer: 1, 0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 57, 61, 67, 75, 85?\n\"Answer: r**2 - r + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Let a(s) = -7*s + 3 - 3*s**2 + 3*s**j - s**2. What are the prime factors of a(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35134320 rounded to the nearest ten thousand?\nAnswer: -35130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = 2510*i - 2514*i + 17, -3*i + i + f = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 1. Let s(c) = -2*c + 1. What is -3*r(u) + 2*s(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8798907 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 p when three letters picked without replacement from ppppnnnnpppnnnnn.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:33 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1927242 (base 11) to base 15\nAnswer: -445d72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7.84, 0.5, -63, -1\/3, 4\/3, 0.031, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 2*o + 43*o**2 + 146*o**2.\nAnswer: 189*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22127 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11248 + 301?\nAnswer: -10a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 459*f - 21870.\nAnswer: -(f - 405)*(f - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**2. Suppose -i + 5 = -m, 0*m - m = 3*i - 11. Determine g(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6918 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*1*((-120)\/300)\/(1\/540) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 2*z - 2*z + z - 4*h, 175*z + 13*h = 174*z - 44 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3630d - -3?\nAnswer: 36310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 1. Let p = 34 - 69. Let s be (p\/20 - -4) + 6\/8. Give c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 69, 78, 63, 18, -63, -186?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 711393 and 1245?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 981, 1108, 1235, 1362, 1489, 1616?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46348844 and 1624.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -38 + 47 + 58*f**2 + 12*f - 55*f**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2324 and 6361348.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Suppose 0 = 2*k + q*k. Suppose k*l = l - 11. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/3 + 8)\/2. What is the second derivative of y - u*y + y + 5*y**4 - 3*y**4 wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u = -4. Let m be ((-12)\/48)\/(1\/u). Solve 2*y = -4*l + 5*y - 9, 2*l + m = 5*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42, 85, 102, 81, 10, -123, -330?\n\"Answer: -2*l**3 - l**2 + 60*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -5, 1, -3.\nAnswer: -5, -3, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235013640 to the nearest integer?\nAnswer: 15330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4766 divided by 528\nAnswer: 2383\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -350834, -701663, -1052492?\n\"Answer: -350829*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78301\/2 + 316463\/8. Let t = f - 407. Factor t*w - 1\/4*w**2 + 0.\nAnswer: -w*(2*w - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 13. Let b(w) be the third derivative of -w**5\/60 - 7*w**4\/24 - w**3 - w**2. Let g be b(i). Which is greater: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*w + 123498, 153*g + 247036 = 157*g - 5*w. What are the prime factors of g?\nAnswer: 19, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**2 + 0*w**4 + 0*w**3 - 1\/63*w**7 - 16\/15*w**5 + 0 - 4\/15*w**6 + 60*w. Suppose n(a) = 0. Calculate a.\nAnswer: -8, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.75802 and 0.031854545.\nAnswer: 0.789874545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165282 + -1.\nAnswer: -165283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328946 is divided by 108611?\nAnswer: 3113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844026805?\nAnswer: 5, 61, 67, 103, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijjh when four letters picked without replacement from {i: 1, t: 2, c: 1, h: 4, j: 2}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**5 - 60*u**4 + 180*u**3.\nAnswer: 5*u**3*(u - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = -144. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 344*w - 5158. Determine q(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389 is divided by 211.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, k: 11}. Give prob of sequence www.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112\/93031 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -92*l + 5. Let s(z) = -46*z + 2. Let p(m) = -2*a(m) + 5*s(m). Let q be p(1). Let d = 29 - q. What is the highest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 25*i**2 + 40*i + 20.\nAnswer: 5*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 15*c**2 + 16*c - 2. Let k be x(-16). Calculate the common denominator of -3 + 149\/20*2 and 222\/20*k\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4681013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*a - 418*a**2 + 747*a**2 + 388*a**2 + 107*a wrt a.\nAnswer: 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1458310*x. Let i(f) = f**2. What is i(v(n))?\nAnswer: 2126668056100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 + 492. What is the hundreds digit of k + (-4 - (-1 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum -0.373265 and 33.\nAnswer: 32.626735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, -2.\nAnswer: -21, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5154 - 0.3.\nAnswer: 5153.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796036?\nAnswer: 2, 127, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*k = 0, 18*v - 15*v + k = -10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*h - 102*h = 93*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -1\/60*u**5 + 1\/120*u**6 + 1\/2*u**3 - 1\/8*u**4 + 0*u + 23*u**2 + 0. Let n = -6 + 8. Determine q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*w = 330, -w = -6*w - 10. Calculate the remainder when p is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 21*m + 20. What is the least common multiple of 14 and z(-21)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177325.5 rounded to the nearest one hundred?\nAnswer: 177300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1)\/((-2)\/(-1)). Suppose 4*n = 3*d - 0*n, 3*d + n = y. Let u = d + 2. Solve -u*t + 9 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -73743?\nAnswer: 7373b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 50. Suppose 0 = 2*n + 6, p + 0 = -n + 1. Suppose p*f + 10 = 38. What is the remainder when i is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 223\/575 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.19 + 2.81. Let s = 3 - m. What is the closest to -2\/11 in s, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g - 2 - 12*g - 1 + g. Determine b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbm when three letters picked without replacement from {n: 1, k: 2, r: 1, l: 1, m: 1, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -709 - -998. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (189\/1125*(-75)\/(-30))\/((-6)\/(-8)). What is the third smallest value in -0.08, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 16. What is the remainder when 60 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442 and 3653.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1565733.\nAnswer: 3, 13, 19, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.03649 centuries in millennia?\nAnswer: 7.903649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/3 + -127\/48. Let q(j) be the third derivative of 0*j**3 - 1\/80*j**5 - 6*j**2 + 0*j - n*j**4 - 1\/480*j**6 + 0. Factor q(x).\nAnswer: -x*(x + 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -29*i**4 + 11*i**3 - 11*i**2 + 11*i - 86. Let p(y) = -6*y**4 + 2*y**3 - 2*y**2 + 2*y - 17. Let d(q) = -2*o(q) + 11*p(q). Differentiate d(a) wrt a.\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 2*c**3\/3 + c**2 + 3*c + 6. What is b(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10689, 21299, 31877, 42405, 52865, 63239?\nAnswer: 73509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 89.37187ms in seconds?\nAnswer: 0.08937187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -7, 1\/13, 4, -1\/5, -11, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, w: 2, f: 1, g: 10}. What is prob of sequence gdwd?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125421*b + 260 = -125401*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (6 - (3 - -3))) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*n - 15, 3*p = 7*p - 4*n - 4. Solve 4*o - 28 = 4*w, 0 = -o + 2*w + p*w + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201 + -58. Suppose -x - 3 = -5*w - 1, 0 = -5*w + 15. Calculate the greatest common factor of x and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7 + 9)*(2 + y - 2) + ((2 + 5 - 5)*(-2*y - y + y) + 5*y + 0*y + 6*y)*(3 - 3 - 2).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (13 - (2 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a - 41 + 27*a - 15.\nAnswer: a - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3588)\/182)\/46)\/(20\/42*3).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 16. Suppose -2*n = 5*y + 2 + 3, w*y = 3*n + 20. Let d = 10 + -14. Sort -3, y, d in increasing order.\nAnswer: d, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 - h + 2*h**3 + 2*h + 8 - 2 as r*h + v*h**2 + f + m*h**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16422*z + 12*z**3 - 16422*z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110101100 (base 2) to base 4.\nAnswer: 132230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 450*b**5 + 2661540*b**4 + 3936151442*b**3 + 2098713008*b**2 + 279803168*b = 0.\nAnswer: -2957, -4\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 32 = 4*r, -4*r + 2*r + 3*f = -6. Suppose -r*x = -2*x. Suppose x = 2*j - 5*j, 0 = l + 5*j - 3. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*d + 66 = -79*d. Let t = d + 68. Suppose t*b - b = 68. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -261 (c) 2\/7 (d) 0.065\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13315, 13313, 13311?\n\"Answer: -2*y + 13317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -8, -2, 459?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 502 and -0.2?\nAnswer: -100.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6001 is divided by 594.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let b(a) = 12*a**2 + 4*a + 3. Let z(x) = -22*x**2 - 8*x - 5. Let h(j) = -5*b(j) - 3*z(j). What is p(h(o))?\nAnswer: -12*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-666)\/777 - (-50)\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 314*b - 285*b - 87. Solve -4*c - 1 = -z, b*c - z = -0*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pap when three letters picked without replacement from papepaa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180905 + -420423229\/2324. Is -1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*665\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 26*t + 3. Let l(y) = -3*y**2 + 78*y - 8. What is -11*a(x) - 4*l(x)?\nAnswer: x**2 - 26*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1204563944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-20)*-5*2. Solve -a = -6*a + 3*m - 12, -4*a + l*m = 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/9 + 184*a**2\/9 + 538*a\/9 + 356\/9 = 0.\nAnswer: -89, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 62. Suppose 0*j + 142 = -5*w + 2*j, w + 5*j = -23. Let g = w + q. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 179\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -z + 66. Is 16181\/z + (-18)\/15 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119 - -51. Suppose 3*p + 98 = -1. Let m = p - u. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:49 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/((-1)\/9). Suppose -6 = -3*v, 2*n + v - 8 = h*v. Find the third derivative of -4*w**4 + w**2 - n*w**2 + 7*w**2 wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a millimeter in micrometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 12\/5*m**5 + 1\/70*m**7 + 0*m**3 + 0 + 8*m**4 + 0*m + 3\/10*m**6 - 3*m**2. Find r such that a(r) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p + 700 = -37*p. Calculate the remainder when 73 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = -f, 2*f + 4*a - 12 = -26. Put f, -9, -1, -3 in decreasing order.\nAnswer: f, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 447 + -4?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4203396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 10, 2*q + a + 4*a = -13. Let l be (2 - (-8)\/12) + 2\/q. Factor 1\/3*u**4 - 2\/3 + 1\/3*u**2 + u - u**l.\nAnswer: (u - 2)*(u - 1)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*r + 4*z, -5*r + 816*z - 819*z - 3 = 0. Which is the closest to -2? (a) r (b) -9 (c) -0.06 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.6 take away -7148190?\nAnswer: 7148212.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12615 by 15.\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3065\/18426 + 1\/3071. What is the third biggest value in -1, u, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3895 is divided by 150?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/29 + -13\/232. Let a = 3554753\/110 - 32315. Calculate the common denominator of t and a.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/63*((-60)\/24 - -3)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 52\/799 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3680892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 * -29831\nAnswer: 137222.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(231\/6)*184\/(-184).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -14*i**3 - 2*i**2 + 1. Let j(q) = -3*q + 49. Let z be j(17). Let o(l) = -12*l - 23. Let m be o(z). Determine y(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 13*h - 179. Let m(a) = 2*a. Give m(k(d)).\nAnswer: 8*d**2 - 26*d - 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7 - 34 + 634*q + 540*q.\nAnswer: 1174*q - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092337 is divided by 546065?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 263168753918\nAnswer: 263168753904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 54*x**2 - 4*x + 5. Let s be y(1). Let g = s - 25. What is the lowest common multiple of 18 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -261 + 274. Find the third derivative of -r*l**3 + 3 - 20*l**2 - 2 + 27*l**2 + 114*l**3 wrt l.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3 = -33, -6346 = -l - 5*p. What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -2*m + 27. What is the smallest value in m, 2\/3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 43751868*u**2. Let x(f) = -2*f**2. Give x(b(h)).\nAnswer: -3828451906978848*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*f + 8, 6*l = 4*l - f - 4. Suppose 0 = 3*p - l*p. Suppose 3*v + v - 388 = p. List the prime factors of v.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3276 divided by -6\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -1. Does 3 divide (a\/(-15))\/(3\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(5\/7)\/p)\/(p\/(p**(9\/10)*p*p)*p))\/(p**16*p)**(-2\/23) assuming p is positive.\nAnswer: p**(3369\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6216421 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: Simplify (i**(-2\/9))**(-1\/13)\/(i**(-2\/73)*i*i**(7\/3)) assuming i is positive.\nAnswer: i**(-28090\/8541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 778, 1620, 2462, 3304, 4146?\nAnswer: 4988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - -1202. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Let b(f) be the third derivative of 0 + 0*f**h + 1\/150*f**5 - 1\/150*f**6 - f**2 + 1\/525*f**7 + 0*f**3 + 0*f. Factor b(q).\nAnswer: 2*q**2*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -16, -68, -174, -352, -620, -996, -1498?\n\"Answer: -3*y**3 + 5*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -0.3, -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.5 - 8. What is the nearest to -1 in -0.4, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.5 + -20. What is the smallest value in 0.3, 3, w, -4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-9)\/(-360))\/(3\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, -7, 0, -202415 in ascending order.\nAnswer: -202415, -7, 0, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -31. Suppose 3*s - 9*b - 39 = -5*b, c*b = -4*s + 52. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -974*f**2 + 13*f + 11. Let l be w(-9). Round l to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 + 3*b - 1. Let r be t(-4). Suppose 5*h = -4*g - 13, r*h + 2 + 4 = -3*g. Let d be 2\/17 + (-702)\/(-102). Solve 2*s = d + g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 166128.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2 + 33*g + 4. What is the hundreds digit of y(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12110 + -6334. Let g = y - 3729. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1197776 by -299444.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70070303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 + c**5\/5 - 11*c**4\/12 + 4*c**3 - 18*c**2. Let h be d(10). Let x = 2705\/4 - 673. Which is greater: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/30 + f**4\/24 + f**3\/6 + 3*f**2. Give g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - 137?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/155? (a) 3 (b) 2\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/64*-72)\/(-3) - 26\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 115012 = -5*u - 4*d, -4*u + 92008 = -2*d. What is u rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943385499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**7\/70 - c**6\/50 - 14*c. Factor v(f).\nAnswer: -3*f**4*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3626.9999882 - 3627. Round h to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*h*o + 200*h - o**4 with respect to o.\nAnswer: 23*h - 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 53. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 49530.74 seconds?\nAnswer: 49530740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8428 = 2*n + 8*b, 4232 = 7*n - 6*n - 2*b. List the prime factors of n.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10*v**(-3))\/((v\/(v\/v**(2\/11)))\/v*(v**(7\/6)*v)\/v) assuming v is positive.\nAnswer: v**(439\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -662 - 3\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from unanenuaaanaaaauaauu?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -728 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 7*p**2 - 13*p - 21. What is the units digit of b(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19398)\/8*(-7)\/(84\/48). Suppose -156773 = -4*o + 2023. Suppose n - o = g. Round g to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -n - 2*n + 42, -3*j + 2*n = -37. Let p = -9 + 6. Let h be 90*(p + (-14)\/(-4)). Calculate the greatest common divisor of h and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845532 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 + 6. Let k(t) = -2*t**2 - 2. Determine -4*j(w) - 11*k(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -29. Suppose 3*m + 3*n - 4 = 8, -2*n + 4 = 0. Let u = m + 3. Calculate the highest common divisor of u and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 1:44 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 199*w**2\/3 + 1250*w + 11816\/3.\nAnswer: (w + 4)*(199*w + 2954)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*v = 6*v - 55, t - 5*v = -5. What is the smallest common multiple of 3*t\/12 - -1 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - a + a - a + a**2 - 5. Give f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -57, -72, -93, -120, -153, -192?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 79*u = 76752. What are the prime factors of u?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 336\/60 - (4 - -2). Which is the nearest to -1\/2? (a) 5 (b) -2 (c) g (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 + 0*w**2 - 13*w - 5\/12*w**4 + 0*w**3. Let g(h) = -h. Give g(b(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/9)\/(n**2*n))\/(n**(-2\/3))**21 assuming n is positive.\nAnswer: n**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033286527 rounded to five decimal places?\nAnswer: 0.00333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, y: 2, w: 7}. What is prob of sequence wywf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -36*d + 434. Determine o(18).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7525008 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 259*l + 266*l - 530*l + 2*r + 6, r = 3*l + 4*r + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.044332 + -2296.855668. What is d rounded to the nearest ten?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04015594 rounded to three dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 1.8. Sort -2\/7, 2, l in increasing order.\nAnswer: l, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**2))\/s**(-1\/9))\/(s*s**(-1)*s*s)**(-1\/10) assuming s is positive.\nAnswer: s**(104\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 123620*t**2 - 179565 wrt t?\nAnswer: 247240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*v - 2*v + 6, 5*v - 3*o = 9. Let q be 8*(1 - -2 - v). Let f = -9 + q. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35311 (base 6) in base 4?\nAnswer: -1033123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 1 = 1. Let d = 596\/7 - 9557\/112. Is l at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -380, -379, -378, -377, -376, -375?\n\"Answer: p - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -9. Let g(t) = h*t**2 - 5*t + t + 4*t. Let a(z) = z. Calculate g(a(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 times -0.7\nAnswer: -0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b71b (base 12) to base 13.\nAnswer: -21cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -1)*-8*(-7)\/84. Solve -g + 4*b = -7, -v*g + 2*b + 17 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-3 + (3 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9340, 9684, 10028, 10372, 10716, 11060?\n\"Answer: 344*l + 8996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.02845 grams in tonnes?\nAnswer: 0.00003802845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*l + 13. Let o be 2 - (29 + 0)\/(-1). Let x = l + o. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 636 = -651 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*h**2 - 114*h**2 + 9*h + 8*h - 60*h - 2*h**4 as b*h**4 + r*h**3 + n*h + a + s*h**2 and give n.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7555*x**2 - 7570*x**2 + 15126*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*j - 36, -2*j + 5*y + 132 = 138. Solve 0 = -12*d - j*d + 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 u when four letters picked without replacement from {u: 6, v: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from ikbkjir.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 5)*(-4 - 7 + 3)*(q + 0 + 0).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 12) in base 10?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = -4*c - 3. What is the highest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 225*z + 4348. Give m(-19).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 18 - 32 - 18 - 2*c + 0*c. Let g be q(-23). Sort -5, -0.2, g in decreasing order.\nAnswer: g, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 2, x: 4, w: 2, f: 1, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-105 + 12*c + 105)*(58*c - 583*c - 930*c) to x*c + o*c**2 + d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 6\/7, 3, 31\/5, 1\/3 in decreasing order.\nAnswer: 31\/5, 3, 6\/7, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15620776 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2317\nAnswer: 695.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 12. Is 8 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 32, 5, -21 in increasing order.\nAnswer: -21, -4, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*2 + 11\/11 + 116. Calculate the greatest common divisor of 55 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*d - 1009*d + 254*d - 2615 + 256*d + 252*d as y*d + g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6645 + 20733. List the prime factors of a.\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1309 - -1277. Let f = 2.5 - 2.63. Let x = -0.23 - f. Sort x, -2\/17, g.\nAnswer: g, -2\/17, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 24 + 15*t**2 + 30 - 88.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 6. Let z(u) = u**2 + 3*u + 9. Let v(g) = -6*y(g) + 4*z(g). Let f(r) = -203*r + 1. Calculate f(v(k)).\nAnswer: -812*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39, 86, 153, 252, 395, 594, 861, 1208?\n\"Answer: 2*i**3 - 2*i**2 + 39*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u**2 + 5*u + 3. Calculate h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = 2*g - 87113. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 - 2.71. Let t = -0.59 + x. Let n = 16 + -15.7. Which is the fourth smallest value? (a) t (b) n (c) 4 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 103\/2, -50, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*m + d - 25, 3*m = -5*d + 26. Suppose 3*t + 2*o - 4 = 10, 3*o + 1 = t. Calculate the remainder when m is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20099708 and 20099696 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 13026 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 4 (c) 3.54996\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 9. Suppose -u = 4*u + z. What is the units digit of (u\/(-6))\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7523*a + 7439*a + 504 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 16 + 14. Let w = o - -31. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 + 8 + 12\/(-3))\/2. Let q(d) = 3*d**2 + 5*d + 2. Let z be q(y). Suppose 9*b - 40 = z*b. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*h - 2*h + 4, -h - 6 = -3*r. Let t(s) = 59*s**2 + 2*s - 1. Let n be t(r). Suppose -3*i = -160 - n. What are the prime factors of i?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + 4 - 4 - (24 + -2496) is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = l - 21, 10*p - 2*l - 66 = 5*p. Suppose 0 = 3*z, 3*w = -0*w + 5*z + p. Suppose -2*d + h = 7, w*h - 21 = -d + 2*d. Is d at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 3*n + 2. Let s be v(3). Suppose 0 = s*g + 8 - 32. Let q(u) = -4*u**2 + 12*u. Let z(o) = 5*o - 3 - 4*o + 3. Calculate g*z(f) - q(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -14)\/(4 + -2). Let t = z - -23. Calculate the lowest common multiple of t and ((-4)\/(-3))\/((-2)\/(-3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 4389.\nAnswer: -21945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1700) - (sqrt(1700) - (-3 + sqrt(1700) + sqrt(1700) + sqrt(1700))))*-6)**2 - (2 + -6*(sqrt(153) - 2*sqrt(153)))**2.\nAnswer: -3312256 + 38808*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -55338225.\nAnswer: -55338225.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -55, -56, -67?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((4 + -4)\/1)\/2. Let s(y) = 5*y + p*y - 3*y. Let q(h) = h**2. Calculate q(s(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4)*19)\/(((-6174)\/252)\/(-49)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12.861 (b) 0.1 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 0 - 6*s + 8 + 9 in the form m*s + h and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 22*w**2 - 5*w - 2. Let b be r(-22). What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780.3660872 rounded to the nearest ten?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12221801.\nAnswer: 12221801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/18 - (-4 + (-54878)\/18)?\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z. Let o(n) be the second derivative of 0 - 1\/6*n**4 - 1\/3*n**3 + z*n**2 + n. What is the second derivative of o(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4225 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311132321 (base 4) in base 16?\nAnswer: f57b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*r - 3*r. Suppose -19 = -5*u + 3*a, 3*u + 3*a = r*a + 3. Let c be (-1 + u)\/((-2)\/(-6)). Solve 7*g = c*g - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -173, -254, -335, -416, -497?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2567655 (base 9) to base 8\nAnswer: -5264374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszzzzzsszs. What is prob of sequence zzzz?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3530078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256 or 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-351)\/(691119\/(-12530)))\/(3\/(-66))?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12630387 to the nearest integer?\nAnswer: 3554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let c(y) = -33*y + 321 + 34*y - 567. Determine q(c(n)).\nAnswer: 2*n - 492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 11*f**2 - 12*f + 4. Let s be z(-12). Let k(g) = 163*g**3 + 3*g**2 - 2*g + 3. Let a be k(s). Suppose -8*x + 3*x = -a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 2\/29 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let a(g) = 5 - 8 - g - 6*g. Let n(l) = a(l) - 3*u(l). Calculate n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 1334, -4, 4 in descending order.\nAnswer: 1334, 44, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 38 - 4. Suppose 0 = -q + s + 22. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -117*w**5\/10 + 347*w**2\/2 - 52*w. Differentiate x(o) with respect to o.\nAnswer: -702*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -229 (b) 2.5 (c) -0.02 (d) 1 (e) -0.2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 35. Suppose 3*j - k*q - 9 = 0, 0 = 2*j - 0*j - 4*q - 8. Solve -2*w = 5*g + 6, -g - 3*w + j = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c - 12 = 0. Suppose 0 = -2*x + c*m + 156, 0 = -2*m - 5 + 3. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - -11?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 253, 380, 507, 634, 761?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5 + 370*w**4 + 5990*w**3 - 166690*w**2 - 5988*w + 166320 = 0?\nAnswer: -28, -1, 1, 15, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 5 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i*j*x**3 - 3*i*j*x**2 + 2*i*j + 613*i*x**3 - 38*i*x + j wrt x.\nAnswer: 42*i*j + 3678*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215 and 50?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4)*v**(-5))**(8\/3) assuming v is positive.\nAnswer: v**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 96?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:22 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22869 and 10479447.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6159009 at most -6159014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -602 divided by 12\nAnswer: -301\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100223 - -320?\nAnswer: -44403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953.374 years in decades?\nAnswer: 195.3374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - 3) + (-683 - -671).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7 = -2*q, 5*q - 2958 = 4*i - 2948 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*v + 10*v + 16*v)*(-v**3 + 2*v**4 + v**3) + 6*v**2 - 510*v - 4*v**5 + 510*v.\nAnswer: 18*v**5 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -5 (b) 7197 (c) -17 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 36. Suppose -8*f + 5*f - 45 = 0. Let u = f - b. What is the least common multiple of 4 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*c**2\/7 + 855378*c\/7 - 30132 = 0. What is c?\nAnswer: -5859, 18\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 1. Let o(j) = j - 5. Let z(p) = -o(p) + x(p). Give z(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(21)\/sqrt(3) + (sqrt(42)\/(sqrt(18)\/sqrt(3)))**2.\nAnswer: -5*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*j - 0. Let i = 5 - j. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(-11) - -1 - (230926\/836)\/(-103). Which is the closest to 2\/3? (a) i (b) 1\/2 (c) -0.2 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 9*y**2 + 3*y - 19. Let u be p(9). What is the greatest common factor of 40 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**5\/15 - 6*h**2. Let p(d) = 2*d. Give p(k(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19 + 3223.\nAnswer: 3223.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0 (c) 2865 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 3*v + 8*v + 5*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 230 in 0, -4\/5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8477*v - 48. What are the prime factors of m(1)?\nAnswer: 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6885 and 12102810?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1437 - 1437.26. Sort -4, m, 1\/3 in increasing order.\nAnswer: -4, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 3)\/((-1)\/3). Calculate the common denominator of -95\/6 and (-10)\/m - 4\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*k**2 - 47*k**2 - 14*k + 143*k**2 - 17*k**2 - 39*k**2.\nAnswer: k**2 - 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -12. Suppose 8 = -k*h + 2. Is 1.3 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/2)\/(28\/(-168)). Let d be (-2 + (-4)\/(-2))\/(q\/(-15)). Solve 3*l + 1 - 16 = d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 58 = -5*a - 0*a, -4*a + 5*o + 76 = 0. Let h = 141 - 91. Calculate the remainder when a is divided by (h\/15)\/(4\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 80994471 = 17*c + 80994570, 3*u = 4*c + 27 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 2*r + 14. Let l(k) = -k + 20. Let q be l(14). Suppose x + q + 0 = 0. What is the units digit of b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -12, 5 in descending order.\nAnswer: 5, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5 + 8*r**6 + 2*r**2 - 5 + 0*r**2 wrt r?\nAnswer: 960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12584, -12601, -12616, -12617, -12592, -12529?\nAnswer: -12416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (213312\/55968)\/(8\/212).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/10192*13 - (-32)\/(-112).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(288) + sqrt(162)*2.\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*887\nAnswer: -88.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58867\/4 + 362507\/20. Let u = m + -3397. Which is greater: 12 or u?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39, -46, -57, -72, -91, -114?\n\"Answer: -2*y**2 - y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 26*q**2. Let k = -335 - -335. Let f(p) = -339*p**2 + 0 + k + 334*p**2. What is a(f(v))?\nAnswer: 650*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(700)*-2) + 2 + (sqrt(700)*1 + -4)**2 + -4*(sqrt(700) + 0)**2.\nAnswer: -2097 - 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2240 + 2204?\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.881370175 to 4 decimal places.\nAnswer: -5.8814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 4075 = -930. Let g = 501 + n. Let q = -133 - g. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 2*o - 34, 0*w - 4 = -4*w - 3*o + o + 16 + 8 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1027383 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 39?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5451*j**2 + 11410?\nAnswer: 10902*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -107*r**5\/20 + r**4\/3 + r**3\/2 - 15*r + 3. What is the third derivative of j(n) wrt n?\nAnswer: -642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - 3*d + 3*d - 3145*d**2 - 710*d**2 + 759*d**2 + (-d + 3*d - 4*d)*(0*d + 4*d - 5*d) + 4*d**2 - d**2 - 4*d**2 - 3 + 3 - 3*d**2.\nAnswer: -3100*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6720 and 1587?\nAnswer: 3554880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110 - -47) + (18 - 2) + 1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18735.\nAnswer: 3, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 3*a**3 + 2*a**3 - 12*a**3.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2339*-1.346\nAnswer: -3148.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c - 2. What is the remainder when 11 is divided by d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**2 - 1049390*j - 2098760 = 0.\nAnswer: -209876, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 9685.1487 to zero dps.\nAnswer: 9685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d + 18. Let v be i(16). Solve -133*l - 3 = -v*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 2. Suppose -s - p = -3. Suppose -2*c + 3 = 1. Do s and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 7*w**2\/3 - 2535205*w\/3 + 120724 = 0.\nAnswer: 1\/7, 362172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) - 6*1*sqrt(300)))\/sqrt(6))\/(2*sqrt(490)*-6).\nAnswer: -sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -4. Let i = -7 + k. What is the closest to -0.1 in -0.1, i, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(20*t + 11 - 11).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 69642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*u - 13 = 0, j - 10 = 3*u + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.3 or -0.126?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2340 = -5*d + 10*d. Find the common denominator of (d\/(-192))\/(2\/(-8)) and -83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)\/h*h**(-1\/7)\/h)**(-3\/5)\/(h\/h**2*h*h*h**(2\/3)\/h*h*h**(-4)\/h*h\/((h*h\/h**1*h)\/h)) assuming h is positive.\nAnswer: h**(503\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -390*b**2 + 21448*b + 110.\nAnswer: -2*(b - 55)*(195*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143\/1890 - 1\/54. Let n(g) be the second derivative of 0 + 0*g**2 - 5\/42*g**4 - 1\/105*g**6 + g - v*g**5 - 2\/21*g**3. Determine t, given that n(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/943 + 28809\/(-1107).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 661*r**5 - 702*r**2 wrt r?\nAnswer: 39660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 35. What is the least common multiple of s and 8\/(108\/(-702)*26\/(-8))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 5*h = -16*k + 16, 4*h = k - 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxff when four letters picked without replacement from xfxxxxfxdxxxff.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Suppose 0 = z*p - 151 + 35. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -405 - -407. Suppose 3*c + p*x - 3601 = 0, 0 = -2*c + 6*c - 5*x - 4832. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2 - 17346*t + 17347 = 0.\nAnswer: -17347, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 692 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 - 7c9?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-10))\/((-22)\/55)*-1)\/((-79230)\/380).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -88355, -88360, -88367, -88376, -88387, -88400?\n\"Answer: -i**2 - 2*i - 88352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*(y**2\/y)\/y*y*y*y)**(3\/31)\/(y**9*y\/y**(-1\/7)*y) assuming y is positive.\nAnswer: y**(-2292\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1894897684 - 1894897680.450000564. Let t = 3.55 - k. Round t to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -2*q**4 - 11*q**3\/6 - 11*q**2\/2 + 146*q + 10. Let h(c) = -8*c**2 - 4*c - 4. What is 3*g(v) - 8*h(v)?\nAnswer: -8*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1174*a**6 + 21*a**3*y**3 - 8*a**2*y**3 + 10392*y**3 wrt a.\nAnswer: 140880*a**3 + 126*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/378576 and 145\/52128.\nAnswer: 137044512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/120*(3 - (-6)\/(-4)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170189655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**16*n\/(n**(-34)*n*n))\/(((n*n**(-21)*n*n)\/n)\/n*n)**(-3\/47) assuming n is positive.\nAnswer: n**(2246\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 50 = -4*n + 4*z, 0 = n - z + 17. Let r be -4*(-2)\/(4\/(-2)). Calculate the smallest common multiple of r\/n - 34\/(-9) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/2)*o*o\/(o**19*o) assuming o is positive.\nAnswer: o**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 2022\/21 - 2\/7. Let l = 216 - o. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/(t\/(t*t**27)))))\/t)\/(t\/(t\/((t*t**34\/t*t)\/t))) assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.05 - 0.05. Let g = h - 9. Let v = g - -9. Which is the biggest value? (a) v (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8150 * 0.07.\nAnswer: -570.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3936\/(-324) + 4 - (-30 + 22)\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11593?\nAnswer: 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/12*(-4)\/(-3). Suppose 0 = -a - 4*y + g*y + 35, 2*a - 4*y - 74 = 0. What is the least common multiple of 36 and a?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/9 - 9724\/(-153).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u + 1144 = 33*u. Let p = 108 + u. Suppose 0 = -3*b - 2*b. Put p, b, -32 in ascending order.\nAnswer: -32, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -626 (base 15) in base 16?\nAnswer: -56a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 114104 (base 7) in base 5?\nAnswer: 1130013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/31 or 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 7:45 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10448812?\nAnswer: 2, 11, 17, 61, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*q + 17, -3*h + 5*q - 20 = -2*h. Let c = 15 + h. Suppose -28 = -2*w + 4*y, -3*w - y + 12 + 51 = c. Solve -w + 0 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 176*h - 1. Let l(y) = -35*y + 2. Let z(v) = -52*v + 3. Let s(a) = 3*l(a) - 2*z(a). Give s(m(k)).\nAnswer: -176*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10915 and 740.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 117393390?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 399 + -283. What is m rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -800239169.476845 + -80.523155. Let i = r - -800239694.000267. Let u = -444 + i. What is u rounded to five decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -16*n + 455. Determine v(28).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/33)\/(2\/(-9)). Let g(w) = -w + 5. Let t be g(n). Which is the second smallest value? (a) t (b) 4 (c) 0.5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**3 - 3*d**2 - 6*d. Let l(u) = -4*u**3 + 2*u**2 + 5*u. Determine 3*l(b) + 2*n(b).\nAnswer: -2*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuoaloasaooo. Give prob of sequence ao.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 6*t**2 - 6*t + 7. Let a be v(-7). Let k be (1 + a)\/(2\/(-2)). Let o be 2 - ((2 - -1) + k). Which is bigger: o or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14288352619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + 242 - 216 = 0. Let h(w) = w**3 - 3*w**2 - 13*w - 3. Let n be h(c). What is k in 3\/5*k**4 - 3\/5*k**5 + 6\/5*k - n*k**2 + 9\/5*k**3 + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380687 is divided by 1232?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*b**5 - 5*b**4 + 5*b**2 - 4 wrt b.\nAnswer: 960*b**2 - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 - 122. Suppose o = 4*o - 15. Sort n, o, -1\/3, 3\/7 in decreasing order.\nAnswer: o, n, 3\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.06, 0.2751, -14, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4*q**2 - 26*a**4 - 29*a**3*q**2 + 56*a**2 + 40*a*q**2 wrt a?\nAnswer: -48*a*q**2 - 624*a - 174*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7251*t + 5534*t - 22846*t. Let j(y) = -2*y. Calculate r(j(v)).\nAnswer: 20122*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let o = -0.92 - -0.9. Let g = o - 3.98. Do y and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/650 and 41\/2080.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 4. Suppose 4*y + 0 = -c + 1, 0 = -q*c + 4*y + 2. What is the remainder when 1 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - 2*x**3 - 2*x**3 + (-2 + 2*x + 2)*(0 + 0 - 3*x**2) + 11*x**3 - 75*x**3 - 9*x**3 to the form k + g*x + y*x**3 + v*x**2 and give y.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.193 - 0.123. Which is the nearest to 2\/11? (a) -2 (b) 2\/17 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2. Let t(u) = 203427504*u. Calculate z(t(y)).\nAnswer: -82765498767340032*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9689*(-1 - -2) + (-23)\/(-23).\nAnswer: 2, 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -530, 38, 4, -42 in increasing order.\nAnswer: -530, -42, -5, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {b: 9, s: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-6)*o*o*o**(2\/21)\/o*o)**(-1\/20) assuming o is positive.\nAnswer: o**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1416135407?\nAnswer: 431, 3285697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 2*u - 4. Let i be t(-3). Let q(m) = 5*m**2 - 4*m + 3. Let v(d) = -d**2 + d - 1. Let l(a) = i*q(a) - 4*v(a). Let y be l(1). Is 0 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7920*w - 39456. Let b be j(-5). Let y(s) = s**3 - s**2 - s + 24. Let a be y(0). What is the greatest common divisor of b and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.0205687 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34309747763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 0*p**6 + 4\/3*p**3 + 0*p**2 + 0*p**5 + 0*p**4 + 3 + 2\/7*p**7 + 0*p. What is the third derivative of i(g) wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Let u be ((-186)\/(-18) - 5) + (-6)\/18. Suppose u*s = -10, 6*s + 68 = c*i + 2*s. What is the highest common divisor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 7 + -22 + 25 + 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14 + (-17)\/35. Let m be (-21)\/4 + (-3)\/(-12). Sort u, m, -2\/17 in decreasing order.\nAnswer: -2\/17, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = 3*h - 10*h. Calculate the remainder when 173 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1881 and 792.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/((q*(q**(-11\/4)*q)\/q*q)\/q))\/q)*q)\/q**(-8))\/(q\/(q*q**17)*((q*q**(-38)\/q*q)\/q)\/q*q*q) assuming q is positive.\nAnswer: q**(249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 * 25151.59.\nAnswer: 1609701.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0 = 9. Solve -2*z = -v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 27 = -4*m. Let x = m + 2. Calculate the remainder when 57 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150814 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.342 + 14.042. What is the closest to 2\/7 in -0.05, b, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5977741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1853, -7353, -16537, -29417, -46005, -66313?\n\"Answer: -2*s**3 - 1830*s**2 + 4*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -313013?\nAnswer: 313030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16, -11, 1, -3 in ascending order.\nAnswer: -11, -3, -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35655 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 84 (b) 4\/3 (c) 29 (d) -3\/5 (e) 4387\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -590*l**2 - 4*l - 5. Let q(i) = -3*i**2 + i + 2. Let y(v) = -4*q(v) - t(v). Let u(k) = 2*k**2. Determine u(y(n)).\nAnswer: 724808*n**4 - 7224*n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*o**2*z**2 + 2*b*o*z**2 + 12*b*z**2 + 14*b*z + 21*o**2*z**2 - 2280*o**2 - 3 wrt o?\nAnswer: -4*b*z**2 + 42*z**2 - 4560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/174 and 77\/58?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 30. Determine k(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4.72 times 367\nAnswer: -1732.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7837 - -37531. Is 42 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 29*g + 2. What is a(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 80. Suppose -3*d = -9 + 3, -5*d = 2*k - g. Let y(x) = -x + 5. Let h be y(k). Solve -q - q = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iroe when four letters picked without replacement from oreooroeeoioeo?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64\/6*(-3)\/(-2). Let f be 4\/(-30) - u\/105. Which is the closest to 0.3? (a) 4 (b) -5\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 20, 6\/11, 1\/141, 0.3?\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*2 - sqrt(70))*-3 - ((sqrt(70) - -1*sqrt(70)*2) + sqrt(70) - sqrt(70)))\/(sqrt(1440) + -2*(sqrt(1440) - (sqrt(1440) - -2*sqrt(1440)))).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - x + 2*x + (7958*x - 4080*x - 4294*x)*(6 - 3 - 1).\nAnswer: -833*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-2) + 2)*2. Let q(i) = -i**3 + 7*i**2 + 8*i + 2. Let c be q(o). Suppose -3*l + 3 = -c*l + 4*m, 2*m = 0. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4382635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9142 and 10091462?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -177*t**3 - 4*t + 14*t**2 + 173*t**3 - 27 + 28 in the form h*t**2 + o + l*t + w*t**3 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30643071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 43*m + 4326. Give h(-47).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 2*j**2 - 7*j**2. Let h(g) = -10*g + 8. Let z(v) = 12*v - 10. Let u(y) = 5*h(y) + 4*z(y). Calculate c(u(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x*x*x\/(x\/((x*x\/x**19)\/x))*x**(-2)*(x**(-2\/9)\/x)**(-16) assuming x is positive.\nAnswer: x**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99.6 + 99.8. Let g be 5*6*(-2)\/5. What is the biggest value in -4, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) + (51520\/(-21))\/(-16). Let v(y) = -y**3 - 3*y**2 + 8*y + 7. Let t be v(-5). Calculate the highest common factor of x and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -1350233?\nAnswer: -1350233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -846 - -1289. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ab2c (base 15) to base 7.\nAnswer: -1412343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 + 4.3. Let n = -2 - u. Let f = 17 + -14. Which is the third smallest value? (a) 1\/2 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-15))\/(63\/83475*53)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 25 = -2*q. Does 8 divide ((-16)\/(-6))\/(q\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27166 and 62135?\nAnswer: 5840690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.41 * 41415.\nAnswer: -265470.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/21)\/x**0 assuming x is positive.\nAnswer: x**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 119*u - 1473. Let j be l(25). Solve -j = -98*m + 238 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jddhhdjjddjhjjjhd. What is prob of sequence hjjj?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 509859?\nAnswer: 2549295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/464 (b) -6 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:38 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 33*a**2 + 179*a + 264. Differentiate v(m) with respect to m.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4262743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 1, q: 1, o: 1}. Give prob of sequence oq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kluu when four letters picked without replacement from {l: 8, u: 2, k: 4}.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1250*p + 21260. Determine u(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72.4 - -75.4. Let o = 2.6 - 0.4. Let x = o + -3.2. Which is the third smallest value? (a) j (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 337 + -10165?\nAnswer: -7626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:52 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3 + 135945*z**2 - 12821210*z + 49109400 = 0.\nAnswer: -27283, 4, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.18 and -1.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4500, 7649, 10796, 13941, 17084?\nAnswer: 20225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052725351 to the power of 1\/2, to the nearest integer?\nAnswer: 32446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11244 divided by -2811\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021*u = -374*u + 75330 for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h + 4. Let u(p) = -p**3 - p + 5. Determine -5*j(a) + u(a).\nAnswer: -a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19453 is divided by 9662.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 1\/10*y**4 + 13 - 8\/15*y**3 + 4\/5*y**2 + 0*y. Factor c(q).\nAnswer: 2*q*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1085 divided by 5.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 24, 44, 94, 186?\n\"Answer: 2*h**3 - 3*h**2 - 3*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 (base 9) in base 15?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3\/2))\/(z**(-8)*z))**(-1\/46))**(-35) assuming z is positive.\nAnswer: z**(455\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 464*o**4 + 67361*o - 67361*o + (-6*o**3 + 3*o**3 + o**3)*(-o + 3*o - o).\nAnswer: 462*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3230 divided by -85\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1221 and -3712?\nAnswer: -4532352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817249453?\nAnswer: 53, 15419801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.00604 - -61.99396. Let i = -208 - -144. Let c = i + j. What is the biggest value in 0.5, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 52*r + 119. Let g be t(-21). Let p = -642 - g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -29*v - 185. What is j(-4)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101101000110 (base 2) in base 12?\nAnswer: 405a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 611.44.\nAnswer: 122.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.508 (c) -5 (d) 0.4 (e) -4 (f) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3\/7 + 871*w**2\/7 + 102288*w\/7 + 395280\/7 = 0.\nAnswer: -732, -135, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7319 + 61*m + 7319)*(4*m - 5*m - m + (5 - 5 + 3*m)*(3 - 2 - 3)).\nAnswer: -488*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5055013 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26626243337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, -401, -846?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 194.9831mm?\nAnswer: 194983.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4 - 1055*j**3\/9 - 4819*j**2 - 127687*j\/3 + 87278\/9 = 0.\nAnswer: -17, 2\/9, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from hrhhzhzhhzrzh?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - z - 80, 3*d - 5*z = -0*d + 120. Suppose 5*q + 0*q + 3*l - 31 = 0, -5*q = -5*l - 15. Calculate the greatest common factor of d and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a - 19388 = -71*a. What is the remainder when a is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**5\/2 - 279*f**4\/2 - 1650*f**3 - 7374*f**2 - 14040*f - 9600 = 0.\nAnswer: -80, -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u. Suppose 9*b - 4*b - 20 = u. Suppose -3*c = b*y - 640012, 5*c = y - 31227 - 128753. What is y rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 29 = 4*v, -3*o - 2*o = 3*v - 28. Suppose 2*c + c = 0. What is the third derivative of -z**5 + c*z**5 - z**2 + 2*z**o wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37842 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*x - 65 + 74 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93292.23 milliseconds in nanoseconds?\nAnswer: 93292230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2 = -b, -2*a + 5*a - 17 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 27 = -2*i - 11, -27 = i + 5*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 0.2. Let w = z - 0.3. Let u = -43 + 42. Which is the nearest to u? (a) -5 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 58. Let a be q(-6). Let h = 131 + a. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + 5*d**2 - 1 - 1 + (2*d - 7 + 7)*(2 + d - 2).\nAnswer: 10*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1505*h**2*j*t + h**2*t**2 - 5*h - 7*j*t - j + t**2 wrt h.\nAnswer: 3010*j*t + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(3) + 0 - (sqrt(3) + 3 + sqrt(192) + sqrt(3) - sqrt(3))) + 2)**2 - (-1 + 2 + -5 + sqrt(300)*2)**2.\nAnswer: -1020 + 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*y + 3 = 0, -104*p + 4*y = -100*p - 4. Solve p = -50*s + 364 - 64 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 6. Let m be y(4). Let b(c) = 28*c**2 - 11*c**2 - 14*c**m. Let s(n) = -3*n. Calculate b(s(d)).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1571*z - 151797 + 52824 = 0 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -244\/11 or 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 269 (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 124*s**2 + 302*s + 9. Let n(o) = 56*o**2 + 151*o + 4. Calculate -4*g(l) + 9*n(l).\nAnswer: 8*l**2 + 151*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - -245. Suppose -4*l + 143 - d = 0. Suppose l*p - 2*u - 9 = 7*p, -20 = 5*u. Solve -w + p = -2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:23 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**9\/126 + h**5\/15 + 3*h**2\/2 + 2. Let i(u) be the second derivative of s(u). What is the third derivative of i(w) wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005938 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 4*r - 7. Calculate the remainder when q(7) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740090347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 28. Suppose -5*q + v*q - 25 = 0. Suppose 20 = -q*g, 0 = -2*o - 0*g + 4*g + 58. What is the remainder when 81 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.132983 minus 6811?\nAnswer: -6795.867017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19 - ((-12)\/(-2))\/(-3))\/(-1). Calculate the greatest common factor of 34 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 10*t = -12*b + 150, 2*t + 32 = 3*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 142 + -b?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5103 + 4*v**2 + 0*v**2 + 5097 as j + q*v + l*v**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -115, -289, -579, -1015, -1627, -2445, -3499?\n\"Answer: -5*p**3 - 13*p**2 - 14*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 36*n + 372. Let i(a) = -7*a - 74. Let v(l) = 5*g(l) + 24*i(l). Calculate the remainder when 65 is divided by v(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/6 + 1\/3. What is the tens digit of 61\/5 - 2\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2041824 is divided by 966.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrjv when four letters picked without replacement from {r: 1, j: 1, n: 1, v: 1, q: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(432) - -3*sqrt(432))*-4 + (-1*sqrt(432)*1 - sqrt(432)))*1 + 4)**2.\nAnswer: -419952 + 5184*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278565969 divided by 324291.\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - -5) + 0 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109441.27 + -98912.\nAnswer: -208353.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60933 - 2577. What is b rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*q + 27 = 203*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 306181000 to the nearest one million.\nAnswer: 306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {x: 4, u: 1, n: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let o be 42*(4 + h + -3). What is the greatest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*n**3 - 533*n**3 + 1243*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306096 and 2940?\nAnswer: 10713360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3584155.3 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.07 - 4. Let j = b + -0.37. Let t = 0.1 + j. Are 0 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.088 + -0.072. Let g = 0.04 - w. Let v = 34.9 + -35. Which is the closest to v? (a) g (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b - 38. Let l be w(-7). Solve -4*c = -l*f - 0*c, -5*c + 25 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 69*u**3 - u. Let t be n(1). Let i = 43 - t. Let x = -20 - i. Calculate the least common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 7. Let k be b(9). Suppose 15 = z - 0*z - k*s, -3*z - 2*s = -5. Suppose -z*l = 4556221 + 143779. Round l to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p - 19. Let u = 66 - 62. List the prime factors of h(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*d - 5*d + 139 = 1615 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 37 - 25)*(-2*k + 4 - 4).\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**2 + 0*o**2)*(-o + o - 3*o) + 4*o**3 - o**3 - 4*o**3 + 2*o - 58*o**3 + 10*o**3 + 5*o**3 - 1.\nAnswer: -47*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -252658.396 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1054\/(-16))\/(7\/(-161)). Let t = l + -1508. Calculate the common denominator of 101\/6 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 273, 439, 625, 837?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282857 divided by 9.\nAnswer: -282857\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -23289829\nAnswer: -2\/23289829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40d (base 16) to base 10.\nAnswer: -1037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 532*f**5 + 70787*f**3 - 38865595*f wrt f?\nAnswer: 10640*f**3 + 424722*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p - 3*i = -164, 548 = 3*p - 5*i. Calculate the greatest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = 4*n, 2*n - n = 4*r - 3. Suppose 0 = -p + 3*v - v + 152, -4*p + 4*v + 612 = r. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*d - 12. Suppose -d*w + 14 = -5*w. Let y be (4\/(-7))\/(((-2)\/w)\/(-2)). Solve 14 = -y*t + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9219 is divided by (174\/(-522))\/(1*(-3)\/954).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19153620 or -19153640?\nAnswer: -19153640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1228 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9 - ((13 - 13) + 2)) + -74 - -15\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (20 - 4 - 7) + -6 + -18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 6\/10 + 6\/(-10). Suppose 3*n - 2*m = 311, 3*n + l*m - 245 = 62. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/42*(-171)\/19*(-6)\/(-8).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 - -302. Let j = n - 134. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002411 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g + 0 + 1\/30*g**6 + 4*g**2 + 1\/6*g**4 + 0*g**5 + 0*g**3. What is the second derivative of y(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4*i - 6*h**3 - 338*h*i + 5*h - 9*i - 137 with respect to h.\nAnswer: 4*h**3*i - 18*h**2 - 338*i + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*n - o, -2*n - o + 2 = -4. Suppose 0 = 6*l - 15*l + 207. Suppose 0 = l*k + k - 360. What is the highest common divisor of n and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78 or 841?\nAnswer: 841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17558 in 2, -1, 2\/9, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1271.430078943 + -1271.43. Round k to 6 decimal places.\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - (0 + (-3 - 0))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4, 2\/9, -0.348 in increasing order.\nAnswer: -5, -4, -2, -0.348, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11563 in 1, 1.8, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9607 - 11034.2. Round u to the nearest 10.\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - 4.1. Let h = o - -5.5. Let d = 25 - 99\/4. What is the closest to d in h, -0.5, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.021\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 12*k + 0*k + k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 8*g**5\/7 + 74*g**4\/7 + 186*g**3\/7 + 194*g**2\/7 + 86*g\/7 + 12\/7 = 0.\nAnswer: -6, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3360*o. Let a(r) = -r. Calculate u(a(y)).\nAnswer: 3360*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180297.9um to meters.\nAnswer: 0.1802979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 93 - 224 = 3. Which is smaller: q or 81?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l. Is n(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 2*o**2 - 16. Let i = 25 + -20. Let z(t) = 6*t**3 - 5*t**2 + 32. Let j(s) = i*x(s) + 2*z(s). Differentiate j(f) wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-8)\/3) + (-20)\/12. Suppose 2*o = c + 1, 4*c = 6*o - 4*o - 4. Put 5, o, r in ascending order.\nAnswer: r, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 158 = 4*c + i, -3*i = 3*c + 111. Let t be (-36)\/42*1*c. Suppose 4*g - t = g. What is the greatest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*f - 4 = 0, -1 = -4*u + 5*f + 10. Which is greater: 4 or u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 - 4*v**4)*(0 + 0 - 2 + (2 - 3 + 3)*(3 - 2 + 0) + 132 - 177 + 90).\nAnswer: -180*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37075899 is divided by 1771.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18081658?\nAnswer: 2, 7, 1291547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(4\/5)*x*x)*x)*x)**22 assuming x is positive.\nAnswer: x**(308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-21))\/(3\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -2)\/(-2*1). Suppose q = 4*s + 2*j + 28, -2*s + 3*j - 6*j - 18 = 0. What is the smallest common multiple of 5*2\/5 - s and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 + 182. Does 33 divide 18\/27 - (-8135)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-4\/3))*b*b**(-1))\/(b**(-3\/4))**36 assuming b is positive.\nAnswer: b**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**3 + v**3 - v**3)*(397*v - 1388*v - 12311*v) to the form m*v**4 + u*v**3 + g + q*v + c*v**2 and give m.\nAnswer: 26604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 7*u**2 - u - 2. Determine c(5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 3. Let x be b(-3). Suppose x = 3*v + 13 + 11. Let c(a) = -3*a - 9. What are the prime factors of c(v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, -6, 2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {o: 9, t: 2, w: 3, b: 2, i: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17223 - 127648 = -12*z + 40037. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/3737 or 1?\nAnswer: -16\/3737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*w = -178*w - 3. What is the hundreds digit of -3 + (6 - w) - -916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/90 and 995\/(-1800)*-4 + -1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3*x**3 - 7460*a**2*x**3 - 3878*x**3 - 2*x - 2 wrt a?\nAnswer: 3*a**2*x**3 - 14920*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-34)*m)\/m*m**(-32) assuming m is positive.\nAnswer: m**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/438 and -58\/1050507.\nAnswer: 153374022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 17*r + 74. Let u(w) = -19*w - 72. Let t(h) = -4*a(h) - 3*u(h). Does 21 divide t(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -5, -58\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - b**2 + 10. Let x(i) = -3*i**3 - 2*i**2 + 21. Let a(w) = -5*p(w) + 2*x(w). Suppose 0 = g - 2*g. Determine a(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -3222193.\nAnswer: 3222199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -11*i**4\/24 - i**3\/6 - 7*i**2. What is the tens digit of o(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 9*k - 16 = -3*z, -4*k - 5*z = -38 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -a9785?\nAnswer: a9782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 853\/33 + -77\/3. Let x be ((-8)\/(-30))\/(16\/(-12)). Which is the smallest value? (a) x (b) -2 (c) j (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + d - 21, -3*q + 10 = 3*d - 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + -84. Let u = t - 24. Suppose -u = -2*q - 2*q. Solve -5*i = -z + 1 + 4, -4*i = 3*z + q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-72)\/60)\/(3\/(-100))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.2 + -4. Let b = -131\/6 - -22. Let p = 0.1 - -0.2. Put p, b, j in descending order.\nAnswer: p, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17702001 and -0.32?\nAnswer: -5664640.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -62801, -251197, -565191, -1004783, -1569973, -2260761, -3077147?\n\"Answer: -62799*g**2 + g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81.99983 + -82. What is r rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y. Let d(c) = 13*c. Let h be d(1). Let j(s) = -8*s - h*s + 3 - 4. Let k(m) = 2*j(m) + 11*o(m). Determine k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 841, 2 in decreasing order.\nAnswer: 841, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7628 - -7631. Let c be 1\/(-1*(-4)\/132). Do c and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12939 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 2 = -4*n. Is -6 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*x - 442 - 268 = 0. Put -3, 3, 5, x, -7 in descending order.\nAnswer: x, 5, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.155007kg?\nAnswer: 4155007000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -282\/1087, 3\/7, 5?\nAnswer: -282\/1087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.5 (b) 192 (c) -1 (d) -180 (e) 3\/7 (f) -1\/7 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*b - 2 + 142*b - 76*b - 234*b**2.\nAnswer: -234*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*o + 52, -34*v = -36*v - 2*o + 44. Solve -5*k = v - 30 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -0.144 (c) -0.0213 (d) -553 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*f - 8816 = -175*f. Put -1, f, 0, 4 in descending order.\nAnswer: f, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from {w: 11, g: 6, o: 2}?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {o: 2, j: 4, g: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(((h*h**(-2\/27)*h)\/h)\/h*h))**(8\/11)\/(h**(-7\/4))**(-2\/7) assuming h is positive.\nAnswer: h**(167\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:43 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8798 - -0.0302. Let d = 0.09 + s. Let o = 4 + -1. What is the third smallest value in -5, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 313 + -314. Suppose 0 = 3*p - 0*p + 4*s + 21, -p = 5*s + 7. What is the nearest to b in p, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 10*s + 20*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -4*t. Suppose 0 = v + 2*v + 5*q - 25, 0 = -v + 2*q - 10. Suppose -t*b - 579 = -5*w, -w - 3*b = -v*w - 112. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-27)*(-39)\/1183*28.\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (9 - -6)) + (-16 - -42).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (-35 + 35 - 7*f)*(-29 - 81 - 80) + 4*f - 3*f - 2*f in the form v + u*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 695837 and 81567?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.401062184 * -0.5.\nAnswer: -0.200531092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/((sqrt(88) - -1*sqrt(88))\/sqrt(11)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3 - 225052779.1?\nAnswer: -225052788.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - (sqrt(112) + (sqrt(112)*2*1 + sqrt(112) - sqrt(112))))\/sqrt(8)*1)\/(6*sqrt(28)\/sqrt(4) - sqrt(63)*-1))**2.\nAnswer: 8\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.90731 (b) -0.2 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 11274555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:26 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gktdkt. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*j - 5*r, 2*r - 8 = 5*j - 24. Let u be (-24)\/(-14) + (-6)\/(-21). Let b = u - 0. What is the remainder when j is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:20 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 + 6*q + 2. Let x be (-21 - -21) + (-1 - -45). Let a(v) = -v**3 + 7*v**2 + 6*v - 4. Let o be a(7). Let t = x - o. Calculate c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/130 and 18\/7.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 249217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 7. What is g(-13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -88. Suppose 45*x = 44*x - i. Is x bigger than -13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**9\/10584 + g**8\/5880 - g**7\/2940 - g**6\/1260 + g**3\/3 + 2. Let w(r) be the third derivative of o(r). Factor w(y).\nAnswer: 2*y**2*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.6 - 16.545. Let v = d - -2. Round v to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-4 + (15 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26656220, 53312441, 79968662, 106624883, 133281104, 159937325?\nAnswer: 186593546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -20 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 22*i = 6. Suppose -i*k + 88 + 48 = -2*v, 0 = 3*k - v - 196. What is the greatest common factor of k and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*k**6 + 7*k**5 - 891*k**2 wrt k?\nAnswer: 22560*k**3 + 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -0.03, 2\/3, 1\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -292 (base 14) to base 15.\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = d + h, -4*h = -4*d + 72. What is the units digit of 8\/(-28) + 2804\/d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123921425.\nAnswer: 5, 4956857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b - 1. Let k(o) = 2*o + 21 - 21 - o. Give c(d) + 4*k(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -39*o**2 - 11*o + 10. Give p(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 9) to base 12\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*r - 193*r + 4*b - 28791 = 0, -86357 = -3*r + 4*b. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2301 = y - 2*t, -22*t = -27*t + 15. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5465801700 rounded to the nearest 1000000?\nAnswer: -5466000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(44) + 2 + sqrt(44) - sqrt(220)\/sqrt(20).\nAnswer: 6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/15944145 and -33\/85.\nAnswer: 271050465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*a + 82*a - 32*a**2)*((1 - 1 + 1)*(-5*a + 0*a + 2*a) + 5 - 2*a - 5 + a + a - 4*a).\nAnswer: 224*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*p - 6, -12 = 18*h - 22*h - 3*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -1. Let c(f) = f**2 + 5*f + 8. Let k(a) = 4*a**2 + 19*a + 32. Let r(u) = 9*c(u) - 2*k(u). What is the units digit of r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(2*-1*sqrt(5)) - sqrt(36)\/(sqrt(12) + sqrt(12) + sqrt(48))*-1)**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 p when three letters picked without replacement from tltlvljpjplj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.97496962 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*4\/(-6)*-3. Suppose m - 13 = a, -71 = -3*m + 2*a - 27. Let r(x) = m*x + i*x**2 - 18*x. Let b(h) = -2*h**2. What is b(r(q))?\nAnswer: -512*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560) + (3*sqrt(560)*-4 - sqrt(560) - sqrt(560)) - sqrt(560)*2*1)\/((sqrt(5)*1*5 - -3*sqrt(5)*-1)*-5).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -324, -322, -320?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 12. Calculate the common denominator of ((-6)\/z)\/((-4)\/(-285)) and -74\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 244, 971, 2186, 3907, 6152, 8939, 12286?\n\"Answer: 3*n**3 + 226*n**2 + 28*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 40 = 2*j, -4*j - 453*o + 457*o = -24. Let p(z) = z**2 + 2*z + 1. Let t be p(-3). Solve -4*w - 4 = 0, 2*w + j = 4*k + t*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -3373\nAnswer: -3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8087\/12558 + 1\/897. Let j = c - 227\/28. Let i = -1 - 7. Is i less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2062139 and 825841?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 5. Let t(a) = -5*a + 5. Let p = 2864 + -2860. Determine p*h(c) + 5*t(c).\nAnswer: -c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 45. Let h(b) = -10*b. Let w(v) = 12*v. Let a(r) = -5*h(r) - 4*w(r). Give l(a(c)).\nAnswer: 2*c + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-9) + 1)*147. Let q = -3060\/107 - 66941\/963. Let z = v - q. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.276 - -194.276. Let t = 193.99855 - h. Round t to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 10735466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 1.1. Let q = -0.4 - r. Suppose -k = -x - 5, -4*k + 10*x = 12*x + 16. What is the nearest to k in -5, q, 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4569 is divided by 215?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013313407 rounded to 6 dps?\nAnswer: -0.001331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 5*g + 0*g)*(-1 - 2 + 1) + (-5*g - 5 + 5)*(1 - 2 - 2) as c + w*g and give w.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*(i\/(i\/((i\/(i\/(i**21*i)*i))\/i)))\/i)\/(((i\/(i*i\/(i\/(i\/i**(-6\/17)))))\/i)\/i**(-1)))**(-1) assuming i is positive.\nAnswer: i**(-363\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-12))\/(-4)*2295\/(-900)*-2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 7. Give s(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0\/3) + 2. Suppose 5 = s*n - 59. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181489733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132.581191 rounded to one dp?\nAnswer: 2132.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + 16*c - 4*j - 64 = 0, -7*j = 4*c - 0*j + 73 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 141276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3159918?\nAnswer: 2, 3, 163, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-72)\/48*4\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/8 + -1)\/((915\/(-23180))\/(6\/(-57))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 4*o**3 - 4*o**3 + o**3 - o**3 - 3*o**3 - o**3 + 0*o**3 - o**3 + (-3*o**2 + 3*o**2 - o**2)*(-2*o + 2*o - o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 9:27 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289605 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/(a\/(a\/(a\/(a*a*a**(-1\/2))))))*a)**(-12)\/(a**(1\/4))**35*(((a*a\/a**(-6))\/a)\/(a*a*a**(-2\/9)))\/((a*a**(1\/2))\/a)**(-43) assuming a is positive.\nAnswer: a**(1295\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 56*g**2 + 42*g - 1594. Determine m(-55).\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 3. Let y be c(-8). Find the second derivative of -y*n + 9*n**3 - 2*n + 2*n - 7*n**2 + 4*n - 286 wrt n.\nAnswer: 54*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449 = -92*o + 80 - 735 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 + -131.99699. What is f rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2792, 2\/3, 5, -0.4, 0.049?\nAnswer: -0.2792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 26.908. Let o = q + -8.992. Let a = o + 8.9. Is -3 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 960 - 951. Let h = -0.01 - -0.01. What is the closest to h in 5, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -30. Let n = u + 11. Sort n, 5, 0 in decreasing order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 7293 = 38*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9556126.37 to the nearest 10000.\nAnswer: 9560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (34\/3)\/(5\/(-45)*6). Which is smaller: r or -238\/15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*d**3 - 3*d**2 - 185*d**3 + 373*d**3 - 13*d + 4 to v*d**2 + r*d**3 + q*d + a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.1620206\nAnswer: -0.04860618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqs when three letters picked without replacement from pqqqvqgqqqvqgqqs?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/5*r**2 + 3\/5 + 0*r = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5680103?\nAnswer: 11, 13, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5)\/(-5))*70\/42.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 23 = -27. Let z(w) = w**2 - 3*w - 7. Let x be z(y). Suppose -8 - 11 = -v + 5*f, 49 = 5*v - 2*f. Calculate the highest common divisor of x and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -5 (b) 0.5 (c) 128\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -2\/5, -732\/13, 6, -12.7, 1?\nAnswer: -732\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -232?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2\/3 + 11292760*x\/3 + 7970401776100\/3 = 0. What is x?\nAnswer: -1411595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -105720.579\nAnswer: -10572.0579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9}. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 u, and 2 v when four letters picked without replacement from dsvutyd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g + 1432575 - 1432791 = 0. Let c(l) = l**3 + 7*l**2 + l - 8. Calculate the remainder when c(-6) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/26*(-4)\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 2*v, -272 = -2*m + 4*v. Suppose -4*i - 3*w + 133 = 0, 4*i - w - m = -3*w. Calculate the remainder when i is divided by (-116)\/(-14) - 4\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-23 + 41 + 72)*((2 + 2 - 5)*(-5 + 0 + 0) - 4 + 3 + 3)*(5*x - 4*x + x).\nAnswer: -2520*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, d: 4, l: 1, i: 1, a: 4, p: 4}. What is prob of sequence dl?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j**2 + 231*j + 20. Let q(k) = 6*k**2 + 229*k + 16. Calculate 3*l(d) - 4*q(d).\nAnswer: 3*d**2 - 223*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**2 - 5*t - 3. Let y be f(-1). Suppose 4*k - 4 = y, -2*k = -2*d + 2. Solve d*w + 1 = 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 4}. What is prob of picking 2 y and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 6*k**2 - 2*k + 1. Let z(y) = -y**3 + y**2 - y + 1. Determine h(p) - z(p).\nAnswer: 2*p**3 + 5*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 239362261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3569421 is divided by 554?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4 - 90*s**3 - 675*s**2 - 420*s + 1188 = 0. What is s?\nAnswer: -18, -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11974 - -139451.\nAnswer: 151425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -1.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1313, 0, -3, -2, -7, 5 in descending order.\nAnswer: 1313, 5, 0, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*l = -277*l - 1192*l - 33*l + 42330 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.72305 or -4?\nAnswer: -11.72305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/5 - 206371*i**3\/5 - 2129759012*i**2 - 159692924076*i\/5 - 383245188624\/5 = 0.\nAnswer: -103178, -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + x**2 + x + 1. Let q be w(-1). Suppose -q*h - 26 = -4*h. Suppose 2*m + 2*s - h = -m, 5*m = -s + 34. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 61 = -7*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12321 and 1947384?\nAnswer: 72053208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 9*g + 8. Let v(r) = r**2 - r - 2. Let k be v(-3). Let d be 506\/55 - 2\/k. Calculate the lowest common multiple of 22 and a(d).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u + 20. Let y(l) be the second derivative of l**4\/6 + l**3 - 3*l**2\/2 - 4*l. What is the tens digit of y(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -136*b + 652. Determine r(0).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*z + 2 = -556*z + 4922 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 79*h**2 - 888*h - 162. What is u(89)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*i - 12, -1 + 7 = 2*i. Solve -3*w = 4*a - 11, n = -w - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/5))\/(i\/(i\/i**6)*i))\/(i**6*i**6*i) assuming i is positive.\nAnswer: i**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106291 is divided by 14846.\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1908\/43 + -3859\/86. Suppose 0 = -10*j + 5*j + 15. What is the closest to -1\/2 in -0.2, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70cd4 + -4?\nAnswer: 70cd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2)\/((-12)\/3) - -7. Let r be -9 - (a\/(-21) + 32\/6). What is the second biggest value in -2\/7, r, 0.3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1063.15 - 350750164.\nAnswer: -350751227.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202811 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 17777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -1.8, -10, -1\/6, 0.3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2506068 and -23\/4733684.\nAnswer: 42603156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -64 + 36 + 0 + -7 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17590 - 9791. Does 91 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let v(o) be the second derivative of -o**5\/20 + o**4\/4 - 26*o. Determine v(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 93642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 2349410?\nAnswer: 2349413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24781 - 2724. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + -1 + (-70 - -63)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/19 + 68*x**2\/19 + 762*x\/19 + 2808\/19 = 0. Calculate x.\nAnswer: -13, -12, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2112*k**4 + 2*k**3 + 3538*k?\nAnswer: 25344*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 413, 522, 667?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229 and 8?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 2, f: 2}. What is prob of sequence ts?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*s - 7, -4*s - 24 = -3*u + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.1 - 17. Let s = -1.1 + v. Let o = 0.36 + -0.16. Which is the nearest to o? (a) s (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6525288 divided by 3388\nAnswer: -1926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (44\/(-33))\/((-68)\/(-36) - 2). Suppose 0*f = -4*f - 4*k + 516, -s = 3*k. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/10466 and 115\/31398?\nAnswer: 31398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2))\/p**3*p**6\/p**(-9))**28 assuming p is positive.\nAnswer: p**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-36)\/s**(-11))\/(s**(2\/89))**39 assuming s is positive.\nAnswer: s**(-2303\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -bb (base 12) to base 2\nAnswer: -10001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - -2. Suppose -l = x - 0*x - 3*u, 15 = 3*u. Determine g so that 0 + 0*g**2 + 2\/3*g**4 + 0*g + 4\/3*g**x - 2\/3*g**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/4)\/(5\/((-30)\/(-4)) + 10556\/(-9048)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/2)\/(62 + -63). Sort p, -14, 0.4, 5 in ascending order.\nAnswer: -14, p, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -20. Let j be 4 - p\/2*4. Suppose u = 4 + 24. Calculate the highest common factor of u and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 5. Suppose 5*m - 12 = 3. Suppose -m*o + 0*r - 2*r = -6, -5*r = -15. What is f(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129211865411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 3*i + 0*i)*(2 + 1 - 1 - 6 + 3 + 2 + (1 + 1 - 1)*(-1 - 1 + 4) - 1 + 4 + 0) to y*i + n and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33120)\/(-3)*700\/(-21). What is i rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4 + 2*a**3 - 162107996*a**2 - 2*a + 214487828.\nAnswer: -24*a**2 + 12*a - 324215992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 507883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1206 divide 256695552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 2*f**2 + f. Let x be a(2). Let p be (9\/(-66))\/(x\/8). Let i be 20\/(-6)*59\/(-590). What is the nearest to i in 1\/6, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(250)\/(sqrt(5)*1) + 4).\nAnswer: -30*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5 + 27*q**4 + 138*q**3 + 260*q**2 + 168*q = 0 for q.\nAnswer: -21, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2*f + 1, 4*f - 124037*o + 124031*o = 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 137 = -93 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161736, -647110, -1456074, -2588634, -4044796?\nAnswer: -5824566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 364\/10 + 9\/15. Let d(x) = -3*x**2 - 2*x - 1. Let m be d(-2). Let a = r + m. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 3*d + 1. Let w be v(-2). Suppose -l + w = 6. Let c be 2 + l\/((-1)\/(-19)). Calculate the highest common divisor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*z + 16. Let i(h) = -h**3 - 7*h**2 + 7*h - 8. Let v be i(-8). Suppose 0 = 3*o + a - 3 - 0, v = 3*o + 2*a. Solve o*y = 3*y + z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 133?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 - 34?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 2)\/(-3) + -248. Let y = 130817\/22 + -5943. Find the common denominator of y and i\/(-20)*(-12)\/(-18).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9715 + 302272*l**2 - 11*l - 302277*l**2 + 491*l = 0 for l.\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 4 in decreasing order.\nAnswer: 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7441, 8769, 10097, 11425, 12753, 14081?\nAnswer: 15409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 p when four letters picked without replacement from {f: 1, p: 3, z: 13}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g + 6. Let f be w(-14). Find the common denominator of -13\/6 and (5 + 238\/(-48))\/((-1)\/f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.2 - 0.1. Let v = -11.1 + t. What is the closest to -0.1 in 1\/4, v, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 8:08 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is bd3c (base 15) in base 16?\nAnswer: 9cab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 6*z**2 - 5*z. Suppose 2*y + 4*s + 2 = -0*y, -5*y + 2*s = -19. Let w = y + 2. Let u be c(w). Solve 2*h = -u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3088*r - 1046*r - 1037*r - 3 + 3 - 1071*r.\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/8 - 42\/(-8). Let m = 12 + p. Suppose 4*v = 5*v - m. What is the highest common divisor of 45 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 + -50. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-4410))\/(3\/(-21)) + 831\/15 + -2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/(-45))\/(1\/(-20)*-42))\/2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 4*n**2 + 4*n. Let c be r(2). Suppose -o - 7*o = c. Let b be o\/4 - 3*484\/(-24). Calculate the greatest common factor of b and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -56 (b) -21 (c) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 659647631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auupauu. What is prob of sequence ap?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 2, q: 7, e: 2, h: 5}. What is prob of picking 1 e and 1 j?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6478 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2\/7 (c) -1\/4 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250853 (base 10) in base 6?\nAnswer: 5213205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8730 = -181*o + 187*o. Is 97 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 330\/(5\/(-1)). Let q = u - -140. Let j = q + -9. What is the remainder when j is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (1 + 0 - 10 - (-440 - -439))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23986558, 0, 4, 1?\nAnswer: 23986558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5301*c = -516*c + 866733 for c.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103237792 and 1351280?\nAnswer: 516188960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157 + 2*t - 28*t**3 - 11*t**3 - 3*t + 2*t**4 + 157 to q*t**3 + r + s*t**4 + j*t**2 + u*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6528918316.3 - -0.08.\nAnswer: -6528918316.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 74. Solve -3*u = -y*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. What is the highest common divisor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11351, 11452, 11553, 11654, 11755, 11856?\nAnswer: 11957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.4. Let z = 0.6 + w. Let d = 2910\/13 - 224. Which is the nearest to z? (a) -4\/3 (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207000 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 467 or 465?\nAnswer: 465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4 + 1)*(176 - 89600\/504)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42230.10535 to the nearest 10.\nAnswer: 42230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**6\/120 - 3*j**5\/20 + 11*j**4\/24 - 4*j**3\/3 - 2*j**2. Let z be y(8). What is the greatest common divisor of z and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1053) + -3)*1)**2.\nAnswer: 162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*k)*(4*k**2 + k**2 - 3*k**2 + (2*k**2 + k**2 + 2*k**2)*(-1 - 3 + 2)).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 18 = c, -1227*c + 1232*c - 36 = -3*y. Put -1909, c, 1, 5 in descending order.\nAnswer: 5, c, 1, -1909","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2221 - 2213.072. Let r = -0.028 + g. Round r to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**5 + 9*q**3 + 145*q**2 + 9. Let n(t) = -t**5 - 2*t**3 - 36*t**2 - 2. Let f(u) = 9*n(u) + 2*s(u). Find the third derivative of f(y) wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 31*g**2 - 64*g + 51. Let z(k) = 32*k**2 - 64*k + 52. Suppose 0 = h - 2*b - 6, -4*b = b + 25. Let i(p) = h*f(p) + 3*z(p). Factor i(x).\nAnswer: 4*(x - 3)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7568149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 7*r - 8*r)*((0*r - 4*r + r)*(5 + 1 - 4) + (-18 + 10*r + 18)*(2 - 4 + 3)) in the form g + n*r + a*r**2 and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429381, 858712, 1288047, 1717386, 2146729?\nAnswer: 2576076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 1 = 4*k + 2*h, 2*k - 1 = -h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 816 by 4.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 greater than or equal to -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 3*h - 14 + 2*h**3 + 16 - 2*h**4 in the form c*h + n*h**4 + z*h**2 + y + u*h**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 132865992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:15 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 15 = 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-176)\/(-660))\/(48\/(-200) - (-1 + 1)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 - 2217*x\/2 - 10098.\nAnswer: 3*(x - 748)*(x + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2615 is divided by 101.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -685?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -31*a**3 + 1392*a**2 + 133*a + 97. Calculate n(45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87431, -87410, -87389?\n\"Answer: 21*y - 87452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -591?\nAnswer: -5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -30*v. Let c(j) = 18*j**2. Calculate w(c(f)).\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 0, 0 = b - 4*b - k + 5. Let a(s) = s - 4*s + b*s. Let f(y) be the third derivative of -y**4\/12 + 2*y**2. Calculate a(f(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 8*i + 10. Let v be d(8). Suppose 4*f - b = v, -b + 5*b - 11 = -f. Factor 0*o**f + 6*o**2 - o - 4*o**3 - 3*o + 2*o**3.\nAnswer: -2*o*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -6. Suppose -f*h + 49 = 3*t + 12, -4*h - t + 59 = 0. Does 27 divide 7\/(h\/(-240))*(-52)\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3645, -3646, -3645, -3642?\n\"Answer: a**2 - 4*a - 3642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359209 divided by 5.\nAnswer: -359209\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -388 + 111. Let j = g + 277.04. What is the third smallest value in 0.3, -0.2, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2183 is divided by 83?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1928109 + 0.1928. Round s to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140685803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 10*l**2 + 22*l + 12. Let w(u) = -u**3 + 4*u**2 + 9*u + 5. Give 5*g(b) - 12*w(b).\nAnswer: 2*b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9408)\/(-30576))\/(4\/(-2))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 - 2. Let q(p) = -p**2. Suppose 0 = -u + 17 - 12. Suppose 6 = -u*z + 4*z. Let s = 10 + z. Give s*q(i) + b(i).\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 692 and 111408886?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -25 + 121. Calculate the smallest common multiple of 18 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16100, -3, 4 in decreasing order.\nAnswer: 16100, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37\/5 of a minute?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-528)\/(-396)*(-9)\/16*4*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90053, 90145, 90227, 90293, 90337, 90353?\nAnswer: 90335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than 125?\nAnswer: 124.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 6, -0.4, 313, -54?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3895*i - 59945. Let t(u) = -31*u + 472. Let m(z) = 3*b(z) + 380*t(z). What is m(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -3*1*sqrt(320) + sqrt(320))*-1 + 1 - ((0 + sqrt(320)*1 - sqrt(320)) + sqrt(320) + -3 + 3 + sqrt(320)))**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13964880 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -6\/49, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99 + -45 - 51) + -2 + -15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 241 + -111. Let j = -76 + g. Let h = 53.8 - j. What is the closest to -3 in h, 3\/4, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156 + -84. Let u be (c\/(-32))\/((-1)\/4). Are 9 and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17225?\nAnswer: 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 930.38?\nAnswer: -186.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 - 18*m**4 + 113*m**3 - 304*m**2 + 336*m - 128.\nAnswer: (m - 8)*(m - 4)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(((-6)\/8)\/(267\/(-2492)))?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -752 + -2172. Let j = 4461 + u. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 22. Let o = -1.9 + 2. Let f = -13 + 8. Which is the nearest to o? (a) k (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85837 + 42489233\/495. What is the common denominator of d and 37\/2295?\nAnswer: 25245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.2. Suppose -2*l - 10 = -2*d, d - 18 = 3*d + 5*l. Let p be (d + (0 - -2))*1. Which is the second biggest value? (a) 1 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -735.7404 to the nearest integer.\nAnswer: -736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -26, -3, -50, 624 in increasing order.\nAnswer: -50, -26, -5, -3, 3, 624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 9. Let d be k(13). Let u = 0 - d. Suppose -u*t + 3*f = -126, -2*t + f + 76 = 6*f. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*d = -253 + 54 + 1921 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 10:53 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131540446 to the nearest integer?\nAnswer: 11469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -19. Let a = z + -8. What is the derivative of 3 - 2 - 10*x + 7*x - a wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 35*r**3 - 6*r**2 + 8*r - 4. Suppose -1 = 18*w - 55. Is 21 a factor of d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39789771 divided by -18?\nAnswer: 13263257\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - t. Suppose 0 = y - 2 - t. Suppose y*w - 4*w + 8 = 0. Solve 0 = -x + w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 + 163. Let l(s) = 87*s**2 - 6*s + 22. Is l(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -33221322?\nAnswer: -33221333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, f: 6}. What is prob of picking 3 z and 1 f?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2, 3, 0, -2\/165 in decreasing order.\nAnswer: 3, 0, -2\/165, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -3*z**7\/140 + z**6\/20 - z**5\/30 - 7*z**2 - 3*z. Let a(b) be the first derivative of o(b). Suppose a(i) = 0. What is i?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48949032 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -91 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)\/g**(-1)*g\/(g\/g**(-3\/5))*g**(-4)*((((((g*g**(5\/4))\/g)\/g)\/g)\/g*g)\/(g**(1\/2)*g))**(-36\/11) assuming g is positive.\nAnswer: g**(359\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n + 22. Let b be r(-7). Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 28. Let r(m) = -10*m + 105. Let b(p) = 15*q(p) - 4*r(p). Let n(f) = f. Calculate -b(u) - 3*n(u).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/25 in -13, -5, -1\/6, -0.3, 6.9, 6.7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -138*x - 11715. Determine r(-98).\nAnswer: 1809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8417 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -c580 (base 16) in base 12?\nAnswer: -25314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 8*n. Let w(c) = c - 5. Let v be w(4). Let g = 7777 - 7776. Let h(s) = -s**3 - s. Determine g*h(k) + v*y(k).\nAnswer: -2*k**3 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67128 + -34608. Does 34 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-27)\/(-5))\/(49\/980) is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -22. Suppose -q - i = -13. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.102 - -4.102. Sort o, 0.3, -1, -3 in decreasing order.\nAnswer: o, 0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuy when three letters picked without replacement from uyuyuuuuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 7. Let m be o\/(-3) - (-5)\/6. Which is smaller: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -107, 3 in descending order.\nAnswer: 8, 3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4540*t + 9078*t - 4530*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) - 2 - 2. Let z(f) = -5*f**2 + 4*f + 4. Let l(t) = 4*t**2 - 3*t - 4. Let s(c) = -4*l(c) - 3*z(c). What is s(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 0*q**2 - 4*q**2)*(-2*q - 2*q + 5*q) - q**3 + 0*q**3 + 0*q**3 + ((-4 + 3 + 3)*(3*q - 3*q + 2*q) + 3*q + 7*q + 0*q)*(-2*q + 2*q + q**2).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -19338?\nAnswer: 19334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2367 (base 11) to base 4.\nAnswer: -300122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1546 - -6079\/4. Let z = 259\/12 + u. Let q = z + 5. Which is the second biggest value? (a) 3 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = 1. Suppose 0*z + h*z = 105. Calculate the highest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -70, -73, -76, -79, -82?\n\"Answer: -3*s - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*l - 21. Let q(n) = -2*n - 35. Let a(c) = c + 12. Let m(h) = -7*a(h) - 2*q(h). Calculate the smallest common multiple of m(-10) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30243*18932.\nAnswer: 572560476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10841\/5 - -53529\/20. Let r = -507 + i. Suppose -r*j**5 + 5\/2*j**4 + 0*j**3 + 5\/4*j + 0 - 5\/2*j**2 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 8*t = -8, 3*v - 16 = -4*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*k - 4. Let p be (4 - k - 2) + -1. Suppose -2*y + 7*y - 7 = l, -p*l = 4*y - 17. Solve -n = y*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*k, -k + k - v = -2*k - 3*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 1:18 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43659733.\nAnswer: 13, 3358441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + 4*n**3 + 8252 - 4126 - 4127 + 24*n**2 to the form b*n**2 + p*n**3 + r*n + u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -448*m**3 - 14*m**2 - 8 wrt m?\nAnswer: -2688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20050?\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 3447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7293901 take away 12.5977?\nAnswer: 7293888.4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1222589584 by 9032.\nAnswer: 135362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/3 + 850*w**2\/3 - 4064*w - 14760 = 0. What is w?\nAnswer: -3, 18, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -2\/3, 8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 268*m - 1. Let y(d) = 36*d**2. Give f(y(h)).\nAnswer: 9648*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23829 and 13?\nAnswer: 23842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364548 is divided by 182191.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfffgfggfgffg. Give prob of sequence gf.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 2:16 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:46 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s - s)*(8 - 2 - 2*s - 10).\nAnswer: 4*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 78 = -3*u. Calculate the remainder when u is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11325 = -2*r + 4*z - 3*z, -3*z = 3*r - 17010. Is (-4)\/6 + (r\/(-3))\/(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 165*z - 163*z + 101 + 145 + 321. Calculate the remainder when c(0) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 264, -5, -36, -9, -3 in ascending order.\nAnswer: -36, -9, -5, -3, 1, 4, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-2*b + 0*b + 4*b) - b + 3*b - b + (2*b - 2*b - 2*b)*(5 - 2 - 2) - 2*b + b - 6*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638910.\nAnswer: 2, 3, 5, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/33 in -7, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 163.\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 3 (b) -1\/3 (c) 2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:11 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 7315547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2862*g*k**4 - 12*g*k + 24*g - 23468*k**4 + 24*k + 294 wrt k.\nAnswer: 34344*g*k**2 - 281616*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.7 - -6.2. Which is the second biggest value? (a) -5 (b) -1\/8 (c) 8 (d) 6\/5 (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 7*n**2 - 10*n + 27. Let u be b(6). Factor -14*s**u + 21*s + 11*s**3 - 2 + 20.\nAnswer: -3*(s - 3)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -114 + 64 - 43 - -13?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*c**3 - 15*c**3 - 107*c**3.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let q(u) = 2212919404*u. What is q(i(v))?\nAnswer: -2212919404*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11188712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4648*b - 4652*b + 11 = 3*w, 3*b - 7*w - 36 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 21*g = -1848. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7\/(-175))\/((-8)\/(-470)) and -11\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h**2 + 2869*h - 101276. What is f(-391)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*f - 235 = 333 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*100.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1661, 3345, 5029, 6713, 8397?\nAnswer: 10081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 15*c**2 - 56*c - 9. Give z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.4, 2, 0.5, -4\/5 in descending order.\nAnswer: 15.4, 2, 0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 13*g + 284*g**2 + 7*g - 38*g to p + y*g + i*g**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, -5, -7 in decreasing order.\nAnswer: -5, -7, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-405405)\/51597*14\/(-12).\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.201? (a) -0.011 (b) -0.1 (c) -4\/3 (d) 3 (e) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0*t**4 + 0*t**5 - 1\/30*t**6 + 3*t**2 + 0 + 0*t + 1\/3*t**3. Find the first derivative of i(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from {k: 1, a: 1, j: 2, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 789, 1428, 2067, 2706?\n\"Answer: 639*w + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 6*w + 94*b - 99*b, 0 = -w - b - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 2*y**4 + y**2 + (597*y + 2779*y + 10640*y - 1051*y + 7238*y)*(-3*y**3 + y**3 + 0*y**3).\nAnswer: -40408*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685045281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175.7704725us to weeks.\nAnswer: 0.00000000029062578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-3 - 2))*8\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/30? (a) 2 (b) -1\/4 (c) 5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5048*j**6 - 917*j**4*q + 2*j**2*q - 3*j**2 - j*q - 113250*j - 2*q wrt j.\nAnswer: 605760*j**3 - 22008*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:42 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, u: 3, s: 1, r: 2, t: 4}. What is prob of picking 2 t and 2 r?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 507, -2, -5, -1, 3, 74 in decreasing order.\nAnswer: 507, 74, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 + 416*u**2 + 4726*u + 4312 = 0. Calculate u.\nAnswer: -196, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 68*g + 414. What is m(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13201 + -1?\nAnswer: 13200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*s**2 + 107 - 107)*(5*s + 611*s**2 + 1231*s**2 - 148*s**2 - 5*s) in the form n*s + p*s**3 + h*s**4 + d*s**2 + t and give h.\nAnswer: 54208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -67*t**5\/120 - 5*t**4\/12 - 5*t**3\/3 - 7*t. Let m(l) be the second derivative of a(l). Is 31 a factor of m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37677128*r**2 + 17320607 with respect to r.\nAnswer: 75354256*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:11 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.188485\nAnswer: 0.37697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 45, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/7020 and 29\/10159110.\nAnswer: 60954660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -598 by 598.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + 189 + 30 + -121.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5 = -5*o, 2 = -2*m + o - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-17 + -2) - (-4 - (-16 - -31))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 319 = -26. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 18 - 29)*(-3*m**5 - m**5 + 3*m**5)*((2 - 1 + 0)*(-2 + 4 + 0) + 5 - 1 - 3).\nAnswer: 111*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003111 to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/5*(-3 + -7)*1. Solve -5 = -j*z + z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**3 + 14*y**2 - 3*y - 87*y**3 - 11*y**2.\nAnswer: -73*y**3 + 3*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.1, 4\/7, 6, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 91*k + 57. Let o(j) = 1242*j. Determine o(m(u)).\nAnswer: 113022*u + 70794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -16.2. Let c = -1.7 + 1.7. Is z >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 108*y + 453. Let v be j(-112). Solve -7*c = -v*c + 3*a + 5, 5*c = 2*a + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6432599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(9\/63 + 0). Suppose -12*y = 22 + 2. Which is the fourth biggest value? (a) 3 (b) -0.6 (c) i (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wswwcwpwwlwswcccs. What is prob of sequence ccsc?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*r + 39867 - 39807, -3*q + 105 = -r for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.2 + -19. Which is the closest to g? (a) -1\/4 (b) -10 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**18*d*d*d*d\/(d*d\/((d*d*d\/d**28*d)\/d))*d)\/((d\/(d\/(d\/d**(-31))))\/(d*d*((d**(-27)\/d*d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 29*n - 98*n = 3078 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*k = -6, 6*k = -4*x + 7*k + 79. Suppose -2*j = -3*j. Suppose -n + 7 = -j*n. Calculate the highest common divisor of x and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 + -3.1. What is the third biggest value in -5, 0.2, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 42, 105, 222, 411, 690?\n\"Answer: 3*b**3 + 6*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -288 + 3754\/13. Which is bigger: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5564747km?\nAnswer: 556474700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -670*v - 2. Calculate k(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -1)*1\/((-1)\/(-2)). Let o be (t\/6)\/((39\/(-126))\/13). Find the first derivative of 8 - 10 - o*s + 10 + 16 wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/10, 2\/21, -3, -44?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 69756 and -15.52375186?\nAnswer: 69771.52375186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 53. Let j = 10 - x. Let c = 16.0011 + j. Round c to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612000 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072 divided by 2?\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -796 divided by 2\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*f - 67, 4*i + f = 3*i + 8. Let u(d) = d**3 - 15*d**2 + 10*d + 13. Let y be u(i). Let k = -54 - y. Does 47 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338368.\nAnswer: 2, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 3*f**2 - f + 1. Let o be q(-3). Let t = 64 + -9. Let j = o - t. Solve -2 = z, -2*z - 2 = j*w - 4*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 3*p + 0*p)*(29 + 8*p - 29)*(2*p**2 + 13*p - 13*p) to v*p**3 + q + j*p**2 + g*p**4 + f*p and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 25*f - 16. Let a(r) = -5*r + 3. Determine -11*a(i) - 2*t(i).\nAnswer: 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2412*z + 9952. What is the tens digit of u(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -701750 + 239?\nAnswer: -701511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/14)\/p*p**(2\/7) assuming p is positive.\nAnswer: p**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - 100?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 106 + 107 = 54*o. Sort 3, 289, o in increasing order.\nAnswer: o, 3, 289","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 0 + 5.\nAnswer: 5 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 43*z + 211. Let s be y(24). Is s < 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11)*((-55)\/5)\/(-22).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 6*b + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from wgzggwzjzwmmgwmz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1257?\nAnswer: -1257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p - 8. Let t be w(-12). Let i be (1 - 2)*(-1 + t). Let q be -5*(1 - i\/(-45)). Which is the closest to q? (a) -0.1 (b) -3\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = -6*a - 337. Let z = 217 + a. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 792.4 + -792.5. Which is the closest to t? (a) -1\/5 (b) -4\/7 (c) 0.2 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -59, -86, -131, -200, -299, -434, -611?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1057 + 46 + 8)*(2*c + 2*c - 2*c)*(2 - 4 + 1) - 2 + 2 + 2*c)*(-2*c - 2 + 3 + 1) to n*c**2 + y + m*c and give n.\nAnswer: -4016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 - 315. Round q to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -5, 2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 262828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/63 and 4\/873?\nAnswer: 6111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/3835950 and 167\/120.\nAnswer: 15343800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.3 and 0.07?\nAnswer: -0.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 2*x**2 - 4*x - 3. Suppose 5*c + 12 = -2*z, -3*c - 8*z + 3*z = 11. Determine w(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 2. Let u be i(2). Suppose -u*m + 5*m = 0. Let p be 14\/30 + (-26)\/(-78). Are m and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 59, 3, 2 in ascending order.\nAnswer: 2, 3, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -335 divided by -48337\nAnswer: 335\/48337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -301*j**5\/30 - 43*j**3\/6 + 768*j**2. Let g(n) = -43*n**2 - 3. What is 43*g(b) - 3*u(b)?\nAnswer: -43*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275943558 and 629.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**3*m**6 - 2083*g**3*m**3 + 25918*g**3*m + 2*m**2 wrt m?\nAnswer: -720*g**3*m**3 - 12498*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*x - 4)*(13 - 13 - 2*x) + 6*x - 6*x - x**2 to r + q*x + c*x**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 336*k + 9408.\nAnswer: 3*(k + 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 3:15 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*a = 3*g - 19, 2*a = -4*g + 16. Solve -4*i - 3*b = -21, g*b = -i + 3*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/260 and -3\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 24. Suppose -q*m + v = 2*m - 161, 2*v = -m + 38. Calculate the highest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:12 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -403053115 by 80610623.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 5338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*q - 0*z + 388, 88 = q + 3*z. Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-3)\/((-165)\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6883, 6521, 5537, 3619, 455, -4267, -10859, -19633?\nAnswer: -30901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4910475\/8 + 609192. Let p = 4628 + o. Calculate the common denominator of 38\/13 and p.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**5*v - 31258389*m**5 - 2*m**2*v + 14*m**2 - 112*m*v + 2*m + 2*v - 156 wrt m?\nAnswer: 360*m**2*v - 1875503340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 4 + (-2634 - -1). Let x = t - -4682. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Suppose -4*r = 2*d, -6 = -m*r - d - 4*d. Which is the third smallest value? (a) -0.2 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-286)\/(-55)*2\/(-20). Let n = -69\/325 - h. Solve 0*r**3 - n*r**2 + 0 - 2\/13*r**5 + 4\/13*r**4 + 2\/13*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 72*a + 1017. Calculate r(52).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*z, -5*z + 7 + 3 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -50. Suppose 4*x + 3*d = -0*d + 97, 137 = k*x - 5*d. What is the highest common divisor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f + 8. What are the prime factors of t(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3. Suppose 0 = 4*s - r - 268, m*r = 7*s - 2*s - 335. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 749092.905615?\nAnswer: 749092.905615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 101619, 812807, 2743055, 6501855, 12698699, 21943079, 34844487, 52012415?\n\"Answer: 101582*f**3 + 38*f**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2906392453?\nAnswer: 2906392453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 1421045?\nAnswer: -1421040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 3043875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 + -107. Put -6, -5, a, 5 in descending order.\nAnswer: 5, a, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -21*c, -1857*q + 5*c = -1860*q - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = -12. Suppose -p*u + 4*x = -0*x - 28, 0 = -3*u - 3*x. Let o(h) = -6*h - 1. Let q(z) = z + 3 + 4*z - 2. Calculate u*o(t) + 5*q(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1776)\/5180)\/((-3)\/14)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 3*k**2 + 11. Let r be o(5). Let c be (-572)\/r - 2\/(-6). Suppose -60*n + c = -65*n. Put n, 4, 5 in descending order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*g - 5*i, 0*g + 2*g = 4*i + 32. What is the units digit of -3*(g\/(-3) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2187954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 + 86. Let r = o + 72. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 4*j**2 + j**2)*(-2 + 2 - 2)*(-1 - 12 + 2)*(3 - 2 - 2)*(4 - 18 - 2) to the form z + t*j + d*j**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5339 = -g + 20*g. Is 37 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = q - 540 + 541, x - 13 = 4*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1458) + -5*sqrt(1458)*1)**2*3.\nAnswer: 1296*sqrt(2) + 69996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 24*i**2 + 2*i - 59. Calculate h(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147254645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - z - 11. Let k be 3*(4 + -2 + -1). Let y be (-8)\/6 - 40\/(-30). Suppose y = -4*a + k*a. Give p(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.37390104 take away 0.4?\nAnswer: -8.77390104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12645.\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -12, 1296?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207 or -199?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**4\/8 + 9*y**3\/2 - 80*y**2. Let k be d(-7). Solve 6 = -k*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(6\/(-8)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 101. Let f = 460974.9971 + -461012. Let w = f - d. Round w to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(392)*1 - sqrt(392))\/(((sqrt(352) - 2*sqrt(352))\/sqrt(11))\/sqrt(8)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173 and 7093.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1339 plus -34818.79346?\nAnswer: -36157.79346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*32\/(-7280)*-14?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271622502*i**2*r - 224582088*i**2 wrt r.\nAnswer: -271622502*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4776 - -5063. What is the highest common divisor of 105 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(-12*g**3 - 89 + 89) to i + z*g**2 + a*g + v*g**3 and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmp when three letters picked without replacement from rpromavo.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 + 4 = 0. Let u = 1 + a. Let q(r) = -r**2 - 5*r + 3. What is the smallest common multiple of u and q(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113380607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 (base 4) in base 3?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c - -16?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23553 or 23552?\nAnswer: 23552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22 + 21 + 8*y + 3*y**2 - 10*y - 8 wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 83*u**2 - 3*u + 4. Is 10 a factor of h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126*k**2*n**2*z + 2*k**2*n**2 - k**2*z + 330*k*n**2 + 6*k*z with respect to z.\nAnswer: -126*k**2*n**2 - k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 45.983162791?\nAnswer: 50.983162791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 916913654 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = 4*v - 19, y - 2*v + 11 = 0. Suppose -x - 2*x + 9 = 0. Put y, x, -16 in increasing order.\nAnswer: -16, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3817*b**2 + 53*b - 28. List the prime factors of m(2).\nAnswer: 2, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(2*o**3 + o**2 - o**2) + 2*o**3 + 5 - 2*o - 5.\nAnswer: 6*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/228*4932\/1918.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2398510695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + 725. Let s(b) = -2*b - 363. Determine -3*h(q) - 5*s(q).\nAnswer: q - 360","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -1, 10 in decreasing order.\nAnswer: 10, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -85*b + 522. Give h(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v - 2423 = -5*b - 23*v, 2*b - 956 = -4*v. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 + 4*b**4 - 4*b**4)*(2537*b - 437*b + 1466*b - 67*b).\nAnswer: 6998*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 114*o**2 - 31*o - 4011?\nAnswer: 228*o - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1088)*-2*6.\nAnswer: 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.1 - 13.1. Sort 0, 0.1, -0.3, o in descending order.\nAnswer: o, 0.1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 53b500?\nAnswer: 53b4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1003.1 + -1003.100011366. What is j rounded to 7 dps?\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38111053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczcwesllzwlw. What is prob of sequence ze?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -39. Suppose 5*d - 167 = -2*k, -4*d = -7*d + q*k + 125. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.41 and 2136.\nAnswer: 2135.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 18.41067 nanoseconds?\nAnswer: 0.01841067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*m = -159, 5*m + 69 - 232 = -3*n. What is the remainder when 103 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + 2)*(0 + 1). Let s = m + 2. What is the remainder when s is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + -443\/9. Suppose 83*l - 87*l - 32 = -2*t, -3*t + 6 = 0. Let z = -0.73 + 1.13. Which is the nearest to l? (a) j (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369368729?\nAnswer: 9929, 37201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5710 - 543. Calculate the remainder when t is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18168, -36465, -54762?\nAnswer: -73059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - j + 2 = 0, -12 = 5*s - 2*j - 57. Let y(p) = -p**2 + 12*p - 4. Let h be y(s). Let w(f) = -3*f + 12. Let i be w(4). Solve i = -5*l + 6 - h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19356 - 10*m + 6*m + 38*m + 19378.\nAnswer: 34*m + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 12*q - 35. Let h be d(-7). Let k = -74 - h. Let f(a) = a**3 + 4*a**2 - 3*a - 5. What is f(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2000\/72)\/125)\/((-24)\/63). Suppose 0 = -2*d - 3*d. Which is bigger: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = p + 48 - 20, -4*c - p = -112. Calculate the greatest common factor of 868 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882046923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.09 + -1.089933. Round t to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + p = -11*b - 7, -3*b = -5*p + 53 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -78*y**2 - y. Let h be r(-1). Let o = -12 + h. Is (4 + -3)*-1*o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12471383129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/57269 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**27*(p**(-1\/21)\/p)\/p*(p**(6\/5))**(-42))**(-16) assuming p is positive.\nAnswer: p**(131792\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-12 + -2 - (-4 + 6 - -6)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 2)*(54 - 32 + 55 + 895*r - 77) as d + g*r and give g.\nAnswer: -4475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.35001*85\nAnswer: -114.75085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5*sqrt(76)*-2 - (1 + 4*sqrt(76))) + -6*(sqrt(76) - (5 + 1*sqrt(76)))*3)**2.\nAnswer: 2208*sqrt(19) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*w - 66*w + 132*w + 91*w to the form l*w + o and give l.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/75 + 261\/5. Suppose -m = 15*l - 623. What is the highest common divisor of 304 and l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.581157m to micrometers.\nAnswer: 4581157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40531741 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2736) - (sqrt(2736) - (-5*(sqrt(2736) + 0) + sqrt(2736))) - (4*(0 + sqrt(2736) + sqrt(2736)) - sqrt(2736))))**2.\nAnswer: 331056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (1 - 7))*-1. Let y = 1 + 19. Calculate the highest common factor of r and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l - 133. Let u(y) = y + 2. Give -5*d(o) + u(o).\nAnswer: o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26091, 104375, 234847, 417507, 652355?\nAnswer: 939391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -3*m**4 - 4*m**3 - 17. Find the third derivative of g(y) wrt y.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -35. Suppose m = 4*w - w. Suppose w = 2*u + 5*n - 3852, 4*n + n = u - 1941. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2 - 11866*q - 84494.\nAnswer: 2*q - 11866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -1. Let s = -2.9 - y. What is the smallest value in -2\/3, s, -2\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -758 + 2749. Let q be i\/66 - 1\/6. Let n be q\/20*(-16)\/6. Sort 2, 4, n in ascending order.\nAnswer: n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 36. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microsecond in nanoseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/6*(-8)\/96.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7105 + -1630039?\nAnswer: -1637144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 12) in base 5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f + f - 12 + 2*f. Let o = 4 - 13. Is v(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + k**2 - k**2 + (-4*k + 5*k + 3*k)*(-2*k + 4 - 4) + 5*k**2 - 13*k**2 + k**2 + 8*k**2 - 19*k**2 - 23*k**2.\nAnswer: -47*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**2 + 25 - 2*m - 4*m**2 + m**3 + 2. Suppose -261 - 337 = -46*z. Let k be o(z). Let r(t) = -2*t**3 - t**2 + 1. Give r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q + 1. What is the remainder when 31 is divided by k(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44681437 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 0. Let q = 46 + -31. Determine p so that -8*p**4 - 10*p**3 + 5 - 3*p**5 + 4*p**2 - 2*p**5 + 6*p**2 - 7*p**c + q*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300922.\nAnswer: 2, 7, 43, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -1109.17167?\nAnswer: -1112.17167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*r - 146*r - 2*r**2 + 292*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/23 - 950*w\/23 + 2868\/23.\nAnswer: -2*(w - 3)*(w + 478)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1537901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 328 and 88.\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -1299, -2912, -5169, -8070, -11615, -15804?\nAnswer: -20637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142537510 and 1449534?\nAnswer: 427612530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/350 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -106 (b) 3\/10 (c) -1 (d) -2\/13 (e) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3577*o + 5785. Calculate the remainder when t(-9) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/18 + -4 + (-336)\/96.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 9*w**2 - 4 - 6 - 9*w - w**3 + 0*w**3. Is g(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/12*(-4 - -1). Let n = 64 + -16. Suppose 0 = 3*l + m*t - n, 0*l - 3*l = 3*t - 48. What is the highest common factor of 64 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 202\/11, 65, -1\/2, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11111101100100?\nAnswer: -11111101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 11*x**2 - 21*x - 19. Let o be v(-9). Suppose -o*c = -20 - 12. Suppose 7*y + 15 = c*y. Let d(r) = -r**3 - 5*r**2 - 2*r - 3. Give d(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 31. Which is the smallest value? (a) u (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6227527648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8 + 31*c**2 - 19910*c**6 - 87*c**2 + 20421*c**6 wrt c.\nAnswer: 61320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44500 and 72?\nAnswer: 801000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15161306 divided by -18422?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - -4) + 5 + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 34, 19, 2 in decreasing order.\nAnswer: 34, 24, 19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/2*(100\/15)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 + -105. Let k = -49 + r. Let u = -5 - -2. Which is the closest to u? (a) k (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (69\/5 - 3)\/(10\/25). Suppose 7*h = 6*h + i. Suppose -h*k + 20 = -32*k. Sort -5, 5, k.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 1. Let c(n) = 3*n. Let o(f) = -3*c(f) - 2*y(f). Let v be o(-2). Suppose 3*k - 2*k - 4 = 0. Solve s + s = -k*w, -4*w = -2*s + v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 409 = -329 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/8, -0.5, 1\/5, 72\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 6*l + 1. Let o be g(7). Let k be (2\/8)\/(6\/o). Suppose 18 = -14*r + 4. Which is greater: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*l - 6*x + 7*x, 5*x + 35 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 382657330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 75*f**3 + 4*f + 4. Let c(m) = m + 1. What is 4*c(u) - n(u)?\nAnswer: -75*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 less than -165.049329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.885533 to two decimal places.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - z - 11. Suppose 15*i - 120 = -15*i. Calculate h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + j + 280. Let z be (((-3)\/9 - 1) + (-51)\/9)*-19. What is the second derivative of -j*f - 71*f + 24*f**4 + z*f wrt f?\nAnswer: 288*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:21 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.124825mg?\nAnswer: 0.000000007124825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 368120 rounded to the nearest one thousand?\nAnswer: 368000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*g + 6*g + 6*g)*(1 - 2*g + 5*g - g) to x + a*g + u*g**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158.3 + -178. Let m = s + 19.2. Let x = -0.5 - 2.5. Which is the third smallest value? (a) -0.2 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 944484.3 hours?\nAnswer: 3400143480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i**3*o - 1250515*i**3 + 20*i**2*o + 2*i**2 - 12007*o wrt o?\nAnswer: 5*i**3 + 20*i**2 - 12007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + y)*(-7*y - 10*y + 11*y)*(4*y**3 - y**3 + 0*y**3).\nAnswer: -36*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -78271 divided by -78271?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 314.1 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j + 3*j)*(0*j + 3*j - j + 4*j + 2*j - 5*j + (0 - 1 + 0)*(-j + 2*j - 3*j) - 4247 + 4247 + 3321*j).\nAnswer: 16630*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 115. Let y = b - 68.9982. What is y rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 12*j - 2. Determine i(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + -8 + 8 + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/6, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + (-3 - (0 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -6*c**3 + 48. Let r(p) = 5*p**2. Let t(n) = 6*b(n) + 22*r(n). Let w(q) = -1 + 0 - 1 + 1 - 40*q. Determine t(w(a)).\nAnswer: 3200*a**2 + 160*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051 not equal to 32609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/6*(-4)\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 31, 35, 27, 1?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 32. Let u be (-2 + -1)\/(-1) - 3. What are the prime factors of m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 3083.12, 2\/5, -2 in increasing order.\nAnswer: -2, 0, 2\/5, 6, 3083.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015744975 to 4 decimal places.\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2004*v**2 - 2004*v**2 + 14*v**3.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1763\/18 + -100. Suppose -5*d = -2*y - 891, -d + 3*y = -y - 189. Find the common denominator of -2 - 3\/(144\/d) and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11862, 18562, 29722, 45336, 65398, 89902, 118842, 152212?\nAnswer: 190006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1087.05 + 1087. Let m = 1\/20 + -3\/10. Which is the nearest to m? (a) -4 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**3 + 15*q**2 + 18*q - 6. Let h(s) = -5*s**3 + 31*s**2 + 36*s - 11. Let g(c) = -6*h(c) + 11*r(c). Factor g(l).\nAnswer: -3*l*(l + 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/19)\/(f*f\/(f\/f**(1\/9)))*f**(-2\/67)\/(f*f**(-6)) assuming f is positive.\nAnswer: f**(45419\/11457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - 2*q)*(-1165 + 233 + 2*q**2 + 593 - q**3).\nAnswer: 2*q**4 - 4*q**3 + 678*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) 4 (c) -15 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 1, c: 2, r: 4, u: 2}. Give prob of sequence cvt.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4 + 1 + 0 - 4 + o**2. Let g(a) = 10*a**2 + 6. Calculate -g(h) + 6*i(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -38. Let i be -24*(1\/2)\/(c\/22). Let s(p) = -p + i*p**2 - 2 - 2*p - 131*p**2. Calculate s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1232*r - 765. Let d(s) = 19*s + 1. Let n(a) = 5*d(a) + q(a). Differentiate n(u) wrt u.\nAnswer: 1327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u)**(-5)*(u*u\/(u*u**(2\/61)*u))\/u*u\/(u\/((u\/u**(-5))\/u)))**(-23\/2) assuming u is positive.\nAnswer: u**(1449\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(171) - (sqrt(171)*-1*-6 - sqrt(171) - sqrt(171)))\/(6*sqrt(900)*-1 + -1*sqrt(900)*5).\nAnswer: -sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 8:58 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 5*b)*(-3*b + 6*b - b) - 2*b**2 + 0*b + 0*b + (2 + 0 + 0)*(1 - 2 + 0)*(2*b - 2 + 2)*(11*b + 2*b + 18*b).\nAnswer: -130*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 27*p - 26. What is the tens digit of z(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2708865269 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 40*76\/(-4560)*((-75)\/(-2) - 0)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*j + 33 = 0, -11626*j + 34 = 4*f - 11628*j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455963 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*i + 37. Suppose 2*a + 60 = 5*p, -3*a + 12 = -i*p + 4*p. Solve 3*w = -6 + p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8\/(-1216)*8.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*h - 11, h + 2 = o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (1 - (25 - 9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250 + -255. Let g(f) = 7*f**2 + f + 1. Let q(i) = 6*i**2 + 1. Let p(y) = a*g(y) + 6*q(y). Give p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -968, -2194, -3922, -6152?\nAnswer: -8884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20135638*n**4 - n**3 + 53*n**2 - 89230*n wrt n.\nAnswer: -483255312*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 109?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -91, -1\/3 in descending order.\nAnswer: -1\/3, -1, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4876515 and 959?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3878965 take away 980844?\nAnswer: -980844.3878965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.92 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-400)\/1560*13)\/((-11)\/(-264)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169951 is divided by 2600.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6633*o**3 + 6768*o**2 wrt o?\nAnswer: -39798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 1. Let v be b(-7). Let w = -8 - v. Let y = 0 - -8. Solve -2*j + 2*t - y = w, 5*j + 2*t = -2 - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -50) + 179906\/(-10488) + 44\/(-24)\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5))**(12\/5) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5232103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:45 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 15*s**2 - 5*s - 5. Let c(f) = 22*f**2 - 7*f - 7. Let b(a) = -5*c(a) + 7*r(a). Let t(v) = -4*v**2. Give b(t(x)).\nAnswer: -80*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - (1 + -5)) - (57 + -27 + -7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -399, -390, -381?\n\"Answer: 9*m - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -104*c**3 + 2836*c**2 - 17086*c + 572. Let f(u) = 201*u**3 - 5672*u**2 + 34171*u - 1142. Let k(q) = -2*f(q) - 5*t(q). Suppose k(h) = 0. Calculate h.\nAnswer: 2\/59, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.48 (b) 4 (c) -9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/8)\/(372\/12400*100)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40369777 by 9257.\nAnswer: -4361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -868*m - 959*m + 1830*m - 12 - 5*m**2 in the form v*m + i*m**2 + s and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5196845 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1034 + 6*z + 1034)*(-6*z - 3 + 2*z + 1).\nAnswer: -24*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 364*f - 311*f + 265 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -470351950*v**2*w**2*x - 10*v*w**2 + 1052387*v*x - 4*w**2*x wrt v?\nAnswer: -940703900*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3309\nAnswer: -4\/3309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 50*z + 5. Let t be s(-11). Let a = 849 + t. Suppose -32 = 4*b - a. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (540\/96)\/(-15) + (-4394)\/(-112). Let x = -1346\/35 + d. Is 131 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23888 and 29?\nAnswer: 692752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q\/(q*q**(-2\/11)))\/q)**(-30))**0)**(-19\/4))**(1\/17) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 38*p - 326. What is x(-11)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*4 - 7\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 3*h + 126 = 0. Solve 0 = 3*t + 3*w - 12, 0 = -5*t + 2*w + h - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n + 13 = -40 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**5\/630 - 5*g**4\/126 - 25*g**3\/63 - g**2\/2 + 8. Let s(n) be the second derivative of a(n). Solve s(k) = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, s: 2, r: 3, d: 10}. What is prob of picking 1 r and 1 k?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 252\/59? (a) -5 (b) 10\/57 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+310\nAnswer: 310.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(5*p - 2 + 2)*(-7*p - p + p).\nAnswer: -70*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.47803 litres to millilitres.\nAnswer: 73478.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 7*d + 22*d + 438 + 344 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8680 and 35?\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26808898 - 26808903.99999975. Let t = h - -6. Round t to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12481182.971 to the nearest one thousand.\nAnswer: 12481000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*f = -2*f + 27, 4*f = 2*t - 72. Let u be 6\/21 - t\/(-7). Let z = 7 - u. Solve 5*s - 2*l = 3*l + 30, z*s + l = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**2\/2 + u + 672. Let p(a) = 4*a - 2. Let c(j) = j**3 + 2*j**2 - 2*j - 3. Let m be c(-2). Give m*p(o) + g(o).\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -181? (a) 43 (b) 1 (c) -4\/7 (d) 49 (e) -3\/2 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*a + 28 = 132*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -11162.9666?\nAnswer: 11156.9666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5947*b - 2103*b + 89281 - 243041 = 0 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009072021 rounded to 6 dps?\nAnswer: 0.000907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -825*z. Let r(x) = 32*x**2 - 14*x + 2. Let i(d) = -1573*d**2 + 693*d - 99. Let f(m) = 2*i(m) + 99*r(m). Determine h(f(a)).\nAnswer: -18150*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*b**2 + 1 - 1 + 121*b**2 - 236*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59997 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -170602*g - 170584. What is j(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. What is the biggest value in 0, -1, r, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let i(h) = 9*h - 2. What is 3*i(z) - 21*n(z)?\nAnswer: 6*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/5 - 654716*l - 267908150410 = 0.\nAnswer: -818395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 2\/3, 5\/3, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, 2, -0.08, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + -21)*(-2)\/(-3). Let r = -6 - u. Solve 0 = -3*p - r + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, 0.8, 4, 41\/226 in decreasing order.\nAnswer: 126, 4, 0.8, 41\/226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 16*f = 39, 5*f + 5 + 0 = -2*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*t - 15 = -8*t, 12 = 3*f + 4*t. Let k = -8 + 25. Let r = -14 + 14. Which is the closest to r? (a) k (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, and 1 s when three letters picked without replacement from dojsm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22842490?\nAnswer: 2, 5, 11, 281, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -7, 0.1, -45, -41 in ascending order.\nAnswer: -45, -41, -7, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -1 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, v: 7}. Give prob of picking 2 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136276?\nAnswer: 2, 7, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-62)\/8 - (-1)\/4. What is the greatest common divisor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16554?\nAnswer: 2, 3, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14186\/47 or 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:11 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 5*h**6\/4 + 67*h**5\/15 + 2*h**2 - 53*h. What is the third derivative of s(a) wrt a?\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8430073 decades to centuries.\nAnswer: 0.08430073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/72 - 25*x**3\/18 - 18*x**2 - 1119*x. Factor h(t).\nAnswer: (t - 54)*(t + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) -4 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-4)\/10)*-10. What is the common denominator of 42\/525*5 + (-1479)\/(-90) and (-588)\/342*3\/y?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 1. Let i be g(1). Let b(o) be the second derivative of -o**3\/6 + o**2 + 2*o. Calculate b(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + l**2)*(-1 - 7 - 3) as f + q*l**2 + z*l and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1105\/130 - (-17 - -21))\/(6\/184).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753.3253 years to months.\nAnswer: 9039.9036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-5)*2\/4. Suppose -4*m + 1 - 7 = u*f, 4*f - 2*m - 18 = 0. What is the third derivative of i**3 + 3*i**2 + i**2 - f*i**3 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -98 + 94165?\nAnswer: 94078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -15) + (10 - 15) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77238.95 at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10233313121 (base 4) to base 7.\nAnswer: -13402445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5*(sqrt(17) - -6*(sqrt(17) - sqrt(34)\/sqrt(2))) - (sqrt(153)\/(sqrt(9) + sqrt(18)\/sqrt(2)) + -2)) + 3 + 2)**2.\nAnswer: -88*sqrt(17) + 2313\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333873 less than 1333873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 67 + 55 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Suppose 14*z = 112*z + 490. What is the closest to l in -1\/2, 1\/9, z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 800*v + 794*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 5*y**4\/6 - 2*y**3\/3 - 2*y**2 - 73*y. Let c(v) = 11*v**2 - 5*v - 5. Determine -5*b(n) + 4*c(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 0, 3*x - 5*g = -0*g + 7. Suppose -w - 20 = -4*f, -2*w = x*f - 0*w - 8. Solve 2*c = -2*v + 10, c = -f*v + 17 + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0 + 37*u + 0*u**2 - 27\/20*u**5 + 0*u**3 + 7\/4*u**4. What is the third derivative of o(a) wrt a?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*v + 40, -4*v + 7*v - 5*n - 2 = 0. Let h be 3 + 20\/4*-1. What is the remainder when v is divided by h*(48\/(-21) - 12\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5666291303?\nAnswer: 4391, 1290433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - a + (-5*a + 4*a + 3*a)*(-7 + 2 + 3) - 10*a + 8*a - 14*a - 352*a + 135*a + 165*a.\nAnswer: -73*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 11*b + 14. Let p be z(12). Solve 7*l - 6*l = -p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = 4*n - 13, -5*n + 22 = -w. Let q be w + -2*(-4)\/(-8). Sort 1\/3, 2\/5, q in decreasing order.\nAnswer: 2\/5, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 11 (b) -1\/4 (c) 1406 (d) 0.5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38\/7 + 715\/133. Let a = 0.5331 - 0.4331. What is the nearest to -0.1 in z, a, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eleeldqqlqdqlzlzeeee. What is prob of picking 2 z and 1 d?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/240845 and 71\/46255?\nAnswer: 6984505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78542017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 57 = -25. Suppose 5 = 5*g - k - 15, n = 4*g + 2*k. Differentiate 7 - 17 + 0*m**4 + 16 - 5*m**g with respect to m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*y = 122*y. Let q be (200\/(-16))\/(20\/(-24)). Solve -3*a + q + 0 = y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - (10 + (0 - 4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (39 + (-44 - -19))) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 17*c**2 + 2*c - 6. Let u be f(-17). Let v = -8 - u. Suppose -3*z + v + 43 = 0. Calculate the remainder when 124 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 11. Suppose 3*v = -3*l - 27, 4*v + 15 = -2*l - 13. Let m be (v - (0 - i))\/(16\/(-24)). Solve 2 - m = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 204*v**2 + 4783*v - 54*v**3 + 3*v**5 - 84*v**2 - 4783*v - 9*v**4 = 0.\nAnswer: -4, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001101 + -100?\nAnswer: -1011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22650026 to the power of 1\/2, to the nearest integer?\nAnswer: 4759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h - 3. Let z be t(2). Let u = z + -11. Suppose 0 = 3*n - u*v - 26, -3*n - 2*v - 1 - 3 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 23 = -4*w + 6, 0 = -4*w + 3*s - 9. Let p be w\/(-7) - (-148)\/14. Suppose p + 5 = 2*a. What is the smallest common multiple of a and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 278 + -240. Let g = 38 + -17. Let t = z - g. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8064) + 5*2*sqrt(8064))\/(sqrt(96)\/(sqrt(1452) - (sqrt(1452) - sqrt(1452)*1))))**2 + -4.\nAnswer: 14758124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2097\/7 + -300. Which is the nearest to -2? (a) h (b) -7 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 53 = -3*d. Let v = -13 - d. What is the greatest common divisor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119*o**3*z**2 - 3014*o**3 - 2*o**2*z**2 + 3*o*z wrt z?\nAnswer: 238*o**3*z - 4*o**2*z + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 375198846 divided by -50682?\nAnswer: -7403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -381 not equal to -542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 20*h + 46. Calculate i(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101 - -3?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20130 * -83\nAnswer: 1670790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -10\/7, 0.25?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 37 - 19. Suppose 7 + u = 3*t. Solve a = 3*z + 3, -2*a = -t*a - 2*z + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -bae?\nAnswer: ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 446 + -445.2. Let f = -18 + 19.8. Let k = p - f. Put 3\/7, k, 2\/19 in increasing order.\nAnswer: k, 2\/19, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 807, 829, 873, 945, 1051?\n\"Answer: j**3 + 5*j**2 + 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -42*w**4 + 35*w**2 + 45*w**3 - w**4 - 10 + 14*w**4 - 45*w + 4*w**4 = 0.\nAnswer: -1, -1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253 - 797 + 244 + 41*r + 300.\nAnswer: 41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103 and 1957.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 240890586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.091249493578 and 5.\nAnswer: 4.908750506422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((4\/(-6))\/(8\/54))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*v - 7, -3951*v + n = -3949*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 14 = f + r, -4*r = 5*f - 38. What is the least common multiple of f and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*2*-2. What is the third derivative of 0*i**2 - i**2 - 2*i**v - 3*i**4 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h + 5 = -4*o - 80*h, -2*o + 5*h = 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.160089828 to 5 decimal places.\nAnswer: 0.16009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-6 - (0 - 2)) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6 = a, -a + 4*s + 1 = -14. Suppose 5*u + x = 31, -u - a*x = 9 - 4. What is the remainder when 12 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**3)\/r)**(-2\/39)*(r**(13\/2)*r*r)\/r*r*r**(-2\/11)\/r assuming r is positive.\nAnswer: r**(2137\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 - 223*f**2 - 339*f**2.\nAnswer: -584*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2374.\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(4 + (-102)\/12). Suppose 45 + m = 3*q. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -6*y - y. Solve -5*c = -p - 23, c - y*c = -20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/28 - 29\/(-2). Let w = f - -7. Calculate the common denominator of w and 71\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*i = 0, -5 - 4 = 3*j - 3*i. Which is smaller: -9\/4 or j?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*g**5 + 2*g**4*x**2 + g*x**2 - 38*g + 3*x wrt g?\nAnswer: -540*g**3 + 24*g**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) 0.1 (b) 1 (c) -2\/5 (d) -1264\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*u + 60, -20*i = -23*i - 2*u + 60. What is the lowest common multiple of i and 748?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 224\/9 - 10\/3*o + 1\/9*o**2 = 0.\nAnswer: 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -19*f**4\/6 + f**3\/2 - 55*f**2\/2 - 56*f - 2. What is the derivative of o(m) wrt m?\nAnswer: -76*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 33 + 3. Let i = c - 30. Let x = 27 + i. What is the highest common factor of 30 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120697846 a multiple of 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 312*c**2 + 12276*c + 129712.\nAnswer: (c + 22)**2*(c + 268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114042151*g**5 + g**2 - 18577244?\nAnswer: 6842529060*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.5?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -21*k + 65. Suppose 5*m = -616 - 1369. Let u = m + 6755\/17. Which is the nearest to u? (a) k (b) 4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 11*i - 9. Let t(c) be the second derivative of -c**4\/6 - 1683*c. Determine a(t(u)).\nAnswer: -8*u**4 - 22*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 1503100007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 2*r**2 - 4*r**3 - 5*r**2)*(1964*r**2 - 207*r**2 + 416*r**2).\nAnswer: -8692*r**5 - 4346*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 747 and 14110.\nAnswer: 126990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, z: 1, x: 5, u: 2, h: 1, y: 1}. What is prob of sequence ubux?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879 - 1295 = -109*f + 2091 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157.72 + 166. Let k = -9.3 + d. Round k to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/8*9*32\/(-128)*-4\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/4395, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*2\/((-20)\/6))\/((-117)\/(-26)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - 6*z**2 + 5*z - 1. Calculate the least common multiple of g(2) and 2\/8 - (-70)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = 1. Suppose u - 4*u = -2*z + 230, n*z = -2*u + 319. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 30 = 4*t. Let u = -28 - -56. Suppose -u = -2*p - t. What is the least common multiple of p and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 25*d - 17. Is o(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 200?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.8. Let w = f - -11.9. What is w rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325 (base 15) to base 5\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h - 1. Let j(s) = 44*s**3 - 3*s**2 - 3*s + 3. Calculate -3*g(p) - j(p).\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 4, -114, 0, -21, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from thmvvmkj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 7*w - 4. Let c be a(7). Let m = c - -8. Solve s - 3*s - m = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 6*k + 15. Suppose 2*a + 168 = 2*z, 4*a - 196 = -3*z + k. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i - 2 = 0. Let x(t) = 5*t**3 - t**2 - t + 1. Let m be x(i). Let a = 8 + -6. Solve b = -3*k + 8, 0 = -m*b - 0*b + a*k + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -85*w + 103. Let f(u) = -52*u + 52. Determine -3*a(j) + 5*f(j).\nAnswer: -5*j - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + 125 + 86 - 262?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11\/6, 3, -13.4, -2, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**3 + 87*b**2 + 386*b + 5244. Calculate q(-14).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -205632 divided by -64?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-280)\/(-6)))\/(180\/(-96))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 258 or 257?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0*m - 670. Let k(o) = -o**2 + o + 2. Let z be k(3). What is the tens digit of z\/10 - m\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 169. Let a(b) = b**3 - 9*b**2 - 6*b + 14. Let n be a(10). Let m = z - n. Solve 3*h + m = 7*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5978 is divided by 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 510816\nAnswer: -153244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffwwdnbff. What is prob of picking 1 f, 1 d, and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106 and -0.17?\nAnswer: -18.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) + 195\/(-10). Let a = l - -22. Solve a*f - 2 = -g - g, g = 3*f - 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313240855 divided by -5?\nAnswer: 262648171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9200*k**2 - 9194*k**2 + 8*k**3 + 45977*k**2 - 9196*k**2 - 9194*k**2 - 9193*k**2.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 158\/(-632)*4\/6*3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1 - -454466419.\nAnswer: 454466423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 + 171. Let m be s\/(-6)*(4 + (-1 - 2)). Factor -15\/7*f**m + 27\/7 - 9\/7*f - 3\/7*f**3.\nAnswer: -3*(f - 1)*(f + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3152.224 * 4\nAnswer: -12608.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 3:02 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.072 - 2.072. Let f = 32 - m. Let r = f + -34.4. Sort r, 2\/11, 1 in ascending order.\nAnswer: r, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 10 + -11 + (4 + 32 - -3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**3\/9 + 1672*u**2\/9 - 23072*u\/3 - 6272.\nAnswer: -2*(u - 84)**2*(5*u + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -202221102222 (base 3) in base 2?\nAnswer: -1100100101000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -5*d**4\/24 - 29*d**3\/3 - 19*d**2 + 26. Let y(n) be the second derivative of v(n). List the prime factors of y(-21).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 559 = 872. Calculate the smallest common multiple of 583 and g.\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19603699 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-750)\/(-21) - 2\/(-7). Let o = s - 16. Let u be ((-15)\/o)\/((-3)\/(-2))*4. Does -5\/8 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 + 102. Calculate the remainder when 3\/3 - (-17 - 10\/b) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (72 + (1 - 37))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425, -835, -1243, -1649?\nAnswer: -2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 50*h**3\/3 + 131. Let i(l) = -262*l - 256*l + 521*l. What is a(i(d))?\nAnswer: 450*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 2*2\/4. Suppose -4*i = 5*d + 4, -3*d + i - 20 = d. Let m = d - -7. Put m, 5, k in ascending order.\nAnswer: k, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*m + 1 - 3)*(-21 - 2 - 13)*(3 + 5 + 2).\nAnswer: -1440*m + 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 158\/14 - (-2)\/(-7). Let z = y - 6. Let q = 133 + -123. Solve -5*i + z = -q*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3951 in -4.9, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 221 = -1481. Let a = m - -168. What is the remainder when 377 is divided by a?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - k - 2*k)*(k + 0*k - 4*k)*(846 - 846 + 21*k) as o*k**2 + i*k + x*k**3 + y and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -5 (c) 12 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132680 and 155.\nAnswer: 132680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8603\/7529 + -169092667\/118852794. Let l = 7060737\/4385 - 8051\/5. Let f = l + x. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453, -454, -455, -456?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 19 - 11)*(4 - 4*p - 4)*(2*p**3 - p**4 - 2*p**3) + 0*p**5 + p**5 + 4*p**5 + p**5 + 4*p**3 - 4*p**3 + (0*p**2 + 0*p**2 + 2*p**4)*(-p - p + p).\nAnswer: -160*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 33792.\nAnswer: 3\/11264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 491148494*q**2 - 243169457*q wrt q?\nAnswer: 982296988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2878*r + 3597157 - 3597157)*(3 - 2 + 0) + (0*r + 5*r - 4*r)*(-4 + 1 + 2).\nAnswer: -2879*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n**3 + 50*n**3 - 36*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 105*r**2 + 93*r - 1131. Let c be t(-104). Solve 3*h = 22*k - 17*k - 19, c = 5*k - h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1350.28 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33832649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s = 23*s - x + 1313, 1781 = 4*s - 3*x. What is the highest common factor of 2805 and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 3*v + 12 = 13*l, -8*v + 28 = 2*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 148.19 from 1.23.\nAnswer: -146.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 14 = 37 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/15*44\/((-1144)\/(-1053))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*c + 27, 0 = 3*o + 5*c - 1. Is 7 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - -4.8. Let y = g + -3. Let f = 2.506 - 2.706. Which is the biggest value? (a) y (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 + 16917585*i + 16917580 = 0.\nAnswer: -3383516, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.9 + 131.1. Let g = v + -189. Sort 0.5, -8, g in descending order.\nAnswer: 0.5, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77.000002744 - 77. Round b to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-15)*((-705)\/47)\/(8*4)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/4 + 3*b**4\/4 + b**3 - 4*b**2 + 4.\nAnswer: -(b - 2)**3*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 17 + 19. Solve -3*u - 13 + 1 = 0, -3*m + 3*u = -s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*a - 384*a - 1179*a - 3.\nAnswer: -1343*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71102292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 7, -2, -24.\nAnswer: -24, -2, 7, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156.017 - 156. Let h = b + -0.077. Sort 4\/21, h, -3\/5 in increasing order.\nAnswer: -3\/5, h, 4\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/4776 and -76\/69.\nAnswer: 109848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 0 (c) -0.4 (d) -6912\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 6*d + 5. Let s be n(7). Suppose 0 = -y + 2*y + 2, -2*z - y - 2 = 0. Which is the biggest value? (a) z (b) 5\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + h + 34)*(0 + 4 - 3 + (-5 + 1 + 2)*(-8 + 4 - 3)).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**4 - 165*s**3 - 144*s**2 + 972*s = 0.\nAnswer: -54, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 82, -325, -1274, -2945?\nAnswer: -5518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142767 = -2159*z + 518*z for z.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51358 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228 - (-356 + 546) - (11 - -1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*v - 176*v + 1044 = 0. Calculate the remainder when v is divided by 109.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (2080\/(-195) - (-2 + 8\/6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/231 and -71\/1578.\nAnswer: 121506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/20 + 5*y**4\/12 + 2*y**3\/3 + 2*y. Does 6 divide u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -480 + 575. Suppose 103*n = g*n + 672. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68485\/2897 <= 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8911*l**2 - 35 - 8909*l**2 + 207.\nAnswer: 2*l**2 + 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-7) + (-4)\/(-14). Let g(b) = 8*b - 4. Let s(c) = -2*c + 1. Suppose 3 = -x - 5 - 4, -5*d = 2*x - 21. Calculate d*s(r) + m*g(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 3980.\nAnswer: -1\/1990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 25921702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 11}. What is prob of picking 1 h and 1 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - x - 18 = 0, s - 3*x + 6 = -0*s. Let z be ((-14)\/s)\/((-2)\/(-66)). Let y = -55 + z. What is the least common multiple of 12 and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -33496153.\nAnswer: 2\/33496153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96684648 is divided by 24171161.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odko when four letters picked without replacement from {i: 1, k: 2, d: 2, n: 1, o: 5, m: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a90 - -68?\nAnswer: -a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 384627709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024 (base 11) in base 6?\nAnswer: 40434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 11*l + 11. Let b be x(-8). Let p = -6 - b. Suppose p = r + 3. Sort r, 1, 3 in increasing order.\nAnswer: 1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvhr. What is prob of sequence rhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -408340807\/4 or -102085201?\nAnswer: -408340807\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -456 - -3?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114019 is divided by 12654?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (-2*sqrt(153) + sqrt(153))**2)*1 + -5 - (sqrt(153) - (2 + 1 + sqrt(153)))*-2.\nAnswer: 3*sqrt(17) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -11\/2*u**2 + 56\/5*u - 1\/15*u**3 + 309. Factor t(g).\nAnswer: -(g - 1)*(g + 56)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 1. Let x = 6.8 - y. Let z be 2\/(-8) + (-13)\/(-84). Which is the second smallest value? (a) x (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 7*d**2 - 8*d + 2. Let j(h) = 3*h**3 + 11*h**2 + 12*h - 3. Calculate 7*b(y) + 5*j(y).\nAnswer: y**3 + 6*y**2 + 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/21)\/(12\/14). Let y = 53 - 39. Let v = y + -19. What is the second smallest value in v, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Let r be 1*(2 + (-1)\/1). Solve 0 = f - r + y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/14 and -99\/49574342.\nAnswer: 347020394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 5*a**2 + a + 5. Let c = 26 - 31. Determine u(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-7)\/(-2) + 4\/(-1)). Let y be (2\/4)\/(4\/240) - o. Solve 0 = c + 5*c + y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 565 and 2640?\nAnswer: 298320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 4*p. Let w(d) = 5*d**2 - 21*d - 1. Let o(m) = 11*j(m) - 2*w(m). Let h be o(2). Factor z - z**3 + 0*z**h - 1\/2 + 1\/2*z**4.\nAnswer: (z - 1)**3*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 34 + 26. Suppose -5*r + s = -3*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-30)\/(-9))*(-18)\/12. What is the units digit of 1 + 2*(225 - w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/sqrt(44) - ((sqrt(1700) - (-1 + sqrt(1700)))**2 + sqrt(1700)).\nAnswer: -19*sqrt(17)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 196, -453, -2158, -5453, -10872?\n\"Answer: -89*z**3 + 6*z**2 - 44*z + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**4 + 15064*k**3 - 2*k - 119276 wrt k?\nAnswer: 36*k**2 + 90384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 50 = 5*b, -f + 17 - 82 = -4*b. Suppose 5 = -5*t + b. Let s(n) = 3*n + 2*n**t - 3*n. Let j(o) = -o. Calculate j(s(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from {x: 3, w: 2, l: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*3\/(-72) + 14\/8. Suppose -8 = -t*f + 88. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:45 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4*u**2 + 1574*c**4 - 1571*c**2*u**2 wrt c?\nAnswer: -48*c*u**2 + 37776*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 + 4*t**3 - 6*t**3 - t + t**3)*(4*t - 2*t + 0*t).\nAnswer: 6*t**5 - 2*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 11*t - 8*t = -2, -5*f + 6*t - 1 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.152 + -4.152. Let y = 0 + 0.2. Which is the nearest to p? (a) 1\/4 (b) -0.25 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -42549 (c) -0.062 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5 + 3 + 12*p**3 - 15*p**2 + 14*p**2 to the form b*p**3 + f*p + z*p**2 + x and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -139, -110, -59, 20, 133?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/9 + 3724*g**4\/9 - 752074*g**3\/9 + 2207888*g**2\/9 + 1002776*g\/3 - 987904 = 0 for g.\nAnswer: -2, 2, 3, 227, 1632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 20 - 59 - (-3 + -10)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38.2 times 32.3\nAnswer: 1233.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.32 in -1, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 9 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {h: 1, k: 2, i: 7, f: 4, l: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1044, 916, 700, 390, -20, -536, -1164, -1910?\nAnswer: -2780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210100011112 (base 3) in base 2?\nAnswer: -101101010000010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 - 71. Let m(l) be the first derivative of 8 + 43*l - c*l**2 + 59*l**2 + 9. Differentiate m(k) with respect to k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 438 + 75*b**2 - 3*b - b**3 - 79*b**2 - 445. Calculate u(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:26 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3 = 3*z - g, 3*z - 21 = -5*g. Suppose 2*k = -z*k + 60. Suppose -3*r = o - r - 6, -k = -4*o - 5*r. Solve 4*v + 0 + 8 = o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254166.\nAnswer: 2, 3, 11, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z + 487. Give o(45).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (34\/(-391) + 70244\/23)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4419*q**3 - 10082*q**3 + 5692*q**3.\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12358*a - 12373*a + 116835. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 42*k + 188. Let c be p(-5). Solve 0 = -c*m + m - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2297 - 786*d - 2276 + 4569 to the form p + n*d and give n.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-3) + 1)*(-161319)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.2619 + 0.4381. Which is greater: 0.4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 5) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82257538.\nAnswer: 2, 11, 43, 89, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.025958 - -0.025958. Let f be (-1)\/(-2) + (-39)\/42. What is the closest to -4 in f, 0.3, -2\/13, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/26*(-86)\/6665)\/(1\/15)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 23*c + 67. Calculate the lowest common multiple of f(5) and 436.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11472*r + 699814. What is p(61)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*i - 8. Let h = -12 - -36. Suppose -p + h = p. Solve i*n - 9 = u, 5*u + p = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 210 - -4?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12730 - 1?\nAnswer: -12731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 9:08 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 633*k**2*u*v**3 - 5*k**2 + 4*k*u*v**2 - 11*k*u + v**2 wrt v?\nAnswer: 3798*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/7, -0.17 in decreasing order.\nAnswer: 1\/7, -0.17, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169754197?\nAnswer: 17, 29, 103, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhk when three letters picked without replacement from {k: 2, h: 3, v: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32475 and 10825?\nAnswer: 32475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(10\/(-100)). Suppose -14 = -h - 5*j, -2*h = 2*h - 2*j - 12. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207.00125 + 207. What is f rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 297?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -0.07 (b) 0 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 2490?\nAnswer: 12450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 785 - 264. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 - t**3 + 3 - 5 + 2*t**2. Let h be v(5). Is 2686\/18 + h\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116 + -113. Suppose -3*i + 5*r = -38, 4*i - 41 = 4*r + 23. What is the remainder when i is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and 2284283.\nAnswer: 93655603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-726))\/(8925\/5775).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*k + 0 + (-1 + 1 + 1)*(0 + 0 + 2*k))*(6790*k**3 - 32 - 3394*k**3 - 3394*k**3).\nAnswer: -4*k**4 + 64*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 364 = 5*w - 2755, -5*w = 4*x - 3151. Let c = -295 + w. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, -2, 4 in decreasing order.\nAnswer: 5, 4, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109326 and 5546499?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9584*l**3 - 110*l**4 + 6294*l**2 - 3575*l**2 + 9564*l**3 wrt l?\nAnswer: -2640*l - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -149914, -149820, -149658, -149428?\n\"Answer: 34*y**2 - 8*y - 149940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -1 - ((6 - 3) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:47 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18623.\nAnswer: 11, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13430265\/154 + -87209. Find the common denominator of -75\/196 and m.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 w, and 1 z when four letters picked without replacement from {w: 3, e: 2, z: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/27358 and -75\/5944.\nAnswer: 81307976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-30)*(-3)\/(-2). Which is the closest to 1? (a) 0.5 (b) -2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 411 - 387. Suppose 0 = s - 4*r - 148, -5*s - 4*r - i + 668 = 0. What is the least common multiple of 55 and s?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 93. Suppose -4*x + v = -0*x. Calculate the highest common divisor of 30 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - (63 - -4)) + 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -33*v**2 - 1. Let j be h(-1). Let l = j - -62. Let b(x) = x**3 + 5*x**2 - 4*x - 6. Let k be b(-5). What is the highest common factor of k and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 1683 - 1575 = w. Is 9 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((76\/(-380))\/(54\/40))\/((-17)\/102).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 17 - 45 - 12 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:29 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221 - 1122?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19183269113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -7*x**3\/2 + 23*x**2 - 15*x. Differentiate j(g) wrt g.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23889 and 399559451?\nAnswer: 7963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t - 2*t)*(-2*t + 0*t + t) + t + 2*t**2 - t + 13*t**2 + 20*t**2 - 18*t**2.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 67*h + 409. What is r(43)?\nAnswer: 1441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oogaoaogoggoogogo. What is prob of picking 2 o?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 3*d**2 - 4*d - 5. Let u be a(-5). What is u rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 11*m + 21 = 0, -m = 70160 - 70163 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 - 2 = 0. Let l = -2 + v. Let x(w) = -w**3 + 3*w**2 + 4*w + 3. Let g be x(4). Solve l = -2*r - 2*r - 4*s + 40, 0 = -5*r + g*s + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -12. Suppose o - 3*z = -o - 39, z = o + 17. Let u = p + o. Solve 3*y + u = -3*l - 10, -2*y + 5*l + 11 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*z + 79, -3*c + 28 = -4*z - 187. Differentiate -3*h - 47 - c - 2*h**2 + 173 with respect to h.\nAnswer: -4*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -8*f**7\/105 - 139*f**4\/12 - 319*f**2. Find the second derivative of j(c) wrt c.\nAnswer: -192*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 27.63, -51, -1\/5 in descending order.\nAnswer: 27.63, 23, -1\/5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 7*y + 3. Let x be n(7). Suppose -6 = -x*u + 9. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*a + 13. Let u(d) = 2*d. Let y be u(6). Suppose -w - y = -5*w, 9 = a*p + w. What is the least common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-42)\/(-280))\/((-3)\/2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.7 - 33. Let b = -5.24 - f. Let q = 3\/10 - 1\/70. What is the smallest value in b, 0.1, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**4 - i**3 + i**2 + 4*i. Let v(r) = -18*r**4 + 7*r**3 - 18*r**2 - 9*r. Let d(z) = -3*g(z) - v(z). Find the third derivative of d(f) wrt f.\nAnswer: 360*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 13395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196021616 is divided by 2859.\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16374)\/(-15)*(-15)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -i + 10, 12807*i = 12803*i + 17*x - 65 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17236349 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125019*-1.8.\nAnswer: 225034.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 5, 2744, -3, 4 in increasing order.\nAnswer: -3, -2, 0, 4, 5, 2744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/20 and -109\/13958.\nAnswer: 139580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -444 - -341?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(121))\/sqrt(11)*-4 + sqrt(33)\/((sqrt(12)\/sqrt(2))\/sqrt(2)))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.7216 minus -0.01?\nAnswer: -128.7116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3066*m + 896*m + 1471*m + (-4 + 4 + 1)*(0*m - 4*m + 2*m).\nAnswer: -701*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -28. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3202848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375 at least as big as 2618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -159460*s**2. Let n(q) = q. Give n(j(l)).\nAnswer: -159460*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -151*k + 17. Let m be o(-6). What is the highest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*v - 7. Let x = v - -12. Let w(p) = -2*p - 2 + 5*p - 2 - 1. What is w(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250364018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11524106*p**4 + 15453546*p?\nAnswer: 138289272*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -546406 or -546446?\nAnswer: -546406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*a + 195 = 0, -2*f + a - 117 = -2*a. Let h = f - -139. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuofuuwwwu. What is prob of picking 1 u and 1 f?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -790 + 792. Let f = -6 + 4. Let h be 0\/(f - (-2 - t)). Solve 2*v + 3 - 1 = h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -6, 4, 9, -1, 3, -9 in decreasing order.\nAnswer: 35, 9, 4, 3, -1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -16799763.24 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 4*p**2 - 5*p - 4. Let l be (-8)\/(-1 - 1) - -1. Suppose 0 = -o + l. Determine i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237.599983635 - -237.6. Round i to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31027 smaller than -31028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 10. Let a be i(0). Suppose 1165 = -5*j + a*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23.153447, -3, 4\/7 in decreasing order.\nAnswer: 23.153447, 4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -174f2 + -e?\nAnswer: -17500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 5*i - 12*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 times -5.71?\nAnswer: -1644.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 670220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 47871368?\nAnswer: -1\/23935684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 + 15*r**2 + (-3*r + 4*r - 3*r)*(r - 1 + 1) + 4*r**2 - 3*r**2 - 2*r**2 as o*r + h + d*r**2 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8994*p + 5. Let r be a(-7). Let z = 35518 + -18555. Let q = r - z. Round q to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from fzjflztqj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 7*t + 2. Suppose 0 = 12*c - 11*c. Let s be w(c). Solve -5*f = -s*k - 12, -3*f + 4*f = -2*k + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 178717.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 75 = -5*v, -10 = 4*v + 5*t - 71. Suppose -q - v + 24 = 0. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -81. Suppose l = -5*h + 2*v + 45, 0 = 5*h + 5*v + 46 - 126. Is h equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -696*w**2 + 2795*w - 23. Determine u(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -80*f. Let b(q) be the third derivative of -q**5\/30 + 44*q**2. Give b(h(g)).\nAnswer: -12800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 540650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 11*l**2 + l - 5. Let c be p(11). Find the third derivative of d**c + 0*d**6 + 0*d**6 + 2*d**2 + d**2 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30033315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4114 and 10492757?\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/(-22) - 2 - 7\/77\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1433 + -0.0567. What is the nearest to -1 in n, 4, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(-95)*45\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -6. Let y(b) = b**2 + 3*b - 8. Let g be y(n). Let h be (g - 1)*-2*34\/(-51). Calculate the highest common divisor of 108 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 6. Let j be b(9). Suppose -18*f + 3240000 = -j*f. Round f to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1465951*i**3 + 10083*i**2 - 5 wrt i?\nAnswer: -8795706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 21593?\nAnswer: 151151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**14)**(1\/48)\/(m**(-4\/13))**(-2\/27) assuming m is positive.\nAnswer: m**(1627\/5616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 - -197. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4 + 1. What is s in -s**2 + 3*s**2 - w*s**2 + 0 + 1 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 14*k**2\/3 - 142*k - 2240\/3 = 0.\nAnswer: -32\/7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 2*t - 4. Let j be k(10). Suppose -11*f - j = -13*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00102164709 to 6 dps.\nAnswer: -0.001022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19458, -19446, -19418, -19368, -19290, -19178, -19026, -18828?\n\"Answer: a**3 + 2*a**2 - a - 19460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23847274.8 nanoseconds in days?\nAnswer: 0.000000276010125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let i be r(-1). Let z be -6 + 13 + 12\/(-3). Suppose 39 = z*x - 6. Solve b - n = 2*n - i, -x = -b - 5*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q - 78. Let f = 74 + q. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1152)*-1 - sqrt(1152)) - 1*(sqrt(1152) - (sqrt(1152) - sqrt(1152)*2)))\/((-3*(sqrt(9) - sqrt(9)*2) + (sqrt(225)\/sqrt(5))\/sqrt(5))*-4))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 at least as big as -136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/14))**2 assuming l is positive.\nAnswer: l**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2 + 3607*y + 7218 = 0.\nAnswer: -2, 3609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -992600 divided by -35450.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223789.4ml in litres?\nAnswer: 223.7894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8588 - 4022 + 2*d - 3627.\nAnswer: 2*d + 939","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -747045 or 5?\nAnswer: -747045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 14 - 2. Let l be (392\/42)\/28*(-1 + -2). Calculate the remainder when 37 is divided by 7 + x + (4 - l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1050 - 2479*k**3 - 527 - 523.\nAnswer: -2479*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-3)\/(-2))*-1982. Suppose 5*i + 13 = -4*k, 0 = k - 2*k - i - 2. Suppose -q = 4*t - k*h - 3546, -5*t = 4*h - 3217. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9023, 7243, 5461, 3677, 1891?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.0017 - -1.0017. What is the nearest to n in 0.5, 45, 3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -30*i - 34, 2*j = 55458*i - 55454*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -570 + 345. Let n = 1571\/7 + l. Let b = 6 + -2. Put 0.7, n, b in decreasing order.\nAnswer: b, 0.7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -2 (c) 0.4 (d) 0.9 (e) -0.1391 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + c - 5*c = 1, 0 = 4*v - 4*c - 28. Suppose 2*w = v*w - 4. Let z(a) = -a + 0*a + w*a. Let h(m) = 3*m**2. Give z(h(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-33)\/(-12) - 3) + 15\/28. Let s = j - 11\/14. Let v = 9 + -15. Put -4, s, v in ascending order.\nAnswer: v, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -1\/7 (b) 5 (c) -0.3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - (-1 + 0 - -1). Let g be 1\/2 + 132\/w. Let x = -7 - g. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(8208) - sqrt(8208)*-1 - sqrt(8208)) + sqrt(513)*-4)\/((sqrt(1500)*-2 + sqrt(1500) + sqrt(15))\/(sqrt(25)\/(sqrt(10)\/sqrt(2)))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -2, 1\/3, -4, -15, 151?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*r + 4 = 0, -b - 2 = -0*b + r. Let x(y) = -y + 7. Let c be x(3). Suppose 0 = -c*a - 1 - 11. Is a less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 1:21 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112211201122 - -2?\nAnswer: -112211201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 54. What is the greatest common factor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 5. Let k(j) = -j + 4 + 1 - 3. Give 7*k(g) - 3*u(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1\/2 + 201\/134. Solve d*q + i - 7 = 2*q, -2*q - i = -9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*x**2 - 7*x**2 - x**5 - 8*x**2 + (-x**2 + 5*x**2 - 2*x**2)*(6*x**3 - 2*x**3 - x**3) - x**5 - 3*x**2 + 3*x**2.\nAnswer: 4*x**5 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526332 is divided by 311?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**2 - 6*c - 15. What is the remainder when 184 is divided by w(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10504\/1 + (-234)\/52*(-6)\/(-9). Solve q*c - 10500*c = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m + 19. Let d(t) = -17*t - 18. Let r(f) = 2*d(f) + 3*s(f). Let b(y) = 5*y + 10. Give -13*b(l) + 6*r(l).\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 18*m - 3*m**2 + 14*m - 2*m**3.\nAnswer: 2*m**3 - 3*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3643061 - 1?\nAnswer: -3643062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -4 (c) 1.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-290)\/22330)\/(2\/(-44))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-29)*c**(1\/12)*c assuming c is positive.\nAnswer: c**(-335\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 24*y - 23*y = 25, -2*y + 2 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 4*t + 27, -2*t + 120 = 5*m + 139 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiieiriribingbbnn. What is prob of picking 3 r and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 214319.\nAnswer: -85727.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26458 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632395?\nAnswer: 5, 79, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1548000 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1018052\/15 - -67797. Let i = -73 - n. Let s = i - -1\/15. What is the third biggest value in -3, -0.5, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 44 (c) -0.2 (d) -51 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -122366216 (base 7) in base 6?\nAnswer: -433201445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 less than -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28035, 28035, 28039, 28047?\n\"Answer: 2*m**2 - 6*m + 28039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1845 and 61\/492.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:19 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*h - 53*h = 171*h - 9775 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14.3 times -138.3\nAnswer: -1977.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3292*l + 728*l**2 - 3292*l + 364 wrt l?\nAnswer: 1456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (100\/(-10))\/150*5\/(-12). Is 1\/25 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1515 is divided by 376.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2858 - -2875. Suppose -4*s + 202 = -2*s. What is the remainder when s is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 51. Let u(b) = 33*b**m + 4 + b - 5 - 32*b**2. Give u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*13\/(-1456) - 735\/56\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -6 + 24 - (-23 + 26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**6\/720 + z**5\/120 + z**4\/4 + 5*z. Let f(u) be the third derivative of g(u). Let j(i) = -4*i - 6. Give -6*f(l) - j(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 13. Let t = 121 + -89. Calculate the remainder when t is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204348 and 510870?\nAnswer: 1021740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 447\/(-7) + 3\/(-21). Calculate the remainder when 59 is divided by 5\/(-4)*z\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*r + 22453 = 22*r - 3541 for r.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 8*u - 5. Let i be c(7). Calculate the lowest common multiple of 2 + (1 - 2 - -3) and i\/9*1*(25 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*r + 3 = 0, 43*t - 39*t = r - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/222470 and -20\/1535043?\nAnswer: 15350430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 594 - 359. Is o >= 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(162)*-2 + 0.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {z: 2, s: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.2958791146 and -2.\nAnswer: -10.2958791146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1147*u**3 + 3*u + 1147*u**3 + 694 - 60*u**4 - 674 to the form q*u + f + h*u**3 + z*u**2 + g*u**4 and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11670*j**3 + 77 + 9850*j**3 + 0*j**2 + 24 + j**2 wrt j?\nAnswer: -10920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*7\/105*1482\/2. Suppose 5*m - 3*r - 648 = 0, h = 2*m - r - 13. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/77))\/s*(s\/(s\/(s\/(s\/((s\/s**(-1\/8))\/s)))))\/s*s)\/((s*(s\/s**(-4\/3)*s*s)\/s)\/(s*s**23)))**(5\/4) assuming s is positive.\nAnswer: s**(182635\/7392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 5688518.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {k: 2, f: 1, a: 3, p: 3, i: 1, z: 5}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 25*s**4 + 11*s**4 - 10 with respect to s.\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(-496)\/(-93)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 1, 8.14, -0.1, -1038?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-10 - 253\/(-22))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - (1 - 0)) - (11527 + -11557)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(-4)\/(8\/26). Suppose r + 4*k - 46 = 90, 0 = -3*r + 3*k + 453. Let p = r + w. What is the remainder when p is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -24*y**3 - 24*y**3 - 12*y**4 + 3*y**3 + 24*y**2 + 45*y - 12 = 0.\nAnswer: -4, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 1. Let w be h(-2). Let n = w + -2. Solve -n*z + i - 7 = -0*i, 3*z = -2*i - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 23 - 7 = 0. Let u = s - -6. Let k be (-2)\/2*1 + u. What is the greatest common divisor of k and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-1)\/((1 + 0)*1). Suppose f = 3*x - 7*x + 416. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3361 - -3365. Let p(r) = -r**2 + 11*r - 14. What is p(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {m: 1, z: 2, b: 4, x: 1, t: 3, r: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/(-100)*6\/(-5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 80*g - 454. Suppose -3*k = -6*k + 6. Calculate the lowest common multiple of k and p(-33).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5055 + -7709. Let x = -1894 - g. Round x to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -517, 2037, -88 in ascending order.\nAnswer: -517, -88, 2037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 72. Let z be y(0). Suppose 0*k + z = 6*k. Suppose -k*o + 14*o = 1874. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71533331 to the nearest integer?\nAnswer: 8458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -87*a - 19*a = 74*a - 4320 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/5 + 24716*h\/5 + 221634 = 0. Calculate h.\nAnswer: -12313, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from oogugnnzunoouzuz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 97 = 2*k, 150 + 13 = 5*u + 2*k. Let p = u + -33. Suppose p = 7*l - l - 528. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*(-3)\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63744 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.26 - 0.04. Let s = 1 + w. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -1*sqrt(13))*5 + sqrt(117)\/(2*sqrt(9)).\nAnswer: 21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 2 - 3)*(-2 + 13 + 0)*(-n + n + 1 - 2*n)*(4 - 3 - 3) - 2*n - 4*n + 3*n as c + d*n and give d.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**4 - 2*j**3 + j - j**3 + 4*j**4 - 2*j**4 in the form k*j + z*j**4 + q*j**3 + d + l*j**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4679 + -4676. What is the nearest to t in -2\/13, 46, -8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Let m = 17 + 167. Suppose b*x + 2*c = m, 5*x - 2*c - 238 = 243. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(-1 + sqrt(17) + 0)*-2 + (4*(sqrt(204) - -2*sqrt(204)))\/((sqrt(120)\/sqrt(2))\/sqrt(5)) + 0.\nAnswer: -4*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1153354121 (base 6) to base 7\nAnswer: 221166133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5422202 + 124?\nAnswer: 5422326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*sqrt(832) - sqrt(832))*1 - (-1*(sqrt(13) + 0) + sqrt(13)*-1 + 4 + 4))**2.\nAnswer: -208*sqrt(13) + 8804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2\/5, 0.6, -1.994, -3?\nAnswer: -1.994","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*a - 3*a + 11, 3*u = 5*a + 5. Let l(z) be the third derivative of -z**4\/8 + z**3\/6 + 81*z**2. Determine l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41092579 to the nearest 100000.\nAnswer: 41100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4403.4928 and 0.3463.\nAnswer: 4403.8391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 12*n = 0. Let j = 6 + -5. Let f be 20\/(-6) + 5\/15. Sort n, f, j.\nAnswer: f, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + -3 + -40*27\/(-225).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:31 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-3))\/(-3)*8. Suppose -5*m = -18 + 63. Let o be h\/12 + (-2)\/m. Which is greater: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-168)\/(10 + 4)*2\/(-6). Suppose -p*r = 16, -4*f + 39*r = 38*r - 3480004. Round f to the nearest ten thousand.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from jhhxhjhjhaxjh.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4354958638 - -0.6\nAnswer: 4354958638.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412302 is divided by 51534?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 18 = 46*o. Let n = 647 + -646. What is the nearest to o in -4, n, -0.019?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.71 + 1.51. Sort 100, -5, 0.1, x in decreasing order.\nAnswer: 100, 0.1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 + -103. Suppose 3*x - u = -40, -x + 5*u - 17 = 15. Let n = x + s. Calculate the highest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25321.39 and 1?\nAnswer: 25321.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28041787429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + d - 13 = 0, 3*n + 39*d - 5*d = -365 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47453021 and 3773?\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19*d - 26. Suppose 4*w - 7*w = 48. Let g be w\/12*45\/(-10). Does 22 divide c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 - -166. Suppose -k - v*l + 14 = 4*k, 0 = -k + 5*l - 8. Solve 0 = -k*r + 13 - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7124298594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394629140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398883190.\nAnswer: 2, 5, 1777, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*-2*(((sqrt(2057) + -1)*-5 - -2*-1*sqrt(2057)) + 1))**2.\nAnswer: -88704*sqrt(17) + 9679584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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 nearest to 2\/5 in -0.123, 22, 0.5, -4, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*u - 9. Let x(p) = -p**3 + 5*p**2 + 6*p + 3. Let r be x(u). Solve r*q - 12 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*f - 29, 5*h + 4*f - 88 = -0*h. Let j = 79 + 21. What is the greatest common divisor of j and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose 4*z + d*q = 2*q + 15, 2*z + 4*q - 18 = 0. Let y = z - 1. Solve -x = 2*p + 4, 2 = 3*p + 4*x - y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5578763 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008795 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)*s**(-14)\/s)\/((s*s\/(s**(-1\/4)*s))\/s**3) assuming s is positive.\nAnswer: s**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (494 - 494 + 7*l)*(-2*l**2 - 2*l**2 + 3*l**2) to f*l**2 + i*l**3 + n + h*l and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -149 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1281917701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46457819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7195, -14395, -21605, -28831, -36079, -43355?\nAnswer: -50665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 71, 68, 65, 62, 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w*w**(-1\/43))\/(w**(2\/21))**(-1\/49) assuming w is positive.\nAnswer: w**(-177931\/44247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t - 52. Let v be h(5). Suppose -9 = v*y - 15. Suppose 5*i - 9 = 2*i, -i = -3*u. Solve y*r - u = 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(8)\/sqrt(4)) - (0 + sqrt(8) + -2)) + (sqrt(24)\/(sqrt(144)\/sqrt(3)))**2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*o**2 - 436*o - 36*o**2 + 427*o)*(0*o**2 - 2*o**2 + 3*o**2) in the form d*o**2 + c*o**4 + l*o + w*o**3 + u and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 - 28\/(-12). Suppose 0 = -5*a + d*n + 2*n - 22, -5*n = a - 13. Does 3 divide (-15)\/6*a\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 23*c - 96. What are the prime factors of n(9)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17\/2)*j)**(-32) assuming j is positive.\nAnswer: j**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.21 - -0.79. Which is the second smallest value? (a) s (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g - 5. Let o be q(0). Let w(p) = 5*p + 2. What is w(o)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13*j + 0 + 16 + 21*j - 6*j. Let b be -2*14*(-2)\/(-8). What is the units digit of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -17. Let y = q + 10. Which is the nearest to -2? (a) -5 (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a105b830 + -2?\nAnswer: -a105b832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104886 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n + 7. Let p(x) = 8*x - 23. Let v(w) = -24*w + 70. Let q(k) = -10*p(k) - 3*v(k). Let a = -63 - -77. Determine a*f(l) - 5*q(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:12 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 51 + -38 + -5 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(2125\/(-986)))\/((-14)\/(-35)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*44\/946 - (-169404)\/(-58824).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 14 = 4*q. Let d(i) = 106*i**3 - 8 + 3*i + 8*i - 3*i**2 + 40*i**3. Let l be d(q). What is l rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 19, 31, 43, 55, 67?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/30 and -82\/29895?\nAnswer: 59790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4 + 5*m + 4. Let q be r(1). What is the highest common divisor of 35 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*((-201)\/1206)\/(3\/1)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3062 divide 495624506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 9:28 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 12*f + 15*f + 29*f + 270*f**3 + 10*f**5 + 232*f**2 - 4 + 104*f**4 + 4 = 0.\nAnswer: -7, -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (-10 - -20))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10759, 42955, 96593, 171667, 268171, 386099, 525445?\nAnswer: 686203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10343*s + 2896. What are the prime factors of n(-3)?\nAnswer: 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 0, 285, 53, 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1672049924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 2*b + 10, -4*b = 7*k - 3*k - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:19 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17))**(-6\/7) assuming x is positive.\nAnswer: x**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539 = 26*b + 215. What is the third smallest value in 0.2, -0.4, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(147)*-3 - -1*(1 + sqrt(147)))**2 + -1)*1.\nAnswer: 98*sqrt(3) + 7202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.575689 to 3 dps.\nAnswer: -43.576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7286, 14570, 21854, 29138, 36422?\n\"Answer: 7284*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 - -18534739.\nAnswer: 18534989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*n**3 + 17*n**2 + 4*n.\nAnswer: -n*(n - 1)*(21*n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and (-4 - (-171344)\/408) + 2\/51.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1507993538 and 1.2?\nAnswer: 1507993536.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 9:00 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98747.9 weeks in nanoseconds?\nAnswer: 59722729920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 4 (c) -3 (d) -2\/63 (e) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + -2 + sqrt(275).\nAnswer: -2 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 5*g**2 - 6*g + 2. Let f be a(6). Let x = -2 - -2. Suppose x = q + f*q - 18. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w. Let y(q) = -36335*q**2. Determine y(o(b)).\nAnswer: -1308060*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*u + 12 = 23, -10*u - 54 = -48*c - 17*u + 10*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.04.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150959170 a multiple of 1655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 - 9*v + 10. Let g = 9 + -2. Does 15 divide c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 331*u + u**2 - 10*u**5 - 200 + 4*u**5 - 194 + 396 wrt u.\nAnswer: -120*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 324.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49 - 180?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 5*p**2 + 2*p - 6. Does 4 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -17*n**3\/3 + 268*n. Let k(i) = 33*i. Determine 4*f(s) + 5*k(s).\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cec when three letters picked without replacement from ccecccccccccecccccc.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4197, 2309, 421, -1467, -3355?\n\"Answer: -1888*y + 6085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*h - 25. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 84*k - 3734 + 4246 + 28*k.\nAnswer: -4*(k - 32)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -41. Which is the fourth smallest value? (a) 135 (b) k (c) 3 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 21*x**2 + 35*x - 36. Let n be q(-19). Suppose n*m = 35*m - 2380. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -374745 - -0.5\nAnswer: -374744.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29642?\nAnswer: 2, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7098 = -16591*t + 16864*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 12*s**2 - 9*s - 13. Is x(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.024 + 3.976. Let y be 9\/(-24) - (-2)\/4. Which is the closest to 1? (a) -1 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 + 17 = -22*b. Let s(g) = 91*g**2 + 8*g - 16. Is s(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -265\/519?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 6*u - 5*u - 4*u. Let f(k) be the first derivative of 0*k**2 + 1 + 0*k - 2\/3*k**3. Give a(f(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/12*504\/120?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*y**2 - 71*y + 71*y - 133*y**2.\nAnswer: 203*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72.3 - 73. What is the nearest to -1 in -6, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4, -1383, 0.5, 2?\nAnswer: -1383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 0*x**2 + 0*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-11)*(-20911)\/(-1901).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -69. Let a be (-917)\/15 + 4\/o. Let u = a - -106. Calculate the least common multiple of 15 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 - 3*h + 1. Let o = -1787 + 1789. Calculate t(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0591, -3, -1 in descending order.\nAnswer: 0.0591, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 5*s**6\/2 - 22*s**5 + 95*s**4\/2 + 60*s**3 - 405*s**2\/2 - 270*s + 21. Factor o(q).\nAnswer: 5*(q - 3)**3*(q + 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.3 (c) 2\/3 (d) 309 (e) -232 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3531104 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 + 14. Suppose -3*m + 16 = -5. Let i(q) = 8*q**2 + 21. Let z(g) = m*c(g) - 5*i(g). Differentiate z(o) with respect to o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50278760 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118993 or -37\/5?\nAnswer: -118993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60480*u - 60480*u + 92*u**2.\nAnswer: 92*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 43*p**2 + 133*p + 2091. What is h(-41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 15*g**2 + 15*g + 12. Let v be x(-14). Let f be (16\/20)\/(v\/(-5)). Factor -3*p**3 + 8 + 5*p - p**3 - 5*p - 6*p**2 + 8*p + f*p**4.\nAnswer: 2*(p - 2)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 10*s - 4. Suppose -4*y - 22 = -2*c, -4*c - s*y + 5 - 1 = 0. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1093 + -1040. What is the remainder when 123 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -55*l. Let b(t) = -18*t. Give b(i(v)).\nAnswer: 990*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -38. Let w(h) = -13*h + 34*h + 0 - 18*h - d. Give w(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 9 + 14*c**3 - 21*c**3 wrt c.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -30 + -63 + 0 + 30\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -187*y + 654. Let o be s(-6). What is the highest common divisor of 192 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/(-50) + 156\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**3\/6 + 19*d**2\/2 - 5*d. Let g be i(-12). Let z be (-8)\/28 - (-2)\/g. What is the nearest to z in -1, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**3 + 11*j**3 + 38*j**2 - 52*j**2 wrt j?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + p**3 - p**3 - 2*p**3 - 5*p**2 + 5*p**2 + (0*p**2 - 2*p**2 + 0*p**2)*(-4 + 2*p + 4).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -42. Let z = i + -1. Is z\/18 - (-5831)\/42 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k**3 - 6*k**2 + 4. Let v = -8289 - -8300. Let p(r) = 20*r**3 - 11*r**2 + 7. Determine v*t(a) - 6*p(a).\nAnswer: -10*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -880591*w**4 - 224218*w wrt w?\nAnswer: -10567092*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7298 - 3.2702. Which is bigger: -417 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00089343364 rounded to five dps?\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 8*s**2 - s + 214. Suppose 6*m = 3*m + 264. Calculate the least common multiple of m and c(10).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9*9\/(-27))\/4. Which is the nearest to 1\/19? (a) 2\/7 (b) -7 (c) -2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (0 + -7 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42809, 42554, 42299, 42044, 41789, 41534?\nAnswer: 41279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/19, -1\/4, -2\/13, -2\/9, -923, -5?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -145, -288, -431?\n\"Answer: -143*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1622798484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 2:54 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 18) + (0 + 0 - (-4 + -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 1335 - 3388. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - (15 + -5 + -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -9 + (-3 - -3) + 1. Put 4, -4, y in decreasing order.\nAnswer: 4, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 7, -3, 11, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6775 at most as big as -6775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 861*q - 426*q - 434*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7 + 1 = 0. Let d(q) = 2*q - 2. Let x be d(-2). Let h be ((-4)\/x)\/(4\/78). Solve 0*f = n*f - 3*g - h, -8 = -f + 2*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182758 is divided by 313.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b**2*o**5 + 154*b**2*o - 17*o**6 + 2*o**2 wrt o?\nAnswer: 600*b**2*o**2 - 2040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -24214748\nAnswer: 1\/24214748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h. Let x(c) = c**2 - 3*c + 268. Let s be x(0). Let n = s + -122. Let w(p) = -146 + p + p + n. Calculate w(u(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 1944.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mttm when four letters picked without replacement from {b: 2, m: 11, t: 2}.\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 + 2410*u**2\/9 + 878224*u\/9 + 86216864\/9.\nAnswer: 2*(u + 157)*(u + 524)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157215680 divided by 31443136.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(176)*-1 + (sqrt(176) + 0)*-4)**2.\nAnswer: -160*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = -2*c + 4085. Suppose c*u = 206*u + 252. Which is bigger: u or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53 + d?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 3*m**2 + 3*m - 5. Let f be g(-4). Let j = 3 + 0. Suppose 141*u - 4 = 137*u. Sort u, f, j in descending order.\nAnswer: j, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46684365?\nAnswer: 3, 5, 7, 13, 23, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i - 69*i + 6657 = 0. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13658617 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 88 and 348.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 28 (c) -5 (d) -1.6 (e) 5 (f) -922\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111971758.\nAnswer: 2, 17, 3293287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 579768 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 45. Which is smaller: -5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16488717 and 0.5.\nAnswer: -8244358.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k + 10. Let p(i) = 5*i - 9. Let f(m) = -34*m - 1500. Let v be f(-44). What is v*q(j) - 5*p(j)?\nAnswer: -j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*s - 40, 0 = s + 8*i - 4*i + 12. Suppose q - 16 + 81 = s*n, -3*q = 3*n - 60. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1830300 to the nearest ten thousand.\nAnswer: -1830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 * -9.8.\nAnswer: -43.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 54 = 9*y. What are the prime factors of 472\/y - 2\/9?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*d**3 - 985*d**2 + 29*d**3 + 1961*d**2 - 978*d**2.\nAnswer: -200*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-eight sevenths of a week?\nAnswer: 1872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/7 - 2\/7. Suppose -5*u - s*o = -15 - 7, 0 = 2*u + 4*o - 20. Suppose u*g - 2*c = 6 + 24, -2*g - c = -15. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)*85 + 1. Let r = 146 + x. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 divided by 30.\nAnswer: 68\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 5, 323, 1, 0, -2\/15, -834?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 5*w**2 - 11*w - 31. Calculate y(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q**5 + 120*q**4 + 132*q**3 - 174*q**2 - 153*q + 54 = 0 for q.\nAnswer: -3, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/315)\/(16\/(-160)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + g + 1. Let c(d) = d**2 + 3*d + 5. Let p(k) = c(k) + 2*v(k). Let u(b) = -b + 2. Let f be u(7). Let l(a) = a + 10. Let j be l(f). Give p(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 - 2*d - 3. Let m be a(4). What is the third derivative of 4*r**2 + 2*r**3 + r**m - r**2 - 2*r**3 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-277)\/39)\/((-12)\/9) - 2002\/26026.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 4*g + 185, -2 - 286 = -4*k + 5*g. Let l = k - 66. Calculate the common denominator of 16\/33 and (-217)\/(-21) - (5 - l).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3\/4, -0.03, 4, -72, -2\/7 in descending order.\nAnswer: 4, 1\/2, -0.03, -2\/7, -3\/4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -45057930 divided by 109630?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-630290)\/(-4)*(-6 + (-128)\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/13, -1, -3\/8 in ascending order.\nAnswer: -3, -1, -3\/8, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.06 - 0.06. Let x = t + -2.3. Suppose -4*p = 3*y - 0 - 1, 0 = -3*y - 3*p - 3. Which is the smallest value? (a) y (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 491, -0.1, -17, 162.\nAnswer: -17, -0.1, 3, 162, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 1)*(21*j + 1 + 33*j - 75*j)*(6*j - j - 3*j) in the form y + t*j**2 + b*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/100 + 175*d**4\/12 + 191843*d**3\/30 + 190969*d**2\/10 - 4*d + 12. Let o(r) = 0. Calculate r.\nAnswer: -437, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 24*v**3 + 27*v**2 - 117*v + 167. Let r be g(6). What is the highest common divisor of r and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n - 104. Let t be r(-19). Let u be 6\/(((-54)\/(-8))\/t) + 4. Is u smaller than 3.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 10. Suppose 3*j = 8*j + 3*m - 153, 136 = 4*j - m. Suppose 1 = 4*c + j. Is 10 a factor of f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6415*c**2 - 205315*c - 1124. What is y(-32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 1, 44, 115, 220, 365?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)*63\/(-7). Let o be ((-11)\/5)\/((-3)\/15) + 4. Is o greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2822008 and 784?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + 2.6. Let k = -2.9915 + w. Round k to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c2 + -128563?\nAnswer: -128381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-742)\/42)*(-6)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48048922381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17170 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005269 rounded to four dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 431 by -1.\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024*p - 47 - 582*p - 440*p.\nAnswer: 2*p - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-2)*(16\/10)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6836106, -6836102, -6836098?\n\"Answer: 4*r - 6836110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/5 + 2438*o\/5 - 34524\/5 = 0. What is o?\nAnswer: -1233, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34262, -34254, -34246?\n\"Answer: 8*p - 34270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x = 2*u, -u + x = 10. Let q = 2 - u. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 3005*a + 8030028.\nAnswer: -(a - 8014)*(a + 2004)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807859643 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let c(s) be the third derivative of -s**5\/20 + s**4\/6 - 610*s**2 - 2*s - 1. Calculate c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 156 + 44 = -52*j + 55*j, 3*y + j + 42 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72949 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/u**0)\/(((u*u*u**(-6)*u)\/u*u)\/(u*u*u**(-1\/4)\/u)))\/((u**(-5)\/u*u)\/u**(4\/9))**(-31\/2) assuming u is positive.\nAnswer: u**(-2795\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 - 3. What is the remainder when i(4) is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*o + 5*o. Suppose 5*l + 14 = -11. What is the tens digit of 40\/4*o\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(10)\/sqrt(5))*-3)**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/11, -5, 0, 5\/6, 3\/2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from zzrrrzzrzzzr?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1446 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 25 + 10, 4*j - 4*w = -128. Suppose -160 = h - 48. Let y = j - h. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 25*f**4 + 5*f**5 + 0 - 6356*f**3 + 12449*f**3 - 6258*f**3 + 135*f**2.\nAnswer: 5*f**2*(f - 3)*(f - 1)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 2. Let t = -7 + 5. Let y be l(t). Suppose -g + y*g = 5. Solve -g = 2*d - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(-1 + 4 - 5) - 1 + 2 + 1)*(b - 4*b + b)*(2*b**4 + 19 + 3*b**4 - 7*b**4).\nAnswer: 16*b**5 - 152*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = -3*g, 3*g + c - 9 = -2*g. Suppose -49568 = g*i + 11552. Let s = -1527877\/50 - i. Calculate the common denominator of 73\/22 and s.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2508837, -5017721, -7526605?\n\"Answer: -2508884*t + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*j - 14. Let h be (2\/j)\/((-7)\/(-3)). Let c be 3 + 1*(-8 + 4). Is h bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*y = 7731 + 6177 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b. Let g(v) = -23*v**2 - 15*v**2 - 107*v + 31*v**2 + 216*v - 111*v. Give n(g(k)).\nAnswer: 35*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/1212215 and -47\/3320?\nAnswer: 9697720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1106 and -4.\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -200771 + -21?\nAnswer: -200792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/428 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/24 - 177\/8. Let r = 11\/20 + -14\/5. Calculate the common denominator of s and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*x**3 + 0*x**2 + 6\/7*x - 4\/7.\nAnswer: -2*(x - 1)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {v: 2, x: 2, s: 1, u: 1, j: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*b - 257, -3 + 1 = -b. Suppose 5*g - a = 2*g. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402468468 + 18*i**2 - 6*i**2 - 402468468.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcjccjcjjcj. What is prob of picking 4 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-9))\/(1\/(-1)))\/(3*30\/(-1530))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -103.7. Let k be (8\/12)\/((-26)\/(-6)). Which is the closest to -2? (a) z (b) k (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -154*w. Suppose -798*y + 805*y + 42 = 0. Let c(s) = 5*s. What is y*b(f) - 187*c(f)?\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1*(26\/182 - 16395\/7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106601*u**2*v + 2*u**2 - 2*u*v + 25*u + 39682086*v wrt u?\nAnswer: 213202*u*v + 4*u - 2*v + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 585*n**3 + 91*n - 91. Let c(k) = 13*k**3 + 2*k - 2. Let a(m) = 214*m + 1621. Let d be a(-8). Calculate d*c(q) + 2*z(q).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 59, -3\/5, 1866, 1\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4833271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/17530893 and 24\/21426647.\nAnswer: 192839823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/99 and -35\/1059.\nAnswer: 34947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14113?\nAnswer: 11, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 11 + 12\/(-3). Solve 5*s**2 - 1 - 4*s**4 - 5*s**4 - 3*s + g*s**4 + 3*s**3 + 2*s**4 = 0 for s.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -53.05. Let d = -53.00000062 - g. Round d to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -8, -18*d = -569*f - 22*d + 1715 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -31, -6, 45, 122, 225?\n\"Answer: 13*k**2 - 40*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 45 = 3*t, 52 = -5*t - z - 23. Which is the smallest value? (a) 0.3 (b) -0.06 (c) t (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 6*k + 144. Suppose -4 = -k*l + 28. Let a(h) = 6*h + 1. Let c(p) = 5*p. Give l*a(d) - 3*c(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -43 in decreasing order.\nAnswer: 3, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2810, -7374, -14982, -25640, -39354?\nAnswer: -56130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10568*p**3*w**2 - 318*p**3*w - p**3 + 3*p**2 - 20*p*w**2 wrt w?\nAnswer: 21136*p**3 - 40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + (sqrt(147) + -4)*-6 + sqrt(147) - 4*sqrt(147)*-1)*-3*-6)**2.\nAnswer: 186624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*z**3 + z**2 - 5*z**2 + 6*z**2 wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, b: 1, l: 2, i: 4}. Give prob of sequence ieil.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -2*r**3\/3 + 3*r**2\/2 - 4*r. Let n(h) = -h + 1. Let u(v) = -l(v) + 3*n(v). Calculate u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 8095475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 158*t**2 + 653*t - 27359. Give a(161).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/54 and (-1037)\/12444 + 907\/15528*2.\nAnswer: 34938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 + 15*z**2 - 9.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377223770.\nAnswer: 2, 5, 7, 11, 489901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 8*q + 28 = -6*q + 3*q, -4*t = q - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -7\/5, 132\/5 in descending order.\nAnswer: 132\/5, 1, -7\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(187) + -1*sqrt(187) - sqrt(187) - sqrt(187)) + sqrt(187)) - sqrt(187) - sqrt(187)) + sqrt(187))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:09 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254*b**4 - 618*b**2 wrt b.\nAnswer: 6096*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.07 and 0.3.\nAnswer: -13.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f**2 - 77*f - 29. Is j(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:58 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjpfiijdjjddpif. What is prob of sequence id?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/(-3))\/10)\/((-25)\/90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-3*d + d + 4*d) + (-2 - 5 + 3)*(2*d + 2*d - 2*d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (185*l - 264*l - 262*l)*(0 + 0 - l**2)*(-3*l + 4*l - 2*l) to d*l**3 + c*l + x + b*l**2 + q*l**4 and give q.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 14*r - 29. Let k be x(-16). Suppose u = -0*u + k*u. Which is the nearest to u? (a) 3\/2 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1933138984 to the nearest integer?\nAnswer: 43967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, 4\/3, 4319\/10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 457866 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6107.4 decades to centuries.\nAnswer: 610.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c**3*j**3 + c**3 + 4221*c**2*j**3 + 2*c**2*j**2 - 2770*c*j**2 wrt j?\nAnswer: 30*c**3 + 25326*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 1 - (12 + -7091). Suppose -19*q + o = -2057. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3 + (-114)\/(-18) + -2\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*(q\/((q\/(q**(3\/2)*q))\/q))\/q)\/q)\/(q*(q\/q**0*q)\/q))\/((q\/q**(2\/7))\/q)**(-38) assuming q is positive.\nAnswer: q**(-131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8*t + 6 = 0. Let p(f) = f**3 - 6*f**2 + 3*f - 8. Let r be p(6). Suppose 3*b - t*v = -2*v + 70, b + 3*v = r. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 30775.5 years?\nAnswer: 307.755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2976186, -2976180, -2976174?\nAnswer: -2976168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(9) - sqrt(729))*3)\/sqrt(192).\nAnswer: -23*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a - 243. Suppose 1198 = 33*d - 153 - 68. Calculate w(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 6. Suppose 3*q = 3, -a = -0*a + q - 4. Let o(v) = 3*v + 12. Let g(m) = a*o(m) + 5*j(m). Give g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 57 = 8*l - f, -4*l + 57 = 3*f. Let x = l + -21. Sort -3, x, 5 in descending order.\nAnswer: 5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71233, -71227, -71199, -71137, -71029?\nAnswer: -70863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28879426.\nAnswer: 2, 14439713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - (27 - -8 - -28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 + k + 3. Let z(s) = -3*s**2 - s - 3. Let h(y) = -6*w(y) - 7*z(y). Let d(a) be the first derivative of h(a). Give d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1075 + -1081. Let p(w) = 2*w - 8. Determine p(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314, -1783, -5260, -11591, -21622?\nAnswer: -36199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 655*d - 89940. Give s(137).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/30*(-7)\/((-14)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 231948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 570*v**2 - 743*v**2.\nAnswer: -1315*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -1 - (11 + 1). Calculate the common denominator of 53\/12 and s\/(-27) - (-67)\/(-66).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4756)\/517215*(-5)\/(-2)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*i - 2*i. Let x be (-6)\/i + 265\/25. Find the first derivative of 2*y**3 - 10*y**3 + x*y**3 + 10*y**3 - 7 wrt y.\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 650*d - 5869. Calculate u(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2) + (-17 - 1)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45987 is divided by 2702?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + -0.3499.\nAnswer: -26.3499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-1)*(3 - 21\/5). Let h be ((-4)\/5)\/(d\/7890). Suppose -6*o - h = -8*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -1 + (4 - 20) + 25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/(-60)*3\/9\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54595 divided by 5\nAnswer: -10919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/((-301)\/(-7310)*34)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50027 * -27\nAnswer: -1350729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 959.125 + -912. Let g = 112 - 65. Let q = g - b. What is q rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/17 + -52\/153. Put 0.03, f, -9 in descending order.\nAnswer: 0.03, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 31. Solve -2*c + p = -5, j*c - 12 = p + 2*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let a(g) = -7*g**2 + g**2 - 6*g**2 - 6*g**2. Give v(a(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6356189 millilitres?\nAnswer: 0.0006356189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175807\/14 + -12566. Suppose 4*h + 748 = 4*w, 0 = 4*w + h - 3*h - 740. Let i = 359\/2 - w. Calculate the common denominator of i and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 49 + 2124*t - 2124*t to i*t**2 + a + y*t and give a.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.2, 1\/2, 1, 3\/8 in descending order.\nAnswer: 8, 1, 1\/2, 3\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6 - 6*f**3 + 4*f**3 - 2*f - 2*f**3 + 20. Let b(z) = -z**3 + z**2 - z + 1. Let s(y) = 2*b(y) - q(y). Differentiate s(h) with respect to h.\nAnswer: 6*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mumgmugu. Give prob of picking 1 g and 2 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737173 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180003894?\nAnswer: 2, 3, 7, 4285807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.39, 6, -1\/2, 1\/26, -1\/6?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 3\/(-2))*-2. Let g(z) = -2*z - 6. Let a be g(-5). Suppose -4*m - 6 = h, -a*h = -2*m - 0*m + 6. Does m = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(-3) + 4\/(-6). Suppose 0 = -4*j + k + 5. Suppose 8*p = j*p + 20. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 966262234.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 15 + (-22 - -23) - 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 - 4. Let d(n) = 2*n**3 - 3. Let r(p) = 5*d(p) - 4*o(p). Let k be r(1). Let j = k + 39. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.17 and 1526765457.\nAnswer: 1526765453.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o - 6. Let g(x) = -5*x - 3. Let r(p) = 7*g(p) - 3*u(p). Give r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - u + 35 = 0, -4*p + 18564*u + 56 = 18563*u for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -225 divided by 3\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 2970*p.\nAnswer: -p*(p - 5940)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32302 (base 11) to base 14\nAnswer: -13178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/3)\/(-1 - -2). Let m(b) be the third derivative of b**5\/60 - b**3\/2 + 4*b**2. Give m(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d + -1042?\nAnswer: -da3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 + 95*y**3 - 175*y**2 + 85*y = 0. Calculate y.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 136629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -48*x + 2308. Let r be q(48). Let y(z) be the second derivative of -z**5\/20 + 5*z**4\/12 - 2*z**3\/3 + 2*z**2 + z. What is y(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873293683 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 133*p - 928. Let d be a(7). Solve n - 2*v - 2 = 0, 7*v = -d*n + 11*v + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12772 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 47, 4 in descending order.\nAnswer: 47, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3468630 and -157\/15180?\nAnswer: 6937260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2 + 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3 = 3*g, -2*g + b + 2 = 6*b. Let m be (-18)\/5*50\/(-20). Let v be (m + -13)*(-2)\/4. Which is smaller: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62.058 - -64.058. Let f = -114 - -235\/2. Put -3, 1\/7, c, f in descending order.\nAnswer: f, c, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3674.3 not equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, -16, -150, -410, -838?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 351\/800 - 23\/32. Let r = -32701 - -2452496\/75. Let q = r + c. Sort 2, -0.01, q in descending order.\nAnswer: 2, -0.01, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*g = -16*g. Solve 5*r + 1613 - 1643 = g for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.88 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1350 and 6.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/4 (b) -47 (c) -0.5 (d) -3 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -2\/9, 1\/2, -1033\/5?\nAnswer: -1033\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/30 + t**2. Let g be 7 + (0 + -1 - 2). Let n(x) = -525 - 2*x**2 + 525 + g*x**2. What is n(c(f))?\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose 10 = -2*q - 0*q, -b*v + 10 = q. Suppose -v*z + 3*z = o - 54000, 2*o - 27000 = -z. What is z rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1816645 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 8*k. Let i(v) = -v**2 - v. Let r(x) = g(x) + 8*i(x). Let f(t) = t + 1 - 1. Determine r(f(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2994\/(-3992)*(-104)\/(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 16*a + 26. Let c be j(-6). Let m = 79 + c. Calculate the highest common factor of m and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59761842509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a day in minutes?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-88) - ((-2928120)\/49632 - -59)*708\/14\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3402708740?\nAnswer: 2, 5, 1531, 111127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/19, -0.4, 3, 75?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-144)\/(-5460)*(-440)\/44.\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/60 + 11*q**4\/24 - 3*q**3\/2 + 7*q**2. Let k be s(10). What is the units digit of k - 3\/(1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4143 times 36?\nAnswer: -149148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 5*c**3 - 40*c**2 - 60*c.\nAnswer: 5*c*(c - 3)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 5*m + 3. Let b be t(5). Suppose -2*u = -b*l + 12, 0*u - 3*l + 12 = 2*u. Solve -p**2 + p**4 + 0*p**3 + p**3 + u*p**3 - p**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:41 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50*36\/450)\/((-2)\/(-12)*-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.45 (b) -3.9 (c) 6 (d) 7 (e) -6 (f) 1 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 - 2*v**3 + 2*v**2 + 5 + v**2)*(-4 - 2 - 6).\nAnswer: 24*v**3 + 12*v**2 - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114292 divided by -12.\nAnswer: -28573\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/64294, 1.95, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*t - t - 20040, 3*s = 4*t - 20036. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -172 + 17?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r - 4*o, -5*r + 7 = 4*o - 2*o. What is the greatest common divisor of r and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1421 - 2056 = 1159*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (8 + -26) - 5) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 6*h**2 - 2*h + 2. Give n(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23888, -191626, -646900, -1533476, -2995120, -5175598, -8218676, -12268120?\nAnswer: -17467696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0322 times 0.034\nAnswer: -0.0010948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -268 in 73, 2\/7, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4)\/(((-25)\/2)\/(-5)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1726*k - 15. Let a(g) = -2590*g - 24. Calculate 5*a(r) - 8*j(r).\nAnswer: 858*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + -68 + -32 + (-1 - 39)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1*1\/3). Let l be -5 + 38\/6 + (-6)\/(-9). Factor 1\/2 - 1\/2*h**5 - h**l - 1\/2*h + 1\/2*h**4 + h**k.\nAnswer: -(h - 1)**3*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/7)*h*h**(2\/7)*h**(-5\/13)\/h*h\/h**(-1\/11) assuming h is positive.\nAnswer: h**(564\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**5 + 9*w**4 + 3*w**3 - 5*w**2 + 6*w. Let o(d) = -6*d**5 - 8*d**4 - 3*d**3 + 4*d**2 - 5*d. Let a(u) = -6*o(u) - 5*p(u). What is q in a(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 86*q**2 + 159*q + 244. Let u be r(-92). What is u rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.35055 + 1.31063. Let h = m + 149.18782. Let n = -151 + h. Round n to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 3\/4 (c) -0.98 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*v + 107*v - 26. Let o be (-5 + (8 - v))*2\/(-4). Sort o, 25, -5.\nAnswer: -5, o, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*m + 15 = 122*m. What is the hundreds digit of (-4238)\/(-13)*(m - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -38 + -6 + (4 + 1 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 4:12 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + a = -11, 0 = -3*n + a + 4 - 29. What is the units digit of 7 + (15\/(-3) - n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -18*g + 60*g - 1693 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81 + 287 + 151 + 458 + 1078*q with respect to q.\nAnswer: 1078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195354.0378 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/18 - (51 + -61)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - t - 10 = 0, 5*t - 10 + 45 = 5*k. Suppose -270 = -6*o + k*o. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/5, 0.2, -6229581 in increasing order.\nAnswer: -6229581, -5, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 at most as big as 141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -147881, -295936, -444161, -592556, -741121?\n\"Answer: -85*v**2 - 147800*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*h - 2, 4*p + 31*h + 11 = 36*h. Suppose -4*c - 4 + 28 = 0. What is the highest common factor of c and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2. Let a(k) = 2766*k**2 + 5 - 1 - 3348*k**2 - 6. Give y(a(g)).\nAnswer: 1016172*g**4 + 6984*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3)*-4)\/(1\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2\/4 + 9069*f\/4 - 22635\/2 = 0 for f.\nAnswer: 5, 3018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 20. Solve f = 4*f + t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:36 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 10*u - 20. Let g be i(-11). Let x(d) = d**2 + 6*d - 28. Let s be x(g). List the prime factors of ((-8)\/(-8 - 0))\/(s\/(-229)).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 224 (b) -5 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-5)\/(-155))\/((-411)\/(-12467))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, 2779, 176 in ascending order.\nAnswer: 5, 9, 176, 2779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 7. Let b be d(6). Suppose 228*h - 2461 = 731. Solve -b*r - h = 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3573019127 to the power of 1\/3, to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 + 2. Let m = y + 0.7. What is the second smallest value in m, 2, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16400000 rounded to the nearest one hundred thousand?\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**2 - 78. Let j(p) = -62*p**2. Give l(j(f)).\nAnswer: -30752*f**4 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*t, 10 = 1269*a - 1270*a - 3*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = n + 19, -k - n - 84 = -81 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 50. Suppose -7*w = 3*v - 8*w - 19, 0 = 5*v + j*w - 13. Solve 0 = -v*l - t - 24, 17 = -3*l + t + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011100010010 - 11001100?\nAnswer: -10011011111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5\/4))**43)**(34\/5)*(z\/(z\/(z**(2\/9)\/z)*z))**(3\/13)*(z**6\/z)\/(z**4\/z) assuming z is positive.\nAnswer: z**(-28385\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(98)*1 + 4)*-2.\nAnswer: -14*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + k - 1 = -0*k, -5*y = -3*k - 19. What is the second derivative of 6*c**2 + 2*c - 17*c**y + 10*c**2 wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 11:10 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, e: 3, q: 2}. Give prob of picking 2 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:45 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q - 4*q)*(-14 + 5 - 13) + (2 - 1 - 2)*(-5*q + 2*q + q).\nAnswer: 68*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 6283?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 3. Let q be d(-5). Suppose -q - 14 = -4*c. Suppose -c*y + 14 = a - 4, 5*a = -2*y + 54. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -20*r. Let f(i) = 7*i. Give a(f(n)).\nAnswer: -140*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i - 935952 = -94*i - 66*i. What is the remainder when i is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Let w be -1 + 0 + -2 + 2. Let g = 0 - w. Sort g, 5, y.\nAnswer: g, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**4 + q + 1. Let j(p) = -2*p**4 + 10*p**3 + 18*p**2 + 10*p. Let z(k) = j(k) + 4*x(k). Find y, given that z(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 i when four letters picked without replacement from hrrllillrl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l + 16. Is w(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2, -0.27176, 5\/13, 1?\nAnswer: -0.27176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/(-8) - (-3)\/(-12). Let k be (-4)\/q + (-46)\/(-10). Solve 20 = -5*u, m - 4*m - 8 = k*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/(7\/(280\/(-15))). Let v(w) = -7*w**l - 7*w + 0*w**2 - 6*w**2 + 12*w**2 + 5. Determine v(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28026232*i**3 - i**2 + 1182140054 wrt i?\nAnswer: -84078696*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three quarters of a millennium in years?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b - 1 - 1 - b + 0. Let t be f(8). Let i be t\/8 + (-2)\/(-8). What is the highest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/20*-14 - 3334\/480 and -137\/210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/150)\/((-6)\/(-8))*15)\/2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 404 - 336 = 0 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 2*k - 1. Let o be z(3). Let a = -3 + o. What is the units digit of a\/(-2) - 9\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c**2 + 0*c**2 - 3*c**2)*(-60*c**2 - 526*c + 526*c) + (-2 + 2 - 7)*(3 - c**4 - 3) as p + k*c**3 + x*c + h*c**4 + m*c**2 and give h.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 13 = 4*z, c + 3*c = -3*z + 9. Suppose -s - c*r + 32 = -12, s - 2*r - 39 = 0. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873150251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15095 and 24152.\nAnswer: 120760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -11. Let v = 8 + j. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 3*g - 5*g + 4*g. Let d be s(2). Let z be 4 + d\/3 + -3. Solve 0*p = z*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*h**2 + 3*h**3 + 81*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 2, d: 2, p: 8}. Give prob of sequence dp.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/184 and -95\/3974.\nAnswer: 365608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 39 = 5*p + 45, p - o = -2. Let j(z) = -2*z**2 + 15*z + 7697. Is j(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 5491639.848501.\nAnswer: -5491639.548501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -42, -1, 3\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p + 11. What is r(9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44944667 - 4?\nAnswer: -44944671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 365 - 108*n**2 - 182.\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (99\/6)\/(3\/4). Suppose 5 = 9*b - w. What is the remainder when 21 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(7\/8)\/(b\/(b*b*b*b\/b**(-8)*b)) assuming b is positive.\nAnswer: b**(103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11100 and 53132?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/21*(-2)\/4*3. Let b be (c - (-33)\/12) + 2\/(-8). Determine s, given that -s + b*s**2 + 0 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (24 - (26 - 14))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -17*a + 23. Let i be v(-18). Let h = i - 1634\/5. Suppose -7\/5*k**2 - 1 - 1\/5*k**3 - h*k = 0. Calculate k.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(-8*s - 25892 - 7*s + 25771) to q + i*s and give q.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = y + 2, 2*y - 10 = -18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -22*t**4 - 16*t**4 + 95*t**3 - 37*t**4 + 80*t**4 = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1)*-2 + -2. Suppose 0 = -g - w*g. Which is smaller: -2\/17 or g?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.6 - -20.6. Let c = o + -8.3. Let h = 50 + -50.1. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = m + x, m + 4*x + 1 = -0*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36626144857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 6*f**2 - f**2)*(6*f - 4*f - 4*f)*(-2 + 0 + 1).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, -653, 0.0501?\nAnswer: 0.0501","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002202 to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 70082827 = 70082829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from wqwwqqqwqdqwqwq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 370476*q - 3334294. Calculate g(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1101628 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 3*w - 3*d + 14, 354 = 5*w + 4*d. Let u = 78 + -53. Calculate the remainder when w is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 59*o**2 + 10*o - 4. Give q(2).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-49*13\/91)\/(2\/(-12)). Solve -c = 12*z - 19*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 625 = 545. Calculate the lowest common multiple of h and 450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54658802\/462 - (-30)\/(-315) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 - 207. Let z(x) = x**3 - 14*x**2 + 13*x + 1. Let d be z(13). Is 5 a factor of (140\/8)\/(d\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425 - 14?\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3914378 divided by -12.\nAnswer: 1957189\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128122492 + 128122497.00000092. Let f = -0.1 - 4.9. Let y = f + u. What is y rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 128. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/w**(-2\/7)*w*w*w)\/w))**39*w**(-2\/3)*w**(-11))**38 assuming w is positive.\nAnswer: w**(-111568\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -2 - 2597\/(-1). Let k = b + -1380. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15b - -3299?\nAnswer: 313a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/7 + (-60)\/70. Let l be f + 1 + (-12 - -330). What is the derivative of -318*o + 7*o**2 + l*o + 10 wrt o?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - i**3 - 4*i + 3 - 4. Let u be q(-4). Suppose 16 = -k + u. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(sqrt(2299) + 0)*-1 + 1).\nAnswer: -4 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**5 + 4*j**4 - 82*j**3 - 144*j**2 + 56*j + 160 = 0 for j.\nAnswer: -2, -5\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/(-2 - 2)*25 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 23*p**2 + 26*p - 24. What is the smallest common multiple of 1 and n(-19)?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 2:59 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b5680 (base 12) to base 8.\nAnswer: -10400200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -129*h + 2. Let x(m) = -50061*m + 777. What is 777*o(g) - 2*x(g)?\nAnswer: -111*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 473, 449, 409, 353?\n\"Answer: -8*l**2 + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxy when three letters picked without replacement from {j: 2, y: 4, x: 2, q: 1, s: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + (4 - 3)*(0 + -4). Let c(x) = x. Determine c(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -113*w + 111*w + 952. What are the prime factors of w?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06396 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.4 (c) 2 (d) 4 (e) 9\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050 is divided by 1552?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 25*m**2 + 18. What is the least common multiple of 74 and z(-25)?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0488 + 30.9512. Let z = y - 40. Which is greater: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 183292*h - 60455*h - 61423*h - 61414*h + 2 + 7*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 29854690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1691 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l**4 - 12*l**3 + 46*l**2 - 40*l + 19. Let h(u) = -11*u**4 - 12*u**3 + 47*u**2 - 39*u + 20. Let p(g) = 4*h(g) - 5*t(g). Factor p(r).\nAnswer: (r - 1)**3*(r + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -422 + 112. Let a = y + 2767\/9. Find the common denominator of a and 113\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 + 3 - 0. Suppose 37 = 3*m + d*s - 13, 64 = 2*m - 5*s. Calculate the smallest common multiple of m and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3618591 plus 4?\nAnswer: -3618587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4296)\/330 - 20\/25. Does -14 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/4 + 9074967*c\/2 + 27451675350363\/4 = 0. Calculate c.\nAnswer: -3024989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 4*z**2 - 2*z**2)*(31312 - 31312 + 613*z) in the form c*z + g*z**3 + t*z**2 + r and give g.\nAnswer: 1839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 22*y**2 + 49*y - 34. Calculate s(24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.97681 less than -1.344094314?\nAnswer: -2.320904314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 183605753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17120 + -1605\nAnswer: 15515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + g = 597, -w + 4*g = -g - 165. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1440\/11 - -131. Let x = 6 - 3. Let h be 12\/3 - x - 0. Is h < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.46057 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 9) in base 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 8*p - 1. What are the prime factors of h(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 11355 = -3*c + 53883, -2*k + 4*c + 18620 = 0. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67419608 and 6?\nAnswer: 202258824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7531.46 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.20855 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/21, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848470105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, c: 1, b: 1, j: 1, s: 8, d: 1}. What is prob of sequence jdcb?\nAnswer: 1\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -32 (c) 1\/6 (d) 0.2 (e) -23\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 8064.\nAnswer: -5\/1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/32*(-1)\/((-1)\/(-4)). Let v be (90\/l - -9)\/(15\/28). Find j, given that 2\/5*j**3 - 16\/5*j + 2\/5*j**2 - v = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 1 - 0. Let b(s) = -124*s**3 - 2*s**2 - 3*s - 2. Let z be b(v). Suppose -z = -4*y + y. Is 32 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from zgppppkpggacg?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 172 + 921 - 2*s.\nAnswer: 4*s + 749","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g + 1909 = -1655. Is -108 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -42*y + 10. Solve -2*g - 15 = j, y*j + 3*g + 35 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*r + 36, -2*r + 2*d = 7*d - 9. Let q = 26557\/3640 - -3\/728. Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 313 = -4*b + l, 3*b - 5*l - 256 = 0. Let m be (-2580)\/(-14) + 8\/(-28). Suppose w + b = 2*w - 4*r, -2*w = 2*r - m. Round w to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.4 + 7.379. Let w = -3.021 - p. Which is smaller: w or -0.6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202882 and 29469.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 17*g**2 + 17*g - 24. Let q(s) = s**3 + 17*s**2 + 7*s + 123. Let h be q(-17). Suppose 3*v = 6, 4*v + 17 = -h*m - 47. Determine d(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103604895?\nAnswer: 3, 5, 2302331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a4 (base 13) in base 7?\nAnswer: -2566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.15 - 4.4. Let h = c - -0.25. Let o = h - 6. Is -0.2 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/24 + 4*o**3\/3 - o**2 + 2*o. Let k(q) be the first derivative of w(q). What is the units digit of k(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.60522 less than 218139144?\nAnswer: 218139135.39478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:26 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 1 - 1)*(0*j**2 + 0*j**2 - 2*j**2) - 2*j**3 + j - j + 3*j**3 - j**3 - 3*j**3 - 6*j + 4*j**3 + j + 5*j**3.\nAnswer: 2*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0)\/(1\/(-5)). Let u be 5\/(-15) + 4\/(-6). Let h be (2 + -1)\/(u\/(-2)). Solve 0 = -x*j + h*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115597 is divided by 16511?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**5 - i**4 - i**3 - 1. Let m(f) = 63*f**5 + 9*f**4 + 9*f**3 - 3*f + 12. Let k(z) = -9*h(z) - m(z). Find the second derivative of k(s) wrt s.\nAnswer: -1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0505 and -31606524201.\nAnswer: -31606524201.0505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528444300.\nAnswer: 2, 3, 5, 461, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10110 + -14912248\/1475. Let g = -2876\/54575 - f. What is the second biggest value in -5, 2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 6107, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 440166 divided by -3?\nAnswer: -146722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17862152)\/11550)\/(-107) + (-3)\/25?\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25379468 is divided by 1057477.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:23 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 732, 2715, 6008, 10611, 16524?\nAnswer: 23747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 6360130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -39*h - 197. Let g be j(-5). Put 12, g, -1 in decreasing order.\nAnswer: 12, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, 0.03, 3 in ascending order.\nAnswer: -5, 0.03, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*b + 34*b = -2193 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995044 a multiple of 1052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -2\/5 (c) 6 (d) -409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1029)\/1400)\/(-3) + (-1)\/(27 + -19)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*z - 1259759 + 1259544, -5*n = -z - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/8938 and -33\/20?\nAnswer: 89380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22623 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 319\/(-66))*2\/20*2. Let x be 6\/(-4)*(-8)\/42. Let g = 2 + -4. What is the nearest to x in b, g, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 456494266 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (35\/(-10))\/(-7) - (-2)\/4. Let k(d) = d**2 + 4*d - 3. Let w be k(-5). Which is the nearest to l? (a) w (b) -2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -668 + 8665751\nAnswer: 8665083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + 2. Let o = 2.3 - 2. Let z = t + o. Which is the biggest value? (a) 0.2 (b) z (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3830422, -3830431, -3830440?\n\"Answer: -9*h - 3830413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 56. Let y = b + 120. Let a = -248\/3 + y. Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 3, 2, 6.\nAnswer: -4\/3, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to 544580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772728555?\nAnswer: 3, 5, 467, 110311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/11 + (-574)\/(-451). Solve 4*y - 9*y + 11 = 2*x, -z*y + 5*x = -16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -4*v**2 + 7\/6*v**3 + 0 + 1\/12*v**4 - 14*v. List the prime factors of o(6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57, 198, 433, 762, 1185, 1702?\n\"Answer: 47*p**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 3. Let l(g) = -g**2 - 2. Let r = 7 - 9. Let v(s) = r*b(s) - 3*l(s). Let j(i) = -5*i + 2*i + 7*i. Determine v(j(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/16*-4*14. Let t(r) = -r**3 + 7*r**2 + 4*r + 3. Calculate the remainder when t(s) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.270816 plus -0.31?\nAnswer: -0.580816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:00 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94288 and 4524496.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657*f**2 + 653*f**2 - 6099*f**2 + 4136*f**2 + 660*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004803 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -9. Sort -3, 4, x in descending order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1850 and 0.321?\nAnswer: -593.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10931.09 - -10931. What is the nearest to -9\/2 in -2, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/6642 and -55\/9594.\nAnswer: 86346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -99) + (2\/4 - -7*84\/(-392))\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83691 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 + -25 + (6 - -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127759 and 151173.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**5\/2 + 3804*n**4 + 15*n**3\/2 - 19020*n**2 - 6*n + 15216 = 0.\nAnswer: -2, -1, 1, 2, 2536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -790 - -792. Suppose -1724 = -y*x + 1760. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 6*r - 4. What is the units digit of c(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*f + 3*y - 12, y - 40 = -5*f. Suppose 3*p + g + f = 12, -3*p - 4*g + 12 = 0. Solve p*k = -4*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/95786 or 1?\nAnswer: -5\/95786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*s**3 + s**2 - 49*s?\nAnswer: 684*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -20*v - 503. Let m be p(-25). Which is the second smallest value? (a) m (b) -3.1 (c) -7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 110 = 8*d. What are the prime factors of (-1 - -2)*(d + 49)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c**(-1))\/c)**10\/(c**6*c\/(((c*c*c**(-2\/5)*c)\/c)\/c))*c**(-3)*c*c**(-2\/7)\/c*(c*c**(1\/3))**(-40) assuming c is positive.\nAnswer: c**(-5567\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134.1 - -134. Let t = -0.1 - 0.2. Which is the closest to 1? (a) t (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = -5*l. Let t be 4\/(-26) - (-3999)\/559 - -14. Suppose -3 = t*h - 45. Solve -l*g - 3*s = -g - 12, -2*g = -h*s - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*y - 7*y. Suppose 0*o + 2*m = -3*o + 46, -4*m + 44 = 3*o. Calculate the remainder when (4 + -35)*y*-1 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 - 5*x - 5. Let a(o) = -o**2 - 2*o - 2. Let c(p) = -5*a(p) + 2*j(p). Let y(s) = -24*s. What is c(y(d))?\nAnswer: -576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/(c**8\/c)))*c)\/((c*c**(7\/2))\/c))\/(c*c\/c**(3\/2))**(-44))**(6\/11) assuming c is positive.\nAnswer: c**(81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -6*o**6\/5 - 21*o**5\/5 + 9*o**4 + 5*o**3 - 9*o**2 - 24*o\/5 - 154. Let b(a) = 0. Calculate a.\nAnswer: -4, -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/2 - 948*t**2 + 815855*t\/2 + 3748500 = 0. Calculate t.\nAnswer: -9, 680, 1225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20318029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 3. Let y(u) = -u**3 - u**2 + u - 4. Let l(k) = 3*i(k) - 4*y(k). Let v be l(-5). Solve -o + 0 = -v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - u - 1054 = -1044, -3*m + 2*u - 7 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let a(c) = -25478*c - 2. Calculate a(n(j)).\nAnswer: 50956*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40677521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {o: 1, h: 1, z: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1548.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13745940 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 58\/3 of a hour?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 5*o + 5. Suppose 4*k = -5*i - 16, 4*k = 5*i - 0*k + 24. What are the prime factors of x(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-13)\/f)**19*(((f**(-1\/21)\/f)\/f)\/f*f*f)**19 assuming f is positive.\nAnswer: f**(-5605\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p**4\/5 - 3932*p**3\/5 + 13344*p**2 - 310576*p\/5 + 35712 = 0 for p.\nAnswer: 2\/3, 8, 9, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 335 + -333. What is the derivative of 0*i**3 - n*i**3 + 130*i + 28 - 119*i wrt i?\nAnswer: -6*i**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7960 bigger than 7952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {h: 3, r: 7, x: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87169 in 6, -0.2, 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85235 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*p - 5080 + 10585 = -15927 for p.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11487 + 11487.7. Let h = 8 + -5. Let d = -62.1 + 62. Which is the closest to d? (a) h (b) -1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 3*q = 84, -39*q + 34*q = -3*v + 20 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2080552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 93245 (c) -19\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11*b + 4. Let j be (-18)\/(-3) + (72\/(-252) - 52\/14). Calculate v(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*q, 13*v = 15*v - 3*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 12:44 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3 - 35*w**2 + 59*w + 38 = 0.\nAnswer: -19, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5668899 divided by -44637.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 80.74869um?\nAnswer: 0.00008074869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Solve -w*u - 2*u = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 588148*u\/5 - 705792.\nAnswer: 2*(u - 6)*(u + 294080)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4) - 156\/(-16). What is the highest common factor of 210 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22268 and 9158.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 52 (b) 520 (c) 0.5 (d) -0.1 (e) -1 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*j - 91017581*j**3 + 91017583*j**3 + 501*j + 3.\nAnswer: 2*j**3 + 598*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.03.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/186)\/((-1)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/((-15)\/320). Suppose 5*a + 6 + 91 = 4*p, -2*a + 67 = 3*p. Let d = c - p. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**5\/60 - r**4\/4 - r**3 + 5*r**2. Let c be i(6). Let n = -2394 + 2391. Put c, n, 1 in ascending order.\nAnswer: c, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 7. Let k(g) = -3*g - 5. Let p be k(-4). Let s be i(p). Solve s*c = -4*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 105*q**2 - q + 112. Give b(105).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76814 - 76814 + 7*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15552 divided by 3?\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - n - 14 = 0, -4*d + 26 = d - 4*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + ((-60)\/3)\/(-4). Find the second derivative of -v**2 + w*v + 0*v**2 - 2*v wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + 0 - 5*x + 2 + (-4 + 4 + 29)*(-5*x - 2*x + 5*x).\nAnswer: -59*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 26631 = -26646 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -18. Let i(d) = 11 - 11 + 4*d**j. Let g(m) be the first derivative of -m**3\/3 + 1. Give i(g(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114115458 to the nearest integer?\nAnswer: 10682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q + 391. Determine w(-57).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**4\/24 + 5*m**3\/6 - 5*m**2. Suppose 4*z - 2 = 3*z + l, -4*l = -2*z + 8. Suppose z = -s + 9*s. Determine c(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1158.3684 hours to days.\nAnswer: 48.26535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5835935.805 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 2212141?\nAnswer: 2212203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7942122 to the nearest integer?\nAnswer: 2818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100.9 - 101. Let x = -154.9 + 155. What is the fourth biggest value in t, x, -0.03, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3234, 6372, 9690, 13188?\nAnswer: 16866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5\/3 + 8*n**4\/3 + 2*n**3\/3 - 8*n**2\/3 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -2*v**6\/15 - 18*v**5\/5 - 36*v**4 - 144*v**3 - 47*v. Factor f(r).\nAnswer: -4*r*(r + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((((-48)\/(-18))\/(-4))\/(-1))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 - 18 = f, 0 = -2*f + 5*j + 26. Solve f*z + 6 = 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -60. Let p = -59711 + 59738. What is the remainder when p is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, q: 1, w: 10}. Give prob of picking 1 e, 1 q, and 2 w.\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15990)\/(-410))\/((-3)\/(-3))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66232134 divided by -479943.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n = 8*n - 71*n + 2400 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + ((-3 + -2 + sqrt(288) - sqrt(288)) + sqrt(288) - (1 + sqrt(288))*3))**2.\nAnswer: 1728*sqrt(2) + 4932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0207292 tonnes in grams?\nAnswer: 20729.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:49 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(((-12)\/(-28))\/(-1))*(-531)\/236?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, k: 2}. Give prob of picking 2 d and 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14 + 9*c - 2*c**2 - c**2 + 2*c**2. Let d be w(6). Solve 2*z + 0 = -g + 4, -z - d = -g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -436540.85 to the nearest one hundred.\nAnswer: -436500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 - 17)*(3 - r - 3 + 4*r + 0*r - 3*r + r + r - 3*r + (-2 + 2 + r)*(-1 + 3 - 3) + 2*r + 3*r - 7*r) to y*r + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (1 + (0 - 2)). Suppose n*k + 1 = -o + 3*k, -3 = -3*k. Determine x, given that -7\/2*x**5 - x + 5\/2*x**4 - 5\/2*x**o + 9\/2*x**3 + 0 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-2))\/(-1 + 0). Suppose -5 = -4*d + 43. Suppose -5*x + 24 = -r, 0*r + 3*r = 3*x - d. Calculate the greatest common divisor of x and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**5\/10 - 4*c**4\/3 - 5*c**3\/6 - 14*c**2 + 153*c. Let s be v(-8). Calculate the highest common divisor of 516 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 71*c - 170. Determine q(28).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 5*f**3\/3 - 9*f**2\/2 - 5*f - 1. Let k be 336\/60 - (-15)\/(-25). List the prime factors of v(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -7b?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 - 110. Let o(h) = -73 + w - 74 + h**2. Let g(m) = m**2 - 7. Give o(g(r)).\nAnswer: r**4 - 14*r**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 854218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29415630.\nAnswer: 2, 3, 5, 59, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/(-50) - -1) + (-16)\/(-5). Solve 0 = 4*n - n + h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251155 is divided by 178.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (17 - 5) + (111 - 136 - -40).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -2) + 18 + -6 + -2 + 48.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 31.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -42*f + 31. Let r(n) = -298*n + 222. Let k(s) = -6*r(s) + 43*w(s). Calculate k(6).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 26 + 8 - 37*s as y + l*s and give l.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**15\/(u\/(u\/((((u\/((u*u**(17\/2)\/u*u)\/u))\/u)\/u)\/u)*u)*u))**(-2\/23) assuming u is positive.\nAnswer: u**(-51\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1487 and -1487 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*a + 244*a + 302*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n + 2 + 8*n - 2)*(4 - 2 + 1)*(0 + 0 - 3) in the form f*n + q and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23879051 - -4?\nAnswer: -2387904c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41097 is divided by 20548.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1441\/124 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4293*r - 17 + 2137*r + 17 + 2143*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 9. Let r be i(-7). Suppose 0*x = 3*x - r. Let n be (-1)\/(-4) - 62\/(-8). What is the greatest common divisor of x and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + -1*sqrt(972))*6 - sqrt(972) - 2*(sqrt(972)*1 - sqrt(972)))\/(4*sqrt(225) + sqrt(9) - -3*(sqrt(72)\/sqrt(8) - sqrt(9))).\nAnswer: -2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*r - 274*r - 2 - 198*r + 2 to the form x*r + z and give x.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1378 - 1378.1. Which is the nearest to -1? (a) 28 (b) h (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30497*d - 629*d**5 + 29471*d - 549*d**5 wrt d.\nAnswer: -23560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 129*f**6\/10 - f**4\/12 + 93*f**3\/2 - 118*f. What is the second derivative of k(y) wrt y?\nAnswer: 4644*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 155595745987.01?\nAnswer: -155595745990.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-8)\/22)*(-71)\/((-28897)\/(-1554)))\/1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 19}. What is prob of picking 3 o and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/(-6))\/(-1 + 2). Sort 4, g, 0, 5 in descending order.\nAnswer: 5, 4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 343530 and 239430.\nAnswer: 7901190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/1)\/2*(-35 + 35). Sort c, -1, 40.\nAnswer: -1, c, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*v + 14 = 0, 5*v + 2 = -2*l - 6. Suppose 2*u - l*u = -28. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7078*x**2 + 16*x + 16. Is d(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -71*h + 65*h - 102, -3*i + 5*h - 91 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 16*f**2 - 4035*f**4 - 239*f**3 - 8*f**2 - 6*f**2 + 0 + 4037*f**4 in the form h*f**2 + u + p*f**4 + k*f + l*f**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490 and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895930?\nAnswer: 2, 5, 7, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32672, -130659, -294066, -522971, -817452, -1177587, -1603454?\nAnswer: -2095131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 18*u - 49. Let l = 356 + -353. Let d be r(l). Let v(j) = 14*j**3 + 17*j**2 + 3. Let s(i) = 9*i**3 + 1 + 1 + 3*i**2 + 8*i**2. Give d*v(y) - 8*s(y).\nAnswer: -2*y**3 - 3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16*((-912)\/(-855)*10\/8 + 10)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152823 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -939 + 939 - b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/6, 0.3, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 212820728 to the power of 1\/2, to the nearest integer?\nAnswer: 14588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 3, t: 2, m: 3, y: 3, o: 3}. Give prob of picking 1 t and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -1\/6, 3\/5, 0.5, 2021 in descending order.\nAnswer: 2021, 3\/5, 0.5, -1\/6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -63. Suppose -2*a + t*r + 122 = 0, -3*a + r + 181 = -0*a. Calculate the highest common factor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2 - 19332*z + 57978 = 0.\nAnswer: 3, 9663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 518 - 450. What is the greatest common factor of 153 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*b - 0*x + 144, x - 168 = 5*b. Let v = -5 - b. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2845 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/3))**(6\/19)*d*d\/(d\/d**6)*d*d**(-2\/9) assuming d is positive.\nAnswer: d**(1420\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -a12?\nAnswer: a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -2774606986.\nAnswer: -2774606989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4670 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 1, u: 7, f: 3, s: 2, y: 5}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138.6237 - -0.0237. Let k = n - -138.600631. Round k to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 5*x - 3. Let r be m(8). Suppose 5*k = 39 + r. Solve 4*v + 5*o - k = 0, -4*o - 6 = -2*v - 8*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(114) + sqrt(114))*-3)\/(sqrt(540)\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0*p - 1\/168*p**8 + p**2 + 0 + 0*p**6 + 0*p**4 + 0*p**7 + 0*p**3 + 0*p**5. Let n(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2288 and 15028.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 22 - (2 + (-2 + 9 - 17))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/210 + g**5\/10 - g**4\/3 - g**3\/3 - 8*g**2. Let m(z) be the first derivative of r(z). Factor m(l).\nAnswer: -4*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 4. Suppose -8 = g - 6*k + 3*k, -5*k = -d. Sort g, -3, 0 in descending order.\nAnswer: 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7117.\nAnswer: 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -87955, -87957, -87959?\n\"Answer: -2*b - 87953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*((-2665)\/(-20) + 6). Suppose -4*n + z = 54. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 0.05373?\nAnswer: -2.05373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3225.72656795 - -0.1.\nAnswer: -3225.62656795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0\/(2 - 5). Let n be p + (4 - (-3 + 2)). Let u(y) = -6*y**2 - 10*y + 15*y - n*y. Let j(k) = k**2. Calculate j(u(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 6*d + 4*d + (2 - 18 - 14 + 11)*(3*d - 3*d - 2*d) - 4*d - 69*d + 9*d as g + p*d and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.415 from 0.5.\nAnswer: 3.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9752, 9751, 9750, 9749?\nAnswer: 9748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 23 (c) -6 (d) -1\/4 (e) 2 (f) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + v + 17. Suppose -3*p = -3*w - 3, p + 5*w - 3*w - 4 = 0. Suppose -p*i = -i. Is 17 a factor of g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/35762503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 5*p**4\/24 + 167*p**3\/6 - 3*p**2 + p + 127. Give w(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-1*-1 - (sqrt(84) + (sqrt(84) - -1*sqrt(84) - sqrt(84) - sqrt(84))*-6))\/(sqrt(192)*-2 - -4*sqrt(300)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = l + 16, -374*j + 11 = 4*l - 375*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from nrhnu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, -14, -33, -56, -83, -114?\n\"Answer: -2*p**2 - 9*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4)*1 + (sqrt(504) - sqrt(14))*-4)\/(sqrt(7) - (sqrt(7)*2*-4 + sqrt(7)) - (sqrt(112) + sqrt(112)*2 - sqrt(7))).\nAnswer: 19*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.06, -0.5, 5, -5.09, 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6 = 3*a + 4, -2*a + 8 = -4*z. Let j(t) = -t - 3. Determine j(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115120573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 948*b**4 - 2622*b.\nAnswer: 11376*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 + -1.4. Let k = -11 + s. Let w = 1.11 + -0.81. Which is the second biggest value? (a) k (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 207. Let w(c) = -c - 206. What is 3*u(k) + 2*w(k)?\nAnswer: k + 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1113748 - 1113736.000033. Let u = v + -12. Round u to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0 + 0)*(-4 - 3 + 6) - 4 - 2*h + 4 - 2*h + 0*h + h - 177*h - 723*h + 227*h - 375*h.\nAnswer: -1050*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = 17*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 782.508um in nanometers?\nAnswer: 782508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9. Suppose -5*f - 2*y - 4 = 0, -3*f + f - 2*y - 4 = 0. Suppose 0 = -2*s + 41*s + 977 - 314. Sort -5, s, f, b in descending order.\nAnswer: b, f, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1300) - (-5*(sqrt(1300) + 1 - sqrt(1300)) + sqrt(1300)) - sqrt(1300)))**2.\nAnswer: -20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 8:13 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/456 and -93\/41708.\nAnswer: 4754712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 643, 642, 641, 640, 639, 638?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/20 - 3*t**4\/8 - 10*t**3\/3 - 3*t**2 + 3. Let m be i(5). Calculate the highest common divisor of 8 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895.\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 10. Suppose c*l - 5 = 19*l. Let x = 2 + -4. Put x, -8, l in decreasing order.\nAnswer: x, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 231, 943, 2119, 3753, 5839, 8371?\n\"Answer: -f**3 + 238*f**2 + 5*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26755 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 11 (b) -256706 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-345)\/(-130) + 2\/(-13))\/(95\/(-76))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2494 - 2424. Suppose 2*r = 7*r - 210. What is the greatest common factor of r and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -232360, -232357, -232354, -232351, -232348, -232345?\n\"Answer: 3*q - 232363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 10:48 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkwtwkwkww. Give prob of sequence kk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -352.8*-354\nAnswer: 124891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488290 + 4*r**3 - 5*r + 488290.\nAnswer: 4*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 28 = -5*j - 83, -4*f = j - 9. Let u(r) = -200*r**2 + 6*r + 1. Let x(v) = 599*v**2 - 19*v - 3. Let z(b) = j*u(b) - 2*x(b). Is z(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 16. Suppose 4*z + 0*z = -5*n + 26, -3*n - r*z = -22. Suppose -x + 4*x = 9, 3*x = -n*p + 199. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*y = 5*y + 136, -1198*r + 1195*r = y + 80 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3001266\/22 - 14\/77. Suppose -3*q - 150079 = d. Round q to the nearest 1000.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1805 (base 10) to base 6.\nAnswer: 12205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0367 in 4, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Suppose 6 = -3*z + 5*z. Let s(j) = -2 - z*j**2 + 2. Determine u(s(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -816*d + 2428*d - 812*d - 827*d.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 26*f**2 + 55*f - 730. Let r be x(-22). Let n(j) = -6*j. Let s(k) = -3 + 3 - 7*k - 1. Give r*s(v) + 5*n(v).\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -5*q + 5*o + 4, 0 = 2*q + 5*o - 30 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 6561 - 4653 = 0. List the prime factors of i.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21016637 and 21016636 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 1474625*k**2 - 32439935*k + 178416315.\nAnswer: -5*(k - 294903)*(k - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*570.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n + n**2 + 8302*n**3 - 8547*n**3 - 16*n.\nAnswer: -245*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(53\/1431*-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3917662752 from 14.\nAnswer: 3917662766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 2*n + 4*m, -4*m - 159 - 166 = -n. What is the remainder when n is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952305 is divided by 158717.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -11*u**5\/5 - 17*u**3\/3 + 835*u - 66. What is the derivative of d(c) wrt c?\nAnswer: -44*c**3 - 34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:13 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -155172000 to the nearest one million.\nAnswer: -155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5 - 10 = 4*d, -4*i + 57 + 69 = -2*d + 108 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkaakkkkkkkkkkkkk. What is prob of sequence kka?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -82. Let x be o*-3*((-15)\/9 - -2). Suppose -2*c + 182 = -4*y + 7*y, 2*y + c - 121 = x. What is the greatest common divisor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*f + 18, 28 - 34 = f - 3*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-1)\/(-2)*-69. Find the common denominator of 13\/14 and 2\/(-1) + j\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -2. Let w(x) = -x**3 - 3*x**2 - 2. Let p be w(a). What is the units digit of p\/((-2*1)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = -12. Suppose c + 8 - d = 3*f, c + f = 15. Let k be ((-12)\/(-40))\/(12\/c). Is -0.1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 3. Let s(h) = h**3 - 2*h**2 - 14*h + 10. Let n be s(6). Let m(l) = -n - 69 + 140. Determine -4*m(x) + 2*z(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (456\/30)\/((-88)\/(-110)). Let r(g) = g**2 - 19*g - 8. What is r(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 498\/(-115) - (-3930)\/30130.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*z**2 + 183*z**2 + 188*z**2 + 905*z**3.\nAnswer: 905*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -202*i**4 + 291*i**3*p**2 + 1016*i**2*p**2 - i**2*p + i*p wrt i?\nAnswer: -4848*i + 1746*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 + n - 2252. Let w(t) = -9*t**2 + 2*t - 4499. Give 5*p(d) - 3*w(d).\nAnswer: 2*d**2 - d + 2237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c - 2*c - 100 = 0. Solve c*p = 3*i + 6*p + 1, -2*p = 3*i - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 1. Let a(n) = 2*n**2 + 2*n**2 - 3*n**2 + 0*n**2 + 3*n. Let d be a(-3). Let s(j) = 0*j + d - 1 - 4*j + j. What is 5*l(t) - 3*s(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**4 - 1 + 1)*((0 + 1 - 2)*(6 - 4 - 1) + 20 - 12 - 15).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*j**2 - 10*j**2 + 748*j**3 - 166*j**4 - 206*j**4 + 23*j**2 - j**5.\nAnswer: -j**3*(j - 2)*(j + 374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39003.8ml in litres?\nAnswer: 39.0038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 48231 = 3*j, -5*t = -j - 7224 - 8841. Let g = j + 24757. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*j + 100, 5*j = 5*x + 55 - 175. Calculate the smallest common multiple of x and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 76*t + 44 = -775 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 12) in base 2?\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 5:36 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 12910 (c) -4.3 (d) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(11\/(-22)). Solve d = z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -197 + 0 + 8 + -2. Let j = s - -195. Solve -5*a = 4*i + i + 25, a = -j*i - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 21 + 3*m + 5*m - m - 6*m. Let g be n(-18). Suppose g*s + r = 484, -r = r - 8. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, x: 7, p: 1}. Give prob of sequence pxvx.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 7. Let u be m(12). What is the greatest common factor of 34 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019854655 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (51 - (14 + 1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - c. Let l(k) = 8*k**2 + 18*k + 108. Let d(i) = l(i) - 6*y(i). What is f in d(f) = 0?\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 8 = 4*m, m - 1 - 8 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 263*h + 11760. Determine l(-206).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - t**3 + 3 + 3*t as i*t**2 + n*t**3 + j*t + p and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssss. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -11\/2*c**4 + 0*c**3 + 22*c - 6 + 0*c**2. Differentiate m(u) with respect to u.\nAnswer: -66*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -16?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**3 + 4. Let d(o) be the third derivative of -9*o**6\/40 + 5*o**3\/2 - 52*o**2. Determine -15*a(i) + 4*d(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*q**5 + 1210*q**5 + 2220 + 2329 - 4123 - 2*q**2 wrt q?\nAnswer: 68580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 11*i - 9 = 0. What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 0.4 (b) 4\/5 (c) -3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z = -h + 23, -4*h = -3*z + 23. Suppose -4 = -2*l - z*f, -3*l + f = -2*f - 27. Differentiate t - 7 + l + 13 wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 1\/50*s**6 - s + 1\/10*s**3 + 3 - 3\/20*s**4 + 3\/5*s**2 - 3\/100*s**5. Suppose u(o) = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 2*k**2 + k**5 + (0 - 1 + 3)*(155 + 27 - 87)*(2*k**5 + 4 - 4).\nAnswer: 381*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.04119l in millilitres?\nAnswer: 20041.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(240))\/(6*(sqrt(5) + sqrt(45)) - sqrt(5)).\nAnswer: 20*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26 times -9320943\nAnswer: -242344518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w**3 + 29. Let b(r) = -6*r**3 + 14. Let k(t) = 9*b(t) - 4*c(t). What is the derivative of k(i) wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 610 - 223*u**2 + 223*u**2.\nAnswer: 3*u**3 - 610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -872 divided by 100961.\nAnswer: -872\/100961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (13\/(-1))\/1. Let f = 22 + 41. Let p = o - f. Round p to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t**2 - 33 + 15878*t + 33 + 15*t**2 + 16*t**2.\nAnswer: t**2 + 15878*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let d be 1\/((-5)\/(-20)) - (1 - -1). Solve -q*k = 2 + d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - 54 - (-66 + 119 - 51).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 379*f**2 - 92*f + 41. What is the thousands digit of t(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 6. Calculate s(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 + n. Let c be p(-1). Suppose -c*r = -r - 18. Solve 2*l - r = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34746 is divided by 250.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-371)\/(-93) + 98\/(-1568)*16 + (-3)\/1.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -96. Suppose 3*f + s*n - 3 = 0, -n = -2*f - 3*f + 11. Solve 0 = f*k - 6 - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17540 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 3)\/((-2)\/(-10)). Let a(p) = p**3 + 4*p**2 - 5*p + 1. Give a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. Let c(y) = y**2 - 9*y. Let b be c(9). Suppose 2*m - 4 = -b. What is the nearest to l in m, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275146.\nAnswer: 2, 137573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = u + 15, 5*b = -5*u. Suppose -r - 48 = -b*r. Let a = r - 8. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/174936 + -70100743\/58312. Let b = g + 1189. Find the common denominator of b and -41\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {r: 2, o: 9, w: 7, f: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10845.\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(112)\/(sqrt(24)\/sqrt(3)))\/(((1*sqrt(441))\/sqrt(7))\/(-4*2*sqrt(9)))*6.\nAnswer: 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.963 - -51. Round m to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1287 and 2.\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 195175963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3672\/153)\/((-168)\/105)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -14*n + 36355*n**2 - 23*n - 36374*n**2 + 2 = 0.\nAnswer: -2, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 18 = -2. Let z(u) = -u**3 + 3*u**2 + 7*u - 6. Let n be z(y). What are the prime factors of 2 + (n - 0\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2637*u - 2045*u + 2213*u + 914*u + 1287*u.\nAnswer: 5006*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 1786*l**2 - 5355*l + 22. Calculate v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/120 - d**5\/20 - d**4\/6 + 2*d**3\/3 + 2*d**2. Let c be o(4). Let u = c + 9. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 7. Let n be t(-5). Suppose 0 = f - 5, 4*j + 2*f - 3*f + 9 = 0. Let o be ((-2)\/(-3 - -1))\/((-36)\/(-324)). Put n, j, o, 5 in ascending order.\nAnswer: n, j, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Let a = -3 + c. Suppose -o + 0*o + 13 = a. What is the remainder when 37 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3756 divided by -939\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 875, 1731, 2571, 3389, 4179, 4935, 5651?\nAnswer: 6321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -1585?\nAnswer: -1585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39 (b) -3\/4 (c) -0.5 (d) -0.2 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26666809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2823 divided by -2823\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/518 - -2955\/8806. Factor 4\/17 + 0*v**2 + y*v - 2\/17*v**3.\nAnswer: -2*(v - 2)*(v + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 1632*g - 3276.\nAnswer: 3*(g - 2)*(g + 546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 7*h**2 - 3*h + 3. Let q be (-10)\/(-35) - (-19757)\/63. Let x = 319 - q. Find the common denominator of t(-7) and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - (-61 + 109)) + (0 - -33).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15930.89 litres?\nAnswer: 15930890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 7*q - 37. Suppose 28 = -6*d + 20*d. Solve q = d*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 12. Suppose 2*m + m = 213. Suppose -70*h = -m*h + 9. Does 8 divide c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let w(c) be the second derivative of -c**6\/720 - c**4\/6 + 4*c. Let l(k) be the third derivative of w(k). Calculate l(r(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5730 and 2448.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.8 + 10.2. Which is the closest to -2\/3? (a) t (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -31. What is the lowest common multiple of 27 and (-16)\/c + -2 + 5 + -9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 3*d - d)*(-2 + 2*d + 2)*(0*d**2 + 0*d**2 + 3*d**2).\nAnswer: -60*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, i: 1, y: 1, n: 1, l: 3, m: 1}. What is prob of picking 1 m, 1 y, 1 z, and 1 n?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Suppose 0*s + 5*s = 2*k - 25, -2*k = -10. What is the second smallest value in w, s, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/18 + (34 - 27))*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1. Let r(s) = 2*s**3 + 10*s**2 + 8*s + 6. Let q(f) = -7*f**3 - 4*f**2 - 4*f - 1. Let b be q(-1). Let a(g) = b*m(g) + r(g). Factor a(y).\nAnswer: 2*y*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20, -5, 1 in decreasing order.\nAnswer: 20, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -o - 1. Suppose 13*x - o = -17. Solve -4 = -x*q + 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 2 - t**3 - 9*t**3 + 163416*t - 4*t**3 - 163416*t.\nAnswer: -13*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3. Let b(a) = 2*a - 102. Give b(n) - 3*w(n).\nAnswer: 2*n - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9*14\/189*33\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.552434 decades to centuries.\nAnswer: 0.8552434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 1\/4, -0.12, -510, -92, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-3)\/12 + 49. Let w = n - 46. Suppose w*i + 37 = u + u, -5*i = 4*u - 85. Solve -5*p = -0*p + u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fssffdv. Give prob of picking 1 s and 1 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/28 - -33\/140. What is the third smallest value in 0, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27463 - -27511) + (-1 + -1 - 2 - 2)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6804*c**3*g**2 + c**3*g + 180*c**2*g**2 - 2*c*g**2 + 996677*c wrt g.\nAnswer: 13608*c**3 + 360*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 0, 0*v - 2*b = 2*v - 2. Let u = 57 - 58. Let p be 0*1*(-5 + 6). Put p, v, u in decreasing order.\nAnswer: v, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50441277 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -32, 126, -4, 3, 0, -5.\nAnswer: -32, -23, -5, -4, 0, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/30 - 48*s**3\/5 + 300*s. Factor b(v).\nAnswer: 2*v*(v - 144)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (621\/495)\/3 - (96\/(-44) + 2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 14 - (-4 + 7). Let v(n) be the third derivative of 0*n**3 + 0*n**4 + 0 + n**q - 1\/360*n**5 - 1\/1260*n**7 + 0*n - 1\/360*n**6. Factor v(k).\nAnswer: -k**2*(k + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + v - 1 + (-23*v + 86*v - 23*v)*(4 - 4 + 1))*(8 - 18 + 8).\nAnswer: -82*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 4)\/(1\/(-1350)). Round j to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363225781.\nAnswer: 37, 61, 160933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 49 = -4*h, 4*h + 0*h = 2*l + 34. Let j be h + -2 + 2\/2. Suppose -5*x = -y - 344, -4*x = -j*y - 171 - 100. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1265740 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3063137 is divided by 519.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6156 + 0.07.\nAnswer: 6156.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1616, 1617, 1618, 1619, 1620, 1621?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4\/3))\/r*r**5)\/(r**(-2)*r*(r*r**(1\/9))\/r)*(r\/r**(1\/9)*r**3)**(-9\/4) assuming r is positive.\nAnswer: r**(-151\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - 58. Let a = b - -74.99999744. What is a rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406701.9kg in tonnes?\nAnswer: 406.7019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1991 smaller than -965.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498959456 to the nearest integer?\nAnswer: 38716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f + 2 - 1 + 0*f)*(23*f - 3 - 27*f + 1 + f**2).\nAnswer: 15*f**3 - 59*f**2 - 34*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12003 is divided by 5995.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -335 + 457. Factor -42*a + z*a**2 - 60*a**3 - 35*a**3 + 25 - 16 + 65*a**3 - 205 + 2*a**4.\nAnswer: 2*(a - 7)**2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5006277 to the nearest integer?\nAnswer: 2237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, g: 4, s: 1}. Give prob of sequence ggeg.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 165?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 16*y**5 + 8*y**2 - y. Let l(r) = -5*r**5 - 3*r**2. Let f(z) = 3*h(z) + 8*l(z). Find the second derivative of f(v) wrt v.\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1274086943 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55b41 (base 13) to base 7.\nAnswer: -1215641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - t + 2)*(66 + 69 + 36 - 32) to the form z + y*t and give y.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -184, -468, -1018, -1924?\nAnswer: -3276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 1, h: 2, m: 2, z: 1}. Give prob of picking 2 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1500803737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 8*c**2 - 9*c + 2. Let q(u) = -3*u - 8. Let r be q(-4). Suppose -12 = -4*p + 4*l, -r*l = -3*p + p. What is the tens digit of z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (2 - -7) + (2 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968017301.\nAnswer: 19, 50948279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 - -3. Let c = 0.89 - 18.89. What is the third smallest value in q, -1, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1194, 2, 0.4, 48?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/3))\/g**7)\/(g**(-2\/5)*g)**(-7\/10))**29 assuming g is positive.\nAnswer: g**(-22823\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 35 + 27 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 u, and 1 h when four letters picked without replacement from trnrurunnueurhn?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 719 and 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h + 6*h + 5421*h**2 - 5428*h**2 + 18*h.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2 + 33264*z + 138311712 = 0?\nAnswer: -8316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 539 - 1*(-6 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 8 = 5*w. Let t = 0 + w. Let x(i) = i**2 - 3*i - 7. Let a be x(t). Solve -2*h = 2, 0*n + 5 = 2*n + a*h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1658812639 to five dps.\nAnswer: 0.16588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1*(-2 + 3)). Suppose -3*s + 5*s + m = -5*x, 5*s = 2*x - 22. Suppose u - x = 11. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15754 + -0.1.\nAnswer: -15754.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 18 + (10 - 18) + 21 - 168\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 24*s - 8424. What is the highest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1078*z + 506*z - 733*z.\nAnswer: -1305*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243257 - 223772 = -433*q for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(((c*c**7)\/c*c)\/c)\/c)**(35\/6))**(-29) assuming c is positive.\nAnswer: c**(-7105\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**13)\/w*w*w**13)**2 assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4783*-10\nAnswer: 47830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -63. Let m(z) be the third derivative of -z**5\/30 - 5*z**4\/24 - 2*z**3\/3 - 2*z**2. What is m(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2736) + sqrt(2736) + (sqrt(2736)*-1)**2 + sqrt(2736) + sqrt(19) + sqrt(19) + (sqrt(19) - (sqrt(171) - (2 + sqrt(171) - sqrt(171))))**2 + 1.\nAnswer: 30*sqrt(19) + 2812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 20, 3.\nAnswer: 3, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6071438 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*a - 5*b - 2 = 0, 0 = -4*b + 8. Let f(z) = 3 + 4*z - 4 + a*z - 4*z + z**2. What is f(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33\/2 in 13, -2\/3, -0.5, -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1292, -15, 2 in decreasing order.\nAnswer: 1292, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 388 - 336. What is the remainder when x is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -21*h + 13. Let t(n) = n. Calculate 5*t(g) + y(g).\nAnswer: -16*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3580?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 5, 0 in decreasing order.\nAnswer: 5, 0.2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*5*72\/(-200).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3440+-2\nAnswer: 3438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206 + -202. Let r(p) = p**2 - 5*p - 6. Let s be r(6). Suppose s*a - 32 = j*a. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -8 - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508477896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 177 = 33. Suppose 2*j + 6 = 5*j. Let w(m) = 4 + 2*m - 1 + j - b. Calculate w(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 + -5.15. Let h = -0.25 + i. What is the second smallest value in h, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*g = -0*p - 2027, 0 = -4*p + 2*g + 8036. Let j = p - 577. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17291\/7 in 0.2, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2354 - 873. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -8\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.52*565\nAnswer: -293.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 4, q: 1, c: 1, u: 5}. Give prob of sequence uy.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71, -69, -67, -65, -63?\n\"Answer: 2*x - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.095 greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 774*p - 454 wrt p?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 100*g - 177. Give v(-48).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3297 and 44058.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 3. Suppose 2 = -5*s + i. Is s equal to 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 14 - 22)*(-2*w**3 - 2 + 2) + (2*w**3 - w**3 - 3*w**3)*(1 - 2 + 2) + 2*w**3 + 0*w**3 + w**3 in the form g*w + q*w**3 + y + c*w**2 and give q.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.315 and -71269.\nAnswer: 22449.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 20 = -14*p. What is the highest common factor of 180 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -43*m**5\/5 + 3*m**4\/4 - 162*m + 230. Differentiate k(b) wrt b.\nAnswer: -172*b**3 + 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/560)\/((-5)\/(-6) - 1)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (2 + -1*(-1 + sqrt(468)) - ((2*(sqrt(468) + -2) - sqrt(468) - sqrt(468)) + -4)))**2.\nAnswer: -600*sqrt(13) + 2840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 43 + -5 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-1*(1 - 0)). Suppose 5*r - f = 0, -p + 1 = -r - 20. Let a = 2 + 6. Calculate the smallest common multiple of a and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892262?\nAnswer: 2, 7, 17, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 1813626.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l - 2*v = 102, 2*l - 58*v = -61*v + 21 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2468*l**4*z**3 - 2*l**4*z - 115*l**4 - l**2*z**2 - 61*l**2*z - 13*l*z**3 + 21227*z**3 wrt l?\nAnswer: 59232*l*z**3 - 48*l*z - 2760*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 136\/2639?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8180 (base 15) to base 11.\nAnswer: 195aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -140460, -140061, -139662?\n\"Answer: 399*k - 140859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1249*i - 1407640. Give u(1127).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4562776, -4562781, -4562786?\n\"Answer: -5*o - 4562771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -7*c**5\/10 - 13*c**4\/2 + 5*c**3\/6 + 187*c**2 + 2*c - 246. Find the second derivative of o(r) wrt r.\nAnswer: -84*r - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 75 + 95 = 0. Calculate the remainder when 88 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 4:15 AM?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*q + 293 = 0, -170 + 7 = -3*v - 5*q. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.6 (b) 2 (c) -0.28 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28966727*p**3 + 7254*p**2 + 233?\nAnswer: -173800362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, d: 4, t: 1, e: 3, p: 1}. Give prob of sequence ped.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1 - 0) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10878897 to the nearest integer?\nAnswer: 3298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35 and -787232?\nAnswer: 787267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-5)\/(-30)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 60, 92, 148, 234, 356, 520?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-6)\/2)\/3. Suppose 6*n - 2*n = 0. Suppose n = f*l - 0*l - 110. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + b = 0, -5*x - b = -6*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 3, 2\/103 in decreasing order.\nAnswer: 5, 3, 2\/103, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7563433?\nAnswer: 7563433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5*u + 0 + 2\/5*u**2.\nAnswer: 2*u*(u + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2. Let f be -1*2\/((-4)\/6). Let w(c) = -f*c + c + c. Give z(w(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1239631 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.0193 - 33?\nAnswer: -38.0193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.5 (b) -1.1 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 820 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-161)\/(-414))\/(112\/(-24)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 324215 or 324216?\nAnswer: 324216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 6. Let m(o) = 3*o + 2. Let w be m(2). Suppose -w = -0*d - d. What is the units digit of l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) 2\/89 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*k - 185 = 0, o + 3*k - 18 = -0*o. Let z be (-1)\/(2\/(-10)) + -2. Suppose -3*j - o = -3*l - 84, -z*l + 33 = 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: Simplify (f*f**(3\/7)*((f*f*f**(1\/2)*f)\/f*f)\/f)**(-2\/163) assuming f is positive.\nAnswer: f**(-55\/1141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 26*p + 1. Suppose -2*g = 4*i + i - 16, g - i = 1. Suppose -g*d + 2*b - 32 = 0, d = 3*d - 5*b + 14. What is the units digit of o(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4635 (base 8) to base 14\nAnswer: -c7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-28)\/20 + (-98)\/105. Which is the fourth biggest value? (a) -3 (b) i (c) 4\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33213162 (base 7) in base 10?\nAnswer: 2860713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - 98. Let j(u) = 3*u - 517 + 255 + 258 - t*u. Let y(v) = 1. What is -j(f) - 2*y(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 2\/7 (c) 3 (d) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4804.\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1. Let t(d) = -d + 11. Let w = 26994 + -26993. Determine w*t(l) - 4*q(l).\nAnswer: -l + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**8\/280 + t**5\/40 + t**3\/3 + t. Let i(d) be the second derivative of u(d). What is the second derivative of i(h) wrt h?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -347\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = 25*m + 5. Solve -27*a - a = m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a7982 - -361?\nAnswer: a8123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1104 and 30?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284454?\nAnswer: 2, 3, 15803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-10) + 2 + (-25)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(1*sqrt(833)*-5 + sqrt(833)*-3*-4)*6)**2.\nAnswer: 13224708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/10148 and 131\/1416.\nAnswer: 60888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1358353*w**2 - 3009042 wrt w?\nAnswer: 2716706*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (194\/(-1455))\/((-2)\/25)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + -4 - -7 - (-3 - 4). Solve -o*i = 15 - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 4:56 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) 1 (c) -3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/(-84) + (-1652)\/2891?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55)\/(-119) - (-14)\/(-49). Which is smaller: -2\/7 or s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v - 4*v)*(-6 - 9 - 18) - 5 - v + 5 + 0*v - 2*v + 4*v + (398 - 398 - 22*v)*(1 + 1 - 3).\nAnswer: 89*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39252 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a, 15*a - 17*a - 14 = -3*s. Suppose -1484 = -s*j - 1372. Calculate the greatest common divisor of 1204 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 49*p**3 + 0*p**2 - 334*p**3.\nAnswer: -285*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27395 is divided by 615?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-7 + 6) - (0 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 3*t + 2. Determine w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3031824 and 10106080.\nAnswer: 30318240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19454310649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i - k + 10, 3*i - 3*k - 6 = 0. Suppose -r + 2*r + 2616 = -i*a, -r = a + 2620. What are the prime factors of r\/(-28) - 1*(-8)\/28?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 1. Let g(u) = 2*u**2 + 3*u + 2. Calculate -g(w) + 2*r(w).\nAnswer: 2*w**3 - 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2647369 to the power of 1\/2, to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (12 - 5) - (-1 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -113 in 0, -163, -364?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 115, 224, 333?\n\"Answer: 109*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 14\/5*a**4 + 22\/5*a**3 + 2\/5*a**5 + 0*a + 2*a**2 = 0. Calculate a.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203990 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(140))\/(2*(sqrt(4) + 2*sqrt(4))))\/((sqrt(500) - (-4*-2*sqrt(500) - sqrt(500)) - sqrt(500))*5).\nAnswer: sqrt(7)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316302319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 48, 67, 88, 111?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*o**3 - 1158*o + 389*o + 375*o + 394*o.\nAnswer: -653*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230950 and 4960?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 25 = 13. Let x(b) = -2*b**2 + 7*b - 5. Let w = -1\/1780 - 97897\/5340. Calculate the common denominator of x(l) and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69630.\nAnswer: 2, 3, 5, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0 + a - 1\/6*a**3 + 17\/2*a**2. Does 3 divide h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(265\/30 + -9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709422 is divided by 2047?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 13. Suppose -4*u + 8 = 3*g + 17, -4*g + 4*u = 40. Let k(w) = w**2 + 4. Determine g*k(r) + 2*q(r).\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 843896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5590.653mg in nanograms?\nAnswer: 5590653000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 532652?\nAnswer: -532655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1958542 times -16\nAnswer: 31336672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1967 is divided by 20\/(-2 + 6) - (-826)\/7?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7048 is divided by 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*y - 242 = -54 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 1367490.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2358418 (b) -45 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -154.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 = f + 35, 0 = 4*g - 5*f - 36. Suppose 3*h + 132 = g*h. Solve 4*x = 7*x + h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1433 + 1473. What is the smallest common multiple of 140 and f?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 - -265. Suppose -f + 12*k = 13*k + 5, -f - q = -2*k. Let j be (-1)\/(-2) - (-2)\/(-4). Sort -3, 2, j, f in descending order.\nAnswer: 2, j, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -842 = -6*h - 218. Suppose 0 = 3*d + 15, -2*t + h = t - d. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5027*t + 585414 = 3135*t - 2569*t - 6380*t for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7 = -2. Suppose 0 = -d + b*d - 70. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -419 + 420. Let t(f) = -7*f + 3. Suppose 9 - 29 = -4*v. Let q(j) = j. Let s(h) = -h - 1. Let k(c) = 2*q(c) + s(c). Give v*k(z) + x*t(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 654, 2488, 5440, 9438, 14410, 20284?\nAnswer: 26988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1225, 114, 5, -4, -2 in descending order.\nAnswer: 114, 5, -2, -4, -1225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 36 + g**2 + 45 + 22*g + 31. Let m be b(0). Calculate the highest common divisor of 32 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqgqggxqxqqg. What is prob of picking 2 q, 1 x, and 1 g?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58259532.\nAnswer: 2, 3, 4854961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3. Let a(w) = w**2 - 4. Let m = 0 - -14. Let x = -16 + m. Let z be ((-1)\/3)\/((-2)\/18). Give x*a(n) + z*i(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -24756?\nAnswer: 24755.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -18. Let p = 45 + r. Let f be 30\/(-40) + (-10)\/p. Put -4\/11, f, -0.3 in descending order.\nAnswer: -0.3, f, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(1331) + -1 + (sqrt(1331) + 0 + 5)**2).\nAnswer: -5428 - 484*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.86 - -1.78. Let w = b + 0.08. Suppose 7*q + 5*u = 2*q + 160, -u + 5 = 0. Which is greater: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51, 56, 65, 78, 95, 116?\n\"Answer: 2*t**2 - t + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 z, 1 l, and 1 t when four letters picked without replacement from lztccotlqlto?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11623 + 131514. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*t - 8251 = 53*t + 43*t + 58*t for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -37*j + 41. Let c be x(1). Let b be 8\/24 + (-5)\/(-3). Solve -b = r - c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17457, 17355, 17253, 17151, 17049?\n\"Answer: -102*q + 17559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*l - 32062, -2*l + 19238 = 3*q - 0*l. Suppose 150*s + 72*s = 2047062. Let z = s - q. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*0.109.\nAnswer: 0.1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13261561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -576, -553, -494, -381, -196, 79, 462?\n\"Answer: 3*u**3 + 2*u - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 247948470 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 - 4*k + 4*k + 18*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003901 to the power of 1\/2, to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17367 and 86835?\nAnswer: 86835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-212)\/(-477))\/(8\/(-132)*22\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/(-124))\/(3\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 8. Let d be h(13). Let r be 2 - (-4 + (d - 2)). Suppose -3*w = -2*w - r. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/16)\/(((-42)\/4)\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101 - 100?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 5*r, -15 = -v - 0*v - 4*r. Solve -v*h + 5*h = 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 5*y**3 - y**3 + 1 + (-4*y + 2*y + 0*y)*(-2 + 2 - 6*y**2).\nAnswer: 14*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618633843 to the nearest integer?\nAnswer: 24872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 - 5*c**4 - 7*c**4 + (-c - c**2 + c)*(-5 - c**2 + 5 + (2 - 1 + 0)*(-4*c**2 + 31*c**2 - 7*c**2)) + 2*c**3 - 2*c**4 - 2*c**3.\nAnswer: -35*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*r**3 + 560*r**3 - 273*r**3 + 96 in the form b*r + f*r**3 + q + z*r**2 and give q.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 4 - (-3 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 51 - 1)*(-8*b + 7*b + 13*b) + 2*b + b - 5*b + 3*b + b - 3*b to f + d*b and give d.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224492.8 centimeters to micrometers.\nAnswer: 2244928000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6176, 13418, 20872, 28544, 36440, 44566?\n\"Answer: q**3 + 100*q**2 + 6935*q - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 4*c + 1, -b - 2*b + 3*c = -12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -l + 3*u - 0*u, -3*l - 3 = -3*u. Solve -x + 12 = l*x + i, -2*x + 2 = -i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111 + 100001?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7332.4497 rounded to the nearest one hundred?\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -2 - (-19 + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 38*j + 90*j + 11*j to the form b*j + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 - -204. Let o = -47 - -9. Let x = o + q. What is the closest to -0.1 in 1, x, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 1 - (-864 - -840).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49026 by 6.\nAnswer: -8171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, -48, -103, -106, -39?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/9 - 106*z**4\/9 + 278*z**3\/9 + 1106*z**2\/9 - 280*z\/9 - 1000\/9 = 0 for z.\nAnswer: -2, -1, 1, 5, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64244065 (base 7) to base 9.\nAnswer: -11235807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9327.978 nanoseconds in hours?\nAnswer: 0.000000002591105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**5\/80 - 45*i**4\/16 - 261*i**3\/8 + i**2 - i - 7. Find o, given that c(o) = 0.\nAnswer: -87, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0177358 rounded to 5 dps?\nAnswer: -0.01774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 326*x**3 + 45*x.\nAnswer: 1956*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.77, -0.31, 2\/7, 0.3 in increasing order.\nAnswer: -0.31, 2\/7, 0.3, 0.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 548685500 to the nearest one million.\nAnswer: 549000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3040 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:55 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322, 1234, 2750, 4870, 7594?\nAnswer: 10922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3289 - 12*i + 1592 + 1697.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*i = 18, -z + 2*i = -2*i - 9. Suppose 35 = -4*b - z. Does 3 divide (-142)\/b + 7\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 354496, 709439, 1064382, 1419325, 1774268?\n\"Answer: 354943*w - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1320615 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71407025 is divided by 18826.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2980826 (base 10) in base 11?\nAnswer: -17565a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7714 and 11002194.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4210 - 4210 - 265*m to c + o*m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 18 = b, 4*b = v + 2*v - 3. Let h = v - 3. Suppose 3*o - 7 = h*o + 3*u, -o + 13 = 3*u. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 3*v**5\/20 + v**3\/2 + 2*v**2 - 4*v. Let i(n) be the first derivative of m(n). What is the first derivative of i(x) wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 5:50 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 5. Let z(p) be the second derivative of -p**3\/6 + 5*p**2\/2 + 1793*p. Give 5*u(a) - 6*z(a).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 - 560428*u - 19049928 = 0. Calculate u.\nAnswer: -140073, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 22.99. What is v rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188378 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*x - 88 = -x, x = -4*o + 77. Suppose -4*s + 10 = s + 2*n, -5*s - 4*n = -o. Solve s = 3*q + 9, 0*m - m - 7 = 2*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 11. Let k = 25 - i. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1 + 3 + (-13 - -28). What is the second smallest value in t, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**2 - 5*r + 5. Let t(d) = -4*d**2 - 2*d + 2. Let a(q) = 2*h(q) - 5*t(q). Let o(g) = 2*g. Give o(a(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.019 - -0.191. Let p = 3.79 + t. What is the second smallest value in 0.5, 2\/9, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/60*10\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171404 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35878611653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(sqrt(98) + 2) + sqrt(98) + 2.\nAnswer: -28*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145*-4.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2 - 146292*y - 33923169 = 0. What is y?\nAnswer: -48531, -233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 120, -7, 33 in increasing order.\nAnswer: -7, 1, 33, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**2 - 2*p + 201. What is h(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0124 - -0.2.\nAnswer: 0.2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62389 is divided by 240?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906104 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 6*y = -10, 2*y = 22550*p - 22552*p + 36 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**7\/70 - x**6\/10 - x**5\/4 - x**4\/4 + x**2\/2 + 4. Let c(k) be the second derivative of y(k). Factor c(a).\nAnswer: -3*a*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*a - 194, 3*a - 4*a + 2*l = -83. Let m = a + -56. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04770688103 to five decimal places.\nAnswer: -0.04771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3 + (-14)\/(-4)). Solve -9 = -f*u - u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*q + 1 = -10*q, -t = -4*q - 3. Which is smaller: -1\/2494 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 - 123*z**3 - 119*z**3 - 2*z**2 + 235*z**3 in the form v*z**3 + r*z + s + k*z**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 30013222?\nAnswer: -30013203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.538256362 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 minus 3964.04595491?\nAnswer: -3986.04595491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22052510 or 22052508?\nAnswer: 22052508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i - 12. Suppose -19 = i*q - 3*a, 8 = 2*a - 2. Let j = 7 - q. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 69, -9554 in decreasing order.\nAnswer: 69, -4, -9554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*z + 2981 = -619. What is the remainder when z is divided by ((-32)\/(-10))\/((-1)\/(-5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12078 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1627*t + 4140 + 960 = 1471*t - 3198*t for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1843, 3682, 5517, 7348, 9175?\n\"Answer: -2*o**2 + 1845*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 72478676 divided by 3\nAnswer: 72478676\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 5*l**2 + 10*l + 7. What is v(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.6. Let m = 17 + -19. What is the closest to -0.3 in m, v, 3\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2, -3546, -1, -0.5 in decreasing order.\nAnswer: -2\/9, -0.5, -1, -2, -3546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 3*s**2 - s - 2. Let j be a(-2). Let b(f) = -f**2 - 7*f + 4. What is the units digit of b(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 143?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/81396 and -41\/3610?\nAnswer: 7732620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 + 94. Let t(f) = -f + 5. Let u(x) = x - 2. Determine a*t(w) - 10*u(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 888 or 847?\nAnswer: 847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -481 - -309.3. Let s = -172 - k. What is the closest to 1 in s, -0.03, -6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2, 0*f - 3*f + 0*f - 8*u + 13 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*v + 109*v + 96*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 12. Let z(b) = 79*b**3 - b**2 + 2*b - 1. Let o be z(s). Suppose 0 = -2*l + 75 + o. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 6. Let l be (28 - 0)*(-14 - -7 - -8). Suppose 0*w + l = -7*w. Determine r(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/4 (b) -3\/2 (c) 6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f**3 - 61*f**3 + 37*f**3 - 8*f - 17*f.\nAnswer: -3*f**3 - 25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 73?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 871 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 311510 + 1054?\nAnswer: 313004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2188075 is divided by 892.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-98)\/2*-3 - 0. Let f = 6\/53927 - 126566765\/862832. Let q = b + f. Calculate the common denominator of q and -103\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/6)\/(1318\/659)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7116 in -3, 0.4, -10\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 293684641969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.4 - 5.4. Let t = u + 27. Let i = -27.97 + t. Which is the closest to -2\/5? (a) i (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q + 5761 = 2*p, p = 4*q + 4610. What are the prime factors of q\/(-7) - (-6)\/63*3?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 451044 and 39798.\nAnswer: 1353132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11332133 - 13314?\nAnswer: 11313314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**4\/24 - 29*s**3\/6 - 314*s**2. Let r(p) = 1. Let b(u) = -u + 1. Let z(j) = -2*b(j) + 2*r(j). Give z(v(k)).\nAnswer: 2*k - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455980 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 8*l - 15. Let w be j(-7). Let b(i) = -i**3 - 7*i + 47. What is the remainder when b(0) is divided by -6*(-4)\/6 - w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 75, 285, 695, 1371, 2379, 3785, 5655?\n\"Answer: 11*j**3 + j**2 - 4*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 - g**3 + 2*g + 5*g**3 - 6*g - 7*g**2 - 2 + g as h + m*g**3 + p*g**2 + f*g and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 6*i - 2. Let t(s) = s**2 + 2*s + 5. Let q be t(-2). Suppose -4*n + 201 = q*j - 5*n, 0 = -n + 4. Let y = j - 36. Calculate l(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmknlnnkkklnlkmknk. Give prob of sequence nkml.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, e: 2, c: 5}. Give prob of picking 1 e and 1 c.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i**5\/3 + 260*i**4 + 342*i**3 = 0.\nAnswer: -9\/7, 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.41237 litres to millilitres.\nAnswer: 61412.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 295*s - 6844. Calculate q(23).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 36\/739 (b) 4 (c) 2\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -a715?\nAnswer: -a711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -596.9 + 600.9. Let z = -0.003 - 3.897. What is the closest to 3 in v, z, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {i: 1, m: 1, k: 1, w: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851*s = 5*k - 841*s + 15, -5*k - 5*s - 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(-3*m + 5*m - 3*m)*(-31 + 31 + 3*m**2 - 6*m) as q*m**2 + j*m + x + b*m**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 36*l + 431. Calculate j(-14).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4795 is divided by 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*f*i + 9*b**2*i + 36*b*i - 2*f*i + 8*i + 86 wrt b.\nAnswer: 4*b*f*i + 18*b*i + 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2627840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 5 (c) -2\/6259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -433*j + 4. Let u be v(-12). Round u to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/24)\/(20\/80). Solve m + 15 = -a*n, 2*n - 20 + 19 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.88 + -0.12. Is g at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*b**2*v*x - 12174*b**2*x**2 - 2*b*v + 39*v*x**2 - 12*v*x + 2*v - 29*x**2 wrt b.\nAnswer: -34*b*v*x - 24348*b*x**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - 11\/(-4). Solve -19 = -4*d - q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.053 + -0.253. Which is the nearest to y? (a) 0.5 (b) 0.05 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 13. Let q = -20015 - -20119. Calculate the remainder when q is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*g - 2480 + 2480 to the form j + f*g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 4. Let p be (4 + 2)\/(4\/q). Let v be (-5 + 1)*(0 - 1). Solve -j + 12 = -4*i + p*j, 2*i - 12 = -v*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 7:43 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 11515641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -5. Suppose t + 10 = -l*g + 63, 13 = g - 2*t. What are the prime factors of g\/2 - (-4)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 13314 = 13*o. Is 46 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.4 - -9.8. Let o = 175 - 207. Let p = o - w. Does -1\/3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3 - 36344*h**2 - h + 138835 wrt h.\nAnswer: 6*h - 72688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + (-1 - -2) - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + d + (0 - 4 + 2)*(-2 - 2*d + 2))*(1677939*d - 1724*d**2 - 1677939*d).\nAnswer: -8620*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 26. Let h be m(-11). Suppose -4*j - 40 = -4*x, 35 = 2*x + 5*j - 2*j. Suppose 3*q + x = -5*p + 4*p, -3*p = 2*q + h. Solve p*n = 4*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 723384 and 1836.\nAnswer: 723384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -64394*l**4 + 8*l**3\/3 - l**2. Let j be v(11). Round j to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 5*b. Let n be r(7). Let w be 24\/n + (-10)\/(-35). Suppose -1 = t, d - 5*t - 5 = w*d. Solve d*v = -2*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -6*g + 7*f - 15, -2*f + 5 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from uqfuuuuquuffguqffugg?\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/987269 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -579718 divided by 28?\nAnswer: -289859\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {u: 5, e: 1, w: 3}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = -49 - 50. Let t be -2*71\/s - 12\/(-54). Solve -3*g - t = -7*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l + 43 = 3*g, 2*l = 10. Suppose 21 = r - 5*w, g = -2*w - w. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117.4 * 0.243\nAnswer: 28.5282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q + 6*q + 132 = 0. What is the nearest to 1\/2 in 0, 0.1, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3618778.\nAnswer: 2, 19, 95231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**3\/3 + 13*y**2\/2 + 45*y - 50. Let k be v(-8). Let g(s) = -2*s**2 + 7*s - 7. Determine g(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22810968.\nAnswer: 2, 3, 316819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -18 + -13 - -17 - -13 - -20.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-50)\/(-6))\/(965\/579). Solve -3*z - 4*q - 16 = 19, -2*z = -c*q - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 12. Let j = -9 + s. What is the third biggest value in -0.2, 1, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c. Let t(n) = -n**2 - 687*n. What is t(h(u))?\nAnswer: -4*u**2 + 1374*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26611 and 3293.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 3. Let y be o(2). Let h be (-2)\/(-3) - (-2)\/y. Suppose h*l = l - 20. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -26. What is the units digit of (-7)\/((-14)\/(-4)) + w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:25 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74375*d**2 + 1 - 74375*d**2 + 86*d**3 - 388*d**3 - 115*d**3.\nAnswer: -417*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**3\/6 + 7*p**2\/2 - 17*p + 26. Let j(l) be the first derivative of a(l). Is j(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 5*h + 91, -28 = 8*z - 4*z + 3*h for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 3*n + 35. Determine d(-7).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 3 - 3*i - 5*i + 57 + 4*i. Calculate p(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btbttllenbnbblbn. What is prob of picking 1 l and 2 t?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 29*n - 326. Determine z(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 48 = d, -193 - 75 = -5*d - h. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 9. Let g be i(-6). Suppose 5*j = 2*k + 12, -2 = g*j - k - 9. Let q(l) = -2*l**j - 4*l**2 + 5*l**2 + 2*l**2. Let f(t) = t. Determine f(q(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*o**4 + 2*o + 346*o**4 + 22*o**4 + 86 wrt o.\nAnswer: 6240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -23*y**3 - 436*y**2 + 19*y - 1. Give n(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -472 + 473.1. Let r = 142 + -141.9. Put t, r, -3\/5 in descending order.\nAnswer: t, r, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**3 + y**2 + 10*y. Let q be b(-8). What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/355964?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:23 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 461478025.9999963 + -461478105. Let x = -67 - -146. Let o = x + a. What is o rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2418*q + 2391. Determine v(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 96*p - 14. Let c(q) = 32*q - 5. Calculate 8*c(u) - 3*v(u).\nAnswer: -32*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31022987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105252944 by 2.\nAnswer: 52626472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - 1 - 5 + 0 + 5 to i*r + p + a*r**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00149080096 to 5 dps.\nAnswer: 0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 244?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15816, -15815, -15814?\nAnswer: -15813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsshhsshsh. What is prob of picking 2 h and 2 s?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/11 + 1121016*r**4\/11 - 15694486*r**3\/11 + 72867660*r**2\/11 - 112104400*r\/11 = 0. What is r?\nAnswer: -560522, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 9855.0346.\nAnswer: -985.50346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3563.1 - 2597.5. What is j rounded to the nearest ten?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 36\/24)*28 + 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5352.55 to the nearest one hundred.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12068879, -12068877, -12068875, -12068873?\n\"Answer: 2*b - 12068881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o + 6 - 17 + 11 to the form d*o + a and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14611194 and 0.3.\nAnswer: 4383358.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 482141 to the power of 1\/2, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9713)\/(-143929)*(-10)\/(-55)?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 605266436 - 3?\nAnswer: 605266433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/44616 and -49\/2574.\nAnswer: 133848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -808*y + 2*y**2 - 7*y**2 + 818*y = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*r**2 - 13869*d**3*r*w - 229*d**3*w + 2*d**2*w - 171*d*r**2 + 2364*d - 4*r**2 - 2*r*w wrt d?\nAnswer: 12*r**2 - 83214*r*w - 1374*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 - f. Let h be z(-1). Let v be (-22)\/(-2) + (h - -1). Suppose 2*w = w + v. What is the remainder when 18 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h**2 + 3*h + 22. Let c be k(0). Solve 4*q + 2*m - 10 = 0, c = 4*q - m + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(24) - (1 + sqrt(684) + sqrt(19)).\nAnswer: -13*sqrt(19)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.67094s to milliseconds.\nAnswer: 5670.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 + 4. Let d = 1 - q. Let i = 14\/5 + -3. Sort d, 0, i.\nAnswer: d, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-12))\/(8\/(-10740)). Suppose 204 = -h + a. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-12)*(-1)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 13699*b = 13704*b - 15, 21 = 5*i + 3*b for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 6*a + 2*a + (-2 + 0 + 0)*(3 - a - 3) + (-5*a + 4*a - a)*(3 - 5 + 1).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k + 2. Let x(r) = -3*r + 2. Let j(l) = 4*f(l) - 5*x(l). Let p(s) = 2*s + 4. Let g be p(-1). Determine j(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-978)\/1141)\/(1*(-30)\/336*2\/(-10))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 - 36*d**3 + 54*d**2 + 280*d - 456 = 0?\nAnswer: -19, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 2*n**2 - 5*n - 7. Let o be i(-2). Suppose -2*s + o = -1317. Does 60 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 12 = 0. Suppose -4*i - t = -2*i. Let u be (-3 - (2 + -4)) + (0 - i). Solve 20 = 3*q + u*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4460*f = -4455*f + 17, -3*o = f + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82218023 to the power of 1\/2, to the nearest integer?\nAnswer: 9067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 6*h - 1. Let g be m(6). Let f = 3 + g. Suppose -i - 5*w + f*w = -7, 4*w = 2*i - 14. 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 value of -2 + 3 + (-1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - -2 - (81 + -67))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdrrk. Give prob of picking 2 r and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 13*p**2 - 28*p - 25. Let d be v(15). Let k = 21 - d. Calculate the greatest common factor of k and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - 2*p**4 - 7*p + p**2 - 3*p**3 - 3*p**2 to the form h + i*p**3 + n*p + u*p**2 + v*p**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8000 + 16047. What are the prime factors of t?\nAnswer: 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {l: 1, p: 4, q: 3, m: 1, z: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9\/31 (b) 0.04 (c) 0.4567 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1254, -2497, -3754, -5031, -6334?\n\"Answer: -a**3 - a**2 - 1233*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(539))**2 + 4 + (-1*sqrt(539))**2 + 3 + (2*(sqrt(539) + -5*(sqrt(539) + -1) - sqrt(539)))**2)*-1.\nAnswer: -55086 + 1386*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16822972.\nAnswer: 2, 4205743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2853, -2 in descending order.\nAnswer: 4, -1, -2, -2853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.336, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)\/((p\/p**(3\/5)*p)\/p))\/((p\/p**(1\/4))\/p**(-3)))\/((p**(-1\/2)*p)**(17\/3)\/(p**(-1\/2))**(3\/13)) assuming p is positive.\nAnswer: p**(-5147\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.77 + -1.37. What is the closest to -1 in -3, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195439672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s**2 - 3*s - 11. Let o be x(-6). Suppose 12945 - 43206 = -o*y. Suppose y = 3*p + 2*w, -5764 = -4*p + 2*w - w. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -68?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3267*u**4\/5 - 1029006*u**3\/5 + 995487*u**2\/5 - 46168*u + 3140 = 0.\nAnswer: 5\/33, 2\/3, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41320947 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -232821900 rounded to the nearest one million?\nAnswer: -233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962708 + 10*l - 962708.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -422023 (base 5) in base 4?\nAnswer: -3122331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 5:06 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -200134104 and -975.8.\nAnswer: -200135079.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75454 + -75456. Let t = 0 + -0.2. Let l = t - -0.1. What is the closest to -1\/4 in l, q, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:57 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(252)*1 - (sqrt(252) + 1 + 0)) + 0)**2.\nAnswer: 324*sqrt(7) + 20421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*b + 2*b. Suppose 3*m - b = 2*f, -3*m + 0 + 13 = 2*f. Solve 3*i - f*i = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 - 76.\nAnswer: -77.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5)*(-1 - 1 + 3)*(363*a**5 - 872*a**5 - 341*a**5).\nAnswer: -1700*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1082829 and 418.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -851, -1277, -1703, -2129, -2555?\nAnswer: -2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.63 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877183 is divided by 146185.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*(897 + 61) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 2. Let b = -2 - v. Calculate the remainder when 10 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8 and (3\/(-14))\/(7\/(5537\/42)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102420 divided by -9\nAnswer: 11380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 2.9. Let n = -1.5 - h. What is the closest to 3 in 0.2, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 4*b**2 - 4*b + 1. Let i = 997 + -995. Give x(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = 1. Let t = 4.6 - -1.4. Let g = 6.3 - t. Is i greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5828 - 186*w**3 + 5828.\nAnswer: -186*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 + 2*g. Let n be t(-2). Let c be (-34)\/56 - (-46)\/(-322). What is the nearest to n in -1\/2, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -467, -1897, -4279, -7613, -11899?\nAnswer: -17137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/40 - x**5\/20 - x**4\/12 - x**3\/6 - 3*x**2. What is the tens digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 1. Let r be s(5). Let i = -73 - -71. What is the nearest to -0.3 in r, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -130?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96387362*o**4 - 9921607*o - 9 wrt o.\nAnswer: -1156648344*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 5*i - 19. Suppose -t - 4*x + 4 = 3*t, 0 = 4*t - 5*x + 14. Let j(q) = -11*q + 1. Let y be j(t). What is the tens digit of f(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*f**2 - 4\/9 + 2\/3*f = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*n - 781, 3*a + 5*n - 458 = 55. What is the lowest common multiple of 42 and a?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by -100446.\nAnswer: -39\/33482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -9 - 6. Let x = k - -3. Let i(v) = -4*v - 6. Calculate the remainder when i(-7) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.3, -1, 1, -0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/19874244 and 5\/18.\nAnswer: 59622732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 6717705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 388*p + 250. Let s be t(-14). Let u = 9999 + s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (980 - 980 + k + 37*k**2)*(132 - 132 - 5*k) + 6*k**3 - 3*k**3 - k**3 to i*k**3 + g*k**2 + a*k + o and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, b: 2, t: 5, q: 1, u: 1, i: 1}. What is prob of sequence ujt?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -421*h**2. Let u(a) = -a**2 - 4*a - 12. Let s(w) = 9*w**2 + 27*w + 81. Let g(t) = 4*s(t) + 27*u(t). Calculate o(g(k)).\nAnswer: -34101*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 4 + 5*i - 2*i + 2.\nAnswer: 3*i + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -865, -1729, -2595, -3463?\nAnswer: -4333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*g**3 - 26*g**3 - 21*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1223\/7 + 175. Which is the nearest to 0? (a) 0.4 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 8:15 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3*o**2 + 1. Let k be c(-3). Suppose -5*i - k - 4 = 0. What is the common denominator of i\/4 - (-96)\/(-18) - -3 and 91\/46?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1 + 3*w)*(25 - 6*w - 43 + 20)*(85 + 27*w - 85).\nAnswer: -486*w**3 + 324*w**2 - 54*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(-177)\/(-3009)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 3*q + 5\/3*q**3 + 0 + 0*q**2. Is 10 a factor of x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7318*x**2 + 1407*x**6 + 391*x**6 - 5426*x**2 + 39*x**6 wrt x?\nAnswer: 220440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/75*5695\/(-6834).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 0 - 3\/2*a + 3\/2*a**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942 = -2*d - 944 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1.85\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmv when three letters picked without replacement from hvvvhvhhdvhm.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 41*i**2 + i + 1. Let l be o(-1). Suppose -3*v - l = -173. Let w = v - 13. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 + -160.88. Let o = 160.99913 + l. Round o to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**9\/5040 - g**6\/240 + g**4\/6 - 6*g. Let d(i) be the third derivative of l(i). Find the second derivative of d(h) wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12220 (base 3) to base 12\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(1\/2)\/g)))**49*((g**(1\/4)\/g)\/g)**(-48)*((g*g**(2\/5))\/(g*g**(7\/3)\/g*g))**36 assuming g is positive.\nAnswer: g**(-101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -92, -129, -198, -305, -456, -657?\n\"Answer: -y**3 - 10*y**2 - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 + 56*m**2 + 48 + m + 10*m**2 + 29*m**2 + 48 in the form n + u*m**2 + y*m and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:41 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21665.20300019 - -20107.2029929. Let b = -1558 - r. What is b rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 395319756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0 - 1\/6*o**3 + 0*o**2 - 3*o. Let l(w) = -9*w. What is l(t(h))?\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.41 - 1.\nAnswer: -11.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*t - 54*t + 122*t + 45*t + 53*t in the form v*t + x and give v.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7496*n + 111011. Calculate j(15).\nAnswer: -1429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*n - 23 - 22, -3*n + 35 = 5*j. Solve -4*o - j = 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 5:36 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460, 397, 338, 289, 256, 245, 262?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 54 = -3*n, 220*n = 2*u + 223*n + 58 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 283 and 75 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (9 + 2)) + -5 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7.5 or 790?\nAnswer: 790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 783, 1470, 2145, 2802, 3435?\n\"Answer: -v**3 + 694*v + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 7*g + 15. Let p be c(19). Let k = p + -162. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -62. Let j = -9 - a. Solve 6*i = j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {c: 5, f: 2, u: 1, i: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -0.01, 0.4, 326373\/7 in descending order.\nAnswer: 326373\/7, 4, 2, 0.4, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96774 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = x - 4, 5 = x + 1. Let b(t) be the third derivative of -2*t**2 + 0*t + 1\/6*t**4 + 1\/3*t**3 + q. What is the derivative of b(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*(-60)\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496533?\nAnswer: 1496533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008989 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7599*j - 1043. Let v(x) = 152*x + 21. Calculate 3*l(i) + 149*v(i).\nAnswer: -149*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*h**2*u**3 + 2*h**2*u**2 + 85*h**2*u + h*u**3 + 21*h*u**2 + 40*h*u + 2*h + 17199*u**3 wrt u?\nAnswer: 474*h**2 + 6*h + 103194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18214665 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-3)\/108*2). Suppose -o*l = -13*l - 3384. Let v be (-1)\/(-4) + 774\/l. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 508 - 122. Suppose -t = 2*j - 825. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8437 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 1\/60*x**5 + 0*x + 0 - 4*x**2 + 1\/12*x**4 + 1\/6*x**3. Find h, given that u(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2674*x = 2672*x + 1, -4*x - 10 = 6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3 + 10 + -8)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3646*y**3 + 379*y - 379*y.\nAnswer: -3646*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + 617. What is the remainder when k is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/4 + 2\/4. Let n(s) = 4*s + 2754613 - 5*s**2 + s**3 - 2754613. Determine n(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113818, 227813, 341972, 456289, 570758, 685373, 800128, 915017?\n\"Answer: -n**3 + 88*n**2 + 113738*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + m = -95, 2*o + m - 29 = o. Suppose 35*b - 8 = o*b. Suppose -3*y - 4*d = 0, -5*y = b*d - 7*d. Solve z + y = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13271025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j + 10. Differentiate 2*z - 1 + j + 0 - z with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -69, -133, -227, -357, -529?\n\"Answer: -b**3 - 9*b**2 - 30*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 3. Let x(z) = -z - 1. Let h(o) = 3*t(o) + 5*x(o). Calculate h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4378 and 180587.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1331) - sqrt(1331))*3 - (sqrt(132) - sqrt(132)*3*6 - sqrt(132))\/sqrt(12)) + -1)**2.\nAnswer: 96*sqrt(11) + 25345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 13*a**3 - 2*a**2 + 4 in the form u*a + y + x*a**2 + d*a**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 - 5*v**2 - 4*v - 2. Let b be u(-3). Let l = b + -22. What is the highest common factor of l and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217177424 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -667 + 670. Calculate the least common multiple of x and 521.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33\/7 - -153\/28. Let w be ((-75)\/(-12))\/5*2\/(-5). Which is the fourth smallest value? (a) 5 (b) 0.3 (c) k (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -17 - ((7 - (14 + -7)) + -4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -16. Suppose -7 = -z*q - 2. Let u = 0.5 - 1. Which is the second smallest value? (a) q (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566469?\nAnswer: 3, 113, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 4:13 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 188836579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 2, a: 1}. What is prob of sequence aqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 1. Let a(q) = 7*q - 7. Give a(c) + 5*p(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*d)*(22 - 26 - 36204*d + 4 + 15158*d).\nAnswer: -42092*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 3955748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2547264051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - -112?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, -46, -193, -484, -967, -1690, -2701?\n\"Answer: -8*u**3 + 5*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10389 - 12041 + 12469 = -224*u - 12479 for u.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 3*f**2 - 2*f. Let i be h(-3). Solve -l - 12 = -3*c, -l = -i*l - 5*c + 40 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6467.886 and 15?\nAnswer: 6452.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248299060 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 - 12*r. Let n be p(-4). Let z be (-76)\/n - (140\/7)\/4. Put -0.2, 62, z in increasing order.\nAnswer: z, -0.2, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -292710*c**2*j**3 - 3*c**2*j - 1195129*c**2 wrt j.\nAnswer: -878130*c**2*j**2 - 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 11, 74, 2 in increasing order.\nAnswer: -8, 2, 11, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(2\/5)*z*z\/z**(1\/4)*(z**(2\/7)\/z)\/(z\/(z\/z**(4\/7))) assuming z is positive.\nAnswer: z**(149\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624*n - 749 = 499. Let o(y) = -y - 3. Let x be o(-5). Sort n, x, -33, 5.\nAnswer: -33, n, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 15*j. What is u(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 15, -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4\/7 (b) -5 (c) -4\/9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -141*k**3 + 73*k**2 + 57*k + 11. Let u(a) = -424*a**3 + 220*a**2 + 172*a + 32. Let q(n) = -8*l(n) + 3*u(n). Solve q(p) = 0 for p.\nAnswer: -1\/4, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5ba + 4?\nAnswer: -5b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 12. Let h(u) = u + 1. Let m be h(3). What is the nearest to r in m, 4\/7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Suppose b + 0*b = 3. Suppose 0 = -2*q + 11 - b. Solve 0 = u*r + 3*t - 13, -q*r + 6*r + 2*t - 12 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22*f. Let z be t(9). Let g be (8\/(-32))\/(z\/4). Let w = g + -37\/198. What is the smallest value in w, 3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4079896977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 615 and 1360.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/131117 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.739 rounded to zero decimal places?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = -110*h + 5*x + 56, -4*x - 155 + 155 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100001001 (base 2) to base 8.\nAnswer: 6411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.04 - -2.96. Which is the smallest value? (a) 32 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004402383 rounded to 7 dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4\/7, -5, 0.01.\nAnswer: -5, -0.2, 0.01, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797298783.\nAnswer: 3, 2459, 108079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35432 is divided by 132?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4 - 6*f**4 - 4 - 3*f**4 with respect to f.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1466 divide 6214250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15 = -6*x, -965*b + 960*b = 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z**2 - 5*z - 5. Let x(w) = 3*w**2 + 2*w + 2. Let y(s) = 2*h(s) + 7*x(s). Suppose y(v) = 0. What is v?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 6\/(-3) + -2 + -30. Let h = -1 + -3. Let x be a\/(-8)*5\/h. Sort 3, x, 0.4 in decreasing order.\nAnswer: 3, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15432 is divided by 15418.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvvp when four letters picked without replacement from qvvvpooppvvopoovvo.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:48 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - q + q)*(2 - 1 + 1) + (4*q**2 - 4*q**2 - 3*q**2)*(3 - 5 - 7) + (-q + 0*q + 2*q)*(4*q - 16*q - 6*q) as f*q + w + z*q**2 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 753241 - 2*p + 10*p**2 + 8*p**2 - 753105 to the form u*p + i*p**2 + s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 + 0*x + 10865*x**3 + 59470*x**3 + 0*x.\nAnswer: 70335*x**3 + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*n*s - 2*j**2*o*s - 261*j**2 + 38809*j*n*o*s - 14*j*o*s + 6*j*s - 6*n - 3*o*s wrt n.\nAnswer: -j**2*s + 38809*j*o*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 36 = -6*m. Let d(i) = -i**2 + 8*i + 25. Let y be d(9). Solve f + c = m*c - 10, 4*c = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 543*v\/2 - 1083\/4.\nAnswer: -3*(v - 361)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65.1 - 65. Which is the second smallest value? (a) g (b) 0.5 (c) 5 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 86533734.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 12. Let u be (-3)\/h - -303*43. Suppose 0 = c - 46032 + u. Round c to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0399 + -0.04. Round c to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-814*t + 3270 - 3270)*(t**2 - t**2 - t**2 + (-3*t + t + 3*t)*(t - t - 2*t)).\nAnswer: 2442*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 229436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/25*10\/2\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*k = -165 + 167, 5*j - 5*k = -25 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose 4*y = 3*x - 16, 4*x + y - 13 = -2*y. Suppose -c - x*k + 20 = 0, 3*k = -5*c + 46 - 14. Solve -c + 0 = m*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11134 and 238502?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s**2 - 22*s - 6. Let l(t) = -4*t**2 + 11*t + 3. Let z be 3\/(-2)*(-104)\/12. Let j(h) = z*l(h) + 6*q(h). Suppose j(m) = 0. Calculate m.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsaavphph. Give prob of picking 1 v, 1 h, and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 12, -2799, -9\/5, 3?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*j + 2 = -1, -1 = -d - 4*j. Let z be d\/((-2)\/(-8)*1). Let v(o) = 3*o**2 - o + 0*o - z*o**2. Let x(t) = -7*t**2 - 6*t. Give -6*v(k) + x(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 11 = -p, -12*p - 3*a = -10*p - 27. What is the closest to 0.2 in p, 0.1, -4, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2070.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -84\/25 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2988\/11, -1, 0.2.\nAnswer: -2988\/11, -1, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88909?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.431068 - 0.4017\nAnswer: 0.029368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 0.3, 4, 0.039, -284?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1104.4 - 1104.4000001002. Round m to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96615 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*x + 5*x - 9*x - x as o*x + s and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 6)*(2*s - 2*s + 2*s**2)*(0*s + 3*s - 2*s)*(-3 + 6 - 4)*(-210 + 315 - 157) in the form g*s**3 + m + f*s + r*s**2 and give g.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.14, -4, -11147 in decreasing order.\nAnswer: 0.4, -0.14, -4, -11147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3155 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let y be 1*3 - (8 - 6). Let o(u) = 5. Let t(a) = y*z(a) - o(a). What is the derivative of t(l) wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22501 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -487713189 rounded to the nearest one million?\nAnswer: -488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 630*p - 6584. Determine m(199).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-8580)\/363)\/20. Factor 0*f + 0 + 4\/11*f**2 + z*f**3.\nAnswer: 2*f**2*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0.092 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = -38*s + 36*s, 4*s + 3*u - 2 = 0. Solve 4*o + s = 22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3)*1 + -1*(sqrt(3) - sqrt(9)\/sqrt(3)))**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*q + 6 + 4, 0 = q + p - 6. Suppose -3*l - 3*n = 2*l + q, -5*l + 4*n = 40. Let r be (4 + -2)\/(l\/(-30)). Solve -m - r = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -466, -503, -560, -643, -758, -911?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164 - 115. Suppose 312020 = 34*s + 311544. What is the smallest common multiple of s and r?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 - 115 = -9*r, -2*n + 4*r = 76 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2. Let f(i) = -i - 217178. Calculate u(f(s)).\nAnswer: s**2 + 434356*s + 47166283684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (-67 + 73 + -26).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22977666 + 22977665.87999983. Let x = -0.12 - o. Round x to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 2*n, 3*h - 2*n = 7*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-4))\/((-9)\/468). What is the tens digit of (-436)\/(-10) + u\/65?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o + p, 2*o + 2*p - 7 = 1. Let r(b) be the third derivative of 0*b - b**2 + 1\/6*b**3 + 0. Let j(q) = -q + 6. Give o*r(m) - j(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 14545 + 75630. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 - -1041500662?\nAnswer: 1041500255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {r: 5, z: 4, e: 4, i: 2, u: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42431.\nAnswer: 151, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 6*z**2 - 7*z - 8. Calculate t(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -70181807.\nAnswer: -280727228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 7*w**4\/4 + 11*w + 7. Differentiate h(d) with respect to d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*w**3 + 0 - 1 + 17*w**3 - 27*w**4 to the form o*w**4 + f*w**3 + m*w + z + n*w**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 56*u**2 - 519*u - 6191. Calculate q(-48).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*t - 7*l - 29, 2*t + 5*l = -7. Let z(g) = 3 - t - 941*g + 2. Let b be z(1). What is b rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1436 = 4*z + 1452 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1104*m**2 - 2*m\/9.\nAnswer: -2*m*(4968*m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-1 + 4 - -3). Suppose a*f = -2*u + 4, -3*f + 46 = 5*u + 15. What is the least common multiple of u and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -10*w. Let g(o) = -4*o + 2. Let p be g(2). Let l = p - -8. Let r(d) = -2 + l - 2*d + 3*d. Calculate r(z(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 1378167315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 19*y + 306 = 0. Calculate the highest common factor of 306 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45304 - 48798.1. What is s rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 196811 and 10077915?\nAnswer: 9881104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -170*(245\/10)\/(-7)?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91529 + 46673 = 801*x for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001057 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2908 and 40075148.\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2028*k*m**3 + 18*k*m**2 + k*m*q - 2*k*q + k - 3113*m**3*q - 7174 wrt m?\nAnswer: -12168*k - 18678*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42884116?\nAnswer: 2, 11, 47, 89, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -2800*y**5 - y**3\/6 + 5*y**2\/2 - 6*y. Suppose 0*s = -2*s + 10. Let z be i(s). What is z rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -34141.\nAnswer: 1\/34141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 3*t + 3. Let o be z(-3). Let q(w) = -21 + 557*w + 558*w - 1114*w. Let k be q(26). Solve d - o*x = -1 + 5, 4*x + 20 = k*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(8 - 13 - 8)*(-2 - 3 + 4)*(2 + 0 + 8*c - 4*c) as z*c + w and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2978134982 to the power of 1\/2, to the nearest integer?\nAnswer: 54572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.1414 - -0.1414. What is the nearest to 3 in -0.3, c, 30, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16 - 17)\/(2\/(-122)). Let n = -1 + q. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, 1, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*q - 102*q - 113*q - 187*q + 634*q.\nAnswer: 165*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31815*r + 14085 wrt r?\nAnswer: 31815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and -79530.95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 1 + 22*z**4 - 43*z**4 + 17*z**3 - 2*z**2 + 23*z**4 - z**3 to the form x*z**4 + a + v*z**3 + w*z**2 + y*z and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -4. Let b be (-2 - (5 + 1)) + r. Let v(h) = -h**3 - 10*h**2 - 10*h + 3. Does 12 divide v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2058 times -2575?\nAnswer: 5299350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 - -127. What is the smallest value in -0.2, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 + 11*s**2 - 6*s**2 - 17*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 0*d - 343*d**3 - 3*d + 4*d.\nAnswer: -343*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 16 = -4*l, 0 = 4*c + 3*l + 10 - 0. Let t = c - -8. Solve -8 + 4 = t*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 74353.18m?\nAnswer: 7435318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.65495 and 0.203.\nAnswer: -0.45195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -5*c - 4*a, -54 = -9*c + 7*c + 5*a for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184433532.\nAnswer: 2, 3, 19, 808919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48, 1, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 0. Let k be a*(-1 + -2) + 1. Let p(t) = -2*t**3 + 7*t**2 - 8*t - 1. Let v be p(k). Round v to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 8*y**2 - 7*y - 2. Let v(m) = m**2 - 2*m - 519. Let i be v(24). Give k(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/3374 + 42139\/40488. What is the common denominator of -89\/14 and f?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -28. Let b(o) = o + 1. Give b(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16005971 to the nearest one hundred thousand.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uucuuuuuuuc?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(17)*-1 + -4) - (sqrt(17) - (sqrt(425)*1 - sqrt(425))) - (-4 + sqrt(68)\/sqrt(4))*-3.\nAnswer: -8 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2102, 11, -2\/147?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13e9 - 1037?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1838801 (base 9) to base 14\nAnswer: -1cb513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108 * 0.05.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-2\/5)*t)**(2\/35)\/((t**(-1\/4)\/t)\/((t*t\/(t*t**0*t*t)*t)\/t)) assuming t is positive.\nAnswer: t**(279\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s - 3*s**2 + 0 + 0*s**3 + 0*s**4 - 1\/60*s**5. Let f(v) = -3*v**2. Give j(f(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by (-2 + (-51)\/6)*-2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l - 1 - 1 + 13*l)*(-3 - l**2 + 2 + 2*l**2).\nAnswer: -2*l**3 - 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/1283 + 37213\/3849. Does r = 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5131097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(-2 + 22). Suppose 0 = -0*k - 2*k - t, 120 = 5*x + 3*k. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.21 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 5, n: 7, y: 4}. Give prob of picking 2 m.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4022, -8056, -12102, -16166, -20254, -24372, -28526, -32722?\n\"Answer: -m**3 - 4027*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:37 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4197 + 0.0077. Let f = i - -0.512. Is -151 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -445.\nAnswer: -3\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.4 - 0.65. Let h = -0.05 - l. Let x = -0.14 + 0.34. Put x, h, 0.4 in ascending order.\nAnswer: x, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 110630*v + 774397. Give b(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -60 + 33 - 69 - 40 - 192*t + 136*t. What is the hundreds digit of b(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -15 - 5. Let c = -3 + w. Let p = 29 + -13. Solve -c*q + 6*q = -p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 5, 21, 43, 71?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3959352624 + -3959352646.00000083. Let f = r + 22. What is f rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -465 - -117. Round w to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-5)*z\/(z**(-25)\/z) assuming z is positive.\nAnswer: z**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/2 - d**3\/2 + 11*d**2 - 22*d + 12 = 0. What is d?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17530 and 2.\nAnswer: -35060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3898038, 3898035, 3898032, 3898029?\n\"Answer: -3*y + 3898041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -43, -0.3, 5.\nAnswer: -43, -4, -0.5, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/7611 and 80\/1239?\nAnswer: 53277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v - 13. Determine w(3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -219, -218, -207, -180, -131?\n\"Answer: h**3 - h**2 - 3*h - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2516 and 296?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -107\/5, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*r + 3*a, 2*a + 22 = -3*r + a. Let o be r\/(-7) - (2 + -1). Suppose 4*f - 4*h - 13448 = -7*h, -f - 3*h + 3371 = o. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and -17.\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 6. Let l be n(-10). Solve k = 3*k + l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*o**4 - 19*o**2 + o - o + 91*o**4 wrt o.\nAnswer: 480*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 10*i + 8 = 5*i, -8*i = 5*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (2*sqrt(68) + 0))**2 + -4 + 0)*1.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-2)\/1)\/2)\/1. Let i = 4 - 2. Let f be i*2\/16 + -2. Is l <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324*2.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313934, 313939, 313944, 313949, 313954, 313959?\nAnswer: 313964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -1\/9 (c) 2\/7 (d) 0 (e) -18\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001 - -11001100110100101?\nAnswer: 11001100101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2772 and 109\/2376?\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s**3 - s**2 - 7*s + 4. Let q(j) be the second derivative of 2*j**5\/5 + j**4\/12 + j**3 - 3*j**2\/2 - 4*j. What is 6*i(l) + 7*q(l)?\nAnswer: 2*l**3 + l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by 133.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9643 = -5*g - 1023. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000793333 rounded to six decimal places?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 231)*(0 + -1). Let k = r + -1987\/9. Find t such that -k - 2\/3*t + 8\/9*t**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 67. Let v(h) = -h. Let g(f) = i(f) + v(f). Let w be g(0). Let n(z) = 35*z**2 - w*z**2 + 29*z**2. Let t(r) = -9*r. Calculate n(t(u)).\nAnswer: -243*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19019 and 7315?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*w + 3 = 0, l - 22 = 4*w - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-16) - 150\/(-48). Let l(b) = 339*b - 679*b + 343*b. Give l(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*x + 2*x + 7 = 0, 10 = -5*r + 4*x. Suppose 4*b = 0, -5*j + 12 = -r*b + 2. Solve -j*k - 2 = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:12 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175211605 to the nearest integer?\nAnswer: 13237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4\/11)*(y*y*y**3)\/y)\/(y\/((y\/(y**24*y))\/y))**13 assuming y is positive.\nAnswer: y**(-3659\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 186191987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*u**4 + 12*u**2 - 1563168*u + 211454964 wrt u?\nAnswer: -12*u**3 + 24*u - 1563168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619688300?\nAnswer: 2, 5, 7, 11, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, j: 4, k: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(112))**2)*-2 + -3.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 25 = 15. Let f(o) = 19*o + 130. Let m be f(-6). Solve -i*b - 1 = -m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 42 = 3*d, d = w - 2*d - 22. Let a be (-6)\/w + 1 - 412\/(-20). Suppose -a = -2*i - 5. Solve -l - i = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1228, -1230, -1230, -1228, -1224, -1218, -1210?\n\"Answer: x**2 - 5*x - 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -76, -111, -146?\n\"Answer: -35*p - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16702 by 5.\nAnswer: -16702\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -1661, -3486, -5767, -8348, -11073, -13786?\nAnswer: -16331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3517 divided by 9.\nAnswer: -3517\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -8*h + 12*h - 5*z - 4, -15 = 5*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 49 = 25*c. Let t be -106*(c + 56\/(-16)). What is the highest common divisor of t and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -9, -1\/5.\nAnswer: -9, -1\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11145\/204 + (-12)\/16. Let y = 20471\/408 - h. What is the common denominator of -77\/4 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2614.\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.14489, 0.1, -13, 1\/6, 0.2, -0.06?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -51. Suppose 2*a - q = 3*a - 4, -i*a - 10 = -q. List the prime factors of (0 + (-12)\/18)*(-22 - a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*a + 4*a - 53, 2*f = a + 29. Suppose l = -11*l - f. Let t be (-3)\/(-9)*(0 - 1). Which is greater: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 + 523*b**3 - 4457527 - 9*b**2 + 4457527.\nAnswer: 523*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, p: 5, m: 10}. What is prob of picking 4 l?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.3, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4737810 is divided by 118?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -57767316.\nAnswer: -57767316.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4 - 2*c**3\/3 + 7*c - 92. Let y(p) = -2*p**3 - p**2 + 3. Give 6*n(k) - 14*y(k).\nAnswer: 4*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 5*h + 8, -3*t = -3*h. Which is the second biggest value? (a) 5 (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.3. Which is bigger: a or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11429 - 11418. Which is the biggest value? (a) -4 (b) o (c) 0 (d) -0.1 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0567 in -2\/11, 0, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(684) + sqrt(684)*-2 + 4)**2 - (-2 + sqrt(684)*4 + sqrt(684) - sqrt(684))).\nAnswer: -2106 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46752 and 72160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 8.82, -2\/43, -3\/83, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 209, 770, 1709, 3026, 4721, 6794, 9245?\n\"Answer: 189*n**2 - 6*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*w = -295*w - 75152. Does 141 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 752 * -0.11.\nAnswer: -82.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 4*n**2 - 940*n + 5626. What is t(6)?\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41070271 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 146 + 0*x**2 + 2*x - 1\/3*x**3. Let a(c) = -c**2 + 4. Determine -3*a(k) + 5*b(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69965 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -598*g + 771*g - 2076 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 5 (c) 0.4 (d) 2\/17179 (e) -0.2 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31487674.\nAnswer: 2, 19, 73, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 70806787.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -18\/3224719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 902\/117 + -68\/9. Which is smaller: 6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:05 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + -4 + 15 + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*b - 2*b - 9*b + 9*b**4 wrt b?\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.59 - 0.09. Let l = 1 - h. Sort -2\/7, -1\/6, l in increasing order.\nAnswer: l, -2\/7, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 61?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o - 2. Suppose 0 = -y + o + 5. What is the smallest common multiple of y and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -77*v - 40. Let o be k(-5). Let y = o - 338. Solve -4*t = -1 - y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*v - 469 - 14738 = 8*v + 8301 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-220)\/(-198) - -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*k - 7 = 4*k, -3*k - 6 = 3*h. Let g be 2\/(-11) - 2\/(-11). Solve -2*i - 1 = 2*a + 1, 3*i + 2*a - h = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933802107 to the power of 1\/3, to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-22))\/(2\/4). Let l = -0.02 + -0.38. Let a = -0.97 - -3.97. Put l, q, a in increasing order.\nAnswer: l, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l - 4. Let c(d) = -14*d + 124. Let q(a) = -14*a + 87. Let m(k) = 2*c(k) - 3*q(k). Determine -4*m(h) + 11*s(h).\nAnswer: -h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*h = -995*h + 17745 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/18 - (-1)\/(-9). Which is the second biggest value? (a) d (b) 3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 10c8?\nAnswer: -10cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*c - 59 = 0, -6*k + c - 12 = -83 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -743, -742, -743, -746, -751, -758?\n\"Answer: -t**2 + 4*t - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209285, -208934, -208573, -208196, -207797, -207370?\nAnswer: -206909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 91, 84, 65, 28, -33, -124?\n\"Answer: -a**3 + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 5*b - 1. Let x(z) be the first derivative of 4*z**3\/3 + 3*z**2 - z - 43. Give 6*t(u) - 5*x(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**5 + 0*n + 3*n**5 + n)*(-283 + 218 - 468 - 559).\nAnswer: -5460*n**5 - 1092*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177279*m**6 + 3481*m**2 + 52*m wrt m?\nAnswer: -21273480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 210350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) - (-35)\/20. Let r(z) = -2*z - z + 2*z - 4 + z**t. Let f(k) = -k - 3. Give 3*f(o) - 2*r(o).\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 - -18 - -8)*1\/3. Solve -l*n - 4*y - 1 = 3, 0 = -4*n - 5*y - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 339 by -339.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -201, -426, -735, -1128?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n + 1087 = -6*n - 563 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 0 + 1\/4*r**3 - 3\/2*r**2 + 2*r = 0?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 840 - 1313*p**2 - 124 + 1316*p**2 in the form g*p + a*p**2 + r and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8)\/(11\/(3 - -173)). Suppose 11 = 5*n - 9. Solve n = 2*q + 3*c, -4*q + 0*q + i*c = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3 = -3*j, -5*k + j + 5 = 6*j. Let d(i) = 32*i - 3*i + k*i - 30*i. Let n(q) = 11*q - 3. Give n(d(p)).\nAnswer: -11*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00077 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 11*b**2 + 10*b + 8. Let k(l) = -4*l - 2. Let o be k(2). Let q be a(o). What is the highest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462495, -925000, -1387505, -1850010, -2312515, -2775020?\nAnswer: -3237525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Let l = -0.34 + -1.66. Which is the smallest value? (a) n (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -698382888 by -3.\nAnswer: 232794296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16283\/48 + -2733\/8. Calculate the common denominator of r and 71\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157105 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let r(s) = -4*s**2 - 6 + 0*s**2 + 3*s**2 + 3*s. Let f be r(i). Round f to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5376\/(-480)*((-180)\/56)\/3*128\/160?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**3 + 2*u**3 + 2*u**3)*(-2 + 2 - 2*u) + 11 - 11 + 4*u**4.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*p + 80*p**4 - 1 - 33*p**4 - p**2 + 1 wrt p.\nAnswer: 564*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -16. Suppose -c + 6 + 5 = -2*r, r = -c - 1. Calculate the remainder when d is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-412)\/13699)\/(140\/570)?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 394.0103 - 394. Let v = -0.01026125 + t. Round v to six dps.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 513379, 5 in ascending order.\nAnswer: -3, 5, 513379","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 5*r**2 - 1\/3*r**3 + 0*r - 7. List the prime factors of i(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 - 90. Let g(r) = -8*r**2 + 66. Determine g(p(y)).\nAnswer: -72*y**4 - 4320*y**2 - 64734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2. Let j(x) = -x + 2. Let h be j(-8). Let z(w) = -h*w**2 - 14*w**2 + 15*w**2. Determine z(c(g)).\nAnswer: -81*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*c - 7*c - 205, 0 = -c + 5. What is the tens digit of ((-2)\/(-5))\/(9\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 19 + 6 + 30 + 41. Let t = 3 + -3. Is y(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 422867 or 422870?\nAnswer: 422870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(32)\/sqrt(4)))\/((sqrt(88)*-2)\/sqrt(8)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -19785 divided by -1\nAnswer: 19785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -161*u - 434. Let s(b) = 19*b + 51. Let i(m) = -5*f(m) - 42*s(m). What is the units digit of i(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/4, -21, 1\/69, 2, -5, 0, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -175560737 to the nearest ten thousand.\nAnswer: -175560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p - 112. Determine u(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Suppose 4*o + d = 3*o - 7099999, 0 = 5*o + l*d + 35499998. What is o rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101101100110111 - 111?\nAnswer: 10101101100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2347 + -2347.1. Let o be -8*(20\/8)\/5. Which is the closest to -1? (a) y (b) -5 (c) o (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19980900 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33891 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + 165*z**2 - z + 53. Determine y(55).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 936891 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 16 + 2. Let m be (-48)\/t - (-1)\/(-3). Let p be (-4)\/m*(-36)\/(-32). Which is the second biggest value? (a) 0 (b) -3\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:47 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 623, 6, 5, 8, 3 in descending order.\nAnswer: 623, 8, 6, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133.\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 4 + 15 - 10 - 1.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -15.108486.\nAnswer: 7.554243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*r**2 - 6*r**2 - 9*r**2 + 593*r**4 - 10*r**2 + 1056*r - 571*r**4 + 1 wrt r?\nAnswer: 264*r**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 8 + 0 - 20 + 908*f + 12591*f.\nAnswer: 13499*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 - 90 = -13*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 278 + -285. Let g be 1 + (-6 - (w + 0 + 4)). Let u(y) = -2*y**3 + 2*y**2 - y. What is u(g)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044558910 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -344 and 0.371?\nAnswer: 344.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2402953 and 4313428?\nAnswer: 8491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**7\/21 - d**5\/20 - 59*d**4\/3 + d + 113. What is the third derivative of b(n) wrt n?\nAnswer: -120*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 40. Let h = 11 - b. Suppose -4*m + 51 = h*y, 0 = 3*m + 3*y - 0*y - 42. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*3)\/(sqrt(32)\/(sqrt(16)\/sqrt(4)))*-1.\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Let c = 0.88 + 0.02. Let w = 1 - c. Is l greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -74*w - 223. What is y(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2 + 0 + 0). Let j = u - -36. Let m(i) = -i**3 + 5*i**2 + 7*i + 6. What is the remainder when j is divided by m(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - -1a?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(-6 + 102\/18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/15*(2 - 32). Let c be 560\/4200 - 1492\/(-60). Solve -2*t - b + 5*b = d, 5*b = t + c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(252) + (sqrt(252) - (1 + sqrt(252))*2) - (sqrt(252) + 0 + 2)) + sqrt(252) + -1*sqrt(252) + 3 + 1 + 5 + 1)**2.\nAnswer: -864 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100135592.\nAnswer: 2, 12516949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 17*o**2 - 30*o + 7. Let x be v(-15). Suppose -j - b - 2 = -x, 5 = -3*j + b. Which is smaller: j or -2\/855?\nAnswer: -2\/855","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-14))\/((-28)\/(-49)))\/6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.2, -0.043?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 41276460.\nAnswer: 82552920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 5*n + 3. Is 35 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.384 + 19.2. Let l = 12.816 - k. What is the closest to 1 in 0.3, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.94? (a) -1 (b) 118 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 0*l - 3*l - 19 + 4*l**2 - 6*l. Let d be 1\/(3\/(-6)*(-2)\/12). Is i(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342424 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1653, -8830, -27109, -62040, -119173, -204058, -322245, -479284?\nAnswer: -680725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 2*x**3 + 237*x + 2*x**2 - 7 - 240*x in the form w + i*x**2 + b*x**3 + s*x and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65470*q - 22050 = -65155*q for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = 7475. Let z = h - 10440\/7. Find the common denominator of z and -1 + (-30)\/(-22) - -4.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596*l - 1594*l + 4789*l - 1595*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21413506 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**4\/2 + x**3\/3 + 13*x**2. Let s(v) = v**3 - 6*v**2 + 6*v - 6. Let n be s(5). Does 7 divide g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327 (base 16) in base 5?\nAnswer: -124103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + a + 0*a)*(159*a - 215*a**2 - 159*a) + (-3*a**3 + 2*a**3 + 11*a**3)*(-1 + 1 + 4) in the form i + s*a + w*a**3 + n*a**2 and give w.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 - 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15480 divided by -2580\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/7 in 0.02, 8, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4173949159?\nAnswer: 59, 2689, 26309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -44, 36, 9, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -0.8 (b) -5\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8476 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234206 is divided by 1813.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}